Metis---2.4.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP777-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 10:50:46 EDT 2022

% Result   : Unsatisfiable 173.86s 174.08s
% Output   : CNFRefutation 178.25s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(sos01,axiom,
    difference(A,product(A,B)) = B ).

cnf(sos02,axiom,
    product(A,difference(A,B)) = B ).

cnf(sos03,axiom,
    quotient(product(A,B),B) = A ).

cnf(sos04,axiom,
    product(quotient(A,B),B) = A ).

cnf(sos05,axiom,
    product(product(A,B),product(C,D)) = product(product(A,C),product(B,D)) ).

cnf(sos06,axiom,
    product(A,A) = A ).

cnf(sos07,axiom,
    product(product(product(A,B),B),product(B,product(B,A))) = B ).

cnf(sos08,axiom,
    bigC(A,B,C) = product(product(A,B),product(C,A)) ).

cnf(sos09,axiom,
    product(product(a,c),product(c,b)) = product(a,b) ).

cnf(goal,negated_conjecture,
    bigC(a,b,x0) != bigC(c,c,x0) ).

cnf(refute_0_0,plain,
    product(product(A,B),product(C,A)) = product(product(A,C),product(B,A)),
    inference(subst,[],[sos05:[bind(D,$fot(A))]]) ).

cnf(refute_0_1,plain,
    ( bigC(A,B,C) != product(product(A,B),product(C,A))
    | product(product(A,B),product(C,A)) != product(product(A,C),product(B,A))
    | bigC(A,B,C) = product(product(A,C),product(B,A)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(A,B,C),product(product(A,C),product(B,A))) ),[0],$fot(product(product(A,B),product(C,A)))]]) ).

cnf(refute_0_2,plain,
    ( bigC(A,B,C) != product(product(A,B),product(C,A))
    | bigC(A,B,C) = product(product(A,C),product(B,A)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),product(product(A,C),product(B,A))) )],[refute_0_0,refute_0_1]) ).

cnf(refute_0_3,plain,
    bigC(A,B,C) = product(product(A,C),product(B,A)),
    inference(resolve,[$cnf( $equal(bigC(A,B,C),product(product(A,B),product(C,A))) )],[sos08,refute_0_2]) ).

cnf(refute_0_4,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_5,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_6,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( bigC(A,B,C) != product(product(A,B),product(C,A))
    | product(product(A,B),product(C,A)) = bigC(A,B,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(A,B,C))),bind(Y,$fot(product(product(A,B),product(C,A))))]]) ).

cnf(refute_0_8,plain,
    product(product(A,B),product(C,A)) = bigC(A,B,C),
    inference(resolve,[$cnf( $equal(bigC(A,B,C),product(product(A,B),product(C,A))) )],[sos08,refute_0_7]) ).

cnf(refute_0_9,plain,
    product(product(A,C),product(B,A)) = bigC(A,C,B),
    inference(subst,[],[refute_0_8:[bind(B,$fot(C)),bind(C,$fot(B))]]) ).

cnf(refute_0_10,plain,
    ( bigC(A,B,C) != product(product(A,C),product(B,A))
    | product(product(A,C),product(B,A)) != bigC(A,C,B)
    | bigC(A,B,C) = bigC(A,C,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(A,B,C),bigC(A,C,B)) ),[0],$fot(product(product(A,C),product(B,A)))]]) ).

cnf(refute_0_11,plain,
    ( bigC(A,B,C) != product(product(A,C),product(B,A))
    | bigC(A,B,C) = bigC(A,C,B) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,A)),bigC(A,C,B)) )],[refute_0_9,refute_0_10]) ).

cnf(refute_0_12,plain,
    bigC(A,B,C) = bigC(A,C,B),
    inference(resolve,[$cnf( $equal(bigC(A,B,C),product(product(A,C),product(B,A))) )],[refute_0_3,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( bigC(A,B,C) != bigC(A,C,B)
    | bigC(A,C,B) = bigC(A,B,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(A,B,C))),bind(Y,$fot(bigC(A,C,B)))]]) ).

cnf(refute_0_14,plain,
    bigC(A,C,B) = bigC(A,B,C),
    inference(resolve,[$cnf( $equal(bigC(A,B,C),bigC(A,C,B)) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    bigC(a,x0,b) = bigC(a,b,x0),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(x0))]]) ).

cnf(refute_0_16,plain,
    product(product(X_64,X_64),product(X_65,X_66)) = product(product(X_64,X_65),product(X_64,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(X_64)),bind(B,$fot(X_64)),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_17,plain,
    product(X_64,X_64) = X_64,
    inference(subst,[],[sos06:[bind(A,$fot(X_64))]]) ).

cnf(refute_0_18,plain,
    ( product(X_64,X_64) != X_64
    | product(product(X_64,X_64),product(X_65,X_66)) != product(product(X_64,X_65),product(X_64,X_66))
    | product(X_64,product(X_65,X_66)) = product(product(X_64,X_65),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_64,X_64),product(X_65,X_66)),product(product(X_64,X_65),product(X_64,X_66))) ),[0,0],$fot(X_64)]]) ).

cnf(refute_0_19,plain,
    ( product(product(X_64,X_64),product(X_65,X_66)) != product(product(X_64,X_65),product(X_64,X_66))
    | product(X_64,product(X_65,X_66)) = product(product(X_64,X_65),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(X_64,X_64),X_64) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    product(X_64,product(X_65,X_66)) = product(product(X_64,X_65),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(product(X_64,X_64),product(X_65,X_66)),product(product(X_64,X_65),product(X_64,X_66))) )],[refute_0_16,refute_0_19]) ).

cnf(refute_0_21,plain,
    product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(product(c,X_65),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(c)),bind(X_66,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22,plain,
    product(product(product(product(a,quotient(b,bigC(b,b,c))),c),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = c,
    inference(subst,[],[sos07:[bind(A,$fot(product(a,quotient(b,bigC(b,b,c))))),bind(B,$fot(c))]]) ).

cnf(refute_0_23,plain,
    bigC(difference(X_23,B),X_22,X_23) = product(product(difference(X_23,B),X_22),product(X_23,difference(X_23,B))),
    inference(subst,[],[sos08:[bind(A,$fot(difference(X_23,B))),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_24,plain,
    product(X_23,difference(X_23,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_23))]]) ).

cnf(refute_0_25,plain,
    ( bigC(difference(X_23,B),X_22,X_23) != product(product(difference(X_23,B),X_22),product(X_23,difference(X_23,B)))
    | product(X_23,difference(X_23,B)) != B
    | bigC(difference(X_23,B),X_22,X_23) = product(product(difference(X_23,B),X_22),B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_23,B),X_22,X_23),product(product(difference(X_23,B),X_22),product(X_23,difference(X_23,B)))) ),[1,1],$fot(B)]]) ).

cnf(refute_0_26,plain,
    ( bigC(difference(X_23,B),X_22,X_23) != product(product(difference(X_23,B),X_22),product(X_23,difference(X_23,B)))
    | bigC(difference(X_23,B),X_22,X_23) = product(product(difference(X_23,B),X_22),B) ),
    inference(resolve,[$cnf( $equal(product(X_23,difference(X_23,B)),B) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    bigC(difference(X_23,B),X_22,X_23) = product(product(difference(X_23,B),X_22),B),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,B),X_22,X_23),product(product(difference(X_23,B),X_22),product(X_23,difference(X_23,B)))) )],[refute_0_23,refute_0_26]) ).

cnf(refute_0_28,plain,
    bigC(difference(b,c),product(c,product(c,b)),b) = product(product(difference(b,c),product(c,product(c,b))),c),
    inference(subst,[],[refute_0_27:[bind(B,$fot(c)),bind(X_22,$fot(product(c,product(c,b)))),bind(X_23,$fot(b))]]) ).

cnf(refute_0_29,plain,
    product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))))) = product(product(X_15,X_16),X_16),
    inference(subst,[],[sos07:[bind(A,$fot(product(X_16,product(X_16,X_15)))),bind(B,$fot(product(product(X_15,X_16),X_16)))]]) ).

cnf(refute_0_30,plain,
    product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))) = X_16,
    inference(subst,[],[sos07:[bind(A,$fot(X_15)),bind(B,$fot(X_16))]]) ).

cnf(refute_0_31,plain,
    ( product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))) != X_16
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))))) != product(product(X_15,X_16),X_16)
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(X_15,X_16),X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))))),product(product(X_15,X_16),X_16)) ),[0,1,1],$fot(X_16)]]) ).

cnf(refute_0_32,plain,
    ( product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))))) != product(product(X_15,X_16),X_16)
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(X_15,X_16),X_16) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),X_16) )],[refute_0_30,refute_0_31]) ).

cnf(refute_0_33,plain,
    product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(X_15,X_16),X_16),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))))),product(product(X_15,X_16),X_16)) )],[refute_0_29,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( product(product(A,B),product(C,D)) != product(product(A,C),product(B,D))
    | product(product(A,C),product(B,D)) = product(product(A,B),product(C,D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,B),product(C,D)))),bind(Y,$fot(product(product(A,C),product(B,D))))]]) ).

cnf(refute_0_35,plain,
    product(product(A,C),product(B,D)) = product(product(A,B),product(C,D)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,D)),product(product(A,C),product(B,D))) )],[sos05,refute_0_34]) ).

cnf(refute_0_36,plain,
    product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(X_16,product(X_16,X_15),X_15))),bind(B,$fot(product(product(X_15,X_16),X_16))),bind(C,$fot(product(product(product(X_15,X_16),X_16),X_16))),bind(D,$fot(X_16))]]) ).

cnf(refute_0_37,plain,
    product(product(X_16,product(X_16,X_15)),product(X_15,X_16)) = bigC(X_16,product(X_16,X_15),X_15),
    inference(subst,[],[refute_0_8:[bind(A,$fot(X_16)),bind(B,$fot(product(X_16,X_15))),bind(C,$fot(X_15))]]) ).

cnf(refute_0_38,plain,
    product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)),
    introduced(tautology,[refl,[$fot(product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)))]]) ).

cnf(refute_0_39,plain,
    ( product(product(X_16,product(X_16,X_15)),product(X_15,X_16)) != bigC(X_16,product(X_16,X_15),X_15)
    | product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16))) ),[1,0],$fot(bigC(X_16,product(X_16,X_15),X_15))]]) ).

cnf(refute_0_40,plain,
    ( product(product(X_16,product(X_16,X_15)),product(X_15,X_16)) != bigC(X_16,product(X_16,X_15),X_15)
    | product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16))) )],[refute_0_38,refute_0_39]) ).

cnf(refute_0_41,plain,
    product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),
    inference(resolve,[$cnf( $equal(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),bigC(X_16,product(X_16,X_15),X_15)) )],[refute_0_37,refute_0_40]) ).

cnf(refute_0_42,plain,
    product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) = product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(X_16,product(X_16,X_15)))),bind(B,$fot(product(X_15,X_16))),bind(C,$fot(product(product(X_15,X_16),X_16))),bind(D,$fot(X_16))]]) ).

cnf(refute_0_43,plain,
    ( Y != X
    | Y != Z
    | X = Z ),
    introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).

cnf(refute_0_44,plain,
    ( X != Y
    | Y != Z
    | X = Z ),
    inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_43]) ).

cnf(refute_0_45,plain,
    ( product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) != product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)))),bind(Y,$fot(product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)))),bind(Z,$fot(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))))]]) ).

cnf(refute_0_46,plain,
    ( product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16))) )],[refute_0_42,refute_0_45]) ).

cnf(refute_0_47,plain,
    product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),
    inference(resolve,[$cnf( $equal(product(product(product(X_16,product(X_16,X_15)),product(X_15,X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))) )],[refute_0_41,refute_0_46]) ).

cnf(refute_0_48,plain,
    product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),
    introduced(tautology,[refl,[$fot(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)))]]) ).

cnf(refute_0_49,plain,
    ( product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) != product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16))) ),[1,0],$fot(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)))]]) ).

cnf(refute_0_50,plain,
    ( product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)) != product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16))) )],[refute_0_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),
    inference(resolve,[$cnf( $equal(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16))) )],[refute_0_47,refute_0_50]) ).

cnf(refute_0_52,plain,
    ( product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16))
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)))),bind(Y,$fot(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)))),bind(Z,$fot(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))))]]) ).

cnf(refute_0_53,plain,
    ( product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16))) )],[refute_0_51,refute_0_52]) ).

cnf(refute_0_54,plain,
    product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),
    inference(resolve,[$cnf( $equal(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(product(X_15,X_16),X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))) )],[refute_0_36,refute_0_53]) ).

cnf(refute_0_55,plain,
    ( product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(X_15,X_16),X_16)
    | product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))
    | product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(X_15,X_16),X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(X_15,X_16),X_16)) ),[0],$fot(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)))]]) ).

cnf(refute_0_56,plain,
    ( product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)) != product(product(X_15,X_16),X_16)
    | product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(X_15,X_16),X_16) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))) )],[refute_0_54,refute_0_55]) ).

cnf(refute_0_57,plain,
    product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(X_15,X_16),X_16),
    inference(resolve,[$cnf( $equal(product(product(product(product(X_16,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(X_15,X_16),X_16)),product(product(product(X_15,X_16),X_16),X_16)),product(product(X_15,X_16),X_16)) )],[refute_0_33,refute_0_56]) ).

cnf(refute_0_58,plain,
    bigC(X_16,product(X_16,X_15),X_15) = bigC(X_16,X_15,product(X_16,X_15)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_16)),bind(B,$fot(X_15)),bind(C,$fot(product(X_16,X_15)))]]) ).

cnf(refute_0_59,plain,
    product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) = product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),
    introduced(tautology,[refl,[$fot(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)))]]) ).

cnf(refute_0_60,plain,
    ( bigC(X_16,product(X_16,X_15),X_15) != bigC(X_16,X_15,product(X_16,X_15))
    | product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) != product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16))
    | product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) = product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16))) ),[1,0],$fot(bigC(X_16,X_15,product(X_16,X_15)))]]) ).

cnf(refute_0_61,plain,
    ( bigC(X_16,product(X_16,X_15),X_15) != bigC(X_16,X_15,product(X_16,X_15))
    | product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) = product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)) ),
    inference(resolve,[$cnf( $equal(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16))) )],[refute_0_59,refute_0_60]) ).

cnf(refute_0_62,plain,
    product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) = product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),
    inference(resolve,[$cnf( $equal(bigC(X_16,product(X_16,X_15),X_15),bigC(X_16,X_15,product(X_16,X_15))) )],[refute_0_58,refute_0_61]) ).

cnf(refute_0_63,plain,
    product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),
    introduced(tautology,[refl,[$fot(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)))]]) ).

cnf(refute_0_64,plain,
    ( product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) != product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16))
    | product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) != product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))
    | product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))) ),[1,0],$fot(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)))]]) ).

cnf(refute_0_65,plain,
    ( product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)) != product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16))
    | product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))) )],[refute_0_63,refute_0_64]) ).

cnf(refute_0_66,plain,
    product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),
    inference(resolve,[$cnf( $equal(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16))) )],[refute_0_62,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) != product(product(X_15,X_16),X_16)
    | product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) != product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))
    | product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(X_15,X_16),X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),product(product(X_15,X_16),X_16)) ),[0],$fot(product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)))]]) ).

cnf(refute_0_68,plain,
    ( product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) != product(product(X_15,X_16),X_16)
    | product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(X_15,X_16),X_16) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16))) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    product(product(bigC(X_16,X_15,product(X_16,X_15)),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)) = product(product(X_15,X_16),X_16),
    inference(resolve,[$cnf( $equal(product(product(bigC(X_16,product(X_16,X_15),X_15),product(product(X_15,X_16),X_16)),product(product(product(product(X_15,X_16),X_16),X_16),X_16)),product(product(X_15,X_16),X_16)) )],[refute_0_57,refute_0_68]) ).

cnf(refute_0_70,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(difference(b,c),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_69:[bind(X_15,$fot(difference(b,c))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_71,plain,
    product(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),product(a,product(quotient(b,a),b))) = product(difference(b,c),product(a,b)),
    inference(subst,[],[sos04:[bind(A,$fot(product(difference(b,c),product(a,b)))),bind(B,$fot(product(a,product(quotient(b,a),b))))]]) ).

cnf(refute_0_72,plain,
    quotient(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)) = product(X_21,X_22),
    inference(subst,[],[sos03:[bind(A,$fot(product(X_21,X_22))),bind(B,$fot(product(X_23,X_21)))]]) ).

cnf(refute_0_73,plain,
    bigC(X_21,X_22,X_23) = product(product(X_21,X_22),product(X_23,X_21)),
    inference(subst,[],[sos08:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_74,plain,
    ( bigC(X_21,X_22,X_23) != product(product(X_21,X_22),product(X_23,X_21))
    | product(product(X_21,X_22),product(X_23,X_21)) = bigC(X_21,X_22,X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_21,X_22,X_23))),bind(Y,$fot(product(product(X_21,X_22),product(X_23,X_21))))]]) ).

cnf(refute_0_75,plain,
    product(product(X_21,X_22),product(X_23,X_21)) = bigC(X_21,X_22,X_23),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,X_23),product(product(X_21,X_22),product(X_23,X_21))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    ( product(product(X_21,X_22),product(X_23,X_21)) != bigC(X_21,X_22,X_23)
    | quotient(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)) != product(X_21,X_22)
    | quotient(bigC(X_21,X_22,X_23),product(X_23,X_21)) = product(X_21,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)),product(X_21,X_22)) ),[0,0],$fot(bigC(X_21,X_22,X_23))]]) ).

cnf(refute_0_77,plain,
    ( quotient(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)) != product(X_21,X_22)
    | quotient(bigC(X_21,X_22,X_23),product(X_23,X_21)) = product(X_21,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(X_21,X_22),product(X_23,X_21)),bigC(X_21,X_22,X_23)) )],[refute_0_75,refute_0_76]) ).

cnf(refute_0_78,plain,
    quotient(bigC(X_21,X_22,X_23),product(X_23,X_21)) = product(X_21,X_22),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)),product(X_21,X_22)) )],[refute_0_72,refute_0_77]) ).

cnf(refute_0_79,plain,
    quotient(bigC(product(a,b),product(a,c),X_78),product(X_78,product(a,b))) = product(product(a,b),product(a,c)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(a,b))),bind(X_22,$fot(product(a,c))),bind(X_23,$fot(X_78))]]) ).

cnf(refute_0_80,plain,
    bigC(X_21,difference(X_21,B),X_23) = product(product(X_21,difference(X_21,B)),product(X_23,X_21)),
    inference(subst,[],[sos08:[bind(A,$fot(X_21)),bind(B,$fot(difference(X_21,B))),bind(C,$fot(X_23))]]) ).

cnf(refute_0_81,plain,
    product(X_21,difference(X_21,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_21))]]) ).

cnf(refute_0_82,plain,
    ( bigC(X_21,difference(X_21,B),X_23) != product(product(X_21,difference(X_21,B)),product(X_23,X_21))
    | product(X_21,difference(X_21,B)) != B
    | bigC(X_21,difference(X_21,B),X_23) = product(B,product(X_23,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,difference(X_21,B),X_23),product(product(X_21,difference(X_21,B)),product(X_23,X_21))) ),[1,0],$fot(B)]]) ).

cnf(refute_0_83,plain,
    ( bigC(X_21,difference(X_21,B),X_23) != product(product(X_21,difference(X_21,B)),product(X_23,X_21))
    | bigC(X_21,difference(X_21,B),X_23) = product(B,product(X_23,X_21)) ),
    inference(resolve,[$cnf( $equal(product(X_21,difference(X_21,B)),B) )],[refute_0_81,refute_0_82]) ).

cnf(refute_0_84,plain,
    bigC(X_21,difference(X_21,B),X_23) = product(B,product(X_23,X_21)),
    inference(resolve,[$cnf( $equal(bigC(X_21,difference(X_21,B),X_23),product(product(X_21,difference(X_21,B)),product(X_23,X_21))) )],[refute_0_80,refute_0_83]) ).

cnf(refute_0_85,plain,
    bigC(product(a,b),difference(product(a,b),product(a,product(b,c))),X_45) = product(product(a,product(b,c)),product(X_45,product(a,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(a,product(b,c)))),bind(X_21,$fot(product(a,b))),bind(X_23,$fot(X_45))]]) ).

cnf(refute_0_86,plain,
    difference(product(X_21,X_22),product(product(X_21,X_22),product(X_23,X_21))) = product(X_23,X_21),
    inference(subst,[],[sos01:[bind(A,$fot(product(X_21,X_22))),bind(B,$fot(product(X_23,X_21)))]]) ).

cnf(refute_0_87,plain,
    ( difference(product(X_21,X_22),product(product(X_21,X_22),product(X_23,X_21))) != product(X_23,X_21)
    | product(product(X_21,X_22),product(X_23,X_21)) != bigC(X_21,X_22,X_23)
    | difference(product(X_21,X_22),bigC(X_21,X_22,X_23)) = product(X_23,X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_21,X_22),product(product(X_21,X_22),product(X_23,X_21))),product(X_23,X_21)) ),[0,1],$fot(bigC(X_21,X_22,X_23))]]) ).

cnf(refute_0_88,plain,
    ( difference(product(X_21,X_22),product(product(X_21,X_22),product(X_23,X_21))) != product(X_23,X_21)
    | difference(product(X_21,X_22),bigC(X_21,X_22,X_23)) = product(X_23,X_21) ),
    inference(resolve,[$cnf( $equal(product(product(X_21,X_22),product(X_23,X_21)),bigC(X_21,X_22,X_23)) )],[refute_0_75,refute_0_87]) ).

cnf(refute_0_89,plain,
    difference(product(X_21,X_22),bigC(X_21,X_22,X_23)) = product(X_23,X_21),
    inference(resolve,[$cnf( $equal(difference(product(X_21,X_22),product(product(X_21,X_22),product(X_23,X_21))),product(X_23,X_21)) )],[refute_0_86,refute_0_88]) ).

cnf(refute_0_90,plain,
    difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(c,b),product(a,c))) = product(product(a,c),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(product(c,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_91,plain,
    bigC(product(a,c),product(c,b),X_23) = product(product(product(a,c),product(c,b)),product(X_23,product(a,c))),
    inference(subst,[],[sos08:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b))),bind(C,$fot(X_23))]]) ).

cnf(refute_0_92,plain,
    ( bigC(product(a,c),product(c,b),X_23) != product(product(product(a,c),product(c,b)),product(X_23,product(a,c)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(a,c),product(c,b),X_23) = product(product(a,b),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),X_23),product(product(product(a,c),product(c,b)),product(X_23,product(a,c)))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_93,plain,
    ( bigC(product(a,c),product(c,b),X_23) != product(product(product(a,c),product(c,b)),product(X_23,product(a,c)))
    | bigC(product(a,c),product(c,b),X_23) = product(product(a,b),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_92]) ).

cnf(refute_0_94,plain,
    bigC(product(a,c),product(c,b),X_23) = product(product(a,b),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_23),product(product(product(a,c),product(c,b)),product(X_23,product(a,c)))) )],[refute_0_91,refute_0_93]) ).

cnf(refute_0_95,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = product(product(a,b),product(product(a,c),product(a,c))),
    inference(subst,[],[refute_0_94:[bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_96,plain,
    product(product(a,c),product(a,c)) = product(a,c),
    inference(subst,[],[sos06:[bind(A,$fot(product(a,c)))]]) ).

cnf(refute_0_97,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(product(a,c),product(a,c)))
    | product(product(a,c),product(a,c)) != product(a,c)
    | bigC(product(a,c),product(c,b),product(a,c)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(product(a,b),product(product(a,c),product(a,c)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_98,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(product(a,c),product(a,c)))
    | bigC(product(a,c),product(c,b),product(a,c)) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,c)),product(a,c)) )],[refute_0_96,refute_0_97]) ).

cnf(refute_0_99,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(product(a,b),product(product(a,c),product(a,c)))) )],[refute_0_95,refute_0_98]) ).

cnf(refute_0_100,plain,
    product(a,a) = a,
    inference(subst,[],[sos06:[bind(A,$fot(a))]]) ).

cnf(refute_0_101,plain,
    product(product(a,a),product(b,c)) = product(product(a,a),product(b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(b,c)))]]) ).

cnf(refute_0_102,plain,
    ( product(a,a) != a
    | product(product(a,a),product(b,c)) != product(product(a,a),product(b,c))
    | product(product(a,a),product(b,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(b,c)),product(product(a,a),product(b,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_103,plain,
    ( product(a,a) != a
    | product(product(a,a),product(b,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,c)),product(product(a,a),product(b,c))) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    product(product(a,a),product(b,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_103]) ).

cnf(refute_0_105,plain,
    product(product(a,b),product(a,c)) = product(product(a,a),product(b,c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_106,plain,
    ( product(product(a,a),product(b,c)) != product(a,product(b,c))
    | product(product(a,b),product(a,c)) != product(product(a,a),product(b,c))
    | product(product(a,b),product(a,c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(a,c)))),bind(Y,$fot(product(product(a,a),product(b,c)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_107,plain,
    ( product(product(a,a),product(b,c)) != product(a,product(b,c))
    | product(product(a,b),product(a,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(product(a,a),product(b,c))) )],[refute_0_105,refute_0_106]) ).

cnf(refute_0_108,plain,
    product(product(a,b),product(a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,c)),product(a,product(b,c))) )],[refute_0_104,refute_0_107]) ).

cnf(refute_0_109,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,c),product(c,b),product(a,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),product(a,c)),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_110,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(a,c))
    | bigC(product(a,c),product(c,b),product(a,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_109]) ).

cnf(refute_0_111,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(product(a,b),product(a,c))) )],[refute_0_99,refute_0_110]) ).

cnf(refute_0_112,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(a,product(b,c))
    | difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(c,b),product(a,c))) != product(product(a,c),product(a,c))
    | difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = product(product(a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(c,b),product(a,c))),product(product(a,c),product(a,c))) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_113,plain,
    ( difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(c,b),product(a,c))) != product(product(a,c),product(a,c))
    | difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = product(product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(a,product(b,c))) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = product(product(a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(c,b)),bigC(product(a,c),product(c,b),product(a,c))),product(product(a,c),product(a,c))) )],[refute_0_90,refute_0_113]) ).

cnf(refute_0_115,plain,
    difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = difference(product(product(a,c),product(c,b)),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),product(c,b)),product(a,product(b,c))))]]) ).

cnf(refute_0_116,plain,
    ( difference(product(product(a,c),product(c,b)),product(a,product(b,c))) != difference(product(product(a,c),product(c,b)),product(a,product(b,c)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = difference(product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(c,b)),product(a,product(b,c))),difference(product(product(a,c),product(c,b)),product(a,product(b,c)))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_117,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = difference(product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(c,b)),product(a,product(b,c))),difference(product(product(a,c),product(c,b)),product(a,product(b,c)))) )],[refute_0_115,refute_0_116]) ).

cnf(refute_0_118,plain,
    difference(product(product(a,c),product(c,b)),product(a,product(b,c))) = difference(product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( difference(product(product(a,c),product(c,b)),product(a,product(b,c))) != difference(product(a,b),product(a,product(b,c)))
    | difference(product(product(a,c),product(c,b)),product(a,product(b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,b),product(a,product(b,c))) = product(product(a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(c,b)),product(a,product(b,c))),product(product(a,c),product(a,c))) ),[0],$fot(difference(product(a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_120,plain,
    ( difference(product(product(a,c),product(c,b)),product(a,product(b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,b),product(a,product(b,c))) = product(product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(c,b)),product(a,product(b,c))),difference(product(a,b),product(a,product(b,c)))) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    ( difference(product(a,b),product(a,product(b,c))) != product(product(a,c),product(a,c))
    | product(product(a,c),product(a,c)) != product(a,c)
    | difference(product(a,b),product(a,product(b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),product(a,product(b,c))),product(a,c)) ),[0],$fot(product(product(a,c),product(a,c)))]]) ).

cnf(refute_0_122,plain,
    ( difference(product(a,b),product(a,product(b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,b),product(a,product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,c)),product(a,c)) )],[refute_0_96,refute_0_121]) ).

cnf(refute_0_123,plain,
    ( difference(product(product(a,c),product(c,b)),product(a,product(b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,b),product(a,product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,product(b,c))),product(product(a,c),product(a,c))) )],[refute_0_120,refute_0_122]) ).

cnf(refute_0_124,plain,
    difference(product(a,b),product(a,product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(c,b)),product(a,product(b,c))),product(product(a,c),product(a,c))) )],[refute_0_114,refute_0_123]) ).

cnf(refute_0_125,plain,
    ( bigC(product(a,b),difference(product(a,b),product(a,product(b,c))),X_45) != product(product(a,product(b,c)),product(X_45,product(a,b)))
    | difference(product(a,b),product(a,product(b,c))) != product(a,c)
    | bigC(product(a,b),product(a,c),X_45) = product(product(a,product(b,c)),product(X_45,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),product(a,product(b,c))),X_45),product(product(a,product(b,c)),product(X_45,product(a,b)))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_126,plain,
    ( bigC(product(a,b),difference(product(a,b),product(a,product(b,c))),X_45) != product(product(a,product(b,c)),product(X_45,product(a,b)))
    | bigC(product(a,b),product(a,c),X_45) = product(product(a,product(b,c)),product(X_45,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,product(b,c))),product(a,c)) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    bigC(product(a,b),product(a,c),X_45) = product(product(a,product(b,c)),product(X_45,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),product(a,product(b,c))),X_45),product(product(a,product(b,c)),product(X_45,product(a,b)))) )],[refute_0_85,refute_0_126]) ).

cnf(refute_0_128,plain,
    product(product(a,product(b,c)),product(X_45,product(a,b))) = product(product(a,X_45),product(product(b,c),product(a,b))),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(B,$fot(product(b,c))),bind(C,$fot(X_45)),bind(D,$fot(product(a,b)))]]) ).

cnf(refute_0_129,plain,
    ( bigC(product(a,b),product(a,c),X_45) != product(product(a,product(b,c)),product(X_45,product(a,b)))
    | product(product(a,product(b,c)),product(X_45,product(a,b))) != product(product(a,X_45),product(product(b,c),product(a,b)))
    | bigC(product(a,b),product(a,c),X_45) = product(product(a,X_45),product(product(b,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(a,c),X_45),product(product(a,X_45),product(product(b,c),product(a,b)))) ),[0],$fot(product(product(a,product(b,c)),product(X_45,product(a,b))))]]) ).

cnf(refute_0_130,plain,
    ( bigC(product(a,b),product(a,c),X_45) != product(product(a,product(b,c)),product(X_45,product(a,b)))
    | bigC(product(a,b),product(a,c),X_45) = product(product(a,X_45),product(product(b,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(X_45,product(a,b))),product(product(a,X_45),product(product(b,c),product(a,b)))) )],[refute_0_128,refute_0_129]) ).

cnf(refute_0_131,plain,
    bigC(product(a,b),product(a,c),X_45) = product(product(a,X_45),product(product(b,c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),X_45),product(product(a,product(b,c)),product(X_45,product(a,b)))) )],[refute_0_127,refute_0_130]) ).

cnf(refute_0_132,plain,
    product(product(b,a),product(c,b)) = bigC(b,a,c),
    inference(subst,[],[refute_0_8:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_133,plain,
    product(product(a,X_45),product(product(b,a),product(c,b))) = product(product(a,X_45),product(product(b,a),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(a,X_45),product(product(b,a),product(c,b))))]]) ).

cnf(refute_0_134,plain,
    ( product(product(a,X_45),product(product(b,a),product(c,b))) != product(product(a,X_45),product(product(b,a),product(c,b)))
    | product(product(b,a),product(c,b)) != bigC(b,a,c)
    | product(product(a,X_45),product(product(b,a),product(c,b))) = product(product(a,X_45),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_45),product(product(b,a),product(c,b))),product(product(a,X_45),product(product(b,a),product(c,b)))) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_135,plain,
    ( product(product(b,a),product(c,b)) != bigC(b,a,c)
    | product(product(a,X_45),product(product(b,a),product(c,b))) = product(product(a,X_45),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_45),product(product(b,a),product(c,b))),product(product(a,X_45),product(product(b,a),product(c,b)))) )],[refute_0_133,refute_0_134]) ).

cnf(refute_0_136,plain,
    product(product(a,X_45),product(product(b,a),product(c,b))) = product(product(a,X_45),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),bigC(b,a,c)) )],[refute_0_132,refute_0_135]) ).

cnf(refute_0_137,plain,
    bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) = product(B,product(product(X_63,X_64),product(X_65,X_66))),
    inference(subst,[],[refute_0_84:[bind(X_21,$fot(product(X_65,X_66))),bind(X_23,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_138,plain,
    product(product(X_63,X_64),product(X_65,X_66)) = product(product(X_63,X_65),product(X_64,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_139,plain,
    ( bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) != product(B,product(product(X_63,X_64),product(X_65,X_66)))
    | product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) = product(B,product(product(X_63,X_65),product(X_64,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)),product(B,product(product(X_63,X_64),product(X_65,X_66)))) ),[1,1],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_140,plain,
    ( bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) != product(B,product(product(X_63,X_64),product(X_65,X_66)))
    | bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) = product(B,product(product(X_63,X_65),product(X_64,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) = product(B,product(product(X_63,X_65),product(X_64,X_66))),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)),product(B,product(product(X_63,X_64),product(X_65,X_66)))) )],[refute_0_137,refute_0_140]) ).

cnf(refute_0_142,plain,
    ( bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) != product(B,product(product(X_63,X_64),product(X_65,X_66)))
    | bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) != product(B,product(product(X_63,X_65),product(X_64,X_66)))
    | product(B,product(product(X_63,X_64),product(X_65,X_66))) = product(B,product(product(X_63,X_65),product(X_64,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)),product(B,product(product(X_63,X_65),product(X_64,X_66)))) ),[0],$fot(product(B,product(product(X_63,X_64),product(X_65,X_66))))]]) ).

cnf(refute_0_143,plain,
    ( bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)) != product(B,product(product(X_63,X_65),product(X_64,X_66)))
    | product(B,product(product(X_63,X_64),product(X_65,X_66))) = product(B,product(product(X_63,X_65),product(X_64,X_66))) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)),product(B,product(product(X_63,X_64),product(X_65,X_66)))) )],[refute_0_137,refute_0_142]) ).

cnf(refute_0_144,plain,
    product(B,product(product(X_63,X_64),product(X_65,X_66))) = product(B,product(product(X_63,X_65),product(X_64,X_66))),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),difference(product(X_65,X_66),B),product(X_63,X_64)),product(B,product(product(X_63,X_65),product(X_64,X_66)))) )],[refute_0_141,refute_0_143]) ).

cnf(refute_0_145,plain,
    ( product(B,product(product(X_63,X_64),product(X_65,X_66))) != product(B,product(product(X_63,X_65),product(X_64,X_66)))
    | product(B,product(product(X_63,X_65),product(X_64,X_66))) = product(B,product(product(X_63,X_64),product(X_65,X_66))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(B,product(product(X_63,X_64),product(X_65,X_66))))),bind(Y,$fot(product(B,product(product(X_63,X_65),product(X_64,X_66)))))]]) ).

cnf(refute_0_146,plain,
    product(B,product(product(X_63,X_65),product(X_64,X_66))) = product(B,product(product(X_63,X_64),product(X_65,X_66))),
    inference(resolve,[$cnf( $equal(product(B,product(product(X_63,X_64),product(X_65,X_66))),product(B,product(product(X_63,X_65),product(X_64,X_66)))) )],[refute_0_144,refute_0_145]) ).

cnf(refute_0_147,plain,
    product(product(a,X_45),product(product(b,c),product(a,b))) = product(product(a,X_45),product(product(b,a),product(c,b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(a,X_45))),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_148,plain,
    ( product(product(a,X_45),product(product(b,a),product(c,b))) != product(product(a,X_45),bigC(b,a,c))
    | product(product(a,X_45),product(product(b,c),product(a,b))) != product(product(a,X_45),product(product(b,a),product(c,b)))
    | product(product(a,X_45),product(product(b,c),product(a,b))) = product(product(a,X_45),bigC(b,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,X_45),product(product(b,c),product(a,b))))),bind(Y,$fot(product(product(a,X_45),product(product(b,a),product(c,b))))),bind(Z,$fot(product(product(a,X_45),bigC(b,a,c))))]]) ).

cnf(refute_0_149,plain,
    ( product(product(a,X_45),product(product(b,a),product(c,b))) != product(product(a,X_45),bigC(b,a,c))
    | product(product(a,X_45),product(product(b,c),product(a,b))) = product(product(a,X_45),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_45),product(product(b,c),product(a,b))),product(product(a,X_45),product(product(b,a),product(c,b)))) )],[refute_0_147,refute_0_148]) ).

cnf(refute_0_150,plain,
    product(product(a,X_45),product(product(b,c),product(a,b))) = product(product(a,X_45),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,X_45),product(product(b,a),product(c,b))),product(product(a,X_45),bigC(b,a,c))) )],[refute_0_136,refute_0_149]) ).

cnf(refute_0_151,plain,
    ( bigC(product(a,b),product(a,c),X_45) != product(product(a,X_45),product(product(b,c),product(a,b)))
    | product(product(a,X_45),product(product(b,c),product(a,b))) != product(product(a,X_45),bigC(b,a,c))
    | bigC(product(a,b),product(a,c),X_45) = product(product(a,X_45),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(a,c),X_45),product(product(a,X_45),bigC(b,a,c))) ),[0],$fot(product(product(a,X_45),product(product(b,c),product(a,b))))]]) ).

cnf(refute_0_152,plain,
    ( bigC(product(a,b),product(a,c),X_45) != product(product(a,X_45),product(product(b,c),product(a,b)))
    | bigC(product(a,b),product(a,c),X_45) = product(product(a,X_45),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_45),product(product(b,c),product(a,b))),product(product(a,X_45),bigC(b,a,c))) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    bigC(product(a,b),product(a,c),X_45) = product(product(a,X_45),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),X_45),product(product(a,X_45),product(product(b,c),product(a,b)))) )],[refute_0_131,refute_0_152]) ).

cnf(refute_0_154,plain,
    bigC(product(a,b),product(a,c),X_78) = product(product(a,X_78),bigC(b,a,c)),
    inference(subst,[],[refute_0_153:[bind(X_45,$fot(X_78))]]) ).

cnf(refute_0_155,plain,
    ( bigC(product(a,b),product(a,c),X_78) != product(product(a,X_78),bigC(b,a,c))
    | quotient(bigC(product(a,b),product(a,c),X_78),product(X_78,product(a,b))) != product(product(a,b),product(a,c))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,b),product(a,c),X_78),product(X_78,product(a,b))),product(product(a,b),product(a,c))) ),[0,0],$fot(product(product(a,X_78),bigC(b,a,c)))]]) ).

cnf(refute_0_156,plain,
    ( quotient(bigC(product(a,b),product(a,c),X_78),product(X_78,product(a,b))) != product(product(a,b),product(a,c))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),X_78),product(product(a,X_78),bigC(b,a,c))) )],[refute_0_154,refute_0_155]) ).

cnf(refute_0_157,plain,
    quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,b),product(a,c),X_78),product(X_78,product(a,b))),product(product(a,b),product(a,c))) )],[refute_0_79,refute_0_156]) ).

cnf(refute_0_158,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) != product(product(a,b),product(a,c))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),product(product(a,b),product(a,c))) ),[1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_159,plain,
    ( quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) != product(product(a,b),product(a,c))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_158]) ).

cnf(refute_0_160,plain,
    quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),product(product(a,b),product(a,c))) )],[refute_0_157,refute_0_159]) ).

cnf(refute_0_161,plain,
    quotient(product(bigC(b,a,c),product(b,c)),product(b,c)) = bigC(b,a,c),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(b,a,c))),bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_162,plain,
    bigC(X_22,X_22,X_23) = product(product(X_22,X_22),product(X_23,X_22)),
    inference(subst,[],[sos08:[bind(A,$fot(X_22)),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_163,plain,
    product(X_22,X_22) = X_22,
    inference(subst,[],[sos06:[bind(A,$fot(X_22))]]) ).

cnf(refute_0_164,plain,
    ( bigC(X_22,X_22,X_23) != product(product(X_22,X_22),product(X_23,X_22))
    | product(X_22,X_22) != X_22
    | bigC(X_22,X_22,X_23) = product(X_22,product(X_23,X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_22,X_22,X_23),product(product(X_22,X_22),product(X_23,X_22))) ),[1,0],$fot(X_22)]]) ).

cnf(refute_0_165,plain,
    ( bigC(X_22,X_22,X_23) != product(product(X_22,X_22),product(X_23,X_22))
    | bigC(X_22,X_22,X_23) = product(X_22,product(X_23,X_22)) ),
    inference(resolve,[$cnf( $equal(product(X_22,X_22),X_22) )],[refute_0_163,refute_0_164]) ).

cnf(refute_0_166,plain,
    bigC(X_22,X_22,X_23) = product(X_22,product(X_23,X_22)),
    inference(resolve,[$cnf( $equal(bigC(X_22,X_22,X_23),product(product(X_22,X_22),product(X_23,X_22))) )],[refute_0_162,refute_0_165]) ).

cnf(refute_0_167,plain,
    bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(b,bigC(c,a,b)))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_168,plain,
    product(product(product(product(a,c),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(c,b),
    inference(subst,[],[sos07:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_169,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(product(product(a,c),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) != product(c,b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(c,b)) ),[0,0,0],$fot(product(a,b))]]) ).

cnf(refute_0_170,plain,
    ( product(product(product(product(a,c),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) != product(c,b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_169]) ).

cnf(refute_0_171,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(c,b)) )],[refute_0_168,refute_0_170]) ).

cnf(refute_0_172,plain,
    product(product(c,b),product(a,c)) = bigC(c,b,a),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_173,plain,
    product(product(c,b),product(product(c,b),product(a,c))) = product(product(c,b),product(product(c,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,b),product(a,c))))]]) ).

cnf(refute_0_174,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,b,a)
    | product(product(c,b),product(product(c,b),product(a,c))) != product(product(c,b),product(product(c,b),product(a,c)))
    | product(product(c,b),product(product(c,b),product(a,c))) = product(product(c,b),bigC(c,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,b),product(a,c))),product(product(c,b),product(product(c,b),product(a,c)))) ),[1,1],$fot(bigC(c,b,a))]]) ).

cnf(refute_0_175,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,b,a)
    | product(product(c,b),product(product(c,b),product(a,c))) = product(product(c,b),bigC(c,b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(a,c))),product(product(c,b),product(product(c,b),product(a,c)))) )],[refute_0_173,refute_0_174]) ).

cnf(refute_0_176,plain,
    product(product(c,b),product(product(c,b),product(a,c))) = product(product(c,b),bigC(c,b,a)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,b,a)) )],[refute_0_172,refute_0_175]) ).

cnf(refute_0_177,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))))]]) ).

cnf(refute_0_178,plain,
    ( product(product(c,b),product(product(c,b),product(a,c))) != product(product(c,b),bigC(c,b,a))
    | product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c))))
    | product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c))))) ),[1,1],$fot(product(product(c,b),bigC(c,b,a)))]]) ).

cnf(refute_0_179,plain,
    ( product(product(c,b),product(product(c,b),product(a,c))) != product(product(c,b),bigC(c,b,a))
    | product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c))))) )],[refute_0_177,refute_0_178]) ).

cnf(refute_0_180,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(a,c))),product(product(c,b),bigC(c,b,a))) )],[refute_0_176,refute_0_179]) ).

cnf(refute_0_181,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) != product(c,b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(c,b)) ),[0],$fot(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))]]) ).

cnf(refute_0_182,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))) != product(c,b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),product(product(c,b),product(a,c)))),product(c,b)) )],[refute_0_171,refute_0_182]) ).

cnf(refute_0_184,plain,
    product(product(product(a,c),product(c,b)),product(X_65,X_66)) = product(product(product(a,c),X_65),product(product(c,b),X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b))),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_185,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(product(a,c),product(c,b)),product(X_65,X_66)) != product(product(product(a,c),X_65),product(product(c,b),X_66))
    | product(product(a,b),product(X_65,X_66)) = product(product(product(a,c),X_65),product(product(c,b),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(X_65,X_66)),product(product(product(a,c),X_65),product(product(c,b),X_66))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_186,plain,
    ( product(product(product(a,c),product(c,b)),product(X_65,X_66)) != product(product(product(a,c),X_65),product(product(c,b),X_66))
    | product(product(a,b),product(X_65,X_66)) = product(product(product(a,c),X_65),product(product(c,b),X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_185]) ).

cnf(refute_0_187,plain,
    product(product(a,b),product(X_65,X_66)) = product(product(product(a,c),X_65),product(product(c,b),X_66)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(X_65,X_66)),product(product(product(a,c),X_65),product(product(c,b),X_66))) )],[refute_0_184,refute_0_186]) ).

cnf(refute_0_188,plain,
    ( product(product(a,b),product(X_65,X_66)) != product(product(product(a,c),X_65),product(product(c,b),X_66))
    | product(product(product(a,c),X_65),product(product(c,b),X_66)) = product(product(a,b),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,b),product(X_65,X_66)))),bind(Y,$fot(product(product(product(a,c),X_65),product(product(c,b),X_66))))]]) ).

cnf(refute_0_189,plain,
    product(product(product(a,c),X_65),product(product(c,b),X_66)) = product(product(a,b),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_65,X_66)),product(product(product(a,c),X_65),product(product(c,b),X_66))) )],[refute_0_187,refute_0_188]) ).

cnf(refute_0_190,plain,
    product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) = product(product(a,b),product(b,bigC(c,a,b))),
    inference(subst,[],[refute_0_189:[bind(X_65,$fot(b)),bind(X_66,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_191,plain,
    bigC(c,b,a) = bigC(c,a,b),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_192,plain,
    product(product(c,b),bigC(c,b,a)) = product(product(c,b),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(c,b,a)))]]) ).

cnf(refute_0_193,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,b,a))
    | product(product(c,b),bigC(c,b,a)) = product(product(c,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(c,b,a)),product(product(c,b),bigC(c,b,a))) ),[1,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_194,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(c,b),bigC(c,b,a)) = product(product(c,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,a)),product(product(c,b),bigC(c,b,a))) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    product(product(c,b),bigC(c,b,a)) = product(product(c,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_194]) ).

cnf(refute_0_196,plain,
    product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))))]]) ).

cnf(refute_0_197,plain,
    ( product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) != product(product(product(a,c),b),product(product(c,b),bigC(c,b,a)))
    | product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))),product(product(product(a,c),b),product(product(c,b),bigC(c,b,a)))) ),[1,1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_198,plain,
    ( product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))),product(product(product(a,c),b),product(product(c,b),bigC(c,b,a)))) )],[refute_0_196,refute_0_197]) ).

cnf(refute_0_199,plain,
    product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,a)),product(product(c,b),bigC(c,a,b))) )],[refute_0_195,refute_0_198]) ).

cnf(refute_0_200,plain,
    product(product(X_63,X_64),product(X_66,X_66)) = product(product(X_63,X_66),product(X_64,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(X_66)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_201,plain,
    product(X_66,X_66) = X_66,
    inference(subst,[],[sos06:[bind(A,$fot(X_66))]]) ).

cnf(refute_0_202,plain,
    ( product(X_66,X_66) != X_66
    | product(product(X_63,X_64),product(X_66,X_66)) != product(product(X_63,X_66),product(X_64,X_66))
    | product(product(X_63,X_64),X_66) = product(product(X_63,X_66),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(X_66,X_66)),product(product(X_63,X_66),product(X_64,X_66))) ),[0,1],$fot(X_66)]]) ).

cnf(refute_0_203,plain,
    ( product(product(X_63,X_64),product(X_66,X_66)) != product(product(X_63,X_66),product(X_64,X_66))
    | product(product(X_63,X_64),X_66) = product(product(X_63,X_66),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(X_66,X_66),X_66) )],[refute_0_201,refute_0_202]) ).

cnf(refute_0_204,plain,
    product(product(X_63,X_64),X_66) = product(product(X_63,X_66),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_66,X_66)),product(product(X_63,X_66),product(X_64,X_66))) )],[refute_0_200,refute_0_203]) ).

cnf(refute_0_205,plain,
    ( product(product(X_63,X_64),X_66) != product(product(X_63,X_66),product(X_64,X_66))
    | product(product(X_63,X_66),product(X_64,X_66)) = product(product(X_63,X_64),X_66) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),X_66))),bind(Y,$fot(product(product(X_63,X_66),product(X_64,X_66))))]]) ).

cnf(refute_0_206,plain,
    product(product(X_63,X_66),product(X_64,X_66)) = product(product(X_63,X_64),X_66),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),X_66),product(product(X_63,X_66),product(X_64,X_66))) )],[refute_0_204,refute_0_205]) ).

cnf(refute_0_207,plain,
    product(product(a,b),product(c,b)) = product(product(a,c),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_208,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))]]) ).

cnf(refute_0_209,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_210,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_210]) ).

cnf(refute_0_212,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(product(product(a,c),b),product(product(c,b),bigC(c,b,a)))
    | product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) != product(product(product(a,c),b),product(product(c,b),bigC(c,a,b)))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))),bind(Y,$fot(product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))))),bind(Z,$fot(product(product(product(a,c),b),product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_213,plain,
    ( product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))) != product(product(product(a,c),b),product(product(c,b),bigC(c,a,b)))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(product(product(a,c),b),product(product(c,b),bigC(c,b,a)))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(c,b),bigC(c,b,a))),product(product(product(a,c),b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_199,refute_0_213]) ).

cnf(refute_0_215,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(product(product(a,c),b),product(product(c,b),bigC(c,a,b)))
    | product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(a,b),product(b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))),bind(Y,$fot(product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(product(product(a,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_216,plain,
    ( product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(a,b),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(product(product(a,c),b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) = product(product(a,b),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(c,b),bigC(c,a,b))),product(product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_190,refute_0_216]) ).

cnf(refute_0_218,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(c,b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(a,b),product(b,bigC(c,a,b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(c,b)) ),[0],$fot(product(product(a,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_219,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(c,b)
    | product(product(a,b),product(b,bigC(c,a,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    product(product(a,b),product(b,bigC(c,a,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(c,b)) )],[refute_0_183,refute_0_219]) ).

cnf(refute_0_221,plain,
    ( bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(product(b,bigC(c,a,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)),product(product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_222,plain,
    ( bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))
    | bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(product(b,bigC(c,a,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_221]) ).

cnf(refute_0_223,plain,
    bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(product(b,bigC(c,a,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)),product(product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) )],[refute_0_167,refute_0_222]) ).

cnf(refute_0_224,plain,
    bigC(b,bigC(c,a,b),a) = bigC(b,a,bigC(c,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_225,plain,
    product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) = product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_226,plain,
    ( bigC(b,bigC(c,a,b),a) != bigC(b,a,bigC(c,a,b))
    | product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) != product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b)))
    | product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))),product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b)))) ),[1,0],$fot(bigC(b,a,bigC(c,a,b)))]]) ).

cnf(refute_0_227,plain,
    ( bigC(b,bigC(c,a,b),a) != bigC(b,a,bigC(c,a,b))
    | product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))),product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b)))) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(c,a,b),a),bigC(b,a,bigC(c,a,b))) )],[refute_0_224,refute_0_227]) ).

cnf(refute_0_229,plain,
    bigC(X_21,X_22,X_21) = product(product(X_21,X_22),product(X_21,X_21)),
    inference(subst,[],[sos08:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(X_21))]]) ).

cnf(refute_0_230,plain,
    product(X_21,X_21) = X_21,
    inference(subst,[],[sos06:[bind(A,$fot(X_21))]]) ).

cnf(refute_0_231,plain,
    ( bigC(X_21,X_22,X_21) != product(product(X_21,X_22),product(X_21,X_21))
    | product(X_21,X_21) != X_21
    | bigC(X_21,X_22,X_21) = product(product(X_21,X_22),X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,X_22,X_21),product(product(X_21,X_22),product(X_21,X_21))) ),[1,1],$fot(X_21)]]) ).

cnf(refute_0_232,plain,
    ( bigC(X_21,X_22,X_21) != product(product(X_21,X_22),product(X_21,X_21))
    | bigC(X_21,X_22,X_21) = product(product(X_21,X_22),X_21) ),
    inference(resolve,[$cnf( $equal(product(X_21,X_21),X_21) )],[refute_0_230,refute_0_231]) ).

cnf(refute_0_233,plain,
    bigC(X_21,X_22,X_21) = product(product(X_21,X_22),X_21),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,X_21),product(product(X_21,X_22),product(X_21,X_21))) )],[refute_0_229,refute_0_232]) ).

cnf(refute_0_234,plain,
    bigC(product(A,B),product(C,A),product(A,B)) = product(product(product(A,B),product(C,A)),product(A,B)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(A,B))),bind(X_22,$fot(product(C,A)))]]) ).

cnf(refute_0_235,plain,
    ( bigC(product(A,B),product(C,A),product(A,B)) != product(product(product(A,B),product(C,A)),product(A,B))
    | product(product(A,B),product(C,A)) != bigC(A,B,C)
    | bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,B,C),product(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(A,B),product(C,A),product(A,B)),product(product(product(A,B),product(C,A)),product(A,B))) ),[1,0],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_236,plain,
    ( bigC(product(A,B),product(C,A),product(A,B)) != product(product(product(A,B),product(C,A)),product(A,B))
    | bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,B,C),product(A,B)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_8,refute_0_235]) ).

cnf(refute_0_237,plain,
    bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,B,C),product(A,B)),
    inference(resolve,[$cnf( $equal(bigC(product(A,B),product(C,A),product(A,B)),product(product(product(A,B),product(C,A)),product(A,B))) )],[refute_0_234,refute_0_236]) ).

cnf(refute_0_238,plain,
    bigC(product(A,C),product(B,D),product(A,C)) = product(product(product(A,C),product(B,D)),product(A,C)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(A,C))),bind(X_22,$fot(product(B,D)))]]) ).

cnf(refute_0_239,plain,
    ( bigC(product(A,C),product(B,D),product(A,C)) != product(product(product(A,C),product(B,D)),product(A,C))
    | product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | bigC(product(A,C),product(B,D),product(A,C)) = product(product(product(A,B),product(C,D)),product(A,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(A,C),product(B,D),product(A,C)),product(product(product(A,C),product(B,D)),product(A,C))) ),[1,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_240,plain,
    ( bigC(product(A,C),product(B,D),product(A,C)) != product(product(product(A,C),product(B,D)),product(A,C))
    | bigC(product(A,C),product(B,D),product(A,C)) = product(product(product(A,B),product(C,D)),product(A,C)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_35,refute_0_239]) ).

cnf(refute_0_241,plain,
    bigC(product(A,C),product(B,D),product(A,C)) = product(product(product(A,B),product(C,D)),product(A,C)),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(B,D),product(A,C)),product(product(product(A,C),product(B,D)),product(A,C))) )],[refute_0_238,refute_0_240]) ).

cnf(refute_0_242,plain,
    product(product(product(B,D),B),product(C,D)) = product(product(product(B,D),C),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(B,D)))]]) ).

cnf(refute_0_243,plain,
    bigC(product(B,D),C,product(B,D)) = product(product(product(B,D),C),product(B,D)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(B,D))),bind(X_22,$fot(C))]]) ).

cnf(refute_0_244,plain,
    ( bigC(product(B,D),C,product(B,D)) != product(product(product(B,D),C),product(B,D))
    | product(product(product(B,D),C),product(B,D)) = bigC(product(B,D),C,product(B,D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(B,D),C,product(B,D)))),bind(Y,$fot(product(product(product(B,D),C),product(B,D))))]]) ).

cnf(refute_0_245,plain,
    product(product(product(B,D),C),product(B,D)) = bigC(product(B,D),C,product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),C,product(B,D)),product(product(product(B,D),C),product(B,D))) )],[refute_0_243,refute_0_244]) ).

cnf(refute_0_246,plain,
    ( product(product(product(B,D),B),product(C,D)) != product(product(product(B,D),C),product(B,D))
    | product(product(product(B,D),C),product(B,D)) != bigC(product(B,D),C,product(B,D))
    | product(product(product(B,D),B),product(C,D)) = bigC(product(B,D),C,product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(B,D),B),product(C,D)),bigC(product(B,D),C,product(B,D))) ),[0],$fot(product(product(product(B,D),C),product(B,D)))]]) ).

cnf(refute_0_247,plain,
    ( product(product(product(B,D),B),product(C,D)) != product(product(product(B,D),C),product(B,D))
    | product(product(product(B,D),B),product(C,D)) = bigC(product(B,D),C,product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(B,D),C),product(B,D)),bigC(product(B,D),C,product(B,D))) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    product(product(product(B,D),B),product(C,D)) = bigC(product(B,D),C,product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(B,D),B),product(C,D)),product(product(product(B,D),C),product(B,D))) )],[refute_0_242,refute_0_247]) ).

cnf(refute_0_249,plain,
    ( bigC(X_21,X_22,X_21) != product(product(X_21,X_22),X_21)
    | product(product(X_21,X_22),X_21) = bigC(X_21,X_22,X_21) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_21,X_22,X_21))),bind(Y,$fot(product(product(X_21,X_22),X_21)))]]) ).

cnf(refute_0_250,plain,
    product(product(X_21,X_22),X_21) = bigC(X_21,X_22,X_21),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,X_21),product(product(X_21,X_22),X_21)) )],[refute_0_233,refute_0_249]) ).

cnf(refute_0_251,plain,
    product(product(B,D),B) = bigC(B,D,B),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(B)),bind(X_22,$fot(D))]]) ).

cnf(refute_0_252,plain,
    product(product(product(B,D),B),product(C,D)) = product(product(product(B,D),B),product(C,D)),
    introduced(tautology,[refl,[$fot(product(product(product(B,D),B),product(C,D)))]]) ).

cnf(refute_0_253,plain,
    ( product(product(B,D),B) != bigC(B,D,B)
    | product(product(product(B,D),B),product(C,D)) != product(product(product(B,D),B),product(C,D))
    | product(product(product(B,D),B),product(C,D)) = product(bigC(B,D,B),product(C,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(B,D),B),product(C,D)),product(product(product(B,D),B),product(C,D))) ),[1,0],$fot(bigC(B,D,B))]]) ).

cnf(refute_0_254,plain,
    ( product(product(B,D),B) != bigC(B,D,B)
    | product(product(product(B,D),B),product(C,D)) = product(bigC(B,D,B),product(C,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(B,D),B),product(C,D)),product(product(product(B,D),B),product(C,D))) )],[refute_0_252,refute_0_253]) ).

cnf(refute_0_255,plain,
    product(product(product(B,D),B),product(C,D)) = product(bigC(B,D,B),product(C,D)),
    inference(resolve,[$cnf( $equal(product(product(B,D),B),bigC(B,D,B)) )],[refute_0_251,refute_0_254]) ).

cnf(refute_0_256,plain,
    ( product(product(product(B,D),B),product(C,D)) != bigC(product(B,D),C,product(B,D))
    | product(product(product(B,D),B),product(C,D)) != product(bigC(B,D,B),product(C,D))
    | product(bigC(B,D,B),product(C,D)) = bigC(product(B,D),C,product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(B,D),B),product(C,D)),bigC(product(B,D),C,product(B,D))) ),[0],$fot(product(bigC(B,D,B),product(C,D)))]]) ).

cnf(refute_0_257,plain,
    ( product(product(product(B,D),B),product(C,D)) != bigC(product(B,D),C,product(B,D))
    | product(bigC(B,D,B),product(C,D)) = bigC(product(B,D),C,product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(B,D),B),product(C,D)),product(bigC(B,D,B),product(C,D))) )],[refute_0_255,refute_0_256]) ).

cnf(refute_0_258,plain,
    product(bigC(B,D,B),product(C,D)) = bigC(product(B,D),C,product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(B,D),B),product(C,D)),bigC(product(B,D),C,product(B,D))) )],[refute_0_248,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( product(bigC(B,D,B),product(C,D)) != bigC(product(B,D),C,product(B,D))
    | bigC(product(B,D),C,product(B,D)) = product(bigC(B,D,B),product(C,D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(B,D,B),product(C,D)))),bind(Y,$fot(bigC(product(B,D),C,product(B,D))))]]) ).

cnf(refute_0_260,plain,
    bigC(product(B,D),C,product(B,D)) = product(bigC(B,D,B),product(C,D)),
    inference(resolve,[$cnf( $equal(product(bigC(B,D,B),product(C,D)),bigC(product(B,D),C,product(B,D))) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    bigC(product(A,C),product(B,D),product(A,C)) = product(bigC(A,C,A),product(product(B,D),C)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(A)),bind(C,$fot(product(B,D))),bind(D,$fot(C))]]) ).

cnf(refute_0_262,plain,
    ( bigC(product(A,C),product(B,D),product(A,C)) != product(bigC(A,C,A),product(product(B,D),C))
    | bigC(product(A,C),product(B,D),product(A,C)) != product(product(product(A,B),product(C,D)),product(A,C))
    | product(bigC(A,C,A),product(product(B,D),C)) = product(product(product(A,B),product(C,D)),product(A,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(A,C),product(B,D),product(A,C)),product(product(product(A,B),product(C,D)),product(A,C))) ),[0],$fot(product(bigC(A,C,A),product(product(B,D),C)))]]) ).

cnf(refute_0_263,plain,
    ( bigC(product(A,C),product(B,D),product(A,C)) != product(product(product(A,B),product(C,D)),product(A,C))
    | product(bigC(A,C,A),product(product(B,D),C)) = product(product(product(A,B),product(C,D)),product(A,C)) ),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(B,D),product(A,C)),product(bigC(A,C,A),product(product(B,D),C))) )],[refute_0_261,refute_0_262]) ).

cnf(refute_0_264,plain,
    product(product(A,B),A) = bigC(A,B,A),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(A)),bind(X_22,$fot(B))]]) ).

cnf(refute_0_265,plain,
    product(product(product(A,B),A),bigC(C,D,C)) = product(product(product(A,B),A),bigC(C,D,C)),
    introduced(tautology,[refl,[$fot(product(product(product(A,B),A),bigC(C,D,C)))]]) ).

cnf(refute_0_266,plain,
    ( product(product(A,B),A) != bigC(A,B,A)
    | product(product(product(A,B),A),bigC(C,D,C)) != product(product(product(A,B),A),bigC(C,D,C))
    | product(product(product(A,B),A),bigC(C,D,C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,B),A),bigC(C,D,C)),product(product(product(A,B),A),bigC(C,D,C))) ),[1,0],$fot(bigC(A,B,A))]]) ).

cnf(refute_0_267,plain,
    ( product(product(A,B),A) != bigC(A,B,A)
    | product(product(product(A,B),A),bigC(C,D,C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),A),bigC(C,D,C)),product(product(product(A,B),A),bigC(C,D,C))) )],[refute_0_265,refute_0_266]) ).

cnf(refute_0_268,plain,
    product(product(product(A,B),A),bigC(C,D,C)) = product(bigC(A,B,A),bigC(C,D,C)),
    inference(resolve,[$cnf( $equal(product(product(A,B),A),bigC(A,B,A)) )],[refute_0_264,refute_0_267]) ).

cnf(refute_0_269,plain,
    product(product(A,product(D,X_82)),product(C,D)) = product(product(A,C),product(product(D,X_82),D)),
    inference(subst,[],[sos05:[bind(B,$fot(product(D,X_82)))]]) ).

cnf(refute_0_270,plain,
    bigC(D,X_82,D) = product(product(D,X_82),D),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(D)),bind(X_22,$fot(X_82))]]) ).

cnf(refute_0_271,plain,
    ( bigC(D,X_82,D) != product(product(D,X_82),D)
    | product(product(D,X_82),D) = bigC(D,X_82,D) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(D,X_82,D))),bind(Y,$fot(product(product(D,X_82),D)))]]) ).

cnf(refute_0_272,plain,
    product(product(D,X_82),D) = bigC(D,X_82,D),
    inference(resolve,[$cnf( $equal(bigC(D,X_82,D),product(product(D,X_82),D)) )],[refute_0_270,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( product(product(A,product(D,X_82)),product(C,D)) != product(product(A,C),product(product(D,X_82),D))
    | product(product(D,X_82),D) != bigC(D,X_82,D)
    | product(product(A,product(D,X_82)),product(C,D)) = product(product(A,C),bigC(D,X_82,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(D,X_82)),product(C,D)),product(product(A,C),product(product(D,X_82),D))) ),[1,1],$fot(bigC(D,X_82,D))]]) ).

cnf(refute_0_274,plain,
    ( product(product(A,product(D,X_82)),product(C,D)) != product(product(A,C),product(product(D,X_82),D))
    | product(product(A,product(D,X_82)),product(C,D)) = product(product(A,C),bigC(D,X_82,D)) ),
    inference(resolve,[$cnf( $equal(product(product(D,X_82),D),bigC(D,X_82,D)) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    product(product(A,product(D,X_82)),product(C,D)) = product(product(A,C),bigC(D,X_82,D)),
    inference(resolve,[$cnf( $equal(product(product(A,product(D,X_82)),product(C,D)),product(product(A,C),product(product(D,X_82),D))) )],[refute_0_269,refute_0_274]) ).

cnf(refute_0_276,plain,
    product(product(product(A,B),product(C,D)),product(A,C)) = product(product(product(A,B),A),bigC(C,D,C)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(product(A,B))),bind(C,$fot(A)),bind(D,$fot(C)),bind(X_82,$fot(D))]]) ).

cnf(refute_0_277,plain,
    ( product(product(product(A,B),A),bigC(C,D,C)) != product(bigC(A,B,A),bigC(C,D,C))
    | product(product(product(A,B),product(C,D)),product(A,C)) != product(product(product(A,B),A),bigC(C,D,C))
    | product(product(product(A,B),product(C,D)),product(A,C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(A,B),product(C,D)),product(A,C)))),bind(Y,$fot(product(product(product(A,B),A),bigC(C,D,C)))),bind(Z,$fot(product(bigC(A,B,A),bigC(C,D,C))))]]) ).

cnf(refute_0_278,plain,
    ( product(product(product(A,B),A),bigC(C,D,C)) != product(bigC(A,B,A),bigC(C,D,C))
    | product(product(product(A,B),product(C,D)),product(A,C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,D)),product(A,C)),product(product(product(A,B),A),bigC(C,D,C))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    product(product(product(A,B),product(C,D)),product(A,C)) = product(bigC(A,B,A),bigC(C,D,C)),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),A),bigC(C,D,C)),product(bigC(A,B,A),bigC(C,D,C))) )],[refute_0_268,refute_0_278]) ).

cnf(refute_0_280,plain,
    ( product(bigC(A,C,A),product(product(B,D),C)) != product(product(product(A,B),product(C,D)),product(A,C))
    | product(product(product(A,B),product(C,D)),product(A,C)) != product(bigC(A,B,A),bigC(C,D,C))
    | product(bigC(A,C,A),product(product(B,D),C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(A,C,A),product(product(B,D),C)),product(bigC(A,B,A),bigC(C,D,C))) ),[0],$fot(product(product(product(A,B),product(C,D)),product(A,C)))]]) ).

cnf(refute_0_281,plain,
    ( product(bigC(A,C,A),product(product(B,D),C)) != product(product(product(A,B),product(C,D)),product(A,C))
    | product(bigC(A,C,A),product(product(B,D),C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,D)),product(A,C)),product(bigC(A,B,A),bigC(C,D,C))) )],[refute_0_279,refute_0_280]) ).

cnf(refute_0_282,plain,
    ( bigC(product(A,C),product(B,D),product(A,C)) != product(product(product(A,B),product(C,D)),product(A,C))
    | product(bigC(A,C,A),product(product(B,D),C)) = product(bigC(A,B,A),bigC(C,D,C)) ),
    inference(resolve,[$cnf( $equal(product(bigC(A,C,A),product(product(B,D),C)),product(product(product(A,B),product(C,D)),product(A,C))) )],[refute_0_263,refute_0_281]) ).

cnf(refute_0_283,plain,
    product(bigC(A,C,A),product(product(B,D),C)) = product(bigC(A,B,A),bigC(C,D,C)),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(B,D),product(A,C)),product(product(product(A,B),product(C,D)),product(A,C))) )],[refute_0_241,refute_0_282]) ).

cnf(refute_0_284,plain,
    product(bigC(A,B,A),product(product(C,A),B)) = product(bigC(A,C,A),bigC(B,A,B)),
    inference(subst,[],[refute_0_283:[bind(B,$fot(C)),bind(C,$fot(B)),bind(D,$fot(A))]]) ).

cnf(refute_0_285,plain,
    bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,B,A),product(product(C,A),B)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(A)),bind(C,$fot(product(C,A))),bind(D,$fot(B))]]) ).

cnf(refute_0_286,plain,
    ( bigC(product(A,B),product(C,A),product(A,B)) != product(bigC(A,B,A),product(product(C,A),B))
    | product(bigC(A,B,A),product(product(C,A),B)) != product(bigC(A,C,A),bigC(B,A,B))
    | bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,C,A),bigC(B,A,B)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(A,B),product(C,A),product(A,B)))),bind(Y,$fot(product(bigC(A,B,A),product(product(C,A),B)))),bind(Z,$fot(product(bigC(A,C,A),bigC(B,A,B))))]]) ).

cnf(refute_0_287,plain,
    ( product(bigC(A,B,A),product(product(C,A),B)) != product(bigC(A,C,A),bigC(B,A,B))
    | bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,C,A),bigC(B,A,B)) ),
    inference(resolve,[$cnf( $equal(bigC(product(A,B),product(C,A),product(A,B)),product(bigC(A,B,A),product(product(C,A),B))) )],[refute_0_285,refute_0_286]) ).

cnf(refute_0_288,plain,
    bigC(product(A,B),product(C,A),product(A,B)) = product(bigC(A,C,A),bigC(B,A,B)),
    inference(resolve,[$cnf( $equal(product(bigC(A,B,A),product(product(C,A),B)),product(bigC(A,C,A),bigC(B,A,B))) )],[refute_0_284,refute_0_287]) ).

cnf(refute_0_289,plain,
    ( bigC(product(A,B),product(C,A),product(A,B)) != product(bigC(A,B,C),product(A,B))
    | bigC(product(A,B),product(C,A),product(A,B)) != product(bigC(A,C,A),bigC(B,A,B))
    | product(bigC(A,C,A),bigC(B,A,B)) = product(bigC(A,B,C),product(A,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(A,B),product(C,A),product(A,B)),product(bigC(A,B,C),product(A,B))) ),[0],$fot(product(bigC(A,C,A),bigC(B,A,B)))]]) ).

cnf(refute_0_290,plain,
    ( bigC(product(A,B),product(C,A),product(A,B)) != product(bigC(A,B,C),product(A,B))
    | product(bigC(A,C,A),bigC(B,A,B)) = product(bigC(A,B,C),product(A,B)) ),
    inference(resolve,[$cnf( $equal(bigC(product(A,B),product(C,A),product(A,B)),product(bigC(A,C,A),bigC(B,A,B))) )],[refute_0_288,refute_0_289]) ).

cnf(refute_0_291,plain,
    product(bigC(A,C,A),bigC(B,A,B)) = product(bigC(A,B,C),product(A,B)),
    inference(resolve,[$cnf( $equal(bigC(product(A,B),product(C,A),product(A,B)),product(bigC(A,B,C),product(A,B))) )],[refute_0_237,refute_0_290]) ).

cnf(refute_0_292,plain,
    product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) = product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))),
    inference(subst,[],[refute_0_291:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(a))]]) ).

cnf(refute_0_293,plain,
    ( product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) != product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b)))
    | product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))))),bind(Y,$fot(product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))))),bind(Z,$fot(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_294,plain,
    ( product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))),product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b)))) )],[refute_0_292,refute_0_293]) ).

cnf(refute_0_295,plain,
    product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,bigC(c,a,b),a),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))) )],[refute_0_228,refute_0_294]) ).

cnf(refute_0_296,plain,
    bigC(bigC(c,a,b),bigC(c,a,b),b) = bigC(bigC(c,a,b),b,bigC(c,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_297,plain,
    product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)))]]) ).

cnf(refute_0_298,plain,
    ( bigC(bigC(c,a,b),bigC(c,a,b),b) != bigC(bigC(c,a,b),b,bigC(c,a,b))
    | product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b))
    | product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b))) ),[1,1],$fot(bigC(bigC(c,a,b),b,bigC(c,a,b)))]]) ).

cnf(refute_0_299,plain,
    ( bigC(bigC(c,a,b),bigC(c,a,b),b) != bigC(bigC(c,a,b),b,bigC(c,a,b))
    | product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b))) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),bigC(c,a,b),b),bigC(bigC(c,a,b),b,bigC(c,a,b))) )],[refute_0_296,refute_0_299]) ).

cnf(refute_0_301,plain,
    bigC(b,b,a) = bigC(b,a,b),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_302,plain,
    ( bigC(X_22,X_22,X_23) != product(X_22,product(X_23,X_22))
    | product(X_22,product(X_23,X_22)) = bigC(X_22,X_22,X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_22,X_22,X_23))),bind(Y,$fot(product(X_22,product(X_23,X_22))))]]) ).

cnf(refute_0_303,plain,
    product(X_22,product(X_23,X_22)) = bigC(X_22,X_22,X_23),
    inference(resolve,[$cnf( $equal(bigC(X_22,X_22,X_23),product(X_22,product(X_23,X_22))) )],[refute_0_166,refute_0_302]) ).

cnf(refute_0_304,plain,
    product(b,product(a,b)) = bigC(b,b,a),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(b)),bind(X_23,$fot(a))]]) ).

cnf(refute_0_305,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(b,product(a,b)) != bigC(b,b,a)
    | product(b,product(a,b)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(b,product(a,b)))),bind(Y,$fot(bigC(b,b,a))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_306,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(b,product(a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(b,b,a)) )],[refute_0_304,refute_0_305]) ).

cnf(refute_0_307,plain,
    product(b,product(a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_301,refute_0_306]) ).

cnf(refute_0_308,plain,
    product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)))]]) ).

cnf(refute_0_309,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_310,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b))) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(b,a,b)) )],[refute_0_307,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b)))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)))),bind(Y,$fot(product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)))),bind(Z,$fot(product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b)))))]]) ).

cnf(refute_0_313,plain,
    ( product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b)))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b))) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,plain,
    product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b)))) )],[refute_0_300,refute_0_313]) ).

cnf(refute_0_315,plain,
    ( product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b)))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)))),bind(Y,$fot(product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))))),bind(Z,$fot(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_316,plain,
    ( product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b)))) )],[refute_0_314,refute_0_315]) ).

cnf(refute_0_317,plain,
    product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(bigC(c,a,b),b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))) )],[refute_0_295,refute_0_316]) ).

cnf(refute_0_318,plain,
    product(product(A,B),product(C,product(A,C))) = product(product(A,C),product(B,product(A,C))),
    inference(subst,[],[sos05:[bind(D,$fot(product(A,C)))]]) ).

cnf(refute_0_319,plain,
    bigC(product(A,C),product(A,C),B) = product(product(A,C),product(B,product(A,C))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(A,C))),bind(X_23,$fot(B))]]) ).

cnf(refute_0_320,plain,
    ( bigC(product(A,C),product(A,C),B) != product(product(A,C),product(B,product(A,C)))
    | product(product(A,C),product(B,product(A,C))) = bigC(product(A,C),product(A,C),B) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(A,C),product(A,C),B))),bind(Y,$fot(product(product(A,C),product(B,product(A,C)))))]]) ).

cnf(refute_0_321,plain,
    product(product(A,C),product(B,product(A,C))) = bigC(product(A,C),product(A,C),B),
    inference(resolve,[$cnf( $equal(bigC(product(A,C),product(A,C),B),product(product(A,C),product(B,product(A,C)))) )],[refute_0_319,refute_0_320]) ).

cnf(refute_0_322,plain,
    ( product(product(A,B),product(C,product(A,C))) != product(product(A,C),product(B,product(A,C)))
    | product(product(A,C),product(B,product(A,C))) != bigC(product(A,C),product(A,C),B)
    | product(product(A,B),product(C,product(A,C))) = bigC(product(A,C),product(A,C),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(A,B),product(C,product(A,C))),bigC(product(A,C),product(A,C),B)) ),[0],$fot(product(product(A,C),product(B,product(A,C))))]]) ).

cnf(refute_0_323,plain,
    ( product(product(A,B),product(C,product(A,C))) != product(product(A,C),product(B,product(A,C)))
    | product(product(A,B),product(C,product(A,C))) = bigC(product(A,C),product(A,C),B) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,product(A,C))),bigC(product(A,C),product(A,C),B)) )],[refute_0_321,refute_0_322]) ).

cnf(refute_0_324,plain,
    product(product(A,B),product(C,product(A,C))) = bigC(product(A,C),product(A,C),B),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,product(A,C))),product(product(A,C),product(B,product(A,C)))) )],[refute_0_318,refute_0_323]) ).

cnf(refute_0_325,plain,
    product(C,product(A,C)) = bigC(C,C,A),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(C)),bind(X_23,$fot(A))]]) ).

cnf(refute_0_326,plain,
    product(product(A,B),product(C,product(A,C))) = product(product(A,B),product(C,product(A,C))),
    introduced(tautology,[refl,[$fot(product(product(A,B),product(C,product(A,C))))]]) ).

cnf(refute_0_327,plain,
    ( product(C,product(A,C)) != bigC(C,C,A)
    | product(product(A,B),product(C,product(A,C))) != product(product(A,B),product(C,product(A,C)))
    | product(product(A,B),product(C,product(A,C))) = product(product(A,B),bigC(C,C,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(C,product(A,C))),product(product(A,B),product(C,product(A,C)))) ),[1,1],$fot(bigC(C,C,A))]]) ).

cnf(refute_0_328,plain,
    ( product(C,product(A,C)) != bigC(C,C,A)
    | product(product(A,B),product(C,product(A,C))) = product(product(A,B),bigC(C,C,A)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,product(A,C))),product(product(A,B),product(C,product(A,C)))) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    product(product(A,B),product(C,product(A,C))) = product(product(A,B),bigC(C,C,A)),
    inference(resolve,[$cnf( $equal(product(C,product(A,C)),bigC(C,C,A)) )],[refute_0_325,refute_0_328]) ).

cnf(refute_0_330,plain,
    ( product(product(A,B),product(C,product(A,C))) != bigC(product(A,C),product(A,C),B)
    | product(product(A,B),product(C,product(A,C))) != product(product(A,B),bigC(C,C,A))
    | product(product(A,B),bigC(C,C,A)) = bigC(product(A,C),product(A,C),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(C,product(A,C))),bigC(product(A,C),product(A,C),B)) ),[0],$fot(product(product(A,B),bigC(C,C,A)))]]) ).

cnf(refute_0_331,plain,
    ( product(product(A,B),product(C,product(A,C))) != bigC(product(A,C),product(A,C),B)
    | product(product(A,B),bigC(C,C,A)) = bigC(product(A,C),product(A,C),B) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,product(A,C))),product(product(A,B),bigC(C,C,A))) )],[refute_0_329,refute_0_330]) ).

cnf(refute_0_332,plain,
    product(product(A,B),bigC(C,C,A)) = bigC(product(A,C),product(A,C),B),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,product(A,C))),bigC(product(A,C),product(A,C),B)) )],[refute_0_324,refute_0_331]) ).

cnf(refute_0_333,plain,
    ( product(product(A,B),bigC(C,C,A)) != bigC(product(A,C),product(A,C),B)
    | bigC(product(A,C),product(A,C),B) = product(product(A,B),bigC(C,C,A)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,B),bigC(C,C,A)))),bind(Y,$fot(bigC(product(A,C),product(A,C),B)))]]) ).

cnf(refute_0_334,plain,
    bigC(product(A,C),product(A,C),B) = product(product(A,B),bigC(C,C,A)),
    inference(resolve,[$cnf( $equal(product(product(A,B),bigC(C,C,A)),bigC(product(A,C),product(A,C),B)) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_336,plain,
    ( bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b))
    | product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)))),bind(Y,$fot(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)))),bind(Z,$fot(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_337,plain,
    ( product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)),product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b))) )],[refute_0_335,refute_0_336]) ).

cnf(refute_0_338,plain,
    bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),bigC(bigC(c,a,b),bigC(c,a,b),b)),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))) )],[refute_0_317,refute_0_337]) ).

cnf(refute_0_339,plain,
    ( bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(product(b,bigC(c,a,b)),product(c,b))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)),product(product(b,bigC(c,a,b)),product(c,b))) ),[0],$fot(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_340,plain,
    ( bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(product(b,bigC(c,a,b)),product(c,b))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))) )],[refute_0_338,refute_0_339]) ).

cnf(refute_0_341,plain,
    bigC(b,bigC(c,a,b),c) = bigC(b,c,bigC(c,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_342,plain,
    product(product(b,bigC(c,a,b)),product(c,b)) = bigC(b,bigC(c,a,b),c),
    inference(subst,[],[refute_0_8:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_343,plain,
    ( bigC(b,bigC(c,a,b),c) != bigC(b,c,bigC(c,a,b))
    | product(product(b,bigC(c,a,b)),product(c,b)) != bigC(b,bigC(c,a,b),c)
    | product(product(b,bigC(c,a,b)),product(c,b)) = bigC(b,c,bigC(c,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(c,a,b)),product(c,b)))),bind(Y,$fot(bigC(b,bigC(c,a,b),c))),bind(Z,$fot(bigC(b,c,bigC(c,a,b))))]]) ).

cnf(refute_0_344,plain,
    ( bigC(b,bigC(c,a,b),c) != bigC(b,c,bigC(c,a,b))
    | product(product(b,bigC(c,a,b)),product(c,b)) = bigC(b,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),product(c,b)),bigC(b,bigC(c,a,b),c)) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    product(product(b,bigC(c,a,b)),product(c,b)) = bigC(b,c,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(c,a,b),c),bigC(b,c,bigC(c,a,b))) )],[refute_0_341,refute_0_344]) ).

cnf(refute_0_346,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),product(c,b))
    | product(product(b,bigC(c,a,b)),product(c,b)) != bigC(b,c,bigC(c,a,b))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = bigC(b,c,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),bigC(b,c,bigC(c,a,b))) ),[0],$fot(product(product(b,bigC(c,a,b)),product(c,b)))]]) ).

cnf(refute_0_347,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),product(c,b))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = bigC(b,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),product(c,b)),bigC(b,c,bigC(c,a,b))) )],[refute_0_345,refute_0_346]) ).

cnf(refute_0_348,plain,
    ( bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)) != product(product(b,bigC(c,a,b)),product(c,b))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = bigC(b,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),product(c,b))) )],[refute_0_340,refute_0_347]) ).

cnf(refute_0_349,plain,
    product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = bigC(b,c,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,bigC(c,a,b)),product(b,bigC(c,a,b)),product(a,b)),product(product(b,bigC(c,a,b)),product(c,b))) )],[refute_0_223,refute_0_348]) ).

cnf(refute_0_350,plain,
    difference(product(a,c),product(product(a,c),c)) = c,
    inference(subst,[],[sos01:[bind(A,$fot(product(a,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_351,plain,
    quotient(bigC(product(a,c),c,product(a,b)),product(product(a,b),product(a,c))) = product(product(a,c),c),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(c)),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_352,plain,
    bigC(X_21,X_22,quotient(A,X_21)) = product(product(X_21,X_22),product(quotient(A,X_21),X_21)),
    inference(subst,[],[sos08:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(quotient(A,X_21)))]]) ).

cnf(refute_0_353,plain,
    product(quotient(A,X_21),X_21) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_21))]]) ).

cnf(refute_0_354,plain,
    ( bigC(X_21,X_22,quotient(A,X_21)) != product(product(X_21,X_22),product(quotient(A,X_21),X_21))
    | product(quotient(A,X_21),X_21) != A
    | bigC(X_21,X_22,quotient(A,X_21)) = product(product(X_21,X_22),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,X_22,quotient(A,X_21)),product(product(X_21,X_22),product(quotient(A,X_21),X_21))) ),[1,1],$fot(A)]]) ).

cnf(refute_0_355,plain,
    ( bigC(X_21,X_22,quotient(A,X_21)) != product(product(X_21,X_22),product(quotient(A,X_21),X_21))
    | bigC(X_21,X_22,quotient(A,X_21)) = product(product(X_21,X_22),A) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_21),X_21),A) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    bigC(X_21,X_22,quotient(A,X_21)) = product(product(X_21,X_22),A),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,quotient(A,X_21)),product(product(X_21,X_22),product(quotient(A,X_21),X_21))) )],[refute_0_352,refute_0_355]) ).

cnf(refute_0_357,plain,
    bigC(product(a,c),X_42,quotient(product(a,product(b,c)),product(a,c))) = product(product(product(a,c),X_42),product(a,product(b,c))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(a,product(b,c)))),bind(X_21,$fot(product(a,c))),bind(X_22,$fot(X_42))]]) ).

cnf(refute_0_358,plain,
    quotient(product(X_6,difference(X_6,B)),difference(X_6,B)) = X_6,
    inference(subst,[],[sos03:[bind(A,$fot(X_6)),bind(B,$fot(difference(X_6,B)))]]) ).

cnf(refute_0_359,plain,
    product(X_6,difference(X_6,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_6))]]) ).

cnf(refute_0_360,plain,
    ( product(X_6,difference(X_6,B)) != B
    | quotient(product(X_6,difference(X_6,B)),difference(X_6,B)) != X_6
    | quotient(B,difference(X_6,B)) = X_6 ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_6,difference(X_6,B)),difference(X_6,B)),X_6) ),[0,0],$fot(B)]]) ).

cnf(refute_0_361,plain,
    ( quotient(product(X_6,difference(X_6,B)),difference(X_6,B)) != X_6
    | quotient(B,difference(X_6,B)) = X_6 ),
    inference(resolve,[$cnf( $equal(product(X_6,difference(X_6,B)),B) )],[refute_0_359,refute_0_360]) ).

cnf(refute_0_362,plain,
    quotient(B,difference(X_6,B)) = X_6,
    inference(resolve,[$cnf( $equal(quotient(product(X_6,difference(X_6,B)),difference(X_6,B)),X_6) )],[refute_0_358,refute_0_361]) ).

cnf(refute_0_363,plain,
    quotient(product(a,product(b,c)),difference(product(a,b),product(a,product(b,c)))) = product(a,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,product(b,c)))),bind(X_6,$fot(product(a,b)))]]) ).

cnf(refute_0_364,plain,
    ( difference(product(a,b),product(a,product(b,c))) != product(a,c)
    | quotient(product(a,product(b,c)),difference(product(a,b),product(a,product(b,c)))) != product(a,b)
    | quotient(product(a,product(b,c)),product(a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),difference(product(a,b),product(a,product(b,c)))),product(a,b)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_365,plain,
    ( quotient(product(a,product(b,c)),difference(product(a,b),product(a,product(b,c)))) != product(a,b)
    | quotient(product(a,product(b,c)),product(a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,product(b,c))),product(a,c)) )],[refute_0_124,refute_0_364]) ).

cnf(refute_0_366,plain,
    quotient(product(a,product(b,c)),product(a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),difference(product(a,b),product(a,product(b,c)))),product(a,b)) )],[refute_0_363,refute_0_365]) ).

cnf(refute_0_367,plain,
    ( bigC(product(a,c),X_42,quotient(product(a,product(b,c)),product(a,c))) != product(product(product(a,c),X_42),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,c)) != product(a,b)
    | bigC(product(a,c),X_42,product(a,b)) = product(product(product(a,c),X_42),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),X_42,quotient(product(a,product(b,c)),product(a,c))),product(product(product(a,c),X_42),product(a,product(b,c)))) ),[0,2],$fot(product(a,b))]]) ).

cnf(refute_0_368,plain,
    ( bigC(product(a,c),X_42,quotient(product(a,product(b,c)),product(a,c))) != product(product(product(a,c),X_42),product(a,product(b,c)))
    | bigC(product(a,c),X_42,product(a,b)) = product(product(product(a,c),X_42),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,c)),product(a,b)) )],[refute_0_366,refute_0_367]) ).

cnf(refute_0_369,plain,
    bigC(product(a,c),X_42,product(a,b)) = product(product(product(a,c),X_42),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_42,quotient(product(a,product(b,c)),product(a,c))),product(product(product(a,c),X_42),product(a,product(b,c)))) )],[refute_0_357,refute_0_368]) ).

cnf(refute_0_370,plain,
    product(product(product(a,c),a),product(X_42,product(b,c))) = product(product(product(a,c),X_42),product(a,product(b,c))),
    inference(subst,[],[sos05:[bind(A,$fot(product(a,c))),bind(B,$fot(a)),bind(C,$fot(X_42)),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_371,plain,
    ( product(product(product(a,c),a),product(X_42,product(b,c))) != product(product(product(a,c),X_42),product(a,product(b,c)))
    | product(product(product(a,c),X_42),product(a,product(b,c))) = product(product(product(a,c),a),product(X_42,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(product(a,c),a),product(X_42,product(b,c))))),bind(Y,$fot(product(product(product(a,c),X_42),product(a,product(b,c)))))]]) ).

cnf(refute_0_372,plain,
    product(product(product(a,c),X_42),product(a,product(b,c))) = product(product(product(a,c),a),product(X_42,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(X_42,product(b,c))),product(product(product(a,c),X_42),product(a,product(b,c)))) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(product(a,c),X_42),product(a,product(b,c)))
    | product(product(product(a,c),X_42),product(a,product(b,c))) != product(product(product(a,c),a),product(X_42,product(b,c)))
    | bigC(product(a,c),X_42,product(a,b)) = product(product(product(a,c),a),product(X_42,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),X_42,product(a,b)),product(product(product(a,c),a),product(X_42,product(b,c)))) ),[0],$fot(product(product(product(a,c),X_42),product(a,product(b,c))))]]) ).

cnf(refute_0_374,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(product(a,c),X_42),product(a,product(b,c)))
    | bigC(product(a,c),X_42,product(a,b)) = product(product(product(a,c),a),product(X_42,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_42),product(a,product(b,c))),product(product(product(a,c),a),product(X_42,product(b,c)))) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    bigC(product(a,c),X_42,product(a,b)) = product(product(product(a,c),a),product(X_42,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_42,product(a,b)),product(product(product(a,c),X_42),product(a,product(b,c)))) )],[refute_0_369,refute_0_374]) ).

cnf(refute_0_376,plain,
    bigC(a,c,a) = bigC(a,a,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_377,plain,
    product(product(a,c),a) = bigC(a,c,a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a)),bind(X_22,$fot(c))]]) ).

cnf(refute_0_378,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(product(a,c),a) != bigC(a,c,a)
    | product(product(a,c),a) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),a))),bind(Y,$fot(bigC(a,c,a))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_379,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(product(a,c),a) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,c,a)) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    product(product(a,c),a) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_379]) ).

cnf(refute_0_381,plain,
    product(product(product(a,c),a),product(X_42,product(b,c))) = product(product(product(a,c),a),product(X_42,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),a),product(X_42,product(b,c))))]]) ).

cnf(refute_0_382,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),product(X_42,product(b,c))) != product(product(product(a,c),a),product(X_42,product(b,c)))
    | product(product(product(a,c),a),product(X_42,product(b,c))) = product(bigC(a,a,c),product(X_42,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),a),product(X_42,product(b,c))),product(product(product(a,c),a),product(X_42,product(b,c)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_383,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),product(X_42,product(b,c))) = product(bigC(a,a,c),product(X_42,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(X_42,product(b,c))),product(product(product(a,c),a),product(X_42,product(b,c)))) )],[refute_0_381,refute_0_382]) ).

cnf(refute_0_384,plain,
    product(product(product(a,c),a),product(X_42,product(b,c))) = product(bigC(a,a,c),product(X_42,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_380,refute_0_383]) ).

cnf(refute_0_385,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(product(a,c),a),product(X_42,product(b,c)))
    | product(product(product(a,c),a),product(X_42,product(b,c))) != product(bigC(a,a,c),product(X_42,product(b,c)))
    | bigC(product(a,c),X_42,product(a,b)) = product(bigC(a,a,c),product(X_42,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),X_42,product(a,b)),product(bigC(a,a,c),product(X_42,product(b,c)))) ),[0],$fot(product(product(product(a,c),a),product(X_42,product(b,c))))]]) ).

cnf(refute_0_386,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(product(a,c),a),product(X_42,product(b,c)))
    | bigC(product(a,c),X_42,product(a,b)) = product(bigC(a,a,c),product(X_42,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(X_42,product(b,c))),product(bigC(a,a,c),product(X_42,product(b,c)))) )],[refute_0_384,refute_0_385]) ).

cnf(refute_0_387,plain,
    bigC(product(a,c),X_42,product(a,b)) = product(bigC(a,a,c),product(X_42,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_42,product(a,b)),product(product(product(a,c),a),product(X_42,product(b,c)))) )],[refute_0_375,refute_0_386]) ).

cnf(refute_0_388,plain,
    bigC(product(a,c),c,product(a,b)) = product(bigC(a,a,c),product(c,product(b,c))),
    inference(subst,[],[refute_0_387:[bind(X_42,$fot(c))]]) ).

cnf(refute_0_389,plain,
    bigC(c,c,b) = product(c,product(b,c)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(c)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_390,plain,
    ( bigC(c,c,b) != product(c,product(b,c))
    | product(c,product(b,c)) = bigC(c,c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,c,b))),bind(Y,$fot(product(c,product(b,c))))]]) ).

cnf(refute_0_391,plain,
    product(c,product(b,c)) = bigC(c,c,b),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),product(c,product(b,c))) )],[refute_0_389,refute_0_390]) ).

cnf(refute_0_392,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(bigC(a,a,c),product(c,product(b,c)))
    | product(c,product(b,c)) != bigC(c,c,b)
    | bigC(product(a,c),c,product(a,b)) = product(bigC(a,a,c),bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),c,product(a,b)),product(bigC(a,a,c),product(c,product(b,c)))) ),[1,1],$fot(bigC(c,c,b))]]) ).

cnf(refute_0_393,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(bigC(a,a,c),product(c,product(b,c)))
    | bigC(product(a,c),c,product(a,b)) = product(bigC(a,a,c),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,c,b)) )],[refute_0_391,refute_0_392]) ).

cnf(refute_0_394,plain,
    bigC(product(a,c),c,product(a,b)) = product(bigC(a,a,c),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,b)),product(bigC(a,a,c),product(c,product(b,c)))) )],[refute_0_388,refute_0_393]) ).

cnf(refute_0_395,plain,
    product(product(c,b),c) = bigC(c,b,c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_396,plain,
    product(bigC(a,a,c),product(product(c,b),c)) = product(bigC(a,a,c),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(product(c,b),c)))]]) ).

cnf(refute_0_397,plain,
    ( product(bigC(a,a,c),product(product(c,b),c)) != product(bigC(a,a,c),product(product(c,b),c))
    | product(product(c,b),c) != bigC(c,b,c)
    | product(bigC(a,a,c),product(product(c,b),c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),c)),product(bigC(a,a,c),product(product(c,b),c))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_398,plain,
    ( product(product(c,b),c) != bigC(c,b,c)
    | product(bigC(a,a,c),product(product(c,b),c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),c)),product(bigC(a,a,c),product(product(c,b),c))) )],[refute_0_396,refute_0_397]) ).

cnf(refute_0_399,plain,
    product(bigC(a,a,c),product(product(c,b),c)) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_395,refute_0_398]) ).

cnf(refute_0_400,plain,
    product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,c,a),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(product(c,b),c)))]]) ).

cnf(refute_0_401,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(product(c,b),c)) != product(bigC(a,c,a),product(product(c,b),c))
    | product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,a,c),product(product(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(product(c,b),c)),product(bigC(a,c,a),product(product(c,b),c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_402,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,a,c),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(c,b),c)),product(bigC(a,c,a),product(product(c,b),c))) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,a,c),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_402]) ).

cnf(refute_0_404,plain,
    ( product(bigC(a,a,c),product(product(c,b),c)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(bigC(a,c,a),product(product(c,b),c)) != product(bigC(a,a,c),product(product(c,b),c))
    | product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,a),product(product(c,b),c)))),bind(Y,$fot(product(bigC(a,a,c),product(product(c,b),c)))),bind(Z,$fot(product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_405,plain,
    ( product(bigC(a,a,c),product(product(c,b),c)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(c,b),c)),product(bigC(a,a,c),product(product(c,b),c))) )],[refute_0_403,refute_0_404]) ).

cnf(refute_0_406,plain,
    product(bigC(a,c,a),product(product(c,b),c)) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(c,b),c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_399,refute_0_405]) ).

cnf(refute_0_407,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = product(bigC(a,c,a),product(product(c,b),c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(product(c,b))),bind(D,$fot(c))]]) ).

cnf(refute_0_408,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(bigC(a,c,a),product(product(c,b),c))
    | product(bigC(a,c,a),product(product(c,b),c)) != product(bigC(a,a,c),bigC(c,b,c))
    | bigC(product(a,c),product(c,b),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(c,b),product(a,c)))),bind(Y,$fot(product(bigC(a,c,a),product(product(c,b),c)))),bind(Z,$fot(product(bigC(a,a,c),bigC(c,b,c))))]]) ).

cnf(refute_0_409,plain,
    ( product(bigC(a,c,a),product(product(c,b),c)) != product(bigC(a,a,c),bigC(c,b,c))
    | bigC(product(a,c),product(c,b),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(bigC(a,c,a),product(product(c,b),c))) )],[refute_0_407,refute_0_408]) ).

cnf(refute_0_410,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(c,b),c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_406,refute_0_409]) ).

cnf(refute_0_411,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(bigC(a,a,c),bigC(c,b,c))
    | bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(product(a,b),product(a,c))) ),[0],$fot(product(bigC(a,a,c),bigC(c,b,c)))]]) ).

cnf(refute_0_412,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_410,refute_0_411]) ).

cnf(refute_0_413,plain,
    ( product(bigC(a,a,c),bigC(c,b,c)) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),bigC(c,b,c)),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_414,plain,
    ( product(bigC(a,a,c),bigC(c,b,c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_413]) ).

cnf(refute_0_415,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,c),bigC(c,b,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(product(a,b),product(a,c))) )],[refute_0_412,refute_0_414]) ).

cnf(refute_0_416,plain,
    product(bigC(a,a,c),bigC(c,b,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(product(a,b),product(a,c))) )],[refute_0_99,refute_0_415]) ).

cnf(refute_0_417,plain,
    bigC(c,c,b) = bigC(c,b,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_418,plain,
    product(bigC(a,a,c),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),bigC(c,c,b)))]]) ).

cnf(refute_0_419,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(a,a,c),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,c,b))
    | product(bigC(a,a,c),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),bigC(c,c,b)),product(bigC(a,a,c),bigC(c,c,b))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_420,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(a,a,c),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,c,b)),product(bigC(a,a,c),bigC(c,c,b))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    product(bigC(a,a,c),bigC(c,c,b)) = product(bigC(a,a,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_420]) ).

cnf(refute_0_422,plain,
    ( product(bigC(a,a,c),bigC(c,b,c)) != product(a,product(b,c))
    | product(bigC(a,a,c),bigC(c,c,b)) != product(bigC(a,a,c),bigC(c,b,c))
    | product(bigC(a,a,c),bigC(c,c,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),bigC(c,c,b)))),bind(Y,$fot(product(bigC(a,a,c),bigC(c,b,c)))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_423,plain,
    ( product(bigC(a,a,c),bigC(c,b,c)) != product(a,product(b,c))
    | product(bigC(a,a,c),bigC(c,c,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,c,b)),product(bigC(a,a,c),bigC(c,b,c))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    product(bigC(a,a,c),bigC(c,c,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(a,product(b,c))) )],[refute_0_416,refute_0_423]) ).

cnf(refute_0_425,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(bigC(a,a,c),bigC(c,c,b))
    | product(bigC(a,a,c),bigC(c,c,b)) != product(a,product(b,c))
    | bigC(product(a,c),c,product(a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),c,product(a,b)),product(a,product(b,c))) ),[0],$fot(product(bigC(a,a,c),bigC(c,c,b)))]]) ).

cnf(refute_0_426,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(bigC(a,a,c),bigC(c,c,b))
    | bigC(product(a,c),c,product(a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,c,b)),product(a,product(b,c))) )],[refute_0_424,refute_0_425]) ).

cnf(refute_0_427,plain,
    bigC(product(a,c),c,product(a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,b)),product(bigC(a,a,c),bigC(c,c,b))) )],[refute_0_394,refute_0_426]) ).

cnf(refute_0_428,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(a,product(b,c))
    | quotient(bigC(product(a,c),c,product(a,b)),product(product(a,b),product(a,c))) != product(product(a,c),c)
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,c),c,product(a,b)),product(product(a,b),product(a,c))),product(product(a,c),c)) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_429,plain,
    ( quotient(bigC(product(a,c),c,product(a,b)),product(product(a,b),product(a,c))) != product(product(a,c),c)
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,b)),product(a,product(b,c))) )],[refute_0_427,refute_0_428]) ).

cnf(refute_0_430,plain,
    quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,c),c,product(a,b)),product(product(a,b),product(a,c))),product(product(a,c),c)) )],[refute_0_351,refute_0_429]) ).

cnf(refute_0_431,plain,
    quotient(product(X_7,X_7),X_7) = X_7,
    inference(subst,[],[sos03:[bind(A,$fot(X_7)),bind(B,$fot(X_7))]]) ).

cnf(refute_0_432,plain,
    product(X_7,X_7) = X_7,
    inference(subst,[],[sos06:[bind(A,$fot(X_7))]]) ).

cnf(refute_0_433,plain,
    ( product(X_7,X_7) != X_7
    | quotient(product(X_7,X_7),X_7) != X_7
    | quotient(X_7,X_7) = X_7 ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_7,X_7),X_7),X_7) ),[0,0],$fot(X_7)]]) ).

cnf(refute_0_434,plain,
    ( quotient(product(X_7,X_7),X_7) != X_7
    | quotient(X_7,X_7) = X_7 ),
    inference(resolve,[$cnf( $equal(product(X_7,X_7),X_7) )],[refute_0_432,refute_0_433]) ).

cnf(refute_0_435,plain,
    quotient(X_7,X_7) = X_7,
    inference(resolve,[$cnf( $equal(quotient(product(X_7,X_7),X_7),X_7) )],[refute_0_431,refute_0_434]) ).

cnf(refute_0_436,plain,
    quotient(product(a,product(b,c)),product(a,product(b,c))) = product(a,product(b,c)),
    inference(subst,[],[refute_0_435:[bind(X_7,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_437,plain,
    quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))))]]) ).

cnf(refute_0_438,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) != quotient(product(a,product(b,c)),product(product(a,b),product(a,c)))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = quotient(product(a,product(b,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),quotient(product(a,product(b,c)),product(product(a,b),product(a,c)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_439,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = quotient(product(a,product(b,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),quotient(product(a,product(b,c)),product(product(a,b),product(a,c)))) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = quotient(product(a,product(b,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_439]) ).

cnf(refute_0_441,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,c))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) != quotient(product(a,product(b,c)),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))))),bind(Y,$fot(quotient(product(a,product(b,c)),product(a,product(b,c))))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_442,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,c))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),quotient(product(a,product(b,c)),product(a,product(b,c)))) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,c))),product(a,product(b,c))) )],[refute_0_436,refute_0_442]) ).

cnf(refute_0_444,plain,
    ( quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) != product(product(a,c),c)
    | product(a,product(b,c)) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),product(product(a,c),c)) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_445,plain,
    ( quotient(product(a,product(b,c)),product(product(a,b),product(a,c))) != product(product(a,c),c)
    | product(a,product(b,c)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),product(a,product(b,c))) )],[refute_0_443,refute_0_444]) ).

cnf(refute_0_446,plain,
    product(a,product(b,c)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,b),product(a,c))),product(product(a,c),c)) )],[refute_0_430,refute_0_445]) ).

cnf(refute_0_447,plain,
    ( product(a,product(b,c)) != product(product(a,c),c)
    | product(product(a,c),c) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_448,plain,
    product(product(a,c),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(product(a,c),c)) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    ( difference(product(a,c),product(product(a,c),c)) != c
    | product(product(a,c),c) != product(a,product(b,c))
    | difference(product(a,c),product(a,product(b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),c)),c) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_450,plain,
    ( difference(product(a,c),product(product(a,c),c)) != c
    | difference(product(a,c),product(a,product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_449]) ).

cnf(refute_0_451,plain,
    difference(product(a,c),product(a,product(b,c))) = c,
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),c)),c) )],[refute_0_350,refute_0_450]) ).

cnf(refute_0_452,plain,
    difference(product(X_36,X_36),bigC(X_36,X_36,X_37)) = product(X_37,X_36),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(X_36)),bind(X_22,$fot(X_36)),bind(X_23,$fot(X_37))]]) ).

cnf(refute_0_453,plain,
    product(X_36,X_36) = X_36,
    inference(subst,[],[sos06:[bind(A,$fot(X_36))]]) ).

cnf(refute_0_454,plain,
    ( difference(product(X_36,X_36),bigC(X_36,X_36,X_37)) != product(X_37,X_36)
    | product(X_36,X_36) != X_36
    | difference(X_36,bigC(X_36,X_36,X_37)) = product(X_37,X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_36,X_36),bigC(X_36,X_36,X_37)),product(X_37,X_36)) ),[0,0],$fot(X_36)]]) ).

cnf(refute_0_455,plain,
    ( difference(product(X_36,X_36),bigC(X_36,X_36,X_37)) != product(X_37,X_36)
    | difference(X_36,bigC(X_36,X_36,X_37)) = product(X_37,X_36) ),
    inference(resolve,[$cnf( $equal(product(X_36,X_36),X_36) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    difference(X_36,bigC(X_36,X_36,X_37)) = product(X_37,X_36),
    inference(resolve,[$cnf( $equal(difference(product(X_36,X_36),bigC(X_36,X_36,X_37)),product(X_37,X_36)) )],[refute_0_452,refute_0_455]) ).

cnf(refute_0_457,plain,
    difference(product(a,c),bigC(product(a,c),product(a,c),product(c,b))) = product(product(c,b),product(a,c)),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(product(a,c))),bind(X_37,$fot(product(c,b)))]]) ).

cnf(refute_0_458,plain,
    bigC(product(a,c),product(c,b),product(a,c)) = bigC(product(a,c),product(a,c),product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_459,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != bigC(product(a,c),product(a,c),product(c,b))
    | bigC(product(a,c),product(c,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,c),product(a,c),product(c,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(a,product(b,c))) ),[0],$fot(bigC(product(a,c),product(a,c),product(c,b)))]]) ).

cnf(refute_0_460,plain,
    ( bigC(product(a,c),product(c,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,c),product(a,c),product(c,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),bigC(product(a,c),product(a,c),product(c,b))) )],[refute_0_458,refute_0_459]) ).

cnf(refute_0_461,plain,
    bigC(product(a,c),product(a,c),product(c,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,c)),product(a,product(b,c))) )],[refute_0_111,refute_0_460]) ).

cnf(refute_0_462,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(a,product(b,c))
    | difference(product(a,c),bigC(product(a,c),product(a,c),product(c,b))) != product(product(c,b),product(a,c))
    | difference(product(a,c),product(a,product(b,c))) = product(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(a,c),product(a,c),product(c,b))),product(product(c,b),product(a,c))) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_463,plain,
    ( difference(product(a,c),bigC(product(a,c),product(a,c),product(c,b))) != product(product(c,b),product(a,c))
    | difference(product(a,c),product(a,product(b,c))) = product(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(a,product(b,c))) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    difference(product(a,c),product(a,product(b,c))) = product(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(a,c),product(a,c),product(c,b))),product(product(c,b),product(a,c))) )],[refute_0_457,refute_0_463]) ).

cnf(refute_0_465,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(c,b),product(a,c)) != bigC(c,b,a)
    | product(product(c,b),product(a,c)) = bigC(c,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(a,c)))),bind(Y,$fot(bigC(c,b,a))),bind(Z,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_466,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(product(c,b),product(a,c)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,b,a)) )],[refute_0_172,refute_0_465]) ).

cnf(refute_0_467,plain,
    product(product(c,b),product(a,c)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_466]) ).

cnf(refute_0_468,plain,
    ( difference(product(a,c),product(a,product(b,c))) != product(product(c,b),product(a,c))
    | product(product(c,b),product(a,c)) != bigC(c,a,b)
    | difference(product(a,c),product(a,product(b,c))) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),product(a,product(b,c))),bigC(c,a,b)) ),[0],$fot(product(product(c,b),product(a,c)))]]) ).

cnf(refute_0_469,plain,
    ( difference(product(a,c),product(a,product(b,c))) != product(product(c,b),product(a,c))
    | difference(product(a,c),product(a,product(b,c))) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_467,refute_0_468]) ).

cnf(refute_0_470,plain,
    difference(product(a,c),product(a,product(b,c))) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),product(product(c,b),product(a,c))) )],[refute_0_464,refute_0_469]) ).

cnf(refute_0_471,plain,
    ( difference(product(a,c),product(a,product(b,c))) != bigC(c,a,b)
    | difference(product(a,c),product(a,product(b,c))) != c
    | bigC(c,a,b) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),c) ),[0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_472,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | bigC(c,a,b) = c ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),bigC(c,a,b)) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    bigC(c,a,b) = c,
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),c) )],[refute_0_451,refute_0_472]) ).

cnf(refute_0_474,plain,
    product(b,bigC(c,a,b)) = product(b,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(b,bigC(c,a,b)))]]) ).

cnf(refute_0_475,plain,
    ( bigC(c,a,b) != c
    | product(b,bigC(c,a,b)) != product(b,bigC(c,a,b))
    | product(b,bigC(c,a,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_476,plain,
    ( bigC(c,a,b) != c
    | product(b,bigC(c,a,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,bigC(c,a,b))) )],[refute_0_474,refute_0_475]) ).

cnf(refute_0_477,plain,
    product(b,bigC(c,a,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_476]) ).

cnf(refute_0_478,plain,
    product(bigC(b,a,c),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_479,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(bigC(b,a,c),product(b,bigC(c,a,b))) != product(bigC(b,a,c),product(b,bigC(c,a,b)))
    | product(bigC(b,a,c),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(b,bigC(c,a,b))),product(bigC(b,a,c),product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_480,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(bigC(b,a,c),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,bigC(c,a,b))),product(bigC(b,a,c),product(b,bigC(c,a,b)))) )],[refute_0_478,refute_0_479]) ).

cnf(refute_0_481,plain,
    product(bigC(b,a,c),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_480]) ).

cnf(refute_0_482,plain,
    bigC(b,a,bigC(c,a,b)) = bigC(b,a,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(b,a,bigC(c,a,b)))]]) ).

cnf(refute_0_483,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(b,a,bigC(c,a,b)) = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_484,plain,
    ( bigC(c,a,b) != c
    | bigC(b,a,bigC(c,a,b)) = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) )],[refute_0_482,refute_0_483]) ).

cnf(refute_0_485,plain,
    bigC(b,a,bigC(c,a,b)) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_484]) ).

cnf(refute_0_486,plain,
    product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_487,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_488,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b)))) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_485,refute_0_488]) ).

cnf(refute_0_490,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != product(bigC(b,a,c),product(b,bigC(c,a,b)))
    | product(bigC(b,a,c),product(b,bigC(c,a,b))) != product(bigC(b,a,c),product(b,c))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))))),bind(Y,$fot(product(bigC(b,a,c),product(b,bigC(c,a,b))))),bind(Z,$fot(product(bigC(b,a,c),product(b,c))))]]) ).

cnf(refute_0_491,plain,
    ( product(bigC(b,a,c),product(b,bigC(c,a,b))) != product(bigC(b,a,c),product(b,c))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,c),product(b,bigC(c,a,b)))) )],[refute_0_489,refute_0_490]) ).

cnf(refute_0_492,plain,
    product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) = product(bigC(b,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,bigC(c,a,b))),product(bigC(b,a,c),product(b,c))) )],[refute_0_481,refute_0_491]) ).

cnf(refute_0_493,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != bigC(b,c,bigC(c,a,b))
    | product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != product(bigC(b,a,c),product(b,c))
    | product(bigC(b,a,c),product(b,c)) = bigC(b,c,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),bigC(b,c,bigC(c,a,b))) ),[0],$fot(product(bigC(b,a,c),product(b,c)))]]) ).

cnf(refute_0_494,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != bigC(b,c,bigC(c,a,b))
    | product(bigC(b,a,c),product(b,c)) = bigC(b,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),product(bigC(b,a,c),product(b,c))) )],[refute_0_492,refute_0_493]) ).

cnf(refute_0_495,plain,
    bigC(b,c,bigC(c,a,b)) = bigC(b,c,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(b,c,bigC(c,a,b)))]]) ).

cnf(refute_0_496,plain,
    ( bigC(b,c,bigC(c,a,b)) != bigC(b,c,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(b,c,bigC(c,a,b)) = bigC(b,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,c,bigC(c,a,b)),bigC(b,c,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_497,plain,
    ( bigC(c,a,b) != c
    | bigC(b,c,bigC(c,a,b)) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,bigC(c,a,b)),bigC(b,c,bigC(c,a,b))) )],[refute_0_495,refute_0_496]) ).

cnf(refute_0_498,plain,
    bigC(b,c,bigC(c,a,b)) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_497]) ).

cnf(refute_0_499,plain,
    ( bigC(b,c,bigC(c,a,b)) != bigC(b,c,c)
    | product(bigC(b,a,c),product(b,c)) != bigC(b,c,bigC(c,a,b))
    | product(bigC(b,a,c),product(b,c)) = bigC(b,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,c,bigC(c,a,b))) ),[1],$fot(bigC(b,c,c))]]) ).

cnf(refute_0_500,plain,
    ( product(bigC(b,a,c),product(b,c)) != bigC(b,c,bigC(c,a,b))
    | product(bigC(b,a,c),product(b,c)) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,bigC(c,a,b)),bigC(b,c,c)) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))) != bigC(b,c,bigC(c,a,b))
    | product(bigC(b,a,c),product(b,c)) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,c,bigC(c,a,b))) )],[refute_0_494,refute_0_500]) ).

cnf(refute_0_502,plain,
    product(bigC(b,a,c),product(b,c)) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(b,bigC(c,a,b))),bigC(b,c,bigC(c,a,b))) )],[refute_0_349,refute_0_501]) ).

cnf(refute_0_503,plain,
    bigC(product(b,c),product(b,c),product(a,b)) = product(product(b,c),product(product(a,b),product(b,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(b,c))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_504,plain,
    product(product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_505,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(a,b),product(b,bigC(c,a,b))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(product(a,b),product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_506,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_504,refute_0_505]) ).

cnf(refute_0_507,plain,
    product(product(a,b),product(b,bigC(c,a,b))) = product(product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_506]) ).

cnf(refute_0_508,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | product(product(a,b),product(b,bigC(c,a,b))) != product(product(a,b),product(b,c))
    | product(product(a,b),product(b,c)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) ),[0],$fot(product(product(a,b),product(b,c)))]]) ).

cnf(refute_0_509,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | product(product(a,b),product(b,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(product(a,b),product(b,c))) )],[refute_0_507,refute_0_508]) ).

cnf(refute_0_510,plain,
    product(product(a,b),product(b,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_509]) ).

cnf(refute_0_511,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != product(product(b,c),product(product(a,b),product(b,c)))
    | product(product(a,b),product(b,c)) != product(c,b)
    | bigC(product(b,c),product(b,c),product(a,b)) = product(product(b,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),product(product(b,c),product(product(a,b),product(b,c)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_512,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != product(product(b,c),product(product(a,b),product(b,c)))
    | bigC(product(b,c),product(b,c),product(a,b)) = product(product(b,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,c)),product(c,b)) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    bigC(product(b,c),product(b,c),product(a,b)) = product(product(b,c),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),product(product(b,c),product(product(a,b),product(b,c)))) )],[refute_0_503,refute_0_512]) ).

cnf(refute_0_514,plain,
    product(bigC(b,a,b),bigC(b,a,b)) = bigC(b,a,b),
    inference(subst,[],[sos06:[bind(A,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_515,plain,
    difference(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) = bigC(b,a,b),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_516,plain,
    bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(product(a,b),product(product(bigC(c,a,b),a),product(a,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(a,b))),bind(X_23,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_517,plain,
    product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(a,c),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_518,plain,
    quotient(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),product(X_16,product(X_16,X_15))) = product(product(X_15,X_16),X_16),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(X_15,X_16),X_16))),bind(B,$fot(product(X_16,product(X_16,X_15))))]]) ).

cnf(refute_0_519,plain,
    ( product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))) != X_16
    | quotient(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),product(X_16,product(X_16,X_15))) != product(product(X_15,X_16),X_16)
    | quotient(X_16,product(X_16,product(X_16,X_15))) = product(product(X_15,X_16),X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),product(X_16,product(X_16,X_15))),product(product(X_15,X_16),X_16)) ),[0,0],$fot(X_16)]]) ).

cnf(refute_0_520,plain,
    ( quotient(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),product(X_16,product(X_16,X_15))) != product(product(X_15,X_16),X_16)
    | quotient(X_16,product(X_16,product(X_16,X_15))) = product(product(X_15,X_16),X_16) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),X_16) )],[refute_0_30,refute_0_519]) ).

cnf(refute_0_521,plain,
    quotient(X_16,product(X_16,product(X_16,X_15))) = product(product(X_15,X_16),X_16),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),product(X_16,product(X_16,X_15))),product(product(X_15,X_16),X_16)) )],[refute_0_518,refute_0_520]) ).

cnf(refute_0_522,plain,
    quotient(product(a,c),product(product(a,c),product(product(a,c),product(c,b)))) = product(product(product(c,b),product(a,c)),product(a,c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(a,c)))]]) ).

cnf(refute_0_523,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(c,b)))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(a,b))) = product(product(product(c,b),product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(c,b)))),product(product(product(c,b),product(a,c)),product(a,c))) ),[0,1,1],$fot(product(a,b))]]) ).

cnf(refute_0_524,plain,
    ( quotient(product(a,c),product(product(a,c),product(product(a,c),product(c,b)))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(a,b))) = product(product(product(c,b),product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_523]) ).

cnf(refute_0_525,plain,
    quotient(product(a,c),product(product(a,c),product(a,b))) = product(product(product(c,b),product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(c,b)))),product(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_522,refute_0_524]) ).

cnf(refute_0_526,plain,
    product(product(a,a),product(c,b)) = product(product(a,a),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(c,b)))]]) ).

cnf(refute_0_527,plain,
    ( product(a,a) != a
    | product(product(a,a),product(c,b)) != product(product(a,a),product(c,b))
    | product(product(a,a),product(c,b)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(c,b)),product(product(a,a),product(c,b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_528,plain,
    ( product(a,a) != a
    | product(product(a,a),product(c,b)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(product(a,a),product(c,b))) )],[refute_0_526,refute_0_527]) ).

cnf(refute_0_529,plain,
    product(product(a,a),product(c,b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_528]) ).

cnf(refute_0_530,plain,
    product(product(a,c),product(a,b)) = product(product(a,a),product(c,b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_531,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(a,c),product(a,b)) != product(product(a,a),product(c,b))
    | product(product(a,c),product(a,b)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(a,b)))),bind(Y,$fot(product(product(a,a),product(c,b)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_532,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(a,c),product(a,b)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(product(a,a),product(c,b))) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    product(product(a,c),product(a,b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(a,product(c,b))) )],[refute_0_529,refute_0_532]) ).

cnf(refute_0_534,plain,
    quotient(product(a,c),product(product(a,c),product(a,b))) = quotient(product(a,c),product(product(a,c),product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(a,c),product(product(a,c),product(a,b))))]]) ).

cnf(refute_0_535,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | quotient(product(a,c),product(product(a,c),product(a,b))) != quotient(product(a,c),product(product(a,c),product(a,b)))
    | quotient(product(a,c),product(product(a,c),product(a,b))) = quotient(product(a,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(a,b))),quotient(product(a,c),product(product(a,c),product(a,b)))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_536,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | quotient(product(a,c),product(product(a,c),product(a,b))) = quotient(product(a,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(a,b))),quotient(product(a,c),product(product(a,c),product(a,b)))) )],[refute_0_534,refute_0_535]) ).

cnf(refute_0_537,plain,
    quotient(product(a,c),product(product(a,c),product(a,b))) = quotient(product(a,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_536]) ).

cnf(refute_0_538,plain,
    ( quotient(product(a,c),product(product(a,c),product(a,b))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(a,b))) != quotient(product(a,c),product(a,product(c,b)))
    | quotient(product(a,c),product(a,product(c,b))) = product(product(product(c,b),product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(a,b))),product(product(product(c,b),product(a,c)),product(a,c))) ),[0],$fot(quotient(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_539,plain,
    ( quotient(product(a,c),product(product(a,c),product(a,b))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = product(product(product(c,b),product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(a,b))),quotient(product(a,c),product(a,product(c,b)))) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    product(product(product(c,b),product(a,c)),product(a,c)) = product(product(product(c,b),a),product(product(a,c),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(c,b))),bind(B,$fot(a)),bind(C,$fot(product(a,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_541,plain,
    ( product(product(product(c,b),product(a,c)),product(a,c)) != product(product(product(c,b),a),product(product(a,c),c))
    | quotient(product(a,c),product(a,product(c,b))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = product(product(product(c,b),a),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(product(product(c,b),product(a,c)),product(a,c))) ),[1],$fot(product(product(product(c,b),a),product(product(a,c),c)))]]) ).

cnf(refute_0_542,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = product(product(product(c,b),a),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,c)),product(a,c)),product(product(product(c,b),a),product(product(a,c),c))) )],[refute_0_540,refute_0_541]) ).

cnf(refute_0_543,plain,
    ( quotient(product(a,c),product(product(a,c),product(a,b))) != product(product(product(c,b),product(a,c)),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = product(product(product(c,b),a),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_539,refute_0_542]) ).

cnf(refute_0_544,plain,
    quotient(product(a,c),product(a,product(c,b))) = product(product(product(c,b),a),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(a,b))),product(product(product(c,b),product(a,c)),product(a,c))) )],[refute_0_525,refute_0_543]) ).

cnf(refute_0_545,plain,
    quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(X_21,X_22))),bind(X_16,$fot(product(X_23,X_21)))]]) ).

cnf(refute_0_546,plain,
    ( product(product(X_21,X_22),product(X_23,X_21)) != bigC(X_21,X_22,X_23)
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) != product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21))
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(bigC(X_21,X_22,X_23),product(X_23,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))),product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21))) ),[1,0],$fot(bigC(X_21,X_22,X_23))]]) ).

cnf(refute_0_547,plain,
    ( quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) != product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21))
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(bigC(X_21,X_22,X_23),product(X_23,X_21)) ),
    inference(resolve,[$cnf( $equal(product(product(X_21,X_22),product(X_23,X_21)),bigC(X_21,X_22,X_23)) )],[refute_0_75,refute_0_546]) ).

cnf(refute_0_548,plain,
    quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(bigC(X_21,X_22,X_23),product(X_23,X_21)),
    inference(resolve,[$cnf( $equal(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))),product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21))) )],[refute_0_545,refute_0_547]) ).

cnf(refute_0_549,plain,
    product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)) = product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(X_21,X_22))),bind(B,$fot(X_23)),bind(C,$fot(product(X_23,X_21))),bind(D,$fot(X_21))]]) ).

cnf(refute_0_550,plain,
    ( product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)) != product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21))
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) != product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21))
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))))),bind(Y,$fot(product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)))),bind(Z,$fot(product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21))))]]) ).

cnf(refute_0_551,plain,
    ( product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)) != product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21))
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))),product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21))) )],[refute_0_545,refute_0_550]) ).

cnf(refute_0_552,plain,
    quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) = product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)),
    inference(resolve,[$cnf( $equal(product(product(product(X_21,X_22),product(X_23,X_21)),product(X_23,X_21)),product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21))) )],[refute_0_549,refute_0_551]) ).

cnf(refute_0_553,plain,
    ( quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) != product(bigC(X_21,X_22,X_23),product(X_23,X_21))
    | quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) != product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21))
    | product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)) = product(bigC(X_21,X_22,X_23),product(X_23,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))),product(bigC(X_21,X_22,X_23),product(X_23,X_21))) ),[0],$fot(product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)))]]) ).

cnf(refute_0_554,plain,
    ( quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))) != product(bigC(X_21,X_22,X_23),product(X_23,X_21))
    | product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)) = product(bigC(X_21,X_22,X_23),product(X_23,X_21)) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))),product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21))) )],[refute_0_552,refute_0_553]) ).

cnf(refute_0_555,plain,
    product(product(product(X_21,X_22),X_23),product(product(X_23,X_21),X_21)) = product(bigC(X_21,X_22,X_23),product(X_23,X_21)),
    inference(resolve,[$cnf( $equal(quotient(product(X_23,X_21),product(product(X_23,X_21),product(product(X_23,X_21),product(X_21,X_22)))),product(bigC(X_21,X_22,X_23),product(X_23,X_21))) )],[refute_0_548,refute_0_554]) ).

cnf(refute_0_556,plain,
    product(product(product(c,b),a),product(product(a,c),c)) = product(bigC(c,b,a),product(a,c)),
    inference(subst,[],[refute_0_555:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(a))]]) ).

cnf(refute_0_557,plain,
    ( product(product(product(c,b),a),product(product(a,c),c)) != product(bigC(c,b,a),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) != product(product(product(c,b),a),product(product(a,c),c))
    | quotient(product(a,c),product(a,product(c,b))) = product(bigC(c,b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(product(product(c,b),a),product(product(a,c),c))) ),[1],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_558,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(product(product(c,b),a),product(product(a,c),c))
    | quotient(product(a,c),product(a,product(c,b))) = product(bigC(c,b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),product(bigC(c,b,a),product(a,c))) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    quotient(product(a,c),product(a,product(c,b))) = product(bigC(c,b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(product(product(c,b),a),product(product(a,c),c))) )],[refute_0_544,refute_0_558]) ).

cnf(refute_0_560,plain,
    ( product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(a,c)
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(a,c)) ),[0,0],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_561,plain,
    ( product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(a,c)
    | product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_560]) ).

cnf(refute_0_562,plain,
    product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(a,c)) )],[refute_0_517,refute_0_561]) ).

cnf(refute_0_563,plain,
    product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) = product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))))]]) ).

cnf(refute_0_564,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) != product(product(bigC(c,b,a),a),product(product(a,c),product(c,b)))
    | product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) = product(product(bigC(c,b,a),a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))),product(product(bigC(c,b,a),a),product(product(a,c),product(c,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_565,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) = product(product(bigC(c,b,a),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))),product(product(bigC(c,b,a),a),product(product(a,c),product(c,b)))) )],[refute_0_563,refute_0_564]) ).

cnf(refute_0_566,plain,
    product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) = product(product(bigC(c,b,a),a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_565]) ).

cnf(refute_0_567,plain,
    product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(c,b,a))),bind(B,$fot(a)),bind(C,$fot(product(a,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_568,plain,
    ( product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) != product(product(bigC(c,b,a),a),product(a,b))
    | product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) != product(product(bigC(c,b,a),a),product(product(a,c),product(c,b)))
    | product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(product(bigC(c,b,a),a),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))))),bind(Y,$fot(product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))))),bind(Z,$fot(product(product(bigC(c,b,a),a),product(a,b))))]]) ).

cnf(refute_0_569,plain,
    ( product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))) != product(product(bigC(c,b,a),a),product(a,b))
    | product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(product(bigC(c,b,a),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))),product(product(bigC(c,b,a),a),product(product(a,c),product(c,b)))) )],[refute_0_567,refute_0_568]) ).

cnf(refute_0_570,plain,
    product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) = product(product(bigC(c,b,a),a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(product(a,c),product(c,b))),product(product(bigC(c,b,a),a),product(a,b))) )],[refute_0_566,refute_0_569]) ).

cnf(refute_0_571,plain,
    ( product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) != product(a,c)
    | product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) != product(product(bigC(c,b,a),a),product(a,b))
    | product(product(bigC(c,b,a),a),product(a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))),product(a,c)) ),[0],$fot(product(product(bigC(c,b,a),a),product(a,b)))]]) ).

cnf(refute_0_572,plain,
    ( product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))) != product(a,c)
    | product(product(bigC(c,b,a),a),product(a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))),product(product(bigC(c,b,a),a),product(a,b))) )],[refute_0_570,refute_0_571]) ).

cnf(refute_0_573,plain,
    product(product(bigC(c,b,a),a),product(a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(a,product(c,b))),product(a,c)) )],[refute_0_562,refute_0_572]) ).

cnf(refute_0_574,plain,
    product(bigC(c,b,a),a) = product(bigC(c,b,a),a),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,a),a))]]) ).

cnf(refute_0_575,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),a) != product(bigC(c,b,a),a)
    | product(bigC(c,b,a),a) = product(bigC(c,a,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,b,a),a)) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_576,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),a) = product(bigC(c,a,b),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,b,a),a)) )],[refute_0_574,refute_0_575]) ).

cnf(refute_0_577,plain,
    product(bigC(c,b,a),a) = product(bigC(c,a,b),a),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_576]) ).

cnf(refute_0_578,plain,
    product(product(bigC(c,b,a),a),product(a,b)) = product(product(bigC(c,b,a),a),product(a,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,a),a),product(a,b)))]]) ).

cnf(refute_0_579,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(product(bigC(c,b,a),a),product(a,b)) != product(product(bigC(c,b,a),a),product(a,b))
    | product(product(bigC(c,b,a),a),product(a,b)) = product(product(bigC(c,a,b),a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(product(bigC(c,b,a),a),product(a,b))) ),[1,0],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_580,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(product(bigC(c,b,a),a),product(a,b)) = product(product(bigC(c,a,b),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(product(bigC(c,b,a),a),product(a,b))) )],[refute_0_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    product(product(bigC(c,b,a),a),product(a,b)) = product(product(bigC(c,a,b),a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_580]) ).

cnf(refute_0_582,plain,
    ( product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | product(product(bigC(c,b,a),a),product(a,b)) != product(product(bigC(c,a,b),a),product(a,b))
    | product(product(bigC(c,a,b),a),product(a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) ),[0],$fot(product(product(bigC(c,a,b),a),product(a,b)))]]) ).

cnf(refute_0_583,plain,
    ( product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | product(product(bigC(c,a,b),a),product(a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(product(bigC(c,a,b),a),product(a,b))) )],[refute_0_581,refute_0_582]) ).

cnf(refute_0_584,plain,
    product(product(bigC(c,a,b),a),product(a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_583]) ).

cnf(refute_0_585,plain,
    ( bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(product(a,b),product(product(bigC(c,a,b),a),product(a,b)))
    | product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)),product(product(a,b),product(product(bigC(c,a,b),a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_586,plain,
    ( bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(product(a,b),product(product(bigC(c,a,b),a),product(a,b)))
    | bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_584,refute_0_585]) ).

cnf(refute_0_587,plain,
    bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)),product(product(a,b),product(product(bigC(c,a,b),a),product(a,b)))) )],[refute_0_516,refute_0_586]) ).

cnf(refute_0_588,plain,
    product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)))]]) ).

cnf(refute_0_589,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)),product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_590,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)),product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a))) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_301,refute_0_590]) ).

cnf(refute_0_592,plain,
    product(a,product(bigC(c,a,b),a)) = bigC(a,a,bigC(c,a,b)),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(a)),bind(X_23,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_593,plain,
    product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)))]]) ).

cnf(refute_0_594,plain,
    ( product(a,product(bigC(c,a,b),a)) != bigC(a,a,bigC(c,a,b))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) != product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)),product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a))) ),[1,0],$fot(bigC(a,a,bigC(c,a,b)))]]) ).

cnf(refute_0_595,plain,
    ( product(a,product(bigC(c,a,b),a)) != bigC(a,a,bigC(c,a,b))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)),product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a))) )],[refute_0_593,refute_0_594]) ).

cnf(refute_0_596,plain,
    product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(c,a,b),a)),bigC(a,a,bigC(c,a,b))) )],[refute_0_592,refute_0_595]) ).

cnf(refute_0_597,plain,
    ( product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)))),bind(Y,$fot(product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)))),bind(Z,$fot(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_598,plain,
    ( product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)),product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a))) )],[refute_0_596,refute_0_597]) ).

cnf(refute_0_599,plain,
    product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,b,a)),product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_591,refute_0_598]) ).

cnf(refute_0_600,plain,
    bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(a)),bind(B,$fot(product(bigC(c,a,b),a))),bind(C,$fot(b))]]) ).

cnf(refute_0_601,plain,
    ( bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a))
    | product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)))),bind(Y,$fot(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)))),bind(Z,$fot(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_602,plain,
    ( product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)),product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a))) )],[refute_0_600,refute_0_601]) ).

cnf(refute_0_603,plain,
    bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(c,a,b),a)),bigC(b,b,a)),product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_599,refute_0_602]) ).

cnf(refute_0_604,plain,
    ( bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))
    | bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)),product(product(a,b),product(a,c))) ),[0],$fot(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_605,plain,
    ( bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)),product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_603,refute_0_604]) ).

cnf(refute_0_606,plain,
    ( product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_607,plain,
    ( product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_606]) ).

cnf(refute_0_608,plain,
    ( bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)) != product(product(a,b),product(a,c))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(product(a,b),product(a,c))) )],[refute_0_605,refute_0_607]) ).

cnf(refute_0_609,plain,
    product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(bigC(c,a,b),a)),product(product(a,b),product(a,c))) )],[refute_0_587,refute_0_608]) ).

cnf(refute_0_610,plain,
    bigC(a,a,bigC(c,a,b)) = bigC(a,a,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(a,a,bigC(c,a,b)))]]) ).

cnf(refute_0_611,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(a,a,bigC(c,a,b)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_612,plain,
    ( bigC(c,a,b) != c
    | bigC(a,a,bigC(c,a,b)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,bigC(c,a,b))) )],[refute_0_610,refute_0_611]) ).

cnf(refute_0_613,plain,
    bigC(a,a,bigC(c,a,b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_612]) ).

cnf(refute_0_614,plain,
    product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_615,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(bigC(a,a,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_616,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(bigC(a,a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b))) )],[refute_0_614,refute_0_615]) ).

cnf(refute_0_617,plain,
    product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) = product(bigC(a,a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,c)) )],[refute_0_613,refute_0_616]) ).

cnf(refute_0_618,plain,
    ( product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(a,product(b,c))
    | product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(bigC(a,a,c),bigC(b,a,b))
    | product(bigC(a,a,c),bigC(b,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(a,product(b,c))) ),[0],$fot(product(bigC(a,a,c),bigC(b,a,b)))]]) ).

cnf(refute_0_619,plain,
    ( product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)) != product(a,product(b,c))
    | product(bigC(a,a,c),bigC(b,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(b,a,b))) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    product(bigC(a,a,c),bigC(b,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,bigC(c,a,b)),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_609,refute_0_619]) ).

cnf(refute_0_621,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != bigC(b,a,b)
    | product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | difference(bigC(a,a,c),product(a,product(b,c))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),bigC(b,a,b)) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_622,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))) != bigC(b,a,b)
    | difference(bigC(a,a,c),product(a,product(b,c))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_620,refute_0_621]) ).

cnf(refute_0_623,plain,
    difference(bigC(a,a,c),product(a,product(b,c))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b))),bigC(b,a,b)) )],[refute_0_515,refute_0_622]) ).

cnf(refute_0_624,plain,
    difference(bigC(a,a,c),product(bigC(a,a,c),bigC(c,b,c))) = bigC(c,b,c),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_625,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),bigC(c,b,c))) != bigC(c,b,c)
    | product(bigC(a,a,c),bigC(c,b,c)) != product(a,product(b,c))
    | difference(bigC(a,a,c),product(a,product(b,c))) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),bigC(c,b,c))),bigC(c,b,c)) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_626,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),bigC(c,b,c))) != bigC(c,b,c)
    | difference(bigC(a,a,c),product(a,product(b,c))) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(a,product(b,c))) )],[refute_0_416,refute_0_625]) ).

cnf(refute_0_627,plain,
    difference(bigC(a,a,c),product(a,product(b,c))) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),bigC(c,b,c))),bigC(c,b,c)) )],[refute_0_624,refute_0_626]) ).

cnf(refute_0_628,plain,
    ( difference(bigC(a,a,c),product(a,product(b,c))) != bigC(b,a,b)
    | difference(bigC(a,a,c),product(a,product(b,c))) != bigC(c,b,c)
    | bigC(c,b,c) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(a,product(b,c))),bigC(b,a,b)) ),[0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_629,plain,
    ( difference(bigC(a,a,c),product(a,product(b,c))) != bigC(b,a,b)
    | bigC(c,b,c) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,product(b,c))),bigC(c,b,c)) )],[refute_0_627,refute_0_628]) ).

cnf(refute_0_630,plain,
    bigC(c,b,c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,product(b,c))),bigC(b,a,b)) )],[refute_0_623,refute_0_629]) ).

cnf(refute_0_631,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,c,b) != bigC(c,b,c)
    | bigC(c,c,b) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,b))),bind(Y,$fot(bigC(c,b,c))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_632,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,c,b) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_631]) ).

cnf(refute_0_633,plain,
    bigC(c,c,b) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_632]) ).

cnf(refute_0_634,plain,
    product(bigC(b,a,b),bigC(c,c,b)) = product(bigC(b,a,b),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(c,c,b)))]]) ).

cnf(refute_0_635,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(b,a,b),bigC(c,c,b)) != product(bigC(b,a,b),bigC(c,c,b))
    | product(bigC(b,a,b),bigC(c,c,b)) = product(bigC(b,a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(c,c,b)),product(bigC(b,a,b),bigC(c,c,b))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_636,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(b,a,b),bigC(c,c,b)) = product(bigC(b,a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(c,c,b)),product(bigC(b,a,b),bigC(c,c,b))) )],[refute_0_634,refute_0_635]) ).

cnf(refute_0_637,plain,
    product(bigC(b,a,b),bigC(c,c,b)) = product(bigC(b,a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(b,a,b)) )],[refute_0_633,refute_0_636]) ).

cnf(refute_0_638,plain,
    product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,b,a),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,a),bigC(c,c,b)))]]) ).

cnf(refute_0_639,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(bigC(b,b,a),bigC(c,c,b)) != product(bigC(b,b,a),bigC(c,c,b))
    | product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,a,b),bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,a),bigC(c,c,b)),product(bigC(b,b,a),bigC(c,c,b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_640,plain,
    ( bigC(b,b,a) != bigC(b,a,b)
    | product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,a,b),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(c,c,b)),product(bigC(b,b,a),bigC(c,c,b))) )],[refute_0_638,refute_0_639]) ).

cnf(refute_0_641,plain,
    product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,a,b),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_301,refute_0_640]) ).

cnf(refute_0_642,plain,
    ( product(bigC(b,a,b),bigC(c,c,b)) != product(bigC(b,a,b),bigC(b,a,b))
    | product(bigC(b,b,a),bigC(c,c,b)) != product(bigC(b,a,b),bigC(c,c,b))
    | product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,a,b),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,a),bigC(c,c,b)))),bind(Y,$fot(product(bigC(b,a,b),bigC(c,c,b)))),bind(Z,$fot(product(bigC(b,a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_643,plain,
    ( product(bigC(b,a,b),bigC(c,c,b)) != product(bigC(b,a,b),bigC(b,a,b))
    | product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(c,c,b)),product(bigC(b,a,b),bigC(c,c,b))) )],[refute_0_641,refute_0_642]) ).

cnf(refute_0_644,plain,
    product(bigC(b,b,a),bigC(c,c,b)) = product(bigC(b,a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(c,c,b)),product(bigC(b,a,b),bigC(b,a,b))) )],[refute_0_637,refute_0_643]) ).

cnf(refute_0_645,plain,
    ( product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,b)
    | product(bigC(b,b,a),bigC(c,c,b)) != product(bigC(b,a,b),bigC(b,a,b))
    | product(bigC(b,b,a),bigC(c,c,b)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,a),bigC(c,c,b)))),bind(Y,$fot(product(bigC(b,a,b),bigC(b,a,b)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_646,plain,
    ( product(bigC(b,a,b),bigC(b,a,b)) != bigC(b,a,b)
    | product(bigC(b,b,a),bigC(c,c,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(c,c,b)),product(bigC(b,a,b),bigC(b,a,b))) )],[refute_0_644,refute_0_645]) ).

cnf(refute_0_647,plain,
    product(bigC(b,b,a),bigC(c,c,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,a,b)),bigC(b,a,b)) )],[refute_0_514,refute_0_646]) ).

cnf(refute_0_648,plain,
    bigC(product(B,D),product(B,D),product(A,C)) = product(product(B,D),product(product(A,C),product(B,D))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(B,D))),bind(X_23,$fot(product(A,C)))]]) ).

cnf(refute_0_649,plain,
    ( bigC(product(B,D),product(B,D),product(A,C)) != product(product(B,D),product(product(A,C),product(B,D)))
    | product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | bigC(product(B,D),product(B,D),product(A,C)) = product(product(B,D),product(product(A,B),product(C,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(B,D),product(B,D),product(A,C)),product(product(B,D),product(product(A,C),product(B,D)))) ),[1,1],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_650,plain,
    ( bigC(product(B,D),product(B,D),product(A,C)) != product(product(B,D),product(product(A,C),product(B,D)))
    | bigC(product(B,D),product(B,D),product(A,C)) = product(product(B,D),product(product(A,B),product(C,D))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_35,refute_0_649]) ).

cnf(refute_0_651,plain,
    bigC(product(B,D),product(B,D),product(A,C)) = product(product(B,D),product(product(A,B),product(C,D))),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),product(B,D),product(A,C)),product(product(B,D),product(product(A,C),product(B,D)))) )],[refute_0_648,refute_0_650]) ).

cnf(refute_0_652,plain,
    bigC(product(B,D),product(B,D),product(A,C)) = product(product(B,product(A,C)),bigC(D,D,B)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(B)),bind(B,$fot(product(A,C))),bind(C,$fot(D))]]) ).

cnf(refute_0_653,plain,
    ( bigC(product(B,D),product(B,D),product(A,C)) != product(product(B,D),product(product(A,B),product(C,D)))
    | bigC(product(B,D),product(B,D),product(A,C)) != product(product(B,product(A,C)),bigC(D,D,B))
    | product(product(B,product(A,C)),bigC(D,D,B)) = product(product(B,D),product(product(A,B),product(C,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(B,D),product(B,D),product(A,C)),product(product(B,D),product(product(A,B),product(C,D)))) ),[0],$fot(product(product(B,product(A,C)),bigC(D,D,B)))]]) ).

cnf(refute_0_654,plain,
    ( bigC(product(B,D),product(B,D),product(A,C)) != product(product(B,D),product(product(A,B),product(C,D)))
    | product(product(B,product(A,C)),bigC(D,D,B)) = product(product(B,D),product(product(A,B),product(C,D))) ),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),product(B,D),product(A,C)),product(product(B,product(A,C)),bigC(D,D,B))) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    product(B,product(A,B)) = bigC(B,B,A),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(B)),bind(X_23,$fot(A))]]) ).

cnf(refute_0_656,plain,
    product(product(B,product(A,B)),bigC(D,D,C)) = product(product(B,product(A,B)),bigC(D,D,C)),
    introduced(tautology,[refl,[$fot(product(product(B,product(A,B)),bigC(D,D,C)))]]) ).

cnf(refute_0_657,plain,
    ( product(B,product(A,B)) != bigC(B,B,A)
    | product(product(B,product(A,B)),bigC(D,D,C)) != product(product(B,product(A,B)),bigC(D,D,C))
    | product(product(B,product(A,B)),bigC(D,D,C)) = product(bigC(B,B,A),bigC(D,D,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(B,product(A,B)),bigC(D,D,C)),product(product(B,product(A,B)),bigC(D,D,C))) ),[1,0],$fot(bigC(B,B,A))]]) ).

cnf(refute_0_658,plain,
    ( product(B,product(A,B)) != bigC(B,B,A)
    | product(product(B,product(A,B)),bigC(D,D,C)) = product(bigC(B,B,A),bigC(D,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(B,product(A,B)),bigC(D,D,C)),product(product(B,product(A,B)),bigC(D,D,C))) )],[refute_0_656,refute_0_657]) ).

cnf(refute_0_659,plain,
    product(product(B,product(A,B)),bigC(D,D,C)) = product(bigC(B,B,A),bigC(D,D,C)),
    inference(resolve,[$cnf( $equal(product(B,product(A,B)),bigC(B,B,A)) )],[refute_0_655,refute_0_658]) ).

cnf(refute_0_660,plain,
    product(product(A,B),product(C,product(X_84,B))) = product(product(A,C),product(B,product(X_84,B))),
    inference(subst,[],[sos05:[bind(D,$fot(product(X_84,B)))]]) ).

cnf(refute_0_661,plain,
    bigC(B,B,X_84) = product(B,product(X_84,B)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(B)),bind(X_23,$fot(X_84))]]) ).

cnf(refute_0_662,plain,
    ( bigC(B,B,X_84) != product(B,product(X_84,B))
    | product(B,product(X_84,B)) = bigC(B,B,X_84) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(B,B,X_84))),bind(Y,$fot(product(B,product(X_84,B))))]]) ).

cnf(refute_0_663,plain,
    product(B,product(X_84,B)) = bigC(B,B,X_84),
    inference(resolve,[$cnf( $equal(bigC(B,B,X_84),product(B,product(X_84,B))) )],[refute_0_661,refute_0_662]) ).

cnf(refute_0_664,plain,
    ( product(B,product(X_84,B)) != bigC(B,B,X_84)
    | product(product(A,B),product(C,product(X_84,B))) != product(product(A,C),product(B,product(X_84,B)))
    | product(product(A,B),product(C,product(X_84,B))) = product(product(A,C),bigC(B,B,X_84)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(C,product(X_84,B))),product(product(A,C),product(B,product(X_84,B)))) ),[1,1],$fot(bigC(B,B,X_84))]]) ).

cnf(refute_0_665,plain,
    ( product(product(A,B),product(C,product(X_84,B))) != product(product(A,C),product(B,product(X_84,B)))
    | product(product(A,B),product(C,product(X_84,B))) = product(product(A,C),bigC(B,B,X_84)) ),
    inference(resolve,[$cnf( $equal(product(B,product(X_84,B)),bigC(B,B,X_84)) )],[refute_0_663,refute_0_664]) ).

cnf(refute_0_666,plain,
    product(product(A,B),product(C,product(X_84,B))) = product(product(A,C),bigC(B,B,X_84)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,product(X_84,B))),product(product(A,C),product(B,product(X_84,B)))) )],[refute_0_660,refute_0_665]) ).

cnf(refute_0_667,plain,
    product(product(B,D),product(product(A,B),product(C,D))) = product(product(B,product(A,B)),bigC(D,D,C)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(B)),bind(B,$fot(D)),bind(C,$fot(product(A,B))),bind(X_84,$fot(C))]]) ).

cnf(refute_0_668,plain,
    ( product(product(B,D),product(product(A,B),product(C,D))) != product(product(B,product(A,B)),bigC(D,D,C))
    | product(product(B,product(A,B)),bigC(D,D,C)) != product(bigC(B,B,A),bigC(D,D,C))
    | product(product(B,D),product(product(A,B),product(C,D))) = product(bigC(B,B,A),bigC(D,D,C)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(B,D),product(product(A,B),product(C,D))))),bind(Y,$fot(product(product(B,product(A,B)),bigC(D,D,C)))),bind(Z,$fot(product(bigC(B,B,A),bigC(D,D,C))))]]) ).

cnf(refute_0_669,plain,
    ( product(product(B,product(A,B)),bigC(D,D,C)) != product(bigC(B,B,A),bigC(D,D,C))
    | product(product(B,D),product(product(A,B),product(C,D))) = product(bigC(B,B,A),bigC(D,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(B,D),product(product(A,B),product(C,D))),product(product(B,product(A,B)),bigC(D,D,C))) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    product(product(B,D),product(product(A,B),product(C,D))) = product(bigC(B,B,A),bigC(D,D,C)),
    inference(resolve,[$cnf( $equal(product(product(B,product(A,B)),bigC(D,D,C)),product(bigC(B,B,A),bigC(D,D,C))) )],[refute_0_659,refute_0_669]) ).

cnf(refute_0_671,plain,
    ( product(product(B,D),product(product(A,B),product(C,D))) != product(bigC(B,B,A),bigC(D,D,C))
    | product(product(B,product(A,C)),bigC(D,D,B)) != product(product(B,D),product(product(A,B),product(C,D)))
    | product(product(B,product(A,C)),bigC(D,D,B)) = product(bigC(B,B,A),bigC(D,D,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(B,product(A,C)),bigC(D,D,B)),product(product(B,D),product(product(A,B),product(C,D)))) ),[1],$fot(product(bigC(B,B,A),bigC(D,D,C)))]]) ).

cnf(refute_0_672,plain,
    ( product(product(B,product(A,C)),bigC(D,D,B)) != product(product(B,D),product(product(A,B),product(C,D)))
    | product(product(B,product(A,C)),bigC(D,D,B)) = product(bigC(B,B,A),bigC(D,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(B,D),product(product(A,B),product(C,D))),product(bigC(B,B,A),bigC(D,D,C))) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    ( bigC(product(B,D),product(B,D),product(A,C)) != product(product(B,D),product(product(A,B),product(C,D)))
    | product(product(B,product(A,C)),bigC(D,D,B)) = product(bigC(B,B,A),bigC(D,D,C)) ),
    inference(resolve,[$cnf( $equal(product(product(B,product(A,C)),bigC(D,D,B)),product(product(B,D),product(product(A,B),product(C,D)))) )],[refute_0_654,refute_0_672]) ).

cnf(refute_0_674,plain,
    product(product(B,product(A,C)),bigC(D,D,B)) = product(bigC(B,B,A),bigC(D,D,C)),
    inference(resolve,[$cnf( $equal(bigC(product(B,D),product(B,D),product(A,C)),product(product(B,D),product(product(A,B),product(C,D)))) )],[refute_0_651,refute_0_673]) ).

cnf(refute_0_675,plain,
    product(product(b,product(a,b)),bigC(c,c,b)) = product(bigC(b,b,a),bigC(c,c,b)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_676,plain,
    bigC(product(b,c),product(b,c),product(a,b)) = product(product(b,product(a,b)),bigC(c,c,b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(product(a,b))),bind(C,$fot(c))]]) ).

cnf(refute_0_677,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != product(product(b,product(a,b)),bigC(c,c,b))
    | product(product(b,product(a,b)),bigC(c,c,b)) != product(bigC(b,b,a),bigC(c,c,b))
    | bigC(product(b,c),product(b,c),product(a,b)) = product(bigC(b,b,a),bigC(c,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),product(b,c),product(a,b)))),bind(Y,$fot(product(product(b,product(a,b)),bigC(c,c,b)))),bind(Z,$fot(product(bigC(b,b,a),bigC(c,c,b))))]]) ).

cnf(refute_0_678,plain,
    ( product(product(b,product(a,b)),bigC(c,c,b)) != product(bigC(b,b,a),bigC(c,c,b))
    | bigC(product(b,c),product(b,c),product(a,b)) = product(bigC(b,b,a),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),product(product(b,product(a,b)),bigC(c,c,b))) )],[refute_0_676,refute_0_677]) ).

cnf(refute_0_679,plain,
    bigC(product(b,c),product(b,c),product(a,b)) = product(bigC(b,b,a),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),bigC(c,c,b)),product(bigC(b,b,a),bigC(c,c,b))) )],[refute_0_675,refute_0_678]) ).

cnf(refute_0_680,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != product(bigC(b,b,a),bigC(c,c,b))
    | product(bigC(b,b,a),bigC(c,c,b)) != bigC(b,a,b)
    | bigC(product(b,c),product(b,c),product(a,b)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),product(b,c),product(a,b)))),bind(Y,$fot(product(bigC(b,b,a),bigC(c,c,b)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_681,plain,
    ( product(bigC(b,b,a),bigC(c,c,b)) != bigC(b,a,b)
    | bigC(product(b,c),product(b,c),product(a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),product(bigC(b,b,a),bigC(c,c,b))) )],[refute_0_679,refute_0_680]) ).

cnf(refute_0_682,plain,
    bigC(product(b,c),product(b,c),product(a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(c,c,b)),bigC(b,a,b)) )],[refute_0_647,refute_0_681]) ).

cnf(refute_0_683,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != bigC(b,a,b)
    | bigC(product(b,c),product(b,c),product(a,b)) != product(product(b,c),product(c,b))
    | bigC(b,a,b) = product(product(b,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),product(product(b,c),product(c,b))) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_684,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != product(product(b,c),product(c,b))
    | bigC(b,a,b) = product(product(b,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),bigC(b,a,b)) )],[refute_0_682,refute_0_683]) ).

cnf(refute_0_685,plain,
    product(product(b,c),product(c,b)) = bigC(b,c,c),
    inference(subst,[],[refute_0_8:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(c))]]) ).

cnf(refute_0_686,plain,
    ( bigC(b,a,b) != product(product(b,c),product(c,b))
    | product(product(b,c),product(c,b)) != bigC(b,c,c)
    | bigC(b,a,b) = bigC(b,c,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,b),bigC(b,c,c)) ),[0],$fot(product(product(b,c),product(c,b)))]]) ).

cnf(refute_0_687,plain,
    ( bigC(b,a,b) != product(product(b,c),product(c,b))
    | bigC(b,a,b) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,b)),bigC(b,c,c)) )],[refute_0_685,refute_0_686]) ).

cnf(refute_0_688,plain,
    ( bigC(product(b,c),product(b,c),product(a,b)) != product(product(b,c),product(c,b))
    | bigC(b,a,b) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),product(product(b,c),product(c,b))) )],[refute_0_684,refute_0_687]) ).

cnf(refute_0_689,plain,
    bigC(b,a,b) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),product(a,b)),product(product(b,c),product(c,b))) )],[refute_0_513,refute_0_688]) ).

cnf(refute_0_690,plain,
    ( bigC(b,a,b) != bigC(b,c,c)
    | bigC(b,c,c) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(bigC(b,c,c)))]]) ).

cnf(refute_0_691,plain,
    bigC(b,c,c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(b,c,c)) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(bigC(b,a,c),product(b,c)) != bigC(b,c,c)
    | product(bigC(b,a,c),product(b,c)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,c,c)) ),[1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_693,plain,
    ( product(bigC(b,a,c),product(b,c)) != bigC(b,c,c)
    | product(bigC(b,a,c),product(b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_691,refute_0_692]) ).

cnf(refute_0_694,plain,
    product(bigC(b,a,c),product(b,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,c,c)) )],[refute_0_502,refute_0_693]) ).

cnf(refute_0_695,plain,
    ( product(bigC(b,a,c),product(b,c)) != bigC(b,a,b)
    | quotient(product(bigC(b,a,c),product(b,c)),product(b,c)) != bigC(b,a,c)
    | quotient(bigC(b,a,b),product(b,c)) = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,a,c),product(b,c)),product(b,c)),bigC(b,a,c)) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_696,plain,
    ( quotient(product(bigC(b,a,c),product(b,c)),product(b,c)) != bigC(b,a,c)
    | quotient(bigC(b,a,b),product(b,c)) = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(b,c)),bigC(b,a,b)) )],[refute_0_694,refute_0_695]) ).

cnf(refute_0_697,plain,
    quotient(bigC(b,a,b),product(b,c)) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,a,c),product(b,c)),product(b,c)),bigC(b,a,c)) )],[refute_0_161,refute_0_696]) ).

cnf(refute_0_698,plain,
    quotient(bigC(b,a,b),difference(c,bigC(b,a,b))) = c,
    inference(subst,[],[refute_0_362:[bind(B,$fot(bigC(b,a,b))),bind(X_6,$fot(c))]]) ).

cnf(refute_0_699,plain,
    bigC(X_36,X_36,X_37) = bigC(X_36,X_37,X_36),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_36)),bind(B,$fot(X_36)),bind(C,$fot(X_37))]]) ).

cnf(refute_0_700,plain,
    ( bigC(X_36,X_36,X_37) != bigC(X_36,X_37,X_36)
    | difference(X_36,bigC(X_36,X_36,X_37)) != product(X_37,X_36)
    | difference(X_36,bigC(X_36,X_37,X_36)) = product(X_37,X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_36,bigC(X_36,X_36,X_37)),product(X_37,X_36)) ),[0,1],$fot(bigC(X_36,X_37,X_36))]]) ).

cnf(refute_0_701,plain,
    ( difference(X_36,bigC(X_36,X_36,X_37)) != product(X_37,X_36)
    | difference(X_36,bigC(X_36,X_37,X_36)) = product(X_37,X_36) ),
    inference(resolve,[$cnf( $equal(bigC(X_36,X_36,X_37),bigC(X_36,X_37,X_36)) )],[refute_0_699,refute_0_700]) ).

cnf(refute_0_702,plain,
    difference(X_36,bigC(X_36,X_37,X_36)) = product(X_37,X_36),
    inference(resolve,[$cnf( $equal(difference(X_36,bigC(X_36,X_36,X_37)),product(X_37,X_36)) )],[refute_0_456,refute_0_701]) ).

cnf(refute_0_703,plain,
    difference(c,bigC(c,b,c)) = product(b,c),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(c)),bind(X_37,$fot(b))]]) ).

cnf(refute_0_704,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(c,bigC(c,b,c)) != product(b,c)
    | difference(c,bigC(b,a,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(c,b,c)),product(b,c)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_705,plain,
    ( difference(c,bigC(c,b,c)) != product(b,c)
    | difference(c,bigC(b,a,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_704]) ).

cnf(refute_0_706,plain,
    difference(c,bigC(b,a,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,b,c)),product(b,c)) )],[refute_0_703,refute_0_705]) ).

cnf(refute_0_707,plain,
    ( difference(c,bigC(b,a,b)) != product(b,c)
    | quotient(bigC(b,a,b),difference(c,bigC(b,a,b))) != c
    | quotient(bigC(b,a,b),product(b,c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),difference(c,bigC(b,a,b))),c) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_708,plain,
    ( quotient(bigC(b,a,b),difference(c,bigC(b,a,b))) != c
    | quotient(bigC(b,a,b),product(b,c)) = c ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_707]) ).

cnf(refute_0_709,plain,
    quotient(bigC(b,a,b),product(b,c)) = c,
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),difference(c,bigC(b,a,b))),c) )],[refute_0_698,refute_0_708]) ).

cnf(refute_0_710,plain,
    ( quotient(bigC(b,a,b),product(b,c)) != bigC(b,a,c)
    | quotient(bigC(b,a,b),product(b,c)) != c
    | c = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(b,c)),bigC(b,a,c)) ),[0],$fot(c)]]) ).

cnf(refute_0_711,plain,
    ( quotient(bigC(b,a,b),product(b,c)) != bigC(b,a,c)
    | c = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(b,c)),c) )],[refute_0_709,refute_0_710]) ).

cnf(refute_0_712,plain,
    c = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(b,c)),bigC(b,a,c)) )],[refute_0_697,refute_0_711]) ).

cnf(refute_0_713,plain,
    ( c != bigC(b,a,c)
    | bigC(b,a,c) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_714,plain,
    bigC(b,a,c) = c,
    inference(resolve,[$cnf( $equal(c,bigC(b,a,c)) )],[refute_0_712,refute_0_713]) ).

cnf(refute_0_715,plain,
    product(product(a,X_78),bigC(b,a,c)) = product(product(a,X_78),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(product(a,X_78),bigC(b,a,c)))]]) ).

cnf(refute_0_716,plain,
    ( bigC(b,a,c) != c
    | product(product(a,X_78),bigC(b,a,c)) != product(product(a,X_78),bigC(b,a,c))
    | product(product(a,X_78),bigC(b,a,c)) = product(product(a,X_78),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_78),bigC(b,a,c)),product(product(a,X_78),bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_717,plain,
    ( bigC(b,a,c) != c
    | product(product(a,X_78),bigC(b,a,c)) = product(product(a,X_78),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_78),bigC(b,a,c)),product(product(a,X_78),bigC(b,a,c))) )],[refute_0_715,refute_0_716]) ).

cnf(refute_0_718,plain,
    product(product(a,X_78),bigC(b,a,c)) = product(product(a,X_78),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_717]) ).

cnf(refute_0_719,plain,
    quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))))]]) ).

cnf(refute_0_720,plain,
    ( product(product(a,X_78),bigC(b,a,c)) != product(product(a,X_78),c)
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) != quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b)))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = quotient(product(product(a,X_78),c),product(X_78,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b)))) ),[1,0],$fot(product(product(a,X_78),c))]]) ).

cnf(refute_0_721,plain,
    ( product(product(a,X_78),bigC(b,a,c)) != product(product(a,X_78),c)
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = quotient(product(product(a,X_78),c),product(X_78,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b)))) )],[refute_0_719,refute_0_720]) ).

cnf(refute_0_722,plain,
    quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) = quotient(product(product(a,X_78),c),product(X_78,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,X_78),bigC(b,a,c)),product(product(a,X_78),c)) )],[refute_0_718,refute_0_721]) ).

cnf(refute_0_723,plain,
    ( quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) != product(a,product(b,c))
    | quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) != quotient(product(product(a,X_78),c),product(X_78,product(a,b)))
    | quotient(product(product(a,X_78),c),product(X_78,product(a,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),product(a,product(b,c))) ),[0],$fot(quotient(product(product(a,X_78),c),product(X_78,product(a,b))))]]) ).

cnf(refute_0_724,plain,
    ( quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))) != product(a,product(b,c))
    | quotient(product(product(a,X_78),c),product(X_78,product(a,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),quotient(product(product(a,X_78),c),product(X_78,product(a,b)))) )],[refute_0_722,refute_0_723]) ).

cnf(refute_0_725,plain,
    quotient(product(product(a,X_78),c),product(X_78,product(a,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,X_78),bigC(b,a,c)),product(X_78,product(a,b))),product(a,product(b,c))) )],[refute_0_160,refute_0_724]) ).

cnf(refute_0_726,plain,
    quotient(product(product(a,difference(c,difference(b,c))),c),product(difference(c,difference(b,c)),product(a,b))) = product(a,product(b,c)),
    inference(subst,[],[refute_0_725:[bind(X_78,$fot(difference(c,difference(b,c))))]]) ).

cnf(refute_0_727,plain,
    quotient(bigC(X_76,X_77,X_76),product(X_76,X_76)) = product(X_76,X_77),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(X_76)),bind(X_22,$fot(X_77)),bind(X_23,$fot(X_76))]]) ).

cnf(refute_0_728,plain,
    product(X_76,X_76) = X_76,
    inference(subst,[],[sos06:[bind(A,$fot(X_76))]]) ).

cnf(refute_0_729,plain,
    ( product(X_76,X_76) != X_76
    | quotient(bigC(X_76,X_77,X_76),product(X_76,X_76)) != product(X_76,X_77)
    | quotient(bigC(X_76,X_77,X_76),X_76) = product(X_76,X_77) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(X_76,X_77,X_76),product(X_76,X_76)),product(X_76,X_77)) ),[0,1],$fot(X_76)]]) ).

cnf(refute_0_730,plain,
    ( quotient(bigC(X_76,X_77,X_76),product(X_76,X_76)) != product(X_76,X_77)
    | quotient(bigC(X_76,X_77,X_76),X_76) = product(X_76,X_77) ),
    inference(resolve,[$cnf( $equal(product(X_76,X_76),X_76) )],[refute_0_728,refute_0_729]) ).

cnf(refute_0_731,plain,
    quotient(bigC(X_76,X_77,X_76),X_76) = product(X_76,X_77),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_76,X_77,X_76),product(X_76,X_76)),product(X_76,X_77)) )],[refute_0_727,refute_0_730]) ).

cnf(refute_0_732,plain,
    quotient(bigC(X_79,X_80,X_79),X_79) = product(X_79,X_80),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(X_79)),bind(X_77,$fot(X_80))]]) ).

cnf(refute_0_733,plain,
    bigC(X_79,X_79,X_80) = bigC(X_79,X_80,X_79),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_79)),bind(B,$fot(X_79)),bind(C,$fot(X_80))]]) ).

cnf(refute_0_734,plain,
    ( bigC(X_79,X_79,X_80) != bigC(X_79,X_80,X_79)
    | bigC(X_79,X_80,X_79) = bigC(X_79,X_79,X_80) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_79,X_79,X_80))),bind(Y,$fot(bigC(X_79,X_80,X_79)))]]) ).

cnf(refute_0_735,plain,
    bigC(X_79,X_80,X_79) = bigC(X_79,X_79,X_80),
    inference(resolve,[$cnf( $equal(bigC(X_79,X_79,X_80),bigC(X_79,X_80,X_79)) )],[refute_0_733,refute_0_734]) ).

cnf(refute_0_736,plain,
    ( bigC(X_79,X_80,X_79) != bigC(X_79,X_79,X_80)
    | quotient(bigC(X_79,X_80,X_79),X_79) != product(X_79,X_80)
    | quotient(bigC(X_79,X_79,X_80),X_79) = product(X_79,X_80) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(X_79,X_80,X_79),X_79),product(X_79,X_80)) ),[0,0],$fot(bigC(X_79,X_79,X_80))]]) ).

cnf(refute_0_737,plain,
    ( quotient(bigC(X_79,X_80,X_79),X_79) != product(X_79,X_80)
    | quotient(bigC(X_79,X_79,X_80),X_79) = product(X_79,X_80) ),
    inference(resolve,[$cnf( $equal(bigC(X_79,X_80,X_79),bigC(X_79,X_79,X_80)) )],[refute_0_735,refute_0_736]) ).

cnf(refute_0_738,plain,
    quotient(bigC(X_79,X_79,X_80),X_79) = product(X_79,X_80),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_79,X_80,X_79),X_79),product(X_79,X_80)) )],[refute_0_732,refute_0_737]) ).

cnf(refute_0_739,plain,
    quotient(bigC(a,a,difference(c,difference(b,c))),a) = product(a,difference(c,difference(b,c))),
    inference(subst,[],[refute_0_738:[bind(X_79,$fot(a)),bind(X_80,$fot(difference(c,difference(b,c))))]]) ).

cnf(refute_0_740,plain,
    bigC(quotient(difference(b,c),a),a,c) = product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))),
    inference(subst,[],[sos08:[bind(A,$fot(quotient(difference(b,c),a))),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_741,plain,
    bigC(difference(c,difference(product(c,a),a)),a,c) = product(product(difference(c,difference(product(c,a),a)),a),difference(product(c,a),a)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(difference(product(c,a),a))),bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_742,plain,
    quotient(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),quotient(c,a)) = product(difference(c,difference(product(c,a),a)),a),
    inference(subst,[],[sos03:[bind(A,$fot(product(difference(c,difference(product(c,a),a)),a))),bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_743,plain,
    product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))) = difference(c,product(a,product(c,b))),
    inference(subst,[],[sos02:[bind(A,$fot(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))))),bind(B,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_744,plain,
    difference(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15)))) = product(X_16,product(X_16,X_15)),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(X_15,X_16),X_16))),bind(B,$fot(product(X_16,product(X_16,X_15))))]]) ).

cnf(refute_0_745,plain,
    ( difference(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15)))) != product(X_16,product(X_16,X_15))
    | product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))) != X_16
    | difference(product(product(X_15,X_16),X_16),X_16) = product(X_16,product(X_16,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15)))),product(X_16,product(X_16,X_15))) ),[0,1],$fot(X_16)]]) ).

cnf(refute_0_746,plain,
    ( difference(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15)))) != product(X_16,product(X_16,X_15))
    | difference(product(product(X_15,X_16),X_16),X_16) = product(X_16,product(X_16,X_15)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15))),X_16) )],[refute_0_30,refute_0_745]) ).

cnf(refute_0_747,plain,
    difference(product(product(X_15,X_16),X_16),X_16) = product(X_16,product(X_16,X_15)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_15,X_16),X_16),product(product(product(X_15,X_16),X_16),product(X_16,product(X_16,X_15)))),product(X_16,product(X_16,X_15))) )],[refute_0_744,refute_0_746]) ).

cnf(refute_0_748,plain,
    difference(product(product(product(difference(X_34,B),X_34),X_34),X_34),X_34) = product(X_34,product(X_34,product(difference(X_34,B),X_34))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(difference(X_34,B),X_34))),bind(X_16,$fot(X_34))]]) ).

cnf(refute_0_749,plain,
    quotient(X_18,product(X_18,product(X_18,difference(X_18,B)))) = product(product(difference(X_18,B),X_18),X_18),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(difference(X_18,B))),bind(X_16,$fot(X_18))]]) ).

cnf(refute_0_750,plain,
    product(X_18,difference(X_18,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_18))]]) ).

cnf(refute_0_751,plain,
    ( product(X_18,difference(X_18,B)) != B
    | quotient(X_18,product(X_18,product(X_18,difference(X_18,B)))) != product(product(difference(X_18,B),X_18),X_18)
    | quotient(X_18,product(X_18,B)) = product(product(difference(X_18,B),X_18),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(X_18,product(X_18,product(X_18,difference(X_18,B)))),product(product(difference(X_18,B),X_18),X_18)) ),[0,1,1],$fot(B)]]) ).

cnf(refute_0_752,plain,
    ( quotient(X_18,product(X_18,product(X_18,difference(X_18,B)))) != product(product(difference(X_18,B),X_18),X_18)
    | quotient(X_18,product(X_18,B)) = product(product(difference(X_18,B),X_18),X_18) ),
    inference(resolve,[$cnf( $equal(product(X_18,difference(X_18,B)),B) )],[refute_0_750,refute_0_751]) ).

cnf(refute_0_753,plain,
    quotient(X_18,product(X_18,B)) = product(product(difference(X_18,B),X_18),X_18),
    inference(resolve,[$cnf( $equal(quotient(X_18,product(X_18,product(X_18,difference(X_18,B)))),product(product(difference(X_18,B),X_18),X_18)) )],[refute_0_749,refute_0_752]) ).

cnf(refute_0_754,plain,
    quotient(X_34,product(X_34,B)) = product(product(difference(X_34,B),X_34),X_34),
    inference(subst,[],[refute_0_753:[bind(X_18,$fot(X_34))]]) ).

cnf(refute_0_755,plain,
    ( quotient(X_34,product(X_34,B)) != product(product(difference(X_34,B),X_34),X_34)
    | product(product(difference(X_34,B),X_34),X_34) = quotient(X_34,product(X_34,B)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(X_34,product(X_34,B)))),bind(Y,$fot(product(product(difference(X_34,B),X_34),X_34)))]]) ).

cnf(refute_0_756,plain,
    product(product(difference(X_34,B),X_34),X_34) = quotient(X_34,product(X_34,B)),
    inference(resolve,[$cnf( $equal(quotient(X_34,product(X_34,B)),product(product(difference(X_34,B),X_34),X_34)) )],[refute_0_754,refute_0_755]) ).

cnf(refute_0_757,plain,
    ( difference(product(product(product(difference(X_34,B),X_34),X_34),X_34),X_34) != product(X_34,product(X_34,product(difference(X_34,B),X_34)))
    | product(product(difference(X_34,B),X_34),X_34) != quotient(X_34,product(X_34,B))
    | difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = product(X_34,product(X_34,product(difference(X_34,B),X_34))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(difference(X_34,B),X_34),X_34),X_34),X_34),product(X_34,product(X_34,product(difference(X_34,B),X_34)))) ),[0,0,0],$fot(quotient(X_34,product(X_34,B)))]]) ).

cnf(refute_0_758,plain,
    ( difference(product(product(product(difference(X_34,B),X_34),X_34),X_34),X_34) != product(X_34,product(X_34,product(difference(X_34,B),X_34)))
    | difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = product(X_34,product(X_34,product(difference(X_34,B),X_34))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_34,B),X_34),X_34),quotient(X_34,product(X_34,B))) )],[refute_0_756,refute_0_757]) ).

cnf(refute_0_759,plain,
    difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = product(X_34,product(X_34,product(difference(X_34,B),X_34))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(difference(X_34,B),X_34),X_34),X_34),X_34),product(X_34,product(X_34,product(difference(X_34,B),X_34)))) )],[refute_0_748,refute_0_758]) ).

cnf(refute_0_760,plain,
    product(X_34,product(difference(X_34,B),X_34)) = bigC(X_34,X_34,difference(X_34,B)),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(X_34)),bind(X_23,$fot(difference(X_34,B)))]]) ).

cnf(refute_0_761,plain,
    product(X_34,product(X_34,product(difference(X_34,B),X_34))) = product(X_34,product(X_34,product(difference(X_34,B),X_34))),
    introduced(tautology,[refl,[$fot(product(X_34,product(X_34,product(difference(X_34,B),X_34))))]]) ).

cnf(refute_0_762,plain,
    ( product(X_34,product(X_34,product(difference(X_34,B),X_34))) != product(X_34,product(X_34,product(difference(X_34,B),X_34)))
    | product(X_34,product(difference(X_34,B),X_34)) != bigC(X_34,X_34,difference(X_34,B))
    | product(X_34,product(X_34,product(difference(X_34,B),X_34))) = product(X_34,bigC(X_34,X_34,difference(X_34,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_34,product(X_34,product(difference(X_34,B),X_34))),product(X_34,product(X_34,product(difference(X_34,B),X_34)))) ),[1,1],$fot(bigC(X_34,X_34,difference(X_34,B)))]]) ).

cnf(refute_0_763,plain,
    ( product(X_34,product(difference(X_34,B),X_34)) != bigC(X_34,X_34,difference(X_34,B))
    | product(X_34,product(X_34,product(difference(X_34,B),X_34))) = product(X_34,bigC(X_34,X_34,difference(X_34,B))) ),
    inference(resolve,[$cnf( $equal(product(X_34,product(X_34,product(difference(X_34,B),X_34))),product(X_34,product(X_34,product(difference(X_34,B),X_34)))) )],[refute_0_761,refute_0_762]) ).

cnf(refute_0_764,plain,
    product(X_34,product(X_34,product(difference(X_34,B),X_34))) = product(X_34,bigC(X_34,X_34,difference(X_34,B))),
    inference(resolve,[$cnf( $equal(product(X_34,product(difference(X_34,B),X_34)),bigC(X_34,X_34,difference(X_34,B))) )],[refute_0_760,refute_0_763]) ).

cnf(refute_0_765,plain,
    ( difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) != product(X_34,product(X_34,product(difference(X_34,B),X_34)))
    | product(X_34,product(X_34,product(difference(X_34,B),X_34))) != product(X_34,bigC(X_34,X_34,difference(X_34,B)))
    | difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = product(X_34,bigC(X_34,X_34,difference(X_34,B))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(quotient(X_34,product(X_34,B)),X_34),X_34),product(X_34,bigC(X_34,X_34,difference(X_34,B)))) ),[0],$fot(product(X_34,product(X_34,product(difference(X_34,B),X_34))))]]) ).

cnf(refute_0_766,plain,
    ( difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) != product(X_34,product(X_34,product(difference(X_34,B),X_34)))
    | difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = product(X_34,bigC(X_34,X_34,difference(X_34,B))) ),
    inference(resolve,[$cnf( $equal(product(X_34,product(X_34,product(difference(X_34,B),X_34))),product(X_34,bigC(X_34,X_34,difference(X_34,B)))) )],[refute_0_764,refute_0_765]) ).

cnf(refute_0_767,plain,
    difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = product(X_34,bigC(X_34,X_34,difference(X_34,B))),
    inference(resolve,[$cnf( $equal(difference(product(quotient(X_34,product(X_34,B)),X_34),X_34),product(X_34,product(X_34,product(difference(X_34,B),X_34)))) )],[refute_0_759,refute_0_766]) ).

cnf(refute_0_768,plain,
    product(X_34,product(B,X_34)) = bigC(X_34,X_34,B),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(X_34)),bind(X_23,$fot(B))]]) ).

cnf(refute_0_769,plain,
    product(X_34,X_34) = X_34,
    inference(subst,[],[sos06:[bind(A,$fot(X_34))]]) ).

cnf(refute_0_770,plain,
    product(B,product(X_34,X_34)) = product(B,product(X_34,X_34)),
    introduced(tautology,[refl,[$fot(product(B,product(X_34,X_34)))]]) ).

cnf(refute_0_771,plain,
    ( product(B,product(X_34,X_34)) != product(B,product(X_34,X_34))
    | product(X_34,X_34) != X_34
    | product(B,product(X_34,X_34)) = product(B,X_34) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,product(X_34,X_34)),product(B,product(X_34,X_34))) ),[1,1],$fot(X_34)]]) ).

cnf(refute_0_772,plain,
    ( product(X_34,X_34) != X_34
    | product(B,product(X_34,X_34)) = product(B,X_34) ),
    inference(resolve,[$cnf( $equal(product(B,product(X_34,X_34)),product(B,product(X_34,X_34))) )],[refute_0_770,refute_0_771]) ).

cnf(refute_0_773,plain,
    product(B,product(X_34,X_34)) = product(B,X_34),
    inference(resolve,[$cnf( $equal(product(X_34,X_34),X_34) )],[refute_0_769,refute_0_772]) ).

cnf(refute_0_774,plain,
    bigC(X_21,difference(X_21,B),X_23) = bigC(X_21,X_23,difference(X_21,B)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_21)),bind(B,$fot(difference(X_21,B))),bind(C,$fot(X_23))]]) ).

cnf(refute_0_775,plain,
    ( bigC(X_21,difference(X_21,B),X_23) != bigC(X_21,X_23,difference(X_21,B))
    | bigC(X_21,difference(X_21,B),X_23) != product(B,product(X_23,X_21))
    | bigC(X_21,X_23,difference(X_21,B)) = product(B,product(X_23,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,difference(X_21,B),X_23),product(B,product(X_23,X_21))) ),[0],$fot(bigC(X_21,X_23,difference(X_21,B)))]]) ).

cnf(refute_0_776,plain,
    ( bigC(X_21,difference(X_21,B),X_23) != product(B,product(X_23,X_21))
    | bigC(X_21,X_23,difference(X_21,B)) = product(B,product(X_23,X_21)) ),
    inference(resolve,[$cnf( $equal(bigC(X_21,difference(X_21,B),X_23),bigC(X_21,X_23,difference(X_21,B))) )],[refute_0_774,refute_0_775]) ).

cnf(refute_0_777,plain,
    bigC(X_21,X_23,difference(X_21,B)) = product(B,product(X_23,X_21)),
    inference(resolve,[$cnf( $equal(bigC(X_21,difference(X_21,B),X_23),product(B,product(X_23,X_21))) )],[refute_0_84,refute_0_776]) ).

cnf(refute_0_778,plain,
    bigC(X_34,X_34,difference(X_34,B)) = product(B,product(X_34,X_34)),
    inference(subst,[],[refute_0_777:[bind(X_21,$fot(X_34)),bind(X_23,$fot(X_34))]]) ).

cnf(refute_0_779,plain,
    ( bigC(X_34,X_34,difference(X_34,B)) != product(B,product(X_34,X_34))
    | product(B,product(X_34,X_34)) != product(B,X_34)
    | bigC(X_34,X_34,difference(X_34,B)) = product(B,X_34) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(X_34,X_34,difference(X_34,B)))),bind(Y,$fot(product(B,product(X_34,X_34)))),bind(Z,$fot(product(B,X_34)))]]) ).

cnf(refute_0_780,plain,
    ( product(B,product(X_34,X_34)) != product(B,X_34)
    | bigC(X_34,X_34,difference(X_34,B)) = product(B,X_34) ),
    inference(resolve,[$cnf( $equal(bigC(X_34,X_34,difference(X_34,B)),product(B,product(X_34,X_34))) )],[refute_0_778,refute_0_779]) ).

cnf(refute_0_781,plain,
    bigC(X_34,X_34,difference(X_34,B)) = product(B,X_34),
    inference(resolve,[$cnf( $equal(product(B,product(X_34,X_34)),product(B,X_34)) )],[refute_0_773,refute_0_780]) ).

cnf(refute_0_782,plain,
    product(X_34,bigC(X_34,X_34,difference(X_34,B))) = product(X_34,bigC(X_34,X_34,difference(X_34,B))),
    introduced(tautology,[refl,[$fot(product(X_34,bigC(X_34,X_34,difference(X_34,B))))]]) ).

cnf(refute_0_783,plain,
    ( bigC(X_34,X_34,difference(X_34,B)) != product(B,X_34)
    | product(X_34,bigC(X_34,X_34,difference(X_34,B))) != product(X_34,bigC(X_34,X_34,difference(X_34,B)))
    | product(X_34,bigC(X_34,X_34,difference(X_34,B))) = product(X_34,product(B,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_34,bigC(X_34,X_34,difference(X_34,B))),product(X_34,bigC(X_34,X_34,difference(X_34,B)))) ),[1,1],$fot(product(B,X_34))]]) ).

cnf(refute_0_784,plain,
    ( bigC(X_34,X_34,difference(X_34,B)) != product(B,X_34)
    | product(X_34,bigC(X_34,X_34,difference(X_34,B))) = product(X_34,product(B,X_34)) ),
    inference(resolve,[$cnf( $equal(product(X_34,bigC(X_34,X_34,difference(X_34,B))),product(X_34,bigC(X_34,X_34,difference(X_34,B)))) )],[refute_0_782,refute_0_783]) ).

cnf(refute_0_785,plain,
    product(X_34,bigC(X_34,X_34,difference(X_34,B))) = product(X_34,product(B,X_34)),
    inference(resolve,[$cnf( $equal(bigC(X_34,X_34,difference(X_34,B)),product(B,X_34)) )],[refute_0_781,refute_0_784]) ).

cnf(refute_0_786,plain,
    ( product(X_34,bigC(X_34,X_34,difference(X_34,B))) != product(X_34,product(B,X_34))
    | product(X_34,product(B,X_34)) != bigC(X_34,X_34,B)
    | product(X_34,bigC(X_34,X_34,difference(X_34,B))) = bigC(X_34,X_34,B) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(X_34,bigC(X_34,X_34,difference(X_34,B))))),bind(Y,$fot(product(X_34,product(B,X_34)))),bind(Z,$fot(bigC(X_34,X_34,B)))]]) ).

cnf(refute_0_787,plain,
    ( product(X_34,product(B,X_34)) != bigC(X_34,X_34,B)
    | product(X_34,bigC(X_34,X_34,difference(X_34,B))) = bigC(X_34,X_34,B) ),
    inference(resolve,[$cnf( $equal(product(X_34,bigC(X_34,X_34,difference(X_34,B))),product(X_34,product(B,X_34))) )],[refute_0_785,refute_0_786]) ).

cnf(refute_0_788,plain,
    product(X_34,bigC(X_34,X_34,difference(X_34,B))) = bigC(X_34,X_34,B),
    inference(resolve,[$cnf( $equal(product(X_34,product(B,X_34)),bigC(X_34,X_34,B)) )],[refute_0_768,refute_0_787]) ).

cnf(refute_0_789,plain,
    ( difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) != product(X_34,bigC(X_34,X_34,difference(X_34,B)))
    | product(X_34,bigC(X_34,X_34,difference(X_34,B))) != bigC(X_34,X_34,B)
    | difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = bigC(X_34,X_34,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(quotient(X_34,product(X_34,B)),X_34),X_34),bigC(X_34,X_34,B)) ),[0],$fot(product(X_34,bigC(X_34,X_34,difference(X_34,B))))]]) ).

cnf(refute_0_790,plain,
    ( difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) != product(X_34,bigC(X_34,X_34,difference(X_34,B)))
    | difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = bigC(X_34,X_34,B) ),
    inference(resolve,[$cnf( $equal(product(X_34,bigC(X_34,X_34,difference(X_34,B))),bigC(X_34,X_34,B)) )],[refute_0_788,refute_0_789]) ).

cnf(refute_0_791,plain,
    difference(product(quotient(X_34,product(X_34,B)),X_34),X_34) = bigC(X_34,X_34,B),
    inference(resolve,[$cnf( $equal(difference(product(quotient(X_34,product(X_34,B)),X_34),X_34),product(X_34,bigC(X_34,X_34,difference(X_34,B)))) )],[refute_0_767,refute_0_790]) ).

cnf(refute_0_792,plain,
    difference(product(quotient(difference(c,product(a,product(c,b))),product(difference(c,product(a,product(c,b))),product(a,quotient(a,c)))),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))),
    inference(subst,[],[refute_0_791:[bind(B,$fot(product(a,quotient(a,c)))),bind(X_34,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_793,plain,
    product(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c))) = c,
    inference(subst,[],[sos04:[bind(A,$fot(c)),bind(B,$fot(product(a,quotient(a,c))))]]) ).

cnf(refute_0_794,plain,
    quotient(product(product(difference(B,X_29),B),B),B) = product(difference(B,X_29),B),
    inference(subst,[],[sos03:[bind(A,$fot(product(difference(B,X_29),B)))]]) ).

cnf(refute_0_795,plain,
    quotient(B,product(B,X_29)) = product(product(difference(B,X_29),B),B),
    inference(subst,[],[refute_0_753:[bind(B,$fot(X_29)),bind(X_18,$fot(B))]]) ).

cnf(refute_0_796,plain,
    ( quotient(B,product(B,X_29)) != product(product(difference(B,X_29),B),B)
    | product(product(difference(B,X_29),B),B) = quotient(B,product(B,X_29)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(B,product(B,X_29)))),bind(Y,$fot(product(product(difference(B,X_29),B),B)))]]) ).

cnf(refute_0_797,plain,
    product(product(difference(B,X_29),B),B) = quotient(B,product(B,X_29)),
    inference(resolve,[$cnf( $equal(quotient(B,product(B,X_29)),product(product(difference(B,X_29),B),B)) )],[refute_0_795,refute_0_796]) ).

cnf(refute_0_798,plain,
    ( product(product(difference(B,X_29),B),B) != quotient(B,product(B,X_29))
    | quotient(product(product(difference(B,X_29),B),B),B) != product(difference(B,X_29),B)
    | quotient(quotient(B,product(B,X_29)),B) = product(difference(B,X_29),B) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(difference(B,X_29),B),B),B),product(difference(B,X_29),B)) ),[0,0],$fot(quotient(B,product(B,X_29)))]]) ).

cnf(refute_0_799,plain,
    ( quotient(product(product(difference(B,X_29),B),B),B) != product(difference(B,X_29),B)
    | quotient(quotient(B,product(B,X_29)),B) = product(difference(B,X_29),B) ),
    inference(resolve,[$cnf( $equal(product(product(difference(B,X_29),B),B),quotient(B,product(B,X_29))) )],[refute_0_797,refute_0_798]) ).

cnf(refute_0_800,plain,
    quotient(quotient(B,product(B,X_29)),B) = product(difference(B,X_29),B),
    inference(resolve,[$cnf( $equal(quotient(product(product(difference(B,X_29),B),B),B),product(difference(B,X_29),B)) )],[refute_0_794,refute_0_799]) ).

cnf(refute_0_801,plain,
    difference(X_74,bigC(X_74,difference(X_74,B),X_74)) = product(difference(X_74,B),X_74),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(X_74)),bind(X_37,$fot(difference(X_74,B)))]]) ).

cnf(refute_0_802,plain,
    bigC(X_74,difference(X_74,B),X_74) = product(B,product(X_74,X_74)),
    inference(subst,[],[refute_0_84:[bind(X_21,$fot(X_74)),bind(X_23,$fot(X_74))]]) ).

cnf(refute_0_803,plain,
    ( bigC(X_74,difference(X_74,B),X_74) != product(B,product(X_74,X_74))
    | difference(X_74,bigC(X_74,difference(X_74,B),X_74)) != product(difference(X_74,B),X_74)
    | difference(X_74,product(B,product(X_74,X_74))) = product(difference(X_74,B),X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_74,bigC(X_74,difference(X_74,B),X_74)),product(difference(X_74,B),X_74)) ),[0,1],$fot(product(B,product(X_74,X_74)))]]) ).

cnf(refute_0_804,plain,
    ( difference(X_74,bigC(X_74,difference(X_74,B),X_74)) != product(difference(X_74,B),X_74)
    | difference(X_74,product(B,product(X_74,X_74))) = product(difference(X_74,B),X_74) ),
    inference(resolve,[$cnf( $equal(bigC(X_74,difference(X_74,B),X_74),product(B,product(X_74,X_74))) )],[refute_0_802,refute_0_803]) ).

cnf(refute_0_805,plain,
    difference(X_74,product(B,product(X_74,X_74))) = product(difference(X_74,B),X_74),
    inference(resolve,[$cnf( $equal(difference(X_74,bigC(X_74,difference(X_74,B),X_74)),product(difference(X_74,B),X_74)) )],[refute_0_801,refute_0_804]) ).

cnf(refute_0_806,plain,
    product(X_74,X_74) = X_74,
    inference(subst,[],[sos06:[bind(A,$fot(X_74))]]) ).

cnf(refute_0_807,plain,
    product(B,product(X_74,X_74)) = product(B,product(X_74,X_74)),
    introduced(tautology,[refl,[$fot(product(B,product(X_74,X_74)))]]) ).

cnf(refute_0_808,plain,
    ( product(B,product(X_74,X_74)) != product(B,product(X_74,X_74))
    | product(X_74,X_74) != X_74
    | product(B,product(X_74,X_74)) = product(B,X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,product(X_74,X_74)),product(B,product(X_74,X_74))) ),[1,1],$fot(X_74)]]) ).

cnf(refute_0_809,plain,
    ( product(X_74,X_74) != X_74
    | product(B,product(X_74,X_74)) = product(B,X_74) ),
    inference(resolve,[$cnf( $equal(product(B,product(X_74,X_74)),product(B,product(X_74,X_74))) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    product(B,product(X_74,X_74)) = product(B,X_74),
    inference(resolve,[$cnf( $equal(product(X_74,X_74),X_74) )],[refute_0_806,refute_0_809]) ).

cnf(refute_0_811,plain,
    difference(X_74,product(B,product(X_74,X_74))) = difference(X_74,product(B,product(X_74,X_74))),
    introduced(tautology,[refl,[$fot(difference(X_74,product(B,product(X_74,X_74))))]]) ).

cnf(refute_0_812,plain,
    ( difference(X_74,product(B,product(X_74,X_74))) != difference(X_74,product(B,product(X_74,X_74)))
    | product(B,product(X_74,X_74)) != product(B,X_74)
    | difference(X_74,product(B,product(X_74,X_74))) = difference(X_74,product(B,X_74)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_74,product(B,product(X_74,X_74))),difference(X_74,product(B,product(X_74,X_74)))) ),[1,1],$fot(product(B,X_74))]]) ).

cnf(refute_0_813,plain,
    ( product(B,product(X_74,X_74)) != product(B,X_74)
    | difference(X_74,product(B,product(X_74,X_74))) = difference(X_74,product(B,X_74)) ),
    inference(resolve,[$cnf( $equal(difference(X_74,product(B,product(X_74,X_74))),difference(X_74,product(B,product(X_74,X_74)))) )],[refute_0_811,refute_0_812]) ).

cnf(refute_0_814,plain,
    difference(X_74,product(B,product(X_74,X_74))) = difference(X_74,product(B,X_74)),
    inference(resolve,[$cnf( $equal(product(B,product(X_74,X_74)),product(B,X_74)) )],[refute_0_810,refute_0_813]) ).

cnf(refute_0_815,plain,
    ( difference(X_74,product(B,product(X_74,X_74))) != difference(X_74,product(B,X_74))
    | difference(X_74,product(B,product(X_74,X_74))) != product(difference(X_74,B),X_74)
    | difference(X_74,product(B,X_74)) = product(difference(X_74,B),X_74) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_74,product(B,product(X_74,X_74))),product(difference(X_74,B),X_74)) ),[0],$fot(difference(X_74,product(B,X_74)))]]) ).

cnf(refute_0_816,plain,
    ( difference(X_74,product(B,product(X_74,X_74))) != product(difference(X_74,B),X_74)
    | difference(X_74,product(B,X_74)) = product(difference(X_74,B),X_74) ),
    inference(resolve,[$cnf( $equal(difference(X_74,product(B,product(X_74,X_74))),difference(X_74,product(B,X_74))) )],[refute_0_814,refute_0_815]) ).

cnf(refute_0_817,plain,
    difference(X_74,product(B,X_74)) = product(difference(X_74,B),X_74),
    inference(resolve,[$cnf( $equal(difference(X_74,product(B,product(X_74,X_74))),product(difference(X_74,B),X_74)) )],[refute_0_805,refute_0_816]) ).

cnf(refute_0_818,plain,
    ( difference(X_74,product(B,X_74)) != product(difference(X_74,B),X_74)
    | product(difference(X_74,B),X_74) = difference(X_74,product(B,X_74)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(X_74,product(B,X_74)))),bind(Y,$fot(product(difference(X_74,B),X_74)))]]) ).

cnf(refute_0_819,plain,
    product(difference(X_74,B),X_74) = difference(X_74,product(B,X_74)),
    inference(resolve,[$cnf( $equal(difference(X_74,product(B,X_74)),product(difference(X_74,B),X_74)) )],[refute_0_817,refute_0_818]) ).

cnf(refute_0_820,plain,
    product(difference(B,X_29),B) = difference(B,product(X_29,B)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(X_29)),bind(X_74,$fot(B))]]) ).

cnf(refute_0_821,plain,
    ( product(difference(B,X_29),B) != difference(B,product(X_29,B))
    | quotient(quotient(B,product(B,X_29)),B) != product(difference(B,X_29),B)
    | quotient(quotient(B,product(B,X_29)),B) = difference(B,product(X_29,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(B,product(B,X_29)),B),product(difference(B,X_29),B)) ),[1],$fot(difference(B,product(X_29,B)))]]) ).

cnf(refute_0_822,plain,
    ( quotient(quotient(B,product(B,X_29)),B) != product(difference(B,X_29),B)
    | quotient(quotient(B,product(B,X_29)),B) = difference(B,product(X_29,B)) ),
    inference(resolve,[$cnf( $equal(product(difference(B,X_29),B),difference(B,product(X_29,B))) )],[refute_0_820,refute_0_821]) ).

cnf(refute_0_823,plain,
    quotient(quotient(B,product(B,X_29)),B) = difference(B,product(X_29,B)),
    inference(resolve,[$cnf( $equal(quotient(quotient(B,product(B,X_29)),B),product(difference(B,X_29),B)) )],[refute_0_800,refute_0_822]) ).

cnf(refute_0_824,plain,
    quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(product(difference(quotient(c,b),quotient(a,c)),c)))]]) ).

cnf(refute_0_825,plain,
    difference(product(c,product(a,c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) = product(product(difference(quotient(c,b),quotient(a,c)),c),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(product(a,c))),bind(X_23,$fot(product(difference(quotient(c,b),quotient(a,c)),c)))]]) ).

cnf(refute_0_826,plain,
    bigC(product(a,b),product(c,a),C) = bigC(product(a,b),C,product(c,a)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(product(a,b))),bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_827,plain,
    bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(product(product(a,b),B),product(product(bigC(c,b,a),a),product(a,b))),
    inference(subst,[],[sos08:[bind(A,$fot(product(a,b))),bind(C,$fot(product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_828,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(product(product(a,b),B),product(product(bigC(c,b,a),a),product(a,b)))
    | product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(product(product(a,b),B),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),product(product(product(a,b),B),product(product(bigC(c,b,a),a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_829,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(product(product(a,b),B),product(product(bigC(c,b,a),a),product(a,b)))
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(product(product(a,b),B),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_828]) ).

cnf(refute_0_830,plain,
    bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(product(product(a,b),B),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),product(product(product(a,b),B),product(product(bigC(c,b,a),a),product(a,b)))) )],[refute_0_827,refute_0_829]) ).

cnf(refute_0_831,plain,
    bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(X_43,product(product(bigC(c,b,a),a),product(a,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(X_43)),bind(X_21,$fot(product(a,b))),bind(X_23,$fot(product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_832,plain,
    ( bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(X_43,product(product(bigC(c,b,a),a),product(a,b)))
    | product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(X_43,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(X_43,product(product(bigC(c,b,a),a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_833,plain,
    ( bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(X_43,product(product(bigC(c,b,a),a),product(a,b)))
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(X_43,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_832]) ).

cnf(refute_0_834,plain,
    bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(X_43,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(X_43,product(product(bigC(c,b,a),a),product(a,b)))) )],[refute_0_831,refute_0_833]) ).

cnf(refute_0_835,plain,
    product(product(a,b),a) = bigC(a,b,a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_836,plain,
    product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) = product(product(product(a,b),a),product(difference(product(a,b),X_43),c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(difference(product(a,b),X_43),c)))]]) ).

cnf(refute_0_837,plain,
    ( product(product(a,b),a) != bigC(a,b,a)
    | product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) != product(product(product(a,b),a),product(difference(product(a,b),X_43),c))
    | product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(difference(product(a,b),X_43),c)),product(product(product(a,b),a),product(difference(product(a,b),X_43),c))) ),[1,0],$fot(bigC(a,b,a))]]) ).

cnf(refute_0_838,plain,
    ( product(product(a,b),a) != bigC(a,b,a)
    | product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(difference(product(a,b),X_43),c)),product(product(product(a,b),a),product(difference(product(a,b),X_43),c))) )],[refute_0_836,refute_0_837]) ).

cnf(refute_0_839,plain,
    product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,b,a)) )],[refute_0_835,refute_0_838]) ).

cnf(refute_0_840,plain,
    product(product(product(a,b),difference(product(a,b),X_43)),product(a,c)) = product(product(product(a,b),a),product(difference(product(a,b),X_43),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(a)),bind(C,$fot(difference(product(a,b),X_43))),bind(D,$fot(c))]]) ).

cnf(refute_0_841,plain,
    bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(product(product(a,b),difference(product(a,b),X_43)),product(a,c)),
    inference(subst,[],[refute_0_830:[bind(B,$fot(difference(product(a,b),X_43)))]]) ).

cnf(refute_0_842,plain,
    ( bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(product(product(a,b),difference(product(a,b),X_43)),product(a,c))
    | product(product(product(a,b),difference(product(a,b),X_43)),product(a,c)) != product(product(product(a,b),a),product(difference(product(a,b),X_43),c))
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)))),bind(Y,$fot(product(product(product(a,b),difference(product(a,b),X_43)),product(a,c)))),bind(Z,$fot(product(product(product(a,b),a),product(difference(product(a,b),X_43),c))))]]) ).

cnf(refute_0_843,plain,
    ( product(product(product(a,b),difference(product(a,b),X_43)),product(a,c)) != product(product(product(a,b),a),product(difference(product(a,b),X_43),c))
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(product(product(a,b),difference(product(a,b),X_43)),product(a,c))) )],[refute_0_841,refute_0_842]) ).

cnf(refute_0_844,plain,
    bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(product(product(a,b),a),product(difference(product(a,b),X_43),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),difference(product(a,b),X_43)),product(a,c)),product(product(product(a,b),a),product(difference(product(a,b),X_43),c))) )],[refute_0_840,refute_0_843]) ).

cnf(refute_0_845,plain,
    ( bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(product(product(a,b),a),product(difference(product(a,b),X_43),c))
    | product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) != product(bigC(a,b,a),product(difference(product(a,b),X_43),c))
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)))),bind(Y,$fot(product(product(product(a,b),a),product(difference(product(a,b),X_43),c)))),bind(Z,$fot(product(bigC(a,b,a),product(difference(product(a,b),X_43),c))))]]) ).

cnf(refute_0_846,plain,
    ( product(product(product(a,b),a),product(difference(product(a,b),X_43),c)) != product(bigC(a,b,a),product(difference(product(a,b),X_43),c))
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(product(product(a,b),a),product(difference(product(a,b),X_43),c))) )],[refute_0_844,refute_0_845]) ).

cnf(refute_0_847,plain,
    bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(difference(product(a,b),X_43),c)),product(bigC(a,b,a),product(difference(product(a,b),X_43),c))) )],[refute_0_839,refute_0_846]) ).

cnf(refute_0_848,plain,
    ( bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(X_43,product(a,c))
    | bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(bigC(a,b,a),product(difference(product(a,b),X_43),c))
    | product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(X_43,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(X_43,product(a,c))) ),[0],$fot(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)))]]) ).

cnf(refute_0_849,plain,
    ( bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)) != product(X_43,product(a,c))
    | product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(X_43,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(bigC(a,b,a),product(difference(product(a,b),X_43),c))) )],[refute_0_847,refute_0_848]) ).

cnf(refute_0_850,plain,
    product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(X_43,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),X_43),product(bigC(c,b,a),a)),product(X_43,product(a,c))) )],[refute_0_834,refute_0_849]) ).

cnf(refute_0_851,plain,
    product(bigC(a,b,a),product(difference(product(a,b),product(product(a,b),B)),c)) = product(product(product(a,b),B),product(a,c)),
    inference(subst,[],[refute_0_850:[bind(X_43,$fot(product(product(a,b),B)))]]) ).

cnf(refute_0_852,plain,
    difference(product(a,b),product(product(a,b),B)) = B,
    inference(subst,[],[sos01:[bind(A,$fot(product(a,b)))]]) ).

cnf(refute_0_853,plain,
    ( difference(product(a,b),product(product(a,b),B)) != B
    | product(bigC(a,b,a),product(difference(product(a,b),product(product(a,b),B)),c)) != product(product(product(a,b),B),product(a,c))
    | product(bigC(a,b,a),product(B,c)) = product(product(product(a,b),B),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),product(product(a,b),B)),c)),product(product(product(a,b),B),product(a,c))) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_854,plain,
    ( product(bigC(a,b,a),product(difference(product(a,b),product(product(a,b),B)),c)) != product(product(product(a,b),B),product(a,c))
    | product(bigC(a,b,a),product(B,c)) = product(product(product(a,b),B),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),B)),B) )],[refute_0_852,refute_0_853]) ).

cnf(refute_0_855,plain,
    product(bigC(a,b,a),product(B,c)) = product(product(product(a,b),B),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),product(product(a,b),B)),c)),product(product(product(a,b),B),product(a,c))) )],[refute_0_851,refute_0_854]) ).

cnf(refute_0_856,plain,
    ( product(bigC(a,b,a),product(B,c)) != product(product(product(a,b),B),product(a,c))
    | product(product(product(a,b),B),product(a,c)) = product(bigC(a,b,a),product(B,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,a),product(B,c)))),bind(Y,$fot(product(product(product(a,b),B),product(a,c))))]]) ).

cnf(refute_0_857,plain,
    product(product(product(a,b),B),product(a,c)) = product(bigC(a,b,a),product(B,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,c)),product(product(product(a,b),B),product(a,c))) )],[refute_0_855,refute_0_856]) ).

cnf(refute_0_858,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(product(product(a,b),B),product(a,c))
    | product(product(product(a,b),B),product(a,c)) != product(bigC(a,b,a),product(B,c))
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),product(bigC(a,b,a),product(B,c))) ),[0],$fot(product(product(product(a,b),B),product(a,c)))]]) ).

cnf(refute_0_859,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(product(product(a,b),B),product(a,c))
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(a,c)),product(bigC(a,b,a),product(B,c))) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    bigC(product(a,b),B,product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),product(product(product(a,b),B),product(a,c))) )],[refute_0_830,refute_0_859]) ).

cnf(refute_0_861,plain,
    bigC(product(a,b),B,product(bigC(c,b,a),a)) = bigC(product(a,b),B,product(bigC(c,b,a),a)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),B,product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_862,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != bigC(product(a,b),B,product(bigC(c,b,a),a))
    | product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) = bigC(product(a,b),B,product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),bigC(product(a,b),B,product(bigC(c,b,a),a))) ),[1,2],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_863,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) = bigC(product(a,b),B,product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),bigC(product(a,b),B,product(bigC(c,b,a),a))) )],[refute_0_861,refute_0_862]) ).

cnf(refute_0_864,plain,
    bigC(product(a,b),B,product(bigC(c,b,a),a)) = bigC(product(a,b),B,product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_863]) ).

cnf(refute_0_865,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != bigC(product(a,b),B,product(bigC(c,a,b),a))
    | bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(bigC(a,b,a),product(B,c))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(bigC(a,b,a),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),product(bigC(a,b,a),product(B,c))) ),[0],$fot(bigC(product(a,b),B,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_866,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(bigC(a,b,a),product(B,c))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(bigC(a,b,a),product(B,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),bigC(product(a,b),B,product(bigC(c,a,b),a))) )],[refute_0_864,refute_0_865]) ).

cnf(refute_0_867,plain,
    bigC(a,b,a) = bigC(a,a,b),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_868,plain,
    product(bigC(a,b,a),product(B,c)) = product(bigC(a,b,a),product(B,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(B,c)))]]) ).

cnf(refute_0_869,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(B,c)) != product(bigC(a,b,a),product(B,c))
    | product(bigC(a,b,a),product(B,c)) = product(bigC(a,a,b),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(B,c)),product(bigC(a,b,a),product(B,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_870,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(B,c)) = product(bigC(a,a,b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,c)),product(bigC(a,b,a),product(B,c))) )],[refute_0_868,refute_0_869]) ).

cnf(refute_0_871,plain,
    product(bigC(a,b,a),product(B,c)) = product(bigC(a,a,b),product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_870]) ).

cnf(refute_0_872,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(bigC(a,b,a),product(B,c))
    | product(bigC(a,b,a),product(B,c)) != product(bigC(a,a,b),product(B,c))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(bigC(a,a,b),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),product(bigC(a,a,b),product(B,c))) ),[0],$fot(product(bigC(a,b,a),product(B,c)))]]) ).

cnf(refute_0_873,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(bigC(a,b,a),product(B,c))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(bigC(a,a,b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(B,c)),product(bigC(a,a,b),product(B,c))) )],[refute_0_871,refute_0_872]) ).

cnf(refute_0_874,plain,
    ( bigC(product(a,b),B,product(bigC(c,b,a),a)) != product(bigC(a,b,a),product(B,c))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(bigC(a,a,b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),product(bigC(a,b,a),product(B,c))) )],[refute_0_866,refute_0_873]) ).

cnf(refute_0_875,plain,
    bigC(product(a,b),B,product(bigC(c,a,b),a)) = product(bigC(a,a,b),product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,b,a),a)),product(bigC(a,b,a),product(B,c))) )],[refute_0_860,refute_0_874]) ).

cnf(refute_0_876,plain,
    product(bigC(c,a,b),a) = product(bigC(c,a,b),a),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_877,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),a) != product(bigC(c,a,b),a)
    | product(bigC(c,a,b),a) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),a),product(bigC(c,a,b),a)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_878,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),a) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(bigC(c,a,b),a)) )],[refute_0_876,refute_0_877]) ).

cnf(refute_0_879,plain,
    product(bigC(c,a,b),a) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_878]) ).

cnf(refute_0_880,plain,
    bigC(product(a,b),B,product(bigC(c,a,b),a)) = bigC(product(a,b),B,product(bigC(c,a,b),a)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),B,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_881,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != bigC(product(a,b),B,product(bigC(c,a,b),a))
    | product(bigC(c,a,b),a) != product(c,a)
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = bigC(product(a,b),B,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),bigC(product(a,b),B,product(bigC(c,a,b),a))) ),[1,2],$fot(product(c,a))]]) ).

cnf(refute_0_882,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) = bigC(product(a,b),B,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),bigC(product(a,b),B,product(bigC(c,a,b),a))) )],[refute_0_880,refute_0_881]) ).

cnf(refute_0_883,plain,
    bigC(product(a,b),B,product(bigC(c,a,b),a)) = bigC(product(a,b),B,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_882]) ).

cnf(refute_0_884,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != bigC(product(a,b),B,product(c,a))
    | bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(bigC(a,a,b),product(B,c))
    | bigC(product(a,b),B,product(c,a)) = product(bigC(a,a,b),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),product(bigC(a,a,b),product(B,c))) ),[0],$fot(bigC(product(a,b),B,product(c,a)))]]) ).

cnf(refute_0_885,plain,
    ( bigC(product(a,b),B,product(bigC(c,a,b),a)) != product(bigC(a,a,b),product(B,c))
    | bigC(product(a,b),B,product(c,a)) = product(bigC(a,a,b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),bigC(product(a,b),B,product(c,a))) )],[refute_0_883,refute_0_884]) ).

cnf(refute_0_886,plain,
    bigC(product(a,b),B,product(c,a)) = product(bigC(a,a,b),product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(bigC(c,a,b),a)),product(bigC(a,a,b),product(B,c))) )],[refute_0_875,refute_0_885]) ).

cnf(refute_0_887,plain,
    bigC(c,difference(c,bigC(a,a,b)),X_23) = product(bigC(a,a,b),product(X_23,c)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(a,a,b))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_888,plain,
    difference(c,bigC(c,a,c)) = product(a,c),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(c)),bind(X_37,$fot(a))]]) ).

cnf(refute_0_889,plain,
    quotient(product(bigC(c,a,c),bigC(b,b,c)),bigC(b,b,c)) = bigC(c,a,c),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(c,a,c))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_890,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,b),product(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(c,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_891,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(product(a,c),product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,b),product(product(a,c),product(c,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_892,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(product(a,c),product(c,b)))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_891]) ).

cnf(refute_0_893,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,b),product(product(a,c),product(c,b)))) )],[refute_0_890,refute_0_892]) ).

cnf(refute_0_894,plain,
    bigC(c,c,a) = bigC(c,a,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_895,plain,
    product(c,product(a,c)) = bigC(c,c,a),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(c)),bind(X_23,$fot(a))]]) ).

cnf(refute_0_896,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(c,product(a,c)) != bigC(c,c,a)
    | product(c,product(a,c)) = bigC(c,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(a,c)))),bind(Y,$fot(bigC(c,c,a))),bind(Z,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_897,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(c,product(a,c)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,c,a)) )],[refute_0_895,refute_0_896]) ).

cnf(refute_0_898,plain,
    product(c,product(a,c)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_894,refute_0_897]) ).

cnf(refute_0_899,plain,
    product(product(c,product(a,c)),bigC(b,b,c)) = product(product(c,product(a,c)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(c,product(a,c)),bigC(b,b,c)))]]) ).

cnf(refute_0_900,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(product(c,product(a,c)),bigC(b,b,c)) != product(product(c,product(a,c)),bigC(b,b,c))
    | product(product(c,product(a,c)),bigC(b,b,c)) = product(bigC(c,a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(a,c)),bigC(b,b,c)),product(product(c,product(a,c)),bigC(b,b,c))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_901,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(product(c,product(a,c)),bigC(b,b,c)) = product(bigC(c,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),bigC(b,b,c)),product(product(c,product(a,c)),bigC(b,b,c))) )],[refute_0_899,refute_0_900]) ).

cnf(refute_0_902,plain,
    product(product(c,product(a,c)),bigC(b,b,c)) = product(bigC(c,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,a,c)) )],[refute_0_898,refute_0_901]) ).

cnf(refute_0_903,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,product(a,c)),bigC(b,b,c)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(c)),bind(B,$fot(product(a,c))),bind(C,$fot(b))]]) ).

cnf(refute_0_904,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,product(a,c)),bigC(b,b,c))
    | product(product(c,product(a,c)),bigC(b,b,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,a,c),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(c,b),product(a,c)))),bind(Y,$fot(product(product(c,product(a,c)),bigC(b,b,c)))),bind(Z,$fot(product(bigC(c,a,c),bigC(b,b,c))))]]) ).

cnf(refute_0_905,plain,
    ( product(product(c,product(a,c)),bigC(b,b,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,product(a,c)),bigC(b,b,c))) )],[refute_0_903,refute_0_904]) ).

cnf(refute_0_906,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(bigC(c,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),bigC(b,b,c)),product(bigC(c,a,c),bigC(b,b,c))) )],[refute_0_902,refute_0_905]) ).

cnf(refute_0_907,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(bigC(c,a,c),bigC(b,b,c))
    | bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,c),bigC(b,b,c)) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,b),product(a,b))) ),[0],$fot(product(bigC(c,a,c),bigC(b,b,c)))]]) ).

cnf(refute_0_908,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,c),bigC(b,b,c)) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(bigC(c,a,c),bigC(b,b,c))) )],[refute_0_906,refute_0_907]) ).

cnf(refute_0_909,plain,
    product(product(c,b),product(a,b)) = product(product(c,a),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_910,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,b),product(a,b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | product(bigC(c,a,c),bigC(b,b,c)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,a),b)) ),[0],$fot(product(product(c,b),product(a,b)))]]) ).

cnf(refute_0_911,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,c),bigC(b,b,c)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_909,refute_0_910]) ).

cnf(refute_0_912,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(bigC(c,a,c),bigC(b,b,c)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,b),product(a,b))) )],[refute_0_908,refute_0_911]) ).

cnf(refute_0_913,plain,
    product(bigC(c,a,c),bigC(b,b,c)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,b),product(a,b))) )],[refute_0_893,refute_0_912]) ).

cnf(refute_0_914,plain,
    ( product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | quotient(product(bigC(c,a,c),bigC(b,b,c)),bigC(b,b,c)) != bigC(c,a,c)
    | quotient(product(product(c,a),b),bigC(b,b,c)) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,c),bigC(b,b,c)),bigC(b,b,c)),bigC(c,a,c)) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_915,plain,
    ( quotient(product(bigC(c,a,c),bigC(b,b,c)),bigC(b,b,c)) != bigC(c,a,c)
    | quotient(product(product(c,a),b),bigC(b,b,c)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,a),b)) )],[refute_0_913,refute_0_914]) ).

cnf(refute_0_916,plain,
    quotient(product(product(c,a),b),bigC(b,b,c)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,c),bigC(b,b,c)),bigC(b,b,c)),bigC(c,a,c)) )],[refute_0_889,refute_0_915]) ).

cnf(refute_0_917,plain,
    quotient(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = bigC(a,a,b),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_918,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(product(product(a,b),product(b,bigC(c,a,b))),product(a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,b))),bind(X_22,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_919,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(product(a,b),product(b,bigC(c,a,b))),product(a,b))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)),product(product(product(a,b),product(b,bigC(c,a,b))),product(a,b))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_920,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(product(a,b),product(b,bigC(c,a,b))),product(a,b))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_919]) ).

cnf(refute_0_921,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)),product(product(product(a,b),product(b,bigC(c,a,b))),product(a,b))) )],[refute_0_918,refute_0_920]) ).

cnf(refute_0_922,plain,
    bigC(b,bigC(c,a,b),b) = bigC(b,b,bigC(c,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_923,plain,
    product(product(b,bigC(c,a,b)),b) = bigC(b,bigC(c,a,b),b),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(b)),bind(X_22,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_924,plain,
    ( bigC(b,bigC(c,a,b),b) != bigC(b,b,bigC(c,a,b))
    | product(product(b,bigC(c,a,b)),b) != bigC(b,bigC(c,a,b),b)
    | product(product(b,bigC(c,a,b)),b) = bigC(b,b,bigC(c,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(c,a,b)),b))),bind(Y,$fot(bigC(b,bigC(c,a,b),b))),bind(Z,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_925,plain,
    ( bigC(b,bigC(c,a,b),b) != bigC(b,b,bigC(c,a,b))
    | product(product(b,bigC(c,a,b)),b) = bigC(b,b,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),b),bigC(b,bigC(c,a,b),b)) )],[refute_0_923,refute_0_924]) ).

cnf(refute_0_926,plain,
    product(product(b,bigC(c,a,b)),b) = bigC(b,b,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(c,a,b),b),bigC(b,b,bigC(c,a,b))) )],[refute_0_922,refute_0_925]) ).

cnf(refute_0_927,plain,
    product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)))]]) ).

cnf(refute_0_928,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b))
    | product(product(b,bigC(c,a,b)),b) != bigC(b,b,bigC(c,a,b))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b))) ),[1,1],$fot(bigC(b,b,bigC(c,a,b)))]]) ).

cnf(refute_0_929,plain,
    ( product(product(b,bigC(c,a,b)),b) != bigC(b,b,bigC(c,a,b))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b))) )],[refute_0_927,refute_0_928]) ).

cnf(refute_0_930,plain,
    product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),b),bigC(b,b,bigC(c,a,b))) )],[refute_0_926,refute_0_929]) ).

cnf(refute_0_931,plain,
    product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)))]]) ).

cnf(refute_0_932,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b))
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)),product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_933,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)),product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b))) )],[refute_0_931,refute_0_932]) ).

cnf(refute_0_934,plain,
    product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_933]) ).

cnf(refute_0_935,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b))
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)))),bind(Y,$fot(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)))),bind(Z,$fot(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_936,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b))) )],[refute_0_934,refute_0_935]) ).

cnf(refute_0_937,plain,
    product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_930,refute_0_936]) ).

cnf(refute_0_938,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(product(b,bigC(c,a,b)))),bind(D,$fot(b))]]) ).

cnf(refute_0_939,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b))
    | product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)))),bind(Y,$fot(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)))),bind(Z,$fot(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_940,plain,
    ( product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)) != product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)),product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b))) )],[refute_0_938,refute_0_939]) ).

cnf(refute_0_941,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) = product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(b,bigC(c,a,b)),b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_937,refute_0_940]) ).

cnf(refute_0_942,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(c,b),product(a,b))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)),product(product(c,b),product(a,b))) ),[0],$fot(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_943,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(c,b),product(a,b))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_941,refute_0_942]) ).

cnf(refute_0_944,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,b),product(a,b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) ),[0],$fot(product(product(c,b),product(a,b)))]]) ).

cnf(refute_0_945,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,b),product(a,b))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_909,refute_0_944]) ).

cnf(refute_0_946,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)) != product(product(c,b),product(a,b))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,b),product(a,b))) )],[refute_0_943,refute_0_945]) ).

cnf(refute_0_947,plain,
    product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(a,b)),product(product(c,b),product(a,b))) )],[refute_0_921,refute_0_946]) ).

cnf(refute_0_948,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | quotient(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != bigC(a,a,b)
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(a,a,b)) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_949,plain,
    ( quotient(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != bigC(a,a,b)
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_947,refute_0_948]) ).

cnf(refute_0_950,plain,
    quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(a,a,b)) )],[refute_0_917,refute_0_949]) ).

cnf(refute_0_951,plain,
    bigC(b,b,bigC(c,a,b)) = bigC(b,b,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(b,b,bigC(c,a,b)))]]) ).

cnf(refute_0_952,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(b,b,bigC(c,a,b)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_953,plain,
    ( bigC(c,a,b) != c
    | bigC(b,b,bigC(c,a,b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b))) )],[refute_0_951,refute_0_952]) ).

cnf(refute_0_954,plain,
    bigC(b,b,bigC(c,a,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_953]) ).

cnf(refute_0_955,plain,
    quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_956,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))
    | quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_957,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_955,refute_0_956]) ).

cnf(refute_0_958,plain,
    quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_957]) ).

cnf(refute_0_959,plain,
    product(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b))) = product(product(c,a),b),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_960,plain,
    difference(product(product(c,b),product(a,c)),bigC(product(c,b),product(a,c),product(c,b))) = product(product(c,b),product(c,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(product(a,c))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_961,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,a),b)) ),[0],$fot(product(product(c,b),product(a,b)))]]) ).

cnf(refute_0_962,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,b),product(a,b))
    | bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_909,refute_0_961]) ).

cnf(refute_0_963,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,b),product(a,b))) )],[refute_0_893,refute_0_962]) ).

cnf(refute_0_964,plain,
    bigC(product(c,b),product(c,b),product(a,c)) = bigC(product(c,b),product(a,c),product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_965,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != bigC(product(c,b),product(a,c),product(c,b))
    | bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,c),product(c,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,a),b)) ),[0],$fot(bigC(product(c,b),product(a,c),product(c,b)))]]) ).

cnf(refute_0_966,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,c),product(c,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),bigC(product(c,b),product(a,c),product(c,b))) )],[refute_0_964,refute_0_965]) ).

cnf(refute_0_967,plain,
    bigC(product(c,b),product(a,c),product(c,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,a),b)) )],[refute_0_963,refute_0_966]) ).

cnf(refute_0_968,plain,
    ( bigC(product(c,b),product(a,c),product(c,b)) != product(product(c,a),b)
    | difference(product(product(c,b),product(a,c)),bigC(product(c,b),product(a,c),product(c,b))) != product(product(c,b),product(c,b))
    | difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = product(product(c,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,c)),bigC(product(c,b),product(a,c),product(c,b))),product(product(c,b),product(c,b))) ),[0,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_969,plain,
    ( difference(product(product(c,b),product(a,c)),bigC(product(c,b),product(a,c),product(c,b))) != product(product(c,b),product(c,b))
    | difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = product(product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),product(c,b)),product(product(c,a),b)) )],[refute_0_967,refute_0_968]) ).

cnf(refute_0_970,plain,
    difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = product(product(c,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,c)),bigC(product(c,b),product(a,c),product(c,b))),product(product(c,b),product(c,b))) )],[refute_0_960,refute_0_969]) ).

cnf(refute_0_971,plain,
    difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = difference(product(product(c,b),product(a,c)),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(a,c)),product(product(c,a),b)))]]) ).

cnf(refute_0_972,plain,
    ( difference(product(product(c,b),product(a,c)),product(product(c,a),b)) != difference(product(product(c,b),product(a,c)),product(product(c,a),b))
    | product(product(c,b),product(a,c)) != bigC(c,a,b)
    | difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = difference(bigC(c,a,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(product(c,a),b)),difference(product(product(c,b),product(a,c)),product(product(c,a),b))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_973,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,a,b)
    | difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = difference(bigC(c,a,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(product(c,a),b)),difference(product(product(c,b),product(a,c)),product(product(c,a),b))) )],[refute_0_971,refute_0_972]) ).

cnf(refute_0_974,plain,
    difference(product(product(c,b),product(a,c)),product(product(c,a),b)) = difference(bigC(c,a,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_467,refute_0_973]) ).

cnf(refute_0_975,plain,
    ( difference(product(product(c,b),product(a,c)),product(product(c,a),b)) != difference(bigC(c,a,b),product(product(c,a),b))
    | difference(product(product(c,b),product(a,c)),product(product(c,a),b)) != product(product(c,b),product(c,b))
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(product(c,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(product(c,a),b)),product(product(c,b),product(c,b))) ),[0],$fot(difference(bigC(c,a,b),product(product(c,a),b)))]]) ).

cnf(refute_0_976,plain,
    ( difference(product(product(c,b),product(a,c)),product(product(c,a),b)) != product(product(c,b),product(c,b))
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(product(c,a),b)),difference(bigC(c,a,b),product(product(c,a),b))) )],[refute_0_974,refute_0_975]) ).

cnf(refute_0_977,plain,
    product(b,b) = b,
    inference(subst,[],[sos06:[bind(A,$fot(b))]]) ).

cnf(refute_0_978,plain,
    product(c,product(b,b)) = product(c,product(b,b)),
    introduced(tautology,[refl,[$fot(product(c,product(b,b)))]]) ).

cnf(refute_0_979,plain,
    ( product(b,b) != b
    | product(c,product(b,b)) != product(c,product(b,b))
    | product(c,product(b,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(b,b)),product(c,product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_980,plain,
    ( product(b,b) != b
    | product(c,product(b,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,b)),product(c,product(b,b))) )],[refute_0_978,refute_0_979]) ).

cnf(refute_0_981,plain,
    product(c,product(b,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_980]) ).

cnf(refute_0_982,plain,
    ( product(X_64,product(X_65,X_66)) != product(product(X_64,X_65),product(X_64,X_66))
    | product(product(X_64,X_65),product(X_64,X_66)) = product(X_64,product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(X_64,product(X_65,X_66)))),bind(Y,$fot(product(product(X_64,X_65),product(X_64,X_66))))]]) ).

cnf(refute_0_983,plain,
    product(product(X_64,X_65),product(X_64,X_66)) = product(X_64,product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(X_64,product(X_65,X_66)),product(product(X_64,X_65),product(X_64,X_66))) )],[refute_0_20,refute_0_982]) ).

cnf(refute_0_984,plain,
    product(product(c,b),product(c,b)) = product(c,product(b,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_985,plain,
    ( product(c,product(b,b)) != product(c,b)
    | product(product(c,b),product(c,b)) != product(c,product(b,b))
    | product(product(c,b),product(c,b)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(c,b)))),bind(Y,$fot(product(c,product(b,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_986,plain,
    ( product(c,product(b,b)) != product(c,b)
    | product(product(c,b),product(c,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,b)),product(c,product(b,b))) )],[refute_0_984,refute_0_985]) ).

cnf(refute_0_987,plain,
    product(product(c,b),product(c,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,product(b,b)),product(c,b)) )],[refute_0_981,refute_0_986]) ).

cnf(refute_0_988,plain,
    ( difference(bigC(c,a,b),product(product(c,a),b)) != product(product(c,b),product(c,b))
    | product(product(c,b),product(c,b)) != product(c,b)
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(c,b)) ),[0],$fot(product(product(c,b),product(c,b)))]]) ).

cnf(refute_0_989,plain,
    ( difference(bigC(c,a,b),product(product(c,a),b)) != product(product(c,b),product(c,b))
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,b)),product(c,b)) )],[refute_0_987,refute_0_988]) ).

cnf(refute_0_990,plain,
    ( difference(product(product(c,b),product(a,c)),product(product(c,a),b)) != product(product(c,b),product(c,b))
    | difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(product(c,b),product(c,b))) )],[refute_0_976,refute_0_989]) ).

cnf(refute_0_991,plain,
    difference(bigC(c,a,b),product(product(c,a),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,c)),product(product(c,a),b)),product(product(c,b),product(c,b))) )],[refute_0_970,refute_0_990]) ).

cnf(refute_0_992,plain,
    ( difference(bigC(c,a,b),product(product(c,a),b)) != product(c,b)
    | product(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b))) != product(product(c,a),b)
    | product(bigC(c,a,b),product(c,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b))),product(product(c,a),b)) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_993,plain,
    ( product(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b))) != product(product(c,a),b)
    | product(bigC(c,a,b),product(c,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(c,b)) )],[refute_0_991,refute_0_992]) ).

cnf(refute_0_994,plain,
    product(bigC(c,a,b),product(c,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b))),product(product(c,a),b)) )],[refute_0_959,refute_0_993]) ).

cnf(refute_0_995,plain,
    product(bigC(c,a,b),product(c,b)) = product(bigC(c,a,b),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(c,b)))]]) ).

cnf(refute_0_996,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(c,b)) != product(bigC(c,a,b),product(c,b))
    | product(bigC(c,a,b),product(c,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(bigC(c,a,b),product(c,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_997,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(c,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(bigC(c,a,b),product(c,b))) )],[refute_0_995,refute_0_996]) ).

cnf(refute_0_998,plain,
    product(bigC(c,a,b),product(c,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_997]) ).

cnf(refute_0_999,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(c,product(c,b))
    | product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | product(c,product(c,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) ),[0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1000,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | product(c,product(c,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(c,product(c,b))) )],[refute_0_998,refute_0_999]) ).

cnf(refute_0_1001,plain,
    product(c,product(c,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_1000]) ).

cnf(refute_0_1002,plain,
    ( product(c,product(c,b)) != product(product(c,a),b)
    | product(product(c,a),b) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,b)))),bind(Y,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_1003,plain,
    product(product(c,a),b) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),product(product(c,a),b)) )],[refute_0_1001,refute_0_1002]) ).

cnf(refute_0_1004,plain,
    quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_1005,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b)))
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1006,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_1004,refute_0_1005]) ).

cnf(refute_0_1007,plain,
    quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    ( quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,b,c))
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))))),bind(Y,$fot(quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))))),bind(Z,$fot(quotient(product(c,product(c,b)),bigC(b,b,c))))]]) ).

cnf(refute_0_1009,plain,
    ( quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,b,c))
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_1007,refute_0_1008]) ).

cnf(refute_0_1010,plain,
    quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = quotient(product(c,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,b,c))) )],[refute_0_958,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    ( quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != bigC(a,a,b)
    | quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != quotient(product(c,product(c,b)),bigC(b,b,c))
    | quotient(product(c,product(c,b)),bigC(b,b,c)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b)) ),[0],$fot(quotient(product(c,product(c,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_1012,plain,
    ( quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != bigC(a,a,b)
    | quotient(product(c,product(c,b)),bigC(b,b,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),quotient(product(c,product(c,b)),bigC(b,b,c))) )],[refute_0_1010,refute_0_1011]) ).

cnf(refute_0_1013,plain,
    quotient(product(c,product(c,b)),bigC(b,b,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b)) )],[refute_0_950,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    quotient(product(product(c,a),b),bigC(b,b,c)) = quotient(product(product(c,a),b),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),b),bigC(b,b,c)))]]) ).

cnf(refute_0_1015,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(b,b,c)) != quotient(product(product(c,a),b),bigC(b,b,c))
    | quotient(product(product(c,a),b),bigC(b,b,c)) = quotient(product(c,product(c,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,c)),quotient(product(product(c,a),b),bigC(b,b,c))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1016,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),bigC(b,b,c)) = quotient(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,c)),quotient(product(product(c,a),b),bigC(b,b,c))) )],[refute_0_1014,refute_0_1015]) ).

cnf(refute_0_1017,plain,
    quotient(product(product(c,a),b),bigC(b,b,c)) = quotient(product(c,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    ( quotient(product(c,product(c,b)),bigC(b,b,c)) != bigC(a,a,b)
    | quotient(product(product(c,a),b),bigC(b,b,c)) != quotient(product(c,product(c,b)),bigC(b,b,c))
    | quotient(product(product(c,a),b),bigC(b,b,c)) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(c,a),b),bigC(b,b,c)))),bind(Y,$fot(quotient(product(c,product(c,b)),bigC(b,b,c)))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_1019,plain,
    ( quotient(product(c,product(c,b)),bigC(b,b,c)) != bigC(a,a,b)
    | quotient(product(product(c,a),b),bigC(b,b,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,c)),quotient(product(c,product(c,b)),bigC(b,b,c))) )],[refute_0_1017,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    quotient(product(product(c,a),b),bigC(b,b,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,b,c)),bigC(a,a,b)) )],[refute_0_1013,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    ( quotient(product(product(c,a),b),bigC(b,b,c)) != bigC(a,a,b)
    | quotient(product(product(c,a),b),bigC(b,b,c)) != bigC(c,a,c)
    | bigC(a,a,b) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,c)),bigC(c,a,c)) ),[0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1022,plain,
    ( quotient(product(product(c,a),b),bigC(b,b,c)) != bigC(c,a,c)
    | bigC(a,a,b) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,c)),bigC(a,a,b)) )],[refute_0_1020,refute_0_1021]) ).

cnf(refute_0_1023,plain,
    bigC(a,a,b) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(b,b,c)),bigC(c,a,c)) )],[refute_0_916,refute_0_1022]) ).

cnf(refute_0_1024,plain,
    ( bigC(a,a,b) != bigC(c,a,c)
    | bigC(c,a,c) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,b))),bind(Y,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_1025,plain,
    bigC(c,a,c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),bigC(c,a,c)) )],[refute_0_1023,refute_0_1024]) ).

cnf(refute_0_1026,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(c,bigC(c,a,c)) != product(a,c)
    | difference(c,bigC(a,a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(c,a,c)),product(a,c)) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1027,plain,
    ( difference(c,bigC(c,a,c)) != product(a,c)
    | difference(c,bigC(a,a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    difference(c,bigC(a,a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,a,c)),product(a,c)) )],[refute_0_888,refute_0_1027]) ).

cnf(refute_0_1029,plain,
    ( bigC(c,difference(c,bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,c))
    | difference(c,bigC(a,a,b)) != product(a,c)
    | bigC(c,product(a,c),X_23) = product(bigC(a,a,b),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,c))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_1030,plain,
    ( bigC(c,difference(c,bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,c))
    | bigC(c,product(a,c),X_23) = product(bigC(a,a,b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,b)),product(a,c)) )],[refute_0_1028,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    bigC(c,product(a,c),X_23) = product(bigC(a,a,b),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,c))) )],[refute_0_887,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    ( bigC(c,product(a,c),X_23) != product(bigC(a,a,b),product(X_23,c))
    | product(bigC(a,a,b),product(X_23,c)) = bigC(c,product(a,c),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(a,c),X_23))),bind(Y,$fot(product(bigC(a,a,b),product(X_23,c))))]]) ).

cnf(refute_0_1033,plain,
    product(bigC(a,a,b),product(X_23,c)) = bigC(c,product(a,c),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),X_23),product(bigC(a,a,b),product(X_23,c))) )],[refute_0_1031,refute_0_1032]) ).

cnf(refute_0_1034,plain,
    product(bigC(a,a,b),product(B,c)) = bigC(c,product(a,c),B),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(B))]]) ).

cnf(refute_0_1035,plain,
    ( bigC(product(a,b),B,product(c,a)) != product(bigC(a,a,b),product(B,c))
    | product(bigC(a,a,b),product(B,c)) != bigC(c,product(a,c),B)
    | bigC(product(a,b),B,product(c,a)) = bigC(c,product(a,c),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),B,product(c,a)),bigC(c,product(a,c),B)) ),[0],$fot(product(bigC(a,a,b),product(B,c)))]]) ).

cnf(refute_0_1036,plain,
    ( bigC(product(a,b),B,product(c,a)) != product(bigC(a,a,b),product(B,c))
    | bigC(product(a,b),B,product(c,a)) = bigC(c,product(a,c),B) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(B,c)),bigC(c,product(a,c),B)) )],[refute_0_1034,refute_0_1035]) ).

cnf(refute_0_1037,plain,
    bigC(product(a,b),B,product(c,a)) = bigC(c,product(a,c),B),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),B,product(c,a)),product(bigC(a,a,b),product(B,c))) )],[refute_0_886,refute_0_1036]) ).

cnf(refute_0_1038,plain,
    bigC(product(a,b),C,product(c,a)) = bigC(c,product(a,c),C),
    inference(subst,[],[refute_0_1037:[bind(B,$fot(C))]]) ).

cnf(refute_0_1039,plain,
    ( bigC(product(a,b),C,product(c,a)) != bigC(c,product(a,c),C)
    | bigC(product(a,b),product(c,a),C) != bigC(product(a,b),C,product(c,a))
    | bigC(product(a,b),product(c,a),C) = bigC(c,product(a,c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(c,a),C),bigC(product(a,b),C,product(c,a))) ),[1],$fot(bigC(c,product(a,c),C))]]) ).

cnf(refute_0_1040,plain,
    ( bigC(product(a,b),product(c,a),C) != bigC(product(a,b),C,product(c,a))
    | bigC(product(a,b),product(c,a),C) = bigC(c,product(a,c),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),C,product(c,a)),bigC(c,product(a,c),C)) )],[refute_0_1038,refute_0_1039]) ).

cnf(refute_0_1041,plain,
    bigC(product(a,b),product(c,a),C) = bigC(c,product(a,c),C),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),C),bigC(product(a,b),C,product(c,a))) )],[refute_0_826,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    bigC(quotient(A,X_22),X_22,X_23) = product(product(quotient(A,X_22),X_22),product(X_23,quotient(A,X_22))),
    inference(subst,[],[sos08:[bind(A,$fot(quotient(A,X_22))),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_1043,plain,
    product(quotient(A,X_22),X_22) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_1044,plain,
    ( bigC(quotient(A,X_22),X_22,X_23) != product(product(quotient(A,X_22),X_22),product(X_23,quotient(A,X_22)))
    | product(quotient(A,X_22),X_22) != A
    | bigC(quotient(A,X_22),X_22,X_23) = product(A,product(X_23,quotient(A,X_22))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(A,X_22),X_22,X_23),product(product(quotient(A,X_22),X_22),product(X_23,quotient(A,X_22)))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_1045,plain,
    ( bigC(quotient(A,X_22),X_22,X_23) != product(product(quotient(A,X_22),X_22),product(X_23,quotient(A,X_22)))
    | bigC(quotient(A,X_22),X_22,X_23) = product(A,product(X_23,quotient(A,X_22))) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_22),X_22),A) )],[refute_0_1043,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    bigC(quotient(A,X_22),X_22,X_23) = product(A,product(X_23,quotient(A,X_22))),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_22),X_22,X_23),product(product(quotient(A,X_22),X_22),product(X_23,quotient(A,X_22)))) )],[refute_0_1042,refute_0_1045]) ).

cnf(refute_0_1047,plain,
    bigC(quotient(c,product(c,a)),product(c,a),X_23) = product(c,product(X_23,quotient(c,product(c,a)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(c)),bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_1048,plain,
    quotient(bigC(a,b,c),product(c,a)) = product(a,b),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_1049,plain,
    difference(product(c,b),product(product(c,b),bigC(a,b,c))) = bigC(a,b,c),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_1050,plain,
    difference(product(a,product(a,b)),product(product(a,product(a,b)),bigC(b,a,b))) = bigC(b,a,b),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,product(a,b)))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1051,plain,
    product(product(product(c,product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(a,b),
    inference(subst,[],[sos07:[bind(A,$fot(c)),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_1052,plain,
    quotient(bigC(c,product(a,b),product(a,c)),product(product(a,c),c)) = product(c,product(a,b)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(c)),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_1053,plain,
    product(bigC(a,b,a),product(difference(product(a,b),product(a,b)),c)) = product(product(a,b),product(a,c)),
    inference(subst,[],[refute_0_850:[bind(X_43,$fot(product(a,b)))]]) ).

cnf(refute_0_1054,plain,
    difference(X_2,product(X_2,X_2)) = X_2,
    inference(subst,[],[sos01:[bind(A,$fot(X_2)),bind(B,$fot(X_2))]]) ).

cnf(refute_0_1055,plain,
    product(X_2,X_2) = X_2,
    inference(subst,[],[sos06:[bind(A,$fot(X_2))]]) ).

cnf(refute_0_1056,plain,
    ( difference(X_2,product(X_2,X_2)) != X_2
    | product(X_2,X_2) != X_2
    | difference(X_2,X_2) = X_2 ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_2,product(X_2,X_2)),X_2) ),[0,1],$fot(X_2)]]) ).

cnf(refute_0_1057,plain,
    ( difference(X_2,product(X_2,X_2)) != X_2
    | difference(X_2,X_2) = X_2 ),
    inference(resolve,[$cnf( $equal(product(X_2,X_2),X_2) )],[refute_0_1055,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    difference(X_2,X_2) = X_2,
    inference(resolve,[$cnf( $equal(difference(X_2,product(X_2,X_2)),X_2) )],[refute_0_1054,refute_0_1057]) ).

cnf(refute_0_1059,plain,
    difference(product(a,b),product(a,b)) = product(a,b),
    inference(subst,[],[refute_0_1058:[bind(X_2,$fot(product(a,b)))]]) ).

cnf(refute_0_1060,plain,
    ( difference(product(a,b),product(a,b)) != product(a,b)
    | product(bigC(a,b,a),product(difference(product(a,b),product(a,b)),c)) != product(product(a,b),product(a,c))
    | product(bigC(a,b,a),product(product(a,b),c)) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),product(a,b)),c)),product(product(a,b),product(a,c))) ),[0,1,0],$fot(product(a,b))]]) ).

cnf(refute_0_1061,plain,
    ( product(bigC(a,b,a),product(difference(product(a,b),product(a,b)),c)) != product(product(a,b),product(a,c))
    | product(bigC(a,b,a),product(product(a,b),c)) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,b)),product(a,b)) )],[refute_0_1059,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    product(bigC(a,b,a),product(product(a,b),c)) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),product(a,b)),c)),product(product(a,b),product(a,c))) )],[refute_0_1053,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    ( product(bigC(a,b,a),product(product(a,b),c)) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | product(bigC(a,b,a),product(product(a,b),c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,a),product(product(a,b),c)),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_1064,plain,
    ( product(bigC(a,b,a),product(product(a,b),c)) != product(product(a,b),product(a,c))
    | product(bigC(a,b,a),product(product(a,b),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_1063]) ).

cnf(refute_0_1065,plain,
    product(bigC(a,b,a),product(product(a,b),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),c)),product(product(a,b),product(a,c))) )],[refute_0_1062,refute_0_1064]) ).

cnf(refute_0_1066,plain,
    product(bigC(a,b,a),product(product(a,b),c)) = product(bigC(a,b,a),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(product(a,b),c)))]]) ).

cnf(refute_0_1067,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(a,b),c)) != product(bigC(a,b,a),product(product(a,b),c))
    | product(bigC(a,b,a),product(product(a,b),c)) = product(bigC(a,a,b),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),c)),product(bigC(a,b,a),product(product(a,b),c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1068,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(a,b),c)) = product(bigC(a,a,b),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),c)),product(bigC(a,b,a),product(product(a,b),c))) )],[refute_0_1066,refute_0_1067]) ).

cnf(refute_0_1069,plain,
    product(bigC(a,b,a),product(product(a,b),c)) = product(bigC(a,a,b),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    ( product(bigC(a,b,a),product(product(a,b),c)) != product(a,product(b,c))
    | product(bigC(a,b,a),product(product(a,b),c)) != product(bigC(a,a,b),product(product(a,b),c))
    | product(bigC(a,a,b),product(product(a,b),c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),c)),product(a,product(b,c))) ),[0],$fot(product(bigC(a,a,b),product(product(a,b),c)))]]) ).

cnf(refute_0_1071,plain,
    ( product(bigC(a,b,a),product(product(a,b),c)) != product(a,product(b,c))
    | product(bigC(a,a,b),product(product(a,b),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),c)),product(bigC(a,a,b),product(product(a,b),c))) )],[refute_0_1069,refute_0_1070]) ).

cnf(refute_0_1072,plain,
    product(bigC(a,a,b),product(product(a,b),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),c)),product(a,product(b,c))) )],[refute_0_1065,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    bigC(c,product(a,c),product(a,b)) = bigC(c,product(a,b),product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_1074,plain,
    product(bigC(a,a,b),product(product(a,b),c)) = bigC(c,product(a,c),product(a,b)),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_1075,plain,
    ( bigC(c,product(a,c),product(a,b)) != bigC(c,product(a,b),product(a,c))
    | product(bigC(a,a,b),product(product(a,b),c)) != bigC(c,product(a,c),product(a,b))
    | product(bigC(a,a,b),product(product(a,b),c)) = bigC(c,product(a,b),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(product(a,b),c)))),bind(Y,$fot(bigC(c,product(a,c),product(a,b)))),bind(Z,$fot(bigC(c,product(a,b),product(a,c))))]]) ).

cnf(refute_0_1076,plain,
    ( bigC(c,product(a,c),product(a,b)) != bigC(c,product(a,b),product(a,c))
    | product(bigC(a,a,b),product(product(a,b),c)) = bigC(c,product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),bigC(c,product(a,c),product(a,b))) )],[refute_0_1074,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    product(bigC(a,a,b),product(product(a,b),c)) = bigC(c,product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(a,b)),bigC(c,product(a,b),product(a,c))) )],[refute_0_1073,refute_0_1076]) ).

cnf(refute_0_1078,plain,
    ( product(bigC(a,a,b),product(product(a,b),c)) != bigC(c,product(a,b),product(a,c))
    | product(bigC(a,a,b),product(product(a,b),c)) != product(a,product(b,c))
    | bigC(c,product(a,b),product(a,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),product(a,product(b,c))) ),[0],$fot(bigC(c,product(a,b),product(a,c)))]]) ).

cnf(refute_0_1079,plain,
    ( product(bigC(a,a,b),product(product(a,b),c)) != product(a,product(b,c))
    | bigC(c,product(a,b),product(a,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),bigC(c,product(a,b),product(a,c))) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    bigC(c,product(a,b),product(a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),c)),product(a,product(b,c))) )],[refute_0_1072,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    ( bigC(c,product(a,b),product(a,c)) != product(a,product(b,c))
    | quotient(bigC(c,product(a,b),product(a,c)),product(product(a,c),c)) != product(c,product(a,b))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,product(a,b),product(a,c)),product(product(a,c),c)),product(c,product(a,b))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1082,plain,
    ( quotient(bigC(c,product(a,b),product(a,c)),product(product(a,c),c)) != product(c,product(a,b))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_1080,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    quotient(product(a,product(b,c)),product(product(a,c),c)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,product(a,b),product(a,c)),product(product(a,c),c)),product(c,product(a,b))) )],[refute_0_1052,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    quotient(product(a,product(b,c)),product(product(a,c),c)) = quotient(product(a,product(b,c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_1085,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) != quotient(product(a,product(b,c)),product(product(a,c),c))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) = quotient(product(a,product(b,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,c),c)),quotient(product(a,product(b,c)),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1086,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) = quotient(product(a,product(b,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,c),c)),quotient(product(a,product(b,c)),product(product(a,c),c))) )],[refute_0_1084,refute_0_1085]) ).

cnf(refute_0_1087,plain,
    quotient(product(a,product(b,c)),product(product(a,c),c)) = quotient(product(a,product(b,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,c))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) != quotient(product(a,product(b,c)),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(b,c)),product(product(a,c),c)))),bind(Y,$fot(quotient(product(a,product(b,c)),product(a,product(b,c))))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_1089,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,c))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,c),c)),quotient(product(a,product(b,c)),product(a,product(b,c)))) )],[refute_0_1087,refute_0_1088]) ).

cnf(refute_0_1090,plain,
    quotient(product(a,product(b,c)),product(product(a,c),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,c))),product(a,product(b,c))) )],[refute_0_436,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    ( quotient(product(a,product(b,c)),product(product(a,c),c)) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(product(a,c),c)) != product(c,product(a,b))
    | product(a,product(b,c)) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,c),c)),product(c,product(a,b))) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1092,plain,
    ( quotient(product(a,product(b,c)),product(product(a,c),c)) != product(c,product(a,b))
    | product(a,product(b,c)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,c),c)),product(a,product(b,c))) )],[refute_0_1090,refute_0_1091]) ).

cnf(refute_0_1093,plain,
    product(a,product(b,c)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,c),c)),product(c,product(a,b))) )],[refute_0_1083,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    ( product(a,product(b,c)) != product(c,product(a,b))
    | product(c,product(a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_1095,plain,
    product(c,product(a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(c,product(a,b))) )],[refute_0_1093,refute_0_1094]) ).

cnf(refute_0_1096,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(product(c,product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(a,b)
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(a,b)) ),[0,0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1097,plain,
    ( product(product(product(c,product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(a,b)
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(a,b)) )],[refute_0_1051,refute_0_1097]) ).

cnf(refute_0_1099,plain,
    product(c,c) = c,
    inference(subst,[],[sos06:[bind(A,$fot(c))]]) ).

cnf(refute_0_1100,plain,
    bigC(b,c,product(c,c)) = bigC(b,c,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(b,c,product(c,c)))]]) ).

cnf(refute_0_1101,plain,
    ( bigC(b,c,product(c,c)) != bigC(b,c,product(c,c))
    | product(c,c) != c
    | bigC(b,c,product(c,c)) = bigC(b,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,c,product(c,c)),bigC(b,c,product(c,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_1102,plain,
    ( product(c,c) != c
    | bigC(b,c,product(c,c)) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,c)),bigC(b,c,product(c,c))) )],[refute_0_1100,refute_0_1101]) ).

cnf(refute_0_1103,plain,
    bigC(b,c,product(c,c)) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_1102]) ).

cnf(refute_0_1104,plain,
    bigC(product(b,b),c,product(c,c)) = bigC(product(b,b),c,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(product(b,b),c,product(c,c)))]]) ).

cnf(refute_0_1105,plain,
    ( bigC(product(b,b),c,product(c,c)) != bigC(product(b,b),c,product(c,c))
    | product(b,b) != b
    | bigC(product(b,b),c,product(c,c)) = bigC(b,c,product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,b),c,product(c,c)),bigC(product(b,b),c,product(c,c))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_1106,plain,
    ( product(b,b) != b
    | bigC(product(b,b),c,product(c,c)) = bigC(b,c,product(c,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),c,product(c,c)),bigC(product(b,b),c,product(c,c))) )],[refute_0_1104,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    bigC(product(b,b),c,product(c,c)) = bigC(b,c,product(c,c)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_1106]) ).

cnf(refute_0_1108,plain,
    ( bigC(b,c,product(c,c)) != bigC(b,c,c)
    | bigC(product(b,b),c,product(c,c)) != bigC(b,c,product(c,c))
    | bigC(product(b,b),c,product(c,c)) = bigC(b,c,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,b),c,product(c,c)))),bind(Y,$fot(bigC(b,c,product(c,c)))),bind(Z,$fot(bigC(b,c,c)))]]) ).

cnf(refute_0_1109,plain,
    ( bigC(b,c,product(c,c)) != bigC(b,c,c)
    | bigC(product(b,b),c,product(c,c)) = bigC(b,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),c,product(c,c)),bigC(b,c,product(c,c))) )],[refute_0_1107,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    bigC(product(b,b),c,product(c,c)) = bigC(b,c,c),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,c)),bigC(b,c,c)) )],[refute_0_1103,refute_0_1109]) ).

cnf(refute_0_1111,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | bigC(product(b,b),c,product(c,c)) != bigC(b,c,c)
    | bigC(product(b,b),c,product(c,c)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,b),c,product(c,c)))),bind(Y,$fot(bigC(b,c,c))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1112,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | bigC(product(b,b),c,product(c,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),c,product(c,c)),bigC(b,c,c)) )],[refute_0_1110,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    bigC(product(b,b),c,product(c,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_691,refute_0_1112]) ).

cnf(refute_0_1114,plain,
    bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(product(product(X_65,X_66),B),product(product(X_63,X_64),product(X_65,X_66))),
    inference(subst,[],[sos08:[bind(A,$fot(product(X_65,X_66))),bind(C,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_1115,plain,
    ( bigC(product(X_65,X_66),B,product(X_63,X_64)) != product(product(product(X_65,X_66),B),product(product(X_63,X_64),product(X_65,X_66)))
    | product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_65,X_66),B,product(X_63,X_64)),product(product(product(X_65,X_66),B),product(product(X_63,X_64),product(X_65,X_66)))) ),[1,1],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_1116,plain,
    ( bigC(product(X_65,X_66),B,product(X_63,X_64)) != product(product(product(X_65,X_66),B),product(product(X_63,X_64),product(X_65,X_66)))
    | bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),B,product(X_63,X_64)),product(product(product(X_65,X_66),B),product(product(X_63,X_64),product(X_65,X_66)))) )],[refute_0_1114,refute_0_1116]) ).

cnf(refute_0_1118,plain,
    product(product(product(A,B),product(C,A)),product(X_65,X_66)) = product(product(product(A,B),X_65),product(product(C,A),X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(product(A,B))),bind(B,$fot(product(C,A))),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_1119,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(product(A,B),product(C,A)),product(X_65,X_66)) != product(product(product(A,B),X_65),product(product(C,A),X_66))
    | product(bigC(A,B,C),product(X_65,X_66)) = product(product(product(A,B),X_65),product(product(C,A),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,B),product(C,A)),product(X_65,X_66)),product(product(product(A,B),X_65),product(product(C,A),X_66))) ),[0,0],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_1120,plain,
    ( product(product(product(A,B),product(C,A)),product(X_65,X_66)) != product(product(product(A,B),X_65),product(product(C,A),X_66))
    | product(bigC(A,B,C),product(X_65,X_66)) = product(product(product(A,B),X_65),product(product(C,A),X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_8,refute_0_1119]) ).

cnf(refute_0_1121,plain,
    product(bigC(A,B,C),product(X_65,X_66)) = product(product(product(A,B),X_65),product(product(C,A),X_66)),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,A)),product(X_65,X_66)),product(product(product(A,B),X_65),product(product(C,A),X_66))) )],[refute_0_1118,refute_0_1120]) ).

cnf(refute_0_1122,plain,
    ( product(bigC(A,B,C),product(X_65,X_66)) != product(product(product(A,B),X_65),product(product(C,A),X_66))
    | product(product(product(A,B),X_65),product(product(C,A),X_66)) = product(bigC(A,B,C),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(A,B,C),product(X_65,X_66)))),bind(Y,$fot(product(product(product(A,B),X_65),product(product(C,A),X_66))))]]) ).

cnf(refute_0_1123,plain,
    product(product(product(A,B),X_65),product(product(C,A),X_66)) = product(bigC(A,B,C),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(bigC(A,B,C),product(X_65,X_66)),product(product(product(A,B),X_65),product(product(C,A),X_66))) )],[refute_0_1121,refute_0_1122]) ).

cnf(refute_0_1124,plain,
    product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))) = product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66))),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(X_65)),bind(B,$fot(X_66)),bind(C,$fot(X_63)),bind(X_65,$fot(B)),bind(X_66,$fot(product(X_64,X_66)))]]) ).

cnf(refute_0_1125,plain,
    ( bigC(product(X_65,X_66),B,product(X_63,X_64)) != product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66)))
    | product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))) != product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66)))
    | bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_65,X_66),B,product(X_63,X_64)),product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66)))) ),[0],$fot(product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))))]]) ).

cnf(refute_0_1126,plain,
    ( bigC(product(X_65,X_66),B,product(X_63,X_64)) != product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66)))
    | bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66))),product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66)))) )],[refute_0_1124,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    bigC(product(X_65,X_66),B,product(X_63,X_64)) = product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66))),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),B,product(X_63,X_64)),product(product(product(X_65,X_66),B),product(product(X_63,X_65),product(X_64,X_66)))) )],[refute_0_1117,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    ( bigC(product(X_65,X_66),B,product(X_63,X_64)) != product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66)))
    | product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66))) = bigC(product(X_65,X_66),B,product(X_63,X_64)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(X_65,X_66),B,product(X_63,X_64)))),bind(Y,$fot(product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66)))))]]) ).

cnf(refute_0_1129,plain,
    product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66))) = bigC(product(X_65,X_66),B,product(X_63,X_64)),
    inference(resolve,[$cnf( $equal(bigC(product(X_65,X_66),B,product(X_63,X_64)),product(bigC(X_65,X_66,X_63),product(B,product(X_64,X_66)))) )],[refute_0_1127,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    product(bigC(b,b,c),product(c,product(c,b))) = bigC(product(b,b),c,product(c,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(c)),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_1131,plain,
    ( bigC(product(b,b),c,product(c,c)) != bigC(b,a,b)
    | product(bigC(b,b,c),product(c,product(c,b))) != bigC(product(b,b),c,product(c,c))
    | product(bigC(b,b,c),product(c,product(c,b))) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,product(c,b))))),bind(Y,$fot(bigC(product(b,b),c,product(c,c)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1132,plain,
    ( bigC(product(b,b),c,product(c,c)) != bigC(b,a,b)
    | product(bigC(b,b,c),product(c,product(c,b))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,product(c,b))),bigC(product(b,b),c,product(c,c))) )],[refute_0_1130,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    product(bigC(b,b,c),product(c,product(c,b))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),c,product(c,c)),bigC(b,a,b)) )],[refute_0_1113,refute_0_1132]) ).

cnf(refute_0_1134,plain,
    product(product(a,b),bigC(b,bigC(c,a,b),a)) = product(product(a,b),bigC(b,bigC(c,a,b),a)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(b,bigC(c,a,b),a)))]]) ).

cnf(refute_0_1135,plain,
    ( bigC(b,bigC(c,a,b),a) != bigC(b,a,bigC(c,a,b))
    | product(product(a,b),bigC(b,bigC(c,a,b),a)) != product(product(a,b),bigC(b,bigC(c,a,b),a))
    | product(product(a,b),bigC(b,bigC(c,a,b),a)) = product(product(a,b),bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,bigC(c,a,b),a)),product(product(a,b),bigC(b,bigC(c,a,b),a))) ),[1,1],$fot(bigC(b,a,bigC(c,a,b)))]]) ).

cnf(refute_0_1136,plain,
    ( bigC(b,bigC(c,a,b),a) != bigC(b,a,bigC(c,a,b))
    | product(product(a,b),bigC(b,bigC(c,a,b),a)) = product(product(a,b),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,bigC(c,a,b),a)),product(product(a,b),bigC(b,bigC(c,a,b),a))) )],[refute_0_1134,refute_0_1135]) ).

cnf(refute_0_1137,plain,
    product(product(a,b),bigC(b,bigC(c,a,b),a)) = product(product(a,b),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(c,a,b),a),bigC(b,a,bigC(c,a,b))) )],[refute_0_224,refute_0_1136]) ).

cnf(refute_0_1138,plain,
    bigC(product(C,A),product(C,A),product(A,B)) = product(product(C,A),product(product(A,B),product(C,A))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(C,A))),bind(X_23,$fot(product(A,B)))]]) ).

cnf(refute_0_1139,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,A),product(product(A,B),product(C,A)))
    | product(product(A,B),product(C,A)) != bigC(A,B,C)
    | bigC(product(C,A),product(C,A),product(A,B)) = product(product(C,A),bigC(A,B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(product(C,A),product(product(A,B),product(C,A)))) ),[1,1],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_1140,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,A),product(product(A,B),product(C,A)))
    | bigC(product(C,A),product(C,A),product(A,B)) = product(product(C,A),bigC(A,B,C)) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_8,refute_0_1139]) ).

cnf(refute_0_1141,plain,
    bigC(product(C,A),product(C,A),product(A,B)) = product(product(C,A),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(product(C,A),product(product(A,B),product(C,A)))) )],[refute_0_1138,refute_0_1140]) ).

cnf(refute_0_1142,plain,
    product(product(C,product(A,B)),bigC(A,A,C)) = product(bigC(C,C,A),bigC(A,A,B)),
    inference(subst,[],[refute_0_674:[bind(B,$fot(C)),bind(C,$fot(B)),bind(D,$fot(A))]]) ).

cnf(refute_0_1143,plain,
    bigC(product(C,A),product(C,A),product(A,B)) = product(product(C,product(A,B)),bigC(A,A,C)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(C)),bind(B,$fot(product(A,B))),bind(C,$fot(A))]]) ).

cnf(refute_0_1144,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,product(A,B)),bigC(A,A,C))
    | product(product(C,product(A,B)),bigC(A,A,C)) != product(bigC(C,C,A),bigC(A,A,B))
    | bigC(product(C,A),product(C,A),product(A,B)) = product(bigC(C,C,A),bigC(A,A,B)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(C,A),product(C,A),product(A,B)))),bind(Y,$fot(product(product(C,product(A,B)),bigC(A,A,C)))),bind(Z,$fot(product(bigC(C,C,A),bigC(A,A,B))))]]) ).

cnf(refute_0_1145,plain,
    ( product(product(C,product(A,B)),bigC(A,A,C)) != product(bigC(C,C,A),bigC(A,A,B))
    | bigC(product(C,A),product(C,A),product(A,B)) = product(bigC(C,C,A),bigC(A,A,B)) ),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(product(C,product(A,B)),bigC(A,A,C))) )],[refute_0_1143,refute_0_1144]) ).

cnf(refute_0_1146,plain,
    bigC(product(C,A),product(C,A),product(A,B)) = product(bigC(C,C,A),bigC(A,A,B)),
    inference(resolve,[$cnf( $equal(product(product(C,product(A,B)),bigC(A,A,C)),product(bigC(C,C,A),bigC(A,A,B))) )],[refute_0_1142,refute_0_1145]) ).

cnf(refute_0_1147,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(bigC(C,C,A),bigC(A,A,B))
    | bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,A),bigC(A,B,C))
    | product(bigC(C,C,A),bigC(A,A,B)) = product(product(C,A),bigC(A,B,C)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(product(C,A),bigC(A,B,C))) ),[0],$fot(product(bigC(C,C,A),bigC(A,A,B)))]]) ).

cnf(refute_0_1148,plain,
    ( bigC(product(C,A),product(C,A),product(A,B)) != product(product(C,A),bigC(A,B,C))
    | product(bigC(C,C,A),bigC(A,A,B)) = product(product(C,A),bigC(A,B,C)) ),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(bigC(C,C,A),bigC(A,A,B))) )],[refute_0_1146,refute_0_1147]) ).

cnf(refute_0_1149,plain,
    product(bigC(C,C,A),bigC(A,A,B)) = product(product(C,A),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(bigC(product(C,A),product(C,A),product(A,B)),product(product(C,A),bigC(A,B,C))) )],[refute_0_1141,refute_0_1148]) ).

cnf(refute_0_1150,plain,
    product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(a,b),bigC(b,bigC(c,a,b),a)),
    inference(subst,[],[refute_0_1149:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(a))]]) ).

cnf(refute_0_1151,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(a,b),bigC(b,bigC(c,a,b),a))
    | product(product(a,b),bigC(b,bigC(c,a,b),a)) != product(product(a,b),bigC(b,a,bigC(c,a,b)))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(a,b),bigC(b,a,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))),bind(Y,$fot(product(product(a,b),bigC(b,bigC(c,a,b),a)))),bind(Z,$fot(product(product(a,b),bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_1152,plain,
    ( product(product(a,b),bigC(b,bigC(c,a,b),a)) != product(product(a,b),bigC(b,a,bigC(c,a,b)))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(a,b),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(a,b),bigC(b,bigC(c,a,b),a))) )],[refute_0_1150,refute_0_1151]) ).

cnf(refute_0_1153,plain,
    product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(a,b),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,bigC(c,a,b),a)),product(product(a,b),bigC(b,a,bigC(c,a,b)))) )],[refute_0_1137,refute_0_1152]) ).

cnf(refute_0_1154,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(a,b),bigC(b,a,bigC(c,a,b)))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) ),[0],$fot(product(product(a,b),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_1155,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(a,b),bigC(b,a,bigC(c,a,b)))) )],[refute_0_1153,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_947,refute_0_1155]) ).

cnf(refute_0_1157,plain,
    product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_1158,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,b),bigC(b,a,bigC(c,a,b)))
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),bigC(b,a,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_1159,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),bigC(b,a,bigC(c,a,b)))) )],[refute_0_1157,refute_0_1158]) ).

cnf(refute_0_1160,plain,
    product(product(a,b),bigC(b,a,bigC(c,a,b))) = product(product(a,b),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_485,refute_0_1159]) ).

cnf(refute_0_1161,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(a,b),bigC(b,a,c))
    | product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),bigC(b,a,c)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) ),[0],$fot(product(product(a,b),bigC(b,a,c)))]]) ).

cnf(refute_0_1162,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),bigC(b,a,c)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(a,b),bigC(b,a,c))) )],[refute_0_1160,refute_0_1161]) ).

cnf(refute_0_1163,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(product(c,a),b)
    | product(product(c,a),b) != product(c,product(c,b))
    | product(product(a,b),bigC(b,a,c)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) ),[0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1164,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(product(c,a),b)
    | product(product(a,b),bigC(b,a,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),bigC(b,a,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(product(c,a),b)) )],[refute_0_1162,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    product(product(a,b),bigC(b,a,c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_1156,refute_0_1165]) ).

cnf(refute_0_1167,plain,
    product(product(a,b),bigC(b,a,c)) = product(product(a,b),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(b,a,c)))]]) ).

cnf(refute_0_1168,plain,
    ( bigC(b,a,c) != c
    | product(product(a,b),bigC(b,a,c)) != product(product(a,b),bigC(b,a,c))
    | product(product(a,b),bigC(b,a,c)) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(product(a,b),bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1169,plain,
    ( bigC(b,a,c) != c
    | product(product(a,b),bigC(b,a,c)) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(product(a,b),bigC(b,a,c))) )],[refute_0_1167,refute_0_1168]) ).

cnf(refute_0_1170,plain,
    product(product(a,b),bigC(b,a,c)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_1169]) ).

cnf(refute_0_1171,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | product(product(a,b),bigC(b,a,c)) != product(product(a,b),c)
    | product(product(a,b),c) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) ),[0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_1172,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | product(product(a,b),c) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(product(a,b),c)) )],[refute_0_1170,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    product(product(a,b),c) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_1172]) ).

cnf(refute_0_1174,plain,
    product(bigC(b,b,c),product(product(a,b),c)) = product(bigC(b,b,c),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),product(product(a,b),c)))]]) ).

cnf(refute_0_1175,plain,
    ( product(bigC(b,b,c),product(product(a,b),c)) != product(bigC(b,b,c),product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | product(bigC(b,b,c),product(product(a,b),c)) = product(bigC(b,b,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(product(a,b),c)),product(bigC(b,b,c),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1176,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(bigC(b,b,c),product(product(a,b),c)) = product(bigC(b,b,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(a,b),c)),product(bigC(b,b,c),product(product(a,b),c))) )],[refute_0_1174,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    product(bigC(b,b,c),product(product(a,b),c)) = product(bigC(b,b,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_1176]) ).

cnf(refute_0_1178,plain,
    ( product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,a,b)
    | product(bigC(b,b,c),product(product(a,b),c)) != product(bigC(b,b,c),product(c,product(c,b)))
    | product(bigC(b,b,c),product(product(a,b),c)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(product(a,b),c)))),bind(Y,$fot(product(bigC(b,b,c),product(c,product(c,b))))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1179,plain,
    ( product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,a,b)
    | product(bigC(b,b,c),product(product(a,b),c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(a,b),c)),product(bigC(b,b,c),product(c,product(c,b)))) )],[refute_0_1177,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    product(bigC(b,b,c),product(product(a,b),c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_1133,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) = product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))))]]) ).

cnf(refute_0_1182,plain,
    ( product(bigC(b,b,c),product(product(a,b),c)) != bigC(b,a,b)
    | product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) != product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c)))
    | product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))),product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1183,plain,
    ( product(bigC(b,b,c),product(product(a,b),c)) != bigC(b,a,b)
    | product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))),product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c)))) )],[refute_0_1181,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(a,b),c)),bigC(b,a,b)) )],[refute_0_1180,refute_0_1183]) ).

cnf(refute_0_1185,plain,
    product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_1186,plain,
    ( product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) != product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c)))
    | product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))))),bind(Y,$fot(product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))))),bind(Z,$fot(product(product(a,product(a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_1187,plain,
    ( product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))),product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c)))) )],[refute_0_1185,refute_0_1186]) ).

cnf(refute_0_1188,plain,
    product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(bigC(b,b,c),product(product(a,b),c))),product(product(a,product(a,b)),bigC(b,a,b))) )],[refute_0_1184,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) = product(product(A,C),product(product(X_63,X_64),product(X_65,X_66))),
    inference(subst,[],[sos05:[bind(B,$fot(product(X_63,X_64))),bind(D,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_1190,plain,
    ( product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) != product(product(A,C),product(product(X_63,X_64),product(X_65,X_66)))
    | product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) = product(product(A,C),product(product(X_63,X_65),product(X_64,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))),product(product(A,C),product(product(X_63,X_64),product(X_65,X_66)))) ),[1,1],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_1191,plain,
    ( product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) != product(product(A,C),product(product(X_63,X_64),product(X_65,X_66)))
    | product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) = product(product(A,C),product(product(X_63,X_65),product(X_64,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_1190]) ).

cnf(refute_0_1192,plain,
    product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) = product(product(A,C),product(product(X_63,X_65),product(X_64,X_66))),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))),product(product(A,C),product(product(X_63,X_64),product(X_65,X_66)))) )],[refute_0_1189,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) = product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))),
    inference(subst,[],[refute_0_1192:[bind(A,$fot(a)),bind(C,$fot(bigC(b,b,c))),bind(X_63,$fot(a)),bind(X_64,$fot(product(a,b))),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_1194,plain,
    ( product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) != product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c)))
    | product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))))),bind(Y,$fot(product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))))),bind(Z,$fot(product(product(a,product(a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_1195,plain,
    ( product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))),product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c)))) )],[refute_0_1193,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) = product(product(a,product(a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(product(a,b),product(product(a,b),c))),product(product(a,product(a,b)),bigC(b,a,b))) )],[refute_0_1188,refute_0_1195]) ).

cnf(refute_0_1197,plain,
    bigC(b,c,b) = bigC(b,b,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_1198,plain,
    product(bigC(b,c,b),product(b,c)) = product(bigC(b,c,b),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,b),product(b,c)))]]) ).

cnf(refute_0_1199,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(b,c)) != product(bigC(b,c,b),product(b,c))
    | product(bigC(b,c,b),product(b,c)) = product(bigC(b,b,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,b),product(b,c)),product(bigC(b,c,b),product(b,c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_1200,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(b,c)) = product(bigC(b,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(b,c)),product(bigC(b,c,b),product(b,c))) )],[refute_0_1198,refute_0_1199]) ).

cnf(refute_0_1201,plain,
    product(bigC(b,c,b),product(b,c)) = product(bigC(b,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_1200]) ).

cnf(refute_0_1202,plain,
    product(product(product(C,X_82),B),product(C,D)) = product(product(product(C,X_82),C),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(C,X_82)))]]) ).

cnf(refute_0_1203,plain,
    bigC(C,X_82,C) = product(product(C,X_82),C),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(C)),bind(X_22,$fot(X_82))]]) ).

cnf(refute_0_1204,plain,
    ( bigC(C,X_82,C) != product(product(C,X_82),C)
    | product(product(C,X_82),C) = bigC(C,X_82,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(C,X_82,C))),bind(Y,$fot(product(product(C,X_82),C)))]]) ).

cnf(refute_0_1205,plain,
    product(product(C,X_82),C) = bigC(C,X_82,C),
    inference(resolve,[$cnf( $equal(bigC(C,X_82,C),product(product(C,X_82),C)) )],[refute_0_1203,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    ( product(product(C,X_82),C) != bigC(C,X_82,C)
    | product(product(product(C,X_82),B),product(C,D)) != product(product(product(C,X_82),C),product(B,D))
    | product(product(product(C,X_82),B),product(C,D)) = product(bigC(C,X_82,C),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(C,X_82),B),product(C,D)),product(product(product(C,X_82),C),product(B,D))) ),[1,0],$fot(bigC(C,X_82,C))]]) ).

cnf(refute_0_1207,plain,
    ( product(product(product(C,X_82),B),product(C,D)) != product(product(product(C,X_82),C),product(B,D))
    | product(product(product(C,X_82),B),product(C,D)) = product(bigC(C,X_82,C),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(C,X_82),C),bigC(C,X_82,C)) )],[refute_0_1205,refute_0_1206]) ).

cnf(refute_0_1208,plain,
    product(product(product(C,X_82),B),product(C,D)) = product(bigC(C,X_82,C),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(C,X_82),B),product(C,D)),product(product(product(C,X_82),C),product(B,D))) )],[refute_0_1202,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    product(product(product(b,c),b),product(b,c)) = product(bigC(b,c,b),product(b,c)),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(b)),bind(C,$fot(b)),bind(D,$fot(c)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_1210,plain,
    ( product(bigC(b,c,b),product(b,c)) != product(bigC(b,b,c),product(b,c))
    | product(product(product(b,c),b),product(b,c)) != product(bigC(b,c,b),product(b,c))
    | product(product(product(b,c),b),product(b,c)) = product(bigC(b,b,c),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),b),product(b,c)))),bind(Y,$fot(product(bigC(b,c,b),product(b,c)))),bind(Z,$fot(product(bigC(b,b,c),product(b,c))))]]) ).

cnf(refute_0_1211,plain,
    ( product(bigC(b,c,b),product(b,c)) != product(bigC(b,b,c),product(b,c))
    | product(product(product(b,c),b),product(b,c)) = product(bigC(b,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),b),product(b,c)),product(bigC(b,c,b),product(b,c))) )],[refute_0_1209,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    product(product(product(b,c),b),product(b,c)) = product(bigC(b,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(b,c)),product(bigC(b,b,c),product(b,c))) )],[refute_0_1201,refute_0_1211]) ).

cnf(refute_0_1213,plain,
    product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))))]]) ).

cnf(refute_0_1214,plain,
    ( product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))
    | product(product(product(b,c),b),product(b,c)) != product(bigC(b,b,c),product(b,c))
    | product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) ),[1,1],$fot(product(bigC(b,b,c),product(b,c)))]]) ).

cnf(refute_0_1215,plain,
    ( product(product(product(b,c),b),product(b,c)) != product(bigC(b,b,c),product(b,c))
    | product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) )],[refute_0_1213,refute_0_1214]) ).

cnf(refute_0_1216,plain,
    product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),b),product(b,c)),product(bigC(b,b,c),product(b,c))) )],[refute_0_1212,refute_0_1215]) ).

cnf(refute_0_1217,plain,
    product(product(a,a),product(a,product(a,b))) = product(a,product(a,product(a,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(a)),bind(X_66,$fot(product(a,b)))]]) ).

cnf(refute_0_1218,plain,
    product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))))]]) ).

cnf(refute_0_1219,plain,
    ( product(product(a,a),product(a,product(a,b))) != product(a,product(a,product(a,b)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) ),[1,0],$fot(product(a,product(a,product(a,b))))]]) ).

cnf(refute_0_1220,plain,
    ( product(product(a,a),product(a,product(a,b))) != product(a,product(a,product(a,b)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) )],[refute_0_1218,refute_0_1219]) ).

cnf(refute_0_1221,plain,
    product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(a,product(a,b))),product(a,product(a,product(a,b)))) )],[refute_0_1217,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    ( product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))))),bind(Y,$fot(product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))))),bind(Z,$fot(product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c)))))]]) ).

cnf(refute_0_1223,plain,
    ( product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) )],[refute_0_1221,refute_0_1222]) ).

cnf(refute_0_1224,plain,
    product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c)))) )],[refute_0_1216,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    ( product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c)))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))))),bind(Y,$fot(product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))))),bind(Z,$fot(product(product(a,product(a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_1226,plain,
    ( product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c)))) )],[refute_0_1224,refute_0_1225]) ).

cnf(refute_0_1227,plain,
    product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) = product(product(a,product(a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(a,b))),product(bigC(b,b,c),product(b,c))),product(product(a,product(a,b)),bigC(b,a,b))) )],[refute_0_1196,refute_0_1226]) ).

cnf(refute_0_1228,plain,
    ( product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) != product(product(A,C),product(product(X_63,X_65),product(X_64,X_66)))
    | product(product(A,C),product(product(X_63,X_65),product(X_64,X_66))) = product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))))),bind(Y,$fot(product(product(A,C),product(product(X_63,X_65),product(X_64,X_66)))))]]) ).

cnf(refute_0_1229,plain,
    product(product(A,C),product(product(X_63,X_65),product(X_64,X_66))) = product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_63,X_64)),product(C,product(X_65,X_66))),product(product(A,C),product(product(X_63,X_65),product(X_64,X_66)))) )],[refute_0_1192,refute_0_1228]) ).

cnf(refute_0_1230,plain,
    product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c))) = product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),
    inference(subst,[],[refute_0_1229:[bind(A,$fot(product(a,a))),bind(C,$fot(product(product(b,c),b))),bind(X_63,$fot(a)),bind(X_64,$fot(product(a,b))),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_1231,plain,
    bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) = product(product(product(X_63,X_64),product(X_65,X_66)),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(product(X_63,X_64))),bind(X_22,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_1232,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) != product(product(product(X_63,X_64),product(X_65,X_66)),A)
    | product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) = product(product(product(X_63,X_65),product(X_64,X_66)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))),product(product(product(X_63,X_64),product(X_65,X_66)),A)) ),[1,0],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_1233,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) != product(product(product(X_63,X_64),product(X_65,X_66)),A)
    | bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) = product(product(product(X_63,X_65),product(X_64,X_66)),A) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_1232]) ).

cnf(refute_0_1234,plain,
    bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) = product(product(product(X_63,X_65),product(X_64,X_66)),A),
    inference(resolve,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))),product(product(product(X_63,X_64),product(X_65,X_66)),A)) )],[refute_0_1231,refute_0_1233]) ).

cnf(refute_0_1235,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) != product(product(product(X_63,X_64),product(X_65,X_66)),A)
    | bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) != product(product(product(X_63,X_65),product(X_64,X_66)),A)
    | product(product(product(X_63,X_64),product(X_65,X_66)),A) = product(product(product(X_63,X_65),product(X_64,X_66)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))),product(product(product(X_63,X_65),product(X_64,X_66)),A)) ),[0],$fot(product(product(product(X_63,X_64),product(X_65,X_66)),A))]]) ).

cnf(refute_0_1236,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))) != product(product(product(X_63,X_65),product(X_64,X_66)),A)
    | product(product(product(X_63,X_64),product(X_65,X_66)),A) = product(product(product(X_63,X_65),product(X_64,X_66)),A) ),
    inference(resolve,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))),product(product(product(X_63,X_64),product(X_65,X_66)),A)) )],[refute_0_1231,refute_0_1235]) ).

cnf(refute_0_1237,plain,
    product(product(product(X_63,X_64),product(X_65,X_66)),A) = product(product(product(X_63,X_65),product(X_64,X_66)),A),
    inference(resolve,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),quotient(A,product(X_63,X_64))),product(product(product(X_63,X_65),product(X_64,X_66)),A)) )],[refute_0_1234,refute_0_1236]) ).

cnf(refute_0_1238,plain,
    ( product(product(product(X_63,X_64),product(X_65,X_66)),A) != product(product(product(X_63,X_65),product(X_64,X_66)),A)
    | product(product(product(X_63,X_65),product(X_64,X_66)),A) = product(product(product(X_63,X_64),product(X_65,X_66)),A) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(product(X_63,X_64),product(X_65,X_66)),A))),bind(Y,$fot(product(product(product(X_63,X_65),product(X_64,X_66)),A)))]]) ).

cnf(refute_0_1239,plain,
    product(product(product(X_63,X_65),product(X_64,X_66)),A) = product(product(product(X_63,X_64),product(X_65,X_66)),A),
    inference(resolve,[$cnf( $equal(product(product(product(X_63,X_64),product(X_65,X_66)),A),product(product(product(X_63,X_65),product(X_64,X_66)),A)) )],[refute_0_1237,refute_0_1238]) ).

cnf(refute_0_1240,plain,
    product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(a,b),product(product(a,b),c)))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_1241,plain,
    ( product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c))) != product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c)))
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))))),bind(Y,$fot(product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c))))),bind(Z,$fot(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))))]]) ).

cnf(refute_0_1242,plain,
    ( product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c))) != product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c)))) )],[refute_0_1240,refute_0_1241]) ).

cnf(refute_0_1243,plain,
    product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(b,c),b)),product(product(a,b),product(product(a,b),c))),product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) )],[refute_0_1230,refute_0_1242]) ).

cnf(refute_0_1244,plain,
    ( product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))))),bind(Y,$fot(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))))),bind(Z,$fot(product(product(a,product(a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_1245,plain,
    ( product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c)))) )],[refute_0_1243,refute_0_1244]) ).

cnf(refute_0_1246,plain,
    product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) = product(product(a,product(a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(a,product(a,b))),product(product(product(b,c),b),product(b,c))),product(product(a,product(a,b)),bigC(b,a,b))) )],[refute_0_1227,refute_0_1245]) ).

cnf(refute_0_1247,plain,
    ( product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(a,b)
    | product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(product(a,product(a,b)),bigC(b,a,b))
    | product(product(a,product(a,b)),bigC(b,a,b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(a,b)) ),[0],$fot(product(product(a,product(a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_1248,plain,
    ( product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) != product(a,b)
    | product(product(a,product(a,b)),bigC(b,a,b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(product(a,product(a,b)),bigC(b,a,b))) )],[refute_0_1246,refute_0_1247]) ).

cnf(refute_0_1249,plain,
    product(product(a,product(a,b)),bigC(b,a,b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))),product(a,b)) )],[refute_0_1098,refute_0_1248]) ).

cnf(refute_0_1250,plain,
    ( difference(product(a,product(a,b)),product(product(a,product(a,b)),bigC(b,a,b))) != bigC(b,a,b)
    | product(product(a,product(a,b)),bigC(b,a,b)) != product(a,b)
    | difference(product(a,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(a,b)),product(product(a,product(a,b)),bigC(b,a,b))),bigC(b,a,b)) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_1251,plain,
    ( difference(product(a,product(a,b)),product(product(a,product(a,b)),bigC(b,a,b))) != bigC(b,a,b)
    | difference(product(a,product(a,b)),product(a,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),bigC(b,a,b)),product(a,b)) )],[refute_0_1249,refute_0_1250]) ).

cnf(refute_0_1252,plain,
    difference(product(a,product(a,b)),product(a,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(product(a,product(a,b)),bigC(b,a,b))),bigC(b,a,b)) )],[refute_0_1050,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    difference(product(a,product(a,b)),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))) = product(product(c,b),bigC(a,b,bigC(c,b,a))),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,product(a,b)))),bind(B,$fot(product(product(c,b),bigC(a,b,bigC(c,b,a)))))]]) ).

cnf(refute_0_1254,plain,
    product(product(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(a,b),
    inference(subst,[],[sos07:[bind(A,$fot(product(bigC(c,b,a),a))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_1255,plain,
    ( product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | product(product(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(a,b)
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(a,b)) ),[0,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_1256,plain,
    ( product(product(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(a,b)
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_1255]) ).

cnf(refute_0_1257,plain,
    product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(a,b)) )],[refute_0_1254,refute_0_1256]) ).

cnf(refute_0_1258,plain,
    product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) = product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(product(a,b))),bind(C,$fot(product(c,b))),bind(D,$fot(bigC(a,b,bigC(c,b,a))))]]) ).

cnf(refute_0_1259,plain,
    product(product(a,b),product(bigC(c,b,a),a)) = bigC(a,b,bigC(c,b,a)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(bigC(c,b,a)))]]) ).

cnf(refute_0_1260,plain,
    product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) = product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))]]) ).

cnf(refute_0_1261,plain,
    ( product(product(a,b),product(bigC(c,b,a),a)) != bigC(a,b,bigC(c,b,a))
    | product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) != product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))
    | product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) = product(product(a,b),bigC(a,b,bigC(c,b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) ),[1,1],$fot(bigC(a,b,bigC(c,b,a)))]]) ).

cnf(refute_0_1262,plain,
    ( product(product(a,b),product(bigC(c,b,a),a)) != bigC(a,b,bigC(c,b,a))
    | product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) = product(product(a,b),bigC(a,b,bigC(c,b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) )],[refute_0_1260,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) = product(product(a,b),bigC(a,b,bigC(c,b,a))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(bigC(c,b,a),a)),bigC(a,b,bigC(c,b,a))) )],[refute_0_1259,refute_0_1262]) ).

cnf(refute_0_1264,plain,
    product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))))]]) ).

cnf(refute_0_1265,plain,
    ( product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) != product(product(a,b),bigC(a,b,bigC(c,b,a)))
    | product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))
    | product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))) ),[1,1],$fot(product(product(a,b),bigC(a,b,bigC(c,b,a))))]]) ).

cnf(refute_0_1266,plain,
    ( product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))) != product(product(a,b),bigC(a,b,bigC(c,b,a)))
    | product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))) )],[refute_0_1264,refute_0_1265]) ).

cnf(refute_0_1267,plain,
    product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))),product(product(a,b),bigC(a,b,bigC(c,b,a)))) )],[refute_0_1263,refute_0_1266]) ).

cnf(refute_0_1268,plain,
    product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))))]]) ).

cnf(refute_0_1269,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_1270,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))) )],[refute_0_1268,refute_0_1269]) ).

cnf(refute_0_1271,plain,
    product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_1270]) ).

cnf(refute_0_1272,plain,
    ( product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))))),bind(Y,$fot(product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))))),bind(Z,$fot(product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a))))))]]) ).

cnf(refute_0_1273,plain,
    ( product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a))))) )],[refute_0_1271,refute_0_1272]) ).

cnf(refute_0_1274,plain,
    product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a))))) )],[refute_0_1267,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    ( product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) != product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))))),bind(Y,$fot(product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))))),bind(Z,$fot(product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))))]]) ).

cnf(refute_0_1276,plain,
    ( product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))) != product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a))))) )],[refute_0_1274,refute_0_1275]) ).

cnf(refute_0_1277,plain,
    product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) = product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,b),bigC(a,b,bigC(c,b,a)))),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))) )],[refute_0_1258,refute_0_1276]) ).

cnf(refute_0_1278,plain,
    ( product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(a,b)
    | product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))
    | product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(a,b)) ),[0],$fot(product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))))]]) ).

cnf(refute_0_1279,plain,
    ( product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))) != product(a,b)
    | product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))) )],[refute_0_1277,refute_0_1278]) ).

cnf(refute_0_1280,plain,
    product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(product(a,b),product(product(a,b),product(bigC(c,b,a),a)))),product(a,b)) )],[refute_0_1257,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    ( difference(product(a,product(a,b)),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))) != product(product(c,b),bigC(a,b,bigC(c,b,a)))
    | product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) != product(a,b)
    | difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,bigC(c,b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(a,b)),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))),product(product(c,b),bigC(a,b,bigC(c,b,a)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_1282,plain,
    ( difference(product(a,product(a,b)),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))) != product(product(c,b),bigC(a,b,bigC(c,b,a)))
    | difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,bigC(c,b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))),product(a,b)) )],[refute_0_1280,refute_0_1281]) ).

cnf(refute_0_1283,plain,
    difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,bigC(c,b,a))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(product(a,product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a))))),product(product(c,b),bigC(a,b,bigC(c,b,a)))) )],[refute_0_1253,refute_0_1282]) ).

cnf(refute_0_1284,plain,
    bigC(a,b,bigC(c,b,a)) = bigC(a,b,bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(bigC(a,b,bigC(c,b,a)))]]) ).

cnf(refute_0_1285,plain,
    ( bigC(a,b,bigC(c,b,a)) != bigC(a,b,bigC(c,b,a))
    | bigC(c,b,a) != bigC(c,a,b)
    | bigC(a,b,bigC(c,b,a)) = bigC(a,b,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,b,bigC(c,b,a)),bigC(a,b,bigC(c,b,a))) ),[1,2],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_1286,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(a,b,bigC(c,b,a)) = bigC(a,b,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,b,a)),bigC(a,b,bigC(c,b,a))) )],[refute_0_1284,refute_0_1285]) ).

cnf(refute_0_1287,plain,
    bigC(a,b,bigC(c,b,a)) = bigC(a,b,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_1286]) ).

cnf(refute_0_1288,plain,
    product(product(c,b),bigC(a,b,bigC(c,b,a))) = product(product(c,b),bigC(a,b,bigC(c,b,a))),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(a,b,bigC(c,b,a))))]]) ).

cnf(refute_0_1289,plain,
    ( bigC(a,b,bigC(c,b,a)) != bigC(a,b,bigC(c,a,b))
    | product(product(c,b),bigC(a,b,bigC(c,b,a))) != product(product(c,b),bigC(a,b,bigC(c,b,a)))
    | product(product(c,b),bigC(a,b,bigC(c,b,a))) = product(product(c,b),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(a,b,bigC(c,b,a))),product(product(c,b),bigC(a,b,bigC(c,b,a)))) ),[1,1],$fot(bigC(a,b,bigC(c,a,b)))]]) ).

cnf(refute_0_1290,plain,
    ( bigC(a,b,bigC(c,b,a)) != bigC(a,b,bigC(c,a,b))
    | product(product(c,b),bigC(a,b,bigC(c,b,a))) = product(product(c,b),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,bigC(c,b,a))),product(product(c,b),bigC(a,b,bigC(c,b,a)))) )],[refute_0_1288,refute_0_1289]) ).

cnf(refute_0_1291,plain,
    product(product(c,b),bigC(a,b,bigC(c,b,a))) = product(product(c,b),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,b,a)),bigC(a,b,bigC(c,a,b))) )],[refute_0_1287,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    ( difference(product(a,product(a,b)),product(a,b)) != product(product(c,b),bigC(a,b,bigC(c,b,a)))
    | product(product(c,b),bigC(a,b,bigC(c,b,a))) != product(product(c,b),bigC(a,b,bigC(c,a,b)))
    | difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(a,b)),product(a,b)),product(product(c,b),bigC(a,b,bigC(c,a,b)))) ),[0],$fot(product(product(c,b),bigC(a,b,bigC(c,b,a))))]]) ).

cnf(refute_0_1293,plain,
    ( difference(product(a,product(a,b)),product(a,b)) != product(product(c,b),bigC(a,b,bigC(c,b,a)))
    | difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,bigC(c,b,a))),product(product(c,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_1291,refute_0_1292]) ).

cnf(refute_0_1294,plain,
    difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(a,b)),product(product(c,b),bigC(a,b,bigC(c,b,a)))) )],[refute_0_1283,refute_0_1293]) ).

cnf(refute_0_1295,plain,
    bigC(a,b,bigC(c,a,b)) = bigC(a,b,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(a,b,bigC(c,a,b)))]]) ).

cnf(refute_0_1296,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(a,b,bigC(c,a,b)) = bigC(a,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_1297,plain,
    ( bigC(c,a,b) != c
    | bigC(a,b,bigC(c,a,b)) = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,bigC(c,a,b))) )],[refute_0_1295,refute_0_1296]) ).

cnf(refute_0_1298,plain,
    bigC(a,b,bigC(c,a,b)) = bigC(a,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    product(product(c,b),bigC(a,b,bigC(c,a,b))) = product(product(c,b),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_1300,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(product(c,b),bigC(a,b,bigC(c,a,b))) != product(product(c,b),bigC(a,b,bigC(c,a,b)))
    | product(product(c,b),bigC(a,b,bigC(c,a,b))) = product(product(c,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(a,b,bigC(c,a,b))),product(product(c,b),bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_1301,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(product(c,b),bigC(a,b,bigC(c,a,b))) = product(product(c,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,bigC(c,a,b))),product(product(c,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_1299,refute_0_1300]) ).

cnf(refute_0_1302,plain,
    product(product(c,b),bigC(a,b,bigC(c,a,b))) = product(product(c,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_1298,refute_0_1301]) ).

cnf(refute_0_1303,plain,
    ( difference(product(a,product(a,b)),product(a,b)) != product(product(c,b),bigC(a,b,bigC(c,a,b)))
    | product(product(c,b),bigC(a,b,bigC(c,a,b))) != product(product(c,b),bigC(a,b,c))
    | difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(a,b)),product(a,b)),product(product(c,b),bigC(a,b,c))) ),[0],$fot(product(product(c,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_1304,plain,
    ( difference(product(a,product(a,b)),product(a,b)) != product(product(c,b),bigC(a,b,bigC(c,a,b)))
    | difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,bigC(c,a,b))),product(product(c,b),bigC(a,b,c))) )],[refute_0_1302,refute_0_1303]) ).

cnf(refute_0_1305,plain,
    difference(product(a,product(a,b)),product(a,b)) = product(product(c,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(a,b)),product(product(c,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_1294,refute_0_1304]) ).

cnf(refute_0_1306,plain,
    ( difference(product(a,product(a,b)),product(a,b)) != bigC(b,a,b)
    | difference(product(a,product(a,b)),product(a,b)) != product(product(c,b),bigC(a,b,c))
    | product(product(c,b),bigC(a,b,c)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(a,b)),product(a,b)),bigC(b,a,b)) ),[0],$fot(product(product(c,b),bigC(a,b,c)))]]) ).

cnf(refute_0_1307,plain,
    ( difference(product(a,product(a,b)),product(a,b)) != bigC(b,a,b)
    | product(product(c,b),bigC(a,b,c)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(a,b)),product(product(c,b),bigC(a,b,c))) )],[refute_0_1305,refute_0_1306]) ).

cnf(refute_0_1308,plain,
    product(product(c,b),bigC(a,b,c)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(a,b)),bigC(b,a,b)) )],[refute_0_1252,refute_0_1307]) ).

cnf(refute_0_1309,plain,
    ( difference(product(c,b),product(product(c,b),bigC(a,b,c))) != bigC(a,b,c)
    | product(product(c,b),bigC(a,b,c)) != bigC(b,a,b)
    | difference(product(c,b),bigC(b,a,b)) = bigC(a,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),bigC(a,b,c))),bigC(a,b,c)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1310,plain,
    ( difference(product(c,b),product(product(c,b),bigC(a,b,c))) != bigC(a,b,c)
    | difference(product(c,b),bigC(b,a,b)) = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,c)),bigC(b,a,b)) )],[refute_0_1308,refute_0_1309]) ).

cnf(refute_0_1311,plain,
    difference(product(c,b),bigC(b,a,b)) = bigC(a,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),bigC(a,b,c))),bigC(a,b,c)) )],[refute_0_1049,refute_0_1310]) ).

cnf(refute_0_1312,plain,
    difference(product(c,b),bigC(c,b,c)) = product(c,c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_1313,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(c,b),bigC(c,b,c)) != product(c,c)
    | difference(product(c,b),bigC(b,a,b)) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,b,c)),product(c,c)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1314,plain,
    ( difference(product(c,b),bigC(c,b,c)) != product(c,c)
    | difference(product(c,b),bigC(b,a,b)) = product(c,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_1313]) ).

cnf(refute_0_1315,plain,
    difference(product(c,b),bigC(b,a,b)) = product(c,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,c)),product(c,c)) )],[refute_0_1312,refute_0_1314]) ).

cnf(refute_0_1316,plain,
    ( difference(product(c,b),bigC(b,a,b)) != product(c,c)
    | product(c,c) != c
    | difference(product(c,b),bigC(b,a,b)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,b),bigC(b,a,b)),c) ),[0],$fot(product(c,c))]]) ).

cnf(refute_0_1317,plain,
    ( difference(product(c,b),bigC(b,a,b)) != product(c,c)
    | difference(product(c,b),bigC(b,a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_1316]) ).

cnf(refute_0_1318,plain,
    difference(product(c,b),bigC(b,a,b)) = c,
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),product(c,c)) )],[refute_0_1315,refute_0_1317]) ).

cnf(refute_0_1319,plain,
    ( difference(product(c,b),bigC(b,a,b)) != bigC(a,b,c)
    | difference(product(c,b),bigC(b,a,b)) != c
    | c = bigC(a,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),bigC(a,b,c)) ),[0],$fot(c)]]) ).

cnf(refute_0_1320,plain,
    ( difference(product(c,b),bigC(b,a,b)) != bigC(a,b,c)
    | c = bigC(a,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1318,refute_0_1319]) ).

cnf(refute_0_1321,plain,
    c = bigC(a,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),bigC(a,b,c)) )],[refute_0_1311,refute_0_1320]) ).

cnf(refute_0_1322,plain,
    ( c != bigC(a,b,c)
    | bigC(a,b,c) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_1323,plain,
    bigC(a,b,c) = c,
    inference(resolve,[$cnf( $equal(c,bigC(a,b,c)) )],[refute_0_1321,refute_0_1322]) ).

cnf(refute_0_1324,plain,
    ( bigC(a,b,c) != c
    | quotient(bigC(a,b,c),product(c,a)) != product(a,b)
    | quotient(c,product(c,a)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,c),product(c,a)),product(a,b)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_1325,plain,
    ( quotient(bigC(a,b,c),product(c,a)) != product(a,b)
    | quotient(c,product(c,a)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_1324]) ).

cnf(refute_0_1326,plain,
    quotient(c,product(c,a)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,c),product(c,a)),product(a,b)) )],[refute_0_1048,refute_0_1325]) ).

cnf(refute_0_1327,plain,
    ( bigC(quotient(c,product(c,a)),product(c,a),X_23) != product(c,product(X_23,quotient(c,product(c,a))))
    | quotient(c,product(c,a)) != product(a,b)
    | bigC(product(a,b),product(c,a),X_23) = product(c,product(X_23,quotient(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,product(c,a)),product(c,a),X_23),product(c,product(X_23,quotient(c,product(c,a))))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_1328,plain,
    ( bigC(quotient(c,product(c,a)),product(c,a),X_23) != product(c,product(X_23,quotient(c,product(c,a))))
    | bigC(product(a,b),product(c,a),X_23) = product(c,product(X_23,quotient(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_1327]) ).

cnf(refute_0_1329,plain,
    bigC(product(a,b),product(c,a),X_23) = product(c,product(X_23,quotient(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,product(c,a)),product(c,a),X_23),product(c,product(X_23,quotient(c,product(c,a))))) )],[refute_0_1047,refute_0_1328]) ).

cnf(refute_0_1330,plain,
    product(X_23,quotient(c,product(c,a))) = product(X_23,quotient(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(X_23,quotient(c,product(c,a))))]]) ).

cnf(refute_0_1331,plain,
    ( product(X_23,quotient(c,product(c,a))) != product(X_23,quotient(c,product(c,a)))
    | quotient(c,product(c,a)) != product(a,b)
    | product(X_23,quotient(c,product(c,a))) = product(X_23,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,quotient(c,product(c,a))),product(X_23,quotient(c,product(c,a)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_1332,plain,
    ( quotient(c,product(c,a)) != product(a,b)
    | product(X_23,quotient(c,product(c,a))) = product(X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(X_23,quotient(c,product(c,a))),product(X_23,quotient(c,product(c,a)))) )],[refute_0_1330,refute_0_1331]) ).

cnf(refute_0_1333,plain,
    product(X_23,quotient(c,product(c,a))) = product(X_23,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_1332]) ).

cnf(refute_0_1334,plain,
    product(c,product(X_23,quotient(c,product(c,a)))) = product(c,product(X_23,quotient(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(c,product(X_23,quotient(c,product(c,a)))))]]) ).

cnf(refute_0_1335,plain,
    ( product(X_23,quotient(c,product(c,a))) != product(X_23,product(a,b))
    | product(c,product(X_23,quotient(c,product(c,a)))) != product(c,product(X_23,quotient(c,product(c,a))))
    | product(c,product(X_23,quotient(c,product(c,a)))) = product(c,product(X_23,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_23,quotient(c,product(c,a)))),product(c,product(X_23,quotient(c,product(c,a))))) ),[1,1],$fot(product(X_23,product(a,b)))]]) ).

cnf(refute_0_1336,plain,
    ( product(X_23,quotient(c,product(c,a))) != product(X_23,product(a,b))
    | product(c,product(X_23,quotient(c,product(c,a)))) = product(c,product(X_23,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,quotient(c,product(c,a)))),product(c,product(X_23,quotient(c,product(c,a))))) )],[refute_0_1334,refute_0_1335]) ).

cnf(refute_0_1337,plain,
    product(c,product(X_23,quotient(c,product(c,a)))) = product(c,product(X_23,product(a,b))),
    inference(resolve,[$cnf( $equal(product(X_23,quotient(c,product(c,a))),product(X_23,product(a,b))) )],[refute_0_1333,refute_0_1336]) ).

cnf(refute_0_1338,plain,
    ( bigC(product(a,b),product(c,a),X_23) != product(c,product(X_23,quotient(c,product(c,a))))
    | product(c,product(X_23,quotient(c,product(c,a)))) != product(c,product(X_23,product(a,b)))
    | bigC(product(a,b),product(c,a),X_23) = product(c,product(X_23,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(c,a),X_23),product(c,product(X_23,product(a,b)))) ),[0],$fot(product(c,product(X_23,quotient(c,product(c,a)))))]]) ).

cnf(refute_0_1339,plain,
    ( bigC(product(a,b),product(c,a),X_23) != product(c,product(X_23,quotient(c,product(c,a))))
    | bigC(product(a,b),product(c,a),X_23) = product(c,product(X_23,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,quotient(c,product(c,a)))),product(c,product(X_23,product(a,b)))) )],[refute_0_1337,refute_0_1338]) ).

cnf(refute_0_1340,plain,
    bigC(product(a,b),product(c,a),X_23) = product(c,product(X_23,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),X_23),product(c,product(X_23,quotient(c,product(c,a))))) )],[refute_0_1329,refute_0_1339]) ).

cnf(refute_0_1341,plain,
    bigC(product(a,b),product(c,a),C) = product(c,product(C,product(a,b))),
    inference(subst,[],[refute_0_1340:[bind(X_23,$fot(C))]]) ).

cnf(refute_0_1342,plain,
    ( bigC(product(a,b),product(c,a),C) != bigC(c,product(a,c),C)
    | bigC(product(a,b),product(c,a),C) != product(c,product(C,product(a,b)))
    | product(c,product(C,product(a,b))) = bigC(c,product(a,c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(c,a),C),bigC(c,product(a,c),C)) ),[0],$fot(product(c,product(C,product(a,b))))]]) ).

cnf(refute_0_1343,plain,
    ( bigC(product(a,b),product(c,a),C) != bigC(c,product(a,c),C)
    | product(c,product(C,product(a,b))) = bigC(c,product(a,c),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),C),product(c,product(C,product(a,b)))) )],[refute_0_1341,refute_0_1342]) ).

cnf(refute_0_1344,plain,
    product(c,product(C,product(a,b))) = bigC(c,product(a,c),C),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,a),C),bigC(c,product(a,c),C)) )],[refute_0_1041,refute_0_1343]) ).

cnf(refute_0_1345,plain,
    product(c,product(quotient(A,product(a,b)),product(a,b))) = bigC(c,product(a,c),quotient(A,product(a,b))),
    inference(subst,[],[refute_0_1344:[bind(C,$fot(quotient(A,product(a,b))))]]) ).

cnf(refute_0_1346,plain,
    product(quotient(A,product(a,b)),product(a,b)) = A,
    inference(subst,[],[sos04:[bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_1347,plain,
    ( product(c,product(quotient(A,product(a,b)),product(a,b))) != bigC(c,product(a,c),quotient(A,product(a,b)))
    | product(quotient(A,product(a,b)),product(a,b)) != A
    | product(c,A) = bigC(c,product(a,c),quotient(A,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(quotient(A,product(a,b)),product(a,b))),bigC(c,product(a,c),quotient(A,product(a,b)))) ),[0,1],$fot(A)]]) ).

cnf(refute_0_1348,plain,
    ( product(c,product(quotient(A,product(a,b)),product(a,b))) != bigC(c,product(a,c),quotient(A,product(a,b)))
    | product(c,A) = bigC(c,product(a,c),quotient(A,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,product(a,b)),product(a,b)),A) )],[refute_0_1346,refute_0_1347]) ).

cnf(refute_0_1349,plain,
    product(c,A) = bigC(c,product(a,c),quotient(A,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(A,product(a,b)),product(a,b))),bigC(c,product(a,c),quotient(A,product(a,b)))) )],[refute_0_1345,refute_0_1348]) ).

cnf(refute_0_1350,plain,
    product(c,difference(c,product(a,c))) = bigC(c,product(a,c),quotient(difference(c,product(a,c)),product(a,b))),
    inference(subst,[],[refute_0_1349:[bind(A,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_1351,plain,
    quotient(quotient(A,X_17),product(quotient(A,X_17),product(quotient(A,X_17),X_17))) = product(product(X_17,quotient(A,X_17)),quotient(A,X_17)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(X_17)),bind(X_16,$fot(quotient(A,X_17)))]]) ).

cnf(refute_0_1352,plain,
    product(quotient(A,X_17),X_17) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_17))]]) ).

cnf(refute_0_1353,plain,
    ( product(quotient(A,X_17),X_17) != A
    | quotient(quotient(A,X_17),product(quotient(A,X_17),product(quotient(A,X_17),X_17))) != product(product(X_17,quotient(A,X_17)),quotient(A,X_17))
    | quotient(quotient(A,X_17),product(quotient(A,X_17),A)) = product(product(X_17,quotient(A,X_17)),quotient(A,X_17)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(A,X_17),product(quotient(A,X_17),product(quotient(A,X_17),X_17))),product(product(X_17,quotient(A,X_17)),quotient(A,X_17))) ),[0,1,1],$fot(A)]]) ).

cnf(refute_0_1354,plain,
    ( quotient(quotient(A,X_17),product(quotient(A,X_17),product(quotient(A,X_17),X_17))) != product(product(X_17,quotient(A,X_17)),quotient(A,X_17))
    | quotient(quotient(A,X_17),product(quotient(A,X_17),A)) = product(product(X_17,quotient(A,X_17)),quotient(A,X_17)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_17),X_17),A) )],[refute_0_1352,refute_0_1353]) ).

cnf(refute_0_1355,plain,
    quotient(quotient(A,X_17),product(quotient(A,X_17),A)) = product(product(X_17,quotient(A,X_17)),quotient(A,X_17)),
    inference(resolve,[$cnf( $equal(quotient(quotient(A,X_17),product(quotient(A,X_17),product(quotient(A,X_17),X_17))),product(product(X_17,quotient(A,X_17)),quotient(A,X_17))) )],[refute_0_1351,refute_0_1354]) ).

cnf(refute_0_1356,plain,
    quotient(quotient(c,difference(c,product(b,a))),product(quotient(c,difference(c,product(b,a))),c)) = product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_1357,plain,
    product(quotient(quotient(c,difference(c,product(b,a))),c),c) = quotient(c,difference(c,product(b,a))),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(c,difference(c,product(b,a))))),bind(B,$fot(c))]]) ).

cnf(refute_0_1358,plain,
    quotient(quotient(c,product(c,quotient(a,c))),c) = difference(c,product(quotient(a,c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(quotient(a,c)))]]) ).

cnf(refute_0_1359,plain,
    difference(A,product(A,product(A,quotient(X_27,A)))) = product(A,quotient(X_27,A)),
    inference(subst,[],[sos01:[bind(B,$fot(product(A,quotient(X_27,A))))]]) ).

cnf(refute_0_1360,plain,
    difference(product(X_19,X_20),product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20))))) = product(X_20,product(X_20,quotient(X_19,X_20))),
    inference(subst,[],[sos01:[bind(A,$fot(product(X_19,X_20))),bind(B,$fot(product(X_20,product(X_20,quotient(X_19,X_20)))))]]) ).

cnf(refute_0_1361,plain,
    product(product(product(quotient(A,X_16),X_16),X_16),product(X_16,product(X_16,quotient(A,X_16)))) = X_16,
    inference(subst,[],[sos07:[bind(A,$fot(quotient(A,X_16))),bind(B,$fot(X_16))]]) ).

cnf(refute_0_1362,plain,
    product(quotient(A,X_16),X_16) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_16))]]) ).

cnf(refute_0_1363,plain,
    ( product(product(product(quotient(A,X_16),X_16),X_16),product(X_16,product(X_16,quotient(A,X_16)))) != X_16
    | product(quotient(A,X_16),X_16) != A
    | product(product(A,X_16),product(X_16,product(X_16,quotient(A,X_16)))) = X_16 ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(A,X_16),X_16),X_16),product(X_16,product(X_16,quotient(A,X_16)))),X_16) ),[0,0,0],$fot(A)]]) ).

cnf(refute_0_1364,plain,
    ( product(product(product(quotient(A,X_16),X_16),X_16),product(X_16,product(X_16,quotient(A,X_16)))) != X_16
    | product(product(A,X_16),product(X_16,product(X_16,quotient(A,X_16)))) = X_16 ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_16),X_16),A) )],[refute_0_1362,refute_0_1363]) ).

cnf(refute_0_1365,plain,
    product(product(A,X_16),product(X_16,product(X_16,quotient(A,X_16)))) = X_16,
    inference(resolve,[$cnf( $equal(product(product(product(quotient(A,X_16),X_16),X_16),product(X_16,product(X_16,quotient(A,X_16)))),X_16) )],[refute_0_1361,refute_0_1364]) ).

cnf(refute_0_1366,plain,
    product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20)))) = X_20,
    inference(subst,[],[refute_0_1365:[bind(A,$fot(X_19)),bind(X_16,$fot(X_20))]]) ).

cnf(refute_0_1367,plain,
    ( difference(product(X_19,X_20),product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20))))) != product(X_20,product(X_20,quotient(X_19,X_20)))
    | product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20)))) != X_20
    | difference(product(X_19,X_20),X_20) = product(X_20,product(X_20,quotient(X_19,X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_19,X_20),product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20))))),product(X_20,product(X_20,quotient(X_19,X_20)))) ),[0,1],$fot(X_20)]]) ).

cnf(refute_0_1368,plain,
    ( difference(product(X_19,X_20),product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20))))) != product(X_20,product(X_20,quotient(X_19,X_20)))
    | difference(product(X_19,X_20),X_20) = product(X_20,product(X_20,quotient(X_19,X_20))) ),
    inference(resolve,[$cnf( $equal(product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20)))),X_20) )],[refute_0_1366,refute_0_1367]) ).

cnf(refute_0_1369,plain,
    difference(product(X_19,X_20),X_20) = product(X_20,product(X_20,quotient(X_19,X_20))),
    inference(resolve,[$cnf( $equal(difference(product(X_19,X_20),product(product(X_19,X_20),product(X_20,product(X_20,quotient(X_19,X_20))))),product(X_20,product(X_20,quotient(X_19,X_20)))) )],[refute_0_1360,refute_0_1368]) ).

cnf(refute_0_1370,plain,
    difference(product(X_27,A),A) = product(A,product(A,quotient(X_27,A))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(X_27)),bind(X_20,$fot(A))]]) ).

cnf(refute_0_1371,plain,
    ( difference(product(X_27,A),A) != product(A,product(A,quotient(X_27,A)))
    | product(A,product(A,quotient(X_27,A))) = difference(product(X_27,A),A) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(X_27,A),A))),bind(Y,$fot(product(A,product(A,quotient(X_27,A)))))]]) ).

cnf(refute_0_1372,plain,
    product(A,product(A,quotient(X_27,A))) = difference(product(X_27,A),A),
    inference(resolve,[$cnf( $equal(difference(product(X_27,A),A),product(A,product(A,quotient(X_27,A)))) )],[refute_0_1370,refute_0_1371]) ).

cnf(refute_0_1373,plain,
    ( difference(A,product(A,product(A,quotient(X_27,A)))) != product(A,quotient(X_27,A))
    | product(A,product(A,quotient(X_27,A))) != difference(product(X_27,A),A)
    | difference(A,difference(product(X_27,A),A)) = product(A,quotient(X_27,A)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(A,product(A,product(A,quotient(X_27,A)))),product(A,quotient(X_27,A))) ),[0,1],$fot(difference(product(X_27,A),A))]]) ).

cnf(refute_0_1374,plain,
    ( difference(A,product(A,product(A,quotient(X_27,A)))) != product(A,quotient(X_27,A))
    | difference(A,difference(product(X_27,A),A)) = product(A,quotient(X_27,A)) ),
    inference(resolve,[$cnf( $equal(product(A,product(A,quotient(X_27,A))),difference(product(X_27,A),A)) )],[refute_0_1372,refute_0_1373]) ).

cnf(refute_0_1375,plain,
    difference(A,difference(product(X_27,A),A)) = product(A,quotient(X_27,A)),
    inference(resolve,[$cnf( $equal(difference(A,product(A,product(A,quotient(X_27,A)))),product(A,quotient(X_27,A))) )],[refute_0_1359,refute_0_1374]) ).

cnf(refute_0_1376,plain,
    difference(c,difference(product(a,c),c)) = product(c,quotient(a,c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(a))]]) ).

cnf(refute_0_1377,plain,
    quotient(product(product(b,a),c),c) = product(b,a),
    inference(subst,[],[sos03:[bind(A,$fot(product(b,a))),bind(B,$fot(c))]]) ).

cnf(refute_0_1378,plain,
    quotient(product(product(product(b,a),c),c),c) = product(product(b,a),c),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(b,a),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_1379,plain,
    quotient(c,product(c,product(c,product(b,a)))) = product(product(product(b,a),c),c),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(b,a))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_1380,plain,
    quotient(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) = product(c,product(c,product(b,a))),
    inference(subst,[],[sos03:[bind(A,$fot(product(c,product(c,product(b,a))))),bind(B,$fot(product(product(product(c,b),b),b)))]]) ).

cnf(refute_0_1381,plain,
    product(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(c,b),product(product(c,a),b))) = product(c,b),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(c,b),product(product(c,a),b))))]]) ).

cnf(refute_0_1382,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(difference(product(c,b),product(product(c,a),b)),product(c,b)),product(c,b)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(product(c,a),b))),bind(X_18,$fot(product(c,b)))]]) ).

cnf(refute_0_1383,plain,
    difference(product(product(c,b),product(c,b)),bigC(product(c,b),product(c,b),product(a,c))) = product(product(a,c),product(c,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(product(c,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_1384,plain,
    ( bigC(product(c,b),product(c,b),product(a,c)) != product(product(c,a),b)
    | difference(product(product(c,b),product(c,b)),bigC(product(c,b),product(c,b),product(a,c))) != product(product(a,c),product(c,b))
    | difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(c,b)),bigC(product(c,b),product(c,b),product(a,c))),product(product(a,c),product(c,b))) ),[0,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1385,plain,
    ( difference(product(product(c,b),product(c,b)),bigC(product(c,b),product(c,b),product(a,c))) != product(product(a,c),product(c,b))
    | difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),product(a,c)),product(product(c,a),b)) )],[refute_0_963,refute_0_1384]) ).

cnf(refute_0_1386,plain,
    difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = product(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(c,b)),bigC(product(c,b),product(c,b),product(a,c))),product(product(a,c),product(c,b))) )],[refute_0_1383,refute_0_1385]) ).

cnf(refute_0_1387,plain,
    difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = difference(product(product(c,b),product(c,b)),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(c,b)),product(product(c,a),b)))]]) ).

cnf(refute_0_1388,plain,
    ( difference(product(product(c,b),product(c,b)),product(product(c,a),b)) != difference(product(product(c,b),product(c,b)),product(product(c,a),b))
    | product(product(c,b),product(c,b)) != product(c,b)
    | difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = difference(product(c,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(c,b)),product(product(c,a),b)),difference(product(product(c,b),product(c,b)),product(product(c,a),b))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_1389,plain,
    ( product(product(c,b),product(c,b)) != product(c,b)
    | difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = difference(product(c,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(c,b)),product(product(c,a),b)),difference(product(product(c,b),product(c,b)),product(product(c,a),b))) )],[refute_0_1387,refute_0_1388]) ).

cnf(refute_0_1390,plain,
    difference(product(product(c,b),product(c,b)),product(product(c,a),b)) = difference(product(c,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,b)),product(c,b)) )],[refute_0_987,refute_0_1389]) ).

cnf(refute_0_1391,plain,
    ( difference(product(product(c,b),product(c,b)),product(product(c,a),b)) != difference(product(c,b),product(product(c,a),b))
    | difference(product(product(c,b),product(c,b)),product(product(c,a),b)) != product(product(a,c),product(c,b))
    | difference(product(c,b),product(product(c,a),b)) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(c,b)),product(product(c,a),b)),product(product(a,c),product(c,b))) ),[0],$fot(difference(product(c,b),product(product(c,a),b)))]]) ).

cnf(refute_0_1392,plain,
    ( difference(product(product(c,b),product(c,b)),product(product(c,a),b)) != product(product(a,c),product(c,b))
    | difference(product(c,b),product(product(c,a),b)) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(c,b)),product(product(c,a),b)),difference(product(c,b),product(product(c,a),b))) )],[refute_0_1390,refute_0_1391]) ).

cnf(refute_0_1393,plain,
    ( difference(product(c,b),product(product(c,a),b)) != product(product(a,c),product(c,b))
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(c,b),product(product(c,a),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,b),product(product(c,a),b)),product(a,b)) ),[0],$fot(product(product(a,c),product(c,b)))]]) ).

cnf(refute_0_1394,plain,
    ( difference(product(c,b),product(product(c,a),b)) != product(product(a,c),product(c,b))
    | difference(product(c,b),product(product(c,a),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_1393]) ).

cnf(refute_0_1395,plain,
    ( difference(product(product(c,b),product(c,b)),product(product(c,a),b)) != product(product(a,c),product(c,b))
    | difference(product(c,b),product(product(c,a),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),product(product(a,c),product(c,b))) )],[refute_0_1392,refute_0_1394]) ).

cnf(refute_0_1396,plain,
    difference(product(c,b),product(product(c,a),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(c,b)),product(product(c,a),b)),product(product(a,c),product(c,b))) )],[refute_0_1386,refute_0_1395]) ).

cnf(refute_0_1397,plain,
    ( difference(product(c,b),product(product(c,a),b)) != product(a,b)
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(difference(product(c,b),product(product(c,a),b)),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(product(a,b),product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(difference(product(c,b),product(product(c,a),b)),product(c,b)),product(c,b))) ),[1,0,0],$fot(product(a,b))]]) ).

cnf(refute_0_1398,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(difference(product(c,b),product(product(c,a),b)),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(product(a,b),product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),product(a,b)) )],[refute_0_1396,refute_0_1397]) ).

cnf(refute_0_1399,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(product(a,b),product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(difference(product(c,b),product(product(c,a),b)),product(c,b)),product(c,b))) )],[refute_0_1382,refute_0_1398]) ).

cnf(refute_0_1400,plain,
    product(product(product(a,b),product(c,b)),product(c,b)) = product(product(product(a,b),c),product(product(c,b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_1401,plain,
    ( product(product(product(a,b),product(c,b)),product(c,b)) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(product(a,b),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(product(a,b),c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(product(a,b),product(c,b)),product(c,b))) ),[1],$fot(product(product(product(a,b),c),product(product(c,b),b)))]]) ).

cnf(refute_0_1402,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(product(a,b),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(product(a,b),c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_1400,refute_0_1401]) ).

cnf(refute_0_1403,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = product(product(product(a,b),c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(product(a,b),product(c,b)),product(c,b))) )],[refute_0_1399,refute_0_1402]) ).

cnf(refute_0_1404,plain,
    ( product(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(c,b),product(product(c,a),b))) != product(c,b)
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(product(a,b),c),product(product(c,b),b))
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(c,b),product(product(c,a),b))),product(c,b)) ),[0,0],$fot(product(product(product(a,b),c),product(product(c,b),b)))]]) ).

cnf(refute_0_1405,plain,
    ( product(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(c,b),product(product(c,a),b))) != product(c,b)
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_1403,refute_0_1404]) ).

cnf(refute_0_1406,plain,
    product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(c,b),product(product(c,a),b))),product(c,b)) )],[refute_0_1381,refute_0_1405]) ).

cnf(refute_0_1407,plain,
    product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(product(a,b),c))),bind(B,$fot(product(c,b))),bind(C,$fot(product(product(c,b),b))),bind(D,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_1408,plain,
    ( product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) != product(c,b)
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),product(c,b)) ),[0],$fot(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))))]]) ).

cnf(refute_0_1409,plain,
    ( product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) != product(c,b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))) )],[refute_0_1407,refute_0_1408]) ).

cnf(refute_0_1410,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),product(c,b)) )],[refute_0_1406,refute_0_1409]) ).

cnf(refute_0_1411,plain,
    product(product(c,b),product(c,a)) = product(c,product(b,a)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_1412,plain,
    product(product(product(c,b),product(c,a)),b) = product(product(product(c,b),product(c,a)),b),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(c,a)),b))]]) ).

cnf(refute_0_1413,plain,
    ( product(product(c,b),product(c,a)) != product(c,product(b,a))
    | product(product(product(c,b),product(c,a)),b) != product(product(product(c,b),product(c,a)),b)
    | product(product(product(c,b),product(c,a)),b) = product(product(c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(c,a)),b),product(product(product(c,b),product(c,a)),b)) ),[1,0],$fot(product(c,product(b,a)))]]) ).

cnf(refute_0_1414,plain,
    ( product(product(c,b),product(c,a)) != product(c,product(b,a))
    | product(product(product(c,b),product(c,a)),b) = product(product(c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(c,a)),b),product(product(product(c,b),product(c,a)),b)) )],[refute_0_1412,refute_0_1413]) ).

cnf(refute_0_1415,plain,
    product(product(product(c,b),product(c,a)),b) = product(product(c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,a)),product(c,product(b,a))) )],[refute_0_1411,refute_0_1414]) ).

cnf(refute_0_1416,plain,
    product(product(product(c,b),b),product(product(c,a),b)) = product(product(product(c,b),product(c,a)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(c,b))),bind(X_64,$fot(product(c,a))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_1417,plain,
    ( product(product(product(c,b),b),product(product(c,a),b)) != product(product(product(c,b),product(c,a)),b)
    | product(product(product(c,b),product(c,a)),b) != product(product(c,product(b,a)),b)
    | product(product(product(c,b),b),product(product(c,a),b)) = product(product(c,product(b,a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(product(c,a),b)))),bind(Y,$fot(product(product(product(c,b),product(c,a)),b))),bind(Z,$fot(product(product(c,product(b,a)),b)))]]) ).

cnf(refute_0_1418,plain,
    ( product(product(product(c,b),product(c,a)),b) != product(product(c,product(b,a)),b)
    | product(product(product(c,b),b),product(product(c,a),b)) = product(product(c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(c,a),b)),product(product(product(c,b),product(c,a)),b)) )],[refute_0_1416,refute_0_1417]) ).

cnf(refute_0_1419,plain,
    product(product(product(c,b),b),product(product(c,a),b)) = product(product(c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(c,a)),b),product(product(c,product(b,a)),b)) )],[refute_0_1415,refute_0_1418]) ).

cnf(refute_0_1420,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))))]]) ).

cnf(refute_0_1421,plain,
    ( product(product(product(c,b),b),product(product(c,a),b)) != product(product(c,product(b,a)),b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))) ),[1,1],$fot(product(product(c,product(b,a)),b))]]) ).

cnf(refute_0_1422,plain,
    ( product(product(product(c,b),b),product(product(c,a),b)) != product(product(c,product(b,a)),b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))) )],[refute_0_1420,refute_0_1421]) ).

cnf(refute_0_1423,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(c,a),b)),product(product(c,product(b,a)),b)) )],[refute_0_1419,refute_0_1422]) ).

cnf(refute_0_1424,plain,
    ( product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(c,b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(c,b)) ),[0],$fot(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)))]]) ).

cnf(refute_0_1425,plain,
    ( product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(c,b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b))) )],[refute_0_1423,refute_0_1424]) ).

cnf(refute_0_1426,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(c,b)) )],[refute_0_1410,refute_0_1425]) ).

cnf(refute_0_1427,plain,
    product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)) = product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(c)),bind(B,$fot(product(c,product(b,a)))),bind(C,$fot(product(product(c,b),b))),bind(D,$fot(b))]]) ).

cnf(refute_0_1428,plain,
    product(product(c,c),product(product(c,b),b)) = product(product(c,c),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,b),b)))]]) ).

cnf(refute_0_1429,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,b),b)) != product(product(c,c),product(product(c,b),b))
    | product(product(c,c),product(product(c,b),b)) = product(c,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,b),b)),product(product(c,c),product(product(c,b),b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1430,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,b),b)) = product(c,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),b)),product(product(c,c),product(product(c,b),b))) )],[refute_0_1428,refute_0_1429]) ).

cnf(refute_0_1431,plain,
    product(product(c,c),product(product(c,b),b)) = product(c,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_1430]) ).

cnf(refute_0_1432,plain,
    product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(bigC(c,a,b),product(c,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(c,a,b))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_1433,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(bigC(c,a,b),product(c,b)),product(B,D))
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(product(c,a),b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(bigC(c,a,b),product(c,b)),product(B,D))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1434,plain,
    ( product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(bigC(c,a,b),product(c,b)),product(B,D))
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(product(c,a),b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_1433]) ).

cnf(refute_0_1435,plain,
    product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(product(c,a),b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(bigC(c,a,b),product(c,b)),product(B,D))) )],[refute_0_1432,refute_0_1434]) ).

cnf(refute_0_1436,plain,
    product(bigC(c,a,b),B) = product(bigC(c,a,b),B),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),B))]]) ).

cnf(refute_0_1437,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),B) != product(bigC(c,a,b),B)
    | product(bigC(c,a,b),B) = product(c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),B),product(bigC(c,a,b),B)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1438,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),B) = product(c,B) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),B),product(bigC(c,a,b),B)) )],[refute_0_1436,refute_0_1437]) ).

cnf(refute_0_1439,plain,
    product(bigC(c,a,b),B) = product(c,B),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1438]) ).

cnf(refute_0_1440,plain,
    product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(bigC(c,a,b),B),product(product(c,b),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),B),product(product(c,b),D)))]]) ).

cnf(refute_0_1441,plain,
    ( product(bigC(c,a,b),B) != product(c,B)
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(bigC(c,a,b),B),product(product(c,b),D))
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(c,B),product(product(c,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(bigC(c,a,b),B),product(product(c,b),D))) ),[1,0],$fot(product(c,B))]]) ).

cnf(refute_0_1442,plain,
    ( product(bigC(c,a,b),B) != product(c,B)
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(c,B),product(product(c,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(bigC(c,a,b),B),product(product(c,b),D))) )],[refute_0_1440,refute_0_1441]) ).

cnf(refute_0_1443,plain,
    product(product(bigC(c,a,b),B),product(product(c,b),D)) = product(product(c,B),product(product(c,b),D)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),B),product(c,B)) )],[refute_0_1439,refute_0_1442]) ).

cnf(refute_0_1444,plain,
    ( product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(c,B),product(product(c,b),D))
    | product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(product(c,a),b),product(B,D))
    | product(product(c,B),product(product(c,b),D)) = product(product(product(c,a),b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(product(c,a),b),product(B,D))) ),[0],$fot(product(product(c,B),product(product(c,b),D)))]]) ).

cnf(refute_0_1445,plain,
    ( product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(product(c,a),b),product(B,D))
    | product(product(c,B),product(product(c,b),D)) = product(product(product(c,a),b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(c,B),product(product(c,b),D))) )],[refute_0_1443,refute_0_1444]) ).

cnf(refute_0_1446,plain,
    product(product(product(c,a),b),product(B,D)) = product(product(product(c,a),b),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),product(B,D)))]]) ).

cnf(refute_0_1447,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),product(B,D)) != product(product(product(c,a),b),product(B,D))
    | product(product(product(c,a),b),product(B,D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),product(B,D)),product(product(product(c,a),b),product(B,D))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1448,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),product(B,D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(B,D)),product(product(product(c,a),b),product(B,D))) )],[refute_0_1446,refute_0_1447]) ).

cnf(refute_0_1449,plain,
    product(product(product(c,a),b),product(B,D)) = product(product(c,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1448]) ).

cnf(refute_0_1450,plain,
    ( product(product(c,B),product(product(c,b),D)) != product(product(product(c,a),b),product(B,D))
    | product(product(product(c,a),b),product(B,D)) != product(product(c,product(c,b)),product(B,D))
    | product(product(c,B),product(product(c,b),D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,B),product(product(c,b),D)),product(product(c,product(c,b)),product(B,D))) ),[0],$fot(product(product(product(c,a),b),product(B,D)))]]) ).

cnf(refute_0_1451,plain,
    ( product(product(c,B),product(product(c,b),D)) != product(product(product(c,a),b),product(B,D))
    | product(product(c,B),product(product(c,b),D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(B,D)),product(product(c,product(c,b)),product(B,D))) )],[refute_0_1449,refute_0_1450]) ).

cnf(refute_0_1452,plain,
    ( product(product(bigC(c,a,b),B),product(product(c,b),D)) != product(product(product(c,a),b),product(B,D))
    | product(product(c,B),product(product(c,b),D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,b),D)),product(product(product(c,a),b),product(B,D))) )],[refute_0_1445,refute_0_1451]) ).

cnf(refute_0_1453,plain,
    product(product(c,B),product(product(c,b),D)) = product(product(c,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),B),product(product(c,b),D)),product(product(product(c,a),b),product(B,D))) )],[refute_0_1435,refute_0_1452]) ).

cnf(refute_0_1454,plain,
    ( product(product(c,B),product(product(c,b),D)) != product(product(c,product(c,b)),product(B,D))
    | product(product(c,product(c,b)),product(B,D)) = product(product(c,B),product(product(c,b),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,B),product(product(c,b),D)))),bind(Y,$fot(product(product(c,product(c,b)),product(B,D))))]]) ).

cnf(refute_0_1455,plain,
    product(product(c,product(c,b)),product(B,D)) = product(product(c,B),product(product(c,b),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(c,b),D)),product(product(c,product(c,b)),product(B,D))) )],[refute_0_1453,refute_0_1454]) ).

cnf(refute_0_1456,plain,
    product(product(c,product(c,b)),product(c,b)) = product(product(c,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_1455:[bind(B,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_1457,plain,
    ( product(product(c,c),product(product(c,b),b)) != product(c,product(product(c,b),b))
    | product(product(c,product(c,b)),product(c,b)) != product(product(c,c),product(product(c,b),b))
    | product(product(c,product(c,b)),product(c,b)) = product(c,product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(c,b)))),bind(Y,$fot(product(product(c,c),product(product(c,b),b)))),bind(Z,$fot(product(c,product(product(c,b),b))))]]) ).

cnf(refute_0_1458,plain,
    ( product(product(c,c),product(product(c,b),b)) != product(c,product(product(c,b),b))
    | product(product(c,product(c,b)),product(c,b)) = product(c,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,b)),product(product(c,c),product(product(c,b),b))) )],[refute_0_1456,refute_0_1457]) ).

cnf(refute_0_1459,plain,
    product(product(c,product(c,b)),product(c,b)) = product(c,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),b)),product(c,product(product(c,b),b))) )],[refute_0_1431,refute_0_1458]) ).

cnf(refute_0_1460,plain,
    product(product(product(a,b),c),product(c,b)) = product(product(product(a,b),c),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),product(c,b)))]]) ).

cnf(refute_0_1461,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),product(c,b)) != product(product(product(a,b),c),product(c,b))
    | product(product(product(a,b),c),product(c,b)) = product(product(c,product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),product(c,b)),product(product(product(a,b),c),product(c,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1462,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),product(c,b)) = product(product(c,product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,b)),product(product(product(a,b),c),product(c,b))) )],[refute_0_1460,refute_0_1461]) ).

cnf(refute_0_1463,plain,
    product(product(product(a,b),c),product(c,b)) = product(product(c,product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_1462]) ).

cnf(refute_0_1464,plain,
    ( product(product(c,product(c,b)),product(c,b)) != product(c,product(product(c,b),b))
    | product(product(product(a,b),c),product(c,b)) != product(product(c,product(c,b)),product(c,b))
    | product(product(product(a,b),c),product(c,b)) = product(c,product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),product(c,b)))),bind(Y,$fot(product(product(c,product(c,b)),product(c,b)))),bind(Z,$fot(product(c,product(product(c,b),b))))]]) ).

cnf(refute_0_1465,plain,
    ( product(product(c,product(c,b)),product(c,b)) != product(c,product(product(c,b),b))
    | product(product(product(a,b),c),product(c,b)) = product(c,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,b)),product(product(c,product(c,b)),product(c,b))) )],[refute_0_1463,refute_0_1464]) ).

cnf(refute_0_1466,plain,
    product(product(product(a,b),c),product(c,b)) = product(c,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,b)),product(c,product(product(c,b),b))) )],[refute_0_1459,refute_0_1465]) ).

cnf(refute_0_1467,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)))]]) ).

cnf(refute_0_1468,plain,
    ( product(product(product(a,b),c),product(c,b)) != product(c,product(product(c,b),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) != product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b))) ),[1,0],$fot(product(c,product(product(c,b),b)))]]) ).

cnf(refute_0_1469,plain,
    ( product(product(product(a,b),c),product(c,b)) != product(c,product(product(c,b),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b))) )],[refute_0_1467,refute_0_1468]) ).

cnf(refute_0_1470,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,b)),product(c,product(product(c,b),b))) )],[refute_0_1466,refute_0_1469]) ).

cnf(refute_0_1471,plain,
    ( product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)) != product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) != product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)))),bind(Y,$fot(product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)))),bind(Z,$fot(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b))))]]) ).

cnf(refute_0_1472,plain,
    ( product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)) != product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b))) )],[refute_0_1470,refute_0_1471]) ).

cnf(refute_0_1473,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) = product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,b),b)),product(product(c,product(b,a)),b)),product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b))) )],[refute_0_1427,refute_0_1472]) ).

cnf(refute_0_1474,plain,
    ( product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) != product(c,b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) != product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b))
    | product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),product(c,b)) ),[0],$fot(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)))]]) ).

cnf(refute_0_1475,plain,
    ( product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)) != product(c,b)
    | product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b))) )],[refute_0_1473,refute_0_1474]) ).

cnf(refute_0_1476,plain,
    product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(c,product(b,a)),b)),product(c,b)) )],[refute_0_1426,refute_0_1475]) ).

cnf(refute_0_1477,plain,
    ( product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)) != product(c,b)
    | quotient(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) != product(c,product(c,product(b,a)))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(c,product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)),product(c,product(c,product(b,a)))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_1478,plain,
    ( quotient(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) != product(c,product(c,product(b,a)))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(c,product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),product(c,b)) )],[refute_0_1476,refute_0_1477]) ).

cnf(refute_0_1479,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = product(c,product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,product(b,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)),product(c,product(c,product(b,a)))) )],[refute_0_1380,refute_0_1478]) ).

cnf(refute_0_1480,plain,
    quotient(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) = product(product(product(a,b),c),product(c,product(c,a))),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(product(a,b),c),product(c,product(c,a))))),bind(B,$fot(product(product(product(c,b),b),b)))]]) ).

cnf(refute_0_1481,plain,
    product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),
    inference(subst,[],[sos05:[bind(A,$fot(product(product(a,b),c))),bind(B,$fot(product(c,b))),bind(C,$fot(product(product(c,b),b))),bind(D,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_1482,plain,
    ( product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(c,b)
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))
    | product(c,b) = product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_1483,plain,
    ( product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))
    | product(c,b) = product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(c,b)) )],[refute_0_1410,refute_0_1482]) ).

cnf(refute_0_1484,plain,
    product(c,b) = product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))) )],[refute_0_1481,refute_0_1483]) ).

cnf(refute_0_1485,plain,
    product(product(product(c,b),b),product(b,b)) = product(product(product(c,b),b),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(c,b))),bind(X_64,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_1486,plain,
    product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))))]]) ).

cnf(refute_0_1487,plain,
    ( product(product(product(c,b),b),product(b,b)) != product(product(product(c,b),b),b)
    | product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) != product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b)))
    | product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b)))) ),[1,1],$fot(product(product(product(c,b),b),b))]]) ).

cnf(refute_0_1488,plain,
    ( product(product(product(c,b),b),product(b,b)) != product(product(product(c,b),b),b)
    | product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b)))) )],[refute_0_1486,refute_0_1487]) ).

cnf(refute_0_1489,plain,
    product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(b,b)),product(product(product(c,b),b),b)) )],[refute_0_1485,refute_0_1488]) ).

cnf(refute_0_1490,plain,
    product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))),
    inference(subst,[],[refute_0_1229:[bind(A,$fot(product(product(a,b),c))),bind(C,$fot(product(product(c,b),b))),bind(X_63,$fot(c)),bind(X_64,$fot(product(c,a))),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_1491,plain,
    ( product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) != product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b)))
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))))),bind(Y,$fot(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))))),bind(Z,$fot(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))))]]) ).

cnf(refute_0_1492,plain,
    ( product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))) != product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b)))) )],[refute_0_1490,refute_0_1491]) ).

cnf(refute_0_1493,plain,
    product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),product(b,b))),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))) )],[refute_0_1489,refute_0_1492]) ).

cnf(refute_0_1494,plain,
    ( product(c,b) != product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))
    | product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))) != product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))
    | product(c,b) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,b),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))) ),[0],$fot(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))))]]) ).

cnf(refute_0_1495,plain,
    ( product(c,b) != product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))
    | product(c,b) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b))),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))) )],[refute_0_1493,refute_0_1494]) ).

cnf(refute_0_1496,plain,
    product(c,b) = product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(product(product(a,b),c),product(product(c,b),b)),product(product(c,b),product(product(c,a),b)))) )],[refute_0_1484,refute_0_1495]) ).

cnf(refute_0_1497,plain,
    ( product(c,b) != product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))
    | product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))))]]) ).

cnf(refute_0_1498,plain,
    product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b))) )],[refute_0_1496,refute_0_1497]) ).

cnf(refute_0_1499,plain,
    ( product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)) != product(c,b)
    | quotient(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) != product(product(product(a,b),c),product(c,product(c,a)))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(product(product(a,b),c),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)),product(product(product(a,b),c),product(c,product(c,a)))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_1500,plain,
    ( quotient(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) != product(product(product(a,b),c),product(c,product(c,a)))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(product(product(a,b),c),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),product(c,b)) )],[refute_0_1498,refute_0_1499]) ).

cnf(refute_0_1501,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = product(product(product(a,b),c),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)),product(product(product(a,b),c),product(c,product(c,a)))) )],[refute_0_1480,refute_0_1500]) ).

cnf(refute_0_1502,plain,
    bigC(product(c,a),b,C) = product(product(product(c,a),b),product(C,product(c,a))),
    inference(subst,[],[sos08:[bind(A,$fot(product(c,a))),bind(B,$fot(b))]]) ).

cnf(refute_0_1503,plain,
    ( bigC(product(c,a),b,C) != product(product(product(c,a),b),product(C,product(c,a)))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(c,a),b,C) = product(product(c,product(c,b)),product(C,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),b,C),product(product(product(c,a),b),product(C,product(c,a)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1504,plain,
    ( bigC(product(c,a),b,C) != product(product(product(c,a),b),product(C,product(c,a)))
    | bigC(product(c,a),b,C) = product(product(c,product(c,b)),product(C,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1503]) ).

cnf(refute_0_1505,plain,
    bigC(product(c,a),b,C) = product(product(c,product(c,b)),product(C,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,C),product(product(product(c,a),b),product(C,product(c,a)))) )],[refute_0_1502,refute_0_1504]) ).

cnf(refute_0_1506,plain,
    ( bigC(product(c,a),b,C) != product(product(c,product(c,b)),product(C,product(c,a)))
    | product(product(c,product(c,b)),product(C,product(c,a))) = bigC(product(c,a),b,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(c,a),b,C))),bind(Y,$fot(product(product(c,product(c,b)),product(C,product(c,a)))))]]) ).

cnf(refute_0_1507,plain,
    product(product(c,product(c,b)),product(C,product(c,a))) = bigC(product(c,a),b,C),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,C),product(product(c,product(c,b)),product(C,product(c,a)))) )],[refute_0_1505,refute_0_1506]) ).

cnf(refute_0_1508,plain,
    product(product(c,product(c,b)),product(c,product(c,a))) = bigC(product(c,a),b,c),
    inference(subst,[],[refute_0_1507:[bind(C,$fot(c))]]) ).

cnf(refute_0_1509,plain,
    product(product(product(a,b),c),product(c,product(c,a))) = product(product(product(a,b),c),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),product(c,product(c,a))))]]) ).

cnf(refute_0_1510,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),product(c,product(c,a))) != product(product(product(a,b),c),product(c,product(c,a)))
    | product(product(product(a,b),c),product(c,product(c,a))) = product(product(c,product(c,b)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(a,b),c),product(c,product(c,a)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1511,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),product(c,product(c,a))) = product(product(c,product(c,b)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,product(c,a))),product(product(product(a,b),c),product(c,product(c,a)))) )],[refute_0_1509,refute_0_1510]) ).

cnf(refute_0_1512,plain,
    product(product(product(a,b),c),product(c,product(c,a))) = product(product(c,product(c,b)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_1511]) ).

cnf(refute_0_1513,plain,
    ( product(product(c,product(c,b)),product(c,product(c,a))) != bigC(product(c,a),b,c)
    | product(product(product(a,b),c),product(c,product(c,a))) != product(product(c,product(c,b)),product(c,product(c,a)))
    | product(product(product(a,b),c),product(c,product(c,a))) = bigC(product(c,a),b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),product(c,product(c,a))))),bind(Y,$fot(product(product(c,product(c,b)),product(c,product(c,a))))),bind(Z,$fot(bigC(product(c,a),b,c)))]]) ).

cnf(refute_0_1514,plain,
    ( product(product(c,product(c,b)),product(c,product(c,a))) != bigC(product(c,a),b,c)
    | product(product(product(a,b),c),product(c,product(c,a))) = bigC(product(c,a),b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,product(c,a))),product(product(c,product(c,b)),product(c,product(c,a)))) )],[refute_0_1512,refute_0_1513]) ).

cnf(refute_0_1515,plain,
    product(product(product(a,b),c),product(c,product(c,a))) = bigC(product(c,a),b,c),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,product(c,a))),bigC(product(c,a),b,c)) )],[refute_0_1508,refute_0_1514]) ).

cnf(refute_0_1516,plain,
    ( product(product(product(a,b),c),product(c,product(c,a))) != bigC(product(c,a),b,c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) != product(product(product(a,b),c),product(c,product(c,a)))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(product(c,a),b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(product(product(a,b),c),product(c,product(c,a)))) ),[1],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_1517,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != product(product(product(a,b),c),product(c,product(c,a)))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(product(c,a),b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,product(c,a))),bigC(product(c,a),b,c)) )],[refute_0_1515,refute_0_1516]) ).

cnf(refute_0_1518,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(product(c,a),b,c),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(product(product(a,b),c),product(c,product(c,a)))) )],[refute_0_1501,refute_0_1517]) ).

cnf(refute_0_1519,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(product(c,a),b,c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) != product(c,product(c,product(b,a)))
    | bigC(product(c,a),b,c) = product(c,product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(c,product(c,product(b,a)))) ),[0],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_1520,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != product(c,product(c,product(b,a)))
    | bigC(product(c,a),b,c) = product(c,product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(product(c,a),b,c)) )],[refute_0_1518,refute_0_1519]) ).

cnf(refute_0_1521,plain,
    bigC(product(c,a),b,c) = product(c,product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(c,product(c,product(b,a)))) )],[refute_0_1479,refute_0_1520]) ).

cnf(refute_0_1522,plain,
    ( bigC(product(c,a),b,c) != product(c,product(c,product(b,a)))
    | product(c,product(c,product(b,a))) = bigC(product(c,a),b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(c,a),b,c))),bind(Y,$fot(product(c,product(c,product(b,a)))))]]) ).

cnf(refute_0_1523,plain,
    product(c,product(c,product(b,a))) = bigC(product(c,a),b,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),product(c,product(c,product(b,a)))) )],[refute_0_1521,refute_0_1522]) ).

cnf(refute_0_1524,plain,
    ( product(c,product(c,product(b,a))) != bigC(product(c,a),b,c)
    | quotient(c,product(c,product(c,product(b,a)))) != product(product(product(b,a),c),c)
    | quotient(c,bigC(product(c,a),b,c)) = product(product(product(b,a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,product(b,a)))),product(product(product(b,a),c),c)) ),[0,1],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_1525,plain,
    ( quotient(c,product(c,product(c,product(b,a)))) != product(product(product(b,a),c),c)
    | quotient(c,bigC(product(c,a),b,c)) = product(product(product(b,a),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(b,a))),bigC(product(c,a),b,c)) )],[refute_0_1523,refute_0_1524]) ).

cnf(refute_0_1526,plain,
    quotient(c,bigC(product(c,a),b,c)) = product(product(product(b,a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,product(b,a)))),product(product(product(b,a),c),c)) )],[refute_0_1379,refute_0_1525]) ).

cnf(refute_0_1527,plain,
    bigC(quotient(bigC(a,a,b),c),c,X_23) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(a,a,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_1528,plain,
    quotient(bigC(c,a,c),c) = product(c,a),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(c)),bind(X_77,$fot(a))]]) ).

cnf(refute_0_1529,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(bigC(c,a,c),c) != product(c,a)
    | quotient(bigC(a,a,b),c) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),c),product(c,a)) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1530,plain,
    ( quotient(bigC(c,a,c),c) != product(c,a)
    | quotient(bigC(a,a,b),c) = product(c,a) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_1529]) ).

cnf(refute_0_1531,plain,
    quotient(bigC(a,a,b),c) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),c),product(c,a)) )],[refute_0_1528,refute_0_1530]) ).

cnf(refute_0_1532,plain,
    ( bigC(quotient(bigC(a,a,b),c),c,X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(product(c,a),c,X_23) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),c,X_23),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_1533,plain,
    ( bigC(quotient(bigC(a,a,b),c),c,X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | bigC(product(c,a),c,X_23) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_1531,refute_0_1532]) ).

cnf(refute_0_1534,plain,
    bigC(product(c,a),c,X_23) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),c,X_23),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))) )],[refute_0_1527,refute_0_1533]) ).

cnf(refute_0_1535,plain,
    bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_23) = product(bigC(a,a,b),product(X_23,product(c,a))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(a,a,b))),bind(X_21,$fot(product(c,a)))]]) ).

cnf(refute_0_1536,plain,
    difference(product(c,a),bigC(c,a,c)) = product(c,c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_1537,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(product(c,a),bigC(c,a,c)) != product(c,c)
    | difference(product(c,a),bigC(a,a,b)) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),bigC(c,a,c)),product(c,c)) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1538,plain,
    ( difference(product(c,a),bigC(c,a,c)) != product(c,c)
    | difference(product(c,a),bigC(a,a,b)) = product(c,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_1537]) ).

cnf(refute_0_1539,plain,
    difference(product(c,a),bigC(a,a,b)) = product(c,c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(c,a,c)),product(c,c)) )],[refute_0_1536,refute_0_1538]) ).

cnf(refute_0_1540,plain,
    ( difference(product(c,a),bigC(a,a,b)) != product(c,c)
    | product(c,c) != c
    | difference(product(c,a),bigC(a,a,b)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,a),bigC(a,a,b)),c) ),[0],$fot(product(c,c))]]) ).

cnf(refute_0_1541,plain,
    ( difference(product(c,a),bigC(a,a,b)) != product(c,c)
    | difference(product(c,a),bigC(a,a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_1540]) ).

cnf(refute_0_1542,plain,
    difference(product(c,a),bigC(a,a,b)) = c,
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),product(c,c)) )],[refute_0_1539,refute_0_1541]) ).

cnf(refute_0_1543,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,product(c,a)))
    | difference(product(c,a),bigC(a,a,b)) != c
    | bigC(product(c,a),c,X_23) = product(bigC(a,a,b),product(X_23,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,product(c,a)))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_1544,plain,
    ( bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,product(c,a)))
    | bigC(product(c,a),c,X_23) = product(bigC(a,a,b),product(X_23,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_1542,refute_0_1543]) ).

cnf(refute_0_1545,plain,
    bigC(product(c,a),c,X_23) = product(bigC(a,a,b),product(X_23,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),difference(product(c,a),bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,product(c,a)))) )],[refute_0_1535,refute_0_1544]) ).

cnf(refute_0_1546,plain,
    bigC(product(a,a),X_23,product(b,c)) = bigC(product(a,a),X_23,product(b,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_23,product(b,c)))]]) ).

cnf(refute_0_1547,plain,
    ( bigC(product(a,a),X_23,product(b,c)) != bigC(product(a,a),X_23,product(b,c))
    | product(a,a) != a
    | bigC(product(a,a),X_23,product(b,c)) = bigC(a,X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_23,product(b,c)),bigC(product(a,a),X_23,product(b,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_1548,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_23,product(b,c)) = bigC(a,X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,c)),bigC(product(a,a),X_23,product(b,c))) )],[refute_0_1546,refute_0_1547]) ).

cnf(refute_0_1549,plain,
    bigC(product(a,a),X_23,product(b,c)) = bigC(a,X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_1548]) ).

cnf(refute_0_1550,plain,
    product(bigC(a,a,b),product(X_23,product(c,a))) = bigC(product(a,a),X_23,product(b,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_23)),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_1551,plain,
    ( bigC(product(a,a),X_23,product(b,c)) != bigC(a,X_23,product(b,c))
    | product(bigC(a,a,b),product(X_23,product(c,a))) != bigC(product(a,a),X_23,product(b,c))
    | product(bigC(a,a,b),product(X_23,product(c,a))) = bigC(a,X_23,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(X_23,product(c,a))))),bind(Y,$fot(bigC(product(a,a),X_23,product(b,c)))),bind(Z,$fot(bigC(a,X_23,product(b,c))))]]) ).

cnf(refute_0_1552,plain,
    ( bigC(product(a,a),X_23,product(b,c)) != bigC(a,X_23,product(b,c))
    | product(bigC(a,a,b),product(X_23,product(c,a))) = bigC(a,X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,product(c,a))),bigC(product(a,a),X_23,product(b,c))) )],[refute_0_1550,refute_0_1551]) ).

cnf(refute_0_1553,plain,
    product(bigC(a,a,b),product(X_23,product(c,a))) = bigC(a,X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,c)),bigC(a,X_23,product(b,c))) )],[refute_0_1549,refute_0_1552]) ).

cnf(refute_0_1554,plain,
    ( bigC(product(c,a),c,X_23) != product(bigC(a,a,b),product(X_23,product(c,a)))
    | product(bigC(a,a,b),product(X_23,product(c,a))) != bigC(a,X_23,product(b,c))
    | bigC(product(c,a),c,X_23) = bigC(a,X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),c,X_23),bigC(a,X_23,product(b,c))) ),[0],$fot(product(bigC(a,a,b),product(X_23,product(c,a))))]]) ).

cnf(refute_0_1555,plain,
    ( bigC(product(c,a),c,X_23) != product(bigC(a,a,b),product(X_23,product(c,a)))
    | bigC(product(c,a),c,X_23) = bigC(a,X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,product(c,a))),bigC(a,X_23,product(b,c))) )],[refute_0_1553,refute_0_1554]) ).

cnf(refute_0_1556,plain,
    bigC(product(c,a),c,X_23) = bigC(a,X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,X_23),product(bigC(a,a,b),product(X_23,product(c,a)))) )],[refute_0_1545,refute_0_1555]) ).

cnf(refute_0_1557,plain,
    ( bigC(product(c,a),c,X_23) != bigC(a,X_23,product(b,c))
    | bigC(product(c,a),c,X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | bigC(a,X_23,product(b,c)) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),c,X_23),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))) ),[0],$fot(bigC(a,X_23,product(b,c)))]]) ).

cnf(refute_0_1558,plain,
    ( bigC(product(c,a),c,X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | bigC(a,X_23,product(b,c)) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,X_23),bigC(a,X_23,product(b,c))) )],[refute_0_1556,refute_0_1557]) ).

cnf(refute_0_1559,plain,
    bigC(quotient(bigC(a,a,b),c),X_23,c) = bigC(quotient(bigC(a,a,b),c),X_23,c),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,a,b),c),X_23,c))]]) ).

cnf(refute_0_1560,plain,
    ( bigC(quotient(bigC(a,a,b),c),X_23,c) != bigC(quotient(bigC(a,a,b),c),X_23,c)
    | quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(quotient(bigC(a,a,b),c),X_23,c) = bigC(product(c,a),X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),X_23,c),bigC(quotient(bigC(a,a,b),c),X_23,c)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_1561,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | bigC(quotient(bigC(a,a,b),c),X_23,c) = bigC(product(c,a),X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),X_23,c),bigC(quotient(bigC(a,a,b),c),X_23,c)) )],[refute_0_1559,refute_0_1560]) ).

cnf(refute_0_1562,plain,
    bigC(quotient(bigC(a,a,b),c),X_23,c) = bigC(product(c,a),X_23,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_1531,refute_0_1561]) ).

cnf(refute_0_1563,plain,
    bigC(quotient(A,X_22),X_22,X_23) = bigC(quotient(A,X_22),X_23,X_22),
    inference(subst,[],[refute_0_12:[bind(A,$fot(quotient(A,X_22))),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_1564,plain,
    ( bigC(quotient(A,X_22),X_22,X_23) != bigC(quotient(A,X_22),X_23,X_22)
    | bigC(quotient(A,X_22),X_22,X_23) != product(A,product(X_23,quotient(A,X_22)))
    | bigC(quotient(A,X_22),X_23,X_22) = product(A,product(X_23,quotient(A,X_22))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(A,X_22),X_22,X_23),product(A,product(X_23,quotient(A,X_22)))) ),[0],$fot(bigC(quotient(A,X_22),X_23,X_22))]]) ).

cnf(refute_0_1565,plain,
    ( bigC(quotient(A,X_22),X_22,X_23) != product(A,product(X_23,quotient(A,X_22)))
    | bigC(quotient(A,X_22),X_23,X_22) = product(A,product(X_23,quotient(A,X_22))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_22),X_22,X_23),bigC(quotient(A,X_22),X_23,X_22)) )],[refute_0_1563,refute_0_1564]) ).

cnf(refute_0_1566,plain,
    bigC(quotient(A,X_22),X_23,X_22) = product(A,product(X_23,quotient(A,X_22))),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_22),X_22,X_23),product(A,product(X_23,quotient(A,X_22)))) )],[refute_0_1046,refute_0_1565]) ).

cnf(refute_0_1567,plain,
    ( bigC(quotient(A,X_22),X_23,X_22) != product(A,product(X_23,quotient(A,X_22)))
    | product(A,product(X_23,quotient(A,X_22))) = bigC(quotient(A,X_22),X_23,X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(quotient(A,X_22),X_23,X_22))),bind(Y,$fot(product(A,product(X_23,quotient(A,X_22)))))]]) ).

cnf(refute_0_1568,plain,
    product(A,product(X_23,quotient(A,X_22))) = bigC(quotient(A,X_22),X_23,X_22),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_22),X_23,X_22),product(A,product(X_23,quotient(A,X_22)))) )],[refute_0_1566,refute_0_1567]) ).

cnf(refute_0_1569,plain,
    product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) = bigC(quotient(bigC(a,a,b),c),X_23,c),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(bigC(a,a,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_1570,plain,
    ( bigC(quotient(bigC(a,a,b),c),X_23,c) != bigC(product(c,a),X_23,c)
    | product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) != bigC(quotient(bigC(a,a,b),c),X_23,c)
    | product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) = bigC(product(c,a),X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))))),bind(Y,$fot(bigC(quotient(bigC(a,a,b),c),X_23,c))),bind(Z,$fot(bigC(product(c,a),X_23,c)))]]) ).

cnf(refute_0_1571,plain,
    ( bigC(quotient(bigC(a,a,b),c),X_23,c) != bigC(product(c,a),X_23,c)
    | product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) = bigC(product(c,a),X_23,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))),bigC(quotient(bigC(a,a,b),c),X_23,c)) )],[refute_0_1569,refute_0_1570]) ).

cnf(refute_0_1572,plain,
    product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) = bigC(product(c,a),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),c),X_23,c),bigC(product(c,a),X_23,c)) )],[refute_0_1562,refute_0_1571]) ).

cnf(refute_0_1573,plain,
    ( bigC(a,X_23,product(b,c)) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))) != bigC(product(c,a),X_23,c)
    | bigC(a,X_23,product(b,c)) = bigC(product(c,a),X_23,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_23,product(b,c)),bigC(product(c,a),X_23,c)) ),[0],$fot(product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))))]]) ).

cnf(refute_0_1574,plain,
    ( bigC(a,X_23,product(b,c)) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | bigC(a,X_23,product(b,c)) = bigC(product(c,a),X_23,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c))),bigC(product(c,a),X_23,c)) )],[refute_0_1572,refute_0_1573]) ).

cnf(refute_0_1575,plain,
    ( bigC(product(c,a),c,X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))
    | bigC(a,X_23,product(b,c)) = bigC(product(c,a),X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_23,product(b,c)),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))) )],[refute_0_1558,refute_0_1574]) ).

cnf(refute_0_1576,plain,
    bigC(a,X_23,product(b,c)) = bigC(product(c,a),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),c,X_23),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),c)))) )],[refute_0_1534,refute_0_1575]) ).

cnf(refute_0_1577,plain,
    ( bigC(a,X_23,product(b,c)) != bigC(product(c,a),X_23,c)
    | bigC(product(c,a),X_23,c) = bigC(a,X_23,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,X_23,product(b,c)))),bind(Y,$fot(bigC(product(c,a),X_23,c)))]]) ).

cnf(refute_0_1578,plain,
    bigC(product(c,a),X_23,c) = bigC(a,X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,X_23,product(b,c)),bigC(product(c,a),X_23,c)) )],[refute_0_1576,refute_0_1577]) ).

cnf(refute_0_1579,plain,
    bigC(product(c,a),b,c) = bigC(a,b,product(b,c)),
    inference(subst,[],[refute_0_1578:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_1580,plain,
    quotient(c,bigC(product(c,a),b,c)) = quotient(c,bigC(product(c,a),b,c)),
    introduced(tautology,[refl,[$fot(quotient(c,bigC(product(c,a),b,c)))]]) ).

cnf(refute_0_1581,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | quotient(c,bigC(product(c,a),b,c)) != quotient(c,bigC(product(c,a),b,c))
    | quotient(c,bigC(product(c,a),b,c)) = quotient(c,bigC(a,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(product(c,a),b,c)),quotient(c,bigC(product(c,a),b,c))) ),[1,1],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_1582,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | quotient(c,bigC(product(c,a),b,c)) = quotient(c,bigC(a,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(product(c,a),b,c)),quotient(c,bigC(product(c,a),b,c))) )],[refute_0_1580,refute_0_1581]) ).

cnf(refute_0_1583,plain,
    quotient(c,bigC(product(c,a),b,c)) = quotient(c,bigC(a,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_1582]) ).

cnf(refute_0_1584,plain,
    ( quotient(c,bigC(product(c,a),b,c)) != product(product(product(b,a),c),c)
    | quotient(c,bigC(product(c,a),b,c)) != quotient(c,bigC(a,b,product(b,c)))
    | quotient(c,bigC(a,b,product(b,c))) = product(product(product(b,a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(product(c,a),b,c)),product(product(product(b,a),c),c)) ),[0],$fot(quotient(c,bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_1585,plain,
    ( quotient(c,bigC(product(c,a),b,c)) != product(product(product(b,a),c),c)
    | quotient(c,bigC(a,b,product(b,c))) = product(product(product(b,a),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(product(c,a),b,c)),quotient(c,bigC(a,b,product(b,c)))) )],[refute_0_1583,refute_0_1584]) ).

cnf(refute_0_1586,plain,
    quotient(c,bigC(a,b,product(b,c))) = product(product(product(b,a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(product(c,a),b,c)),product(product(product(b,a),c),c)) )],[refute_0_1526,refute_0_1585]) ).

cnf(refute_0_1587,plain,
    quotient(bigC(c,bigC(a,a,b),bigC(b,a,b)),product(bigC(b,a,b),c)) = product(c,bigC(a,a,b)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(c)),bind(X_22,$fot(bigC(a,a,b))),bind(X_23,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_1588,plain,
    product(quotient(c,product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) = c,
    inference(subst,[],[sos04:[bind(A,$fot(c)),bind(B,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_1589,plain,
    quotient(c,product(c,product(c,product(a,b)))) = product(product(product(a,b),c),c),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(a,b))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_1590,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | quotient(c,product(c,product(c,product(a,b)))) != product(product(product(a,b),c),c)
    | quotient(c,product(c,product(a,product(b,c)))) = product(product(product(a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,product(a,b)))),product(product(product(a,b),c),c)) ),[0,1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1591,plain,
    ( quotient(c,product(c,product(c,product(a,b)))) != product(product(product(a,b),c),c)
    | quotient(c,product(c,product(a,product(b,c)))) = product(product(product(a,b),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_1590]) ).

cnf(refute_0_1592,plain,
    quotient(c,product(c,product(a,product(b,c)))) = product(product(product(a,b),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,product(a,b)))),product(product(product(a,b),c),c)) )],[refute_0_1589,refute_0_1591]) ).

cnf(refute_0_1593,plain,
    bigC(c,c,product(a,c)) = product(c,product(product(a,c),c)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(c)),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_1594,plain,
    ( bigC(c,c,product(a,c)) != product(c,product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(c,c,product(a,c)) = product(c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(a,c)),product(c,product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_1595,plain,
    ( bigC(c,c,product(a,c)) != product(c,product(product(a,c),c))
    | bigC(c,c,product(a,c)) = product(c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_1594]) ).

cnf(refute_0_1596,plain,
    bigC(c,c,product(a,c)) = product(c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(c,product(product(a,c),c))) )],[refute_0_1593,refute_0_1595]) ).

cnf(refute_0_1597,plain,
    product(bigC(c,c,a),c) = product(bigC(c,c,a),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,a),c))]]) ).

cnf(refute_0_1598,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(bigC(c,c,a),c) != product(bigC(c,c,a),c)
    | product(bigC(c,c,a),c) = product(bigC(c,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(c,c,a),c)) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_1599,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(bigC(c,c,a),c) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(c,c,a),c)) )],[refute_0_1597,refute_0_1598]) ).

cnf(refute_0_1600,plain,
    product(bigC(c,c,a),c) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_894,refute_0_1599]) ).

cnf(refute_0_1601,plain,
    bigC(X_21,product(X_84,X_21),X_21) = product(product(X_21,product(X_84,X_21)),X_21),
    inference(subst,[],[refute_0_233:[bind(X_22,$fot(product(X_84,X_21)))]]) ).

cnf(refute_0_1602,plain,
    bigC(X_21,X_21,X_84) = product(X_21,product(X_84,X_21)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(X_21)),bind(X_23,$fot(X_84))]]) ).

cnf(refute_0_1603,plain,
    ( bigC(X_21,X_21,X_84) != product(X_21,product(X_84,X_21))
    | product(X_21,product(X_84,X_21)) = bigC(X_21,X_21,X_84) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_21,X_21,X_84))),bind(Y,$fot(product(X_21,product(X_84,X_21))))]]) ).

cnf(refute_0_1604,plain,
    product(X_21,product(X_84,X_21)) = bigC(X_21,X_21,X_84),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_21,X_84),product(X_21,product(X_84,X_21))) )],[refute_0_1602,refute_0_1603]) ).

cnf(refute_0_1605,plain,
    ( bigC(X_21,product(X_84,X_21),X_21) != product(product(X_21,product(X_84,X_21)),X_21)
    | product(X_21,product(X_84,X_21)) != bigC(X_21,X_21,X_84)
    | bigC(X_21,product(X_84,X_21),X_21) = product(bigC(X_21,X_21,X_84),X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,product(X_84,X_21),X_21),product(product(X_21,product(X_84,X_21)),X_21)) ),[1,0],$fot(bigC(X_21,X_21,X_84))]]) ).

cnf(refute_0_1606,plain,
    ( bigC(X_21,product(X_84,X_21),X_21) != product(product(X_21,product(X_84,X_21)),X_21)
    | bigC(X_21,product(X_84,X_21),X_21) = product(bigC(X_21,X_21,X_84),X_21) ),
    inference(resolve,[$cnf( $equal(product(X_21,product(X_84,X_21)),bigC(X_21,X_21,X_84)) )],[refute_0_1604,refute_0_1605]) ).

cnf(refute_0_1607,plain,
    bigC(X_21,product(X_84,X_21),X_21) = product(bigC(X_21,X_21,X_84),X_21),
    inference(resolve,[$cnf( $equal(bigC(X_21,product(X_84,X_21),X_21),product(product(X_21,product(X_84,X_21)),X_21)) )],[refute_0_1601,refute_0_1606]) ).

cnf(refute_0_1608,plain,
    bigC(X_21,product(X_84,X_21),X_21) = bigC(X_21,X_21,product(X_84,X_21)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_21)),bind(B,$fot(X_21)),bind(C,$fot(product(X_84,X_21)))]]) ).

cnf(refute_0_1609,plain,
    ( bigC(X_21,product(X_84,X_21),X_21) != bigC(X_21,X_21,product(X_84,X_21))
    | bigC(X_21,product(X_84,X_21),X_21) != product(bigC(X_21,X_21,X_84),X_21)
    | bigC(X_21,X_21,product(X_84,X_21)) = product(bigC(X_21,X_21,X_84),X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,product(X_84,X_21),X_21),product(bigC(X_21,X_21,X_84),X_21)) ),[0],$fot(bigC(X_21,X_21,product(X_84,X_21)))]]) ).

cnf(refute_0_1610,plain,
    ( bigC(X_21,product(X_84,X_21),X_21) != product(bigC(X_21,X_21,X_84),X_21)
    | bigC(X_21,X_21,product(X_84,X_21)) = product(bigC(X_21,X_21,X_84),X_21) ),
    inference(resolve,[$cnf( $equal(bigC(X_21,product(X_84,X_21),X_21),bigC(X_21,X_21,product(X_84,X_21))) )],[refute_0_1608,refute_0_1609]) ).

cnf(refute_0_1611,plain,
    bigC(X_21,X_21,product(X_84,X_21)) = product(bigC(X_21,X_21,X_84),X_21),
    inference(resolve,[$cnf( $equal(bigC(X_21,product(X_84,X_21),X_21),product(bigC(X_21,X_21,X_84),X_21)) )],[refute_0_1607,refute_0_1610]) ).

cnf(refute_0_1612,plain,
    bigC(c,c,product(a,c)) = product(bigC(c,c,a),c),
    inference(subst,[],[refute_0_1611:[bind(X_21,$fot(c)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_1613,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,c,a),c)
    | product(bigC(c,c,a),c) != product(bigC(c,a,c),c)
    | bigC(c,c,product(a,c)) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,product(a,c)))),bind(Y,$fot(product(bigC(c,c,a),c))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_1614,plain,
    ( product(bigC(c,c,a),c) != product(bigC(c,a,c),c)
    | bigC(c,c,product(a,c)) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,c,a),c)) )],[refute_0_1612,refute_0_1613]) ).

cnf(refute_0_1615,plain,
    bigC(c,c,product(a,c)) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(c,a,c),c)) )],[refute_0_1600,refute_0_1614]) ).

cnf(refute_0_1616,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | bigC(c,c,product(a,c)) != product(c,product(a,product(b,c)))
    | product(bigC(c,a,c),c) = product(c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(a,c)),product(c,product(a,product(b,c)))) ),[0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_1617,plain,
    ( bigC(c,c,product(a,c)) != product(c,product(a,product(b,c)))
    | product(bigC(c,a,c),c) = product(c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,a,c),c)) )],[refute_0_1615,refute_0_1616]) ).

cnf(refute_0_1618,plain,
    product(bigC(c,a,c),c) = product(c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(c,product(a,product(b,c)))) )],[refute_0_1596,refute_0_1617]) ).

cnf(refute_0_1619,plain,
    product(bigC(c,a,c),c) = product(bigC(c,a,c),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_1620,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),c) != product(bigC(c,a,c),c)
    | product(bigC(c,a,c),c) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(c,a,c),c)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_1621,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),c) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(c,a,c),c)) )],[refute_0_1619,refute_0_1620]) ).

cnf(refute_0_1622,plain,
    product(bigC(c,a,c),c) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_1621]) ).

cnf(refute_0_1623,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | product(bigC(c,a,c),c) != product(c,product(a,product(b,c)))
    | product(bigC(a,a,b),c) = product(c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),c),product(c,product(a,product(b,c)))) ),[0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_1624,plain,
    ( product(bigC(c,a,c),c) != product(c,product(a,product(b,c)))
    | product(bigC(a,a,b),c) = product(c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(a,a,b),c)) )],[refute_0_1622,refute_0_1623]) ).

cnf(refute_0_1625,plain,
    product(bigC(a,a,b),c) = product(c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(c,product(a,product(b,c)))) )],[refute_0_1618,refute_0_1624]) ).

cnf(refute_0_1626,plain,
    ( product(bigC(a,a,b),c) != product(c,product(a,product(b,c)))
    | product(c,product(a,product(b,c))) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,b),c))),bind(Y,$fot(product(c,product(a,product(b,c)))))]]) ).

cnf(refute_0_1627,plain,
    product(c,product(a,product(b,c))) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),product(c,product(a,product(b,c)))) )],[refute_0_1625,refute_0_1626]) ).

cnf(refute_0_1628,plain,
    quotient(c,product(c,product(a,product(b,c)))) = quotient(c,product(c,product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(c,product(c,product(a,product(b,c)))))]]) ).

cnf(refute_0_1629,plain,
    ( product(c,product(a,product(b,c))) != product(bigC(a,a,b),c)
    | quotient(c,product(c,product(a,product(b,c)))) != quotient(c,product(c,product(a,product(b,c))))
    | quotient(c,product(c,product(a,product(b,c)))) = quotient(c,product(bigC(a,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(a,product(b,c)))),quotient(c,product(c,product(a,product(b,c))))) ),[1,1],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_1630,plain,
    ( product(c,product(a,product(b,c))) != product(bigC(a,a,b),c)
    | quotient(c,product(c,product(a,product(b,c)))) = quotient(c,product(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,product(b,c)))),quotient(c,product(c,product(a,product(b,c))))) )],[refute_0_1628,refute_0_1629]) ).

cnf(refute_0_1631,plain,
    quotient(c,product(c,product(a,product(b,c)))) = quotient(c,product(bigC(a,a,b),c)),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,c))),product(bigC(a,a,b),c)) )],[refute_0_1627,refute_0_1630]) ).

cnf(refute_0_1632,plain,
    ( quotient(c,product(c,product(a,product(b,c)))) != product(product(product(a,b),c),c)
    | quotient(c,product(c,product(a,product(b,c)))) != quotient(c,product(bigC(a,a,b),c))
    | quotient(c,product(bigC(a,a,b),c)) = product(product(product(a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(a,product(b,c)))),product(product(product(a,b),c),c)) ),[0],$fot(quotient(c,product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_1633,plain,
    ( quotient(c,product(c,product(a,product(b,c)))) != product(product(product(a,b),c),c)
    | quotient(c,product(bigC(a,a,b),c)) = product(product(product(a,b),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,product(b,c)))),quotient(c,product(bigC(a,a,b),c))) )],[refute_0_1631,refute_0_1632]) ).

cnf(refute_0_1634,plain,
    product(c,bigC(c,b,c)) = product(c,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_1635,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(c,bigC(c,b,c)) != product(c,bigC(c,b,c))
    | product(c,bigC(c,b,c)) = product(c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1636,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(c,bigC(c,b,c)) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(c,b,c))) )],[refute_0_1634,refute_0_1635]) ).

cnf(refute_0_1637,plain,
    product(c,bigC(c,b,c)) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_1636]) ).

cnf(refute_0_1638,plain,
    bigC(X_83,X_83,product(X_83,X_22)) = product(X_83,product(product(X_83,X_22),X_83)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(X_83)),bind(X_23,$fot(product(X_83,X_22)))]]) ).

cnf(refute_0_1639,plain,
    bigC(X_83,X_22,X_83) = product(product(X_83,X_22),X_83),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(X_83))]]) ).

cnf(refute_0_1640,plain,
    ( bigC(X_83,X_22,X_83) != product(product(X_83,X_22),X_83)
    | product(product(X_83,X_22),X_83) = bigC(X_83,X_22,X_83) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_83,X_22,X_83))),bind(Y,$fot(product(product(X_83,X_22),X_83)))]]) ).

cnf(refute_0_1641,plain,
    product(product(X_83,X_22),X_83) = bigC(X_83,X_22,X_83),
    inference(resolve,[$cnf( $equal(bigC(X_83,X_22,X_83),product(product(X_83,X_22),X_83)) )],[refute_0_1639,refute_0_1640]) ).

cnf(refute_0_1642,plain,
    ( bigC(X_83,X_83,product(X_83,X_22)) != product(X_83,product(product(X_83,X_22),X_83))
    | product(product(X_83,X_22),X_83) != bigC(X_83,X_22,X_83)
    | bigC(X_83,X_83,product(X_83,X_22)) = product(X_83,bigC(X_83,X_22,X_83)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_83,X_83,product(X_83,X_22)),product(X_83,product(product(X_83,X_22),X_83))) ),[1,1],$fot(bigC(X_83,X_22,X_83))]]) ).

cnf(refute_0_1643,plain,
    ( bigC(X_83,X_83,product(X_83,X_22)) != product(X_83,product(product(X_83,X_22),X_83))
    | bigC(X_83,X_83,product(X_83,X_22)) = product(X_83,bigC(X_83,X_22,X_83)) ),
    inference(resolve,[$cnf( $equal(product(product(X_83,X_22),X_83),bigC(X_83,X_22,X_83)) )],[refute_0_1641,refute_0_1642]) ).

cnf(refute_0_1644,plain,
    bigC(X_83,X_83,product(X_83,X_22)) = product(X_83,bigC(X_83,X_22,X_83)),
    inference(resolve,[$cnf( $equal(bigC(X_83,X_83,product(X_83,X_22)),product(X_83,product(product(X_83,X_22),X_83))) )],[refute_0_1638,refute_0_1643]) ).

cnf(refute_0_1645,plain,
    bigC(c,c,product(c,b)) = product(c,bigC(c,b,c)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(b)),bind(X_83,$fot(c))]]) ).

cnf(refute_0_1646,plain,
    bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b)),X_23) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(product(c,a),b))),bind(X_21,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1647,plain,
    ( bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b)),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | difference(bigC(c,a,b),product(product(c,a),b)) != product(c,b)
    | bigC(bigC(c,a,b),product(c,b),X_23) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b)),X_23),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_1648,plain,
    ( bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b)),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | bigC(bigC(c,a,b),product(c,b),X_23) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(c,b)) )],[refute_0_991,refute_0_1647]) ).

cnf(refute_0_1649,plain,
    bigC(bigC(c,a,b),product(c,b),X_23) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(c,a),b)),X_23),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) )],[refute_0_1646,refute_0_1648]) ).

cnf(refute_0_1650,plain,
    bigC(bigC(c,a,b),product(c,b),X_23) = bigC(bigC(c,a,b),product(c,b),X_23),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),product(c,b),X_23))]]) ).

cnf(refute_0_1651,plain,
    ( bigC(bigC(c,a,b),product(c,b),X_23) != bigC(bigC(c,a,b),product(c,b),X_23)
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(c,b),X_23) = bigC(c,product(c,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),X_23),bigC(bigC(c,a,b),product(c,b),X_23)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1652,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(c,b),X_23) = bigC(c,product(c,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),X_23),bigC(bigC(c,a,b),product(c,b),X_23)) )],[refute_0_1650,refute_0_1651]) ).

cnf(refute_0_1653,plain,
    bigC(bigC(c,a,b),product(c,b),X_23) = bigC(c,product(c,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1652]) ).

cnf(refute_0_1654,plain,
    ( bigC(bigC(c,a,b),product(c,b),X_23) != bigC(c,product(c,b),X_23)
    | bigC(bigC(c,a,b),product(c,b),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | bigC(c,product(c,b),X_23) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),X_23),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) ),[0],$fot(bigC(c,product(c,b),X_23))]]) ).

cnf(refute_0_1655,plain,
    ( bigC(bigC(c,a,b),product(c,b),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | bigC(c,product(c,b),X_23) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),X_23),bigC(c,product(c,b),X_23)) )],[refute_0_1653,refute_0_1654]) ).

cnf(refute_0_1656,plain,
    product(X_23,bigC(c,a,b)) = product(X_23,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(X_23,bigC(c,a,b)))]]) ).

cnf(refute_0_1657,plain,
    ( bigC(c,a,b) != c
    | product(X_23,bigC(c,a,b)) != product(X_23,bigC(c,a,b))
    | product(X_23,bigC(c,a,b)) = product(X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,bigC(c,a,b)),product(X_23,bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1658,plain,
    ( bigC(c,a,b) != c
    | product(X_23,bigC(c,a,b)) = product(X_23,c) ),
    inference(resolve,[$cnf( $equal(product(X_23,bigC(c,a,b)),product(X_23,bigC(c,a,b))) )],[refute_0_1656,refute_0_1657]) ).

cnf(refute_0_1659,plain,
    product(X_23,bigC(c,a,b)) = product(X_23,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1658]) ).

cnf(refute_0_1660,plain,
    product(product(product(c,a),b),product(X_23,bigC(c,a,b))) = product(product(product(c,a),b),product(X_23,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),product(X_23,bigC(c,a,b))))]]) ).

cnf(refute_0_1661,plain,
    ( product(X_23,bigC(c,a,b)) != product(X_23,c)
    | product(product(product(c,a),b),product(X_23,bigC(c,a,b))) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | product(product(product(c,a),b),product(X_23,bigC(c,a,b))) = product(product(product(c,a),b),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),product(X_23,bigC(c,a,b))),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) ),[1,1],$fot(product(X_23,c))]]) ).

cnf(refute_0_1662,plain,
    ( product(X_23,bigC(c,a,b)) != product(X_23,c)
    | product(product(product(c,a),b),product(X_23,bigC(c,a,b))) = product(product(product(c,a),b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(X_23,bigC(c,a,b))),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) )],[refute_0_1660,refute_0_1661]) ).

cnf(refute_0_1663,plain,
    product(product(product(c,a),b),product(X_23,bigC(c,a,b))) = product(product(product(c,a),b),product(X_23,c)),
    inference(resolve,[$cnf( $equal(product(X_23,bigC(c,a,b)),product(X_23,c)) )],[refute_0_1659,refute_0_1662]) ).

cnf(refute_0_1664,plain,
    ( bigC(c,product(c,b),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | product(product(product(c,a),b),product(X_23,bigC(c,a,b))) != product(product(product(c,a),b),product(X_23,c))
    | bigC(c,product(c,b),X_23) = product(product(product(c,a),b),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,b),X_23),product(product(product(c,a),b),product(X_23,c))) ),[0],$fot(product(product(product(c,a),b),product(X_23,bigC(c,a,b))))]]) ).

cnf(refute_0_1665,plain,
    ( bigC(c,product(c,b),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | bigC(c,product(c,b),X_23) = product(product(product(c,a),b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(X_23,bigC(c,a,b))),product(product(product(c,a),b),product(X_23,c))) )],[refute_0_1663,refute_0_1664]) ).

cnf(refute_0_1666,plain,
    ( bigC(bigC(c,a,b),product(c,b),X_23) != product(product(product(c,a),b),product(X_23,bigC(c,a,b)))
    | bigC(c,product(c,b),X_23) = product(product(product(c,a),b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),X_23),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) )],[refute_0_1655,refute_0_1665]) ).

cnf(refute_0_1667,plain,
    bigC(c,product(c,b),X_23) = product(product(product(c,a),b),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),X_23),product(product(product(c,a),b),product(X_23,bigC(c,a,b)))) )],[refute_0_1649,refute_0_1666]) ).

cnf(refute_0_1668,plain,
    bigC(X_21,X_22,quotient(bigC(X_21,X_80,X_21),X_21)) = product(product(X_21,X_22),bigC(X_21,X_80,X_21)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(X_21,X_80,X_21)))]]) ).

cnf(refute_0_1669,plain,
    quotient(bigC(X_21,X_80,X_21),X_21) = product(X_21,X_80),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(X_21)),bind(X_77,$fot(X_80))]]) ).

cnf(refute_0_1670,plain,
    ( bigC(X_21,X_22,quotient(bigC(X_21,X_80,X_21),X_21)) != product(product(X_21,X_22),bigC(X_21,X_80,X_21))
    | quotient(bigC(X_21,X_80,X_21),X_21) != product(X_21,X_80)
    | bigC(X_21,X_22,product(X_21,X_80)) = product(product(X_21,X_22),bigC(X_21,X_80,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,X_22,quotient(bigC(X_21,X_80,X_21),X_21)),product(product(X_21,X_22),bigC(X_21,X_80,X_21))) ),[0,2],$fot(product(X_21,X_80))]]) ).

cnf(refute_0_1671,plain,
    ( bigC(X_21,X_22,quotient(bigC(X_21,X_80,X_21),X_21)) != product(product(X_21,X_22),bigC(X_21,X_80,X_21))
    | bigC(X_21,X_22,product(X_21,X_80)) = product(product(X_21,X_22),bigC(X_21,X_80,X_21)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_21,X_80,X_21),X_21),product(X_21,X_80)) )],[refute_0_1669,refute_0_1670]) ).

cnf(refute_0_1672,plain,
    bigC(X_21,X_22,product(X_21,X_80)) = product(product(X_21,X_22),bigC(X_21,X_80,X_21)),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,quotient(bigC(X_21,X_80,X_21),X_21)),product(product(X_21,X_22),bigC(X_21,X_80,X_21))) )],[refute_0_1668,refute_0_1671]) ).

cnf(refute_0_1673,plain,
    ( bigC(X_21,X_22,product(X_21,X_80)) != product(product(X_21,X_22),bigC(X_21,X_80,X_21))
    | product(product(X_21,X_22),bigC(X_21,X_80,X_21)) = bigC(X_21,X_22,product(X_21,X_80)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_21,X_22,product(X_21,X_80)))),bind(Y,$fot(product(product(X_21,X_22),bigC(X_21,X_80,X_21))))]]) ).

cnf(refute_0_1674,plain,
    product(product(X_21,X_22),bigC(X_21,X_80,X_21)) = bigC(X_21,X_22,product(X_21,X_80)),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,product(X_21,X_80)),product(product(X_21,X_22),bigC(X_21,X_80,X_21))) )],[refute_0_1672,refute_0_1673]) ).

cnf(refute_0_1675,plain,
    product(product(c,X_23),bigC(c,b,c)) = bigC(c,X_23,product(c,b)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(c)),bind(X_22,$fot(X_23)),bind(X_80,$fot(b))]]) ).

cnf(refute_0_1676,plain,
    product(product(c,product(c,b)),product(X_23,c)) = product(product(c,X_23),bigC(c,b,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(c)),bind(C,$fot(X_23)),bind(D,$fot(c)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_1677,plain,
    ( product(product(c,X_23),bigC(c,b,c)) != bigC(c,X_23,product(c,b))
    | product(product(c,product(c,b)),product(X_23,c)) != product(product(c,X_23),bigC(c,b,c))
    | product(product(c,product(c,b)),product(X_23,c)) = bigC(c,X_23,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(X_23,c)))),bind(Y,$fot(product(product(c,X_23),bigC(c,b,c)))),bind(Z,$fot(bigC(c,X_23,product(c,b))))]]) ).

cnf(refute_0_1678,plain,
    ( product(product(c,X_23),bigC(c,b,c)) != bigC(c,X_23,product(c,b))
    | product(product(c,product(c,b)),product(X_23,c)) = bigC(c,X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_23,c)),product(product(c,X_23),bigC(c,b,c))) )],[refute_0_1676,refute_0_1677]) ).

cnf(refute_0_1679,plain,
    product(product(c,product(c,b)),product(X_23,c)) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(c,b,c)),bigC(c,X_23,product(c,b))) )],[refute_0_1675,refute_0_1678]) ).

cnf(refute_0_1680,plain,
    product(product(product(c,a),b),product(X_23,c)) = product(product(product(c,a),b),product(X_23,c)),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),product(X_23,c)))]]) ).

cnf(refute_0_1681,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),product(X_23,c)) != product(product(product(c,a),b),product(X_23,c))
    | product(product(product(c,a),b),product(X_23,c)) = product(product(c,product(c,b)),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),product(X_23,c)),product(product(product(c,a),b),product(X_23,c))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1682,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),product(X_23,c)) = product(product(c,product(c,b)),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(X_23,c)),product(product(product(c,a),b),product(X_23,c))) )],[refute_0_1680,refute_0_1681]) ).

cnf(refute_0_1683,plain,
    product(product(product(c,a),b),product(X_23,c)) = product(product(c,product(c,b)),product(X_23,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1682]) ).

cnf(refute_0_1684,plain,
    ( product(product(c,product(c,b)),product(X_23,c)) != bigC(c,X_23,product(c,b))
    | product(product(product(c,a),b),product(X_23,c)) != product(product(c,product(c,b)),product(X_23,c))
    | product(product(product(c,a),b),product(X_23,c)) = bigC(c,X_23,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),product(X_23,c)))),bind(Y,$fot(product(product(c,product(c,b)),product(X_23,c)))),bind(Z,$fot(bigC(c,X_23,product(c,b))))]]) ).

cnf(refute_0_1685,plain,
    ( product(product(c,product(c,b)),product(X_23,c)) != bigC(c,X_23,product(c,b))
    | product(product(product(c,a),b),product(X_23,c)) = bigC(c,X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(X_23,c)),product(product(c,product(c,b)),product(X_23,c))) )],[refute_0_1683,refute_0_1684]) ).

cnf(refute_0_1686,plain,
    product(product(product(c,a),b),product(X_23,c)) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_23,c)),bigC(c,X_23,product(c,b))) )],[refute_0_1679,refute_0_1685]) ).

cnf(refute_0_1687,plain,
    ( bigC(c,product(c,b),X_23) != product(product(product(c,a),b),product(X_23,c))
    | product(product(product(c,a),b),product(X_23,c)) != bigC(c,X_23,product(c,b))
    | bigC(c,product(c,b),X_23) = bigC(c,X_23,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,b),X_23),bigC(c,X_23,product(c,b))) ),[0],$fot(product(product(product(c,a),b),product(X_23,c)))]]) ).

cnf(refute_0_1688,plain,
    ( bigC(c,product(c,b),X_23) != product(product(product(c,a),b),product(X_23,c))
    | bigC(c,product(c,b),X_23) = bigC(c,X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(X_23,c)),bigC(c,X_23,product(c,b))) )],[refute_0_1686,refute_0_1687]) ).

cnf(refute_0_1689,plain,
    bigC(c,product(c,b),X_23) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),X_23),product(product(product(c,a),b),product(X_23,c))) )],[refute_0_1667,refute_0_1688]) ).

cnf(refute_0_1690,plain,
    bigC(c,product(c,b),c) = bigC(c,c,product(c,b)),
    inference(subst,[],[refute_0_1689:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_1691,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | bigC(c,product(c,b),c) != bigC(c,c,product(c,b))
    | bigC(c,product(c,b),c) = product(c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,b),c))),bind(Y,$fot(bigC(c,c,product(c,b)))),bind(Z,$fot(product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_1692,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | bigC(c,product(c,b),c) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),bigC(c,c,product(c,b))) )],[refute_0_1690,refute_0_1691]) ).

cnf(refute_0_1693,plain,
    bigC(c,product(c,b),c) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,b)),product(c,bigC(c,b,c))) )],[refute_0_1645,refute_0_1692]) ).

cnf(refute_0_1694,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(c,b,c))
    | product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | bigC(c,product(c,b),c) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,b),c))),bind(Y,$fot(product(c,bigC(c,b,c)))),bind(Z,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_1695,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | bigC(c,product(c,b),c) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(c,b,c))) )],[refute_0_1693,refute_0_1694]) ).

cnf(refute_0_1696,plain,
    bigC(c,product(c,b),c) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(b,a,b))) )],[refute_0_1637,refute_0_1695]) ).

cnf(refute_0_1697,plain,
    product(product(c,product(c,b)),c) = bigC(c,product(c,b),c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_1698,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(b,a,b))
    | product(product(c,product(c,b)),c) != bigC(c,product(c,b),c)
    | product(product(c,product(c,b)),c) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),c))),bind(Y,$fot(bigC(c,product(c,b),c))),bind(Z,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_1699,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(b,a,b))
    | product(product(c,product(c,b)),c) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),bigC(c,product(c,b),c)) )],[refute_0_1697,refute_0_1698]) ).

cnf(refute_0_1700,plain,
    product(product(c,product(c,b)),c) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(b,a,b))) )],[refute_0_1696,refute_0_1699]) ).

cnf(refute_0_1701,plain,
    product(product(product(a,b),c),c) = product(product(product(a,b),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),c))]]) ).

cnf(refute_0_1702,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),c) != product(product(product(a,b),c),c)
    | product(product(product(a,b),c),c) = product(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),c),product(product(product(a,b),c),c)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1703,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),c) = product(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),c),product(product(product(a,b),c),c)) )],[refute_0_1701,refute_0_1702]) ).

cnf(refute_0_1704,plain,
    product(product(product(a,b),c),c) = product(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_1703]) ).

cnf(refute_0_1705,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(b,a,b))
    | product(product(product(a,b),c),c) != product(product(c,product(c,b)),c)
    | product(product(product(a,b),c),c) = product(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),c))),bind(Y,$fot(product(product(c,product(c,b)),c))),bind(Z,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_1706,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(b,a,b))
    | product(product(product(a,b),c),c) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),c),product(product(c,product(c,b)),c)) )],[refute_0_1704,refute_0_1705]) ).

cnf(refute_0_1707,plain,
    product(product(product(a,b),c),c) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),product(c,bigC(b,a,b))) )],[refute_0_1700,refute_0_1706]) ).

cnf(refute_0_1708,plain,
    ( product(product(product(a,b),c),c) != product(c,bigC(b,a,b))
    | quotient(c,product(bigC(a,a,b),c)) != product(product(product(a,b),c),c)
    | quotient(c,product(bigC(a,a,b),c)) = product(c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(bigC(a,a,b),c)),product(product(product(a,b),c),c)) ),[1],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_1709,plain,
    ( quotient(c,product(bigC(a,a,b),c)) != product(product(product(a,b),c),c)
    | quotient(c,product(bigC(a,a,b),c)) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),c),product(c,bigC(b,a,b))) )],[refute_0_1707,refute_0_1708]) ).

cnf(refute_0_1710,plain,
    ( quotient(c,product(c,product(a,product(b,c)))) != product(product(product(a,b),c),c)
    | quotient(c,product(bigC(a,a,b),c)) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(bigC(a,a,b),c)),product(product(product(a,b),c),c)) )],[refute_0_1633,refute_0_1709]) ).

cnf(refute_0_1711,plain,
    quotient(c,product(bigC(a,a,b),c)) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(a,product(b,c)))),product(product(product(a,b),c),c)) )],[refute_0_1592,refute_0_1710]) ).

cnf(refute_0_1712,plain,
    ( product(quotient(c,product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != c
    | quotient(c,product(bigC(a,a,b),c)) != product(c,bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),c) ),[0,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_1713,plain,
    ( product(quotient(c,product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) != c
    | product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = c ),
    inference(resolve,[$cnf( $equal(quotient(c,product(bigC(a,a,b),c)),product(c,bigC(b,a,b))) )],[refute_0_1711,refute_0_1712]) ).

cnf(refute_0_1714,plain,
    product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = c,
    inference(resolve,[$cnf( $equal(product(quotient(c,product(bigC(a,a,b),c)),product(bigC(a,a,b),c)),c) )],[refute_0_1588,refute_0_1713]) ).

cnf(refute_0_1715,plain,
    bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(product(product(c,a),b),bigC(c,a,b)))),bind(X_22,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1716,plain,
    quotient(product(product(product(c,a),b),bigC(c,a,b)),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b)))) = bigC(c,a,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(product(product(c,a),b),bigC(c,a,b)))),bind(X_6,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1717,plain,
    difference(bigC(c,a,b),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))) = product(product(c,b),bigC(c,a,b)),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(bigC(c,a,b))),bind(X_37,$fot(product(c,b)))]]) ).

cnf(refute_0_1718,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(bigC(c,a,b),product(c,b)),bigC(c,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(c,a,b))),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_1719,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(bigC(c,a,b),product(c,b)),bigC(c,a,b))
    | product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(product(c,a),b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(bigC(c,a,b),product(c,b)),bigC(c,a,b))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_1720,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(bigC(c,a,b),product(c,b)),bigC(c,a,b))
    | bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(product(c,a),b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_1719]) ).

cnf(refute_0_1721,plain,
    bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) = product(product(product(c,a),b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(bigC(c,a,b),product(c,b)),bigC(c,a,b))) )],[refute_0_1718,refute_0_1720]) ).

cnf(refute_0_1722,plain,
    ( bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)) != product(product(product(c,a),b),bigC(c,a,b))
    | difference(bigC(c,a,b),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))) != product(product(c,b),bigC(c,a,b))
    | difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))) = product(product(c,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,b),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) ),[0,1],$fot(product(product(product(c,a),b),bigC(c,a,b)))]]) ).

cnf(refute_0_1723,plain,
    ( difference(bigC(c,a,b),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))) != product(product(c,b),bigC(c,a,b))
    | difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))) = product(product(c,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(c,b),bigC(c,a,b)),product(product(product(c,a),b),bigC(c,a,b))) )],[refute_0_1721,refute_0_1722]) ).

cnf(refute_0_1724,plain,
    difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))) = product(product(c,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),bigC(bigC(c,a,b),product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) )],[refute_0_1717,refute_0_1723]) ).

cnf(refute_0_1725,plain,
    ( difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))) != product(product(c,b),bigC(c,a,b))
    | quotient(product(product(product(c,a),b),bigC(c,a,b)),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b)))) != bigC(c,a,b)
    | quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),b),bigC(c,a,b)),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b)))),bigC(c,a,b)) ),[0,1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_1726,plain,
    ( quotient(product(product(product(c,a),b),bigC(c,a,b)),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b)))) != bigC(c,a,b)
    | quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) )],[refute_0_1724,refute_0_1725]) ).

cnf(refute_0_1727,plain,
    quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),b),bigC(c,a,b)),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b)))),bigC(c,a,b)) )],[refute_0_1716,refute_0_1726]) ).

cnf(refute_0_1728,plain,
    ( bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))) ),[0,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_1729,plain,
    ( bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),bigC(c,a,b)) )],[refute_0_1727,refute_0_1728]) ).

cnf(refute_0_1730,plain,
    bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))) )],[refute_0_1715,refute_0_1729]) ).

cnf(refute_0_1731,plain,
    bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(product(product(c,a),b),bigC(c,a,b)))),bind(X_21,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1732,plain,
    ( bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))
    | difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))) != product(product(c,b),bigC(c,a,b))
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))) ),[0,1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_1733,plain,
    ( bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) )],[refute_0_1724,refute_0_1732]) ).

cnf(refute_0_1734,plain,
    bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),difference(bigC(c,a,b),product(product(product(c,a),b),bigC(c,a,b))),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))) )],[refute_0_1731,refute_0_1733]) ).

cnf(refute_0_1735,plain,
    product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(product(c,a),b))),bind(X_64,$fot(X_23)),bind(X_66,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_1736,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))
    | product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) ),[0],$fot(product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))))]]) ).

cnf(refute_0_1737,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b))),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) )],[refute_0_1735,refute_0_1736]) ).

cnf(refute_0_1738,plain,
    bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,bigC(c,a,b)))) )],[refute_0_1734,refute_0_1737]) ).

cnf(refute_0_1739,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))) ),[0],$fot(product(product(product(product(c,a),b),X_23),bigC(c,a,b)))]]) ).

cnf(refute_0_1740,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) )],[refute_0_1738,refute_0_1739]) ).

cnf(refute_0_1741,plain,
    bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) = bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1742,plain,
    ( bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) != bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))),bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_1743,plain,
    ( quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) != bigC(c,a,b)
    | bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))),bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1741,refute_0_1742]) ).

cnf(refute_0_1744,plain,
    bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),bigC(c,a,b)) )],[refute_0_1727,refute_0_1743]) ).

cnf(refute_0_1745,plain,
    product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) = bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(product(product(c,a),b),bigC(c,a,b)))),bind(X_22,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1746,plain,
    ( bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) != bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b)))
    | product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))))),bind(Y,$fot(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_1747,plain,
    ( bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))),bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1745,refute_0_1746]) ).

cnf(refute_0_1748,plain,
    product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))),X_23,product(product(c,b),bigC(c,a,b))),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1744,refute_0_1747]) ).

cnf(refute_0_1749,plain,
    ( product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) ),[0],$fot(product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))))]]) ).

cnf(refute_0_1750,plain,
    ( product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))))),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1748,refute_0_1749]) ).

cnf(refute_0_1751,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))) )],[refute_0_1740,refute_0_1750]) ).

cnf(refute_0_1752,plain,
    product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),bigC(c,a,b)),product(X_23,quotient(product(product(product(c,a),b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b)))))) )],[refute_0_1730,refute_0_1751]) ).

cnf(refute_0_1753,plain,
    product(product(c,b),bigC(c,a,b)) = product(product(c,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_1754,plain,
    ( bigC(c,a,b) != c
    | product(product(c,b),bigC(c,a,b)) != product(product(c,b),bigC(c,a,b))
    | product(product(c,b),bigC(c,a,b)) = product(product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1755,plain,
    ( bigC(c,a,b) != c
    | product(product(c,b),bigC(c,a,b)) = product(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),product(product(c,b),bigC(c,a,b))) )],[refute_0_1753,refute_0_1754]) ).

cnf(refute_0_1756,plain,
    product(product(c,b),bigC(c,a,b)) = product(product(c,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1755]) ).

cnf(refute_0_1757,plain,
    ( product(product(c,b),bigC(c,a,b)) != product(product(c,b),c)
    | product(product(c,b),c) != bigC(c,b,c)
    | product(product(c,b),bigC(c,a,b)) = bigC(c,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),bigC(c,a,b)))),bind(Y,$fot(product(product(c,b),c))),bind(Z,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_1758,plain,
    ( product(product(c,b),c) != bigC(c,b,c)
    | product(product(c,b),bigC(c,a,b)) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),product(product(c,b),c)) )],[refute_0_1756,refute_0_1757]) ).

cnf(refute_0_1759,plain,
    product(product(c,b),bigC(c,a,b)) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_395,refute_0_1758]) ).

cnf(refute_0_1760,plain,
    bigC(c,product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,product(product(c,b),bigC(c,a,b)),X_23),
    introduced(tautology,[refl,[$fot(bigC(c,product(product(c,b),bigC(c,a,b)),X_23))]]) ).

cnf(refute_0_1761,plain,
    ( bigC(c,product(product(c,b),bigC(c,a,b)),X_23) != bigC(c,product(product(c,b),bigC(c,a,b)),X_23)
    | product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | bigC(c,product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,bigC(c,b,c),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(c,b),bigC(c,a,b)),X_23),bigC(c,product(product(c,b),bigC(c,a,b)),X_23)) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_1762,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | bigC(c,product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,bigC(c,b,c),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),bigC(c,a,b)),X_23),bigC(c,product(product(c,b),bigC(c,a,b)),X_23)) )],[refute_0_1760,refute_0_1761]) ).

cnf(refute_0_1763,plain,
    bigC(c,product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,bigC(c,b,c),X_23),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_1762]) ).

cnf(refute_0_1764,plain,
    bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23))]]) ).

cnf(refute_0_1765,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23)
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,product(product(c,b),bigC(c,a,b)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1766,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,product(product(c,b),bigC(c,a,b)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23)) )],[refute_0_1764,refute_0_1765]) ).

cnf(refute_0_1767,plain,
    bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,product(product(c,b),bigC(c,a,b)),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1766]) ).

cnf(refute_0_1768,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != bigC(c,product(product(c,b),bigC(c,a,b)),X_23)
    | bigC(c,product(product(c,b),bigC(c,a,b)),X_23) != bigC(c,bigC(c,b,c),X_23)
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,bigC(c,b,c),X_23) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23))),bind(Y,$fot(bigC(c,product(product(c,b),bigC(c,a,b)),X_23))),bind(Z,$fot(bigC(c,bigC(c,b,c),X_23)))]]) ).

cnf(refute_0_1769,plain,
    ( bigC(c,product(product(c,b),bigC(c,a,b)),X_23) != bigC(c,bigC(c,b,c),X_23)
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,bigC(c,b,c),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),bigC(c,product(product(c,b),bigC(c,a,b)),X_23)) )],[refute_0_1767,refute_0_1768]) ).

cnf(refute_0_1770,plain,
    bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) = bigC(c,bigC(c,b,c),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(c,b),bigC(c,a,b)),X_23),bigC(c,bigC(c,b,c),X_23)) )],[refute_0_1763,refute_0_1769]) ).

cnf(refute_0_1771,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != bigC(c,bigC(c,b,c),X_23)
    | bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | bigC(c,bigC(c,b,c),X_23) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) ),[0],$fot(bigC(c,bigC(c,b,c),X_23))]]) ).

cnf(refute_0_1772,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | bigC(c,bigC(c,b,c),X_23) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),bigC(c,bigC(c,b,c),X_23)) )],[refute_0_1770,refute_0_1771]) ).

cnf(refute_0_1773,plain,
    product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),X_23),bigC(c,a,b)))]]) ).

cnf(refute_0_1774,plain,
    ( bigC(c,a,b) != c
    | product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) != product(product(product(c,product(c,b)),X_23),bigC(c,a,b))
    | product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),X_23),bigC(c,a,b)),product(product(product(c,product(c,b)),X_23),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1775,plain,
    ( bigC(c,a,b) != c
    | product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),X_23),bigC(c,a,b)),product(product(product(c,product(c,b)),X_23),bigC(c,a,b))) )],[refute_0_1773,refute_0_1774]) ).

cnf(refute_0_1776,plain,
    product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1775]) ).

cnf(refute_0_1777,plain,
    product(product(product(c,a),b),X_23) = product(product(product(c,a),b),X_23),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),X_23))]]) ).

cnf(refute_0_1778,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),X_23) != product(product(product(c,a),b),X_23)
    | product(product(product(c,a),b),X_23) = product(product(c,product(c,b)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),X_23),product(product(product(c,a),b),X_23)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_1779,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),X_23) = product(product(c,product(c,b)),X_23) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),X_23),product(product(product(c,a),b),X_23)) )],[refute_0_1777,refute_0_1778]) ).

cnf(refute_0_1780,plain,
    product(product(product(c,a),b),X_23) = product(product(c,product(c,b)),X_23),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_1779]) ).

cnf(refute_0_1781,plain,
    product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(product(c,a),b),X_23),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,a),b),X_23),bigC(c,a,b)))]]) ).

cnf(refute_0_1782,plain,
    ( product(product(product(c,a),b),X_23) != product(product(c,product(c,b)),X_23)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) ),[1,0],$fot(product(product(c,product(c,b)),X_23))]]) ).

cnf(refute_0_1783,plain,
    ( product(product(product(c,a),b),X_23) != product(product(c,product(c,b)),X_23)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) )],[refute_0_1781,refute_0_1782]) ).

cnf(refute_0_1784,plain,
    product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),X_23),product(product(c,product(c,b)),X_23)) )],[refute_0_1780,refute_0_1783]) ).

cnf(refute_0_1785,plain,
    ( product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) != product(product(product(c,product(c,b)),X_23),c)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != product(product(product(c,product(c,b)),X_23),bigC(c,a,b))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,a),b),X_23),bigC(c,a,b)))),bind(Y,$fot(product(product(product(c,product(c,b)),X_23),bigC(c,a,b)))),bind(Z,$fot(product(product(product(c,product(c,b)),X_23),c)))]]) ).

cnf(refute_0_1786,plain,
    ( product(product(product(c,product(c,b)),X_23),bigC(c,a,b)) != product(product(product(c,product(c,b)),X_23),c)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),product(product(product(c,product(c,b)),X_23),bigC(c,a,b))) )],[refute_0_1784,refute_0_1785]) ).

cnf(refute_0_1787,plain,
    product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = product(product(product(c,product(c,b)),X_23),c),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),X_23),bigC(c,a,b)),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_1776,refute_0_1786]) ).

cnf(refute_0_1788,plain,
    ( bigC(c,bigC(c,b,c),X_23) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != product(product(product(c,product(c,b)),X_23),c)
    | bigC(c,bigC(c,b,c),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,bigC(c,b,c),X_23),product(product(product(c,product(c,b)),X_23),c)) ),[0],$fot(product(product(product(product(c,a),b),X_23),bigC(c,a,b)))]]) ).

cnf(refute_0_1789,plain,
    ( bigC(c,bigC(c,b,c),X_23) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | bigC(c,bigC(c,b,c),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_1787,refute_0_1788]) ).

cnf(refute_0_1790,plain,
    ( bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23) != product(product(product(product(c,a),b),X_23),bigC(c,a,b))
    | bigC(c,bigC(c,b,c),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) )],[refute_0_1772,refute_0_1789]) ).

cnf(refute_0_1791,plain,
    bigC(c,bigC(c,b,c),X_23) = product(product(product(c,product(c,b)),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(product(c,b),bigC(c,a,b)),X_23),product(product(product(product(c,a),b),X_23),bigC(c,a,b))) )],[refute_0_1738,refute_0_1790]) ).

cnf(refute_0_1792,plain,
    ( bigC(c,bigC(c,b,c),X_23) != product(product(product(c,product(c,b)),X_23),c)
    | product(product(product(c,product(c,b)),X_23),c) = bigC(c,bigC(c,b,c),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,bigC(c,b,c),X_23))),bind(Y,$fot(product(product(product(c,product(c,b)),X_23),c)))]]) ).

cnf(refute_0_1793,plain,
    product(product(product(c,product(c,b)),X_23),c) = bigC(c,bigC(c,b,c),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_1791,refute_0_1792]) ).

cnf(refute_0_1794,plain,
    ( product(product(product(c,product(c,b)),X_23),c) != bigC(c,bigC(c,b,c),X_23)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != product(product(product(c,product(c,b)),X_23),c)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(c,bigC(c,b,c),X_23) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,a),b),X_23),bigC(c,a,b)))),bind(Y,$fot(product(product(product(c,product(c,b)),X_23),c))),bind(Z,$fot(bigC(c,bigC(c,b,c),X_23)))]]) ).

cnf(refute_0_1795,plain,
    ( product(product(product(c,product(c,b)),X_23),c) != bigC(c,bigC(c,b,c),X_23)
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(c,bigC(c,b,c),X_23) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_1787,refute_0_1794]) ).

cnf(refute_0_1796,plain,
    product(product(product(product(c,a),b),X_23),bigC(c,a,b)) = bigC(c,bigC(c,b,c),X_23),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),X_23),c),bigC(c,bigC(c,b,c),X_23)) )],[refute_0_1793,refute_0_1795]) ).

cnf(refute_0_1797,plain,
    ( product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != bigC(c,bigC(c,b,c),X_23)
    | bigC(c,bigC(c,b,c),X_23) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) ),[0],$fot(bigC(c,bigC(c,b,c),X_23))]]) ).

cnf(refute_0_1798,plain,
    ( product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | bigC(c,bigC(c,b,c),X_23) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),bigC(c,bigC(c,b,c),X_23)) )],[refute_0_1796,refute_0_1797]) ).

cnf(refute_0_1799,plain,
    bigC(c,X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(c,X_23,product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1800,plain,
    ( bigC(c,X_23,product(product(c,b),bigC(c,a,b))) != bigC(c,X_23,product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | bigC(c,X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_23,product(product(c,b),bigC(c,a,b))),bigC(c,X_23,product(product(c,b),bigC(c,a,b)))) ),[1,2],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_1801,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | bigC(c,X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(product(c,b),bigC(c,a,b))),bigC(c,X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1799,refute_0_1800]) ).

cnf(refute_0_1802,plain,
    bigC(c,X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_1801]) ).

cnf(refute_0_1803,plain,
    bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_1804,plain,
    ( bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_1805,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1803,refute_0_1804]) ).

cnf(refute_0_1806,plain,
    bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_1805]) ).

cnf(refute_0_1807,plain,
    ( bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) != bigC(c,X_23,product(product(c,b),bigC(c,a,b)))
    | bigC(c,X_23,product(product(c,b),bigC(c,a,b))) != bigC(c,X_23,bigC(c,b,c))
    | bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(bigC(c,X_23,product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(bigC(c,X_23,bigC(c,b,c))))]]) ).

cnf(refute_0_1808,plain,
    ( bigC(c,X_23,product(product(c,b),bigC(c,a,b))) != bigC(c,X_23,bigC(c,b,c))
    | bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),bigC(c,X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1806,refute_0_1807]) ).

cnf(refute_0_1809,plain,
    bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) = bigC(c,X_23,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(product(c,b),bigC(c,a,b))),bigC(c,X_23,bigC(c,b,c))) )],[refute_0_1802,refute_0_1808]) ).

cnf(refute_0_1810,plain,
    ( bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,bigC(c,b,c),X_23) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | bigC(c,bigC(c,b,c),X_23) = bigC(c,X_23,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) ),[1],$fot(bigC(c,X_23,bigC(c,b,c)))]]) ).

cnf(refute_0_1811,plain,
    ( bigC(c,bigC(c,b,c),X_23) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | bigC(c,bigC(c,b,c),X_23) = bigC(c,X_23,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b))),bigC(c,X_23,bigC(c,b,c))) )],[refute_0_1809,refute_0_1810]) ).

cnf(refute_0_1812,plain,
    ( product(product(product(product(c,a),b),X_23),bigC(c,a,b)) != bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))
    | bigC(c,bigC(c,b,c),X_23) = bigC(c,X_23,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1798,refute_0_1811]) ).

cnf(refute_0_1813,plain,
    bigC(c,bigC(c,b,c),X_23) = bigC(c,X_23,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,a),b),X_23),bigC(c,a,b)),bigC(bigC(c,a,b),X_23,product(product(c,b),bigC(c,a,b)))) )],[refute_0_1752,refute_0_1812]) ).

cnf(refute_0_1814,plain,
    bigC(c,bigC(c,b,c),X_23) = bigC(c,bigC(c,b,c),X_23),
    introduced(tautology,[refl,[$fot(bigC(c,bigC(c,b,c),X_23))]]) ).

cnf(refute_0_1815,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,bigC(c,b,c),X_23) != bigC(c,bigC(c,b,c),X_23)
    | bigC(c,bigC(c,b,c),X_23) = bigC(c,bigC(b,a,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(c,bigC(c,b,c),X_23)) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1816,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,bigC(c,b,c),X_23) = bigC(c,bigC(b,a,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(c,bigC(c,b,c),X_23)) )],[refute_0_1814,refute_0_1815]) ).

cnf(refute_0_1817,plain,
    bigC(c,bigC(c,b,c),X_23) = bigC(c,bigC(b,a,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_1816]) ).

cnf(refute_0_1818,plain,
    ( bigC(c,bigC(c,b,c),X_23) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,bigC(c,b,c),X_23) != bigC(c,bigC(b,a,b),X_23)
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,X_23,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(c,X_23,bigC(c,b,c))) ),[0],$fot(bigC(c,bigC(b,a,b),X_23))]]) ).

cnf(refute_0_1819,plain,
    ( bigC(c,bigC(c,b,c),X_23) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,X_23,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(c,bigC(b,a,b),X_23)) )],[refute_0_1817,refute_0_1818]) ).

cnf(refute_0_1820,plain,
    bigC(c,X_23,bigC(c,b,c)) = bigC(c,X_23,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(bigC(c,X_23,bigC(c,b,c)))]]) ).

cnf(refute_0_1821,plain,
    ( bigC(c,X_23,bigC(c,b,c)) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,X_23,bigC(c,b,c)) = bigC(c,X_23,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_23,bigC(c,b,c)),bigC(c,X_23,bigC(c,b,c))) ),[1,2],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1822,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,X_23,bigC(c,b,c)) = bigC(c,X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,bigC(c,b,c)),bigC(c,X_23,bigC(c,b,c))) )],[refute_0_1820,refute_0_1821]) ).

cnf(refute_0_1823,plain,
    bigC(c,X_23,bigC(c,b,c)) = bigC(c,X_23,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_1822]) ).

cnf(refute_0_1824,plain,
    ( bigC(c,X_23,bigC(c,b,c)) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,bigC(b,a,b),X_23) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,X_23,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,X_23,bigC(c,b,c))) ),[1],$fot(bigC(c,X_23,bigC(b,a,b)))]]) ).

cnf(refute_0_1825,plain,
    ( bigC(c,bigC(b,a,b),X_23) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,bigC(c,b,c)),bigC(c,X_23,bigC(b,a,b))) )],[refute_0_1823,refute_0_1824]) ).

cnf(refute_0_1826,plain,
    ( bigC(c,bigC(c,b,c),X_23) != bigC(c,X_23,bigC(c,b,c))
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,X_23,bigC(c,b,c))) )],[refute_0_1819,refute_0_1825]) ).

cnf(refute_0_1827,plain,
    bigC(c,bigC(b,a,b),X_23) = bigC(c,X_23,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(c,X_23,bigC(c,b,c))) )],[refute_0_1813,refute_0_1826]) ).

cnf(refute_0_1828,plain,
    bigC(c,bigC(b,a,b),bigC(a,a,b)) = bigC(c,bigC(a,a,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_1827:[bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_1829,plain,
    product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = bigC(c,bigC(b,a,b),bigC(a,a,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(bigC(b,a,b))),bind(C,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_1830,plain,
    ( bigC(c,bigC(b,a,b),bigC(a,a,b)) != bigC(c,bigC(a,a,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) != bigC(c,bigC(b,a,b),bigC(a,a,b))
    | product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = bigC(c,bigC(a,a,b),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)))),bind(Y,$fot(bigC(c,bigC(b,a,b),bigC(a,a,b)))),bind(Z,$fot(bigC(c,bigC(a,a,b),bigC(b,a,b))))]]) ).

cnf(refute_0_1831,plain,
    ( bigC(c,bigC(b,a,b),bigC(a,a,b)) != bigC(c,bigC(a,a,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = bigC(c,bigC(a,a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)),bigC(c,bigC(b,a,b),bigC(a,a,b))) )],[refute_0_1829,refute_0_1830]) ).

cnf(refute_0_1832,plain,
    product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) = bigC(c,bigC(a,a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),bigC(a,a,b)),bigC(c,bigC(a,a,b),bigC(b,a,b))) )],[refute_0_1828,refute_0_1831]) ).

cnf(refute_0_1833,plain,
    ( product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) != bigC(c,bigC(a,a,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) != c
    | bigC(c,bigC(a,a,b),bigC(b,a,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)),c) ),[0],$fot(bigC(c,bigC(a,a,b),bigC(b,a,b)))]]) ).

cnf(refute_0_1834,plain,
    ( product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)) != c
    | bigC(c,bigC(a,a,b),bigC(b,a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)),bigC(c,bigC(a,a,b),bigC(b,a,b))) )],[refute_0_1832,refute_0_1833]) ).

cnf(refute_0_1835,plain,
    bigC(c,bigC(a,a,b),bigC(b,a,b)) = c,
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(a,a,b),c)),c) )],[refute_0_1714,refute_0_1834]) ).

cnf(refute_0_1836,plain,
    ( bigC(c,bigC(a,a,b),bigC(b,a,b)) != c
    | quotient(bigC(c,bigC(a,a,b),bigC(b,a,b)),product(bigC(b,a,b),c)) != product(c,bigC(a,a,b))
    | quotient(c,product(bigC(b,a,b),c)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,bigC(a,a,b),bigC(b,a,b)),product(bigC(b,a,b),c)),product(c,bigC(a,a,b))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_1837,plain,
    ( quotient(bigC(c,bigC(a,a,b),bigC(b,a,b)),product(bigC(b,a,b),c)) != product(c,bigC(a,a,b))
    | quotient(c,product(bigC(b,a,b),c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,a,b),bigC(b,a,b)),c) )],[refute_0_1835,refute_0_1836]) ).

cnf(refute_0_1838,plain,
    quotient(c,product(bigC(b,a,b),c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,bigC(a,a,b),bigC(b,a,b)),product(bigC(b,a,b),c)),product(c,bigC(a,a,b))) )],[refute_0_1587,refute_0_1837]) ).

cnf(refute_0_1839,plain,
    quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(bigC(a,b,c)))]]) ).

cnf(refute_0_1840,plain,
    ( product(product(c,b),bigC(a,b,c)) != bigC(b,a,b)
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = product(bigC(b,a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_1841,plain,
    ( quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = product(bigC(b,a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,c)),bigC(b,a,b)) )],[refute_0_1308,refute_0_1840]) ).

cnf(refute_0_1842,plain,
    quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = product(bigC(b,a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c))) )],[refute_0_1839,refute_0_1841]) ).

cnf(refute_0_1843,plain,
    bigC(product(c,a),product(b,b),bigC(a,b,c)) = bigC(product(c,a),product(b,b),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(product(c,a),product(b,b),bigC(a,b,c)))]]) ).

cnf(refute_0_1844,plain,
    ( bigC(product(c,a),product(b,b),bigC(a,b,c)) != bigC(product(c,a),product(b,b),bigC(a,b,c))
    | product(b,b) != b
    | bigC(product(c,a),product(b,b),bigC(a,b,c)) = bigC(product(c,a),b,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(b,b),bigC(a,b,c)),bigC(product(c,a),product(b,b),bigC(a,b,c))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_1845,plain,
    ( product(b,b) != b
    | bigC(product(c,a),product(b,b),bigC(a,b,c)) = bigC(product(c,a),b,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,b),bigC(a,b,c)),bigC(product(c,a),product(b,b),bigC(a,b,c))) )],[refute_0_1843,refute_0_1844]) ).

cnf(refute_0_1846,plain,
    bigC(product(c,a),product(b,b),bigC(a,b,c)) = bigC(product(c,a),b,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_1845]) ).

cnf(refute_0_1847,plain,
    bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_64),product(X_65,X_66)),product(C,product(X_63,X_64))),
    inference(subst,[],[sos08:[bind(A,$fot(product(X_63,X_64))),bind(B,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_1848,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),C) != product(product(product(X_63,X_64),product(X_65,X_66)),product(C,product(X_63,X_64)))
    | product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),C),product(product(product(X_63,X_64),product(X_65,X_66)),product(C,product(X_63,X_64)))) ),[1,0],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_1849,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),C) != product(product(product(X_63,X_64),product(X_65,X_66)),product(C,product(X_63,X_64)))
    | bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_1848]) ).

cnf(refute_0_1850,plain,
    bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))),
    inference(resolve,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),C),product(product(product(X_63,X_64),product(X_65,X_66)),product(C,product(X_63,X_64)))) )],[refute_0_1847,refute_0_1849]) ).

cnf(refute_0_1851,plain,
    product(product(X_63,X_64),product(product(A,B),product(C,A))) = product(product(X_63,product(A,B)),product(X_64,product(C,A))),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(product(A,B))),bind(D,$fot(product(C,A)))]]) ).

cnf(refute_0_1852,plain,
    ( product(product(A,B),product(C,A)) != bigC(A,B,C)
    | product(product(X_63,X_64),product(product(A,B),product(C,A))) != product(product(X_63,product(A,B)),product(X_64,product(C,A)))
    | product(product(X_63,X_64),bigC(A,B,C)) = product(product(X_63,product(A,B)),product(X_64,product(C,A))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(A,B),product(C,A))),product(product(X_63,product(A,B)),product(X_64,product(C,A)))) ),[0,1],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_1853,plain,
    ( product(product(X_63,X_64),product(product(A,B),product(C,A))) != product(product(X_63,product(A,B)),product(X_64,product(C,A)))
    | product(product(X_63,X_64),bigC(A,B,C)) = product(product(X_63,product(A,B)),product(X_64,product(C,A))) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_8,refute_0_1852]) ).

cnf(refute_0_1854,plain,
    product(product(X_63,X_64),bigC(A,B,C)) = product(product(X_63,product(A,B)),product(X_64,product(C,A))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(A,B),product(C,A))),product(product(X_63,product(A,B)),product(X_64,product(C,A)))) )],[refute_0_1851,refute_0_1853]) ).

cnf(refute_0_1855,plain,
    ( product(product(X_63,X_64),bigC(A,B,C)) != product(product(X_63,product(A,B)),product(X_64,product(C,A)))
    | product(product(X_63,product(A,B)),product(X_64,product(C,A))) = product(product(X_63,X_64),bigC(A,B,C)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),bigC(A,B,C)))),bind(Y,$fot(product(product(X_63,product(A,B)),product(X_64,product(C,A)))))]]) ).

cnf(refute_0_1856,plain,
    product(product(X_63,product(A,B)),product(X_64,product(C,A))) = product(product(X_63,X_64),bigC(A,B,C)),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),bigC(A,B,C)),product(product(X_63,product(A,B)),product(X_64,product(C,A)))) )],[refute_0_1854,refute_0_1855]) ).

cnf(refute_0_1857,plain,
    product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))) = product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(X_64)),bind(B,$fot(X_66)),bind(C,$fot(X_63)),bind(X_63,$fot(product(X_63,X_65))),bind(X_64,$fot(C))]]) ).

cnf(refute_0_1858,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),C) != product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64)))
    | product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))) != product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63))
    | bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(X_63,X_64),product(X_65,X_66),C),product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63))) ),[0],$fot(product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))))]]) ).

cnf(refute_0_1859,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),C) != product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64)))
    | bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63)) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64))),product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63))) )],[refute_0_1857,refute_0_1858]) ).

cnf(refute_0_1860,plain,
    bigC(product(X_63,X_64),product(X_65,X_66),C) = product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63)),
    inference(resolve,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),C),product(product(product(X_63,X_65),product(X_64,X_66)),product(C,product(X_63,X_64)))) )],[refute_0_1850,refute_0_1859]) ).

cnf(refute_0_1861,plain,
    ( bigC(product(X_63,X_64),product(X_65,X_66),C) != product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63))
    | product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63)) = bigC(product(X_63,X_64),product(X_65,X_66),C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(X_63,X_64),product(X_65,X_66),C))),bind(Y,$fot(product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63))))]]) ).

cnf(refute_0_1862,plain,
    product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63)) = bigC(product(X_63,X_64),product(X_65,X_66),C),
    inference(resolve,[$cnf( $equal(bigC(product(X_63,X_64),product(X_65,X_66),C),product(product(product(X_63,X_65),C),bigC(X_64,X_66,X_63))) )],[refute_0_1860,refute_0_1861]) ).

cnf(refute_0_1863,plain,
    product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c)) = bigC(product(c,a),product(b,b),bigC(a,b,c)),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(bigC(a,b,c))),bind(X_63,$fot(c)),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_1864,plain,
    ( product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c)) != bigC(product(c,a),product(b,b),bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = bigC(product(c,a),product(b,b),bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))))),bind(Y,$fot(product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c)))),bind(Z,$fot(bigC(product(c,a),product(b,b),bigC(a,b,c))))]]) ).

cnf(refute_0_1865,plain,
    ( product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c)) != bigC(product(c,a),product(b,b),bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = bigC(product(c,a),product(b,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c))) )],[refute_0_1839,refute_0_1864]) ).

cnf(refute_0_1866,plain,
    quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = bigC(product(c,a),product(b,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(a,b,c)),bigC(a,b,c)),bigC(product(c,a),product(b,b),bigC(a,b,c))) )],[refute_0_1863,refute_0_1865]) ).

cnf(refute_0_1867,plain,
    ( bigC(product(c,a),product(b,b),bigC(a,b,c)) != bigC(product(c,a),b,bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != bigC(product(c,a),product(b,b),bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = bigC(product(c,a),b,bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))))),bind(Y,$fot(bigC(product(c,a),product(b,b),bigC(a,b,c)))),bind(Z,$fot(bigC(product(c,a),b,bigC(a,b,c))))]]) ).

cnf(refute_0_1868,plain,
    ( bigC(product(c,a),product(b,b),bigC(a,b,c)) != bigC(product(c,a),b,bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = bigC(product(c,a),b,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),bigC(product(c,a),product(b,b),bigC(a,b,c))) )],[refute_0_1866,refute_0_1867]) ).

cnf(refute_0_1869,plain,
    quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) = bigC(product(c,a),b,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(b,b),bigC(a,b,c)),bigC(product(c,a),b,bigC(a,b,c))) )],[refute_0_1846,refute_0_1868]) ).

cnf(refute_0_1870,plain,
    ( quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != bigC(product(c,a),b,bigC(a,b,c))
    | quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != product(bigC(b,a,b),bigC(a,b,c))
    | bigC(product(c,a),b,bigC(a,b,c)) = product(bigC(b,a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),product(bigC(b,a,b),bigC(a,b,c))) ),[0],$fot(bigC(product(c,a),b,bigC(a,b,c)))]]) ).

cnf(refute_0_1871,plain,
    ( quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))) != product(bigC(b,a,b),bigC(a,b,c))
    | bigC(product(c,a),b,bigC(a,b,c)) = product(bigC(b,a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),bigC(product(c,a),b,bigC(a,b,c))) )],[refute_0_1869,refute_0_1870]) ).

cnf(refute_0_1872,plain,
    bigC(product(c,a),b,bigC(a,b,c)) = product(bigC(b,a,b),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,c),product(bigC(a,b,c),product(bigC(a,b,c),product(c,b)))),product(bigC(b,a,b),bigC(a,b,c))) )],[refute_0_1842,refute_0_1871]) ).

cnf(refute_0_1873,plain,
    bigC(product(c,a),b,bigC(a,b,c)) = bigC(product(c,a),b,bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(product(c,a),b,bigC(a,b,c)))]]) ).

cnf(refute_0_1874,plain,
    ( bigC(a,b,c) != c
    | bigC(product(c,a),b,bigC(a,b,c)) != bigC(product(c,a),b,bigC(a,b,c))
    | bigC(product(c,a),b,bigC(a,b,c)) = bigC(product(c,a),b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),b,bigC(a,b,c)),bigC(product(c,a),b,bigC(a,b,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_1875,plain,
    ( bigC(a,b,c) != c
    | bigC(product(c,a),b,bigC(a,b,c)) = bigC(product(c,a),b,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,bigC(a,b,c)),bigC(product(c,a),b,bigC(a,b,c))) )],[refute_0_1873,refute_0_1874]) ).

cnf(refute_0_1876,plain,
    bigC(product(c,a),b,bigC(a,b,c)) = bigC(product(c,a),b,c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_1875]) ).

cnf(refute_0_1877,plain,
    ( bigC(product(c,a),b,bigC(a,b,c)) != bigC(product(c,a),b,c)
    | bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | bigC(product(c,a),b,bigC(a,b,c)) = bigC(a,b,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,a),b,bigC(a,b,c)))),bind(Y,$fot(bigC(product(c,a),b,c))),bind(Z,$fot(bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_1878,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | bigC(product(c,a),b,bigC(a,b,c)) = bigC(a,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,bigC(a,b,c)),bigC(product(c,a),b,c)) )],[refute_0_1876,refute_0_1877]) ).

cnf(refute_0_1879,plain,
    bigC(product(c,a),b,bigC(a,b,c)) = bigC(a,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_1878]) ).

cnf(refute_0_1880,plain,
    ( bigC(product(c,a),b,bigC(a,b,c)) != bigC(a,b,product(b,c))
    | bigC(product(c,a),b,bigC(a,b,c)) != product(bigC(b,a,b),bigC(a,b,c))
    | bigC(a,b,product(b,c)) = product(bigC(b,a,b),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),b,bigC(a,b,c)),product(bigC(b,a,b),bigC(a,b,c))) ),[0],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_1881,plain,
    ( bigC(product(c,a),b,bigC(a,b,c)) != product(bigC(b,a,b),bigC(a,b,c))
    | bigC(a,b,product(b,c)) = product(bigC(b,a,b),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,bigC(a,b,c)),bigC(a,b,product(b,c))) )],[refute_0_1879,refute_0_1880]) ).

cnf(refute_0_1882,plain,
    product(bigC(b,a,b),bigC(a,b,c)) = product(bigC(b,a,b),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_1883,plain,
    ( bigC(a,b,c) != c
    | product(bigC(b,a,b),bigC(a,b,c)) != product(bigC(b,a,b),bigC(a,b,c))
    | product(bigC(b,a,b),bigC(a,b,c)) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(a,b,c)),product(bigC(b,a,b),bigC(a,b,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_1884,plain,
    ( bigC(a,b,c) != c
    | product(bigC(b,a,b),bigC(a,b,c)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,b,c)),product(bigC(b,a,b),bigC(a,b,c))) )],[refute_0_1882,refute_0_1883]) ).

cnf(refute_0_1885,plain,
    product(bigC(b,a,b),bigC(a,b,c)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_1884]) ).

cnf(refute_0_1886,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),bigC(a,b,c))
    | product(bigC(b,a,b),bigC(a,b,c)) != product(bigC(b,a,b),c)
    | bigC(a,b,product(b,c)) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) ),[0],$fot(product(bigC(b,a,b),bigC(a,b,c)))]]) ).

cnf(refute_0_1887,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),bigC(a,b,c))
    | bigC(a,b,product(b,c)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,b,c)),product(bigC(b,a,b),c)) )],[refute_0_1885,refute_0_1886]) ).

cnf(refute_0_1888,plain,
    ( bigC(product(c,a),b,bigC(a,b,c)) != product(bigC(b,a,b),bigC(a,b,c))
    | bigC(a,b,product(b,c)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),bigC(a,b,c))) )],[refute_0_1881,refute_0_1887]) ).

cnf(refute_0_1889,plain,
    bigC(a,b,product(b,c)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,bigC(a,b,c)),product(bigC(b,a,b),bigC(a,b,c))) )],[refute_0_1872,refute_0_1888]) ).

cnf(refute_0_1890,plain,
    quotient(c,bigC(a,b,product(b,c))) = quotient(c,bigC(a,b,product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(c,bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_1891,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | quotient(c,bigC(a,b,product(b,c))) != quotient(c,bigC(a,b,product(b,c)))
    | quotient(c,bigC(a,b,product(b,c))) = quotient(c,product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(a,b,product(b,c))),quotient(c,bigC(a,b,product(b,c)))) ),[1,1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_1892,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | quotient(c,bigC(a,b,product(b,c))) = quotient(c,product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,product(b,c))),quotient(c,bigC(a,b,product(b,c)))) )],[refute_0_1890,refute_0_1891]) ).

cnf(refute_0_1893,plain,
    quotient(c,bigC(a,b,product(b,c))) = quotient(c,product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_1889,refute_0_1892]) ).

cnf(refute_0_1894,plain,
    ( quotient(c,bigC(a,b,product(b,c))) != quotient(c,product(bigC(b,a,b),c))
    | quotient(c,product(bigC(b,a,b),c)) != product(c,bigC(a,a,b))
    | quotient(c,bigC(a,b,product(b,c))) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(c,bigC(a,b,product(b,c))))),bind(Y,$fot(quotient(c,product(bigC(b,a,b),c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_1895,plain,
    ( quotient(c,product(bigC(b,a,b),c)) != product(c,bigC(a,a,b))
    | quotient(c,bigC(a,b,product(b,c))) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,product(b,c))),quotient(c,product(bigC(b,a,b),c))) )],[refute_0_1893,refute_0_1894]) ).

cnf(refute_0_1896,plain,
    quotient(c,bigC(a,b,product(b,c))) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(c,product(bigC(b,a,b),c)),product(c,bigC(a,a,b))) )],[refute_0_1838,refute_0_1895]) ).

cnf(refute_0_1897,plain,
    ( quotient(c,bigC(a,b,product(b,c))) != product(c,bigC(a,a,b))
    | quotient(c,bigC(a,b,product(b,c))) != product(product(product(b,a),c),c)
    | product(c,bigC(a,a,b)) = product(product(product(b,a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(a,b,product(b,c))),product(product(product(b,a),c),c)) ),[0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_1898,plain,
    ( quotient(c,bigC(a,b,product(b,c))) != product(product(product(b,a),c),c)
    | product(c,bigC(a,a,b)) = product(product(product(b,a),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,product(b,c))),product(c,bigC(a,a,b))) )],[refute_0_1896,refute_0_1897]) ).

cnf(refute_0_1899,plain,
    product(c,bigC(a,a,b)) = product(product(product(b,a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,product(b,c))),product(product(product(b,a),c),c)) )],[refute_0_1586,refute_0_1898]) ).

cnf(refute_0_1900,plain,
    ( product(c,bigC(a,a,b)) != product(product(product(b,a),c),c)
    | product(product(product(b,a),c),c) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,a,b)))),bind(Y,$fot(product(product(product(b,a),c),c)))]]) ).

cnf(refute_0_1901,plain,
    product(product(product(b,a),c),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,b)),product(product(product(b,a),c),c)) )],[refute_0_1899,refute_0_1900]) ).

cnf(refute_0_1902,plain,
    ( product(product(product(b,a),c),c) != product(c,bigC(a,a,b))
    | quotient(product(product(product(b,a),c),c),c) != product(product(b,a),c)
    | quotient(product(c,bigC(a,a,b)),c) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(b,a),c),c),c),product(product(b,a),c)) ),[0,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_1903,plain,
    ( quotient(product(product(product(b,a),c),c),c) != product(product(b,a),c)
    | quotient(product(c,bigC(a,a,b)),c) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),c),product(c,bigC(a,a,b))) )],[refute_0_1901,refute_0_1902]) ).

cnf(refute_0_1904,plain,
    quotient(product(c,bigC(a,a,b)),c) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(b,a),c),c),c),product(product(b,a),c)) )],[refute_0_1378,refute_0_1903]) ).

cnf(refute_0_1905,plain,
    product(c,quotient(bigC(a,a,b),c)) = product(c,quotient(bigC(a,a,b),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(bigC(a,a,b),c)))]]) ).

cnf(refute_0_1906,plain,
    ( product(c,quotient(bigC(a,a,b),c)) != product(c,quotient(bigC(a,a,b),c))
    | quotient(bigC(a,a,b),c) != product(c,a)
    | product(c,quotient(bigC(a,a,b),c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(bigC(a,a,b),c)),product(c,quotient(bigC(a,a,b),c))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_1907,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | product(c,quotient(bigC(a,a,b),c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,b),c)),product(c,quotient(bigC(a,a,b),c))) )],[refute_0_1905,refute_0_1906]) ).

cnf(refute_0_1908,plain,
    product(c,quotient(bigC(a,a,b),c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_1531,refute_0_1907]) ).

cnf(refute_0_1909,plain,
    quotient(bigC(X_85,X_85,quotient(A,X_85)),X_85) = product(X_85,quotient(A,X_85)),
    inference(subst,[],[refute_0_738:[bind(X_79,$fot(X_85)),bind(X_80,$fot(quotient(A,X_85)))]]) ).

cnf(refute_0_1910,plain,
    bigC(X_85,X_85,quotient(A,X_85)) = product(product(X_85,X_85),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(X_85)),bind(X_22,$fot(X_85))]]) ).

cnf(refute_0_1911,plain,
    ( bigC(X_85,X_85,quotient(A,X_85)) != product(product(X_85,X_85),A)
    | quotient(bigC(X_85,X_85,quotient(A,X_85)),X_85) != product(X_85,quotient(A,X_85))
    | quotient(product(product(X_85,X_85),A),X_85) = product(X_85,quotient(A,X_85)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(X_85,X_85,quotient(A,X_85)),X_85),product(X_85,quotient(A,X_85))) ),[0,0],$fot(product(product(X_85,X_85),A))]]) ).

cnf(refute_0_1912,plain,
    ( quotient(bigC(X_85,X_85,quotient(A,X_85)),X_85) != product(X_85,quotient(A,X_85))
    | quotient(product(product(X_85,X_85),A),X_85) = product(X_85,quotient(A,X_85)) ),
    inference(resolve,[$cnf( $equal(bigC(X_85,X_85,quotient(A,X_85)),product(product(X_85,X_85),A)) )],[refute_0_1910,refute_0_1911]) ).

cnf(refute_0_1913,plain,
    quotient(product(product(X_85,X_85),A),X_85) = product(X_85,quotient(A,X_85)),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_85,X_85,quotient(A,X_85)),X_85),product(X_85,quotient(A,X_85))) )],[refute_0_1909,refute_0_1912]) ).

cnf(refute_0_1914,plain,
    product(X_85,X_85) = X_85,
    inference(subst,[],[sos06:[bind(A,$fot(X_85))]]) ).

cnf(refute_0_1915,plain,
    product(product(X_85,X_85),A) = product(product(X_85,X_85),A),
    introduced(tautology,[refl,[$fot(product(product(X_85,X_85),A))]]) ).

cnf(refute_0_1916,plain,
    ( product(X_85,X_85) != X_85
    | product(product(X_85,X_85),A) != product(product(X_85,X_85),A)
    | product(product(X_85,X_85),A) = product(X_85,A) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_85,X_85),A),product(product(X_85,X_85),A)) ),[1,0],$fot(X_85)]]) ).

cnf(refute_0_1917,plain,
    ( product(X_85,X_85) != X_85
    | product(product(X_85,X_85),A) = product(X_85,A) ),
    inference(resolve,[$cnf( $equal(product(product(X_85,X_85),A),product(product(X_85,X_85),A)) )],[refute_0_1915,refute_0_1916]) ).

cnf(refute_0_1918,plain,
    product(product(X_85,X_85),A) = product(X_85,A),
    inference(resolve,[$cnf( $equal(product(X_85,X_85),X_85) )],[refute_0_1914,refute_0_1917]) ).

cnf(refute_0_1919,plain,
    quotient(product(product(X_85,X_85),A),X_85) = quotient(product(product(X_85,X_85),A),X_85),
    introduced(tautology,[refl,[$fot(quotient(product(product(X_85,X_85),A),X_85))]]) ).

cnf(refute_0_1920,plain,
    ( product(product(X_85,X_85),A) != product(X_85,A)
    | quotient(product(product(X_85,X_85),A),X_85) != quotient(product(product(X_85,X_85),A),X_85)
    | quotient(product(product(X_85,X_85),A),X_85) = quotient(product(X_85,A),X_85) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(X_85,X_85),A),X_85),quotient(product(product(X_85,X_85),A),X_85)) ),[1,0],$fot(product(X_85,A))]]) ).

cnf(refute_0_1921,plain,
    ( product(product(X_85,X_85),A) != product(X_85,A)
    | quotient(product(product(X_85,X_85),A),X_85) = quotient(product(X_85,A),X_85) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_85,X_85),A),X_85),quotient(product(product(X_85,X_85),A),X_85)) )],[refute_0_1919,refute_0_1920]) ).

cnf(refute_0_1922,plain,
    quotient(product(product(X_85,X_85),A),X_85) = quotient(product(X_85,A),X_85),
    inference(resolve,[$cnf( $equal(product(product(X_85,X_85),A),product(X_85,A)) )],[refute_0_1918,refute_0_1921]) ).

cnf(refute_0_1923,plain,
    ( quotient(product(product(X_85,X_85),A),X_85) != product(X_85,quotient(A,X_85))
    | quotient(product(product(X_85,X_85),A),X_85) != quotient(product(X_85,A),X_85)
    | quotient(product(X_85,A),X_85) = product(X_85,quotient(A,X_85)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(X_85,X_85),A),X_85),product(X_85,quotient(A,X_85))) ),[0],$fot(quotient(product(X_85,A),X_85))]]) ).

cnf(refute_0_1924,plain,
    ( quotient(product(product(X_85,X_85),A),X_85) != product(X_85,quotient(A,X_85))
    | quotient(product(X_85,A),X_85) = product(X_85,quotient(A,X_85)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_85,X_85),A),X_85),quotient(product(X_85,A),X_85)) )],[refute_0_1922,refute_0_1923]) ).

cnf(refute_0_1925,plain,
    quotient(product(X_85,A),X_85) = product(X_85,quotient(A,X_85)),
    inference(resolve,[$cnf( $equal(quotient(product(product(X_85,X_85),A),X_85),product(X_85,quotient(A,X_85))) )],[refute_0_1913,refute_0_1924]) ).

cnf(refute_0_1926,plain,
    quotient(product(c,bigC(a,a,b)),c) = product(c,quotient(bigC(a,a,b),c)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(bigC(a,a,b))),bind(X_85,$fot(c))]]) ).

cnf(refute_0_1927,plain,
    ( product(c,quotient(bigC(a,a,b),c)) != product(c,product(c,a))
    | quotient(product(c,bigC(a,a,b)),c) != product(c,quotient(bigC(a,a,b),c))
    | quotient(product(c,bigC(a,a,b)),c) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,bigC(a,a,b)),c))),bind(Y,$fot(product(c,quotient(bigC(a,a,b),c)))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_1928,plain,
    ( product(c,quotient(bigC(a,a,b),c)) != product(c,product(c,a))
    | quotient(product(c,bigC(a,a,b)),c) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,b)),c),product(c,quotient(bigC(a,a,b),c))) )],[refute_0_1926,refute_0_1927]) ).

cnf(refute_0_1929,plain,
    quotient(product(c,bigC(a,a,b)),c) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,b),c)),product(c,product(c,a))) )],[refute_0_1908,refute_0_1928]) ).

cnf(refute_0_1930,plain,
    ( quotient(product(c,bigC(a,a,b)),c) != product(c,product(c,a))
    | quotient(product(c,bigC(a,a,b)),c) != product(product(b,a),c)
    | product(c,product(c,a)) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(a,a,b)),c),product(product(b,a),c)) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_1931,plain,
    ( quotient(product(c,bigC(a,a,b)),c) != product(product(b,a),c)
    | product(c,product(c,a)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,b)),c),product(c,product(c,a))) )],[refute_0_1929,refute_0_1930]) ).

cnf(refute_0_1932,plain,
    product(c,product(c,a)) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,b)),c),product(product(b,a),c)) )],[refute_0_1904,refute_0_1931]) ).

cnf(refute_0_1933,plain,
    ( product(c,product(c,a)) != product(product(b,a),c)
    | product(product(b,a),c) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(product(product(b,a),c)))]]) ).

cnf(refute_0_1934,plain,
    product(product(b,a),c) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),product(product(b,a),c)) )],[refute_0_1932,refute_0_1933]) ).

cnf(refute_0_1935,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | quotient(product(product(b,a),c),c) != product(b,a)
    | quotient(product(c,product(c,a)),c) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,a),c),c),product(b,a)) ),[0,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_1936,plain,
    ( quotient(product(product(b,a),c),c) != product(b,a)
    | quotient(product(c,product(c,a)),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_1935]) ).

cnf(refute_0_1937,plain,
    quotient(product(c,product(c,a)),c) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,a),c),c),product(b,a)) )],[refute_0_1377,refute_0_1936]) ).

cnf(refute_0_1938,plain,
    ( difference(product(X_19,X_20),X_20) != product(X_20,product(X_20,quotient(X_19,X_20)))
    | product(X_20,product(X_20,quotient(X_19,X_20))) = difference(product(X_19,X_20),X_20) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(X_19,X_20),X_20))),bind(Y,$fot(product(X_20,product(X_20,quotient(X_19,X_20)))))]]) ).

cnf(refute_0_1939,plain,
    product(X_20,product(X_20,quotient(X_19,X_20))) = difference(product(X_19,X_20),X_20),
    inference(resolve,[$cnf( $equal(difference(product(X_19,X_20),X_20),product(X_20,product(X_20,quotient(X_19,X_20)))) )],[refute_0_1369,refute_0_1938]) ).

cnf(refute_0_1940,plain,
    product(c,product(c,quotient(a,c))) = difference(product(a,c),c),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(a)),bind(X_20,$fot(c))]]) ).

cnf(refute_0_1941,plain,
    quotient(product(c,a),c) = product(c,quotient(a,c)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(a)),bind(X_85,$fot(c))]]) ).

cnf(refute_0_1942,plain,
    product(c,quotient(product(c,a),c)) = product(c,quotient(product(c,a),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(c,a),c)))]]) ).

cnf(refute_0_1943,plain,
    ( product(c,quotient(product(c,a),c)) != product(c,quotient(product(c,a),c))
    | quotient(product(c,a),c) != product(c,quotient(a,c))
    | product(c,quotient(product(c,a),c)) = product(c,product(c,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(c,a),c)),product(c,quotient(product(c,a),c))) ),[1,1],$fot(product(c,quotient(a,c)))]]) ).

cnf(refute_0_1944,plain,
    ( quotient(product(c,a),c) != product(c,quotient(a,c))
    | product(c,quotient(product(c,a),c)) = product(c,product(c,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,a),c)),product(c,quotient(product(c,a),c))) )],[refute_0_1942,refute_0_1943]) ).

cnf(refute_0_1945,plain,
    product(c,quotient(product(c,a),c)) = product(c,product(c,quotient(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),c),product(c,quotient(a,c))) )],[refute_0_1941,refute_0_1944]) ).

cnf(refute_0_1946,plain,
    ( product(c,product(c,quotient(a,c))) != difference(product(a,c),c)
    | product(c,quotient(product(c,a),c)) != product(c,product(c,quotient(a,c)))
    | product(c,quotient(product(c,a),c)) = difference(product(a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,quotient(product(c,a),c)))),bind(Y,$fot(product(c,product(c,quotient(a,c))))),bind(Z,$fot(difference(product(a,c),c)))]]) ).

cnf(refute_0_1947,plain,
    ( product(c,product(c,quotient(a,c))) != difference(product(a,c),c)
    | product(c,quotient(product(c,a),c)) = difference(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,a),c)),product(c,product(c,quotient(a,c)))) )],[refute_0_1945,refute_0_1946]) ).

cnf(refute_0_1948,plain,
    product(c,quotient(product(c,a),c)) = difference(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(a,c))),difference(product(a,c),c)) )],[refute_0_1940,refute_0_1947]) ).

cnf(refute_0_1949,plain,
    quotient(product(c,product(c,a)),c) = product(c,quotient(product(c,a),c)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(product(c,a))),bind(X_85,$fot(c))]]) ).

cnf(refute_0_1950,plain,
    ( product(c,quotient(product(c,a),c)) != difference(product(a,c),c)
    | quotient(product(c,product(c,a)),c) != product(c,quotient(product(c,a),c))
    | quotient(product(c,product(c,a)),c) = difference(product(a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,product(c,a)),c))),bind(Y,$fot(product(c,quotient(product(c,a),c)))),bind(Z,$fot(difference(product(a,c),c)))]]) ).

cnf(refute_0_1951,plain,
    ( product(c,quotient(product(c,a),c)) != difference(product(a,c),c)
    | quotient(product(c,product(c,a)),c) = difference(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),c),product(c,quotient(product(c,a),c))) )],[refute_0_1949,refute_0_1950]) ).

cnf(refute_0_1952,plain,
    quotient(product(c,product(c,a)),c) = difference(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,a),c)),difference(product(a,c),c)) )],[refute_0_1948,refute_0_1951]) ).

cnf(refute_0_1953,plain,
    ( quotient(product(c,product(c,a)),c) != difference(product(a,c),c)
    | quotient(product(c,product(c,a)),c) != product(b,a)
    | difference(product(a,c),c) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,a)),c),product(b,a)) ),[0],$fot(difference(product(a,c),c))]]) ).

cnf(refute_0_1954,plain,
    ( quotient(product(c,product(c,a)),c) != product(b,a)
    | difference(product(a,c),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),c),difference(product(a,c),c)) )],[refute_0_1952,refute_0_1953]) ).

cnf(refute_0_1955,plain,
    difference(product(a,c),c) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),c),product(b,a)) )],[refute_0_1937,refute_0_1954]) ).

cnf(refute_0_1956,plain,
    ( difference(c,difference(product(a,c),c)) != product(c,quotient(a,c))
    | difference(product(a,c),c) != product(b,a)
    | difference(c,product(b,a)) = product(c,quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(a,c),c)),product(c,quotient(a,c))) ),[0,1],$fot(product(b,a))]]) ).

cnf(refute_0_1957,plain,
    ( difference(c,difference(product(a,c),c)) != product(c,quotient(a,c))
    | difference(c,product(b,a)) = product(c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),c),product(b,a)) )],[refute_0_1955,refute_0_1956]) ).

cnf(refute_0_1958,plain,
    difference(c,product(b,a)) = product(c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,c),c)),product(c,quotient(a,c))) )],[refute_0_1376,refute_0_1957]) ).

cnf(refute_0_1959,plain,
    ( difference(c,product(b,a)) != product(c,quotient(a,c))
    | product(c,quotient(a,c)) = difference(c,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(b,a)))),bind(Y,$fot(product(c,quotient(a,c))))]]) ).

cnf(refute_0_1960,plain,
    product(c,quotient(a,c)) = difference(c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),product(c,quotient(a,c))) )],[refute_0_1958,refute_0_1959]) ).

cnf(refute_0_1961,plain,
    ( product(c,quotient(a,c)) != difference(c,product(b,a))
    | quotient(quotient(c,product(c,quotient(a,c))),c) != difference(c,product(quotient(a,c),c))
    | quotient(quotient(c,difference(c,product(b,a))),c) = difference(c,product(quotient(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,quotient(a,c))),c),difference(c,product(quotient(a,c),c))) ),[0,0,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_1962,plain,
    ( quotient(quotient(c,product(c,quotient(a,c))),c) != difference(c,product(quotient(a,c),c))
    | quotient(quotient(c,difference(c,product(b,a))),c) = difference(c,product(quotient(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_1961]) ).

cnf(refute_0_1963,plain,
    quotient(quotient(c,difference(c,product(b,a))),c) = difference(c,product(quotient(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,quotient(a,c))),c),difference(c,product(quotient(a,c),c))) )],[refute_0_1358,refute_0_1962]) ).

cnf(refute_0_1964,plain,
    product(quotient(a,c),c) = a,
    inference(subst,[],[sos04:[bind(A,$fot(a)),bind(B,$fot(c))]]) ).

cnf(refute_0_1965,plain,
    difference(c,product(quotient(a,c),c)) = difference(c,product(quotient(a,c),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(a,c),c)))]]) ).

cnf(refute_0_1966,plain,
    ( difference(c,product(quotient(a,c),c)) != difference(c,product(quotient(a,c),c))
    | product(quotient(a,c),c) != a
    | difference(c,product(quotient(a,c),c)) = difference(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(a,c),c)),difference(c,product(quotient(a,c),c))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_1967,plain,
    ( product(quotient(a,c),c) != a
    | difference(c,product(quotient(a,c),c)) = difference(c,a) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(a,c),c)),difference(c,product(quotient(a,c),c))) )],[refute_0_1965,refute_0_1966]) ).

cnf(refute_0_1968,plain,
    difference(c,product(quotient(a,c),c)) = difference(c,a),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),c),a) )],[refute_0_1964,refute_0_1967]) ).

cnf(refute_0_1969,plain,
    ( difference(c,product(quotient(a,c),c)) != difference(c,a)
    | quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,product(quotient(a,c),c))
    | quotient(quotient(c,difference(c,product(b,a))),c) = difference(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,product(quotient(a,c),c))) ),[1],$fot(difference(c,a))]]) ).

cnf(refute_0_1970,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,product(quotient(a,c),c))
    | quotient(quotient(c,difference(c,product(b,a))),c) = difference(c,a) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(a,c),c)),difference(c,a)) )],[refute_0_1968,refute_0_1969]) ).

cnf(refute_0_1971,plain,
    quotient(quotient(c,difference(c,product(b,a))),c) = difference(c,a),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,product(quotient(a,c),c))) )],[refute_0_1963,refute_0_1970]) ).

cnf(refute_0_1972,plain,
    ( product(quotient(quotient(c,difference(c,product(b,a))),c),c) != quotient(c,difference(c,product(b,a)))
    | quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,a)
    | product(difference(c,a),c) = quotient(c,difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(c,difference(c,product(b,a))),c),c),quotient(c,difference(c,product(b,a)))) ),[0,0],$fot(difference(c,a))]]) ).

cnf(refute_0_1973,plain,
    ( product(quotient(quotient(c,difference(c,product(b,a))),c),c) != quotient(c,difference(c,product(b,a)))
    | product(difference(c,a),c) = quotient(c,difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,a)) )],[refute_0_1971,refute_0_1972]) ).

cnf(refute_0_1974,plain,
    product(difference(c,a),c) = quotient(c,difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,difference(c,product(b,a))),c),c),quotient(c,difference(c,product(b,a)))) )],[refute_0_1357,refute_0_1973]) ).

cnf(refute_0_1975,plain,
    product(difference(c,a),c) = difference(c,product(a,c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(a)),bind(X_74,$fot(c))]]) ).

cnf(refute_0_1976,plain,
    ( product(difference(c,a),c) != difference(c,product(a,c))
    | product(difference(c,a),c) != quotient(c,difference(c,product(b,a)))
    | difference(c,product(a,c)) = quotient(c,difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,a),c),quotient(c,difference(c,product(b,a)))) ),[0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_1977,plain,
    ( product(difference(c,a),c) != quotient(c,difference(c,product(b,a)))
    | difference(c,product(a,c)) = quotient(c,difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,a),c),difference(c,product(a,c))) )],[refute_0_1975,refute_0_1976]) ).

cnf(refute_0_1978,plain,
    difference(c,product(a,c)) = quotient(c,difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(difference(c,a),c),quotient(c,difference(c,product(b,a)))) )],[refute_0_1974,refute_0_1977]) ).

cnf(refute_0_1979,plain,
    ( difference(c,product(a,c)) != quotient(c,difference(c,product(b,a)))
    | quotient(c,difference(c,product(b,a))) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,c)))),bind(Y,$fot(quotient(c,difference(c,product(b,a)))))]]) ).

cnf(refute_0_1980,plain,
    quotient(c,difference(c,product(b,a))) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),quotient(c,difference(c,product(b,a)))) )],[refute_0_1978,refute_0_1979]) ).

cnf(refute_0_1981,plain,
    ( quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | quotient(quotient(c,difference(c,product(b,a))),product(quotient(c,difference(c,product(b,a))),c)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(quotient(c,difference(c,product(b,a))),c)),product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))) ),[0,1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_1982,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),product(quotient(c,difference(c,product(b,a))),c)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_1981]) ).

cnf(refute_0_1983,plain,
    quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(quotient(c,difference(c,product(b,a))),c)),product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))) )],[refute_0_1356,refute_0_1982]) ).

cnf(refute_0_1984,plain,
    product(difference(X_18,product(B,X_18)),X_18) = difference(X_18,product(product(B,X_18),X_18)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(B,X_18))),bind(X_74,$fot(X_18))]]) ).

cnf(refute_0_1985,plain,
    product(difference(X_18,B),X_18) = difference(X_18,product(B,X_18)),
    inference(subst,[],[refute_0_819:[bind(X_74,$fot(X_18))]]) ).

cnf(refute_0_1986,plain,
    product(product(difference(X_18,B),X_18),X_18) = product(product(difference(X_18,B),X_18),X_18),
    introduced(tautology,[refl,[$fot(product(product(difference(X_18,B),X_18),X_18))]]) ).

cnf(refute_0_1987,plain,
    ( product(difference(X_18,B),X_18) != difference(X_18,product(B,X_18))
    | product(product(difference(X_18,B),X_18),X_18) != product(product(difference(X_18,B),X_18),X_18)
    | product(product(difference(X_18,B),X_18),X_18) = product(difference(X_18,product(B,X_18)),X_18) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(X_18,B),X_18),X_18),product(product(difference(X_18,B),X_18),X_18)) ),[1,0],$fot(difference(X_18,product(B,X_18)))]]) ).

cnf(refute_0_1988,plain,
    ( product(difference(X_18,B),X_18) != difference(X_18,product(B,X_18))
    | product(product(difference(X_18,B),X_18),X_18) = product(difference(X_18,product(B,X_18)),X_18) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_18,B),X_18),X_18),product(product(difference(X_18,B),X_18),X_18)) )],[refute_0_1986,refute_0_1987]) ).

cnf(refute_0_1989,plain,
    product(product(difference(X_18,B),X_18),X_18) = product(difference(X_18,product(B,X_18)),X_18),
    inference(resolve,[$cnf( $equal(product(difference(X_18,B),X_18),difference(X_18,product(B,X_18))) )],[refute_0_1985,refute_0_1988]) ).

cnf(refute_0_1990,plain,
    ( product(difference(X_18,product(B,X_18)),X_18) != difference(X_18,product(product(B,X_18),X_18))
    | product(product(difference(X_18,B),X_18),X_18) != product(difference(X_18,product(B,X_18)),X_18)
    | product(product(difference(X_18,B),X_18),X_18) = difference(X_18,product(product(B,X_18),X_18)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(X_18,B),X_18),X_18))),bind(Y,$fot(product(difference(X_18,product(B,X_18)),X_18))),bind(Z,$fot(difference(X_18,product(product(B,X_18),X_18))))]]) ).

cnf(refute_0_1991,plain,
    ( product(difference(X_18,product(B,X_18)),X_18) != difference(X_18,product(product(B,X_18),X_18))
    | product(product(difference(X_18,B),X_18),X_18) = difference(X_18,product(product(B,X_18),X_18)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_18,B),X_18),X_18),product(difference(X_18,product(B,X_18)),X_18)) )],[refute_0_1989,refute_0_1990]) ).

cnf(refute_0_1992,plain,
    product(product(difference(X_18,B),X_18),X_18) = difference(X_18,product(product(B,X_18),X_18)),
    inference(resolve,[$cnf( $equal(product(difference(X_18,product(B,X_18)),X_18),difference(X_18,product(product(B,X_18),X_18))) )],[refute_0_1984,refute_0_1991]) ).

cnf(refute_0_1993,plain,
    ( product(product(difference(X_18,B),X_18),X_18) != difference(X_18,product(product(B,X_18),X_18))
    | quotient(X_18,product(X_18,B)) != product(product(difference(X_18,B),X_18),X_18)
    | quotient(X_18,product(X_18,B)) = difference(X_18,product(product(B,X_18),X_18)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(X_18,product(X_18,B)),product(product(difference(X_18,B),X_18),X_18)) ),[1],$fot(difference(X_18,product(product(B,X_18),X_18)))]]) ).

cnf(refute_0_1994,plain,
    ( quotient(X_18,product(X_18,B)) != product(product(difference(X_18,B),X_18),X_18)
    | quotient(X_18,product(X_18,B)) = difference(X_18,product(product(B,X_18),X_18)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_18,B),X_18),X_18),difference(X_18,product(product(B,X_18),X_18))) )],[refute_0_1992,refute_0_1993]) ).

cnf(refute_0_1995,plain,
    quotient(X_18,product(X_18,B)) = difference(X_18,product(product(B,X_18),X_18)),
    inference(resolve,[$cnf( $equal(quotient(X_18,product(X_18,B)),product(product(difference(X_18,B),X_18),X_18)) )],[refute_0_753,refute_0_1994]) ).

cnf(refute_0_1996,plain,
    ( quotient(X_18,product(X_18,B)) != difference(X_18,product(product(B,X_18),X_18))
    | difference(X_18,product(product(B,X_18),X_18)) = quotient(X_18,product(X_18,B)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(X_18,product(X_18,B)))),bind(Y,$fot(difference(X_18,product(product(B,X_18),X_18))))]]) ).

cnf(refute_0_1997,plain,
    difference(X_18,product(product(B,X_18),X_18)) = quotient(X_18,product(X_18,B)),
    inference(resolve,[$cnf( $equal(quotient(X_18,product(X_18,B)),difference(X_18,product(product(B,X_18),X_18))) )],[refute_0_1995,refute_0_1996]) ).

cnf(refute_0_1998,plain,
    difference(c,product(product(a,c),c)) = quotient(c,product(c,a)),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(a)),bind(X_18,$fot(c))]]) ).

cnf(refute_0_1999,plain,
    ( difference(c,product(product(a,c),c)) != quotient(c,product(c,a))
    | quotient(c,product(c,a)) != product(a,b)
    | difference(c,product(product(a,c),c)) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(a,c),c)))),bind(Y,$fot(quotient(c,product(c,a)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_2000,plain,
    ( quotient(c,product(c,a)) != product(a,b)
    | difference(c,product(product(a,c),c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,c),c)),quotient(c,product(c,a))) )],[refute_0_1998,refute_0_1999]) ).

cnf(refute_0_2001,plain,
    difference(c,product(product(a,c),c)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_2000]) ).

cnf(refute_0_2002,plain,
    product(difference(c,product(a,c)),c) = difference(c,product(product(a,c),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(a,c))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_2003,plain,
    ( difference(c,product(product(a,c),c)) != product(a,b)
    | product(difference(c,product(a,c)),c) != difference(c,product(product(a,c),c))
    | product(difference(c,product(a,c)),c) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(a,c)),c))),bind(Y,$fot(difference(c,product(product(a,c),c)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_2004,plain,
    ( difference(c,product(product(a,c),c)) != product(a,b)
    | product(difference(c,product(a,c)),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),c),difference(c,product(product(a,c),c))) )],[refute_0_2002,refute_0_2003]) ).

cnf(refute_0_2005,plain,
    product(difference(c,product(a,c)),c) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,c),c)),product(a,b)) )],[refute_0_2001,refute_0_2004]) ).

cnf(refute_0_2006,plain,
    quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),
    introduced(tautology,[refl,[$fot(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_2007,plain,
    ( product(difference(c,product(a,c)),c) != product(a,b)
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) != quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c))
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_2008,plain,
    ( product(difference(c,product(a,c)),c) != product(a,b)
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c))) )],[refute_0_2006,refute_0_2007]) ).

cnf(refute_0_2009,plain,
    quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),c),product(a,b)) )],[refute_0_2005,refute_0_2008]) ).

cnf(refute_0_2010,plain,
    quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_2011,plain,
    ( quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) != quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c))) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_2012,plain,
    ( quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c))) )],[refute_0_2010,refute_0_2011]) ).

cnf(refute_0_2013,plain,
    quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_2012]) ).

cnf(refute_0_2014,plain,
    ( quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) != quotient(difference(c,product(a,c)),product(a,b))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) != quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)))),bind(Y,$fot(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)))),bind(Z,$fot(quotient(difference(c,product(a,c)),product(a,b))))]]) ).

cnf(refute_0_2015,plain,
    ( quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) != quotient(difference(c,product(a,c)),product(a,b))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c))) )],[refute_0_2013,refute_0_2014]) ).

cnf(refute_0_2016,plain,
    quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) = quotient(difference(c,product(a,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),product(a,b))) )],[refute_0_2009,refute_0_2015]) ).

cnf(refute_0_2017,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) != quotient(difference(c,product(a,c)),product(a,b))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))) ),[0],$fot(quotient(difference(c,product(a,c)),product(a,b)))]]) ).

cnf(refute_0_2018,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),product(a,b))) )],[refute_0_2016,refute_0_2017]) ).

cnf(refute_0_2019,plain,
    difference(c,product(c,quotient(a,c))) = quotient(a,c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(a,c)))]]) ).

cnf(refute_0_2020,plain,
    ( difference(c,product(c,quotient(a,c))) != quotient(a,c)
    | product(c,quotient(a,c)) != difference(c,product(b,a))
    | difference(c,difference(c,product(b,a))) = quotient(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(a,c))),quotient(a,c)) ),[0,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_2021,plain,
    ( difference(c,product(c,quotient(a,c))) != quotient(a,c)
    | difference(c,difference(c,product(b,a))) = quotient(a,c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_2020]) ).

cnf(refute_0_2022,plain,
    difference(c,difference(c,product(b,a))) = quotient(a,c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(a,c))),quotient(a,c)) )],[refute_0_2019,refute_0_2021]) ).

cnf(refute_0_2023,plain,
    difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) = difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))))]]) ).

cnf(refute_0_2024,plain,
    ( difference(c,difference(c,product(b,a))) != quotient(a,c)
    | difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) != difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a))))
    | difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) = difference(difference(c,product(b,a)),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a))))) ),[1,1],$fot(quotient(a,c))]]) ).

cnf(refute_0_2025,plain,
    ( difference(c,difference(c,product(b,a))) != quotient(a,c)
    | difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) = difference(difference(c,product(b,a)),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a))))) )],[refute_0_2023,refute_0_2024]) ).

cnf(refute_0_2026,plain,
    difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) = difference(difference(c,product(b,a)),quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(c,product(b,a))),quotient(a,c)) )],[refute_0_2022,refute_0_2025]) ).

cnf(refute_0_2027,plain,
    product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) = product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c))]]) ).

cnf(refute_0_2028,plain,
    ( difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) != difference(difference(c,product(b,a)),quotient(a,c))
    | product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) != product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c)
    | product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c),product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c)) ),[1,0],$fot(difference(difference(c,product(b,a)),quotient(a,c)))]]) ).

cnf(refute_0_2029,plain,
    ( difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))) != difference(difference(c,product(b,a)),quotient(a,c))
    | product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c),product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c)) )],[refute_0_2027,refute_0_2028]) ).

cnf(refute_0_2030,plain,
    product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) = product(difference(difference(c,product(b,a)),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),difference(difference(c,product(b,a)),quotient(a,c))) )],[refute_0_2026,refute_0_2029]) ).

cnf(refute_0_2031,plain,
    quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) = product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)),
    inference(subst,[],[refute_0_521:[bind(X_16,$fot(quotient(X_107,X_15)))]]) ).

cnf(refute_0_2032,plain,
    quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) = product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(X_107)),bind(X_17,$fot(X_15))]]) ).

cnf(refute_0_2033,plain,
    ( quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) != product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))
    | product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)))),bind(Y,$fot(product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))))]]) ).

cnf(refute_0_2034,plain,
    product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)),product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))) )],[refute_0_2032,refute_0_2033]) ).

cnf(refute_0_2035,plain,
    ( product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) != quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))
    | quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) != product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))
    | quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))),product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))) ),[1],$fot(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)))]]) ).

cnf(refute_0_2036,plain,
    ( quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) != product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))
    | quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) ),
    inference(resolve,[$cnf( $equal(product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)),quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))) )],[refute_0_2034,refute_0_2035]) ).

cnf(refute_0_2037,plain,
    quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))),product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))) )],[refute_0_2031,refute_0_2036]) ).

cnf(refute_0_2038,plain,
    ( quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) != product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))
    | quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) != quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))
    | product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))),quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))) ),[0],$fot(product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)))]]) ).

cnf(refute_0_2039,plain,
    ( quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) != quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))
    | product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))),product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15))) )],[refute_0_2031,refute_0_2038]) ).

cnf(refute_0_2040,plain,
    bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(quotient(X_107,X_21))),bind(X_22,$fot(quotient(X_107,X_21)))]]) ).

cnf(refute_0_2041,plain,
    quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) = product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(X_107)),bind(X_17,$fot(X_21))]]) ).

cnf(refute_0_2042,plain,
    ( quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) != product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21))
    | product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)))),bind(Y,$fot(product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21))))]]) ).

cnf(refute_0_2043,plain,
    product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)),product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21))) )],[refute_0_2041,refute_0_2042]) ).

cnf(refute_0_2044,plain,
    ( bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) != product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21))
    | product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)) != quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))
    | bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)),quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))) ),[0],$fot(product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)))]]) ).

cnf(refute_0_2045,plain,
    ( bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) != product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21))
    | bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) ),
    inference(resolve,[$cnf( $equal(product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21)),quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))) )],[refute_0_2043,refute_0_2044]) ).

cnf(refute_0_2046,plain,
    bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)),
    inference(resolve,[$cnf( $equal(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)),product(product(X_21,quotient(X_107,X_21)),quotient(X_107,X_21))) )],[refute_0_2040,refute_0_2045]) ).

cnf(refute_0_2047,plain,
    difference(X_87,difference(product(quotient(A,X_87),X_87),X_87)) = product(X_87,quotient(quotient(A,X_87),X_87)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(X_87)),bind(X_27,$fot(quotient(A,X_87)))]]) ).

cnf(refute_0_2048,plain,
    product(quotient(A,X_87),X_87) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_87))]]) ).

cnf(refute_0_2049,plain,
    ( difference(X_87,difference(product(quotient(A,X_87),X_87),X_87)) != product(X_87,quotient(quotient(A,X_87),X_87))
    | product(quotient(A,X_87),X_87) != A
    | difference(X_87,difference(A,X_87)) = product(X_87,quotient(quotient(A,X_87),X_87)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_87,difference(product(quotient(A,X_87),X_87),X_87)),product(X_87,quotient(quotient(A,X_87),X_87))) ),[0,1,0],$fot(A)]]) ).

cnf(refute_0_2050,plain,
    ( difference(X_87,difference(product(quotient(A,X_87),X_87),X_87)) != product(X_87,quotient(quotient(A,X_87),X_87))
    | difference(X_87,difference(A,X_87)) = product(X_87,quotient(quotient(A,X_87),X_87)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_87),X_87),A) )],[refute_0_2048,refute_0_2049]) ).

cnf(refute_0_2051,plain,
    difference(X_87,difference(A,X_87)) = product(X_87,quotient(quotient(A,X_87),X_87)),
    inference(resolve,[$cnf( $equal(difference(X_87,difference(product(quotient(A,X_87),X_87),X_87)),product(X_87,quotient(quotient(A,X_87),X_87))) )],[refute_0_2047,refute_0_2050]) ).

cnf(refute_0_2052,plain,
    ( difference(X_87,difference(A,X_87)) != product(X_87,quotient(quotient(A,X_87),X_87))
    | product(X_87,quotient(quotient(A,X_87),X_87)) = difference(X_87,difference(A,X_87)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(X_87,difference(A,X_87)))),bind(Y,$fot(product(X_87,quotient(quotient(A,X_87),X_87))))]]) ).

cnf(refute_0_2053,plain,
    product(X_87,quotient(quotient(A,X_87),X_87)) = difference(X_87,difference(A,X_87)),
    inference(resolve,[$cnf( $equal(difference(X_87,difference(A,X_87)),product(X_87,quotient(quotient(A,X_87),X_87))) )],[refute_0_2051,refute_0_2052]) ).

cnf(refute_0_2054,plain,
    product(X_21,quotient(quotient(X_107,X_21),X_21)) = difference(X_21,difference(X_107,X_21)),
    inference(subst,[],[refute_0_2053:[bind(A,$fot(X_107)),bind(X_87,$fot(X_21))]]) ).

cnf(refute_0_2055,plain,
    product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) = product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107),
    introduced(tautology,[refl,[$fot(product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107))]]) ).

cnf(refute_0_2056,plain,
    ( product(X_21,quotient(quotient(X_107,X_21),X_21)) != difference(X_21,difference(X_107,X_21))
    | product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) != product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107)
    | product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) = product(difference(X_21,difference(X_107,X_21)),X_107) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107),product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107)) ),[1,0],$fot(difference(X_21,difference(X_107,X_21)))]]) ).

cnf(refute_0_2057,plain,
    ( product(X_21,quotient(quotient(X_107,X_21),X_21)) != difference(X_21,difference(X_107,X_21))
    | product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) = product(difference(X_21,difference(X_107,X_21)),X_107) ),
    inference(resolve,[$cnf( $equal(product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107),product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107)) )],[refute_0_2055,refute_0_2056]) ).

cnf(refute_0_2058,plain,
    product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) = product(difference(X_21,difference(X_107,X_21)),X_107),
    inference(resolve,[$cnf( $equal(product(X_21,quotient(quotient(X_107,X_21),X_21)),difference(X_21,difference(X_107,X_21))) )],[refute_0_2054,refute_0_2057]) ).

cnf(refute_0_2059,plain,
    bigC(X_21,X_22,quotient(A,X_21)) = bigC(X_21,quotient(A,X_21),X_22),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(quotient(A,X_21)))]]) ).

cnf(refute_0_2060,plain,
    ( bigC(X_21,X_22,quotient(A,X_21)) != bigC(X_21,quotient(A,X_21),X_22)
    | bigC(X_21,X_22,quotient(A,X_21)) != product(product(X_21,X_22),A)
    | bigC(X_21,quotient(A,X_21),X_22) = product(product(X_21,X_22),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,X_22,quotient(A,X_21)),product(product(X_21,X_22),A)) ),[0],$fot(bigC(X_21,quotient(A,X_21),X_22))]]) ).

cnf(refute_0_2061,plain,
    ( bigC(X_21,X_22,quotient(A,X_21)) != product(product(X_21,X_22),A)
    | bigC(X_21,quotient(A,X_21),X_22) = product(product(X_21,X_22),A) ),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,quotient(A,X_21)),bigC(X_21,quotient(A,X_21),X_22)) )],[refute_0_2059,refute_0_2060]) ).

cnf(refute_0_2062,plain,
    bigC(X_21,quotient(A,X_21),X_22) = product(product(X_21,X_22),A),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,quotient(A,X_21)),product(product(X_21,X_22),A)) )],[refute_0_356,refute_0_2061]) ).

cnf(refute_0_2063,plain,
    bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(X_107)),bind(X_22,$fot(quotient(quotient(X_107,X_21),X_21)))]]) ).

cnf(refute_0_2064,plain,
    ( bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) != product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107)
    | product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) != product(difference(X_21,difference(X_107,X_21)),X_107)
    | bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = product(difference(X_21,difference(X_107,X_21)),X_107) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)))),bind(Y,$fot(product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107))),bind(Z,$fot(product(difference(X_21,difference(X_107,X_21)),X_107)))]]) ).

cnf(refute_0_2065,plain,
    ( product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107) != product(difference(X_21,difference(X_107,X_21)),X_107)
    | bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = product(difference(X_21,difference(X_107,X_21)),X_107) ),
    inference(resolve,[$cnf( $equal(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)),product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107)) )],[refute_0_2063,refute_0_2064]) ).

cnf(refute_0_2066,plain,
    bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) = product(difference(X_21,difference(X_107,X_21)),X_107),
    inference(resolve,[$cnf( $equal(product(product(X_21,quotient(quotient(X_107,X_21),X_21)),X_107),product(difference(X_21,difference(X_107,X_21)),X_107)) )],[refute_0_2058,refute_0_2065]) ).

cnf(refute_0_2067,plain,
    ( bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) != product(difference(X_21,difference(X_107,X_21)),X_107)
    | bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) != quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))
    | product(difference(X_21,difference(X_107,X_21)),X_107) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)),quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))) ),[0],$fot(product(difference(X_21,difference(X_107,X_21)),X_107))]]) ).

cnf(refute_0_2068,plain,
    ( bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)) != quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))
    | product(difference(X_21,difference(X_107,X_21)),X_107) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) ),
    inference(resolve,[$cnf( $equal(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)),product(difference(X_21,difference(X_107,X_21)),X_107)) )],[refute_0_2066,refute_0_2067]) ).

cnf(refute_0_2069,plain,
    product(difference(X_21,difference(X_107,X_21)),X_107) = quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)),
    inference(resolve,[$cnf( $equal(bigC(X_21,quotient(X_107,X_21),quotient(quotient(X_107,X_21),X_21)),quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))) )],[refute_0_2046,refute_0_2068]) ).

cnf(refute_0_2070,plain,
    ( product(difference(X_21,difference(X_107,X_21)),X_107) != quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))
    | quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) = product(difference(X_21,difference(X_107,X_21)),X_107) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(difference(X_21,difference(X_107,X_21)),X_107))),bind(Y,$fot(quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))))]]) ).

cnf(refute_0_2071,plain,
    quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107)) = product(difference(X_21,difference(X_107,X_21)),X_107),
    inference(resolve,[$cnf( $equal(product(difference(X_21,difference(X_107,X_21)),X_107),quotient(quotient(X_107,X_21),product(quotient(X_107,X_21),X_107))) )],[refute_0_2069,refute_0_2070]) ).

cnf(refute_0_2072,plain,
    quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) = product(difference(X_15,difference(X_107,X_15)),X_107),
    inference(subst,[],[refute_0_2071:[bind(X_21,$fot(X_15))]]) ).

cnf(refute_0_2073,plain,
    ( product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) != quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))
    | quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)) != product(difference(X_15,difference(X_107,X_15)),X_107)
    | product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = product(difference(X_15,difference(X_107,X_15)),X_107) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)),product(difference(X_15,difference(X_107,X_15)),X_107)) ),[0],$fot(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)))]]) ).

cnf(refute_0_2074,plain,
    ( product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) != quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))
    | product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = product(difference(X_15,difference(X_107,X_15)),X_107) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107)),product(difference(X_15,difference(X_107,X_15)),X_107)) )],[refute_0_2072,refute_0_2073]) ).

cnf(refute_0_2075,plain,
    ( quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))) != quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))
    | product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = product(difference(X_15,difference(X_107,X_15)),X_107) ),
    inference(resolve,[$cnf( $equal(product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)),quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))) )],[refute_0_2039,refute_0_2074]) ).

cnf(refute_0_2076,plain,
    product(product(X_15,quotient(X_107,X_15)),quotient(X_107,X_15)) = product(difference(X_15,difference(X_107,X_15)),X_107),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),product(quotient(X_107,X_15),X_15))),quotient(quotient(X_107,X_15),product(quotient(X_107,X_15),X_107))) )],[refute_0_2037,refute_0_2075]) ).

cnf(refute_0_2077,plain,
    product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) = product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_2078,plain,
    ( product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) != product(difference(difference(c,product(b,a)),quotient(a,c)),c)
    | product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) != product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c)
    | product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))))),bind(Y,$fot(product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c))),bind(Z,$fot(product(difference(difference(c,product(b,a)),quotient(a,c)),c)))]]) ).

cnf(refute_0_2079,plain,
    ( product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c) != product(difference(difference(c,product(b,a)),quotient(a,c)),c)
    | product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))),product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c)) )],[refute_0_2077,refute_0_2078]) ).

cnf(refute_0_2080,plain,
    product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) = product(difference(difference(c,product(b,a)),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,a)),difference(c,difference(c,product(b,a)))),c),product(difference(difference(c,product(b,a)),quotient(a,c)),c)) )],[refute_0_2030,refute_0_2079]) ).

cnf(refute_0_2081,plain,
    ( product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))) != product(difference(difference(c,product(b,a)),quotient(a,c)),c)
    | quotient(difference(c,product(a,c)),product(a,b)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))) ),[1],$fot(product(difference(difference(c,product(b,a)),quotient(a,c)),c))]]) ).

cnf(refute_0_2082,plain,
    ( quotient(difference(c,product(a,c)),product(a,b)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a)))),product(difference(difference(c,product(b,a)),quotient(a,c)),c)) )],[refute_0_2080,refute_0_2081]) ).

cnf(refute_0_2083,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)) != product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(difference(difference(c,product(b,a)),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))) )],[refute_0_2018,refute_0_2082]) ).

cnf(refute_0_2084,plain,
    quotient(difference(c,product(a,c)),product(a,b)) = product(difference(difference(c,product(b,a)),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),product(difference(c,product(a,c)),c)),product(product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))),quotient(c,difference(c,product(b,a))))) )],[refute_0_1983,refute_0_2083]) ).

cnf(refute_0_2085,plain,
    quotient(product(quotient(c,b),c),c) = quotient(c,b),
    inference(subst,[],[sos03:[bind(A,$fot(quotient(c,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_2086,plain,
    difference(b,product(b,product(quotient(c,b),c))) = product(quotient(c,b),c),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(product(quotient(c,b),c)))]]) ).

cnf(refute_0_2087,plain,
    quotient(quotient(c,product(c,b)),product(quotient(c,product(c,b)),c)) = product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(product(c,b)))]]) ).

cnf(refute_0_2088,plain,
    quotient(bigC(b,a,c),product(c,b)) = product(b,a),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(b)),bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_2089,plain,
    ( bigC(b,a,c) != c
    | quotient(bigC(b,a,c),product(c,b)) != product(b,a)
    | quotient(c,product(c,b)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,c),product(c,b)),product(b,a)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_2090,plain,
    ( quotient(bigC(b,a,c),product(c,b)) != product(b,a)
    | quotient(c,product(c,b)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_2089]) ).

cnf(refute_0_2091,plain,
    quotient(c,product(c,b)) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,c),product(c,b)),product(b,a)) )],[refute_0_2088,refute_0_2090]) ).

cnf(refute_0_2092,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | quotient(quotient(c,product(c,b)),product(quotient(c,product(c,b)),c)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(quotient(c,product(c,b)),c)),product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))) ),[0,1,0],$fot(product(b,a))]]) ).

cnf(refute_0_2093,plain,
    ( quotient(quotient(c,product(c,b)),product(quotient(c,product(c,b)),c)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_2092]) ).

cnf(refute_0_2094,plain,
    quotient(quotient(c,product(c,b)),product(product(b,a),c)) = product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(quotient(c,product(c,b)),c)),product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))) )],[refute_0_2087,refute_0_2093]) ).

cnf(refute_0_2095,plain,
    quotient(product(b,a),difference(product(b,product(c,a)),product(b,a))) = product(b,product(c,a)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(b,a))),bind(X_6,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_2096,plain,
    difference(product(product(product(c,b),product(b,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(c,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(b,a)))]]) ).

cnf(refute_0_2097,plain,
    difference(product(c,b),product(product(c,b),product(product(c,b),product(b,a)))) = product(product(c,b),product(b,a)),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_2098,plain,
    difference(product(c,product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),quotient(c,product(c,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(c)),bind(X_20,$fot(product(c,b)))]]) ).

cnf(refute_0_2099,plain,
    ( difference(product(c,product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(c,product(c,b))))
    | quotient(c,product(c,b)) != product(b,a)
    | difference(product(c,product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(c,product(c,b))))) ),[1,1,1],$fot(product(b,a))]]) ).

cnf(refute_0_2100,plain,
    ( difference(product(c,product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(c,product(c,b))))
    | difference(product(c,product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_2099]) ).

cnf(refute_0_2101,plain,
    difference(product(c,product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(c,product(c,b))))) )],[refute_0_2098,refute_0_2100]) ).

cnf(refute_0_2102,plain,
    difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(c,b,b))) = bigC(c,b,b),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_2103,plain,
    difference(a,product(a,product(product(c,product(c,b)),bigC(c,b,b)))) = product(product(c,product(c,b)),bigC(c,b,b)),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(product(c,product(c,b)),bigC(c,b,b))))]]) ).

cnf(refute_0_2104,plain,
    product(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,b)),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(product(a,product(product(c,b),bigC(c,b,c)))))]]) ).

cnf(refute_0_2105,plain,
    quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = product(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(a,product(c,b))),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(a,bigC(c,b,c)))),bind(X_18,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_2106,plain,
    difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,c))) = product(product(a,c),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_2107,plain,
    bigC(product(a,c),product(a,c),product(a,b)) = product(product(product(a,c),product(a,c)),product(a,product(b,c))),
    inference(subst,[],[refute_0_369:[bind(X_42,$fot(product(a,c)))]]) ).

cnf(refute_0_2108,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(product(a,c),product(a,c)),product(a,product(b,c)))
    | product(product(a,c),product(a,c)) != product(a,c)
    | bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(product(product(a,c),product(a,c)),product(a,product(b,c)))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_2109,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(product(a,c),product(a,c)),product(a,product(b,c)))
    | bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,c)),product(a,c)) )],[refute_0_96,refute_0_2108]) ).

cnf(refute_0_2110,plain,
    bigC(product(a,c),product(a,c),product(a,b)) = product(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(product(product(a,c),product(a,c)),product(a,product(b,c)))) )],[refute_0_2107,refute_0_2109]) ).

cnf(refute_0_2111,plain,
    product(a,product(c,product(b,c))) = product(a,product(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(a,product(c,product(b,c))))]]) ).

cnf(refute_0_2112,plain,
    ( product(a,product(c,product(b,c))) != product(a,product(c,product(b,c)))
    | product(c,product(b,c)) != bigC(c,c,b)
    | product(a,product(c,product(b,c))) = product(a,bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,product(c,product(b,c)))) ),[1,1],$fot(bigC(c,c,b))]]) ).

cnf(refute_0_2113,plain,
    ( product(c,product(b,c)) != bigC(c,c,b)
    | product(a,product(c,product(b,c))) = product(a,bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,product(c,product(b,c)))) )],[refute_0_2111,refute_0_2112]) ).

cnf(refute_0_2114,plain,
    product(a,product(c,product(b,c))) = product(a,bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,c,b)) )],[refute_0_391,refute_0_2113]) ).

cnf(refute_0_2115,plain,
    product(product(a,a),product(c,product(b,c))) = product(product(a,a),product(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(c,product(b,c))))]]) ).

cnf(refute_0_2116,plain,
    ( product(a,a) != a
    | product(product(a,a),product(c,product(b,c))) != product(product(a,a),product(c,product(b,c)))
    | product(product(a,a),product(c,product(b,c))) = product(a,product(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(product(a,a),product(c,product(b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2117,plain,
    ( product(a,a) != a
    | product(product(a,a),product(c,product(b,c))) = product(a,product(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(product(a,a),product(c,product(b,c)))) )],[refute_0_2115,refute_0_2116]) ).

cnf(refute_0_2118,plain,
    product(product(a,a),product(c,product(b,c))) = product(a,product(c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2117]) ).

cnf(refute_0_2119,plain,
    ( product(a,product(c,product(b,c))) != product(a,bigC(c,c,b))
    | product(product(a,a),product(c,product(b,c))) != product(a,product(c,product(b,c)))
    | product(product(a,a),product(c,product(b,c))) = product(a,bigC(c,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(c,product(b,c))))),bind(Y,$fot(product(a,product(c,product(b,c))))),bind(Z,$fot(product(a,bigC(c,c,b))))]]) ).

cnf(refute_0_2120,plain,
    ( product(a,product(c,product(b,c))) != product(a,bigC(c,c,b))
    | product(product(a,a),product(c,product(b,c))) = product(a,bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(a,product(c,product(b,c)))) )],[refute_0_2118,refute_0_2119]) ).

cnf(refute_0_2121,plain,
    product(product(a,a),product(c,product(b,c))) = product(a,bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,product(b,c))),product(a,bigC(c,c,b))) )],[refute_0_2114,refute_0_2120]) ).

cnf(refute_0_2122,plain,
    product(product(a,c),product(a,product(b,c))) = product(product(a,a),product(c,product(b,c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_2123,plain,
    ( product(product(a,a),product(c,product(b,c))) != product(a,bigC(c,c,b))
    | product(product(a,c),product(a,product(b,c))) != product(product(a,a),product(c,product(b,c)))
    | product(product(a,c),product(a,product(b,c))) = product(a,bigC(c,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(a,product(b,c))))),bind(Y,$fot(product(product(a,a),product(c,product(b,c))))),bind(Z,$fot(product(a,bigC(c,c,b))))]]) ).

cnf(refute_0_2124,plain,
    ( product(product(a,a),product(c,product(b,c))) != product(a,bigC(c,c,b))
    | product(product(a,c),product(a,product(b,c))) = product(a,bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(b,c))),product(product(a,a),product(c,product(b,c)))) )],[refute_0_2122,refute_0_2123]) ).

cnf(refute_0_2125,plain,
    product(product(a,c),product(a,product(b,c))) = product(a,bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,product(b,c))),product(a,bigC(c,c,b))) )],[refute_0_2121,refute_0_2124]) ).

cnf(refute_0_2126,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(a,c),product(a,product(b,c)))
    | product(product(a,c),product(a,product(b,c))) != product(a,bigC(c,c,b))
    | bigC(product(a,c),product(a,c),product(a,b)) = product(a,bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,c),product(a,b)),product(a,bigC(c,c,b))) ),[0],$fot(product(product(a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_2127,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(product(a,c),product(a,product(b,c)))
    | bigC(product(a,c),product(a,c),product(a,b)) = product(a,bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,c,b))) )],[refute_0_2125,refute_0_2126]) ).

cnf(refute_0_2128,plain,
    bigC(product(a,c),product(a,c),product(a,b)) = product(a,bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(product(a,c),product(a,product(b,c)))) )],[refute_0_2110,refute_0_2127]) ).

cnf(refute_0_2129,plain,
    bigC(product(a,c),product(a,c),product(a,b)) = bigC(product(a,c),product(a,b),product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,b))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_2130,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != bigC(product(a,c),product(a,b),product(a,c))
    | bigC(product(a,c),product(a,c),product(a,b)) != product(a,bigC(c,c,b))
    | bigC(product(a,c),product(a,b),product(a,c)) = product(a,bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(a,bigC(c,c,b))) ),[0],$fot(bigC(product(a,c),product(a,b),product(a,c)))]]) ).

cnf(refute_0_2131,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(a,bigC(c,c,b))
    | bigC(product(a,c),product(a,b),product(a,c)) = product(a,bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,c))) )],[refute_0_2129,refute_0_2130]) ).

cnf(refute_0_2132,plain,
    product(a,bigC(c,c,b)) = product(a,bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(a,bigC(c,c,b)))]]) ).

cnf(refute_0_2133,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(a,bigC(c,c,b)) != product(a,bigC(c,c,b))
    | product(a,bigC(c,c,b)) = product(a,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,c,b)),product(a,bigC(c,c,b))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_2134,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(a,bigC(c,c,b)) = product(a,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,c,b)),product(a,bigC(c,c,b))) )],[refute_0_2132,refute_0_2133]) ).

cnf(refute_0_2135,plain,
    product(a,bigC(c,c,b)) = product(a,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_2134]) ).

cnf(refute_0_2136,plain,
    ( bigC(product(a,c),product(a,b),product(a,c)) != product(a,bigC(c,c,b))
    | product(a,bigC(c,c,b)) != product(a,bigC(c,b,c))
    | bigC(product(a,c),product(a,b),product(a,c)) = product(a,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,b),product(a,c)),product(a,bigC(c,b,c))) ),[0],$fot(product(a,bigC(c,c,b)))]]) ).

cnf(refute_0_2137,plain,
    ( bigC(product(a,c),product(a,b),product(a,c)) != product(a,bigC(c,c,b))
    | bigC(product(a,c),product(a,b),product(a,c)) = product(a,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,c,b)),product(a,bigC(c,b,c))) )],[refute_0_2135,refute_0_2136]) ).

cnf(refute_0_2138,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(a,bigC(c,c,b))
    | bigC(product(a,c),product(a,b),product(a,c)) = product(a,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(a,c)),product(a,bigC(c,c,b))) )],[refute_0_2131,refute_0_2137]) ).

cnf(refute_0_2139,plain,
    bigC(product(a,c),product(a,b),product(a,c)) = product(a,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(a,bigC(c,c,b))) )],[refute_0_2128,refute_0_2138]) ).

cnf(refute_0_2140,plain,
    ( bigC(product(a,c),product(a,b),product(a,c)) != product(a,bigC(c,b,c))
    | difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,c))) != product(product(a,c),product(a,c))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = product(product(a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,c))),product(product(a,c),product(a,c))) ),[0,1],$fot(product(a,bigC(c,b,c)))]]) ).

cnf(refute_0_2141,plain,
    ( difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,c))) != product(product(a,c),product(a,c))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = product(product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(a,c)),product(a,bigC(c,b,c))) )],[refute_0_2139,refute_0_2140]) ).

cnf(refute_0_2142,plain,
    difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = product(product(a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,c))),product(product(a,c),product(a,c))) )],[refute_0_2106,refute_0_2141]) ).

cnf(refute_0_2143,plain,
    difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))))]]) ).

cnf(refute_0_2144,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) != difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c)))
    | product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))),difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c)))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_2145,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))),difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c)))) )],[refute_0_2143,refute_0_2144]) ).

cnf(refute_0_2146,plain,
    difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_2145]) ).

cnf(refute_0_2147,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,c))) = product(product(a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))),product(product(a,c),product(a,c))) ),[0],$fot(difference(product(a,product(c,b)),product(a,bigC(c,b,c))))]]) ).

cnf(refute_0_2148,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,c))) = product(product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) )],[refute_0_2146,refute_0_2147]) ).

cnf(refute_0_2149,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(product(a,c),product(a,c))
    | product(product(a,c),product(a,c)) != product(a,c)
    | difference(product(a,product(c,b)),product(a,bigC(c,b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,c)) ),[0],$fot(product(product(a,c),product(a,c)))]]) ).

cnf(refute_0_2150,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,c)),product(a,c)) )],[refute_0_96,refute_0_2149]) ).

cnf(refute_0_2151,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))) != product(product(a,c),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(product(a,c),product(a,c))) )],[refute_0_2148,refute_0_2150]) ).

cnf(refute_0_2152,plain,
    difference(product(a,product(c,b)),product(a,bigC(c,b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,c))),product(product(a,c),product(a,c))) )],[refute_0_2142,refute_0_2151]) ).

cnf(refute_0_2153,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != product(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(a,product(c,b)))) ),[1,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_2154,plain,
    ( quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != product(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,c)) )],[refute_0_2152,refute_0_2153]) ).

cnf(refute_0_2155,plain,
    quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(a,product(c,b)))) )],[refute_0_2105,refute_0_2154]) ).

cnf(refute_0_2156,plain,
    product(product(a,a),product(product(c,b),bigC(c,b,c))) = product(product(a,a),product(product(c,b),bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(c,b),bigC(c,b,c))))]]) ).

cnf(refute_0_2157,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(c,b),bigC(c,b,c))) != product(product(a,a),product(product(c,b),bigC(c,b,c)))
    | product(product(a,a),product(product(c,b),bigC(c,b,c))) = product(a,product(product(c,b),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(c,b),bigC(c,b,c))),product(product(a,a),product(product(c,b),bigC(c,b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2158,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(c,b),bigC(c,b,c))) = product(a,product(product(c,b),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,b),bigC(c,b,c))),product(product(a,a),product(product(c,b),bigC(c,b,c)))) )],[refute_0_2156,refute_0_2157]) ).

cnf(refute_0_2159,plain,
    product(product(a,a),product(product(c,b),bigC(c,b,c))) = product(a,product(product(c,b),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2158]) ).

cnf(refute_0_2160,plain,
    quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))))]]) ).

cnf(refute_0_2161,plain,
    ( product(product(a,a),product(product(c,b),bigC(c,b,c))) != product(a,product(product(c,b),bigC(c,b,c)))
    | quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) != quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c))))
    | quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))),quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c))))) ),[1,1],$fot(product(a,product(product(c,b),bigC(c,b,c))))]]) ).

cnf(refute_0_2162,plain,
    ( product(product(a,a),product(product(c,b),bigC(c,b,c))) != product(a,product(product(c,b),bigC(c,b,c)))
    | quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))),quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c))))) )],[refute_0_2160,refute_0_2161]) ).

cnf(refute_0_2163,plain,
    quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(c,b),bigC(c,b,c))),product(a,product(product(c,b),bigC(c,b,c)))) )],[refute_0_2159,refute_0_2162]) ).

cnf(refute_0_2164,plain,
    quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) = product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(X_65,X_66))),bind(X_18,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_2165,plain,
    ( product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) != product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))
    | quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) = product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))),product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))) ),[0,1],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_2166,plain,
    ( quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) != product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))
    | quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) = product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_2165]) ).

cnf(refute_0_2167,plain,
    quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) = product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)),
    inference(resolve,[$cnf( $equal(quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))),product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))) )],[refute_0_2164,refute_0_2166]) ).

cnf(refute_0_2168,plain,
    ( quotient(X_18,product(X_18,B)) != product(product(difference(X_18,B),X_18),X_18)
    | product(product(difference(X_18,B),X_18),X_18) = quotient(X_18,product(X_18,B)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(X_18,product(X_18,B)))),bind(Y,$fot(product(product(difference(X_18,B),X_18),X_18)))]]) ).

cnf(refute_0_2169,plain,
    product(product(difference(X_18,B),X_18),X_18) = quotient(X_18,product(X_18,B)),
    inference(resolve,[$cnf( $equal(quotient(X_18,product(X_18,B)),product(product(difference(X_18,B),X_18),X_18)) )],[refute_0_753,refute_0_2168]) ).

cnf(refute_0_2170,plain,
    product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)) = quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))),
    inference(subst,[],[refute_0_2169:[bind(B,$fot(product(X_65,X_66))),bind(X_18,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_2171,plain,
    ( product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)) != quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66)))
    | quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) != product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))
    | quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) = quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))),product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))) ),[1],$fot(quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))))]]) ).

cnf(refute_0_2172,plain,
    ( quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) != product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))
    | quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) = quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64)),quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66)))) )],[refute_0_2170,refute_0_2171]) ).

cnf(refute_0_2173,plain,
    quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) = quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))),
    inference(resolve,[$cnf( $equal(quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))),product(product(difference(product(X_63,X_64),product(X_65,X_66)),product(X_63,X_64)),product(X_63,X_64))) )],[refute_0_2167,refute_0_2172]) ).

cnf(refute_0_2174,plain,
    ( quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) != quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66)))
    | quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) = quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))))),bind(Y,$fot(quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66)))))]]) ).

cnf(refute_0_2175,plain,
    quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66))) = quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))),
    inference(resolve,[$cnf( $equal(quotient(product(X_63,X_64),product(product(X_63,X_65),product(X_64,X_66))),quotient(product(X_63,X_64),product(product(X_63,X_64),product(X_65,X_66)))) )],[refute_0_2173,refute_0_2174]) ).

cnf(refute_0_2176,plain,
    quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))),
    inference(subst,[],[refute_0_2175:[bind(X_63,$fot(a)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(a)),bind(X_66,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_2177,plain,
    ( quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) != quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c))))
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c))))
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))))),bind(Y,$fot(quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))))),bind(Z,$fot(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c))))))]]) ).

cnf(refute_0_2178,plain,
    ( quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))) != quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c))))
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))),quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c))))) )],[refute_0_2176,refute_0_2177]) ).

cnf(refute_0_2179,plain,
    quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) = quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,a),product(product(c,b),bigC(c,b,c)))),quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c))))) )],[refute_0_2163,refute_0_2178]) ).

cnf(refute_0_2180,plain,
    ( quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c))))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) = product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))) ),[0],$fot(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))))]]) ).

cnf(refute_0_2181,plain,
    ( quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) = product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))),quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c))))) )],[refute_0_2179,refute_0_2180]) ).

cnf(refute_0_2182,plain,
    product(a,product(product(c,c),product(product(c,b),b))) = product(a,product(product(c,c),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(a,product(product(c,c),product(product(c,b),b))))]]) ).

cnf(refute_0_2183,plain,
    ( product(a,product(product(c,c),product(product(c,b),b))) != product(a,product(product(c,c),product(product(c,b),b)))
    | product(product(c,c),product(product(c,b),b)) != product(c,product(product(c,b),b))
    | product(a,product(product(c,c),product(product(c,b),b))) = product(a,product(c,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(c,c),product(product(c,b),b))),product(a,product(product(c,c),product(product(c,b),b)))) ),[1,1],$fot(product(c,product(product(c,b),b)))]]) ).

cnf(refute_0_2184,plain,
    ( product(product(c,c),product(product(c,b),b)) != product(c,product(product(c,b),b))
    | product(a,product(product(c,c),product(product(c,b),b))) = product(a,product(c,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,c),product(product(c,b),b))),product(a,product(product(c,c),product(product(c,b),b)))) )],[refute_0_2182,refute_0_2183]) ).

cnf(refute_0_2185,plain,
    product(a,product(product(c,c),product(product(c,b),b))) = product(a,product(c,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),b)),product(c,product(product(c,b),b))) )],[refute_0_1431,refute_0_2184]) ).

cnf(refute_0_2186,plain,
    product(product(X_22,X_22),product(X_22,X_22)) = product(X_22,X_22),
    inference(subst,[],[sos06:[bind(A,$fot(product(X_22,X_22)))]]) ).

cnf(refute_0_2187,plain,
    bigC(X_22,X_22,X_22) = product(product(X_22,X_22),product(X_22,X_22)),
    inference(subst,[],[sos08:[bind(A,$fot(X_22)),bind(B,$fot(X_22)),bind(C,$fot(X_22))]]) ).

cnf(refute_0_2188,plain,
    ( bigC(X_22,X_22,X_22) != product(product(X_22,X_22),product(X_22,X_22))
    | product(product(X_22,X_22),product(X_22,X_22)) = bigC(X_22,X_22,X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_22,X_22,X_22))),bind(Y,$fot(product(product(X_22,X_22),product(X_22,X_22))))]]) ).

cnf(refute_0_2189,plain,
    product(product(X_22,X_22),product(X_22,X_22)) = bigC(X_22,X_22,X_22),
    inference(resolve,[$cnf( $equal(bigC(X_22,X_22,X_22),product(product(X_22,X_22),product(X_22,X_22))) )],[refute_0_2187,refute_0_2188]) ).

cnf(refute_0_2190,plain,
    ( product(product(X_22,X_22),product(X_22,X_22)) != bigC(X_22,X_22,X_22)
    | product(product(X_22,X_22),product(X_22,X_22)) != product(X_22,X_22)
    | bigC(X_22,X_22,X_22) = product(X_22,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_22,X_22),product(X_22,X_22)),product(X_22,X_22)) ),[0],$fot(bigC(X_22,X_22,X_22))]]) ).

cnf(refute_0_2191,plain,
    ( product(product(X_22,X_22),product(X_22,X_22)) != product(X_22,X_22)
    | bigC(X_22,X_22,X_22) = product(X_22,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(X_22,X_22),product(X_22,X_22)),bigC(X_22,X_22,X_22)) )],[refute_0_2189,refute_0_2190]) ).

cnf(refute_0_2192,plain,
    bigC(X_22,X_22,X_22) = product(X_22,X_22),
    inference(resolve,[$cnf( $equal(product(product(X_22,X_22),product(X_22,X_22)),product(X_22,X_22)) )],[refute_0_2186,refute_0_2191]) ).

cnf(refute_0_2193,plain,
    ( bigC(X_22,X_22,X_22) != product(X_22,X_22)
    | product(X_22,X_22) != X_22
    | bigC(X_22,X_22,X_22) = X_22 ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(X_22,X_22,X_22),X_22) ),[0],$fot(product(X_22,X_22))]]) ).

cnf(refute_0_2194,plain,
    ( bigC(X_22,X_22,X_22) != product(X_22,X_22)
    | bigC(X_22,X_22,X_22) = X_22 ),
    inference(resolve,[$cnf( $equal(product(X_22,X_22),X_22) )],[refute_0_163,refute_0_2193]) ).

cnf(refute_0_2195,plain,
    bigC(X_22,X_22,X_22) = X_22,
    inference(resolve,[$cnf( $equal(bigC(X_22,X_22,X_22),product(X_22,X_22)) )],[refute_0_2192,refute_0_2194]) ).

cnf(refute_0_2196,plain,
    bigC(a,a,a) = a,
    inference(subst,[],[refute_0_2195:[bind(X_22,$fot(a))]]) ).

cnf(refute_0_2197,plain,
    product(product(a,a),a) = bigC(a,a,a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a)),bind(X_22,$fot(a))]]) ).

cnf(refute_0_2198,plain,
    ( bigC(a,a,a) != a
    | product(product(a,a),a) != bigC(a,a,a)
    | product(product(a,a),a) = a ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),a))),bind(Y,$fot(bigC(a,a,a))),bind(Z,$fot(a))]]) ).

cnf(refute_0_2199,plain,
    ( bigC(a,a,a) != a
    | product(product(a,a),a) = a ),
    inference(resolve,[$cnf( $equal(product(product(a,a),a),bigC(a,a,a)) )],[refute_0_2197,refute_0_2198]) ).

cnf(refute_0_2200,plain,
    product(product(a,a),a) = a,
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_2196,refute_0_2199]) ).

cnf(refute_0_2201,plain,
    product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))))]]) ).

cnf(refute_0_2202,plain,
    ( product(product(a,a),a) != a
    | product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) != product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))
    | product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(a,product(product(c,c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2203,plain,
    ( product(product(a,a),a) != a
    | product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(a,product(product(c,c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))) )],[refute_0_2201,refute_0_2202]) ).

cnf(refute_0_2204,plain,
    product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(a,product(product(c,c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(a,a),a),a) )],[refute_0_2200,refute_0_2203]) ).

cnf(refute_0_2205,plain,
    ( product(a,product(product(c,c),product(product(c,b),b))) != product(a,product(c,product(product(c,b),b)))
    | product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) != product(a,product(product(c,c),product(product(c,b),b)))
    | product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(a,product(c,product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))))),bind(Y,$fot(product(a,product(product(c,c),product(product(c,b),b))))),bind(Z,$fot(product(a,product(c,product(product(c,b),b)))))]]) ).

cnf(refute_0_2206,plain,
    ( product(a,product(product(c,c),product(product(c,b),b))) != product(a,product(c,product(product(c,b),b)))
    | product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(a,product(c,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),product(a,product(product(c,c),product(product(c,b),b)))) )],[refute_0_2204,refute_0_2205]) ).

cnf(refute_0_2207,plain,
    product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) = product(a,product(c,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,c),product(product(c,b),b))),product(a,product(c,product(product(c,b),b)))) )],[refute_0_2185,refute_0_2206]) ).

cnf(refute_0_2208,plain,
    product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) = product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),
    inference(subst,[],[refute_0_1192:[bind(A,$fot(product(a,a))),bind(C,$fot(a)),bind(X_63,$fot(c)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_2209,plain,
    product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(a,product(c,b)))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_2210,plain,
    ( product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))
    | product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))
    | product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))))),bind(Y,$fot(product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))))),bind(Z,$fot(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))))]]) ).

cnf(refute_0_2211,plain,
    ( product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))) != product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))
    | product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b)))) )],[refute_0_2209,refute_0_2210]) ).

cnf(refute_0_2212,plain,
    product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(c,product(c,b))),product(a,product(c,b))),product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))) )],[refute_0_2208,refute_0_2211]) ).

cnf(refute_0_2213,plain,
    ( product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) != product(a,product(c,product(product(c,b),b)))
    | product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))
    | product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(a,product(c,product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))))),bind(Y,$fot(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))))),bind(Z,$fot(product(a,product(c,product(product(c,b),b)))))]]) ).

cnf(refute_0_2214,plain,
    ( product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))) != product(a,product(c,product(product(c,b),b)))
    | product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(a,product(c,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(product(product(a,a),a),product(product(c,c),product(product(c,b),b)))) )],[refute_0_2212,refute_0_2213]) ).

cnf(refute_0_2215,plain,
    product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) = product(a,product(c,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),a),product(product(c,c),product(product(c,b),b))),product(a,product(c,product(product(c,b),b)))) )],[refute_0_2207,refute_0_2214]) ).

cnf(refute_0_2216,plain,
    ( product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))) != product(a,product(c,product(product(c,b),b)))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) != product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))) ),[1],$fot(product(a,product(c,product(product(c,b),b))))]]) ).

cnf(refute_0_2217,plain,
    ( quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) != product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b))),product(a,product(c,product(product(c,b),b)))) )],[refute_0_2215,refute_0_2216]) ).

cnf(refute_0_2218,plain,
    ( quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))) != product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))) )],[refute_0_2181,refute_0_2217]) ).

cnf(refute_0_2219,plain,
    quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(product(product(a,c),product(a,product(c,b))),product(a,product(c,b)))) )],[refute_0_2155,refute_0_2218]) ).

cnf(refute_0_2220,plain,
    ( product(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(c,b))
    | quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(c,product(product(c,b),b)))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(c,b))) ),[0,0],$fot(product(a,product(c,product(product(c,b),b))))]]) ).

cnf(refute_0_2221,plain,
    ( product(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(c,b))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(c,product(product(c,b),b)))) )],[refute_0_2219,refute_0_2220]) ).

cnf(refute_0_2222,plain,
    product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(c,b)),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(c,b))) )],[refute_0_2104,refute_0_2221]) ).

cnf(refute_0_2223,plain,
    bigC(c,b,product(b,b)) = bigC(c,b,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(c,b,product(b,b)))]]) ).

cnf(refute_0_2224,plain,
    ( bigC(c,b,product(b,b)) != bigC(c,b,product(b,b))
    | product(b,b) != b
    | bigC(c,b,product(b,b)) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,product(b,b)),bigC(c,b,product(b,b))) ),[1,2],$fot(b)]]) ).

cnf(refute_0_2225,plain,
    ( product(b,b) != b
    | bigC(c,b,product(b,b)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,b)),bigC(c,b,product(b,b))) )],[refute_0_2223,refute_0_2224]) ).

cnf(refute_0_2226,plain,
    bigC(c,b,product(b,b)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_2225]) ).

cnf(refute_0_2227,plain,
    bigC(product(c,c),b,product(b,b)) = bigC(product(c,c),b,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(product(c,c),b,product(b,b)))]]) ).

cnf(refute_0_2228,plain,
    ( bigC(product(c,c),b,product(b,b)) != bigC(product(c,c),b,product(b,b))
    | product(c,c) != c
    | bigC(product(c,c),b,product(b,b)) = bigC(c,b,product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,c),b,product(b,b)),bigC(product(c,c),b,product(b,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2229,plain,
    ( product(c,c) != c
    | bigC(product(c,c),b,product(b,b)) = bigC(c,b,product(b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(b,b)),bigC(product(c,c),b,product(b,b))) )],[refute_0_2227,refute_0_2228]) ).

cnf(refute_0_2230,plain,
    bigC(product(c,c),b,product(b,b)) = bigC(c,b,product(b,b)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_2229]) ).

cnf(refute_0_2231,plain,
    ( bigC(c,b,product(b,b)) != bigC(c,b,b)
    | bigC(product(c,c),b,product(b,b)) != bigC(c,b,product(b,b))
    | bigC(product(c,c),b,product(b,b)) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,c),b,product(b,b)))),bind(Y,$fot(bigC(c,b,product(b,b)))),bind(Z,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_2232,plain,
    ( bigC(c,b,product(b,b)) != bigC(c,b,b)
    | bigC(product(c,c),b,product(b,b)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(b,b)),bigC(c,b,product(b,b))) )],[refute_0_2230,refute_0_2231]) ).

cnf(refute_0_2233,plain,
    bigC(product(c,c),b,product(b,b)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,b)),bigC(c,b,b)) )],[refute_0_2226,refute_0_2232]) ).

cnf(refute_0_2234,plain,
    bigC(product(c,c),product(b,b),b) = bigC(product(c,c),b,product(b,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,c))),bind(B,$fot(b)),bind(C,$fot(product(b,b)))]]) ).

cnf(refute_0_2235,plain,
    product(product(product(c,b),b),bigC(c,b,c)) = bigC(product(c,c),product(b,b),b),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(b)),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_2236,plain,
    ( bigC(product(c,c),product(b,b),b) != bigC(product(c,c),b,product(b,b))
    | product(product(product(c,b),b),bigC(c,b,c)) != bigC(product(c,c),product(b,b),b)
    | product(product(product(c,b),b),bigC(c,b,c)) = bigC(product(c,c),b,product(b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),bigC(c,b,c)))),bind(Y,$fot(bigC(product(c,c),product(b,b),b))),bind(Z,$fot(bigC(product(c,c),b,product(b,b))))]]) ).

cnf(refute_0_2237,plain,
    ( bigC(product(c,c),product(b,b),b) != bigC(product(c,c),b,product(b,b))
    | product(product(product(c,b),b),bigC(c,b,c)) = bigC(product(c,c),b,product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(c,b,c)),bigC(product(c,c),product(b,b),b)) )],[refute_0_2235,refute_0_2236]) ).

cnf(refute_0_2238,plain,
    product(product(product(c,b),b),bigC(c,b,c)) = bigC(product(c,c),b,product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),product(b,b),b),bigC(product(c,c),b,product(b,b))) )],[refute_0_2234,refute_0_2237]) ).

cnf(refute_0_2239,plain,
    ( bigC(product(c,c),b,product(b,b)) != bigC(c,b,b)
    | product(product(product(c,b),b),bigC(c,b,c)) != bigC(product(c,c),b,product(b,b))
    | product(product(product(c,b),b),bigC(c,b,c)) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),bigC(c,b,c)))),bind(Y,$fot(bigC(product(c,c),b,product(b,b)))),bind(Z,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_2240,plain,
    ( bigC(product(c,c),b,product(b,b)) != bigC(c,b,b)
    | product(product(product(c,b),b),bigC(c,b,c)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(c,b,c)),bigC(product(c,c),b,product(b,b))) )],[refute_0_2238,refute_0_2239]) ).

cnf(refute_0_2241,plain,
    product(product(product(c,b),b),bigC(c,b,c)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(b,b)),bigC(c,b,b)) )],[refute_0_2233,refute_0_2240]) ).

cnf(refute_0_2242,plain,
    product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) = product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))]]) ).

cnf(refute_0_2243,plain,
    ( product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) != product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))
    | product(product(product(c,b),b),bigC(c,b,c)) != bigC(c,b,b)
    | product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) = product(product(c,product(c,b)),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))),product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_2244,plain,
    ( product(product(product(c,b),b),bigC(c,b,c)) != bigC(c,b,b)
    | product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) = product(product(c,product(c,b)),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))),product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) )],[refute_0_2242,refute_0_2243]) ).

cnf(refute_0_2245,plain,
    product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) = product(product(c,product(c,b)),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(c,b,c)),bigC(c,b,b)) )],[refute_0_2241,refute_0_2244]) ).

cnf(refute_0_2246,plain,
    product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))),
    introduced(tautology,[refl,[$fot(product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))))]]) ).

cnf(refute_0_2247,plain,
    ( product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))
    | product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) != product(product(c,product(c,b)),bigC(c,b,b))
    | product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),bigC(c,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))),product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))) ),[1,1],$fot(product(product(c,product(c,b)),bigC(c,b,b)))]]) ).

cnf(refute_0_2248,plain,
    ( product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))) != product(product(c,product(c,b)),bigC(c,b,b))
    | product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))),product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))) )],[refute_0_2246,refute_0_2247]) ).

cnf(refute_0_2249,plain,
    product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))),product(product(c,product(c,b)),bigC(c,b,b))) )],[refute_0_2245,refute_0_2248]) ).

cnf(refute_0_2250,plain,
    product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(a)),bind(X_63,$fot(c)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(product(product(c,b),b))),bind(X_66,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_2251,plain,
    product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c)))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(product(c,product(product(c,b),b)))),bind(X_66,$fot(product(product(c,b),bigC(c,b,c))))]]) ).

cnf(refute_0_2252,plain,
    ( product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c))))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))))),bind(Y,$fot(product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c)))))),bind(Z,$fot(product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))))]]) ).

cnf(refute_0_2253,plain,
    ( product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c))))) )],[refute_0_2251,refute_0_2252]) ).

cnf(refute_0_2254,plain,
    product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(product(c,b),b)),product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))) )],[refute_0_2250,refute_0_2253]) ).

cnf(refute_0_2255,plain,
    ( product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),bigC(c,b,b)))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))))),bind(Y,$fot(product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))))),bind(Z,$fot(product(a,product(product(c,product(c,b)),bigC(c,b,b)))))]]) ).

cnf(refute_0_2256,plain,
    ( product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),bigC(c,b,b)))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c))))) )],[refute_0_2254,refute_0_2255]) ).

cnf(refute_0_2257,plain,
    product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) = product(a,product(product(c,product(c,b)),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(c,b)),product(product(product(c,b),b),bigC(c,b,c)))),product(a,product(product(c,product(c,b)),bigC(c,b,b)))) )],[refute_0_2249,refute_0_2256]) ).

cnf(refute_0_2258,plain,
    ( product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(c,b))
    | product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(product(c,product(c,b)),bigC(c,b,b)))
    | product(a,product(product(c,product(c,b)),bigC(c,b,b))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(c,b))) ),[0],$fot(product(a,product(product(c,product(c,b)),bigC(c,b,b))))]]) ).

cnf(refute_0_2259,plain,
    ( product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))) != product(a,product(c,b))
    | product(a,product(product(c,product(c,b)),bigC(c,b,b))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(product(c,product(c,b)),bigC(c,b,b)))) )],[refute_0_2257,refute_0_2258]) ).

cnf(refute_0_2260,plain,
    product(a,product(product(c,product(c,b)),bigC(c,b,b))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,product(product(c,b),b))),product(a,product(product(c,b),bigC(c,b,c)))),product(a,product(c,b))) )],[refute_0_2222,refute_0_2259]) ).

cnf(refute_0_2261,plain,
    ( difference(a,product(a,product(product(c,product(c,b)),bigC(c,b,b)))) != product(product(c,product(c,b)),bigC(c,b,b))
    | product(a,product(product(c,product(c,b)),bigC(c,b,b))) != product(a,product(c,b))
    | difference(a,product(a,product(c,b))) = product(product(c,product(c,b)),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(c,product(c,b)),bigC(c,b,b)))),product(product(c,product(c,b)),bigC(c,b,b))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_2262,plain,
    ( difference(a,product(a,product(product(c,product(c,b)),bigC(c,b,b)))) != product(product(c,product(c,b)),bigC(c,b,b))
    | difference(a,product(a,product(c,b))) = product(product(c,product(c,b)),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(a,product(c,b))) )],[refute_0_2260,refute_0_2261]) ).

cnf(refute_0_2263,plain,
    difference(a,product(a,product(c,b))) = product(product(c,product(c,b)),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(c,product(c,b)),bigC(c,b,b)))),product(product(c,product(c,b)),bigC(c,b,b))) )],[refute_0_2103,refute_0_2262]) ).

cnf(refute_0_2264,plain,
    difference(a,product(a,product(c,b))) = product(c,b),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_2265,plain,
    ( difference(a,product(a,product(c,b))) != product(c,b)
    | difference(a,product(a,product(c,b))) != product(product(c,product(c,b)),bigC(c,b,b))
    | product(c,b) = product(product(c,product(c,b)),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(c,b))),product(product(c,product(c,b)),bigC(c,b,b))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_2266,plain,
    ( difference(a,product(a,product(c,b))) != product(product(c,product(c,b)),bigC(c,b,b))
    | product(c,b) = product(product(c,product(c,b)),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(c,b))),product(c,b)) )],[refute_0_2264,refute_0_2265]) ).

cnf(refute_0_2267,plain,
    product(c,b) = product(product(c,product(c,b)),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(c,b))),product(product(c,product(c,b)),bigC(c,b,b))) )],[refute_0_2263,refute_0_2266]) ).

cnf(refute_0_2268,plain,
    ( product(c,b) != product(product(c,product(c,b)),bigC(c,b,b))
    | product(product(c,product(c,b)),bigC(c,b,b)) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(product(c,product(c,b)),bigC(c,b,b))))]]) ).

cnf(refute_0_2269,plain,
    product(product(c,product(c,b)),bigC(c,b,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(c,product(c,b)),bigC(c,b,b))) )],[refute_0_2267,refute_0_2268]) ).

cnf(refute_0_2270,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(c,b,b))) != bigC(c,b,b)
    | product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | difference(product(c,product(c,b)),product(c,b)) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(c,b,b))),bigC(c,b,b)) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_2271,plain,
    ( difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(c,b,b))) != bigC(c,b,b)
    | difference(product(c,product(c,b)),product(c,b)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,b)),product(c,b)) )],[refute_0_2269,refute_0_2270]) ).

cnf(refute_0_2272,plain,
    difference(product(c,product(c,b)),product(c,b)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(product(c,product(c,b)),bigC(c,b,b))),bigC(c,b,b)) )],[refute_0_2102,refute_0_2271]) ).

cnf(refute_0_2273,plain,
    ( difference(product(c,product(c,b)),product(c,b)) != bigC(c,b,b)
    | difference(product(c,product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,a)))
    | bigC(c,b,b) = product(product(c,b),product(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(b,a)))) ),[0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_2274,plain,
    ( difference(product(c,product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,a)))
    | bigC(c,b,b) = product(product(c,b),product(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),bigC(c,b,b)) )],[refute_0_2272,refute_0_2273]) ).

cnf(refute_0_2275,plain,
    bigC(c,b,b) = product(product(c,b),product(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(b,a)))) )],[refute_0_2101,refute_0_2274]) ).

cnf(refute_0_2276,plain,
    ( bigC(c,b,b) != product(product(c,b),product(product(c,b),product(b,a)))
    | product(product(c,b),product(product(c,b),product(b,a))) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,b))),bind(Y,$fot(product(product(c,b),product(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_2277,plain,
    product(product(c,b),product(product(c,b),product(b,a))) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),product(product(c,b),product(product(c,b),product(b,a)))) )],[refute_0_2275,refute_0_2276]) ).

cnf(refute_0_2278,plain,
    ( difference(product(c,b),product(product(c,b),product(product(c,b),product(b,a)))) != product(product(c,b),product(b,a))
    | product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | difference(product(c,b),bigC(c,b,b)) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(product(c,b),product(b,a)))),product(product(c,b),product(b,a))) ),[0,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_2279,plain,
    ( difference(product(c,b),product(product(c,b),product(product(c,b),product(b,a)))) != product(product(c,b),product(b,a))
    | difference(product(c,b),bigC(c,b,b)) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_2278]) ).

cnf(refute_0_2280,plain,
    difference(product(c,b),bigC(c,b,b)) = product(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(product(c,b),product(b,a)))),product(product(c,b),product(b,a))) )],[refute_0_2097,refute_0_2279]) ).

cnf(refute_0_2281,plain,
    bigC(X_21,X_22,X_23) = bigC(X_21,X_23,X_22),
    inference(subst,[],[refute_0_12:[bind(A,$fot(X_21)),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_2282,plain,
    ( bigC(X_21,X_22,X_23) != bigC(X_21,X_23,X_22)
    | difference(product(X_21,X_22),bigC(X_21,X_22,X_23)) != product(X_23,X_21)
    | difference(product(X_21,X_22),bigC(X_21,X_23,X_22)) = product(X_23,X_21) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_21,X_22),bigC(X_21,X_22,X_23)),product(X_23,X_21)) ),[0,1],$fot(bigC(X_21,X_23,X_22))]]) ).

cnf(refute_0_2283,plain,
    ( difference(product(X_21,X_22),bigC(X_21,X_22,X_23)) != product(X_23,X_21)
    | difference(product(X_21,X_22),bigC(X_21,X_23,X_22)) = product(X_23,X_21) ),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,X_23),bigC(X_21,X_23,X_22)) )],[refute_0_2281,refute_0_2282]) ).

cnf(refute_0_2284,plain,
    difference(product(X_21,X_22),bigC(X_21,X_23,X_22)) = product(X_23,X_21),
    inference(resolve,[$cnf( $equal(difference(product(X_21,X_22),bigC(X_21,X_22,X_23)),product(X_23,X_21)) )],[refute_0_89,refute_0_2283]) ).

cnf(refute_0_2285,plain,
    difference(product(c,b),bigC(c,b,b)) = product(b,c),
    inference(subst,[],[refute_0_2284:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_2286,plain,
    ( difference(product(c,b),bigC(c,b,b)) != product(b,c)
    | difference(product(c,b),bigC(c,b,b)) != product(product(c,b),product(b,a))
    | product(b,c) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,b,b)),product(product(c,b),product(b,a))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_2287,plain,
    ( difference(product(c,b),bigC(c,b,b)) != product(product(c,b),product(b,a))
    | product(b,c) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,b)),product(b,c)) )],[refute_0_2285,refute_0_2286]) ).

cnf(refute_0_2288,plain,
    product(b,c) = product(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,b)),product(product(c,b),product(b,a))) )],[refute_0_2280,refute_0_2287]) ).

cnf(refute_0_2289,plain,
    ( product(b,c) != product(product(c,b),product(b,a))
    | product(product(c,b),product(b,a)) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_2290,plain,
    product(product(c,b),product(b,a)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),product(product(c,b),product(b,a))) )],[refute_0_2288,refute_0_2289]) ).

cnf(refute_0_2291,plain,
    ( difference(product(product(product(c,b),product(b,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(product(b,c),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,b),product(b,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(c,b)))) ),[0,0,0],$fot(product(b,c))]]) ).

cnf(refute_0_2292,plain,
    ( difference(product(product(product(c,b),product(b,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | difference(product(product(b,c),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_2291]) ).

cnf(refute_0_2293,plain,
    difference(product(product(b,c),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,b),product(b,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(c,b)))) )],[refute_0_2096,refute_0_2292]) ).

cnf(refute_0_2294,plain,
    product(product(b,b),product(c,a)) = product(product(b,b),product(c,a)),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(c,a)))]]) ).

cnf(refute_0_2295,plain,
    ( product(b,b) != b
    | product(product(b,b),product(c,a)) != product(product(b,b),product(c,a))
    | product(product(b,b),product(c,a)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(c,a)),product(product(b,b),product(c,a))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_2296,plain,
    ( product(b,b) != b
    | product(product(b,b),product(c,a)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,a)),product(product(b,b),product(c,a))) )],[refute_0_2294,refute_0_2295]) ).

cnf(refute_0_2297,plain,
    product(product(b,b),product(c,a)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_2296]) ).

cnf(refute_0_2298,plain,
    difference(product(product(b,b),product(c,a)),product(b,a)) = difference(product(product(b,b),product(c,a)),product(b,a)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,b),product(c,a)),product(b,a)))]]) ).

cnf(refute_0_2299,plain,
    ( difference(product(product(b,b),product(c,a)),product(b,a)) != difference(product(product(b,b),product(c,a)),product(b,a))
    | product(product(b,b),product(c,a)) != product(b,product(c,a))
    | difference(product(product(b,b),product(c,a)),product(b,a)) = difference(product(b,product(c,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,b),product(c,a)),product(b,a)),difference(product(product(b,b),product(c,a)),product(b,a))) ),[1,0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_2300,plain,
    ( product(product(b,b),product(c,a)) != product(b,product(c,a))
    | difference(product(product(b,b),product(c,a)),product(b,a)) = difference(product(b,product(c,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,b),product(c,a)),product(b,a)),difference(product(product(b,b),product(c,a)),product(b,a))) )],[refute_0_2298,refute_0_2299]) ).

cnf(refute_0_2301,plain,
    difference(product(product(b,b),product(c,a)),product(b,a)) = difference(product(b,product(c,a)),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,a)),product(b,product(c,a))) )],[refute_0_2297,refute_0_2300]) ).

cnf(refute_0_2302,plain,
    difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(X_63,X_64))),bind(X_20,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_2303,plain,
    ( difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) != product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))
    | product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)),product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))) ),[0,0],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_2304,plain,
    ( difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) != product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))
    | difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_2303]) ).

cnf(refute_0_2305,plain,
    difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))),
    inference(resolve,[$cnf( $equal(difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)),product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))) )],[refute_0_2302,refute_0_2304]) ).

cnf(refute_0_2306,plain,
    product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))) = difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(product(X_63,X_64))),bind(X_20,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_2307,plain,
    ( difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) != product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))
    | product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))) != difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66))
    | difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) = difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)),difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66))) ),[0],$fot(product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))))]]) ).

cnf(refute_0_2308,plain,
    ( difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) != product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))
    | difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) = difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66)))),difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66))) )],[refute_0_2306,refute_0_2307]) ).

cnf(refute_0_2309,plain,
    difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) = difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)),product(product(X_65,X_66),product(product(X_65,X_66),quotient(product(X_63,X_64),product(X_65,X_66))))) )],[refute_0_2305,refute_0_2308]) ).

cnf(refute_0_2310,plain,
    ( difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) != difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66))
    | difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) = difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)))),bind(Y,$fot(difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66))))]]) ).

cnf(refute_0_2311,plain,
    difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66)) = difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_63,X_65),product(X_64,X_66)),product(X_65,X_66)),difference(product(product(X_63,X_64),product(X_65,X_66)),product(X_65,X_66))) )],[refute_0_2309,refute_0_2310]) ).

cnf(refute_0_2312,plain,
    difference(product(product(b,c),product(b,a)),product(b,a)) = difference(product(product(b,b),product(c,a)),product(b,a)),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_2313,plain,
    ( difference(product(product(b,b),product(c,a)),product(b,a)) != difference(product(b,product(c,a)),product(b,a))
    | difference(product(product(b,c),product(b,a)),product(b,a)) != difference(product(product(b,b),product(c,a)),product(b,a))
    | difference(product(product(b,c),product(b,a)),product(b,a)) = difference(product(b,product(c,a)),product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,c),product(b,a)),product(b,a)))),bind(Y,$fot(difference(product(product(b,b),product(c,a)),product(b,a)))),bind(Z,$fot(difference(product(b,product(c,a)),product(b,a))))]]) ).

cnf(refute_0_2314,plain,
    ( difference(product(product(b,b),product(c,a)),product(b,a)) != difference(product(b,product(c,a)),product(b,a))
    | difference(product(product(b,c),product(b,a)),product(b,a)) = difference(product(b,product(c,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(b,a)),product(b,a)),difference(product(product(b,b),product(c,a)),product(b,a))) )],[refute_0_2312,refute_0_2313]) ).

cnf(refute_0_2315,plain,
    difference(product(product(b,c),product(b,a)),product(b,a)) = difference(product(b,product(c,a)),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,b),product(c,a)),product(b,a)),difference(product(b,product(c,a)),product(b,a))) )],[refute_0_2301,refute_0_2314]) ).

cnf(refute_0_2316,plain,
    ( difference(product(product(b,c),product(b,a)),product(b,a)) != difference(product(b,product(c,a)),product(b,a))
    | difference(product(product(b,c),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | difference(product(b,product(c,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(c,b)))) ),[0],$fot(difference(product(b,product(c,a)),product(b,a)))]]) ).

cnf(refute_0_2317,plain,
    ( difference(product(product(b,c),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | difference(product(b,product(c,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(b,a)),product(b,a)),difference(product(b,product(c,a)),product(b,a))) )],[refute_0_2315,refute_0_2316]) ).

cnf(refute_0_2318,plain,
    ( bigC(b,a,c) != c
    | product(product(b,a),product(c,b)) != bigC(b,a,c)
    | product(product(b,a),product(c,b)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(c,b)))),bind(Y,$fot(bigC(b,a,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_2319,plain,
    ( bigC(b,a,c) != c
    | product(product(b,a),product(c,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),bigC(b,a,c)) )],[refute_0_132,refute_0_2318]) ).

cnf(refute_0_2320,plain,
    product(product(b,a),product(c,b)) = c,
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_2319]) ).

cnf(refute_0_2321,plain,
    product(product(b,a),product(product(b,a),product(c,b))) = product(product(b,a),product(product(b,a),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(product(b,a),product(c,b))))]]) ).

cnf(refute_0_2322,plain,
    ( product(product(b,a),product(c,b)) != c
    | product(product(b,a),product(product(b,a),product(c,b))) != product(product(b,a),product(product(b,a),product(c,b)))
    | product(product(b,a),product(product(b,a),product(c,b))) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(product(b,a),product(c,b))),product(product(b,a),product(product(b,a),product(c,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2323,plain,
    ( product(product(b,a),product(c,b)) != c
    | product(product(b,a),product(product(b,a),product(c,b))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(c,b))),product(product(b,a),product(product(b,a),product(c,b)))) )],[refute_0_2321,refute_0_2322]) ).

cnf(refute_0_2324,plain,
    product(product(b,a),product(product(b,a),product(c,b))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),c) )],[refute_0_2320,refute_0_2323]) ).

cnf(refute_0_2325,plain,
    ( difference(product(b,product(c,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | product(product(b,a),product(product(b,a),product(c,b))) != product(product(b,a),c)
    | difference(product(b,product(c,a)),product(b,a)) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,product(c,a)),product(b,a)),product(product(b,a),c)) ),[0],$fot(product(product(b,a),product(product(b,a),product(c,b))))]]) ).

cnf(refute_0_2326,plain,
    ( difference(product(b,product(c,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | difference(product(b,product(c,a)),product(b,a)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(c,b))),product(product(b,a),c)) )],[refute_0_2324,refute_0_2325]) ).

cnf(refute_0_2327,plain,
    ( difference(product(product(b,c),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(c,b)))
    | difference(product(b,product(c,a)),product(b,a)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),product(b,a)),product(product(b,a),product(product(b,a),product(c,b)))) )],[refute_0_2317,refute_0_2326]) ).

cnf(refute_0_2328,plain,
    difference(product(b,product(c,a)),product(b,a)) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(c,b)))) )],[refute_0_2293,refute_0_2327]) ).

cnf(refute_0_2329,plain,
    ( difference(product(b,product(c,a)),product(b,a)) != product(product(b,a),c)
    | quotient(product(b,a),difference(product(b,product(c,a)),product(b,a))) != product(b,product(c,a))
    | quotient(product(b,a),product(product(b,a),c)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),difference(product(b,product(c,a)),product(b,a))),product(b,product(c,a))) ),[0,1],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_2330,plain,
    ( quotient(product(b,a),difference(product(b,product(c,a)),product(b,a))) != product(b,product(c,a))
    | quotient(product(b,a),product(product(b,a),c)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),product(b,a)),product(product(b,a),c)) )],[refute_0_2328,refute_0_2329]) ).

cnf(refute_0_2331,plain,
    quotient(product(b,a),product(product(b,a),c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),difference(product(b,product(c,a)),product(b,a))),product(b,product(c,a))) )],[refute_0_2095,refute_0_2330]) ).

cnf(refute_0_2332,plain,
    quotient(product(b,a),product(product(b,a),c)) = quotient(product(b,a),product(product(b,a),c)),
    introduced(tautology,[refl,[$fot(quotient(product(b,a),product(product(b,a),c)))]]) ).

cnf(refute_0_2333,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | quotient(product(b,a),product(product(b,a),c)) != quotient(product(b,a),product(product(b,a),c))
    | quotient(product(b,a),product(product(b,a),c)) = quotient(product(b,a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),product(product(b,a),c)),quotient(product(b,a),product(product(b,a),c))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_2334,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | quotient(product(b,a),product(product(b,a),c)) = quotient(product(b,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),c)),quotient(product(b,a),product(product(b,a),c))) )],[refute_0_2332,refute_0_2333]) ).

cnf(refute_0_2335,plain,
    quotient(product(b,a),product(product(b,a),c)) = quotient(product(b,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_2334]) ).

cnf(refute_0_2336,plain,
    ( quotient(product(b,a),product(product(b,a),c)) != product(b,product(c,a))
    | quotient(product(b,a),product(product(b,a),c)) != quotient(product(b,a),product(c,product(c,a)))
    | quotient(product(b,a),product(c,product(c,a))) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),product(product(b,a),c)),product(b,product(c,a))) ),[0],$fot(quotient(product(b,a),product(c,product(c,a))))]]) ).

cnf(refute_0_2337,plain,
    ( quotient(product(b,a),product(product(b,a),c)) != product(b,product(c,a))
    | quotient(product(b,a),product(c,product(c,a))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),c)),quotient(product(b,a),product(c,product(c,a)))) )],[refute_0_2335,refute_0_2336]) ).

cnf(refute_0_2338,plain,
    quotient(product(b,a),product(c,product(c,a))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),c)),product(b,product(c,a))) )],[refute_0_2331,refute_0_2337]) ).

cnf(refute_0_2339,plain,
    quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(quotient(c,product(c,b)),product(product(b,a),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,product(c,b)),product(product(b,a),c)))]]) ).

cnf(refute_0_2340,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) != quotient(quotient(c,product(c,b)),product(product(b,a),c))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(product(b,a),product(product(b,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),quotient(quotient(c,product(c,b)),product(product(b,a),c))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_2341,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(product(b,a),product(product(b,a),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),quotient(quotient(c,product(c,b)),product(product(b,a),c))) )],[refute_0_2339,refute_0_2340]) ).

cnf(refute_0_2342,plain,
    quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(product(b,a),product(product(b,a),c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_2341]) ).

cnf(refute_0_2343,plain,
    ( quotient(product(b,a),product(product(b,a),c)) != quotient(product(b,a),product(c,product(c,a)))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) != quotient(product(b,a),product(product(b,a),c))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(product(b,a),product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(c,b)),product(product(b,a),c)))),bind(Y,$fot(quotient(product(b,a),product(product(b,a),c)))),bind(Z,$fot(quotient(product(b,a),product(c,product(c,a)))))]]) ).

cnf(refute_0_2344,plain,
    ( quotient(product(b,a),product(product(b,a),c)) != quotient(product(b,a),product(c,product(c,a)))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(product(b,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),quotient(product(b,a),product(product(b,a),c))) )],[refute_0_2342,refute_0_2343]) ).

cnf(refute_0_2345,plain,
    quotient(quotient(c,product(c,b)),product(product(b,a),c)) = quotient(product(b,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),c)),quotient(product(b,a),product(c,product(c,a)))) )],[refute_0_2335,refute_0_2344]) ).

cnf(refute_0_2346,plain,
    ( quotient(product(b,a),product(c,product(c,a))) != product(b,product(c,a))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) != quotient(product(b,a),product(c,product(c,a)))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(c,b)),product(product(b,a),c)))),bind(Y,$fot(quotient(product(b,a),product(c,product(c,a))))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_2347,plain,
    ( quotient(product(b,a),product(c,product(c,a))) != product(b,product(c,a))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),quotient(product(b,a),product(c,product(c,a)))) )],[refute_0_2345,refute_0_2346]) ).

cnf(refute_0_2348,plain,
    quotient(quotient(c,product(c,b)),product(product(b,a),c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,product(c,a))),product(b,product(c,a))) )],[refute_0_2338,refute_0_2347]) ).

cnf(refute_0_2349,plain,
    ( quotient(quotient(c,product(c,b)),product(product(b,a),c)) != product(b,product(c,a))
    | quotient(quotient(c,product(c,b)),product(product(b,a),c)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | product(b,product(c,a)) = product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))) ),[0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_2350,plain,
    ( quotient(quotient(c,product(c,b)),product(product(b,a),c)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | product(b,product(c,a)) = product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),product(b,product(c,a))) )],[refute_0_2348,refute_0_2349]) ).

cnf(refute_0_2351,plain,
    difference(product(X_31,difference(X_32,X_31)),product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))) = product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)),
    inference(subst,[],[sos01:[bind(A,$fot(product(X_31,difference(X_32,X_31)))),bind(B,$fot(product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))))]]) ).

cnf(refute_0_2352,plain,
    product(product(product(X_15,difference(X_15,B)),difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))) = difference(X_15,B),
    inference(subst,[],[sos07:[bind(A,$fot(X_15)),bind(B,$fot(difference(X_15,B)))]]) ).

cnf(refute_0_2353,plain,
    product(X_15,difference(X_15,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_15))]]) ).

cnf(refute_0_2354,plain,
    ( product(X_15,difference(X_15,B)) != B
    | product(product(product(X_15,difference(X_15,B)),difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))) != difference(X_15,B)
    | product(product(B,difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))) = difference(X_15,B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_15,difference(X_15,B)),difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))),difference(X_15,B)) ),[0,0,0],$fot(B)]]) ).

cnf(refute_0_2355,plain,
    ( product(product(product(X_15,difference(X_15,B)),difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))) != difference(X_15,B)
    | product(product(B,difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))) = difference(X_15,B) ),
    inference(resolve,[$cnf( $equal(product(X_15,difference(X_15,B)),B) )],[refute_0_2353,refute_0_2354]) ).

cnf(refute_0_2356,plain,
    product(product(B,difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))) = difference(X_15,B),
    inference(resolve,[$cnf( $equal(product(product(product(X_15,difference(X_15,B)),difference(X_15,B)),product(difference(X_15,B),product(difference(X_15,B),X_15))),difference(X_15,B)) )],[refute_0_2352,refute_0_2355]) ).

cnf(refute_0_2357,plain,
    product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) = difference(X_32,X_31),
    inference(subst,[],[refute_0_2356:[bind(B,$fot(X_31)),bind(X_15,$fot(X_32))]]) ).

cnf(refute_0_2358,plain,
    ( difference(product(X_31,difference(X_32,X_31)),product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))) != product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))
    | product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) != difference(X_32,X_31)
    | difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) = product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_31,difference(X_32,X_31)),product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) ),[0,1],$fot(difference(X_32,X_31))]]) ).

cnf(refute_0_2359,plain,
    ( difference(product(X_31,difference(X_32,X_31)),product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))) != product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))
    | difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) = product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) ),
    inference(resolve,[$cnf( $equal(product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))),difference(X_32,X_31)) )],[refute_0_2357,refute_0_2358]) ).

cnf(refute_0_2360,plain,
    difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) = product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)),
    inference(resolve,[$cnf( $equal(difference(product(X_31,difference(X_32,X_31)),product(product(X_31,difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) )],[refute_0_2351,refute_0_2359]) ).

cnf(refute_0_2361,plain,
    product(difference(X_32,X_31),X_32) = difference(X_32,product(X_31,X_32)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(X_31)),bind(X_74,$fot(X_32))]]) ).

cnf(refute_0_2362,plain,
    product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) = product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)),
    introduced(tautology,[refl,[$fot(product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))]]) ).

cnf(refute_0_2363,plain,
    ( product(difference(X_32,X_31),X_32) != difference(X_32,product(X_31,X_32))
    | product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) != product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))
    | product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) = product(difference(X_32,X_31),difference(X_32,product(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) ),[1,1],$fot(difference(X_32,product(X_31,X_32)))]]) ).

cnf(refute_0_2364,plain,
    ( product(difference(X_32,X_31),X_32) != difference(X_32,product(X_31,X_32))
    | product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) = product(difference(X_32,X_31),difference(X_32,product(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) )],[refute_0_2362,refute_0_2363]) ).

cnf(refute_0_2365,plain,
    product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) = product(difference(X_32,X_31),difference(X_32,product(X_31,X_32))),
    inference(resolve,[$cnf( $equal(product(difference(X_32,X_31),X_32),difference(X_32,product(X_31,X_32))) )],[refute_0_2361,refute_0_2364]) ).

cnf(refute_0_2366,plain,
    ( difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) != product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))
    | product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)) != product(difference(X_32,X_31),difference(X_32,product(X_31,X_32)))
    | difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) = product(difference(X_32,X_31),difference(X_32,product(X_31,X_32))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)),product(difference(X_32,X_31),difference(X_32,product(X_31,X_32)))) ),[0],$fot(product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)))]]) ).

cnf(refute_0_2367,plain,
    ( difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) != product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))
    | difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) = product(difference(X_32,X_31),difference(X_32,product(X_31,X_32))) ),
    inference(resolve,[$cnf( $equal(product(difference(X_32,X_31),product(difference(X_32,X_31),X_32)),product(difference(X_32,X_31),difference(X_32,product(X_31,X_32)))) )],[refute_0_2365,refute_0_2366]) ).

cnf(refute_0_2368,plain,
    difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)) = product(difference(X_32,X_31),difference(X_32,product(X_31,X_32))),
    inference(resolve,[$cnf( $equal(difference(product(X_31,difference(X_32,X_31)),difference(X_32,X_31)),product(difference(X_32,X_31),product(difference(X_32,X_31),X_32))) )],[refute_0_2360,refute_0_2367]) ).

cnf(refute_0_2369,plain,
    difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),difference(X_99,difference(product(X_27,X_99),X_99))) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(difference(product(X_27,X_99),X_99))),bind(X_32,$fot(X_99))]]) ).

cnf(refute_0_2370,plain,
    difference(X_99,difference(product(X_27,X_99),X_99)) = product(X_99,quotient(X_27,X_99)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(X_99))]]) ).

cnf(refute_0_2371,plain,
    ( difference(X_99,difference(product(X_27,X_99),X_99)) != product(X_99,quotient(X_27,X_99))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),difference(X_99,difference(product(X_27,X_99),X_99))) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),difference(X_99,difference(product(X_27,X_99),X_99))),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) ),[0,1],$fot(product(X_99,quotient(X_27,X_99)))]]) ).

cnf(refute_0_2372,plain,
    ( difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),difference(X_99,difference(product(X_27,X_99),X_99))) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),
    inference(resolve,[$cnf( $equal(difference(X_99,difference(product(X_27,X_99),X_99)),product(X_99,quotient(X_27,X_99))) )],[refute_0_2370,refute_0_2371]) ).

cnf(refute_0_2373,plain,
    difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),difference(X_99,difference(product(X_27,X_99),X_99))),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) )],[refute_0_2369,refute_0_2372]) ).

cnf(refute_0_2374,plain,
    product(X_99,product(X_99,quotient(X_27,X_99))) = difference(product(X_27,X_99),X_99),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(X_27)),bind(X_20,$fot(X_99))]]) ).

cnf(refute_0_2375,plain,
    product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) = product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27),
    introduced(tautology,[refl,[$fot(product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27))]]) ).

cnf(refute_0_2376,plain,
    ( product(X_99,product(X_99,quotient(X_27,X_99))) != difference(product(X_27,X_99),X_99)
    | product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) != product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27)
    | product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) = product(difference(product(X_27,X_99),X_99),X_27) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27),product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27)) ),[1,0],$fot(difference(product(X_27,X_99),X_99))]]) ).

cnf(refute_0_2377,plain,
    ( product(X_99,product(X_99,quotient(X_27,X_99))) != difference(product(X_27,X_99),X_99)
    | product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(resolve,[$cnf( $equal(product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27),product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27)) )],[refute_0_2375,refute_0_2376]) ).

cnf(refute_0_2378,plain,
    product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) = product(difference(product(X_27,X_99),X_99),X_27),
    inference(resolve,[$cnf( $equal(product(X_99,product(X_99,quotient(X_27,X_99))),difference(product(X_27,X_99),X_99)) )],[refute_0_2374,refute_0_2377]) ).

cnf(refute_0_2379,plain,
    bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) = product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(X_27)),bind(X_21,$fot(X_99)),bind(X_22,$fot(product(X_99,quotient(X_27,X_99))))]]) ).

cnf(refute_0_2380,plain,
    ( bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) != product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27)
    | product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) != product(difference(product(X_27,X_99),X_99),X_27)
    | bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))))),bind(Y,$fot(product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27))),bind(Z,$fot(product(difference(product(X_27,X_99),X_99),X_27)))]]) ).

cnf(refute_0_2381,plain,
    ( product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27) != product(difference(product(X_27,X_99),X_99),X_27)
    | bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(resolve,[$cnf( $equal(bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))),product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27)) )],[refute_0_2379,refute_0_2380]) ).

cnf(refute_0_2382,plain,
    bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27),
    inference(resolve,[$cnf( $equal(product(product(X_99,product(X_99,quotient(X_27,X_99))),X_27),product(difference(product(X_27,X_99),X_99),X_27)) )],[refute_0_2378,refute_0_2381]) ).

cnf(refute_0_2383,plain,
    difference(product(X_50,product(product(X_50,X_51),X_51)),product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51)))) = bigC(X_50,X_51,product(X_50,X_51)),
    inference(subst,[],[sos01:[bind(A,$fot(product(X_50,product(product(X_50,X_51),X_51)))),bind(B,$fot(bigC(X_50,X_51,product(X_50,X_51))))]]) ).

cnf(refute_0_2384,plain,
    product(product(product(A,product(A,X_22)),product(A,X_22)),product(product(A,X_22),product(product(A,X_22),A))) = product(A,X_22),
    inference(subst,[],[sos07:[bind(B,$fot(product(A,X_22)))]]) ).

cnf(refute_0_2385,plain,
    bigC(A,X_22,product(A,X_22)) = product(product(A,X_22),product(product(A,X_22),A)),
    inference(subst,[],[sos08:[bind(B,$fot(X_22)),bind(C,$fot(product(A,X_22)))]]) ).

cnf(refute_0_2386,plain,
    ( bigC(A,X_22,product(A,X_22)) != product(product(A,X_22),product(product(A,X_22),A))
    | product(product(A,X_22),product(product(A,X_22),A)) = bigC(A,X_22,product(A,X_22)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(A,X_22,product(A,X_22)))),bind(Y,$fot(product(product(A,X_22),product(product(A,X_22),A))))]]) ).

cnf(refute_0_2387,plain,
    product(product(A,X_22),product(product(A,X_22),A)) = bigC(A,X_22,product(A,X_22)),
    inference(resolve,[$cnf( $equal(bigC(A,X_22,product(A,X_22)),product(product(A,X_22),product(product(A,X_22),A))) )],[refute_0_2385,refute_0_2386]) ).

cnf(refute_0_2388,plain,
    ( product(product(A,X_22),product(product(A,X_22),A)) != bigC(A,X_22,product(A,X_22))
    | product(product(product(A,product(A,X_22)),product(A,X_22)),product(product(A,X_22),product(product(A,X_22),A))) != product(A,X_22)
    | product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(A,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),product(product(A,X_22),product(product(A,X_22),A))),product(A,X_22)) ),[0,1],$fot(bigC(A,X_22,product(A,X_22)))]]) ).

cnf(refute_0_2389,plain,
    ( product(product(product(A,product(A,X_22)),product(A,X_22)),product(product(A,X_22),product(product(A,X_22),A))) != product(A,X_22)
    | product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(A,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(A,X_22),product(product(A,X_22),A)),bigC(A,X_22,product(A,X_22))) )],[refute_0_2387,refute_0_2388]) ).

cnf(refute_0_2390,plain,
    product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(A,X_22),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),product(product(A,X_22),product(product(A,X_22),A))),product(A,X_22)) )],[refute_0_2384,refute_0_2389]) ).

cnf(refute_0_2391,plain,
    product(product(A,A),product(product(A,X_22),X_22)) = product(product(A,A),product(product(A,X_22),X_22)),
    introduced(tautology,[refl,[$fot(product(product(A,A),product(product(A,X_22),X_22)))]]) ).

cnf(refute_0_2392,plain,
    ( product(A,A) != A
    | product(product(A,A),product(product(A,X_22),X_22)) != product(product(A,A),product(product(A,X_22),X_22))
    | product(product(A,A),product(product(A,X_22),X_22)) = product(A,product(product(A,X_22),X_22)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,A),product(product(A,X_22),X_22)),product(product(A,A),product(product(A,X_22),X_22))) ),[1,0],$fot(A)]]) ).

cnf(refute_0_2393,plain,
    ( product(A,A) != A
    | product(product(A,A),product(product(A,X_22),X_22)) = product(A,product(product(A,X_22),X_22)) ),
    inference(resolve,[$cnf( $equal(product(product(A,A),product(product(A,X_22),X_22)),product(product(A,A),product(product(A,X_22),X_22))) )],[refute_0_2391,refute_0_2392]) ).

cnf(refute_0_2394,plain,
    product(product(A,A),product(product(A,X_22),X_22)) = product(A,product(product(A,X_22),X_22)),
    inference(resolve,[$cnf( $equal(product(A,A),A) )],[sos06,refute_0_2393]) ).

cnf(refute_0_2395,plain,
    product(product(A,product(A,X_22)),product(A,X_22)) = product(product(A,A),product(product(A,X_22),X_22)),
    inference(subst,[],[refute_0_35:[bind(B,$fot(A)),bind(C,$fot(product(A,X_22))),bind(D,$fot(X_22))]]) ).

cnf(refute_0_2396,plain,
    ( product(product(A,A),product(product(A,X_22),X_22)) != product(A,product(product(A,X_22),X_22))
    | product(product(A,product(A,X_22)),product(A,X_22)) != product(product(A,A),product(product(A,X_22),X_22))
    | product(product(A,product(A,X_22)),product(A,X_22)) = product(A,product(product(A,X_22),X_22)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(A,product(A,X_22)),product(A,X_22)))),bind(Y,$fot(product(product(A,A),product(product(A,X_22),X_22)))),bind(Z,$fot(product(A,product(product(A,X_22),X_22))))]]) ).

cnf(refute_0_2397,plain,
    ( product(product(A,A),product(product(A,X_22),X_22)) != product(A,product(product(A,X_22),X_22))
    | product(product(A,product(A,X_22)),product(A,X_22)) = product(A,product(product(A,X_22),X_22)) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(A,X_22)),product(A,X_22)),product(product(A,A),product(product(A,X_22),X_22))) )],[refute_0_2395,refute_0_2396]) ).

cnf(refute_0_2398,plain,
    product(product(A,product(A,X_22)),product(A,X_22)) = product(A,product(product(A,X_22),X_22)),
    inference(resolve,[$cnf( $equal(product(product(A,A),product(product(A,X_22),X_22)),product(A,product(product(A,X_22),X_22))) )],[refute_0_2394,refute_0_2397]) ).

cnf(refute_0_2399,plain,
    product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))),
    introduced(tautology,[refl,[$fot(product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))))]]) ).

cnf(refute_0_2400,plain,
    ( product(product(A,product(A,X_22)),product(A,X_22)) != product(A,product(product(A,X_22),X_22))
    | product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) != product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22)))
    | product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))),product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22)))) ),[1,0],$fot(product(A,product(product(A,X_22),X_22)))]]) ).

cnf(refute_0_2401,plain,
    ( product(product(A,product(A,X_22)),product(A,X_22)) != product(A,product(product(A,X_22),X_22))
    | product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))),product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22)))) )],[refute_0_2399,refute_0_2400]) ).

cnf(refute_0_2402,plain,
    product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) = product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))),
    inference(resolve,[$cnf( $equal(product(product(A,product(A,X_22)),product(A,X_22)),product(A,product(product(A,X_22),X_22))) )],[refute_0_2398,refute_0_2401]) ).

cnf(refute_0_2403,plain,
    ( product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) != product(A,X_22)
    | product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) != product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22)))
    | product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))) = product(A,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))),product(A,X_22)) ),[0],$fot(product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))))]]) ).

cnf(refute_0_2404,plain,
    ( product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))) != product(A,X_22)
    | product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))) = product(A,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))),product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22)))) )],[refute_0_2402,refute_0_2403]) ).

cnf(refute_0_2405,plain,
    product(product(A,product(product(A,X_22),X_22)),bigC(A,X_22,product(A,X_22))) = product(A,X_22),
    inference(resolve,[$cnf( $equal(product(product(product(A,product(A,X_22)),product(A,X_22)),bigC(A,X_22,product(A,X_22))),product(A,X_22)) )],[refute_0_2390,refute_0_2404]) ).

cnf(refute_0_2406,plain,
    product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51))) = product(X_50,X_51),
    inference(subst,[],[refute_0_2405:[bind(A,$fot(X_50)),bind(X_22,$fot(X_51))]]) ).

cnf(refute_0_2407,plain,
    ( difference(product(X_50,product(product(X_50,X_51),X_51)),product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51)))) != bigC(X_50,X_51,product(X_50,X_51))
    | product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51))) != product(X_50,X_51)
    | difference(product(X_50,product(product(X_50,X_51),X_51)),product(X_50,X_51)) = bigC(X_50,X_51,product(X_50,X_51)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_50,product(product(X_50,X_51),X_51)),product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51)))),bigC(X_50,X_51,product(X_50,X_51))) ),[0,1],$fot(product(X_50,X_51))]]) ).

cnf(refute_0_2408,plain,
    ( difference(product(X_50,product(product(X_50,X_51),X_51)),product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51)))) != bigC(X_50,X_51,product(X_50,X_51))
    | difference(product(X_50,product(product(X_50,X_51),X_51)),product(X_50,X_51)) = bigC(X_50,X_51,product(X_50,X_51)) ),
    inference(resolve,[$cnf( $equal(product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51))),product(X_50,X_51)) )],[refute_0_2406,refute_0_2407]) ).

cnf(refute_0_2409,plain,
    difference(product(X_50,product(product(X_50,X_51),X_51)),product(X_50,X_51)) = bigC(X_50,X_51,product(X_50,X_51)),
    inference(resolve,[$cnf( $equal(difference(product(X_50,product(product(X_50,X_51),X_51)),product(product(X_50,product(product(X_50,X_51),X_51)),bigC(X_50,X_51,product(X_50,X_51)))),bigC(X_50,X_51,product(X_50,X_51))) )],[refute_0_2383,refute_0_2408]) ).

cnf(refute_0_2410,plain,
    difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) = bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))),
    inference(subst,[],[refute_0_2409:[bind(X_50,$fot(X_99)),bind(X_51,$fot(quotient(X_27,X_99)))]]) ).

cnf(refute_0_2411,plain,
    ( bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) != product(difference(product(X_27,X_99),X_99),X_27)
    | difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) != bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99)))
    | difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))))),bind(Y,$fot(bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))))),bind(Z,$fot(product(difference(product(X_27,X_99),X_99),X_27)))]]) ).

cnf(refute_0_2412,plain,
    ( bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))) != product(difference(product(X_27,X_99),X_99),X_27)
    | difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(resolve,[$cnf( $equal(difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))),bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99)))) )],[refute_0_2410,refute_0_2411]) ).

cnf(refute_0_2413,plain,
    difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27),
    inference(resolve,[$cnf( $equal(bigC(X_99,quotient(X_27,X_99),product(X_99,quotient(X_27,X_99))),product(difference(product(X_27,X_99),X_99),X_27)) )],[refute_0_2382,refute_0_2412]) ).

cnf(refute_0_2414,plain,
    quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15))),
    inference(subst,[],[refute_0_521:[bind(X_16,$fot(product(X_15,quotient(X_27,X_15))))]]) ).

cnf(refute_0_2415,plain,
    difference(product(X_27,X_15),X_15) = product(X_15,product(X_15,quotient(X_27,X_15))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(X_27)),bind(X_20,$fot(X_15))]]) ).

cnf(refute_0_2416,plain,
    ( difference(product(X_27,X_15),X_15) != product(X_15,product(X_15,quotient(X_27,X_15)))
    | product(X_15,product(X_15,quotient(X_27,X_15))) = difference(product(X_27,X_15),X_15) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(X_27,X_15),X_15))),bind(Y,$fot(product(X_15,product(X_15,quotient(X_27,X_15)))))]]) ).

cnf(refute_0_2417,plain,
    product(X_15,product(X_15,quotient(X_27,X_15))) = difference(product(X_27,X_15),X_15),
    inference(resolve,[$cnf( $equal(difference(product(X_27,X_15),X_15),product(X_15,product(X_15,quotient(X_27,X_15)))) )],[refute_0_2415,refute_0_2416]) ).

cnf(refute_0_2418,plain,
    ( product(X_15,product(X_15,quotient(X_27,X_15))) != difference(product(X_27,X_15),X_15)
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15)))) ),[1,0],$fot(difference(product(X_27,X_15),X_15))]]) ).

cnf(refute_0_2419,plain,
    ( quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))) ),
    inference(resolve,[$cnf( $equal(product(X_15,product(X_15,quotient(X_27,X_15))),difference(product(X_27,X_15),X_15)) )],[refute_0_2417,refute_0_2418]) ).

cnf(refute_0_2420,plain,
    quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))),
    inference(resolve,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15)))) )],[refute_0_2414,refute_0_2419]) ).

cnf(refute_0_2421,plain,
    product(X_15,X_15) = X_15,
    inference(subst,[],[sos06:[bind(A,$fot(X_15))]]) ).

cnf(refute_0_2422,plain,
    product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),
    introduced(tautology,[refl,[$fot(product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))))]]) ).

cnf(refute_0_2423,plain,
    ( product(X_15,X_15) != X_15
    | product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) != product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))) ),[1,0],$fot(X_15)]]) ).

cnf(refute_0_2424,plain,
    ( product(X_15,X_15) != X_15
    | product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    inference(resolve,[$cnf( $equal(product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))) )],[refute_0_2422,refute_0_2423]) ).

cnf(refute_0_2425,plain,
    product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),
    inference(resolve,[$cnf( $equal(product(X_15,X_15),X_15) )],[refute_0_2421,refute_0_2424]) ).

cnf(refute_0_2426,plain,
    product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15))) = product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(X_15)),bind(B,$fot(X_15)),bind(C,$fot(product(X_15,quotient(X_27,X_15)))),bind(D,$fot(quotient(X_27,X_15)))]]) ).

cnf(refute_0_2427,plain,
    ( product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15))) != product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))))),bind(Y,$fot(product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15))))),bind(Z,$fot(product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))))]]) ).

cnf(refute_0_2428,plain,
    ( product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15))) != product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15)))) )],[refute_0_2414,refute_0_2427]) ).

cnf(refute_0_2429,plain,
    quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),
    inference(resolve,[$cnf( $equal(product(product(X_15,product(X_15,quotient(X_27,X_15))),product(X_15,quotient(X_27,X_15))),product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))) )],[refute_0_2426,refute_0_2428]) ).

cnf(refute_0_2430,plain,
    ( product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) != product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))))),bind(Y,$fot(product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))))),bind(Z,$fot(product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))))]]) ).

cnf(refute_0_2431,plain,
    ( product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) != product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))) )],[refute_0_2429,refute_0_2430]) ).

cnf(refute_0_2432,plain,
    quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),
    inference(resolve,[$cnf( $equal(product(product(X_15,X_15),product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))) )],[refute_0_2425,refute_0_2431]) ).

cnf(refute_0_2433,plain,
    ( quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))
    | quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))
    | product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))) ),[0],$fot(product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))))]]) ).

cnf(refute_0_2434,plain,
    ( quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))) != product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))
    | product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))) ),
    inference(resolve,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15)))) )],[refute_0_2432,refute_0_2433]) ).

cnf(refute_0_2435,plain,
    product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) = product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))),
    inference(resolve,[$cnf( $equal(quotient(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),product(product(X_15,quotient(X_27,X_15)),X_15))),product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))) )],[refute_0_2420,refute_0_2434]) ).

cnf(refute_0_2436,plain,
    ( product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) != product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))
    | product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))))),bind(Y,$fot(product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))))]]) ).

cnf(refute_0_2437,plain,
    product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15))) = product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),
    inference(resolve,[$cnf( $equal(product(X_15,product(product(X_15,quotient(X_27,X_15)),quotient(X_27,X_15))),product(difference(product(X_27,X_15),X_15),product(X_15,quotient(X_27,X_15)))) )],[refute_0_2435,refute_0_2436]) ).

cnf(refute_0_2438,plain,
    product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))) = product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),
    inference(subst,[],[refute_0_2437:[bind(X_15,$fot(X_99))]]) ).

cnf(refute_0_2439,plain,
    product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),
    introduced(tautology,[refl,[$fot(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))))]]) ).

cnf(refute_0_2440,plain,
    ( difference(X_99,difference(product(X_27,X_99),X_99)) != product(X_99,quotient(X_27,X_99))
    | product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) != product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99)))
    | product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99)))) ),[1,1],$fot(product(X_99,quotient(X_27,X_99)))]]) ).

cnf(refute_0_2441,plain,
    ( difference(X_99,difference(product(X_27,X_99),X_99)) != product(X_99,quotient(X_27,X_99))
    | product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99)))) )],[refute_0_2439,refute_0_2440]) ).

cnf(refute_0_2442,plain,
    product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))),
    inference(resolve,[$cnf( $equal(difference(X_99,difference(product(X_27,X_99),X_99)),product(X_99,quotient(X_27,X_99))) )],[refute_0_2370,refute_0_2441]) ).

cnf(refute_0_2443,plain,
    ( product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) != product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99)))
    | product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))) != product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))
    | product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))))),bind(Y,$fot(product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))))),bind(Z,$fot(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))))]]) ).

cnf(refute_0_2444,plain,
    ( product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))) != product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))
    | product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99)))) )],[refute_0_2442,refute_0_2443]) ).

cnf(refute_0_2445,plain,
    product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) = product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),
    inference(resolve,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),product(X_99,quotient(X_27,X_99))),product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))) )],[refute_0_2438,refute_0_2444]) ).

cnf(refute_0_2446,plain,
    difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),
    introduced(tautology,[refl,[$fot(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))))]]) ).

cnf(refute_0_2447,plain,
    ( difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) != difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99)))
    | product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) != product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99)))) ),[1,0],$fot(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))))]]) ).

cnf(refute_0_2448,plain,
    ( product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))) != product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99)))) )],[refute_0_2446,refute_0_2447]) ).

cnf(refute_0_2449,plain,
    difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))),
    inference(resolve,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99)))) )],[refute_0_2445,refute_0_2448]) ).

cnf(refute_0_2450,plain,
    ( difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) != product(difference(product(X_27,X_99),X_99),X_27)
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) != difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99)))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))))),bind(Y,$fot(difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))))),bind(Z,$fot(product(difference(product(X_27,X_99),X_99),X_27)))]]) ).

cnf(refute_0_2451,plain,
    ( difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))) != product(difference(product(X_27,X_99),X_99),X_27)
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99)))) )],[refute_0_2449,refute_0_2450]) ).

cnf(refute_0_2452,plain,
    difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) = product(difference(product(X_27,X_99),X_99),X_27),
    inference(resolve,[$cnf( $equal(difference(product(X_99,product(product(X_99,quotient(X_27,X_99)),quotient(X_27,X_99))),product(X_99,quotient(X_27,X_99))),product(difference(product(X_27,X_99),X_99),X_27)) )],[refute_0_2413,refute_0_2451]) ).

cnf(refute_0_2453,plain,
    ( difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) != product(difference(product(X_27,X_99),X_99),X_27)
    | product(difference(product(X_27,X_99),X_99),X_27) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) ),[0],$fot(product(difference(product(X_27,X_99),X_99),X_27))]]) ).

cnf(refute_0_2454,plain,
    ( difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(difference(product(X_27,X_99),X_99),X_27) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),product(difference(product(X_27,X_99),X_99),X_27)) )],[refute_0_2452,refute_0_2453]) ).

cnf(refute_0_2455,plain,
    product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) = product(X_99,product(quotient(X_27,X_99),X_27)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(X_99)),bind(X_65,$fot(quotient(X_27,X_99))),bind(X_66,$fot(X_27))]]) ).

cnf(refute_0_2456,plain,
    difference(X_99,product(X_99,product(X_99,X_27))) = product(X_99,X_27),
    inference(subst,[],[sos01:[bind(A,$fot(X_99)),bind(B,$fot(product(X_99,X_27)))]]) ).

cnf(refute_0_2457,plain,
    bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) = product(product(X_81,product(X_81,quotient(X_19,X_81))),X_81),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(X_81)),bind(X_22,$fot(product(X_81,quotient(X_19,X_81))))]]) ).

cnf(refute_0_2458,plain,
    difference(product(X_19,X_81),X_81) = product(X_81,product(X_81,quotient(X_19,X_81))),
    inference(subst,[],[refute_0_1369:[bind(X_20,$fot(X_81))]]) ).

cnf(refute_0_2459,plain,
    ( difference(product(X_19,X_81),X_81) != product(X_81,product(X_81,quotient(X_19,X_81)))
    | product(X_81,product(X_81,quotient(X_19,X_81))) = difference(product(X_19,X_81),X_81) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(X_19,X_81),X_81))),bind(Y,$fot(product(X_81,product(X_81,quotient(X_19,X_81)))))]]) ).

cnf(refute_0_2460,plain,
    product(X_81,product(X_81,quotient(X_19,X_81))) = difference(product(X_19,X_81),X_81),
    inference(resolve,[$cnf( $equal(difference(product(X_19,X_81),X_81),product(X_81,product(X_81,quotient(X_19,X_81)))) )],[refute_0_2458,refute_0_2459]) ).

cnf(refute_0_2461,plain,
    ( bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) != product(product(X_81,product(X_81,quotient(X_19,X_81))),X_81)
    | product(X_81,product(X_81,quotient(X_19,X_81))) != difference(product(X_19,X_81),X_81)
    | bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) = product(difference(product(X_19,X_81),X_81),X_81) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81),product(product(X_81,product(X_81,quotient(X_19,X_81))),X_81)) ),[1,0],$fot(difference(product(X_19,X_81),X_81))]]) ).

cnf(refute_0_2462,plain,
    ( bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) != product(product(X_81,product(X_81,quotient(X_19,X_81))),X_81)
    | bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) = product(difference(product(X_19,X_81),X_81),X_81) ),
    inference(resolve,[$cnf( $equal(product(X_81,product(X_81,quotient(X_19,X_81))),difference(product(X_19,X_81),X_81)) )],[refute_0_2460,refute_0_2461]) ).

cnf(refute_0_2463,plain,
    bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) = product(difference(product(X_19,X_81),X_81),X_81),
    inference(resolve,[$cnf( $equal(bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81),product(product(X_81,product(X_81,quotient(X_19,X_81))),X_81)) )],[refute_0_2457,refute_0_2462]) ).

cnf(refute_0_2464,plain,
    bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) = bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(X_81)),bind(B,$fot(X_81)),bind(C,$fot(product(X_81,quotient(X_19,X_81))))]]) ).

cnf(refute_0_2465,plain,
    ( bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) != bigC(X_81,X_81,product(X_81,quotient(X_19,X_81)))
    | bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) != product(difference(product(X_19,X_81),X_81),X_81)
    | bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(difference(product(X_19,X_81),X_81),X_81) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81),product(difference(product(X_19,X_81),X_81),X_81)) ),[0],$fot(bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))))]]) ).

cnf(refute_0_2466,plain,
    ( bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81) != product(difference(product(X_19,X_81),X_81),X_81)
    | bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(difference(product(X_19,X_81),X_81),X_81) ),
    inference(resolve,[$cnf( $equal(bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81),bigC(X_81,X_81,product(X_81,quotient(X_19,X_81)))) )],[refute_0_2464,refute_0_2465]) ).

cnf(refute_0_2467,plain,
    bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(difference(product(X_19,X_81),X_81),X_81),
    inference(resolve,[$cnf( $equal(bigC(X_81,product(X_81,quotient(X_19,X_81)),X_81),product(difference(product(X_19,X_81),X_81),X_81)) )],[refute_0_2463,refute_0_2466]) ).

cnf(refute_0_2468,plain,
    product(X_81,X_81) = X_81,
    inference(subst,[],[sos06:[bind(A,$fot(X_81))]]) ).

cnf(refute_0_2469,plain,
    product(product(X_81,X_81),X_19) = product(product(X_81,X_81),X_19),
    introduced(tautology,[refl,[$fot(product(product(X_81,X_81),X_19))]]) ).

cnf(refute_0_2470,plain,
    ( product(X_81,X_81) != X_81
    | product(product(X_81,X_81),X_19) != product(product(X_81,X_81),X_19)
    | product(product(X_81,X_81),X_19) = product(X_81,X_19) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_81,X_81),X_19),product(product(X_81,X_81),X_19)) ),[1,0],$fot(X_81)]]) ).

cnf(refute_0_2471,plain,
    ( product(X_81,X_81) != X_81
    | product(product(X_81,X_81),X_19) = product(X_81,X_19) ),
    inference(resolve,[$cnf( $equal(product(product(X_81,X_81),X_19),product(product(X_81,X_81),X_19)) )],[refute_0_2469,refute_0_2470]) ).

cnf(refute_0_2472,plain,
    product(product(X_81,X_81),X_19) = product(X_81,X_19),
    inference(resolve,[$cnf( $equal(product(X_81,X_81),X_81) )],[refute_0_2468,refute_0_2471]) ).

cnf(refute_0_2473,plain,
    bigC(X_81,quotient(X_19,X_81),X_81) = product(product(X_81,X_81),X_19),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(X_19)),bind(X_21,$fot(X_81)),bind(X_22,$fot(X_81))]]) ).

cnf(refute_0_2474,plain,
    ( bigC(X_81,quotient(X_19,X_81),X_81) != product(product(X_81,X_81),X_19)
    | product(product(X_81,X_81),X_19) != product(X_81,X_19)
    | bigC(X_81,quotient(X_19,X_81),X_81) = product(X_81,X_19) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(X_81,quotient(X_19,X_81),X_81))),bind(Y,$fot(product(product(X_81,X_81),X_19))),bind(Z,$fot(product(X_81,X_19)))]]) ).

cnf(refute_0_2475,plain,
    ( product(product(X_81,X_81),X_19) != product(X_81,X_19)
    | bigC(X_81,quotient(X_19,X_81),X_81) = product(X_81,X_19) ),
    inference(resolve,[$cnf( $equal(bigC(X_81,quotient(X_19,X_81),X_81),product(product(X_81,X_81),X_19)) )],[refute_0_2473,refute_0_2474]) ).

cnf(refute_0_2476,plain,
    bigC(X_81,quotient(X_19,X_81),X_81) = product(X_81,X_19),
    inference(resolve,[$cnf( $equal(product(product(X_81,X_81),X_19),product(X_81,X_19)) )],[refute_0_2472,refute_0_2475]) ).

cnf(refute_0_2477,plain,
    product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) = product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)),
    introduced(tautology,[refl,[$fot(product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)))]]) ).

cnf(refute_0_2478,plain,
    ( bigC(X_81,quotient(X_19,X_81),X_81) != product(X_81,X_19)
    | product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) != product(X_81,bigC(X_81,quotient(X_19,X_81),X_81))
    | product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) = product(X_81,product(X_81,X_19)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)),product(X_81,bigC(X_81,quotient(X_19,X_81),X_81))) ),[1,1],$fot(product(X_81,X_19))]]) ).

cnf(refute_0_2479,plain,
    ( bigC(X_81,quotient(X_19,X_81),X_81) != product(X_81,X_19)
    | product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) = product(X_81,product(X_81,X_19)) ),
    inference(resolve,[$cnf( $equal(product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)),product(X_81,bigC(X_81,quotient(X_19,X_81),X_81))) )],[refute_0_2477,refute_0_2478]) ).

cnf(refute_0_2480,plain,
    product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) = product(X_81,product(X_81,X_19)),
    inference(resolve,[$cnf( $equal(bigC(X_81,quotient(X_19,X_81),X_81),product(X_81,X_19)) )],[refute_0_2476,refute_0_2479]) ).

cnf(refute_0_2481,plain,
    bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(quotient(X_19,X_81))),bind(X_83,$fot(X_81))]]) ).

cnf(refute_0_2482,plain,
    ( bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) != product(X_81,bigC(X_81,quotient(X_19,X_81),X_81))
    | product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) != product(X_81,product(X_81,X_19))
    | bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(X_81,product(X_81,X_19)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))))),bind(Y,$fot(product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)))),bind(Z,$fot(product(X_81,product(X_81,X_19))))]]) ).

cnf(refute_0_2483,plain,
    ( product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)) != product(X_81,product(X_81,X_19))
    | bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(X_81,product(X_81,X_19)) ),
    inference(resolve,[$cnf( $equal(bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))),product(X_81,bigC(X_81,quotient(X_19,X_81),X_81))) )],[refute_0_2481,refute_0_2482]) ).

cnf(refute_0_2484,plain,
    bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) = product(X_81,product(X_81,X_19)),
    inference(resolve,[$cnf( $equal(product(X_81,bigC(X_81,quotient(X_19,X_81),X_81)),product(X_81,product(X_81,X_19))) )],[refute_0_2480,refute_0_2483]) ).

cnf(refute_0_2485,plain,
    ( bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) != product(X_81,product(X_81,X_19))
    | bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) != product(difference(product(X_19,X_81),X_81),X_81)
    | product(X_81,product(X_81,X_19)) = product(difference(product(X_19,X_81),X_81),X_81) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))),product(difference(product(X_19,X_81),X_81),X_81)) ),[0],$fot(product(X_81,product(X_81,X_19)))]]) ).

cnf(refute_0_2486,plain,
    ( bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))) != product(difference(product(X_19,X_81),X_81),X_81)
    | product(X_81,product(X_81,X_19)) = product(difference(product(X_19,X_81),X_81),X_81) ),
    inference(resolve,[$cnf( $equal(bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))),product(X_81,product(X_81,X_19))) )],[refute_0_2484,refute_0_2485]) ).

cnf(refute_0_2487,plain,
    product(X_81,product(X_81,X_19)) = product(difference(product(X_19,X_81),X_81),X_81),
    inference(resolve,[$cnf( $equal(bigC(X_81,X_81,product(X_81,quotient(X_19,X_81))),product(difference(product(X_19,X_81),X_81),X_81)) )],[refute_0_2467,refute_0_2486]) ).

cnf(refute_0_2488,plain,
    ( product(X_81,product(X_81,X_19)) != product(difference(product(X_19,X_81),X_81),X_81)
    | product(difference(product(X_19,X_81),X_81),X_81) = product(X_81,product(X_81,X_19)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(X_81,product(X_81,X_19)))),bind(Y,$fot(product(difference(product(X_19,X_81),X_81),X_81)))]]) ).

cnf(refute_0_2489,plain,
    product(difference(product(X_19,X_81),X_81),X_81) = product(X_81,product(X_81,X_19)),
    inference(resolve,[$cnf( $equal(product(X_81,product(X_81,X_19)),product(difference(product(X_19,X_81),X_81),X_81)) )],[refute_0_2487,refute_0_2488]) ).

cnf(refute_0_2490,plain,
    product(difference(product(X_27,X_99),X_99),X_99) = product(X_99,product(X_99,X_27)),
    inference(subst,[],[refute_0_2489:[bind(X_19,$fot(X_27)),bind(X_81,$fot(X_99))]]) ).

cnf(refute_0_2491,plain,
    difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)),
    introduced(tautology,[refl,[$fot(difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))]]) ).

cnf(refute_0_2492,plain,
    ( difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) != difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))
    | product(difference(product(X_27,X_99),X_99),X_99) != product(X_99,product(X_99,X_27))
    | difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = difference(X_99,product(X_99,product(X_99,X_27))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),[1,1],$fot(product(X_99,product(X_99,X_27)))]]) ).

cnf(refute_0_2493,plain,
    ( product(difference(product(X_27,X_99),X_99),X_99) != product(X_99,product(X_99,X_27))
    | difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = difference(X_99,product(X_99,product(X_99,X_27))) ),
    inference(resolve,[$cnf( $equal(difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) )],[refute_0_2491,refute_0_2492]) ).

cnf(refute_0_2494,plain,
    difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = difference(X_99,product(X_99,product(X_99,X_27))),
    inference(resolve,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),X_99),product(X_99,product(X_99,X_27))) )],[refute_0_2490,refute_0_2493]) ).

cnf(refute_0_2495,plain,
    ( difference(X_99,product(X_99,product(X_99,X_27))) != product(X_99,X_27)
    | difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) != difference(X_99,product(X_99,product(X_99,X_27)))
    | difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = product(X_99,X_27) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))),bind(Y,$fot(difference(X_99,product(X_99,product(X_99,X_27))))),bind(Z,$fot(product(X_99,X_27)))]]) ).

cnf(refute_0_2496,plain,
    ( difference(X_99,product(X_99,product(X_99,X_27))) != product(X_99,X_27)
    | difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = product(X_99,X_27) ),
    inference(resolve,[$cnf( $equal(difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)),difference(X_99,product(X_99,product(X_99,X_27)))) )],[refute_0_2494,refute_0_2495]) ).

cnf(refute_0_2497,plain,
    difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) = product(X_99,X_27),
    inference(resolve,[$cnf( $equal(difference(X_99,product(X_99,product(X_99,X_27))),product(X_99,X_27)) )],[refute_0_2456,refute_0_2496]) ).

cnf(refute_0_2498,plain,
    product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),
    introduced(tautology,[refl,[$fot(product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))))]]) ).

cnf(refute_0_2499,plain,
    ( difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) != product(X_99,X_27)
    | product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) ),[1,1],$fot(product(X_99,X_27))]]) ).

cnf(refute_0_2500,plain,
    ( difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)) != product(X_99,X_27)
    | product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) ),
    inference(resolve,[$cnf( $equal(product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) )],[refute_0_2498,refute_0_2499]) ).

cnf(refute_0_2501,plain,
    product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)),
    inference(resolve,[$cnf( $equal(difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)),product(X_99,X_27)) )],[refute_0_2497,refute_0_2500]) ).

cnf(refute_0_2502,plain,
    product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),
    introduced(tautology,[refl,[$fot(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))))]]) ).

cnf(refute_0_2503,plain,
    ( difference(X_99,difference(product(X_27,X_99),X_99)) != product(X_99,quotient(X_27,X_99))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) ),[1,0],$fot(product(X_99,quotient(X_27,X_99)))]]) ).

cnf(refute_0_2504,plain,
    ( difference(X_99,difference(product(X_27,X_99),X_99)) != product(X_99,quotient(X_27,X_99))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) ),
    inference(resolve,[$cnf( $equal(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) )],[refute_0_2502,refute_0_2503]) ).

cnf(refute_0_2505,plain,
    product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),
    inference(resolve,[$cnf( $equal(difference(X_99,difference(product(X_27,X_99),X_99)),product(X_99,quotient(X_27,X_99))) )],[refute_0_2370,refute_0_2504]) ).

cnf(refute_0_2506,plain,
    ( product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))))),bind(Y,$fot(product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))))),bind(Z,$fot(product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27))))]]) ).

cnf(refute_0_2507,plain,
    ( product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) ),
    inference(resolve,[$cnf( $equal(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) )],[refute_0_2505,refute_0_2506]) ).

cnf(refute_0_2508,plain,
    product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)),
    inference(resolve,[$cnf( $equal(product(product(X_99,quotient(X_27,X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27))) )],[refute_0_2501,refute_0_2507]) ).

cnf(refute_0_2509,plain,
    ( product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27))
    | product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) != product(X_99,product(quotient(X_27,X_99),X_27))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(X_99,product(quotient(X_27,X_99),X_27)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))))),bind(Y,$fot(product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)))),bind(Z,$fot(product(X_99,product(quotient(X_27,X_99),X_27))))]]) ).

cnf(refute_0_2510,plain,
    ( product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)) != product(X_99,product(quotient(X_27,X_99),X_27))
    | product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(X_99,product(quotient(X_27,X_99),X_27)) ),
    inference(resolve,[$cnf( $equal(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27))) )],[refute_0_2508,refute_0_2509]) ).

cnf(refute_0_2511,plain,
    product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) = product(X_99,product(quotient(X_27,X_99),X_27)),
    inference(resolve,[$cnf( $equal(product(product(X_99,quotient(X_27,X_99)),product(X_99,X_27)),product(X_99,product(quotient(X_27,X_99),X_27))) )],[refute_0_2455,refute_0_2510]) ).

cnf(refute_0_2512,plain,
    ( product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))) != product(X_99,product(quotient(X_27,X_99),X_27))
    | product(difference(product(X_27,X_99),X_99),X_27) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(difference(product(X_27,X_99),X_99),X_27) = product(X_99,product(quotient(X_27,X_99),X_27)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),X_27),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) ),[1],$fot(product(X_99,product(quotient(X_27,X_99),X_27)))]]) ).

cnf(refute_0_2513,plain,
    ( product(difference(product(X_27,X_99),X_99),X_27) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(difference(product(X_27,X_99),X_99),X_27) = product(X_99,product(quotient(X_27,X_99),X_27)) ),
    inference(resolve,[$cnf( $equal(product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99))),product(X_99,product(quotient(X_27,X_99),X_27))) )],[refute_0_2511,refute_0_2512]) ).

cnf(refute_0_2514,plain,
    ( difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))) != product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))
    | product(difference(product(X_27,X_99),X_99),X_27) = product(X_99,product(quotient(X_27,X_99),X_27)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(X_27,X_99),X_99),X_27),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) )],[refute_0_2454,refute_0_2513]) ).

cnf(refute_0_2515,plain,
    product(difference(product(X_27,X_99),X_99),X_27) = product(X_99,product(quotient(X_27,X_99),X_27)),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(X_27,X_99),X_99),difference(X_99,difference(product(X_27,X_99),X_99))),product(X_99,quotient(X_27,X_99))),product(difference(X_99,difference(product(X_27,X_99),X_99)),difference(X_99,product(difference(product(X_27,X_99),X_99),X_99)))) )],[refute_0_2373,refute_0_2514]) ).

cnf(refute_0_2516,plain,
    product(difference(product(c,b),b),c) = product(b,product(quotient(c,b),c)),
    inference(subst,[],[refute_0_2515:[bind(X_27,$fot(c)),bind(X_99,$fot(b))]]) ).

cnf(refute_0_2517,plain,
    difference(c,product(c,b)) = b,
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(b))]]) ).

cnf(refute_0_2518,plain,
    difference(product(c,b),difference(c,product(c,b))) = difference(product(c,b),difference(c,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),difference(c,product(c,b))))]]) ).

cnf(refute_0_2519,plain,
    ( difference(c,product(c,b)) != b
    | difference(product(c,b),difference(c,product(c,b))) != difference(product(c,b),difference(c,product(c,b)))
    | difference(product(c,b),difference(c,product(c,b))) = difference(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),difference(c,product(c,b))),difference(product(c,b),difference(c,product(c,b)))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_2520,plain,
    ( difference(c,product(c,b)) != b
    | difference(product(c,b),difference(c,product(c,b))) = difference(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(c,product(c,b))),difference(product(c,b),difference(c,product(c,b)))) )],[refute_0_2518,refute_0_2519]) ).

cnf(refute_0_2521,plain,
    difference(product(c,b),difference(c,product(c,b))) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,b)),b) )],[refute_0_2517,refute_0_2520]) ).

cnf(refute_0_2522,plain,
    product(difference(product(c,b),difference(c,product(c,b))),c) = product(difference(product(c,b),difference(c,product(c,b))),c),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),difference(c,product(c,b))),c))]]) ).

cnf(refute_0_2523,plain,
    ( difference(product(c,b),difference(c,product(c,b))) != difference(product(c,b),b)
    | product(difference(product(c,b),difference(c,product(c,b))),c) != product(difference(product(c,b),difference(c,product(c,b))),c)
    | product(difference(product(c,b),difference(c,product(c,b))),c) = product(difference(product(c,b),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),difference(c,product(c,b))),c),product(difference(product(c,b),difference(c,product(c,b))),c)) ),[1,0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_2524,plain,
    ( difference(product(c,b),difference(c,product(c,b))) != difference(product(c,b),b)
    | product(difference(product(c,b),difference(c,product(c,b))),c) = product(difference(product(c,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(c,product(c,b))),c),product(difference(product(c,b),difference(c,product(c,b))),c)) )],[refute_0_2522,refute_0_2523]) ).

cnf(refute_0_2525,plain,
    product(difference(product(c,b),difference(c,product(c,b))),c) = product(difference(product(c,b),b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(c,product(c,b))),difference(product(c,b),b)) )],[refute_0_2521,refute_0_2524]) ).

cnf(refute_0_2526,plain,
    ( product(difference(product(c,b),b),c) != product(b,product(quotient(c,b),c))
    | product(difference(product(c,b),difference(c,product(c,b))),c) != product(difference(product(c,b),b),c)
    | product(difference(product(c,b),difference(c,product(c,b))),c) = product(b,product(quotient(c,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),difference(c,product(c,b))),c))),bind(Y,$fot(product(difference(product(c,b),b),c))),bind(Z,$fot(product(b,product(quotient(c,b),c))))]]) ).

cnf(refute_0_2527,plain,
    ( product(difference(product(c,b),b),c) != product(b,product(quotient(c,b),c))
    | product(difference(product(c,b),difference(c,product(c,b))),c) = product(b,product(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(c,product(c,b))),c),product(difference(product(c,b),b),c)) )],[refute_0_2525,refute_0_2526]) ).

cnf(refute_0_2528,plain,
    product(difference(product(c,b),difference(c,product(c,b))),c) = product(b,product(quotient(c,b),c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),b),c),product(b,product(quotient(c,b),c))) )],[refute_0_2516,refute_0_2527]) ).

cnf(refute_0_2529,plain,
    product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) = product(difference(product(c,b),difference(c,product(c,b))),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(product(c,b)))]]) ).

cnf(refute_0_2530,plain,
    ( product(difference(product(c,b),difference(c,product(c,b))),c) != product(b,product(quotient(c,b),c))
    | product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) != product(difference(product(c,b),difference(c,product(c,b))),c)
    | product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) = product(b,product(quotient(c,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))))),bind(Y,$fot(product(difference(product(c,b),difference(c,product(c,b))),c))),bind(Z,$fot(product(b,product(quotient(c,b),c))))]]) ).

cnf(refute_0_2531,plain,
    ( product(difference(product(c,b),difference(c,product(c,b))),c) != product(b,product(quotient(c,b),c))
    | product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) = product(b,product(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))),product(difference(product(c,b),difference(c,product(c,b))),c)) )],[refute_0_2529,refute_0_2530]) ).

cnf(refute_0_2532,plain,
    product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) = product(b,product(quotient(c,b),c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(c,product(c,b))),c),product(b,product(quotient(c,b),c))) )],[refute_0_2528,refute_0_2531]) ).

cnf(refute_0_2533,plain,
    ( product(b,product(c,a)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))) != product(b,product(quotient(c,b),c))
    | product(b,product(c,a)) = product(b,product(quotient(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(c,a)),product(b,product(quotient(c,b),c))) ),[0],$fot(product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))))]]) ).

cnf(refute_0_2534,plain,
    ( product(b,product(c,a)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | product(b,product(c,a)) = product(b,product(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b))),product(b,product(quotient(c,b),c))) )],[refute_0_2532,refute_0_2533]) ).

cnf(refute_0_2535,plain,
    ( quotient(quotient(c,product(c,b)),product(product(b,a),c)) != product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))
    | product(b,product(c,a)) = product(b,product(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(c,a)),product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))) )],[refute_0_2350,refute_0_2534]) ).

cnf(refute_0_2536,plain,
    product(b,product(c,a)) = product(b,product(quotient(c,b),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),product(product(b,a),c)),product(product(product(c,b),quotient(c,product(c,b))),quotient(c,product(c,b)))) )],[refute_0_2094,refute_0_2535]) ).

cnf(refute_0_2537,plain,
    ( product(b,product(c,a)) != product(b,product(quotient(c,b),c))
    | product(b,product(quotient(c,b),c)) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(c,a)))),bind(Y,$fot(product(b,product(quotient(c,b),c))))]]) ).

cnf(refute_0_2538,plain,
    product(b,product(quotient(c,b),c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,product(c,a)),product(b,product(quotient(c,b),c))) )],[refute_0_2536,refute_0_2537]) ).

cnf(refute_0_2539,plain,
    ( difference(b,product(b,product(quotient(c,b),c))) != product(quotient(c,b),c)
    | product(b,product(quotient(c,b),c)) != product(b,product(c,a))
    | difference(b,product(b,product(c,a))) = product(quotient(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(quotient(c,b),c))),product(quotient(c,b),c)) ),[0,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_2540,plain,
    ( difference(b,product(b,product(quotient(c,b),c))) != product(quotient(c,b),c)
    | difference(b,product(b,product(c,a))) = product(quotient(c,b),c) ),
    inference(resolve,[$cnf( $equal(product(b,product(quotient(c,b),c)),product(b,product(c,a))) )],[refute_0_2538,refute_0_2539]) ).

cnf(refute_0_2541,plain,
    difference(b,product(b,product(c,a))) = product(quotient(c,b),c),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(quotient(c,b),c))),product(quotient(c,b),c)) )],[refute_0_2086,refute_0_2540]) ).

cnf(refute_0_2542,plain,
    difference(b,product(b,product(c,a))) = product(c,a),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_2543,plain,
    ( difference(b,product(b,product(c,a))) != product(c,a)
    | difference(b,product(b,product(c,a))) != product(quotient(c,b),c)
    | product(c,a) = product(quotient(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(c,a))),product(quotient(c,b),c)) ),[0],$fot(product(c,a))]]) ).

cnf(refute_0_2544,plain,
    ( difference(b,product(b,product(c,a))) != product(quotient(c,b),c)
    | product(c,a) = product(quotient(c,b),c) ),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(c,a))),product(c,a)) )],[refute_0_2542,refute_0_2543]) ).

cnf(refute_0_2545,plain,
    product(c,a) = product(quotient(c,b),c),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(c,a))),product(quotient(c,b),c)) )],[refute_0_2541,refute_0_2544]) ).

cnf(refute_0_2546,plain,
    ( product(c,a) != product(quotient(c,b),c)
    | product(quotient(c,b),c) = product(c,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,a))),bind(Y,$fot(product(quotient(c,b),c)))]]) ).

cnf(refute_0_2547,plain,
    product(quotient(c,b),c) = product(c,a),
    inference(resolve,[$cnf( $equal(product(c,a),product(quotient(c,b),c)) )],[refute_0_2545,refute_0_2546]) ).

cnf(refute_0_2548,plain,
    ( product(quotient(c,b),c) != product(c,a)
    | quotient(product(quotient(c,b),c),c) != quotient(c,b)
    | quotient(product(c,a),c) = quotient(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(c,b),c),c),quotient(c,b)) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_2549,plain,
    ( quotient(product(quotient(c,b),c),c) != quotient(c,b)
    | quotient(product(c,a),c) = quotient(c,b) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),c),product(c,a)) )],[refute_0_2547,refute_0_2548]) ).

cnf(refute_0_2550,plain,
    quotient(product(c,a),c) = quotient(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,b),c),c),quotient(c,b)) )],[refute_0_2085,refute_0_2549]) ).

cnf(refute_0_2551,plain,
    ( product(c,quotient(a,c)) != difference(c,product(b,a))
    | quotient(product(c,a),c) != product(c,quotient(a,c))
    | quotient(product(c,a),c) = difference(c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,a),c))),bind(Y,$fot(product(c,quotient(a,c)))),bind(Z,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_2552,plain,
    ( product(c,quotient(a,c)) != difference(c,product(b,a))
    | quotient(product(c,a),c) = difference(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),c),product(c,quotient(a,c))) )],[refute_0_1941,refute_0_2551]) ).

cnf(refute_0_2553,plain,
    quotient(product(c,a),c) = difference(c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_2552]) ).

cnf(refute_0_2554,plain,
    ( quotient(product(c,a),c) != difference(c,product(b,a))
    | quotient(product(c,a),c) != quotient(c,b)
    | difference(c,product(b,a)) = quotient(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),c),quotient(c,b)) ),[0],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_2555,plain,
    ( quotient(product(c,a),c) != quotient(c,b)
    | difference(c,product(b,a)) = quotient(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),c),difference(c,product(b,a))) )],[refute_0_2553,refute_0_2554]) ).

cnf(refute_0_2556,plain,
    difference(c,product(b,a)) = quotient(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),c),quotient(c,b)) )],[refute_0_2550,refute_0_2555]) ).

cnf(refute_0_2557,plain,
    difference(difference(c,product(b,a)),quotient(a,c)) = difference(difference(c,product(b,a)),quotient(a,c)),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(b,a)),quotient(a,c)))]]) ).

cnf(refute_0_2558,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | difference(difference(c,product(b,a)),quotient(a,c)) != difference(difference(c,product(b,a)),quotient(a,c))
    | difference(difference(c,product(b,a)),quotient(a,c)) = difference(quotient(c,b),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,a)),quotient(a,c)),difference(difference(c,product(b,a)),quotient(a,c))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_2559,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | difference(difference(c,product(b,a)),quotient(a,c)) = difference(quotient(c,b),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,a)),quotient(a,c)),difference(difference(c,product(b,a)),quotient(a,c))) )],[refute_0_2557,refute_0_2558]) ).

cnf(refute_0_2560,plain,
    difference(difference(c,product(b,a)),quotient(a,c)) = difference(quotient(c,b),quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_2559]) ).

cnf(refute_0_2561,plain,
    product(difference(difference(c,product(b,a)),quotient(a,c)),c) = product(difference(difference(c,product(b,a)),quotient(a,c)),c),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(b,a)),quotient(a,c)),c))]]) ).

cnf(refute_0_2562,plain,
    ( difference(difference(c,product(b,a)),quotient(a,c)) != difference(quotient(c,b),quotient(a,c))
    | product(difference(difference(c,product(b,a)),quotient(a,c)),c) != product(difference(difference(c,product(b,a)),quotient(a,c)),c)
    | product(difference(difference(c,product(b,a)),quotient(a,c)),c) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(b,a)),quotient(a,c)),c),product(difference(difference(c,product(b,a)),quotient(a,c)),c)) ),[1,0],$fot(difference(quotient(c,b),quotient(a,c)))]]) ).

cnf(refute_0_2563,plain,
    ( difference(difference(c,product(b,a)),quotient(a,c)) != difference(quotient(c,b),quotient(a,c))
    | product(difference(difference(c,product(b,a)),quotient(a,c)),c) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,a)),quotient(a,c)),c),product(difference(difference(c,product(b,a)),quotient(a,c)),c)) )],[refute_0_2561,refute_0_2562]) ).

cnf(refute_0_2564,plain,
    product(difference(difference(c,product(b,a)),quotient(a,c)),c) = product(difference(quotient(c,b),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,a)),quotient(a,c)),difference(quotient(c,b),quotient(a,c))) )],[refute_0_2560,refute_0_2563]) ).

cnf(refute_0_2565,plain,
    ( product(difference(difference(c,product(b,a)),quotient(a,c)),c) != product(difference(quotient(c,b),quotient(a,c)),c)
    | quotient(difference(c,product(a,c)),product(a,b)) != product(difference(difference(c,product(b,a)),quotient(a,c)),c)
    | quotient(difference(c,product(a,c)),product(a,b)) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(difference(difference(c,product(b,a)),quotient(a,c)),c)) ),[1],$fot(product(difference(quotient(c,b),quotient(a,c)),c))]]) ).

cnf(refute_0_2566,plain,
    ( quotient(difference(c,product(a,c)),product(a,b)) != product(difference(difference(c,product(b,a)),quotient(a,c)),c)
    | quotient(difference(c,product(a,c)),product(a,b)) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,a)),quotient(a,c)),c),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_2564,refute_0_2565]) ).

cnf(refute_0_2567,plain,
    quotient(difference(c,product(a,c)),product(a,b)) = product(difference(quotient(c,b),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(difference(difference(c,product(b,a)),quotient(a,c)),c)) )],[refute_0_2084,refute_0_2566]) ).

cnf(refute_0_2568,plain,
    ( product(c,difference(c,product(a,c))) != bigC(c,product(a,c),quotient(difference(c,product(a,c)),product(a,b)))
    | quotient(difference(c,product(a,c)),product(a,b)) != product(difference(quotient(c,b),quotient(a,c)),c)
    | product(c,difference(c,product(a,c))) = bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(c,product(a,c))),bigC(c,product(a,c),quotient(difference(c,product(a,c)),product(a,b)))) ),[1,2],$fot(product(difference(quotient(c,b),quotient(a,c)),c))]]) ).

cnf(refute_0_2569,plain,
    ( product(c,difference(c,product(a,c))) != bigC(c,product(a,c),quotient(difference(c,product(a,c)),product(a,b)))
    | product(c,difference(c,product(a,c))) = bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_2567,refute_0_2568]) ).

cnf(refute_0_2570,plain,
    product(c,difference(c,product(a,c))) = bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(a,c))),bigC(c,product(a,c),quotient(difference(c,product(a,c)),product(a,b)))) )],[refute_0_1350,refute_0_2569]) ).

cnf(refute_0_2571,plain,
    product(c,difference(c,product(a,c))) = product(a,c),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_2572,plain,
    ( product(c,difference(c,product(a,c))) != bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))
    | product(c,difference(c,product(a,c))) != product(a,c)
    | product(a,c) = bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(c,product(a,c))),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_2573,plain,
    ( product(c,difference(c,product(a,c))) != bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))
    | product(a,c) = bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(a,c))),product(a,c)) )],[refute_0_2571,refute_0_2572]) ).

cnf(refute_0_2574,plain,
    product(a,c) = bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(a,c))),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) )],[refute_0_2570,refute_0_2573]) ).

cnf(refute_0_2575,plain,
    ( product(a,c) != bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))
    | bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) = product(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,c))),bind(Y,$fot(bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))))]]) ).

cnf(refute_0_2576,plain,
    bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) )],[refute_0_2574,refute_0_2575]) ).

cnf(refute_0_2577,plain,
    ( bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) != product(a,c)
    | difference(product(c,product(a,c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) != product(product(difference(quotient(c,b),quotient(a,c)),c),c)
    | difference(product(c,product(a,c)),product(a,c)) = product(product(difference(quotient(c,b),quotient(a,c)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))),product(product(difference(quotient(c,b),quotient(a,c)),c),c)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_2578,plain,
    ( difference(product(c,product(a,c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) != product(product(difference(quotient(c,b),quotient(a,c)),c),c)
    | difference(product(c,product(a,c)),product(a,c)) = product(product(difference(quotient(c,b),quotient(a,c)),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) )],[refute_0_2576,refute_0_2577]) ).

cnf(refute_0_2579,plain,
    difference(product(c,product(a,c)),product(a,c)) = product(product(difference(quotient(c,b),quotient(a,c)),c),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))),product(product(difference(quotient(c,b),quotient(a,c)),c),c)) )],[refute_0_825,refute_0_2578]) ).

cnf(refute_0_2580,plain,
    difference(quotient(X_9,B),product(quotient(X_9,B),B)) = B,
    inference(subst,[],[sos01:[bind(A,$fot(quotient(X_9,B)))]]) ).

cnf(refute_0_2581,plain,
    product(quotient(X_9,B),B) = X_9,
    inference(subst,[],[sos04:[bind(A,$fot(X_9))]]) ).

cnf(refute_0_2582,plain,
    ( difference(quotient(X_9,B),product(quotient(X_9,B),B)) != B
    | product(quotient(X_9,B),B) != X_9
    | difference(quotient(X_9,B),X_9) = B ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(X_9,B),product(quotient(X_9,B),B)),B) ),[0,1],$fot(X_9)]]) ).

cnf(refute_0_2583,plain,
    ( difference(quotient(X_9,B),product(quotient(X_9,B),B)) != B
    | difference(quotient(X_9,B),X_9) = B ),
    inference(resolve,[$cnf( $equal(product(quotient(X_9,B),B),X_9) )],[refute_0_2581,refute_0_2582]) ).

cnf(refute_0_2584,plain,
    difference(quotient(X_9,B),X_9) = B,
    inference(resolve,[$cnf( $equal(difference(quotient(X_9,B),product(quotient(X_9,B),B)),B) )],[refute_0_2580,refute_0_2583]) ).

cnf(refute_0_2585,plain,
    difference(quotient(product(a,c),product(a,product(c,b))),product(a,c)) = product(a,product(c,b)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(a,product(c,b)))),bind(X_9,$fot(product(a,c)))]]) ).

cnf(refute_0_2586,plain,
    product(bigC(c,b,a),product(a,c)) = product(bigC(c,b,a),product(a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_2587,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(a,c)) != product(bigC(c,b,a),product(a,c))
    | product(bigC(c,b,a),product(a,c)) = product(bigC(c,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,b,a),product(a,c))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_2588,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(a,c)) = product(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,b,a),product(a,c))) )],[refute_0_2586,refute_0_2587]) ).

cnf(refute_0_2589,plain,
    product(bigC(c,b,a),product(a,c)) = product(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_2588]) ).

cnf(refute_0_2590,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = product(bigC(c,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) ),[1],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_2591,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | quotient(product(a,c),product(a,product(c,b))) = product(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2589,refute_0_2590]) ).

cnf(refute_0_2592,plain,
    quotient(product(a,c),product(a,product(c,b))) = product(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_2591]) ).

cnf(refute_0_2593,plain,
    ( difference(quotient(product(a,c),product(a,product(c,b))),product(a,c)) != product(a,product(c,b))
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,a,b),product(a,c))
    | difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,c),product(a,product(c,b))),product(a,c)),product(a,product(c,b))) ),[0,0],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_2594,plain,
    ( difference(quotient(product(a,c),product(a,product(c,b))),product(a,c)) != product(a,product(c,b))
    | difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,a,b),product(a,c))) )],[refute_0_2592,refute_0_2593]) ).

cnf(refute_0_2595,plain,
    difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,c),product(a,product(c,b))),product(a,c)),product(a,product(c,b))) )],[refute_0_2585,refute_0_2594]) ).

cnf(refute_0_2596,plain,
    product(bigC(c,a,b),product(a,c)) = product(bigC(c,a,b),product(a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_2597,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(bigC(c,a,b),product(a,c)) = product(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),product(bigC(c,a,b),product(a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_2598,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(a,c)) = product(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2596,refute_0_2597]) ).

cnf(refute_0_2599,plain,
    product(bigC(c,a,b),product(a,c)) = product(c,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_2598]) ).

cnf(refute_0_2600,plain,
    ( product(bigC(c,a,b),product(a,c)) != product(c,product(a,c))
    | product(c,product(a,c)) != bigC(c,a,c)
    | product(bigC(c,a,b),product(a,c)) = bigC(c,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),product(a,c)))),bind(Y,$fot(product(c,product(a,c)))),bind(Z,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_2601,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(bigC(c,a,b),product(a,c)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),product(c,product(a,c))) )],[refute_0_2599,refute_0_2600]) ).

cnf(refute_0_2602,plain,
    product(bigC(c,a,b),product(a,c)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,a,c)) )],[refute_0_898,refute_0_2601]) ).

cnf(refute_0_2603,plain,
    difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = difference(product(bigC(c,a,b),product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,b),product(a,c)),product(a,c)))]]) ).

cnf(refute_0_2604,plain,
    ( difference(product(bigC(c,a,b),product(a,c)),product(a,c)) != difference(product(bigC(c,a,b),product(a,c)),product(a,c))
    | product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = difference(bigC(c,a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),product(a,c)),product(a,c)),difference(product(bigC(c,a,b),product(a,c)),product(a,c))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_2605,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = difference(bigC(c,a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(a,c)),product(a,c)),difference(product(bigC(c,a,b),product(a,c)),product(a,c))) )],[refute_0_2603,refute_0_2604]) ).

cnf(refute_0_2606,plain,
    difference(product(bigC(c,a,b),product(a,c)),product(a,c)) = difference(bigC(c,a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_2602,refute_0_2605]) ).

cnf(refute_0_2607,plain,
    ( difference(product(bigC(c,a,b),product(a,c)),product(a,c)) != difference(bigC(c,a,c),product(a,c))
    | difference(product(bigC(c,a,b),product(a,c)),product(a,c)) != product(a,product(c,b))
    | difference(bigC(c,a,c),product(a,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),product(a,c)),product(a,c)),product(a,product(c,b))) ),[0],$fot(difference(bigC(c,a,c),product(a,c)))]]) ).

cnf(refute_0_2608,plain,
    ( difference(product(bigC(c,a,b),product(a,c)),product(a,c)) != product(a,product(c,b))
    | difference(bigC(c,a,c),product(a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(a,c)),product(a,c)),difference(bigC(c,a,c),product(a,c))) )],[refute_0_2606,refute_0_2607]) ).

cnf(refute_0_2609,plain,
    difference(bigC(c,a,c),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(a,c)),product(a,c)),product(a,product(c,b))) )],[refute_0_2595,refute_0_2608]) ).

cnf(refute_0_2610,plain,
    difference(bigC(c,a,c),product(a,c)) = difference(bigC(c,a,c),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),product(a,c)))]]) ).

cnf(refute_0_2611,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),product(a,c)) != difference(bigC(c,a,c),product(a,c))
    | difference(bigC(c,a,c),product(a,c)) = difference(bigC(a,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),product(a,c)),difference(bigC(c,a,c),product(a,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_2612,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),product(a,c)) = difference(bigC(a,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(a,c)),difference(bigC(c,a,c),product(a,c))) )],[refute_0_2610,refute_0_2611]) ).

cnf(refute_0_2613,plain,
    difference(bigC(c,a,c),product(a,c)) = difference(bigC(a,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_2612]) ).

cnf(refute_0_2614,plain,
    ( difference(bigC(c,a,c),product(a,c)) != difference(bigC(a,a,b),product(a,c))
    | difference(bigC(c,a,c),product(a,c)) != product(a,product(c,b))
    | difference(bigC(a,a,b),product(a,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),product(a,c)),product(a,product(c,b))) ),[0],$fot(difference(bigC(a,a,b),product(a,c)))]]) ).

cnf(refute_0_2615,plain,
    ( difference(bigC(c,a,c),product(a,c)) != product(a,product(c,b))
    | difference(bigC(a,a,b),product(a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(a,c)),difference(bigC(a,a,b),product(a,c))) )],[refute_0_2613,refute_0_2614]) ).

cnf(refute_0_2616,plain,
    difference(bigC(a,a,b),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(a,c)),product(a,product(c,b))) )],[refute_0_2609,refute_0_2615]) ).

cnf(refute_0_2617,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(c,c,a) != bigC(c,a,c)
    | bigC(c,c,a) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,a))),bind(Y,$fot(bigC(c,a,c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_2618,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(c,c,a) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_894,refute_0_2617]) ).

cnf(refute_0_2619,plain,
    bigC(c,c,a) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_2618]) ).

cnf(refute_0_2620,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(c,product(a,c)) != bigC(c,c,a)
    | product(c,product(a,c)) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(a,c)))),bind(Y,$fot(bigC(c,c,a))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_2621,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(c,product(a,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,c,a)) )],[refute_0_895,refute_0_2620]) ).

cnf(refute_0_2622,plain,
    product(c,product(a,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_2621]) ).

cnf(refute_0_2623,plain,
    difference(product(c,product(a,c)),product(a,c)) = difference(product(c,product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(a,c)),product(a,c)))]]) ).

cnf(refute_0_2624,plain,
    ( difference(product(c,product(a,c)),product(a,c)) != difference(product(c,product(a,c)),product(a,c))
    | product(c,product(a,c)) != bigC(a,a,b)
    | difference(product(c,product(a,c)),product(a,c)) = difference(bigC(a,a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,c)),product(a,c)),difference(product(c,product(a,c)),product(a,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_2625,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | difference(product(c,product(a,c)),product(a,c)) = difference(bigC(a,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(a,c)),difference(product(c,product(a,c)),product(a,c))) )],[refute_0_2623,refute_0_2624]) ).

cnf(refute_0_2626,plain,
    difference(product(c,product(a,c)),product(a,c)) = difference(bigC(a,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(a,a,b)) )],[refute_0_2622,refute_0_2625]) ).

cnf(refute_0_2627,plain,
    ( difference(bigC(a,a,b),product(a,c)) != product(a,product(c,b))
    | difference(product(c,product(a,c)),product(a,c)) != difference(bigC(a,a,b),product(a,c))
    | difference(product(c,product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,product(a,c)),product(a,c)))),bind(Y,$fot(difference(bigC(a,a,b),product(a,c)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_2628,plain,
    ( difference(bigC(a,a,b),product(a,c)) != product(a,product(c,b))
    | difference(product(c,product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(a,c)),difference(bigC(a,a,b),product(a,c))) )],[refute_0_2626,refute_0_2627]) ).

cnf(refute_0_2629,plain,
    difference(product(c,product(a,c)),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,c)),product(a,product(c,b))) )],[refute_0_2616,refute_0_2628]) ).

cnf(refute_0_2630,plain,
    ( difference(product(c,product(a,c)),product(a,c)) != product(a,product(c,b))
    | difference(product(c,product(a,c)),product(a,c)) != product(product(difference(quotient(c,b),quotient(a,c)),c),c)
    | product(a,product(c,b)) = product(product(difference(quotient(c,b),quotient(a,c)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,c)),product(a,c)),product(product(difference(quotient(c,b),quotient(a,c)),c),c)) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_2631,plain,
    ( difference(product(c,product(a,c)),product(a,c)) != product(product(difference(quotient(c,b),quotient(a,c)),c),c)
    | product(a,product(c,b)) = product(product(difference(quotient(c,b),quotient(a,c)),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(a,c)),product(a,product(c,b))) )],[refute_0_2629,refute_0_2630]) ).

cnf(refute_0_2632,plain,
    product(a,product(c,b)) = product(product(difference(quotient(c,b),quotient(a,c)),c),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(a,c)),product(product(difference(quotient(c,b),quotient(a,c)),c),c)) )],[refute_0_2579,refute_0_2631]) ).

cnf(refute_0_2633,plain,
    ( product(a,product(c,b)) != product(product(difference(quotient(c,b),quotient(a,c)),c),c)
    | product(product(difference(quotient(c,b),quotient(a,c)),c),c) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(product(difference(quotient(c,b),quotient(a,c)),c),c)))]]) ).

cnf(refute_0_2634,plain,
    product(product(difference(quotient(c,b),quotient(a,c)),c),c) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(product(difference(quotient(c,b),quotient(a,c)),c),c)) )],[refute_0_2632,refute_0_2633]) ).

cnf(refute_0_2635,plain,
    ( product(product(difference(quotient(c,b),quotient(a,c)),c),c) != product(a,product(c,b))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) != difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c),difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_2636,plain,
    ( quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) != difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(a,product(c,b))) )],[refute_0_2634,refute_0_2635]) ).

cnf(refute_0_2637,plain,
    quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c),difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c))) )],[refute_0_824,refute_0_2636]) ).

cnf(refute_0_2638,plain,
    difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c)) = quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(difference(quotient(c,b),quotient(a,c)))),bind(X_18,$fot(c))]]) ).

cnf(refute_0_2639,plain,
    ( difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c)) != quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) != difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c))),bind(Y,$fot(difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c)))),bind(Z,$fot(quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))))]]) ).

cnf(refute_0_2640,plain,
    ( difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c)) != quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c),difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c))) )],[refute_0_824,refute_0_2639]) ).

cnf(refute_0_2641,plain,
    quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) = quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),
    inference(resolve,[$cnf( $equal(difference(c,product(product(difference(quotient(c,b),quotient(a,c)),c),c)),quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_2638,refute_0_2640]) ).

cnf(refute_0_2642,plain,
    ( quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) != difference(c,product(a,product(c,b)))
    | quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) != quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))
    | quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c),difference(c,product(a,product(c,b)))) ),[0],$fot(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_2643,plain,
    ( quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c) != difference(c,product(a,product(c,b)))
    | quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c),quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_2641,refute_0_2642]) ).

cnf(refute_0_2644,plain,
    quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,product(difference(quotient(c,b),quotient(a,c)),c))),c),difference(c,product(a,product(c,b)))) )],[refute_0_2637,refute_0_2643]) ).

cnf(refute_0_2645,plain,
    difference(c,difference(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c)) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(product(difference(quotient(c,b),quotient(a,c)),c)))]]) ).

cnf(refute_0_2646,plain,
    ( difference(c,difference(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c)) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | product(product(difference(quotient(c,b),quotient(a,c)),c),c) != product(a,product(c,b))
    | difference(c,difference(product(a,product(c,b)),c)) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c)),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) ),[0,1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_2647,plain,
    ( difference(c,difference(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c)) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | difference(c,difference(product(a,product(c,b)),c)) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(a,product(c,b))) )],[refute_0_2634,refute_0_2646]) ).

cnf(refute_0_2648,plain,
    difference(c,difference(product(a,product(c,b)),c)) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c)),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) )],[refute_0_2645,refute_0_2647]) ).

cnf(refute_0_2649,plain,
    difference(c,product(c,quotient(bigC(a,a,c),c))) = quotient(bigC(a,a,c),c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_2650,plain,
    quotient(product(product(product(b,c),a),c),c) = product(product(b,c),a),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(b,c),a))),bind(B,$fot(c))]]) ).

cnf(refute_0_2651,plain,
    quotient(quotient(c,product(c,product(b,product(a,product(a,c))))),c) = difference(c,product(product(b,product(a,product(a,c))),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_2652,plain,
    bigC(c,c,product(b,product(c,a))) = product(c,product(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(c)),bind(X_23,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_2653,plain,
    difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(b,product(c,a)))),bind(X_20,$fot(product(b,a)))]]) ).

cnf(refute_0_2654,plain,
    quotient(quotient(product(b,a),product(product(b,a),c)),product(b,a)) = difference(product(b,a),product(c,product(b,a))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(b,a))),bind(X_29,$fot(c))]]) ).

cnf(refute_0_2655,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | quotient(quotient(product(b,a),product(product(b,a),c)),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = difference(product(b,a),product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(product(b,a),c)),product(b,a)),difference(product(b,a),product(c,product(b,a)))) ),[0,0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_2656,plain,
    ( quotient(quotient(product(b,a),product(product(b,a),c)),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = difference(product(b,a),product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_2655]) ).

cnf(refute_0_2657,plain,
    quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = difference(product(b,a),product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(product(b,a),c)),product(b,a)),difference(product(b,a),product(c,product(b,a)))) )],[refute_0_2654,refute_0_2656]) ).

cnf(refute_0_2658,plain,
    quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)))]]) ).

cnf(refute_0_2659,plain,
    ( quotient(product(b,a),product(c,product(c,a))) != product(b,product(c,a))
    | quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) != quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a))
    | quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = quotient(product(b,product(c,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)),quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a))) ),[1,0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_2660,plain,
    ( quotient(product(b,a),product(c,product(c,a))) != product(b,product(c,a))
    | quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = quotient(product(b,product(c,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)),quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a))) )],[refute_0_2658,refute_0_2659]) ).

cnf(refute_0_2661,plain,
    quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) = quotient(product(b,product(c,a)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,product(c,a))),product(b,product(c,a))) )],[refute_0_2338,refute_0_2660]) ).

cnf(refute_0_2662,plain,
    ( quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) != quotient(product(b,product(c,a)),product(b,a))
    | quotient(product(b,product(c,a)),product(b,a)) = difference(product(b,a),product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)),difference(product(b,a),product(c,product(b,a)))) ),[0],$fot(quotient(product(b,product(c,a)),product(b,a)))]]) ).

cnf(refute_0_2663,plain,
    ( quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(product(b,product(c,a)),product(b,a)) = difference(product(b,a),product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)),quotient(product(b,product(c,a)),product(b,a))) )],[refute_0_2661,refute_0_2662]) ).

cnf(refute_0_2664,plain,
    difference(c,product(c,product(b,product(a,c)))) = product(b,product(a,c)),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_2665,plain,
    bigC(c,c,product(b,c)) = product(c,product(product(b,c),c)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(c)),bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_2666,plain,
    difference(a,product(a,product(product(b,c),c))) = product(product(b,c),c),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_2667,plain,
    bigC(product(a,c),c,product(a,c)) = product(product(product(a,c),c),product(a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_2668,plain,
    ( bigC(product(a,c),c,product(a,c)) != product(product(product(a,c),c),product(a,c))
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(a,c),c,product(a,c)) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),c,product(a,c)),product(product(product(a,c),c),product(a,c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_2669,plain,
    ( bigC(product(a,c),c,product(a,c)) != product(product(product(a,c),c),product(a,c))
    | bigC(product(a,c),c,product(a,c)) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_2668]) ).

cnf(refute_0_2670,plain,
    bigC(product(a,c),c,product(a,c)) = product(product(a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,c)),product(product(product(a,c),c),product(a,c))) )],[refute_0_2667,refute_0_2669]) ).

cnf(refute_0_2671,plain,
    product(bigC(a,a,c),product(c,c)) = product(bigC(a,a,c),product(c,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(c,c)))]]) ).

cnf(refute_0_2672,plain,
    ( product(bigC(a,a,c),product(c,c)) != product(bigC(a,a,c),product(c,c))
    | product(c,c) != c
    | product(bigC(a,a,c),product(c,c)) = product(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(c,c)),product(bigC(a,a,c),product(c,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2673,plain,
    ( product(c,c) != c
    | product(bigC(a,a,c),product(c,c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,c)),product(bigC(a,a,c),product(c,c))) )],[refute_0_2671,refute_0_2672]) ).

cnf(refute_0_2674,plain,
    product(bigC(a,a,c),product(c,c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_2673]) ).

cnf(refute_0_2675,plain,
    product(bigC(a,c,a),product(c,c)) = product(bigC(a,c,a),product(c,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(c,c)))]]) ).

cnf(refute_0_2676,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(c,c)) != product(bigC(a,c,a),product(c,c))
    | product(bigC(a,c,a),product(c,c)) = product(bigC(a,a,c),product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(c,c)),product(bigC(a,c,a),product(c,c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_2677,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(c,c)) = product(bigC(a,a,c),product(c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(c,c)),product(bigC(a,c,a),product(c,c))) )],[refute_0_2675,refute_0_2676]) ).

cnf(refute_0_2678,plain,
    product(bigC(a,c,a),product(c,c)) = product(bigC(a,a,c),product(c,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_2677]) ).

cnf(refute_0_2679,plain,
    ( product(bigC(a,a,c),product(c,c)) != product(bigC(a,a,c),c)
    | product(bigC(a,c,a),product(c,c)) != product(bigC(a,a,c),product(c,c))
    | product(bigC(a,c,a),product(c,c)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,a),product(c,c)))),bind(Y,$fot(product(bigC(a,a,c),product(c,c)))),bind(Z,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_2680,plain,
    ( product(bigC(a,a,c),product(c,c)) != product(bigC(a,a,c),c)
    | product(bigC(a,c,a),product(c,c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(c,c)),product(bigC(a,a,c),product(c,c))) )],[refute_0_2678,refute_0_2679]) ).

cnf(refute_0_2681,plain,
    product(bigC(a,c,a),product(c,c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,c)),product(bigC(a,a,c),c)) )],[refute_0_2674,refute_0_2680]) ).

cnf(refute_0_2682,plain,
    bigC(product(a,c),c,product(a,c)) = product(bigC(a,c,a),product(c,c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(c))]]) ).

cnf(refute_0_2683,plain,
    ( bigC(product(a,c),c,product(a,c)) != product(bigC(a,c,a),product(c,c))
    | product(bigC(a,c,a),product(c,c)) != product(bigC(a,a,c),c)
    | bigC(product(a,c),c,product(a,c)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),c,product(a,c)))),bind(Y,$fot(product(bigC(a,c,a),product(c,c)))),bind(Z,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_2684,plain,
    ( product(bigC(a,c,a),product(c,c)) != product(bigC(a,a,c),c)
    | bigC(product(a,c),c,product(a,c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,c)),product(bigC(a,c,a),product(c,c))) )],[refute_0_2682,refute_0_2683]) ).

cnf(refute_0_2685,plain,
    bigC(product(a,c),c,product(a,c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(c,c)),product(bigC(a,a,c),c)) )],[refute_0_2681,refute_0_2684]) ).

cnf(refute_0_2686,plain,
    ( bigC(product(a,c),c,product(a,c)) != product(bigC(a,a,c),c)
    | bigC(product(a,c),c,product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),c) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),c,product(a,c)),product(product(a,product(b,c)),product(a,c))) ),[0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_2687,plain,
    ( bigC(product(a,c),c,product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),c) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,c)),product(bigC(a,a,c),c)) )],[refute_0_2685,refute_0_2686]) ).

cnf(refute_0_2688,plain,
    product(product(a,a),product(product(b,c),c)) = product(product(a,a),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(b,c),c)))]]) ).

cnf(refute_0_2689,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),c)) != product(product(a,a),product(product(b,c),c))
    | product(product(a,a),product(product(b,c),c)) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(product(a,a),product(product(b,c),c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2690,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(product(a,a),product(product(b,c),c))) )],[refute_0_2688,refute_0_2689]) ).

cnf(refute_0_2691,plain,
    product(product(a,a),product(product(b,c),c)) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2690]) ).

cnf(refute_0_2692,plain,
    product(product(a,product(b,c)),product(a,c)) = product(product(a,a),product(product(b,c),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_2693,plain,
    ( product(product(a,a),product(product(b,c),c)) != product(a,product(product(b,c),c))
    | product(product(a,product(b,c)),product(a,c)) != product(product(a,a),product(product(b,c),c))
    | product(product(a,product(b,c)),product(a,c)) = product(a,product(product(b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(a,c)))),bind(Y,$fot(product(product(a,a),product(product(b,c),c)))),bind(Z,$fot(product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_2694,plain,
    ( product(product(a,a),product(product(b,c),c)) != product(a,product(product(b,c),c))
    | product(product(a,product(b,c)),product(a,c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(product(a,a),product(product(b,c),c))) )],[refute_0_2692,refute_0_2693]) ).

cnf(refute_0_2695,plain,
    product(product(a,product(b,c)),product(a,c)) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(a,product(product(b,c),c))) )],[refute_0_2691,refute_0_2694]) ).

cnf(refute_0_2696,plain,
    ( product(bigC(a,a,c),c) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | product(bigC(a,a,c),c) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),c),product(a,product(product(b,c),c))) ),[0],$fot(product(product(a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_2697,plain,
    ( product(bigC(a,a,c),c) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),c) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_2696]) ).

cnf(refute_0_2698,plain,
    ( bigC(product(a,c),c,product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),c) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),c),product(product(a,product(b,c)),product(a,c))) )],[refute_0_2687,refute_0_2697]) ).

cnf(refute_0_2699,plain,
    product(bigC(a,a,c),c) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,c)),product(product(a,product(b,c)),product(a,c))) )],[refute_0_2670,refute_0_2698]) ).

cnf(refute_0_2700,plain,
    ( product(bigC(a,a,c),c) != product(a,product(product(b,c),c))
    | product(a,product(product(b,c),c)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,c),c))),bind(Y,$fot(product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_2701,plain,
    product(a,product(product(b,c),c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),c),product(a,product(product(b,c),c))) )],[refute_0_2699,refute_0_2700]) ).

cnf(refute_0_2702,plain,
    ( difference(a,product(a,product(product(b,c),c))) != product(product(b,c),c)
    | product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(a,product(bigC(a,a,c),c)) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(b,c),c))),product(product(b,c),c)) ),[0,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_2703,plain,
    ( difference(a,product(a,product(product(b,c),c))) != product(product(b,c),c)
    | difference(a,product(bigC(a,a,c),c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_2702]) ).

cnf(refute_0_2704,plain,
    difference(a,product(bigC(a,a,c),c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(b,c),c))),product(product(b,c),c)) )],[refute_0_2666,refute_0_2703]) ).

cnf(refute_0_2705,plain,
    difference(a,product(a,product(b,product(a,c)))) = product(b,product(a,c)),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_2706,plain,
    product(product(a,b),product(X_23,product(a,c))) = product(product(a,X_23),product(b,product(a,c))),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(X_23)),bind(D,$fot(product(a,c)))]]) ).

cnf(refute_0_2707,plain,
    ( bigC(product(a,c),product(c,b),X_23) != product(product(a,b),product(X_23,product(a,c)))
    | product(product(a,b),product(X_23,product(a,c))) != product(product(a,X_23),product(b,product(a,c)))
    | bigC(product(a,c),product(c,b),X_23) = product(product(a,X_23),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),X_23),product(product(a,X_23),product(b,product(a,c)))) ),[0],$fot(product(product(a,b),product(X_23,product(a,c))))]]) ).

cnf(refute_0_2708,plain,
    ( bigC(product(a,c),product(c,b),X_23) != product(product(a,b),product(X_23,product(a,c)))
    | bigC(product(a,c),product(c,b),X_23) = product(product(a,X_23),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_23,product(a,c))),product(product(a,X_23),product(b,product(a,c)))) )],[refute_0_2706,refute_0_2707]) ).

cnf(refute_0_2709,plain,
    bigC(product(a,c),product(c,b),X_23) = product(product(a,X_23),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_23),product(product(a,b),product(X_23,product(a,c)))) )],[refute_0_94,refute_0_2708]) ).

cnf(refute_0_2710,plain,
    bigC(product(a,c),product(c,b),a) = product(product(a,a),product(b,product(a,c))),
    inference(subst,[],[refute_0_2709:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_2711,plain,
    ( bigC(product(a,c),product(c,b),a) != product(product(a,a),product(b,product(a,c)))
    | product(a,a) != a
    | bigC(product(a,c),product(c,b),a) = product(a,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),a),product(product(a,a),product(b,product(a,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2712,plain,
    ( bigC(product(a,c),product(c,b),a) != product(product(a,a),product(b,product(a,c)))
    | bigC(product(a,c),product(c,b),a) = product(a,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2711]) ).

cnf(refute_0_2713,plain,
    bigC(product(a,c),product(c,b),a) = product(a,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),a),product(product(a,a),product(b,product(a,c)))) )],[refute_0_2710,refute_0_2712]) ).

cnf(refute_0_2714,plain,
    bigC(product(a,c),product(c,b),a) = bigC(product(a,c),a,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_2715,plain,
    ( bigC(product(a,c),product(c,b),a) != bigC(product(a,c),a,product(c,b))
    | bigC(product(a,c),product(c,b),a) != product(a,product(b,product(a,c)))
    | bigC(product(a,c),a,product(c,b)) = product(a,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),a),product(a,product(b,product(a,c)))) ),[0],$fot(bigC(product(a,c),a,product(c,b)))]]) ).

cnf(refute_0_2716,plain,
    ( bigC(product(a,c),product(c,b),a) != product(a,product(b,product(a,c)))
    | bigC(product(a,c),a,product(c,b)) = product(a,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),a),bigC(product(a,c),a,product(c,b))) )],[refute_0_2714,refute_0_2715]) ).

cnf(refute_0_2717,plain,
    bigC(product(a,c),a,product(c,b)) = product(a,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),a),product(a,product(b,product(a,c)))) )],[refute_0_2713,refute_0_2716]) ).

cnf(refute_0_2718,plain,
    product(bigC(a,c,a),c) = product(bigC(a,c,a),c),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),c))]]) ).

cnf(refute_0_2719,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),c) != product(bigC(a,c,a),c)
    | product(bigC(a,c,a),c) = product(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),c),product(bigC(a,c,a),c)) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_2720,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),c) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),c),product(bigC(a,c,a),c)) )],[refute_0_2718,refute_0_2719]) ).

cnf(refute_0_2721,plain,
    product(bigC(a,c,a),c) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_2720]) ).

cnf(refute_0_2722,plain,
    bigC(product(a,c),product(C,a),product(a,b)) = product(product(product(a,c),product(C,a)),product(a,product(b,c))),
    inference(subst,[],[refute_0_369:[bind(X_42,$fot(product(C,a)))]]) ).

cnf(refute_0_2723,plain,
    bigC(a,c,C) = product(product(a,c),product(C,a)),
    inference(subst,[],[sos08:[bind(A,$fot(a)),bind(B,$fot(c))]]) ).

cnf(refute_0_2724,plain,
    ( bigC(a,c,C) != product(product(a,c),product(C,a))
    | product(product(a,c),product(C,a)) = bigC(a,c,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,c,C))),bind(Y,$fot(product(product(a,c),product(C,a))))]]) ).

cnf(refute_0_2725,plain,
    product(product(a,c),product(C,a)) = bigC(a,c,C),
    inference(resolve,[$cnf( $equal(bigC(a,c,C),product(product(a,c),product(C,a))) )],[refute_0_2723,refute_0_2724]) ).

cnf(refute_0_2726,plain,
    ( bigC(product(a,c),product(C,a),product(a,b)) != product(product(product(a,c),product(C,a)),product(a,product(b,c)))
    | product(product(a,c),product(C,a)) != bigC(a,c,C)
    | bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,c,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(C,a),product(a,b)),product(product(product(a,c),product(C,a)),product(a,product(b,c)))) ),[1,0],$fot(bigC(a,c,C))]]) ).

cnf(refute_0_2727,plain,
    ( bigC(product(a,c),product(C,a),product(a,b)) != product(product(product(a,c),product(C,a)),product(a,product(b,c)))
    | bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,c,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(C,a)),bigC(a,c,C)) )],[refute_0_2725,refute_0_2726]) ).

cnf(refute_0_2728,plain,
    bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,c,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(C,a),product(a,b)),product(product(product(a,c),product(C,a)),product(a,product(b,c)))) )],[refute_0_2722,refute_0_2727]) ).

cnf(refute_0_2729,plain,
    product(bigC(a,C,a),bigC(c,b,a)) = product(bigC(a,C,a),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,C,a),bigC(c,b,a)))]]) ).

cnf(refute_0_2730,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(a,C,a),bigC(c,b,a)) != product(bigC(a,C,a),bigC(c,b,a))
    | product(bigC(a,C,a),bigC(c,b,a)) = product(bigC(a,C,a),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,C,a),bigC(c,b,a)),product(bigC(a,C,a),bigC(c,b,a))) ),[1,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_2731,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(a,C,a),bigC(c,b,a)) = product(bigC(a,C,a),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),bigC(c,b,a)),product(bigC(a,C,a),bigC(c,b,a))) )],[refute_0_2729,refute_0_2730]) ).

cnf(refute_0_2732,plain,
    product(bigC(a,C,a),bigC(c,b,a)) = product(bigC(a,C,a),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_2731]) ).

cnf(refute_0_2733,plain,
    bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(product(product(a,c),product(X_65,X_66)),product(a,product(b,c))),
    inference(subst,[],[refute_0_369:[bind(X_42,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_2734,plain,
    product(product(a,c),product(X_65,X_66)) = product(product(a,X_65),product(c,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_2735,plain,
    ( bigC(product(a,c),product(X_65,X_66),product(a,b)) != product(product(product(a,c),product(X_65,X_66)),product(a,product(b,c)))
    | product(product(a,c),product(X_65,X_66)) != product(product(a,X_65),product(c,X_66))
    | bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(X_65,X_66),product(a,b)),product(product(product(a,c),product(X_65,X_66)),product(a,product(b,c)))) ),[1,0],$fot(product(product(a,X_65),product(c,X_66)))]]) ).

cnf(refute_0_2736,plain,
    ( bigC(product(a,c),product(X_65,X_66),product(a,b)) != product(product(product(a,c),product(X_65,X_66)),product(a,product(b,c)))
    | bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(X_65,X_66)),product(product(a,X_65),product(c,X_66))) )],[refute_0_2734,refute_0_2735]) ).

cnf(refute_0_2737,plain,
    bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(X_65,X_66),product(a,b)),product(product(product(a,c),product(X_65,X_66)),product(a,product(b,c)))) )],[refute_0_2733,refute_0_2736]) ).

cnf(refute_0_2738,plain,
    product(product(c,b),product(X_66,c)) = bigC(c,b,X_66),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(X_66))]]) ).

cnf(refute_0_2739,plain,
    product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))))]]) ).

cnf(refute_0_2740,plain,
    ( product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) != product(bigC(a,X_65,a),product(product(c,b),product(X_66,c)))
    | product(product(c,b),product(X_66,c)) != bigC(c,b,X_66)
    | product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))),product(bigC(a,X_65,a),product(product(c,b),product(X_66,c)))) ),[1,1],$fot(bigC(c,b,X_66))]]) ).

cnf(refute_0_2741,plain,
    ( product(product(c,b),product(X_66,c)) != bigC(c,b,X_66)
    | product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))),product(bigC(a,X_65,a),product(product(c,b),product(X_66,c)))) )],[refute_0_2739,refute_0_2740]) ).

cnf(refute_0_2742,plain,
    product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_66,c)),bigC(c,b,X_66)) )],[refute_0_2738,refute_0_2741]) ).

cnf(refute_0_2743,plain,
    product(product(a,X_65),a) = bigC(a,X_65,a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a)),bind(X_22,$fot(X_65))]]) ).

cnf(refute_0_2744,plain,
    product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))))]]) ).

cnf(refute_0_2745,plain,
    ( product(product(a,X_65),a) != bigC(a,X_65,a)
    | product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) != product(product(product(a,X_65),a),product(product(c,b),product(X_66,c)))
    | product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))),product(product(product(a,X_65),a),product(product(c,b),product(X_66,c)))) ),[1,0],$fot(bigC(a,X_65,a))]]) ).

cnf(refute_0_2746,plain,
    ( product(product(a,X_65),a) != bigC(a,X_65,a)
    | product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))),product(product(product(a,X_65),a),product(product(c,b),product(X_66,c)))) )],[refute_0_2744,refute_0_2745]) ).

cnf(refute_0_2747,plain,
    product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))),
    inference(resolve,[$cnf( $equal(product(product(a,X_65),a),bigC(a,X_65,a)) )],[refute_0_2743,refute_0_2746]) ).

cnf(refute_0_2748,plain,
    ( product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) != product(bigC(a,X_65,a),bigC(c,b,X_66))
    | product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) != product(bigC(a,X_65,a),product(product(c,b),product(X_66,c)))
    | product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))))),bind(Y,$fot(product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))))),bind(Z,$fot(product(bigC(a,X_65,a),bigC(c,b,X_66))))]]) ).

cnf(refute_0_2749,plain,
    ( product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))) != product(bigC(a,X_65,a),bigC(c,b,X_66))
    | product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))),product(bigC(a,X_65,a),product(product(c,b),product(X_66,c)))) )],[refute_0_2747,refute_0_2748]) ).

cnf(refute_0_2750,plain,
    product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)),
    inference(resolve,[$cnf( $equal(product(bigC(a,X_65,a),product(product(c,b),product(X_66,c))),product(bigC(a,X_65,a),bigC(c,b,X_66))) )],[refute_0_2742,refute_0_2749]) ).

cnf(refute_0_2751,plain,
    product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) = product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))),
    inference(subst,[],[refute_0_1192:[bind(A,$fot(product(a,X_65))),bind(C,$fot(a)),bind(X_63,$fot(c)),bind(X_64,$fot(X_66)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_2752,plain,
    ( product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) != product(bigC(a,X_65,a),bigC(c,b,X_66))
    | product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) != product(product(product(a,X_65),a),product(product(c,b),product(X_66,c)))
    | product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))))),bind(Z,$fot(product(bigC(a,X_65,a),bigC(c,b,X_66))))]]) ).

cnf(refute_0_2753,plain,
    ( product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))) != product(bigC(a,X_65,a),bigC(c,b,X_66))
    | product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))),product(product(product(a,X_65),a),product(product(c,b),product(X_66,c)))) )],[refute_0_2751,refute_0_2752]) ).

cnf(refute_0_2754,plain,
    product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) = product(bigC(a,X_65,a),bigC(c,b,X_66)),
    inference(resolve,[$cnf( $equal(product(product(product(a,X_65),a),product(product(c,b),product(X_66,c))),product(bigC(a,X_65,a),bigC(c,b,X_66))) )],[refute_0_2750,refute_0_2753]) ).

cnf(refute_0_2755,plain,
    ( bigC(product(a,c),product(X_65,X_66),product(a,b)) != product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c)))
    | product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))) != product(bigC(a,X_65,a),bigC(c,b,X_66))
    | bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(X_65,X_66),product(a,b)),product(bigC(a,X_65,a),bigC(c,b,X_66))) ),[0],$fot(product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))))]]) ).

cnf(refute_0_2756,plain,
    ( bigC(product(a,c),product(X_65,X_66),product(a,b)) != product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c)))
    | bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(bigC(a,X_65,a),bigC(c,b,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c))),product(bigC(a,X_65,a),bigC(c,b,X_66))) )],[refute_0_2754,refute_0_2755]) ).

cnf(refute_0_2757,plain,
    bigC(product(a,c),product(X_65,X_66),product(a,b)) = product(bigC(a,X_65,a),bigC(c,b,X_66)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(X_65,X_66),product(a,b)),product(product(product(a,X_65),product(c,X_66)),product(a,product(b,c)))) )],[refute_0_2737,refute_0_2756]) ).

cnf(refute_0_2758,plain,
    bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,C,a),bigC(c,b,a)),
    inference(subst,[],[refute_0_2757:[bind(X_65,$fot(C)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_2759,plain,
    ( bigC(product(a,c),product(C,a),product(a,b)) != product(bigC(a,C,a),bigC(c,b,a))
    | product(bigC(a,C,a),bigC(c,b,a)) != product(bigC(a,C,a),bigC(c,a,b))
    | bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,C,a),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(C,a),product(a,b)))),bind(Y,$fot(product(bigC(a,C,a),bigC(c,b,a)))),bind(Z,$fot(product(bigC(a,C,a),bigC(c,a,b))))]]) ).

cnf(refute_0_2760,plain,
    ( product(bigC(a,C,a),bigC(c,b,a)) != product(bigC(a,C,a),bigC(c,a,b))
    | bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,C,a),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(C,a),product(a,b)),product(bigC(a,C,a),bigC(c,b,a))) )],[refute_0_2758,refute_0_2759]) ).

cnf(refute_0_2761,plain,
    bigC(product(a,c),product(C,a),product(a,b)) = product(bigC(a,C,a),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),bigC(c,b,a)),product(bigC(a,C,a),bigC(c,a,b))) )],[refute_0_2732,refute_0_2760]) ).

cnf(refute_0_2762,plain,
    ( bigC(product(a,c),product(C,a),product(a,b)) != product(bigC(a,C,a),bigC(c,a,b))
    | bigC(product(a,c),product(C,a),product(a,b)) != product(bigC(a,c,C),product(a,product(b,c)))
    | product(bigC(a,C,a),bigC(c,a,b)) = product(bigC(a,c,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(C,a),product(a,b)),product(bigC(a,c,C),product(a,product(b,c)))) ),[0],$fot(product(bigC(a,C,a),bigC(c,a,b)))]]) ).

cnf(refute_0_2763,plain,
    ( bigC(product(a,c),product(C,a),product(a,b)) != product(bigC(a,c,C),product(a,product(b,c)))
    | product(bigC(a,C,a),bigC(c,a,b)) = product(bigC(a,c,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(C,a),product(a,b)),product(bigC(a,C,a),bigC(c,a,b))) )],[refute_0_2761,refute_0_2762]) ).

cnf(refute_0_2764,plain,
    product(bigC(a,c,C),product(a,product(b,c))) = bigC(product(a,c),a,product(C,b)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(a)),bind(X_63,$fot(C)),bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_2765,plain,
    ( product(bigC(a,C,a),bigC(c,a,b)) != product(bigC(a,c,C),product(a,product(b,c)))
    | product(bigC(a,c,C),product(a,product(b,c))) != bigC(product(a,c),a,product(C,b))
    | product(bigC(a,C,a),bigC(c,a,b)) = bigC(product(a,c),a,product(C,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,C,a),bigC(c,a,b)),bigC(product(a,c),a,product(C,b))) ),[0],$fot(product(bigC(a,c,C),product(a,product(b,c))))]]) ).

cnf(refute_0_2766,plain,
    ( product(bigC(a,C,a),bigC(c,a,b)) != product(bigC(a,c,C),product(a,product(b,c)))
    | product(bigC(a,C,a),bigC(c,a,b)) = bigC(product(a,c),a,product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,C),product(a,product(b,c))),bigC(product(a,c),a,product(C,b))) )],[refute_0_2764,refute_0_2765]) ).

cnf(refute_0_2767,plain,
    ( bigC(product(a,c),product(C,a),product(a,b)) != product(bigC(a,c,C),product(a,product(b,c)))
    | product(bigC(a,C,a),bigC(c,a,b)) = bigC(product(a,c),a,product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),bigC(c,a,b)),product(bigC(a,c,C),product(a,product(b,c)))) )],[refute_0_2763,refute_0_2766]) ).

cnf(refute_0_2768,plain,
    product(bigC(a,C,a),bigC(c,a,b)) = bigC(product(a,c),a,product(C,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(C,a),product(a,b)),product(bigC(a,c,C),product(a,product(b,c)))) )],[refute_0_2728,refute_0_2767]) ).

cnf(refute_0_2769,plain,
    product(bigC(a,C,a),bigC(c,a,b)) = product(bigC(a,C,a),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,C,a),bigC(c,a,b)))]]) ).

cnf(refute_0_2770,plain,
    ( bigC(c,a,b) != c
    | product(bigC(a,C,a),bigC(c,a,b)) != product(bigC(a,C,a),bigC(c,a,b))
    | product(bigC(a,C,a),bigC(c,a,b)) = product(bigC(a,C,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,C,a),bigC(c,a,b)),product(bigC(a,C,a),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_2771,plain,
    ( bigC(c,a,b) != c
    | product(bigC(a,C,a),bigC(c,a,b)) = product(bigC(a,C,a),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),bigC(c,a,b)),product(bigC(a,C,a),bigC(c,a,b))) )],[refute_0_2769,refute_0_2770]) ).

cnf(refute_0_2772,plain,
    product(bigC(a,C,a),bigC(c,a,b)) = product(bigC(a,C,a),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_2771]) ).

cnf(refute_0_2773,plain,
    ( product(bigC(a,C,a),bigC(c,a,b)) != bigC(product(a,c),a,product(C,b))
    | product(bigC(a,C,a),bigC(c,a,b)) != product(bigC(a,C,a),c)
    | product(bigC(a,C,a),c) = bigC(product(a,c),a,product(C,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,C,a),bigC(c,a,b)),bigC(product(a,c),a,product(C,b))) ),[0],$fot(product(bigC(a,C,a),c))]]) ).

cnf(refute_0_2774,plain,
    ( product(bigC(a,C,a),bigC(c,a,b)) != bigC(product(a,c),a,product(C,b))
    | product(bigC(a,C,a),c) = bigC(product(a,c),a,product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),bigC(c,a,b)),product(bigC(a,C,a),c)) )],[refute_0_2772,refute_0_2773]) ).

cnf(refute_0_2775,plain,
    product(bigC(a,C,a),c) = bigC(product(a,c),a,product(C,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),bigC(c,a,b)),bigC(product(a,c),a,product(C,b))) )],[refute_0_2768,refute_0_2774]) ).

cnf(refute_0_2776,plain,
    ( product(bigC(a,C,a),c) != bigC(product(a,c),a,product(C,b))
    | bigC(product(a,c),a,product(C,b)) = product(bigC(a,C,a),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,C,a),c))),bind(Y,$fot(bigC(product(a,c),a,product(C,b))))]]) ).

cnf(refute_0_2777,plain,
    bigC(product(a,c),a,product(C,b)) = product(bigC(a,C,a),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,C,a),c),bigC(product(a,c),a,product(C,b))) )],[refute_0_2775,refute_0_2776]) ).

cnf(refute_0_2778,plain,
    bigC(product(a,c),a,product(c,b)) = product(bigC(a,c,a),c),
    inference(subst,[],[refute_0_2777:[bind(C,$fot(c))]]) ).

cnf(refute_0_2779,plain,
    ( bigC(product(a,c),a,product(c,b)) != product(bigC(a,c,a),c)
    | product(bigC(a,c,a),c) != product(bigC(a,a,c),c)
    | bigC(product(a,c),a,product(c,b)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),a,product(c,b)))),bind(Y,$fot(product(bigC(a,c,a),c))),bind(Z,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_2780,plain,
    ( product(bigC(a,c,a),c) != product(bigC(a,a,c),c)
    | bigC(product(a,c),a,product(c,b)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),a,product(c,b)),product(bigC(a,c,a),c)) )],[refute_0_2778,refute_0_2779]) ).

cnf(refute_0_2781,plain,
    bigC(product(a,c),a,product(c,b)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),c),product(bigC(a,a,c),c)) )],[refute_0_2721,refute_0_2780]) ).

cnf(refute_0_2782,plain,
    ( bigC(product(a,c),a,product(c,b)) != product(a,product(b,product(a,c)))
    | bigC(product(a,c),a,product(c,b)) != product(bigC(a,a,c),c)
    | product(bigC(a,a,c),c) = product(a,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),a,product(c,b)),product(a,product(b,product(a,c)))) ),[0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_2783,plain,
    ( bigC(product(a,c),a,product(c,b)) != product(a,product(b,product(a,c)))
    | product(bigC(a,a,c),c) = product(a,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),a,product(c,b)),product(bigC(a,a,c),c)) )],[refute_0_2781,refute_0_2782]) ).

cnf(refute_0_2784,plain,
    product(bigC(a,a,c),c) = product(a,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),a,product(c,b)),product(a,product(b,product(a,c)))) )],[refute_0_2717,refute_0_2783]) ).

cnf(refute_0_2785,plain,
    ( product(bigC(a,a,c),c) != product(a,product(b,product(a,c)))
    | product(a,product(b,product(a,c))) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,c),c))),bind(Y,$fot(product(a,product(b,product(a,c)))))]]) ).

cnf(refute_0_2786,plain,
    product(a,product(b,product(a,c))) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),c),product(a,product(b,product(a,c)))) )],[refute_0_2784,refute_0_2785]) ).

cnf(refute_0_2787,plain,
    ( difference(a,product(a,product(b,product(a,c)))) != product(b,product(a,c))
    | product(a,product(b,product(a,c))) != product(bigC(a,a,c),c)
    | difference(a,product(bigC(a,a,c),c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(b,product(a,c)))),product(b,product(a,c))) ),[0,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_2788,plain,
    ( difference(a,product(a,product(b,product(a,c)))) != product(b,product(a,c))
    | difference(a,product(bigC(a,a,c),c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(a,c))),product(bigC(a,a,c),c)) )],[refute_0_2786,refute_0_2787]) ).

cnf(refute_0_2789,plain,
    difference(a,product(bigC(a,a,c),c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(b,product(a,c)))),product(b,product(a,c))) )],[refute_0_2705,refute_0_2788]) ).

cnf(refute_0_2790,plain,
    ( difference(a,product(bigC(a,a,c),c)) != product(b,product(a,c))
    | difference(a,product(bigC(a,a,c),c)) != product(product(b,c),c)
    | product(b,product(a,c)) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(bigC(a,a,c),c)),product(product(b,c),c)) ),[0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_2791,plain,
    ( difference(a,product(bigC(a,a,c),c)) != product(product(b,c),c)
    | product(b,product(a,c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(a,product(bigC(a,a,c),c)),product(b,product(a,c))) )],[refute_0_2789,refute_0_2790]) ).

cnf(refute_0_2792,plain,
    product(b,product(a,c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(a,product(bigC(a,a,c),c)),product(product(b,c),c)) )],[refute_0_2704,refute_0_2791]) ).

cnf(refute_0_2793,plain,
    ( product(b,product(a,c)) != product(product(b,c),c)
    | product(product(b,c),c) = product(b,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(a,c)))),bind(Y,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_2794,plain,
    product(product(b,c),c) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(b,product(a,c)),product(product(b,c),c)) )],[refute_0_2792,refute_0_2793]) ).

cnf(refute_0_2795,plain,
    ( bigC(c,c,product(b,c)) != product(c,product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(c,c,product(b,c)) = product(c,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(b,c)),product(c,product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_2796,plain,
    ( bigC(c,c,product(b,c)) != product(c,product(product(b,c),c))
    | bigC(c,c,product(b,c)) = product(c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_2795]) ).

cnf(refute_0_2797,plain,
    bigC(c,c,product(b,c)) = product(c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(c,product(product(b,c),c))) )],[refute_0_2665,refute_0_2796]) ).

cnf(refute_0_2798,plain,
    product(bigC(c,c,b),c) = product(bigC(c,c,b),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,b),c))]]) ).

cnf(refute_0_2799,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(c,c,b),c) != product(bigC(c,c,b),c)
    | product(bigC(c,c,b),c) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,b),c),product(bigC(c,c,b),c)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_2800,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(bigC(c,c,b),c) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),c),product(bigC(c,c,b),c)) )],[refute_0_2798,refute_0_2799]) ).

cnf(refute_0_2801,plain,
    product(bigC(c,c,b),c) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(b,a,b)) )],[refute_0_633,refute_0_2800]) ).

cnf(refute_0_2802,plain,
    bigC(c,c,product(b,c)) = product(bigC(c,c,b),c),
    inference(subst,[],[refute_0_1611:[bind(X_21,$fot(c)),bind(X_84,$fot(b))]]) ).

cnf(refute_0_2803,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,c,b),c)
    | product(bigC(c,c,b),c) != product(bigC(b,a,b),c)
    | bigC(c,c,product(b,c)) = product(bigC(b,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,product(b,c)))),bind(Y,$fot(product(bigC(c,c,b),c))),bind(Z,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2804,plain,
    ( product(bigC(c,c,b),c) != product(bigC(b,a,b),c)
    | bigC(c,c,product(b,c)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(bigC(c,c,b),c)) )],[refute_0_2802,refute_0_2803]) ).

cnf(refute_0_2805,plain,
    bigC(c,c,product(b,c)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),c),product(bigC(b,a,b),c)) )],[refute_0_2801,refute_0_2804]) ).

cnf(refute_0_2806,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(b,a,b),c)
    | bigC(c,c,product(b,c)) != product(c,product(b,product(a,c)))
    | product(bigC(b,a,b),c) = product(c,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(b,c)),product(c,product(b,product(a,c)))) ),[0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_2807,plain,
    ( bigC(c,c,product(b,c)) != product(c,product(b,product(a,c)))
    | product(bigC(b,a,b),c) = product(c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_2805,refute_0_2806]) ).

cnf(refute_0_2808,plain,
    product(bigC(b,a,b),c) = product(c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(c,product(b,product(a,c)))) )],[refute_0_2797,refute_0_2807]) ).

cnf(refute_0_2809,plain,
    ( product(bigC(b,a,b),c) != product(c,product(b,product(a,c)))
    | product(c,product(b,product(a,c))) = product(bigC(b,a,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,a,b),c))),bind(Y,$fot(product(c,product(b,product(a,c)))))]]) ).

cnf(refute_0_2810,plain,
    product(c,product(b,product(a,c))) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),product(c,product(b,product(a,c)))) )],[refute_0_2808,refute_0_2809]) ).

cnf(refute_0_2811,plain,
    ( difference(c,product(c,product(b,product(a,c)))) != product(b,product(a,c))
    | product(c,product(b,product(a,c))) != product(bigC(b,a,b),c)
    | difference(c,product(bigC(b,a,b),c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(b,product(a,c)))),product(b,product(a,c))) ),[0,1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_2812,plain,
    ( difference(c,product(c,product(b,product(a,c)))) != product(b,product(a,c))
    | difference(c,product(bigC(b,a,b),c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,c))),product(bigC(b,a,b),c)) )],[refute_0_2810,refute_0_2811]) ).

cnf(refute_0_2813,plain,
    difference(c,product(bigC(b,a,b),c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(b,product(a,c)))),product(b,product(a,c))) )],[refute_0_2664,refute_0_2812]) ).

cnf(refute_0_2814,plain,
    difference(c,product(c,product(c,product(b,a)))) = product(c,product(b,a)),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_2815,plain,
    ( difference(c,product(c,product(c,product(b,a)))) != product(c,product(b,a))
    | product(c,product(c,product(b,a))) != bigC(product(c,a),b,c)
    | difference(c,bigC(product(c,a),b,c)) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(c,product(b,a)))),product(c,product(b,a))) ),[0,1],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_2816,plain,
    ( difference(c,product(c,product(c,product(b,a)))) != product(c,product(b,a))
    | difference(c,bigC(product(c,a),b,c)) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(b,a))),bigC(product(c,a),b,c)) )],[refute_0_1523,refute_0_2815]) ).

cnf(refute_0_2817,plain,
    difference(c,bigC(product(c,a),b,c)) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(c,product(b,a)))),product(c,product(b,a))) )],[refute_0_2814,refute_0_2816]) ).

cnf(refute_0_2818,plain,
    difference(c,bigC(product(c,a),b,c)) = difference(c,bigC(product(c,a),b,c)),
    introduced(tautology,[refl,[$fot(difference(c,bigC(product(c,a),b,c)))]]) ).

cnf(refute_0_2819,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | difference(c,bigC(product(c,a),b,c)) != difference(c,bigC(product(c,a),b,c))
    | difference(c,bigC(product(c,a),b,c)) = difference(c,bigC(a,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(product(c,a),b,c)),difference(c,bigC(product(c,a),b,c))) ),[1,1],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_2820,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | difference(c,bigC(product(c,a),b,c)) = difference(c,bigC(a,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(product(c,a),b,c)),difference(c,bigC(product(c,a),b,c))) )],[refute_0_2818,refute_0_2819]) ).

cnf(refute_0_2821,plain,
    difference(c,bigC(product(c,a),b,c)) = difference(c,bigC(a,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_2820]) ).

cnf(refute_0_2822,plain,
    ( difference(c,bigC(product(c,a),b,c)) != difference(c,bigC(a,b,product(b,c)))
    | difference(c,bigC(product(c,a),b,c)) != product(c,product(b,a))
    | difference(c,bigC(a,b,product(b,c))) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(product(c,a),b,c)),product(c,product(b,a))) ),[0],$fot(difference(c,bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_2823,plain,
    ( difference(c,bigC(product(c,a),b,c)) != product(c,product(b,a))
    | difference(c,bigC(a,b,product(b,c))) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(product(c,a),b,c)),difference(c,bigC(a,b,product(b,c)))) )],[refute_0_2821,refute_0_2822]) ).

cnf(refute_0_2824,plain,
    difference(c,bigC(a,b,product(b,c))) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(product(c,a),b,c)),product(c,product(b,a))) )],[refute_0_2817,refute_0_2823]) ).

cnf(refute_0_2825,plain,
    difference(c,bigC(a,b,product(b,c))) = difference(c,bigC(a,b,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(c,bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_2826,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | difference(c,bigC(a,b,product(b,c))) != difference(c,bigC(a,b,product(b,c)))
    | difference(c,bigC(a,b,product(b,c))) = difference(c,product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,b,product(b,c))),difference(c,bigC(a,b,product(b,c)))) ),[1,1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_2827,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | difference(c,bigC(a,b,product(b,c))) = difference(c,product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(b,c))),difference(c,bigC(a,b,product(b,c)))) )],[refute_0_2825,refute_0_2826]) ).

cnf(refute_0_2828,plain,
    difference(c,bigC(a,b,product(b,c))) = difference(c,product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_1889,refute_0_2827]) ).

cnf(refute_0_2829,plain,
    ( difference(c,bigC(a,b,product(b,c))) != difference(c,product(bigC(b,a,b),c))
    | difference(c,bigC(a,b,product(b,c))) != product(c,product(b,a))
    | difference(c,product(bigC(b,a,b),c)) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,b,product(b,c))),product(c,product(b,a))) ),[0],$fot(difference(c,product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_2830,plain,
    ( difference(c,bigC(a,b,product(b,c))) != product(c,product(b,a))
    | difference(c,product(bigC(b,a,b),c)) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(b,c))),difference(c,product(bigC(b,a,b),c))) )],[refute_0_2828,refute_0_2829]) ).

cnf(refute_0_2831,plain,
    difference(c,product(bigC(b,a,b),c)) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(b,c))),product(c,product(b,a))) )],[refute_0_2824,refute_0_2830]) ).

cnf(refute_0_2832,plain,
    ( difference(c,product(bigC(b,a,b),c)) != product(b,product(a,c))
    | difference(c,product(bigC(b,a,b),c)) != product(c,product(b,a))
    | product(c,product(b,a)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(bigC(b,a,b),c)),product(b,product(a,c))) ),[0],$fot(product(c,product(b,a)))]]) ).

cnf(refute_0_2833,plain,
    ( difference(c,product(bigC(b,a,b),c)) != product(b,product(a,c))
    | product(c,product(b,a)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(bigC(b,a,b),c)),product(c,product(b,a))) )],[refute_0_2831,refute_0_2832]) ).

cnf(refute_0_2834,plain,
    product(c,product(b,a)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(bigC(b,a,b),c)),product(b,product(a,c))) )],[refute_0_2813,refute_0_2833]) ).

cnf(refute_0_2835,plain,
    difference(product(b,a),product(c,product(b,a))) = difference(product(b,a),product(c,product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),product(c,product(b,a))))]]) ).

cnf(refute_0_2836,plain,
    ( difference(product(b,a),product(c,product(b,a))) != difference(product(b,a),product(c,product(b,a)))
    | product(c,product(b,a)) != product(b,product(a,c))
    | difference(product(b,a),product(c,product(b,a))) = difference(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(c,product(b,a))),difference(product(b,a),product(c,product(b,a)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_2837,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | difference(product(b,a),product(c,product(b,a))) = difference(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(c,product(b,a))),difference(product(b,a),product(c,product(b,a)))) )],[refute_0_2835,refute_0_2836]) ).

cnf(refute_0_2838,plain,
    difference(product(b,a),product(c,product(b,a))) = difference(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_2837]) ).

cnf(refute_0_2839,plain,
    ( difference(product(b,a),product(c,product(b,a))) != difference(product(b,a),product(b,product(a,c)))
    | quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(product(b,product(c,a)),product(b,a)) = difference(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(c,product(b,a)))) ),[1],$fot(difference(product(b,a),product(b,product(a,c))))]]) ).

cnf(refute_0_2840,plain,
    ( quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(product(b,product(c,a)),product(b,a)) = difference(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(c,product(b,a))),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2838,refute_0_2839]) ).

cnf(refute_0_2841,plain,
    ( quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)) != difference(product(b,a),product(c,product(b,a)))
    | quotient(product(b,product(c,a)),product(b,a)) = difference(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(c,product(b,a)))) )],[refute_0_2663,refute_0_2840]) ).

cnf(refute_0_2842,plain,
    quotient(product(b,product(c,a)),product(b,a)) = difference(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(c,product(c,a))),product(b,a)),difference(product(b,a),product(c,product(b,a)))) )],[refute_0_2657,refute_0_2841]) ).

cnf(refute_0_2843,plain,
    difference(product(c,b),product(product(c,b),difference(product(b,a),product(b,product(a,c))))) = difference(product(b,a),product(b,product(a,c))),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_2844,plain,
    difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = product(difference(product(b,a),c),difference(product(b,a),product(c,product(b,a)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(c)),bind(X_32,$fot(product(b,a)))]]) ).

cnf(refute_0_2845,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != product(difference(product(b,a),c),difference(product(b,a),product(c,product(b,a))))
    | product(c,product(b,a)) != product(b,product(a,c))
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),product(difference(product(b,a),c),difference(product(b,a),product(c,product(b,a))))) ),[1,1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_2846,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != product(difference(product(b,a),c),difference(product(b,a),product(c,product(b,a))))
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_2845]) ).

cnf(refute_0_2847,plain,
    difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),product(difference(product(b,a),c),difference(product(b,a),product(c,product(b,a))))) )],[refute_0_2844,refute_0_2846]) ).

cnf(refute_0_2848,plain,
    difference(product(product(b,c),c),product(product(product(b,c),c),bigC(b,b,c))) = bigC(b,b,c),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(b,c),c))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_2849,plain,
    difference(product(b,product(b,c)),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) = product(product(product(b,c),c),bigC(b,b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(b,product(b,c)))),bind(B,$fot(product(product(product(b,c),c),bigC(b,b,c))))]]) ).

cnf(refute_0_2850,plain,
    quotient(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))))),bind(B,$fot(c))]]) ).

cnf(refute_0_2851,plain,
    difference(a,product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)))]]) ).

cnf(refute_0_2852,plain,
    product(product(product(a,product(product(b,product(b,c)),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),
    inference(subst,[],[refute_0_2356:[bind(B,$fot(product(a,product(product(b,product(b,c)),c)))),bind(X_15,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2853,plain,
    difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) = product(product(a,product(b,c)),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(bigC(c,a,b))),bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2854,plain,
    difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,b,c)),product(a,product(b,c))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(a,bigC(c,b,c)))),bind(X_20,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2855,plain,
    quotient(product(a,bigC(c,c,b)),difference(product(a,c),product(a,bigC(c,c,b)))) = product(a,c),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,bigC(c,c,b)))),bind(X_6,$fot(product(a,c)))]]) ).

cnf(refute_0_2856,plain,
    difference(product(a,c),bigC(product(a,c),product(a,c),product(a,b))) = product(product(a,b),product(a,c)),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(product(a,c))),bind(X_37,$fot(product(a,b)))]]) ).

cnf(refute_0_2857,plain,
    ( bigC(product(a,c),product(a,c),product(a,b)) != product(a,bigC(c,c,b))
    | difference(product(a,c),bigC(product(a,c),product(a,c),product(a,b))) != product(product(a,b),product(a,c))
    | difference(product(a,c),product(a,bigC(c,c,b))) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(a,c),product(a,c),product(a,b))),product(product(a,b),product(a,c))) ),[0,1],$fot(product(a,bigC(c,c,b)))]]) ).

cnf(refute_0_2858,plain,
    ( difference(product(a,c),bigC(product(a,c),product(a,c),product(a,b))) != product(product(a,b),product(a,c))
    | difference(product(a,c),product(a,bigC(c,c,b))) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(a,b)),product(a,bigC(c,c,b))) )],[refute_0_2128,refute_0_2857]) ).

cnf(refute_0_2859,plain,
    difference(product(a,c),product(a,bigC(c,c,b))) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(a,c),product(a,c),product(a,b))),product(product(a,b),product(a,c))) )],[refute_0_2856,refute_0_2858]) ).

cnf(refute_0_2860,plain,
    ( difference(product(a,c),product(a,bigC(c,c,b))) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | difference(product(a,c),product(a,bigC(c,c,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),product(a,bigC(c,c,b))),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_2861,plain,
    ( difference(product(a,c),product(a,bigC(c,c,b))) != product(product(a,b),product(a,c))
    | difference(product(a,c),product(a,bigC(c,c,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_2860]) ).

cnf(refute_0_2862,plain,
    difference(product(a,c),product(a,bigC(c,c,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,bigC(c,c,b))),product(product(a,b),product(a,c))) )],[refute_0_2859,refute_0_2861]) ).

cnf(refute_0_2863,plain,
    ( difference(product(a,c),product(a,bigC(c,c,b))) != product(a,product(b,c))
    | quotient(product(a,bigC(c,c,b)),difference(product(a,c),product(a,bigC(c,c,b)))) != product(a,c)
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),difference(product(a,c),product(a,bigC(c,c,b)))),product(a,c)) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_2864,plain,
    ( quotient(product(a,bigC(c,c,b)),difference(product(a,c),product(a,bigC(c,c,b)))) != product(a,c)
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,bigC(c,c,b))),product(a,product(b,c))) )],[refute_0_2862,refute_0_2863]) ).

cnf(refute_0_2865,plain,
    quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),difference(product(a,c),product(a,bigC(c,c,b)))),product(a,c)) )],[refute_0_2855,refute_0_2864]) ).

cnf(refute_0_2866,plain,
    quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))))]]) ).

cnf(refute_0_2867,plain,
    ( product(a,bigC(c,c,b)) != product(a,bigC(c,b,c))
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) != quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = quotient(product(a,bigC(c,b,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))) ),[1,0],$fot(product(a,bigC(c,b,c)))]]) ).

cnf(refute_0_2868,plain,
    ( product(a,bigC(c,c,b)) != product(a,bigC(c,b,c))
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = quotient(product(a,bigC(c,b,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))) )],[refute_0_2866,refute_0_2867]) ).

cnf(refute_0_2869,plain,
    quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) = quotient(product(a,bigC(c,b,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,c,b)),product(a,bigC(c,b,c))) )],[refute_0_2135,refute_0_2868]) ).

cnf(refute_0_2870,plain,
    ( quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) != product(a,c)
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) != quotient(product(a,bigC(c,b,c)),product(a,product(b,c)))
    | quotient(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,c)) ),[0],$fot(quotient(product(a,bigC(c,b,c)),product(a,product(b,c))))]]) ).

cnf(refute_0_2871,plain,
    ( quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) != product(a,c)
    | quotient(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),quotient(product(a,bigC(c,b,c)),product(a,product(b,c)))) )],[refute_0_2869,refute_0_2870]) ).

cnf(refute_0_2872,plain,
    quotient(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,c)) )],[refute_0_2865,refute_0_2871]) ).

cnf(refute_0_2873,plain,
    ( difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,b,c)),product(a,product(b,c)))))
    | quotient(product(a,bigC(c,b,c)),product(a,product(b,c))) != product(a,c)
    | difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,b,c)),product(a,product(b,c)))))) ),[1,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2874,plain,
    ( difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,b,c)),product(a,product(b,c)))))
    | difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,c)) )],[refute_0_2872,refute_0_2873]) ).

cnf(refute_0_2875,plain,
    difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,b,c)),product(a,product(b,c)))))) )],[refute_0_2854,refute_0_2874]) ).

cnf(refute_0_2876,plain,
    product(product(a,a),product(bigC(c,b,c),product(b,c))) = product(product(a,a),product(bigC(c,b,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_2877,plain,
    ( product(a,a) != a
    | product(product(a,a),product(bigC(c,b,c),product(b,c))) != product(product(a,a),product(bigC(c,b,c),product(b,c)))
    | product(product(a,a),product(bigC(c,b,c),product(b,c))) = product(a,product(bigC(c,b,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(product(a,a),product(bigC(c,b,c),product(b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2878,plain,
    ( product(a,a) != a
    | product(product(a,a),product(bigC(c,b,c),product(b,c))) = product(a,product(bigC(c,b,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(product(a,a),product(bigC(c,b,c),product(b,c)))) )],[refute_0_2876,refute_0_2877]) ).

cnf(refute_0_2879,plain,
    product(product(a,a),product(bigC(c,b,c),product(b,c))) = product(a,product(bigC(c,b,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2878]) ).

cnf(refute_0_2880,plain,
    difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_2881,plain,
    ( difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))
    | product(product(a,a),product(bigC(c,b,c),product(b,c))) != product(a,product(bigC(c,b,c),product(b,c)))
    | difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) ),[1,0],$fot(product(a,product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_2882,plain,
    ( product(product(a,a),product(bigC(c,b,c),product(b,c))) != product(a,product(bigC(c,b,c),product(b,c)))
    | difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) )],[refute_0_2880,refute_0_2881]) ).

cnf(refute_0_2883,plain,
    difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(bigC(c,b,c),product(b,c)))) )],[refute_0_2879,refute_0_2882]) ).

cnf(refute_0_2884,plain,
    difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(a)),bind(X_64,$fot(bigC(c,b,c))),bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c)))]]) ).

cnf(refute_0_2885,plain,
    ( difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))
    | difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))
    | difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))))),bind(Y,$fot(difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))))),bind(Z,$fot(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))))]]) ).

cnf(refute_0_2886,plain,
    ( difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))
    | difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))),difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) )],[refute_0_2884,refute_0_2885]) ).

cnf(refute_0_2887,plain,
    difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) )],[refute_0_2883,refute_0_2886]) ).

cnf(refute_0_2888,plain,
    ( difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))
    | difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) ),[0],$fot(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_2889,plain,
    ( difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))),difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) )],[refute_0_2887,refute_0_2888]) ).

cnf(refute_0_2890,plain,
    bigC(product(a,c),difference(product(a,c),product(a,product(b,c))),X_23) = product(product(a,product(b,c)),product(X_23,product(a,c))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(a,product(b,c)))),bind(X_21,$fot(product(a,c)))]]) ).

cnf(refute_0_2891,plain,
    ( bigC(product(a,c),difference(product(a,c),product(a,product(b,c))),X_23) != product(product(a,product(b,c)),product(X_23,product(a,c)))
    | difference(product(a,c),product(a,product(b,c))) != bigC(c,a,b)
    | bigC(product(a,c),bigC(c,a,b),X_23) = product(product(a,product(b,c)),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),product(a,product(b,c))),X_23),product(product(a,product(b,c)),product(X_23,product(a,c)))) ),[0,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_2892,plain,
    ( bigC(product(a,c),difference(product(a,c),product(a,product(b,c))),X_23) != product(product(a,product(b,c)),product(X_23,product(a,c)))
    | bigC(product(a,c),bigC(c,a,b),X_23) = product(product(a,product(b,c)),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),bigC(c,a,b)) )],[refute_0_470,refute_0_2891]) ).

cnf(refute_0_2893,plain,
    bigC(product(a,c),bigC(c,a,b),X_23) = product(product(a,product(b,c)),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),product(a,product(b,c))),X_23),product(product(a,product(b,c)),product(X_23,product(a,c)))) )],[refute_0_2890,refute_0_2892]) ).

cnf(refute_0_2894,plain,
    ( bigC(product(a,c),bigC(c,a,b),X_23) != product(product(a,product(b,c)),product(X_23,product(a,c)))
    | product(product(a,product(b,c)),product(X_23,product(a,c))) = bigC(product(a,c),bigC(c,a,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),bigC(c,a,b),X_23))),bind(Y,$fot(product(product(a,product(b,c)),product(X_23,product(a,c)))))]]) ).

cnf(refute_0_2895,plain,
    product(product(a,product(b,c)),product(X_23,product(a,c))) = bigC(product(a,c),bigC(c,a,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),X_23),product(product(a,product(b,c)),product(X_23,product(a,c)))) )],[refute_0_2893,refute_0_2894]) ).

cnf(refute_0_2896,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),
    inference(subst,[],[refute_0_2895:[bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2897,plain,
    ( difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) ),[0],$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_2898,plain,
    ( difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_2896,refute_0_2897]) ).

cnf(refute_0_2899,plain,
    ( difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2889,refute_0_2898]) ).

cnf(refute_0_2900,plain,
    difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2875,refute_0_2899]) ).

cnf(refute_0_2901,plain,
    difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,c,b)),product(a,product(b,c))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(a,bigC(c,c,b)))),bind(X_20,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2902,plain,
    ( difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))))
    | quotient(product(a,bigC(c,c,b)),product(a,product(b,c))) != product(a,c)
    | difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))))) ),[1,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_2903,plain,
    ( difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))))
    | difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,c)) )],[refute_0_2865,refute_0_2902]) ).

cnf(refute_0_2904,plain,
    difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),quotient(product(a,bigC(c,c,b)),product(a,product(b,c)))))) )],[refute_0_2901,refute_0_2903]) ).

cnf(refute_0_2905,plain,
    bigC(X_44,difference(X_44,bigC(X_44,X_44,X_37)),X_45) = product(bigC(X_44,X_44,X_37),product(X_45,X_44)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(X_44,X_44,X_37))),bind(X_21,$fot(X_44)),bind(X_23,$fot(X_45))]]) ).

cnf(refute_0_2906,plain,
    difference(X_44,bigC(X_44,X_44,X_37)) = product(X_37,X_44),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(X_44))]]) ).

cnf(refute_0_2907,plain,
    ( bigC(X_44,difference(X_44,bigC(X_44,X_44,X_37)),X_45) != product(bigC(X_44,X_44,X_37),product(X_45,X_44))
    | difference(X_44,bigC(X_44,X_44,X_37)) != product(X_37,X_44)
    | bigC(X_44,product(X_37,X_44),X_45) = product(bigC(X_44,X_44,X_37),product(X_45,X_44)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_44,difference(X_44,bigC(X_44,X_44,X_37)),X_45),product(bigC(X_44,X_44,X_37),product(X_45,X_44))) ),[0,1],$fot(product(X_37,X_44))]]) ).

cnf(refute_0_2908,plain,
    ( bigC(X_44,difference(X_44,bigC(X_44,X_44,X_37)),X_45) != product(bigC(X_44,X_44,X_37),product(X_45,X_44))
    | bigC(X_44,product(X_37,X_44),X_45) = product(bigC(X_44,X_44,X_37),product(X_45,X_44)) ),
    inference(resolve,[$cnf( $equal(difference(X_44,bigC(X_44,X_44,X_37)),product(X_37,X_44)) )],[refute_0_2906,refute_0_2907]) ).

cnf(refute_0_2909,plain,
    bigC(X_44,product(X_37,X_44),X_45) = product(bigC(X_44,X_44,X_37),product(X_45,X_44)),
    inference(resolve,[$cnf( $equal(bigC(X_44,difference(X_44,bigC(X_44,X_44,X_37)),X_45),product(bigC(X_44,X_44,X_37),product(X_45,X_44))) )],[refute_0_2905,refute_0_2908]) ).

cnf(refute_0_2910,plain,
    ( bigC(X_44,product(X_37,X_44),X_45) != product(bigC(X_44,X_44,X_37),product(X_45,X_44))
    | product(bigC(X_44,X_44,X_37),product(X_45,X_44)) = bigC(X_44,product(X_37,X_44),X_45) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_44,product(X_37,X_44),X_45))),bind(Y,$fot(product(bigC(X_44,X_44,X_37),product(X_45,X_44))))]]) ).

cnf(refute_0_2911,plain,
    product(bigC(X_44,X_44,X_37),product(X_45,X_44)) = bigC(X_44,product(X_37,X_44),X_45),
    inference(resolve,[$cnf( $equal(bigC(X_44,product(X_37,X_44),X_45),product(bigC(X_44,X_44,X_37),product(X_45,X_44))) )],[refute_0_2909,refute_0_2910]) ).

cnf(refute_0_2912,plain,
    product(bigC(c,c,b),product(b,c)) = bigC(c,product(b,c),b),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(b)),bind(X_44,$fot(c)),bind(X_45,$fot(b))]]) ).

cnf(refute_0_2913,plain,
    product(a,product(bigC(c,c,b),product(b,c))) = product(a,product(bigC(c,c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(a,product(bigC(c,c,b),product(b,c))))]]) ).

cnf(refute_0_2914,plain,
    ( product(a,product(bigC(c,c,b),product(b,c))) != product(a,product(bigC(c,c,b),product(b,c)))
    | product(bigC(c,c,b),product(b,c)) != bigC(c,product(b,c),b)
    | product(a,product(bigC(c,c,b),product(b,c))) = product(a,bigC(c,product(b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(bigC(c,c,b),product(b,c))),product(a,product(bigC(c,c,b),product(b,c)))) ),[1,1],$fot(bigC(c,product(b,c),b))]]) ).

cnf(refute_0_2915,plain,
    ( product(bigC(c,c,b),product(b,c)) != bigC(c,product(b,c),b)
    | product(a,product(bigC(c,c,b),product(b,c))) = product(a,bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(c,c,b),product(b,c))),product(a,product(bigC(c,c,b),product(b,c)))) )],[refute_0_2913,refute_0_2914]) ).

cnf(refute_0_2916,plain,
    product(a,product(bigC(c,c,b),product(b,c))) = product(a,bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),product(b,c)),bigC(c,product(b,c),b)) )],[refute_0_2912,refute_0_2915]) ).

cnf(refute_0_2917,plain,
    product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(product(a,a),product(bigC(c,c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(bigC(c,c,b),product(b,c))))]]) ).

cnf(refute_0_2918,plain,
    ( product(a,a) != a
    | product(product(a,a),product(bigC(c,c,b),product(b,c))) != product(product(a,a),product(bigC(c,c,b),product(b,c)))
    | product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(a,product(bigC(c,c,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(bigC(c,c,b),product(b,c))),product(product(a,a),product(bigC(c,c,b),product(b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2919,plain,
    ( product(a,a) != a
    | product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(a,product(bigC(c,c,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,c,b),product(b,c))),product(product(a,a),product(bigC(c,c,b),product(b,c)))) )],[refute_0_2917,refute_0_2918]) ).

cnf(refute_0_2920,plain,
    product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(a,product(bigC(c,c,b),product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2919]) ).

cnf(refute_0_2921,plain,
    ( product(a,product(bigC(c,c,b),product(b,c))) != product(a,bigC(c,product(b,c),b))
    | product(product(a,a),product(bigC(c,c,b),product(b,c))) != product(a,product(bigC(c,c,b),product(b,c)))
    | product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(a,bigC(c,product(b,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(bigC(c,c,b),product(b,c))))),bind(Y,$fot(product(a,product(bigC(c,c,b),product(b,c))))),bind(Z,$fot(product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_2922,plain,
    ( product(a,product(bigC(c,c,b),product(b,c))) != product(a,bigC(c,product(b,c),b))
    | product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(a,bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,c,b),product(b,c))),product(a,product(bigC(c,c,b),product(b,c)))) )],[refute_0_2920,refute_0_2921]) ).

cnf(refute_0_2923,plain,
    product(product(a,a),product(bigC(c,c,b),product(b,c))) = product(a,bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(c,c,b),product(b,c))),product(a,bigC(c,product(b,c),b))) )],[refute_0_2916,refute_0_2922]) ).

cnf(refute_0_2924,plain,
    product(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(product(a,a),product(bigC(c,c,b),product(b,c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(bigC(c,c,b))),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_2925,plain,
    ( product(product(a,a),product(bigC(c,c,b),product(b,c))) != product(a,bigC(c,product(b,c),b))
    | product(product(a,bigC(c,c,b)),product(a,product(b,c))) != product(product(a,a),product(bigC(c,c,b),product(b,c)))
    | product(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(a,bigC(c,product(b,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(c,c,b)),product(a,product(b,c))))),bind(Y,$fot(product(product(a,a),product(bigC(c,c,b),product(b,c))))),bind(Z,$fot(product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_2926,plain,
    ( product(product(a,a),product(bigC(c,c,b),product(b,c))) != product(a,bigC(c,product(b,c),b))
    | product(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(a,bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(product(a,a),product(bigC(c,c,b),product(b,c)))) )],[refute_0_2924,refute_0_2925]) ).

cnf(refute_0_2927,plain,
    product(product(a,bigC(c,c,b)),product(a,product(b,c))) = product(a,bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,c,b),product(b,c))),product(a,bigC(c,product(b,c),b))) )],[refute_0_2923,refute_0_2926]) ).

cnf(refute_0_2928,plain,
    difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_2929,plain,
    ( difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c)))
    | product(product(a,bigC(c,c,b)),product(a,product(b,c))) != product(a,bigC(c,product(b,c),b))
    | difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c)))) ),[1,0],$fot(product(a,bigC(c,product(b,c),b)))]]) ).

cnf(refute_0_2930,plain,
    ( product(product(a,bigC(c,c,b)),product(a,product(b,c))) != product(a,bigC(c,product(b,c),b))
    | difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_2928,refute_0_2929]) ).

cnf(refute_0_2931,plain,
    difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) )],[refute_0_2927,refute_0_2930]) ).

cnf(refute_0_2932,plain,
    ( difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))
    | difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) ),[0],$fot(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))))]]) ).

cnf(refute_0_2933,plain,
    ( difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))) )],[refute_0_2931,refute_0_2932]) ).

cnf(refute_0_2934,plain,
    product(product(a,a),product(product(b,c),product(product(b,c),c))) = product(product(a,a),product(product(b,c),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(b,c),product(product(b,c),c))))]]) ).

cnf(refute_0_2935,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),product(product(b,c),c))) != product(product(a,a),product(product(b,c),product(product(b,c),c)))
    | product(product(a,a),product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,c),c))),product(product(a,a),product(product(b,c),product(product(b,c),c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_2936,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,c),c))),product(product(a,a),product(product(b,c),product(product(b,c),c)))) )],[refute_0_2934,refute_0_2935]) ).

cnf(refute_0_2937,plain,
    product(product(a,a),product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_2936]) ).

cnf(refute_0_2938,plain,
    product(product(a,product(b,c)),product(a,product(product(b,c),c))) = product(product(a,a),product(product(b,c),product(product(b,c),c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(b,c))),bind(D,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_2939,plain,
    ( product(product(a,a),product(product(b,c),product(product(b,c),c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | product(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(product(a,a),product(product(b,c),product(product(b,c),c)))
    | product(product(a,product(b,c)),product(a,product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(a,product(product(b,c),c))))),bind(Y,$fot(product(product(a,a),product(product(b,c),product(product(b,c),c))))),bind(Z,$fot(product(a,product(product(b,c),product(product(b,c),c)))))]]) ).

cnf(refute_0_2940,plain,
    ( product(product(a,a),product(product(b,c),product(product(b,c),c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | product(product(a,product(b,c)),product(a,product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(product(b,c),c))),product(product(a,a),product(product(b,c),product(product(b,c),c)))) )],[refute_0_2938,refute_0_2939]) ).

cnf(refute_0_2941,plain,
    product(product(a,product(b,c)),product(a,product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,c),c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2937,refute_0_2940]) ).

cnf(refute_0_2942,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_2943,plain,
    ( product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) ),[1,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_2944,plain,
    ( product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(product(a,product(b,c)),product(a,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2942,refute_0_2943]) ).

cnf(refute_0_2945,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(product(a,product(b,c)),product(a,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_2944]) ).

cnf(refute_0_2946,plain,
    ( product(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) != product(product(a,product(b,c)),product(a,product(product(b,c),c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))))),bind(Y,$fot(product(product(a,product(b,c)),product(a,product(product(b,c),c))))),bind(Z,$fot(product(a,product(product(b,c),product(product(b,c),c)))))]]) ).

cnf(refute_0_2947,plain,
    ( product(product(a,product(b,c)),product(a,product(product(b,c),c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),product(product(a,product(b,c)),product(a,product(product(b,c),c)))) )],[refute_0_2945,refute_0_2946]) ).

cnf(refute_0_2948,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) = product(a,product(product(b,c),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(product(b,c),c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2941,refute_0_2947]) ).

cnf(refute_0_2949,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) ),[0],$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_2950,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2948,refute_0_2949]) ).

cnf(refute_0_2951,plain,
    ( difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2933,refute_0_2950]) ).

cnf(refute_0_2952,plain,
    difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,bigC(c,c,b)),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2904,refute_0_2951]) ).

cnf(refute_0_2953,plain,
    bigC(c,product(b,c),b) = bigC(c,b,product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_2954,plain,
    product(a,bigC(c,product(b,c),b)) = product(a,bigC(c,product(b,c),b)),
    introduced(tautology,[refl,[$fot(product(a,bigC(c,product(b,c),b)))]]) ).

cnf(refute_0_2955,plain,
    ( bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,product(b,c),b))
    | product(a,bigC(c,product(b,c),b)) = product(a,bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),product(a,bigC(c,product(b,c),b))) ),[1,1],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_2956,plain,
    ( bigC(c,product(b,c),b) != bigC(c,b,product(b,c))
    | product(a,bigC(c,product(b,c),b)) = product(a,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),product(a,bigC(c,product(b,c),b))) )],[refute_0_2954,refute_0_2955]) ).

cnf(refute_0_2957,plain,
    product(a,bigC(c,product(b,c),b)) = product(a,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),b),bigC(c,b,product(b,c))) )],[refute_0_2953,refute_0_2956]) ).

cnf(refute_0_2958,plain,
    difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))))]]) ).

cnf(refute_0_2959,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))
    | product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,b,product(b,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))) ),[1,0],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_2960,plain,
    ( product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,b,product(b,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))) )],[refute_0_2958,refute_0_2959]) ).

cnf(refute_0_2961,plain,
    difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) = difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),product(a,bigC(c,b,product(b,c)))) )],[refute_0_2957,refute_0_2960]) ).

cnf(refute_0_2962,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c)))
    | difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) ),[0],$fot(difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_2963,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c)))) )],[refute_0_2961,refute_0_2962]) ).

cnf(refute_0_2964,plain,
    product(product(b,c),product(product(b,c),c)) = product(product(b,product(b,c)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(b)),bind(X_64,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_2965,plain,
    product(a,product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,c),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,c),product(product(b,c),c))))]]) ).

cnf(refute_0_2966,plain,
    ( product(a,product(product(b,c),product(product(b,c),c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | product(product(b,c),product(product(b,c),c)) != product(product(b,product(b,c)),c)
    | product(a,product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),product(product(b,c),c))),product(a,product(product(b,c),product(product(b,c),c)))) ),[1,1],$fot(product(product(b,product(b,c)),c))]]) ).

cnf(refute_0_2967,plain,
    ( product(product(b,c),product(product(b,c),c)) != product(product(b,product(b,c)),c)
    | product(a,product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(product(b,c),c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2965,refute_0_2966]) ).

cnf(refute_0_2968,plain,
    product(a,product(product(b,c),product(product(b,c),c))) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),c)),product(product(b,product(b,c)),c)) )],[refute_0_2964,refute_0_2967]) ).

cnf(refute_0_2969,plain,
    ( difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | product(a,product(product(b,c),product(product(b,c),c))) != product(a,product(product(b,product(b,c)),c))
    | difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))),product(a,product(product(b,product(b,c)),c))) ),[0],$fot(product(a,product(product(b,c),product(product(b,c),c))))]]) ).

cnf(refute_0_2970,plain,
    ( difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(product(b,c),c))),product(a,product(product(b,product(b,c)),c))) )],[refute_0_2968,refute_0_2969]) ).

cnf(refute_0_2971,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2963,refute_0_2970]) ).

cnf(refute_0_2972,plain,
    difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2952,refute_0_2971]) ).

cnf(refute_0_2973,plain,
    product(product(a,bigC(c,b,c)),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))) = product(a,bigC(c,b,product(b,c))),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,bigC(c,b,c)))),bind(B,$fot(product(a,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_2974,plain,
    difference(product(product(a,c),product(a,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) = product(product(a,b),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(product(a,product(b,c)))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_2975,plain,
    quotient(product(a,product(b,c)),difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c)))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,product(b,c)))),bind(X_6,$fot(bigC(product(a,c),product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_2976,plain,
    difference(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(a,c))),bind(X_16,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2977,plain,
    bigC(product(a,c),product(a,product(b,c)),product(a,b)) = product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_369:[bind(X_42,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_2978,plain,
    ( bigC(product(a,c),product(a,product(b,c)),product(a,b)) != product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c)))
    | product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(a,product(b,c)),product(a,b)))),bind(Y,$fot(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c)))))]]) ).

cnf(refute_0_2979,plain,
    product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_2977,refute_0_2978]) ).

cnf(refute_0_2980,plain,
    ( difference(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) ),[0,0],$fot(bigC(product(a,c),product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_2981,plain,
    ( difference(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) )],[refute_0_2979,refute_0_2980]) ).

cnf(refute_0_2982,plain,
    difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2976,refute_0_2981]) ).

cnf(refute_0_2983,plain,
    ( difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) ),[0],$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))))]]) ).

cnf(refute_0_2984,plain,
    ( difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))
    | difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2948,refute_0_2983]) ).

cnf(refute_0_2985,plain,
    difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) = product(a,product(product(b,c),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,c)))) )],[refute_0_2982,refute_0_2984]) ).

cnf(refute_0_2986,plain,
    ( difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | quotient(product(a,product(b,c)),difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c)))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c)))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) ),[0,1],$fot(product(a,product(product(b,c),product(product(b,c),c))))]]) ).

cnf(refute_0_2987,plain,
    ( quotient(product(a,product(b,c)),difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c)))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2985,refute_0_2986]) ).

cnf(refute_0_2988,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),difference(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,product(b,c)))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) )],[refute_0_2975,refute_0_2987]) ).

cnf(refute_0_2989,plain,
    quotient(product(a,product(b,c)),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))) = product(a,bigC(c,product(b,c),b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,product(b,c)))),bind(X_6,$fot(product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_2990,plain,
    ( difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))) != product(a,product(product(b,c),product(product(b,c),c)))
    | quotient(product(a,product(b,c)),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = product(a,bigC(c,product(b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))),product(a,bigC(c,product(b,c),b))) ),[0,1],$fot(product(a,product(product(b,c),product(product(b,c),c))))]]) ).

cnf(refute_0_2991,plain,
    ( quotient(product(a,product(b,c)),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = product(a,bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c))),product(a,product(product(b,c),product(product(b,c),c)))) )],[refute_0_2952,refute_0_2990]) ).

cnf(refute_0_2992,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = product(a,bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),difference(product(a,bigC(c,product(b,c),b)),product(a,product(b,c)))),product(a,bigC(c,product(b,c),b))) )],[refute_0_2989,refute_0_2991]) ).

cnf(refute_0_2993,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != product(a,bigC(c,product(b,c),b))
    | product(a,bigC(c,product(b,c),b)) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) ),[0],$fot(product(a,bigC(c,product(b,c),b)))]]) ).

cnf(refute_0_2994,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | product(a,bigC(c,product(b,c),b)) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),product(a,bigC(c,product(b,c),b))) )],[refute_0_2992,refute_0_2993]) ).

cnf(refute_0_2995,plain,
    product(a,bigC(c,product(b,c),b)) = bigC(product(a,c),product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) )],[refute_0_2988,refute_0_2994]) ).

cnf(refute_0_2996,plain,
    ( product(a,bigC(c,product(b,c),b)) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | bigC(product(a,c),product(a,product(b,c)),product(a,b)) = product(a,bigC(c,product(b,c),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(c,product(b,c),b)))),bind(Y,$fot(bigC(product(a,c),product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_2997,plain,
    bigC(product(a,c),product(a,product(b,c)),product(a,b)) = product(a,bigC(c,product(b,c),b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),bigC(product(a,c),product(a,product(b,c)),product(a,b))) )],[refute_0_2995,refute_0_2996]) ).

cnf(refute_0_2998,plain,
    ( bigC(product(a,c),product(a,product(b,c)),product(a,b)) != product(a,bigC(c,product(b,c),b))
    | difference(product(product(a,c),product(a,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) != product(product(a,b),product(a,c))
    | difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))),product(product(a,b),product(a,c))) ),[0,1],$fot(product(a,bigC(c,product(b,c),b)))]]) ).

cnf(refute_0_2999,plain,
    ( difference(product(product(a,c),product(a,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) != product(product(a,b),product(a,c))
    | difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,product(b,c)),product(a,b)),product(a,bigC(c,product(b,c),b))) )],[refute_0_2997,refute_0_2998]) ).

cnf(refute_0_3000,plain,
    difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))),product(product(a,b),product(a,c))) )],[refute_0_2974,refute_0_2999]) ).

cnf(refute_0_3001,plain,
    difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_3002,plain,
    ( difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) != difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b)))
    | product(product(a,c),product(a,product(b,c))) != product(a,bigC(c,c,b))
    | difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))),difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b)))) ),[1,0],$fot(product(a,bigC(c,c,b)))]]) ).

cnf(refute_0_3003,plain,
    ( product(product(a,c),product(a,product(b,c))) != product(a,bigC(c,c,b))
    | difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))),difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b)))) )],[refute_0_3001,refute_0_3002]) ).

cnf(refute_0_3004,plain,
    difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,c,b))) )],[refute_0_2125,refute_0_3003]) ).

cnf(refute_0_3005,plain,
    ( difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b)))
    | difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) != product(product(a,b),product(a,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))),product(product(a,b),product(a,c))) ),[0],$fot(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_3006,plain,
    ( difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) != product(product(a,b),product(a,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b)))) )],[refute_0_3004,refute_0_3005]) ).

cnf(refute_0_3007,plain,
    ( difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_3008,plain,
    ( difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != product(product(a,b),product(a,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_3007]) ).

cnf(refute_0_3009,plain,
    ( difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))) != product(product(a,b),product(a,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),product(product(a,b),product(a,c))) )],[refute_0_3006,refute_0_3008]) ).

cnf(refute_0_3010,plain,
    difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,product(b,c))),product(a,bigC(c,product(b,c),b))),product(product(a,b),product(a,c))) )],[refute_0_3000,refute_0_3009]) ).

cnf(refute_0_3011,plain,
    difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))),
    introduced(tautology,[refl,[$fot(difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_3012,plain,
    ( difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b)))
    | product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,b,product(b,c)))
    | difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b)))) ),[1,1],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_3013,plain,
    ( product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,b,product(b,c)))
    | difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b)))) )],[refute_0_3011,refute_0_3012]) ).

cnf(refute_0_3014,plain,
    difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),product(a,bigC(c,b,product(b,c)))) )],[refute_0_2957,refute_0_3013]) ).

cnf(refute_0_3015,plain,
    difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),
    introduced(tautology,[refl,[$fot(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))))]]) ).

cnf(refute_0_3016,plain,
    ( difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b)))
    | product(a,bigC(c,c,b)) != product(a,bigC(c,b,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b)))) ),[1,0],$fot(product(a,bigC(c,b,c)))]]) ).

cnf(refute_0_3017,plain,
    ( product(a,bigC(c,c,b)) != product(a,bigC(c,b,c))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b)))) )],[refute_0_3015,refute_0_3016]) ).

cnf(refute_0_3018,plain,
    difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,c,b)),product(a,bigC(c,b,c))) )],[refute_0_2135,refute_0_3017]) ).

cnf(refute_0_3019,plain,
    ( difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b)))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))))),bind(Y,$fot(difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))))),bind(Z,$fot(difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))))]]) ).

cnf(refute_0_3020,plain,
    ( difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b)))) )],[refute_0_3018,refute_0_3019]) ).

cnf(refute_0_3021,plain,
    difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) = difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,b,c)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))) )],[refute_0_3014,refute_0_3020]) ).

cnf(refute_0_3022,plain,
    ( difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))
    | difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != product(a,product(b,c))
    | difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),product(a,product(b,c))) ),[0],$fot(difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_3023,plain,
    ( difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))) != product(a,product(b,c))
    | difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))) )],[refute_0_3021,refute_0_3022]) ).

cnf(refute_0_3024,plain,
    difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,c,b)),product(a,bigC(c,product(b,c),b))),product(a,product(b,c))) )],[refute_0_3010,refute_0_3023]) ).

cnf(refute_0_3025,plain,
    ( difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))) != product(a,product(b,c))
    | product(product(a,bigC(c,b,c)),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))) != product(a,bigC(c,b,product(b,c)))
    | product(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,b,c)),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))),product(a,bigC(c,b,product(b,c)))) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_3026,plain,
    ( product(product(a,bigC(c,b,c)),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))) != product(a,bigC(c,b,product(b,c)))
    | product(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c)))),product(a,product(b,c))) )],[refute_0_3024,refute_0_3025]) ).

cnf(refute_0_3027,plain,
    product(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,b,c)),difference(product(a,bigC(c,b,c)),product(a,bigC(c,b,product(b,c))))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_2973,refute_0_3026]) ).

cnf(refute_0_3028,plain,
    product(product(a,bigC(c,b,c)),product(a,product(b,c))) = product(a,product(bigC(c,b,c),product(b,c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(bigC(c,b,c))),bind(X_66,$fot(product(b,c)))]]) ).

cnf(refute_0_3029,plain,
    ( product(product(a,bigC(c,b,c)),product(a,product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | product(product(a,bigC(c,b,c)),product(a,product(b,c))) != product(a,product(bigC(c,b,c),product(b,c)))
    | product(a,product(bigC(c,b,c),product(b,c))) = product(a,bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,bigC(c,b,product(b,c)))) ),[0],$fot(product(a,product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_3030,plain,
    ( product(product(a,bigC(c,b,c)),product(a,product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | product(a,product(bigC(c,b,c),product(b,c))) = product(a,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,product(bigC(c,b,c),product(b,c)))) )],[refute_0_3028,refute_0_3029]) ).

cnf(refute_0_3031,plain,
    product(a,product(bigC(c,b,c),product(b,c))) = product(a,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,b,c)),product(a,product(b,c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_3027,refute_0_3030]) ).

cnf(refute_0_3032,plain,
    difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_3033,plain,
    ( difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))
    | product(a,product(bigC(c,b,c),product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) ),[1,0],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_3034,plain,
    ( product(a,product(bigC(c,b,c),product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c)))) )],[refute_0_3032,refute_0_3033]) ).

cnf(refute_0_3035,plain,
    difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(c,b,c),product(b,c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_3031,refute_0_3034]) ).

cnf(refute_0_3036,plain,
    ( difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) != product(a,product(product(b,product(b,c)),c))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))))),bind(Y,$fot(difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))))),bind(Z,$fot(product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_3037,plain,
    ( difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))) != product(a,product(product(b,product(b,c)),c))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c)))) )],[refute_0_3035,refute_0_3036]) ).

cnf(refute_0_3038,plain,
    difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(c,b,product(b,c))),product(a,product(b,c))),product(a,product(product(b,product(b,c)),c))) )],[refute_0_2972,refute_0_3037]) ).

cnf(refute_0_3039,plain,
    ( difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != product(a,product(product(b,product(b,c)),c))
    | product(a,product(product(b,product(b,c)),c)) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) ),[0],$fot(product(a,product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_3040,plain,
    ( difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | product(a,product(product(b,product(b,c)),c)) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),product(a,product(product(b,product(b,c)),c))) )],[refute_0_3038,refute_0_3039]) ).

cnf(refute_0_3041,plain,
    product(a,product(product(b,product(b,c)),c)) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(bigC(c,b,c),product(b,c))),product(a,product(b,c))),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_2900,refute_0_3040]) ).

cnf(refute_0_3042,plain,
    ( product(a,product(product(b,product(b,c)),c)) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(product(b,product(b,c)),c)))),bind(Y,$fot(bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_3043,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_3041,refute_0_3042]) ).

cnf(refute_0_3044,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) != product(a,product(product(b,product(b,c)),c))
    | difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))),product(product(a,product(b,c)),product(a,c))) ),[0,1],$fot(product(a,product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_3045,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),product(a,product(product(b,product(b,c)),c))) )],[refute_0_3043,refute_0_3044]) ).

cnf(refute_0_3046,plain,
    difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = product(product(a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))),product(product(a,product(b,c)),product(a,c))) )],[refute_0_2853,refute_0_3045]) ).

cnf(refute_0_3047,plain,
    product(product(a,c),difference(product(a,c),product(a,product(b,c)))) = product(a,product(b,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_3048,plain,
    ( difference(product(a,c),product(a,product(b,c))) != bigC(c,a,b)
    | product(product(a,c),difference(product(a,c),product(a,product(b,c)))) != product(a,product(b,c))
    | product(product(a,c),bigC(c,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),difference(product(a,c),product(a,product(b,c)))),product(a,product(b,c))) ),[0,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3049,plain,
    ( product(product(a,c),difference(product(a,c),product(a,product(b,c)))) != product(a,product(b,c))
    | product(product(a,c),bigC(c,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),bigC(c,a,b)) )],[refute_0_470,refute_0_3048]) ).

cnf(refute_0_3050,plain,
    product(product(a,c),bigC(c,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(product(a,c),product(a,product(b,c)))),product(a,product(b,c))) )],[refute_0_3047,refute_0_3049]) ).

cnf(refute_0_3051,plain,
    difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_3052,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) != difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c)))
    | product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))),difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c)))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_3053,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))),difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_3051,refute_0_3052]) ).

cnf(refute_0_3054,plain,
    difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_3050,refute_0_3053]) ).

cnf(refute_0_3055,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))),product(product(a,product(b,c)),product(a,c))) ),[0],$fot(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_3056,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_3054,refute_0_3055]) ).

cnf(refute_0_3057,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(product(b,c),c))) ),[0],$fot(product(product(a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_3058,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_3057]) ).

cnf(refute_0_3059,plain,
    ( difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(product(a,product(b,c)),product(a,c))) )],[refute_0_3056,refute_0_3058]) ).

cnf(refute_0_3060,plain,
    difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),bigC(c,a,b)),product(a,product(product(b,product(b,c)),c))),product(product(a,product(b,c)),product(a,c))) )],[refute_0_3046,refute_0_3059]) ).

cnf(refute_0_3061,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | product(product(product(a,product(product(b,product(b,c)),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(product(b,product(b,c)),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) ),[0,0,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_3062,plain,
    ( product(product(product(a,product(product(b,product(b,c)),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(product(b,c),c))) )],[refute_0_3060,refute_0_3061]) ).

cnf(refute_0_3063,plain,
    product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,product(b,c)),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_2852,refute_0_3062]) ).

cnf(refute_0_3064,plain,
    product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(product(b,c))),bind(X_65,$fot(product(product(b,c),c))),bind(X_66,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3065,plain,
    product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) = product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(b,product(product(b,c),c)))),bind(X_64,$fot(product(product(b,c),bigC(b,b,c)))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3066,plain,
    ( product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) != product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c)
    | product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)))),bind(Y,$fot(product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c))),bind(Z,$fot(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)))]]) ).

cnf(refute_0_3067,plain,
    ( product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)),product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c)) )],[refute_0_3065,refute_0_3066]) ).

cnf(refute_0_3068,plain,
    product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(product(b,c),c)),product(product(b,c),bigC(b,b,c))),c),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) )],[refute_0_3064,refute_0_3067]) ).

cnf(refute_0_3069,plain,
    product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))))]]) ).

cnf(refute_0_3070,plain,
    ( product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) != product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)))
    | product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))),product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)))) ),[1,1],$fot(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))]]) ).

cnf(refute_0_3071,plain,
    ( product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))),product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)))) )],[refute_0_3069,refute_0_3070]) ).

cnf(refute_0_3072,plain,
    product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) )],[refute_0_3068,refute_0_3071]) ).

cnf(refute_0_3073,plain,
    product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(product(product(b,product(product(b,c),c)),c))),bind(X_66,$fot(product(product(product(b,c),bigC(b,b,c)),c)))]]) ).

cnf(refute_0_3074,plain,
    ( product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) != product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)))
    | product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))))),bind(Y,$fot(product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))))),bind(Z,$fot(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))))]]) ).

cnf(refute_0_3075,plain,
    ( product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))),product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c)))) )],[refute_0_3073,refute_0_3074]) ).

cnf(refute_0_3076,plain,
    product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,product(product(b,c),c)),c),product(product(product(b,c),bigC(b,b,c)),c))),product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) )],[refute_0_3072,refute_0_3075]) ).

cnf(refute_0_3077,plain,
    product(product(product(b,c),c),product(bigC(b,b,c),c)) = product(product(product(b,c),bigC(b,b,c)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(b,c))),bind(X_64,$fot(bigC(b,b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3078,plain,
    product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_3079,plain,
    ( product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) != product(a,product(product(product(b,c),c),product(bigC(b,b,c),c)))
    | product(product(product(b,c),c),product(bigC(b,b,c),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))),product(a,product(product(product(b,c),c),product(bigC(b,b,c),c)))) ),[1,1],$fot(product(product(product(b,c),bigC(b,b,c)),c))]]) ).

cnf(refute_0_3080,plain,
    ( product(product(product(b,c),c),product(bigC(b,b,c),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))),product(a,product(product(product(b,c),c),product(bigC(b,b,c),c)))) )],[refute_0_3078,refute_0_3079]) ).

cnf(refute_0_3081,plain,
    product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(bigC(b,b,c),c)),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_3077,refute_0_3080]) ).

cnf(refute_0_3082,plain,
    product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(product(product(b,c),c))),bind(X_66,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_3083,plain,
    ( product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) != product(a,product(product(product(b,c),bigC(b,b,c)),c))
    | product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) != product(a,product(product(product(b,c),c),product(bigC(b,b,c),c)))
    | product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))))),bind(Y,$fot(product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))))),bind(Z,$fot(product(a,product(product(product(b,c),bigC(b,b,c)),c))))]]) ).

cnf(refute_0_3084,plain,
    ( product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))) != product(a,product(product(product(b,c),bigC(b,b,c)),c))
    | product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))),product(a,product(product(product(b,c),c),product(bigC(b,b,c),c)))) )],[refute_0_3082,refute_0_3083]) ).

cnf(refute_0_3085,plain,
    product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,c),c),product(bigC(b,b,c),c))),product(a,product(product(product(b,c),bigC(b,b,c)),c))) )],[refute_0_3081,refute_0_3084]) ).

cnf(refute_0_3086,plain,
    product(bigC(b,b,c),product(c,c)) = product(bigC(b,b,c),product(c,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),product(c,c)))]]) ).

cnf(refute_0_3087,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),product(c,c))
    | product(c,c) != c
    | product(bigC(b,b,c),product(c,c)) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(c,c)),product(bigC(b,b,c),product(c,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3088,plain,
    ( product(c,c) != c
    | product(bigC(b,b,c),product(c,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,c)),product(bigC(b,b,c),product(c,c))) )],[refute_0_3086,refute_0_3087]) ).

cnf(refute_0_3089,plain,
    product(bigC(b,b,c),product(c,c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_3088]) ).

cnf(refute_0_3090,plain,
    product(product(b,c),b) = bigC(b,c,b),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(b)),bind(X_22,$fot(c))]]) ).

cnf(refute_0_3091,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(b,c),b) != bigC(b,c,b)
    | product(product(b,c),b) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),b))),bind(Y,$fot(bigC(b,c,b))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3092,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(b,c),b) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),b),bigC(b,c,b)) )],[refute_0_3090,refute_0_3091]) ).

cnf(refute_0_3093,plain,
    product(product(b,c),b) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_3092]) ).

cnf(refute_0_3094,plain,
    product(product(product(b,c),b),product(c,c)) = product(product(product(b,c),b),product(c,c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),b),product(c,c)))]]) ).

cnf(refute_0_3095,plain,
    ( product(product(b,c),b) != bigC(b,b,c)
    | product(product(product(b,c),b),product(c,c)) != product(product(product(b,c),b),product(c,c))
    | product(product(product(b,c),b),product(c,c)) = product(bigC(b,b,c),product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),b),product(c,c)),product(product(product(b,c),b),product(c,c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3096,plain,
    ( product(product(b,c),b) != bigC(b,b,c)
    | product(product(product(b,c),b),product(c,c)) = product(bigC(b,b,c),product(c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),b),product(c,c)),product(product(product(b,c),b),product(c,c))) )],[refute_0_3094,refute_0_3095]) ).

cnf(refute_0_3097,plain,
    product(product(product(b,c),b),product(c,c)) = product(bigC(b,b,c),product(c,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),b),bigC(b,b,c)) )],[refute_0_3093,refute_0_3096]) ).

cnf(refute_0_3098,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),c)
    | product(product(product(b,c),b),product(c,c)) != product(bigC(b,b,c),product(c,c))
    | product(product(product(b,c),b),product(c,c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),b),product(c,c)))),bind(Y,$fot(product(bigC(b,b,c),product(c,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_3099,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),c)
    | product(product(product(b,c),b),product(c,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),b),product(c,c)),product(bigC(b,b,c),product(c,c))) )],[refute_0_3097,refute_0_3098]) ).

cnf(refute_0_3100,plain,
    product(product(product(b,c),b),product(c,c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,c)),product(bigC(b,b,c),c)) )],[refute_0_3089,refute_0_3099]) ).

cnf(refute_0_3101,plain,
    product(a,product(product(product(b,c),b),product(c,c))) = product(a,product(product(product(b,c),b),product(c,c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(product(b,c),b),product(c,c))))]]) ).

cnf(refute_0_3102,plain,
    ( product(a,product(product(product(b,c),b),product(c,c))) != product(a,product(product(product(b,c),b),product(c,c)))
    | product(product(product(b,c),b),product(c,c)) != product(bigC(b,b,c),c)
    | product(a,product(product(product(b,c),b),product(c,c))) = product(a,product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(b,c),b),product(c,c))),product(a,product(product(product(b,c),b),product(c,c)))) ),[1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_3103,plain,
    ( product(product(product(b,c),b),product(c,c)) != product(bigC(b,b,c),c)
    | product(a,product(product(product(b,c),b),product(c,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,c),b),product(c,c))),product(a,product(product(product(b,c),b),product(c,c)))) )],[refute_0_3101,refute_0_3102]) ).

cnf(refute_0_3104,plain,
    product(a,product(product(product(b,c),b),product(c,c))) = product(a,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),b),product(c,c)),product(bigC(b,b,c),c)) )],[refute_0_3100,refute_0_3103]) ).

cnf(refute_0_3105,plain,
    product(a,product(product(product(b,c),c),product(b,c))) = product(a,product(product(product(b,c),b),product(c,c))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(a)),bind(X_63,$fot(product(b,c))),bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3106,plain,
    ( product(a,product(product(product(b,c),b),product(c,c))) != product(a,product(bigC(b,b,c),c))
    | product(a,product(product(product(b,c),c),product(b,c))) != product(a,product(product(product(b,c),b),product(c,c)))
    | product(a,product(product(product(b,c),c),product(b,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(a,product(product(product(b,c),c),product(b,c))))),bind(Y,$fot(product(a,product(product(product(b,c),b),product(c,c))))),bind(Z,$fot(product(a,product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_3107,plain,
    ( product(a,product(product(product(b,c),b),product(c,c))) != product(a,product(bigC(b,b,c),c))
    | product(a,product(product(product(b,c),c),product(b,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,c),c),product(b,c))),product(a,product(product(product(b,c),b),product(c,c)))) )],[refute_0_3105,refute_0_3106]) ).

cnf(refute_0_3108,plain,
    product(a,product(product(product(b,c),c),product(b,c))) = product(a,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,c),b),product(c,c))),product(a,product(bigC(b,b,c),c))) )],[refute_0_3104,refute_0_3107]) ).

cnf(refute_0_3109,plain,
    product(product(a,product(product(b,c),c)),product(a,product(b,c))) = product(a,product(product(product(b,c),c),product(b,c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(product(product(b,c),c))),bind(X_66,$fot(product(b,c)))]]) ).

cnf(refute_0_3110,plain,
    ( product(a,product(product(product(b,c),c),product(b,c))) != product(a,product(bigC(b,b,c),c))
    | product(product(a,product(product(b,c),c)),product(a,product(b,c))) != product(a,product(product(product(b,c),c),product(b,c)))
    | product(product(a,product(product(b,c),c)),product(a,product(b,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(product(b,c),c)),product(a,product(b,c))))),bind(Y,$fot(product(a,product(product(product(b,c),c),product(b,c))))),bind(Z,$fot(product(a,product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_3111,plain,
    ( product(a,product(product(product(b,c),c),product(b,c))) != product(a,product(bigC(b,b,c),c))
    | product(product(a,product(product(b,c),c)),product(a,product(b,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(product(product(b,c),c),product(b,c)))) )],[refute_0_3109,refute_0_3110]) ).

cnf(refute_0_3112,plain,
    product(product(a,product(product(b,c),c)),product(a,product(b,c))) = product(a,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,c),c),product(b,c))),product(a,product(bigC(b,b,c),c))) )],[refute_0_3108,refute_0_3111]) ).

cnf(refute_0_3113,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))]]) ).

cnf(refute_0_3114,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) != product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(product(a,product(product(b,c),c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) ),[1,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_3115,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(product(a,product(product(b,c),c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) )],[refute_0_3113,refute_0_3114]) ).

cnf(refute_0_3116,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(product(a,product(product(b,c),c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(product(b,c),c))) )],[refute_0_3060,refute_0_3115]) ).

cnf(refute_0_3117,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) != product(product(a,product(product(b,c),c)),product(a,product(b,c)))
    | product(product(a,product(product(b,c),c)),product(a,product(b,c))) != product(a,product(bigC(b,b,c),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),bind(Y,$fot(product(product(a,product(product(b,c),c)),product(a,product(b,c))))),bind(Z,$fot(product(a,product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_3118,plain,
    ( product(product(a,product(product(b,c),c)),product(a,product(b,c))) != product(a,product(bigC(b,b,c),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(a,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(product(a,product(product(b,c),c)),product(a,product(b,c)))) )],[refute_0_3116,refute_0_3117]) ).

cnf(refute_0_3119,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) = product(a,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(bigC(b,b,c),c))) )],[refute_0_3112,refute_0_3118]) ).

cnf(refute_0_3120,plain,
    product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))]]) ).

cnf(refute_0_3121,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) != product(a,product(bigC(b,b,c),c))
    | product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))
    | product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) ),[1,1],$fot(product(a,product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_3122,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))) != product(a,product(bigC(b,b,c),c))
    | product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) )],[refute_0_3120,refute_0_3121]) ).

cnf(refute_0_3123,plain,
    product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(a,product(bigC(b,b,c),c))) )],[refute_0_3119,refute_0_3122]) ).

cnf(refute_0_3124,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))]]) ).

cnf(refute_0_3125,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) ),[1,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_3126,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) )],[refute_0_3124,refute_0_3125]) ).

cnf(refute_0_3127,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(product(b,c),c))) )],[refute_0_3060,refute_0_3126]) ).

cnf(refute_0_3128,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))
    | product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))),bind(Y,$fot(product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))),bind(Z,$fot(product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c)))))]]) ).

cnf(refute_0_3129,plain,
    ( product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c)))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) )],[refute_0_3127,refute_0_3128]) ).

cnf(refute_0_3130,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c)))) )],[refute_0_3123,refute_0_3129]) ).

cnf(refute_0_3131,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c)))
    | product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) != product(a,product(product(product(b,c),bigC(b,b,c)),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))),bind(Y,$fot(product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))))),bind(Z,$fot(product(a,product(product(product(b,c),bigC(b,b,c)),c))))]]) ).

cnf(refute_0_3132,plain,
    ( product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))) != product(a,product(product(product(b,c),bigC(b,b,c)),c))
    | product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c)))) )],[refute_0_3130,refute_0_3131]) ).

cnf(refute_0_3133,plain,
    product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) = product(a,product(product(product(b,c),bigC(b,b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(a,product(bigC(b,b,c),c))),product(a,product(product(product(b,c),bigC(b,b,c)),c))) )],[refute_0_3085,refute_0_3132]) ).

cnf(refute_0_3134,plain,
    product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))]]) ).

cnf(refute_0_3135,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(a,product(product(product(b,c),bigC(b,b,c)),c))
    | product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))
    | product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))) ),[1,1],$fot(product(a,product(product(product(b,c),bigC(b,b,c)),c)))]]) ).

cnf(refute_0_3136,plain,
    ( product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))) != product(a,product(product(product(b,c),bigC(b,b,c)),c))
    | product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))) )],[refute_0_3134,refute_0_3135]) ).

cnf(refute_0_3137,plain,
    product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))),product(a,product(product(product(b,c),bigC(b,b,c)),c))) )],[refute_0_3133,refute_0_3136]) ).

cnf(refute_0_3138,plain,
    product(product(b,b),product(product(b,c),c)) = product(product(b,b),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(product(b,c),c)))]]) ).

cnf(refute_0_3139,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(b,c),c)) != product(product(b,b),product(product(b,c),c))
    | product(product(b,b),product(product(b,c),c)) = product(b,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(product(b,c),c)),product(product(b,b),product(product(b,c),c))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_3140,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(b,c),c)) = product(b,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(b,c),c)),product(product(b,b),product(product(b,c),c))) )],[refute_0_3138,refute_0_3139]) ).

cnf(refute_0_3141,plain,
    product(product(b,b),product(product(b,c),c)) = product(b,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_3140]) ).

cnf(refute_0_3142,plain,
    product(product(product(b,b),product(product(b,c),c)),c) = product(product(product(b,b),product(product(b,c),c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,b),product(product(b,c),c)),c))]]) ).

cnf(refute_0_3143,plain,
    ( product(product(b,b),product(product(b,c),c)) != product(b,product(product(b,c),c))
    | product(product(product(b,b),product(product(b,c),c)),c) != product(product(product(b,b),product(product(b,c),c)),c)
    | product(product(product(b,b),product(product(b,c),c)),c) = product(product(b,product(product(b,c),c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,b),product(product(b,c),c)),c),product(product(product(b,b),product(product(b,c),c)),c)) ),[1,0],$fot(product(b,product(product(b,c),c)))]]) ).

cnf(refute_0_3144,plain,
    ( product(product(b,b),product(product(b,c),c)) != product(b,product(product(b,c),c))
    | product(product(product(b,b),product(product(b,c),c)),c) = product(product(b,product(product(b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,b),product(product(b,c),c)),c),product(product(product(b,b),product(product(b,c),c)),c)) )],[refute_0_3142,refute_0_3143]) ).

cnf(refute_0_3145,plain,
    product(product(product(b,b),product(product(b,c),c)),c) = product(product(b,product(product(b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(b,c),c)),product(b,product(product(b,c),c))) )],[refute_0_3141,refute_0_3144]) ).

cnf(refute_0_3146,plain,
    product(product(product(b,product(b,c)),product(b,c)),c) = product(product(product(b,b),product(product(b,c),c)),c),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(b)),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3147,plain,
    product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(product(b,product(b,c)),product(b,c)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(b,product(b,c)))),bind(X_64,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3148,plain,
    ( product(product(product(b,product(b,c)),c),product(product(b,c),c)) != product(product(product(b,product(b,c)),product(b,c)),c)
    | product(product(product(b,product(b,c)),product(b,c)),c) != product(product(product(b,b),product(product(b,c),c)),c)
    | product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(product(b,b),product(product(b,c),c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(b,c)),c),product(product(b,c),c)))),bind(Y,$fot(product(product(product(b,product(b,c)),product(b,c)),c))),bind(Z,$fot(product(product(product(b,b),product(product(b,c),c)),c)))]]) ).

cnf(refute_0_3149,plain,
    ( product(product(product(b,product(b,c)),product(b,c)),c) != product(product(product(b,b),product(product(b,c),c)),c)
    | product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(product(b,b),product(product(b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),c),product(product(b,c),c)),product(product(product(b,product(b,c)),product(b,c)),c)) )],[refute_0_3147,refute_0_3148]) ).

cnf(refute_0_3150,plain,
    product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(product(b,b),product(product(b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),product(b,c)),c),product(product(product(b,b),product(product(b,c),c)),c)) )],[refute_0_3146,refute_0_3149]) ).

cnf(refute_0_3151,plain,
    ( product(product(product(b,b),product(product(b,c),c)),c) != product(product(b,product(product(b,c),c)),c)
    | product(product(product(b,product(b,c)),c),product(product(b,c),c)) != product(product(product(b,b),product(product(b,c),c)),c)
    | product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(b,product(product(b,c),c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(b,c)),c),product(product(b,c),c)))),bind(Y,$fot(product(product(product(b,b),product(product(b,c),c)),c))),bind(Z,$fot(product(product(b,product(product(b,c),c)),c)))]]) ).

cnf(refute_0_3152,plain,
    ( product(product(product(b,b),product(product(b,c),c)),c) != product(product(b,product(product(b,c),c)),c)
    | product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(b,product(product(b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),c),product(product(b,c),c)),product(product(product(b,b),product(product(b,c),c)),c)) )],[refute_0_3150,refute_0_3151]) ).

cnf(refute_0_3153,plain,
    product(product(product(b,product(b,c)),c),product(product(b,c),c)) = product(product(b,product(product(b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,b),product(product(b,c),c)),c),product(product(b,product(product(b,c),c)),c)) )],[refute_0_3145,refute_0_3152]) ).

cnf(refute_0_3154,plain,
    product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))))]]) ).

cnf(refute_0_3155,plain,
    ( product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c)))
    | product(product(product(b,product(b,c)),c),product(product(b,c),c)) != product(product(b,product(product(b,c),c)),c)
    | product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(b,product(product(b,c),c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c)))) ),[1,1],$fot(product(product(b,product(product(b,c),c)),c))]]) ).

cnf(refute_0_3156,plain,
    ( product(product(product(b,product(b,c)),c),product(product(b,c),c)) != product(product(b,product(product(b,c),c)),c)
    | product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(b,product(product(b,c),c)),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c)))) )],[refute_0_3154,refute_0_3155]) ).

cnf(refute_0_3157,plain,
    product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(b,product(product(b,c),c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),c),product(product(b,c),c)),product(product(b,product(product(b,c),c)),c)) )],[refute_0_3153,refute_0_3156]) ).

cnf(refute_0_3158,plain,
    product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))))]]) ).

cnf(refute_0_3159,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c)))
    | product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_3160,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c)))) )],[refute_0_3158,refute_0_3159]) ).

cnf(refute_0_3161,plain,
    product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_3160]) ).

cnf(refute_0_3162,plain,
    ( product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(a,product(product(b,product(product(b,c),c)),c))
    | product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c)))
    | product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(b,product(product(b,c),c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))))),bind(Y,$fot(product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))))),bind(Z,$fot(product(a,product(product(b,product(product(b,c),c)),c))))]]) ).

cnf(refute_0_3163,plain,
    ( product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(a,product(product(b,product(product(b,c),c)),c))
    | product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(b,product(product(b,c),c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c)))) )],[refute_0_3161,refute_0_3162]) ).

cnf(refute_0_3164,plain,
    product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) = product(a,product(product(b,product(product(b,c),c)),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(a,product(product(b,product(product(b,c),c)),c))) )],[refute_0_3157,refute_0_3163]) ).

cnf(refute_0_3165,plain,
    product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))]]) ).

cnf(refute_0_3166,plain,
    ( product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(a,product(product(b,product(product(b,c),c)),c))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))) ),[1,0],$fot(product(a,product(product(b,product(product(b,c),c)),c)))]]) ).

cnf(refute_0_3167,plain,
    ( product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))) != product(a,product(product(b,product(product(b,c),c)),c))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))) )],[refute_0_3165,refute_0_3166]) ).

cnf(refute_0_3168,plain,
    product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(a,product(product(b,product(product(b,c),c)),c))) )],[refute_0_3164,refute_0_3167]) ).

cnf(refute_0_3169,plain,
    ( product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c)))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))),bind(Y,$fot(product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))),bind(Z,$fot(product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c)))))]]) ).

cnf(refute_0_3170,plain,
    ( product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c)))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))) )],[refute_0_3168,refute_0_3169]) ).

cnf(refute_0_3171,plain,
    product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,product(product(b,c),c)),c)),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c)))) )],[refute_0_3137,refute_0_3170]) ).

cnf(refute_0_3172,plain,
    ( product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c)))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))),bind(Y,$fot(product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))))),bind(Z,$fot(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))))]]) ).

cnf(refute_0_3173,plain,
    ( product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c)))) )],[refute_0_3171,refute_0_3172]) ).

cnf(refute_0_3174,plain,
    product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,product(product(b,c),c)),c)),product(a,product(product(product(b,c),bigC(b,b,c)),c))),product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) )],[refute_0_3076,refute_0_3173]) ).

cnf(refute_0_3175,plain,
    product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(product(product(b,product(b,c)),c))),bind(X_66,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_3176,plain,
    ( product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))
    | product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))),bind(Y,$fot(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))))),bind(Z,$fot(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))))]]) ).

cnf(refute_0_3177,plain,
    ( product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c)))))) )],[refute_0_3175,refute_0_3176]) ).

cnf(refute_0_3178,plain,
    product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) = product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(product(b,product(b,c)),c),product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) )],[refute_0_3174,refute_0_3177]) ).

cnf(refute_0_3179,plain,
    ( product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) ),[0],$fot(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)))]]) ).

cnf(refute_0_3180,plain,
    ( product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) = difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) )],[refute_0_3178,refute_0_3179]) ).

cnf(refute_0_3181,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) ),[1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_3182,plain,
    ( product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(product(b,c),c))) )],[refute_0_3060,refute_0_3181]) ).

cnf(refute_0_3183,plain,
    ( product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))) != difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_3180,refute_0_3182]) ).

cnf(refute_0_3184,plain,
    product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,c),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))))),difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_3063,refute_0_3183]) ).

cnf(refute_0_3185,plain,
    ( difference(a,product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) != product(a,product(product(b,c),c))
    | difference(a,product(a,product(product(b,c),c))) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),[0,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_3186,plain,
    ( difference(a,product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | difference(a,product(a,product(product(b,c),c))) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)),product(a,product(product(b,c),c))) )],[refute_0_3184,refute_0_3185]) ).

cnf(refute_0_3187,plain,
    difference(a,product(a,product(product(b,c),c))) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c))),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) )],[refute_0_2851,refute_0_3186]) ).

cnf(refute_0_3188,plain,
    ( difference(a,product(a,product(product(b,c),c))) != product(product(b,c),c)
    | difference(a,product(a,product(product(b,c),c))) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(product(b,c),c) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(b,c),c))),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) ),[0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_3189,plain,
    ( difference(a,product(a,product(product(b,c),c))) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(product(b,c),c) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(b,c),c))),product(product(b,c),c)) )],[refute_0_2666,refute_0_3188]) ).

cnf(refute_0_3190,plain,
    product(product(b,c),c) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(b,c),c))),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) )],[refute_0_3187,refute_0_3189]) ).

cnf(refute_0_3191,plain,
    ( product(product(b,c),c) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)
    | product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(b,c),c))),bind(Y,$fot(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)))]]) ).

cnf(refute_0_3192,plain,
    product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c)) )],[refute_0_3190,refute_0_3191]) ).

cnf(refute_0_3193,plain,
    ( product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) != product(product(b,c),c)
    | quotient(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),c) != product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))
    | quotient(product(product(b,c),c),c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),c),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) ),[0,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_3194,plain,
    ( quotient(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),c) != product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))
    | quotient(product(product(b,c),c),c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(product(b,c),c)) )],[refute_0_3192,refute_0_3193]) ).

cnf(refute_0_3195,plain,
    quotient(product(product(b,c),c),c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),c),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) )],[refute_0_2850,refute_0_3194]) ).

cnf(refute_0_3196,plain,
    quotient(product(product(b,c),c),c) = product(b,c),
    inference(subst,[],[sos03:[bind(A,$fot(product(b,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_3197,plain,
    ( quotient(product(product(b,c),c),c) != product(b,c)
    | quotient(product(product(b,c),c),c) != product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))
    | product(b,c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,c),c),c),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_3198,plain,
    ( quotient(product(product(b,c),c),c) != product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))
    | product(b,c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),c),product(b,c)) )],[refute_0_3196,refute_0_3197]) ).

cnf(refute_0_3199,plain,
    product(b,c) = product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,c),c),c),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) )],[refute_0_3195,refute_0_3198]) ).

cnf(refute_0_3200,plain,
    ( product(b,c) != product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))
    | product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))))]]) ).

cnf(refute_0_3201,plain,
    product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) )],[refute_0_3199,refute_0_3200]) ).

cnf(refute_0_3202,plain,
    ( difference(product(b,product(b,c)),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) != product(product(product(b,c),c),bigC(b,b,c))
    | product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) != product(b,c)
    | difference(product(b,product(b,c)),product(b,c)) = product(product(product(b,c),c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(b,c)),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))),product(product(product(b,c),c),bigC(b,b,c))) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_3203,plain,
    ( difference(product(b,product(b,c)),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))) != product(product(product(b,c),c),bigC(b,b,c))
    | difference(product(b,product(b,c)),product(b,c)) = product(product(product(b,c),c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),product(b,c)) )],[refute_0_3201,refute_0_3202]) ).

cnf(refute_0_3204,plain,
    difference(product(b,product(b,c)),product(b,c)) = product(product(product(b,c),c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))),product(product(product(b,c),c),bigC(b,b,c))) )],[refute_0_2849,refute_0_3203]) ).

cnf(refute_0_3205,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != product(product(product(b,c),c),bigC(b,b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) = difference(product(b,product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,product(b,c)),product(b,c)))),bind(Y,$fot(product(product(product(b,c),c),bigC(b,b,c))))]]) ).

cnf(refute_0_3206,plain,
    product(product(product(b,c),c),bigC(b,b,c)) = difference(product(b,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) )],[refute_0_3204,refute_0_3205]) ).

cnf(refute_0_3207,plain,
    ( difference(product(product(b,c),c),product(product(product(b,c),c),bigC(b,b,c))) != bigC(b,b,c)
    | product(product(product(b,c),c),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),c),product(product(product(b,c),c),bigC(b,b,c))),bigC(b,b,c)) ),[0,1],$fot(difference(product(b,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_3208,plain,
    ( difference(product(product(b,c),c),product(product(product(b,c),c),bigC(b,b,c))) != bigC(b,b,c)
    | difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),difference(product(b,product(b,c)),product(b,c))) )],[refute_0_3206,refute_0_3207]) ).

cnf(refute_0_3209,plain,
    difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),c),product(product(product(b,c),c),bigC(b,b,c))),bigC(b,b,c)) )],[refute_0_2848,refute_0_3208]) ).

cnf(refute_0_3210,plain,
    difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_3211,plain,
    ( difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c)))
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c)))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3212,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c)))) )],[refute_0_3210,refute_0_3211]) ).

cnf(refute_0_3213,plain,
    difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_3212]) ).

cnf(refute_0_3214,plain,
    ( difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != bigC(b,b,c)
    | difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c)))
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),bigC(b,b,c)) ),[0],$fot(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_3215,plain,
    ( difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != bigC(b,b,c)
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c)))) )],[refute_0_3213,refute_0_3214]) ).

cnf(refute_0_3216,plain,
    difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),bigC(b,b,c)) )],[refute_0_3209,refute_0_3215]) ).

cnf(refute_0_3217,plain,
    product(product(c,b),product(b,c)) = bigC(c,b,b),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_3218,plain,
    difference(product(product(b,c),c),bigC(product(b,c),c,X_23)) = product(X_23,product(b,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(b,c))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_3219,plain,
    ( difference(product(product(b,c),c),bigC(product(b,c),c,X_23)) != product(X_23,product(b,c))
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = product(X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),c),bigC(product(b,c),c,X_23)),product(X_23,product(b,c))) ),[0,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3220,plain,
    ( difference(product(product(b,c),c),bigC(product(b,c),c,X_23)) != product(X_23,product(b,c))
    | difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = product(X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_3219]) ).

cnf(refute_0_3221,plain,
    difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = product(X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),c),bigC(product(b,c),c,X_23)),product(X_23,product(b,c))) )],[refute_0_3218,refute_0_3220]) ).

cnf(refute_0_3222,plain,
    bigC(difference(c,bigC(b,a,b)),X_22,c) = product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(b,a,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_3223,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(product(b,c),X_22,c) = product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_3224,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(product(b,c),X_22,c) = product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_3223]) ).

cnf(refute_0_3225,plain,
    bigC(product(b,c),X_22,c) = product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_3222,refute_0_3224]) ).

cnf(refute_0_3226,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),X_22,c) = product(product(product(b,c),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) ),[1,0,0],$fot(product(b,c))]]) ).

cnf(refute_0_3227,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(difference(c,bigC(b,a,b)),X_22,c) = product(product(product(b,c),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_3226]) ).

cnf(refute_0_3228,plain,
    bigC(difference(c,bigC(b,a,b)),X_22,c) = product(product(product(b,c),X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_3222,refute_0_3227]) ).

cnf(refute_0_3229,plain,
    bigC(difference(c,bigC(b,a,b)),X_22,c) = bigC(difference(c,bigC(b,a,b)),X_22,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,bigC(b,a,b)),X_22,c))]]) ).

cnf(refute_0_3230,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != bigC(difference(c,bigC(b,a,b)),X_22,c)
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),X_22,c) = bigC(product(b,c),X_22,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),bigC(difference(c,bigC(b,a,b)),X_22,c)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_3231,plain,
    ( difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),X_22,c) = bigC(product(b,c),X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),bigC(difference(c,bigC(b,a,b)),X_22,c)) )],[refute_0_3229,refute_0_3230]) ).

cnf(refute_0_3232,plain,
    bigC(difference(c,bigC(b,a,b)),X_22,c) = bigC(product(b,c),X_22,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_3231]) ).

cnf(refute_0_3233,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != bigC(product(b,c),X_22,c)
    | bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(product(b,c),X_22),bigC(b,a,b))
    | bigC(product(b,c),X_22,c) = product(product(product(b,c),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),product(product(product(b,c),X_22),bigC(b,a,b))) ),[0],$fot(bigC(product(b,c),X_22,c))]]) ).

cnf(refute_0_3234,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(product(b,c),X_22),bigC(b,a,b))
    | bigC(product(b,c),X_22,c) = product(product(product(b,c),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),bigC(product(b,c),X_22,c)) )],[refute_0_3232,refute_0_3233]) ).

cnf(refute_0_3235,plain,
    bigC(product(b,b),product(c,a),X_22) = bigC(product(b,b),product(c,a),X_22),
    introduced(tautology,[refl,[$fot(bigC(product(b,b),product(c,a),X_22))]]) ).

cnf(refute_0_3236,plain,
    ( bigC(product(b,b),product(c,a),X_22) != bigC(product(b,b),product(c,a),X_22)
    | product(b,b) != b
    | bigC(product(b,b),product(c,a),X_22) = bigC(b,product(c,a),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,b),product(c,a),X_22),bigC(product(b,b),product(c,a),X_22)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_3237,plain,
    ( product(b,b) != b
    | bigC(product(b,b),product(c,a),X_22) = bigC(b,product(c,a),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(c,a),X_22),bigC(product(b,b),product(c,a),X_22)) )],[refute_0_3235,refute_0_3236]) ).

cnf(refute_0_3238,plain,
    bigC(product(b,b),product(c,a),X_22) = bigC(b,product(c,a),X_22),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_3237]) ).

cnf(refute_0_3239,plain,
    product(product(product(b,c),X_22),bigC(b,a,b)) = bigC(product(b,b),product(c,a),X_22),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(X_22)),bind(X_63,$fot(b)),bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_3240,plain,
    ( bigC(product(b,b),product(c,a),X_22) != bigC(b,product(c,a),X_22)
    | product(product(product(b,c),X_22),bigC(b,a,b)) != bigC(product(b,b),product(c,a),X_22)
    | product(product(product(b,c),X_22),bigC(b,a,b)) = bigC(b,product(c,a),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),X_22),bigC(b,a,b)))),bind(Y,$fot(bigC(product(b,b),product(c,a),X_22))),bind(Z,$fot(bigC(b,product(c,a),X_22)))]]) ).

cnf(refute_0_3241,plain,
    ( bigC(product(b,b),product(c,a),X_22) != bigC(b,product(c,a),X_22)
    | product(product(product(b,c),X_22),bigC(b,a,b)) = bigC(b,product(c,a),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_22),bigC(b,a,b)),bigC(product(b,b),product(c,a),X_22)) )],[refute_0_3239,refute_0_3240]) ).

cnf(refute_0_3242,plain,
    product(product(product(b,c),X_22),bigC(b,a,b)) = bigC(b,product(c,a),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(c,a),X_22),bigC(b,product(c,a),X_22)) )],[refute_0_3238,refute_0_3241]) ).

cnf(refute_0_3243,plain,
    ( bigC(product(b,c),X_22,c) != product(product(product(b,c),X_22),bigC(b,a,b))
    | product(product(product(b,c),X_22),bigC(b,a,b)) != bigC(b,product(c,a),X_22)
    | bigC(product(b,c),X_22,c) = bigC(b,product(c,a),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),X_22,c),bigC(b,product(c,a),X_22)) ),[0],$fot(product(product(product(b,c),X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_3244,plain,
    ( bigC(product(b,c),X_22,c) != product(product(product(b,c),X_22),bigC(b,a,b))
    | bigC(product(b,c),X_22,c) = bigC(b,product(c,a),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_22),bigC(b,a,b)),bigC(b,product(c,a),X_22)) )],[refute_0_3242,refute_0_3243]) ).

cnf(refute_0_3245,plain,
    ( bigC(difference(c,bigC(b,a,b)),X_22,c) != product(product(product(b,c),X_22),bigC(b,a,b))
    | bigC(product(b,c),X_22,c) = bigC(b,product(c,a),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,c),product(product(product(b,c),X_22),bigC(b,a,b))) )],[refute_0_3234,refute_0_3244]) ).

cnf(refute_0_3246,plain,
    bigC(product(b,c),X_22,c) = bigC(b,product(c,a),X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),X_22,c),product(product(product(b,c),X_22),bigC(b,a,b))) )],[refute_0_3228,refute_0_3245]) ).

cnf(refute_0_3247,plain,
    ( bigC(product(b,c),X_22,c) != bigC(b,product(c,a),X_22)
    | bigC(product(b,c),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,product(c,a),X_22) = product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),X_22,c),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) ),[0],$fot(bigC(b,product(c,a),X_22))]]) ).

cnf(refute_0_3248,plain,
    ( bigC(product(b,c),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,product(c,a),X_22) = product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,c),bigC(b,product(c,a),X_22)) )],[refute_0_3246,refute_0_3247]) ).

cnf(refute_0_3249,plain,
    bigC(difference(c,bigC(b,a,b)),c,X_22) = bigC(difference(c,bigC(b,a,b)),c,X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(c,bigC(b,a,b)),c,X_22))]]) ).

cnf(refute_0_3250,plain,
    ( bigC(difference(c,bigC(b,a,b)),c,X_22) != bigC(difference(c,bigC(b,a,b)),c,X_22)
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),c,X_22) = bigC(product(b,c),c,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),c,X_22),bigC(difference(c,bigC(b,a,b)),c,X_22)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_3251,plain,
    ( difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(difference(c,bigC(b,a,b)),c,X_22) = bigC(product(b,c),c,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),c,X_22),bigC(difference(c,bigC(b,a,b)),c,X_22)) )],[refute_0_3249,refute_0_3250]) ).

cnf(refute_0_3252,plain,
    bigC(difference(c,bigC(b,a,b)),c,X_22) = bigC(product(b,c),c,X_22),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_3251]) ).

cnf(refute_0_3253,plain,
    bigC(difference(X_23,B),X_22,X_23) = bigC(difference(X_23,B),X_23,X_22),
    inference(subst,[],[refute_0_12:[bind(A,$fot(difference(X_23,B))),bind(B,$fot(X_22)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_3254,plain,
    ( bigC(difference(X_23,B),X_22,X_23) != bigC(difference(X_23,B),X_23,X_22)
    | bigC(difference(X_23,B),X_22,X_23) != product(product(difference(X_23,B),X_22),B)
    | bigC(difference(X_23,B),X_23,X_22) = product(product(difference(X_23,B),X_22),B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_23,B),X_22,X_23),product(product(difference(X_23,B),X_22),B)) ),[0],$fot(bigC(difference(X_23,B),X_23,X_22))]]) ).

cnf(refute_0_3255,plain,
    ( bigC(difference(X_23,B),X_22,X_23) != product(product(difference(X_23,B),X_22),B)
    | bigC(difference(X_23,B),X_23,X_22) = product(product(difference(X_23,B),X_22),B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,B),X_22,X_23),bigC(difference(X_23,B),X_23,X_22)) )],[refute_0_3253,refute_0_3254]) ).

cnf(refute_0_3256,plain,
    bigC(difference(X_23,B),X_23,X_22) = product(product(difference(X_23,B),X_22),B),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,B),X_22,X_23),product(product(difference(X_23,B),X_22),B)) )],[refute_0_27,refute_0_3255]) ).

cnf(refute_0_3257,plain,
    ( bigC(difference(X_23,B),X_23,X_22) != product(product(difference(X_23,B),X_22),B)
    | product(product(difference(X_23,B),X_22),B) = bigC(difference(X_23,B),X_23,X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(difference(X_23,B),X_23,X_22))),bind(Y,$fot(product(product(difference(X_23,B),X_22),B)))]]) ).

cnf(refute_0_3258,plain,
    product(product(difference(X_23,B),X_22),B) = bigC(difference(X_23,B),X_23,X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,B),X_23,X_22),product(product(difference(X_23,B),X_22),B)) )],[refute_0_3256,refute_0_3257]) ).

cnf(refute_0_3259,plain,
    product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(difference(c,bigC(b,a,b)),c,X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(bigC(b,a,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_3260,plain,
    ( bigC(difference(c,bigC(b,a,b)),c,X_22) != bigC(product(b,c),c,X_22)
    | product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) != bigC(difference(c,bigC(b,a,b)),c,X_22)
    | product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(product(b,c),c,X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)))),bind(Y,$fot(bigC(difference(c,bigC(b,a,b)),c,X_22))),bind(Z,$fot(bigC(product(b,c),c,X_22)))]]) ).

cnf(refute_0_3261,plain,
    ( bigC(difference(c,bigC(b,a,b)),c,X_22) != bigC(product(b,c),c,X_22)
    | product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(product(b,c),c,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)),bigC(difference(c,bigC(b,a,b)),c,X_22)) )],[refute_0_3259,refute_0_3260]) ).

cnf(refute_0_3262,plain,
    product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(product(b,c),c,X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(b,a,b)),c,X_22),bigC(product(b,c),c,X_22)) )],[refute_0_3252,refute_0_3261]) ).

cnf(refute_0_3263,plain,
    ( bigC(b,product(c,a),X_22) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)) != bigC(product(b,c),c,X_22)
    | bigC(b,product(c,a),X_22) = bigC(product(b,c),c,X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),X_22),bigC(product(b,c),c,X_22)) ),[0],$fot(product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_3264,plain,
    ( bigC(b,product(c,a),X_22) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,product(c,a),X_22) = bigC(product(b,c),c,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b)),bigC(product(b,c),c,X_22)) )],[refute_0_3262,refute_0_3263]) ).

cnf(refute_0_3265,plain,
    ( bigC(product(b,c),X_22,c) != product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,product(c,a),X_22) = bigC(product(b,c),c,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_22),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_3248,refute_0_3264]) ).

cnf(refute_0_3266,plain,
    bigC(b,product(c,a),X_22) = bigC(product(b,c),c,X_22),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,c),product(product(difference(c,bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_3225,refute_0_3265]) ).

cnf(refute_0_3267,plain,
    ( bigC(b,product(c,a),X_22) != bigC(product(b,c),c,X_22)
    | bigC(product(b,c),c,X_22) = bigC(b,product(c,a),X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,product(c,a),X_22))),bind(Y,$fot(bigC(product(b,c),c,X_22)))]]) ).

cnf(refute_0_3268,plain,
    bigC(product(b,c),c,X_22) = bigC(b,product(c,a),X_22),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_22),bigC(product(b,c),c,X_22)) )],[refute_0_3266,refute_0_3267]) ).

cnf(refute_0_3269,plain,
    bigC(product(b,c),c,X_23) = bigC(b,product(c,a),X_23),
    inference(subst,[],[refute_0_3268:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_3270,plain,
    difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)),
    introduced(tautology,[refl,[$fot(difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)))]]) ).

cnf(refute_0_3271,plain,
    ( bigC(product(b,c),c,X_23) != bigC(b,product(c,a),X_23)
    | difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) != difference(product(b,product(a,c)),bigC(product(b,c),c,X_23))
    | difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)),difference(product(b,product(a,c)),bigC(product(b,c),c,X_23))) ),[1,1],$fot(bigC(b,product(c,a),X_23))]]) ).

cnf(refute_0_3272,plain,
    ( bigC(product(b,c),c,X_23) != bigC(b,product(c,a),X_23)
    | difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)),difference(product(b,product(a,c)),bigC(product(b,c),c,X_23))) )],[refute_0_3270,refute_0_3271]) ).

cnf(refute_0_3273,plain,
    difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) = difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,X_23),bigC(b,product(c,a),X_23)) )],[refute_0_3269,refute_0_3272]) ).

cnf(refute_0_3274,plain,
    ( difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) != difference(product(b,product(a,c)),bigC(b,product(c,a),X_23))
    | difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) != product(X_23,product(b,c))
    | difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)) = product(X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)),product(X_23,product(b,c))) ),[0],$fot(difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)))]]) ).

cnf(refute_0_3275,plain,
    ( difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)) != product(X_23,product(b,c))
    | difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)) = product(X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)),difference(product(b,product(a,c)),bigC(b,product(c,a),X_23))) )],[refute_0_3273,refute_0_3274]) ).

cnf(refute_0_3276,plain,
    difference(product(b,product(a,c)),bigC(b,product(c,a),X_23)) = product(X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(product(b,c),c,X_23)),product(X_23,product(b,c))) )],[refute_0_3221,refute_0_3275]) ).

cnf(refute_0_3277,plain,
    difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) = product(product(c,b),product(b,c)),
    inference(subst,[],[refute_0_3276:[bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_3278,plain,
    ( difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) != product(product(c,b),product(b,c))
    | product(product(c,b),product(b,c)) != bigC(c,b,b)
    | difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))))),bind(Y,$fot(product(product(c,b),product(b,c)))),bind(Z,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_3279,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))),product(product(c,b),product(b,c))) )],[refute_0_3277,refute_0_3278]) ).

cnf(refute_0_3280,plain,
    difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_3279]) ).

cnf(refute_0_3281,plain,
    bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = product(product(bigC(b,b,c),bigC(a,a,b)),bigC(b,b,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(b,b,c))),bind(X_22,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_3282,plain,
    bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,a),product(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(b,a))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_3283,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(product(b,a),product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_3284,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(product(c,b),product(b,a)))
    | bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3283]) ).

cnf(refute_0_3285,plain,
    bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(product(b,a),product(product(c,b),product(b,a)))) )],[refute_0_3282,refute_0_3284]) ).

cnf(refute_0_3286,plain,
    product(product(b,product(c,b)),bigC(a,a,b)) = product(bigC(b,b,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b)),bind(D,$fot(a))]]) ).

cnf(refute_0_3287,plain,
    bigC(product(b,a),product(b,a),product(c,b)) = product(product(b,product(c,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(product(c,b))),bind(C,$fot(a))]]) ).

cnf(refute_0_3288,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,product(c,b)),bigC(a,a,b))
    | product(product(b,product(c,b)),bigC(a,a,b)) != product(bigC(b,b,c),bigC(a,a,b))
    | bigC(product(b,a),product(b,a),product(c,b)) = product(bigC(b,b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),product(b,a),product(c,b)))),bind(Y,$fot(product(product(b,product(c,b)),bigC(a,a,b)))),bind(Z,$fot(product(bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_3289,plain,
    ( product(product(b,product(c,b)),bigC(a,a,b)) != product(bigC(b,b,c),bigC(a,a,b))
    | bigC(product(b,a),product(b,a),product(c,b)) = product(bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(product(b,product(c,b)),bigC(a,a,b))) )],[refute_0_3287,refute_0_3288]) ).

cnf(refute_0_3290,plain,
    bigC(product(b,a),product(b,a),product(c,b)) = product(bigC(b,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,b)),bigC(a,a,b)),product(bigC(b,b,c),bigC(a,a,b))) )],[refute_0_3286,refute_0_3289]) ).

cnf(refute_0_3291,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(bigC(b,b,c),bigC(a,a,b))
    | bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(b,c))
    | product(bigC(b,b,c),bigC(a,a,b)) = product(product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(product(b,a),product(b,c))) ),[0],$fot(product(bigC(b,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_3292,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(b,c))
    | product(bigC(b,b,c),bigC(a,a,b)) = product(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(bigC(b,b,c),bigC(a,a,b))) )],[refute_0_3290,refute_0_3291]) ).

cnf(refute_0_3293,plain,
    product(product(b,a),product(b,c)) = product(b,product(a,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3294,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(product(b,a),product(b,c))
    | product(product(b,a),product(b,c)) != product(b,product(a,c))
    | product(bigC(b,b,c),bigC(a,a,b)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,b,c),bigC(a,a,b)),product(b,product(a,c))) ),[0],$fot(product(product(b,a),product(b,c)))]]) ).

cnf(refute_0_3295,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(product(b,a),product(b,c))
    | product(bigC(b,b,c),bigC(a,a,b)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,c)),product(b,product(a,c))) )],[refute_0_3293,refute_0_3294]) ).

cnf(refute_0_3296,plain,
    ( bigC(product(b,a),product(b,a),product(c,b)) != product(product(b,a),product(b,c))
    | product(bigC(b,b,c),bigC(a,a,b)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,a,b)),product(product(b,a),product(b,c))) )],[refute_0_3292,refute_0_3295]) ).

cnf(refute_0_3297,plain,
    product(bigC(b,b,c),bigC(a,a,b)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),product(c,b)),product(product(b,a),product(b,c))) )],[refute_0_3285,refute_0_3296]) ).

cnf(refute_0_3298,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(bigC(b,b,c),bigC(a,a,b)),bigC(b,b,c))
    | product(bigC(b,b,c),bigC(a,a,b)) != product(b,product(a,c))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),product(product(bigC(b,b,c),bigC(a,a,b)),bigC(b,b,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3299,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(bigC(b,b,c),bigC(a,a,b)),bigC(b,b,c))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_3297,refute_0_3298]) ).

cnf(refute_0_3300,plain,
    bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = product(product(b,product(a,c)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),product(product(bigC(b,b,c),bigC(a,a,b)),bigC(b,b,c))) )],[refute_0_3281,refute_0_3299]) ).

cnf(refute_0_3301,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,bigC(c,a,b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(b,b,bigC(c,a,b)))),bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_3302,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,bigC(c,a,b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,bigC(c,a,b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_3303,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,bigC(c,a,b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_947,refute_0_3302]) ).

cnf(refute_0_3304,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,bigC(c,a,b)),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))) )],[refute_0_3301,refute_0_3303]) ).

cnf(refute_0_3305,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(b,b,bigC(c,a,b)))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3306,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))) ),[0],$fot(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3307,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3305,refute_0_3306]) ).

cnf(refute_0_3308,plain,
    bigC(b,product(bigC(c,a,b),b),product(c,a)) = bigC(b,product(c,a),product(bigC(c,a,b),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(product(c,a))),bind(C,$fot(product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_3309,plain,
    product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) = bigC(b,product(bigC(c,a,b),b),product(c,a)),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(bigC(c,a,b))),bind(X_44,$fot(b)),bind(X_45,$fot(product(c,a)))]]) ).

cnf(refute_0_3310,plain,
    ( bigC(b,product(bigC(c,a,b),b),product(c,a)) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) != bigC(b,product(bigC(c,a,b),b),product(c,a))
    | product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)))),bind(Y,$fot(bigC(b,product(bigC(c,a,b),b),product(c,a)))),bind(Z,$fot(bigC(b,product(c,a),product(bigC(c,a,b),b))))]]) ).

cnf(refute_0_3311,plain,
    ( bigC(b,product(bigC(c,a,b),b),product(c,a)) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)),bigC(b,product(bigC(c,a,b),b),product(c,a))) )],[refute_0_3309,refute_0_3310]) ).

cnf(refute_0_3312,plain,
    product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) = bigC(b,product(c,a),product(bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(bigC(c,a,b),b),product(c,a)),bigC(b,product(c,a),product(bigC(c,a,b),b))) )],[refute_0_3308,refute_0_3311]) ).

cnf(refute_0_3313,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))
    | product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,product(c,a),product(bigC(c,a,b),b))) ),[0],$fot(product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)))]]) ).

cnf(refute_0_3314,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b)),bigC(b,product(c,a),product(bigC(c,a,b),b))) )],[refute_0_3312,refute_0_3313]) ).

cnf(refute_0_3315,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))) )],[refute_0_3307,refute_0_3314]) ).

cnf(refute_0_3316,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(b,product(c,a),product(bigC(c,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,bigC(c,a,b)),product(product(c,a),b))) )],[refute_0_3304,refute_0_3315]) ).

cnf(refute_0_3317,plain,
    bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3318,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) ),[1,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3319,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3317,refute_0_3318]) ).

cnf(refute_0_3320,plain,
    bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_3319]) ).

cnf(refute_0_3321,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3322,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3323,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3321,refute_0_3322]) ).

cnf(refute_0_3324,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_3323]) ).

cnf(refute_0_3325,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))),bind(Y,$fot(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))),bind(Z,$fot(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_3326,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3324,refute_0_3325]) ).

cnf(refute_0_3327,plain,
    bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))) )],[refute_0_3320,refute_0_3326]) ).

cnf(refute_0_3328,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,product(c,a),product(bigC(c,a,b),b))) ),[0],$fot(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_3329,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = bigC(b,product(c,a),product(bigC(c,a,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))) )],[refute_0_3327,refute_0_3328]) ).

cnf(refute_0_3330,plain,
    product(bigC(c,a,b),b) = product(bigC(c,a,b),b),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),b))]]) ).

cnf(refute_0_3331,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),b) != product(bigC(c,a,b),b)
    | product(bigC(c,a,b),b) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),b),product(bigC(c,a,b),b)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_3332,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),b) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),b),product(bigC(c,a,b),b)) )],[refute_0_3330,refute_0_3331]) ).

cnf(refute_0_3333,plain,
    product(bigC(c,a,b),b) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_3332]) ).

cnf(refute_0_3334,plain,
    bigC(b,product(c,a),product(bigC(c,a,b),b)) = bigC(b,product(c,a),product(bigC(c,a,b),b)),
    introduced(tautology,[refl,[$fot(bigC(b,product(c,a),product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_3335,plain,
    ( bigC(b,product(c,a),product(bigC(c,a,b),b)) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | product(bigC(c,a,b),b) != product(c,b)
    | bigC(b,product(c,a),product(bigC(c,a,b),b)) = bigC(b,product(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,product(c,a),product(bigC(c,a,b),b)),bigC(b,product(c,a),product(bigC(c,a,b),b))) ),[1,2],$fot(product(c,b))]]) ).

cnf(refute_0_3336,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | bigC(b,product(c,a),product(bigC(c,a,b),b)) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(bigC(c,a,b),b)),bigC(b,product(c,a),product(bigC(c,a,b),b))) )],[refute_0_3334,refute_0_3335]) ).

cnf(refute_0_3337,plain,
    bigC(b,product(c,a),product(bigC(c,a,b),b)) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),b),product(c,b)) )],[refute_0_3333,refute_0_3336]) ).

cnf(refute_0_3338,plain,
    ( bigC(b,product(c,a),product(bigC(c,a,b),b)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),bigC(b,product(c,a),product(bigC(c,a,b),b))) ),[1],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_3339,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(bigC(c,a,b),b)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3337,refute_0_3338]) ).

cnf(refute_0_3340,plain,
    ( bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(b,product(c,a),product(bigC(c,a,b),b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),bigC(b,product(c,a),product(bigC(c,a,b),b))) )],[refute_0_3329,refute_0_3339]) ).

cnf(refute_0_3341,plain,
    bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,bigC(c,a,b)),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,product(c,a),product(bigC(c,a,b),b))) )],[refute_0_3316,refute_0_3340]) ).

cnf(refute_0_3342,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(b,product(a,c)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),product(product(b,product(a,c)),bigC(b,b,c))) ),[0],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_3343,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(b,product(a,c)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3341,refute_0_3342]) ).

cnf(refute_0_3344,plain,
    product(product(product(b,c),c),bigC(b,b,c)) = product(product(product(b,c),c),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),bigC(b,b,c)))]]) ).

cnf(refute_0_3345,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),bigC(b,b,c)) != product(product(product(b,c),c),bigC(b,b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),product(product(product(b,c),c),bigC(b,b,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3346,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),bigC(b,b,c)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),product(product(product(b,c),c),bigC(b,b,c))) )],[refute_0_3344,refute_0_3345]) ).

cnf(refute_0_3347,plain,
    product(product(product(b,c),c),bigC(b,b,c)) = product(product(b,product(a,c)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_3346]) ).

cnf(refute_0_3348,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != product(product(product(b,c),c),bigC(b,b,c))
    | product(product(product(b,c),c),bigC(b,b,c)) != product(product(b,product(a,c)),bigC(b,b,c))
    | difference(product(b,product(b,c)),product(b,c)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,product(b,c)),product(b,c)),product(product(b,product(a,c)),bigC(b,b,c))) ),[0],$fot(product(product(product(b,c),c),bigC(b,b,c)))]]) ).

cnf(refute_0_3349,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != product(product(product(b,c),c),bigC(b,b,c))
    | difference(product(b,product(b,c)),product(b,c)) = product(product(b,product(a,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),product(product(b,product(a,c)),bigC(b,b,c))) )],[refute_0_3347,refute_0_3348]) ).

cnf(refute_0_3350,plain,
    difference(product(b,product(b,c)),product(b,c)) = product(product(b,product(a,c)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) )],[refute_0_3204,refute_0_3349]) ).

cnf(refute_0_3351,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != product(product(b,product(a,c)),bigC(b,b,c))
    | product(product(b,product(a,c)),bigC(b,b,c)) = difference(product(b,product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,product(b,c)),product(b,c)))),bind(Y,$fot(product(product(b,product(a,c)),bigC(b,b,c))))]]) ).

cnf(refute_0_3352,plain,
    product(product(b,product(a,c)),bigC(b,b,c)) = difference(product(b,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),product(product(b,product(a,c)),bigC(b,b,c))) )],[refute_0_3350,refute_0_3351]) ).

cnf(refute_0_3353,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(b,product(a,c)),bigC(b,b,c))
    | product(product(b,product(a,c)),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | bigC(b,product(c,a),product(c,b)) = difference(product(b,product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),product(c,b)),difference(product(b,product(b,c)),product(b,c))) ),[0],$fot(product(product(b,product(a,c)),bigC(b,b,c)))]]) ).

cnf(refute_0_3354,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(b,product(a,c)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = difference(product(b,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(b,b,c)),difference(product(b,product(b,c)),product(b,c))) )],[refute_0_3352,refute_0_3353]) ).

cnf(refute_0_3355,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(b,product(a,c)),bigC(b,b,c))
    | bigC(b,product(c,a),product(c,b)) = difference(product(b,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(product(b,product(a,c)),bigC(b,b,c))) )],[refute_0_3343,refute_0_3354]) ).

cnf(refute_0_3356,plain,
    bigC(b,product(c,a),product(c,b)) = difference(product(b,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),product(product(b,product(a,c)),bigC(b,b,c))) )],[refute_0_3300,refute_0_3355]) ).

cnf(refute_0_3357,plain,
    ( bigC(b,product(c,a),product(c,b)) != difference(product(b,product(b,c)),product(b,c))
    | difference(product(b,product(b,c)),product(b,c)) = bigC(b,product(c,a),product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,product(c,a),product(c,b)))),bind(Y,$fot(difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_3358,plain,
    difference(product(b,product(b,c)),product(b,c)) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),difference(product(b,product(b,c)),product(b,c))) )],[refute_0_3356,refute_0_3357]) ).

cnf(refute_0_3359,plain,
    difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_3360,plain,
    ( difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) != difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c)))
    | difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c)))) ),[1,1],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_3361,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c)))) )],[refute_0_3359,refute_0_3360]) ).

cnf(refute_0_3362,plain,
    difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3358,refute_0_3361]) ).

cnf(refute_0_3363,plain,
    ( difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) != bigC(c,b,b)
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) != difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b)))
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))))),bind(Y,$fot(difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))))),bind(Z,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_3364,plain,
    ( difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))) != bigC(c,b,b)
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b)))) )],[refute_0_3362,refute_0_3363]) ).

cnf(refute_0_3365,plain,
    difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(b,product(c,a),product(c,b))),bigC(c,b,b)) )],[refute_0_3280,refute_0_3364]) ).

cnf(refute_0_3366,plain,
    ( difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) != bigC(b,b,c)
    | difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) != bigC(c,b,b)
    | bigC(c,b,b) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),bigC(b,b,c)) ),[0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_3367,plain,
    ( difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))) != bigC(b,b,c)
    | bigC(c,b,b) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),bigC(c,b,b)) )],[refute_0_3365,refute_0_3366]) ).

cnf(refute_0_3368,plain,
    bigC(c,b,b) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(b,product(b,c)),product(b,c))),bigC(b,b,c)) )],[refute_0_3216,refute_0_3367]) ).

cnf(refute_0_3369,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(product(c,product(c,b)),product(c,b)) != bigC(c,b,b)
    | difference(product(c,product(c,b)),product(c,b)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),bigC(c,b,b)) ),[1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3370,plain,
    ( difference(product(c,product(c,b)),product(c,b)) != bigC(c,b,b)
    | difference(product(c,product(c,b)),product(c,b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_3369]) ).

cnf(refute_0_3371,plain,
    difference(product(c,product(c,b)),product(c,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),bigC(c,b,b)) )],[refute_0_2272,refute_0_3370]) ).

cnf(refute_0_3372,plain,
    difference(product(b,a),bigC(b,a,c)) = product(c,b),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(b)),bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_3373,plain,
    ( bigC(b,a,c) != c
    | difference(product(b,a),bigC(b,a,c)) != product(c,b)
    | difference(product(b,a),c) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),bigC(b,a,c)),product(c,b)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_3374,plain,
    ( difference(product(b,a),bigC(b,a,c)) != product(c,b)
    | difference(product(b,a),c) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_3373]) ).

cnf(refute_0_3375,plain,
    difference(product(b,a),c) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(b,a,c)),product(c,b)) )],[refute_0_3372,refute_0_3374]) ).

cnf(refute_0_3376,plain,
    difference(product(c,product(c,b)),difference(product(b,a),c)) = difference(product(c,product(c,b)),difference(product(b,a),c)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,b)),difference(product(b,a),c)))]]) ).

cnf(refute_0_3377,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(product(c,product(c,b)),difference(product(b,a),c)) != difference(product(c,product(c,b)),difference(product(b,a),c))
    | difference(product(c,product(c,b)),difference(product(b,a),c)) = difference(product(c,product(c,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),difference(product(b,a),c)),difference(product(c,product(c,b)),difference(product(b,a),c))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_3378,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(product(c,product(c,b)),difference(product(b,a),c)) = difference(product(c,product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),difference(product(b,a),c)),difference(product(c,product(c,b)),difference(product(b,a),c))) )],[refute_0_3376,refute_0_3377]) ).

cnf(refute_0_3379,plain,
    difference(product(c,product(c,b)),difference(product(b,a),c)) = difference(product(c,product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_3375,refute_0_3378]) ).

cnf(refute_0_3380,plain,
    product(c,difference(product(b,a),c)) = product(c,difference(product(b,a),c)),
    introduced(tautology,[refl,[$fot(product(c,difference(product(b,a),c)))]]) ).

cnf(refute_0_3381,plain,
    ( difference(product(b,a),c) != product(c,b)
    | product(c,difference(product(b,a),c)) != product(c,difference(product(b,a),c))
    | product(c,difference(product(b,a),c)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(b,a),c)),product(c,difference(product(b,a),c))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_3382,plain,
    ( difference(product(b,a),c) != product(c,b)
    | product(c,difference(product(b,a),c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,a),c)),product(c,difference(product(b,a),c))) )],[refute_0_3380,refute_0_3381]) ).

cnf(refute_0_3383,plain,
    product(c,difference(product(b,a),c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_3375,refute_0_3382]) ).

cnf(refute_0_3384,plain,
    difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),
    introduced(tautology,[refl,[$fot(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)))]]) ).

cnf(refute_0_3385,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != difference(product(c,difference(product(b,a),c)),difference(product(b,a),c))
    | product(c,difference(product(b,a),c)) != product(c,product(c,b))
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,product(c,b)),difference(product(b,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),difference(product(c,difference(product(b,a),c)),difference(product(b,a),c))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_3386,plain,
    ( product(c,difference(product(b,a),c)) != product(c,product(c,b))
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,product(c,b)),difference(product(b,a),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),difference(product(c,difference(product(b,a),c)),difference(product(b,a),c))) )],[refute_0_3384,refute_0_3385]) ).

cnf(refute_0_3387,plain,
    difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,product(c,b)),difference(product(b,a),c)),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,a),c)),product(c,product(c,b))) )],[refute_0_3383,refute_0_3386]) ).

cnf(refute_0_3388,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != difference(product(c,product(c,b)),difference(product(b,a),c))
    | difference(product(c,product(c,b)),difference(product(b,a),c)) != difference(product(c,product(c,b)),product(c,b))
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,product(c,b)),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)))),bind(Y,$fot(difference(product(c,product(c,b)),difference(product(b,a),c)))),bind(Z,$fot(difference(product(c,product(c,b)),product(c,b))))]]) ).

cnf(refute_0_3389,plain,
    ( difference(product(c,product(c,b)),difference(product(b,a),c)) != difference(product(c,product(c,b)),product(c,b))
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,product(c,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),difference(product(c,product(c,b)),difference(product(b,a),c))) )],[refute_0_3387,refute_0_3388]) ).

cnf(refute_0_3390,plain,
    difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = difference(product(c,product(c,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),difference(product(b,a),c)),difference(product(c,product(c,b)),product(c,b))) )],[refute_0_3379,refute_0_3389]) ).

cnf(refute_0_3391,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != difference(product(c,product(c,b)),product(c,b))
    | difference(product(c,product(c,b)),product(c,b)) != bigC(b,b,c)
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)))),bind(Y,$fot(difference(product(c,product(c,b)),product(c,b)))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_3392,plain,
    ( difference(product(c,product(c,b)),product(c,b)) != bigC(b,b,c)
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),difference(product(c,product(c,b)),product(c,b))) )],[refute_0_3390,refute_0_3391]) ).

cnf(refute_0_3393,plain,
    difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),product(c,b)),bigC(b,b,c)) )],[refute_0_3371,refute_0_3392]) ).

cnf(refute_0_3394,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != bigC(b,b,c)
    | difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))
    | bigC(b,b,c) = product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))) ),[0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3395,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))
    | bigC(b,b,c) = product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),bigC(b,b,c)) )],[refute_0_3393,refute_0_3394]) ).

cnf(refute_0_3396,plain,
    product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) = product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_3397,plain,
    ( difference(product(b,a),c) != product(c,b)
    | product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) != product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))
    | product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))),product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_3398,plain,
    ( difference(product(b,a),c) != product(c,b)
    | product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))),product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_3396,refute_0_3397]) ).

cnf(refute_0_3399,plain,
    product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_3375,refute_0_3398]) ).

cnf(refute_0_3400,plain,
    ( bigC(b,b,c) != product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))
    | product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))) != product(product(c,b),difference(product(b,a),product(b,product(a,c))))
    | bigC(b,b,c) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,b,c),product(product(c,b),difference(product(b,a),product(b,product(a,c))))) ),[0],$fot(product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_3401,plain,
    ( bigC(b,b,c) != product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))
    | bigC(b,b,c) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c)))),product(product(c,b),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_3399,refute_0_3400]) ).

cnf(refute_0_3402,plain,
    ( difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)) != product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))
    | bigC(b,b,c) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,c),product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_3395,refute_0_3401]) ).

cnf(refute_0_3403,plain,
    bigC(b,b,c) = product(product(c,b),difference(product(b,a),product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(b,a),c)),difference(product(b,a),c)),product(difference(product(b,a),c),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_2847,refute_0_3402]) ).

cnf(refute_0_3404,plain,
    ( bigC(b,b,c) != product(product(c,b),difference(product(b,a),product(b,product(a,c))))
    | product(product(c,b),difference(product(b,a),product(b,product(a,c)))) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,c))),bind(Y,$fot(product(product(c,b),difference(product(b,a),product(b,product(a,c))))))]]) ).

cnf(refute_0_3405,plain,
    product(product(c,b),difference(product(b,a),product(b,product(a,c)))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(b,b,c),product(product(c,b),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_3403,refute_0_3404]) ).

cnf(refute_0_3406,plain,
    ( difference(product(c,b),product(product(c,b),difference(product(b,a),product(b,product(a,c))))) != difference(product(b,a),product(b,product(a,c)))
    | product(product(c,b),difference(product(b,a),product(b,product(a,c)))) != bigC(b,b,c)
    | difference(product(c,b),bigC(b,b,c)) = difference(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),difference(product(b,a),product(b,product(a,c))))),difference(product(b,a),product(b,product(a,c)))) ),[0,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3407,plain,
    ( difference(product(c,b),product(product(c,b),difference(product(b,a),product(b,product(a,c))))) != difference(product(b,a),product(b,product(a,c)))
    | difference(product(c,b),bigC(b,b,c)) = difference(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(b,a),product(b,product(a,c)))),bigC(b,b,c)) )],[refute_0_3405,refute_0_3406]) ).

cnf(refute_0_3408,plain,
    difference(product(c,b),bigC(b,b,c)) = difference(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),difference(product(b,a),product(b,product(a,c))))),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2843,refute_0_3407]) ).

cnf(refute_0_3409,plain,
    product(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) = product(product(c,b),product(b,a)),
    inference(subst,[],[sos07:[bind(A,$fot(product(c,b))),bind(B,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3410,plain,
    ( product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | product(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))),product(product(c,b),product(b,a))) ),[0,0,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_3411,plain,
    ( product(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_3410]) ).

cnf(refute_0_3412,plain,
    product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) = product(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))),product(product(c,b),product(b,a))) )],[refute_0_3409,refute_0_3411]) ).

cnf(refute_0_3413,plain,
    product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) = product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a))),bind(C,$fot(product(product(c,b),product(b,a)))),bind(X_63,$fot(bigC(c,b,b))),bind(X_64,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3414,plain,
    ( product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) != product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))),product(product(c,b),product(b,a))) ),[0],$fot(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_3415,plain,
    ( product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))),product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))) )],[refute_0_3413,refute_0_3414]) ).

cnf(refute_0_3416,plain,
    product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))),product(product(c,b),product(b,a))) )],[refute_0_3412,refute_0_3415]) ).

cnf(refute_0_3417,plain,
    difference(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3418,plain,
    ( difference(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))
    | product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) ),[0,0,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_3419,plain,
    ( difference(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_3418]) ).

cnf(refute_0_3420,plain,
    difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) )],[refute_0_3417,refute_0_3419]) ).

cnf(refute_0_3421,plain,
    product(bigC(c,b,b),product(product(b,a),product(c,b))) = bigC(product(c,b),product(b,a),product(b,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(product(b,a))),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_3422,plain,
    product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)) = product(product(product(c,b),product(product(c,b),product(b,a))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(c,b))),bind(C,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3423,plain,
    ( product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)) != product(product(product(c,b),product(product(c,b),product(b,a))),product(B,D))
    | product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)) = product(bigC(c,b,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)),product(product(product(c,b),product(product(c,b),product(b,a))),product(B,D))) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_3424,plain,
    ( product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)) != product(product(product(c,b),product(product(c,b),product(b,a))),product(B,D))
    | product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)) = product(bigC(c,b,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_3423]) ).

cnf(refute_0_3425,plain,
    product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)) = product(bigC(c,b,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),B),product(product(product(c,b),product(b,a)),D)),product(product(product(c,b),product(product(c,b),product(b,a))),product(B,D))) )],[refute_0_3422,refute_0_3424]) ).

cnf(refute_0_3426,plain,
    product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) = product(bigC(c,b,b),product(product(b,a),product(c,b))),
    inference(subst,[],[refute_0_3425:[bind(B,$fot(product(b,a))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_3427,plain,
    ( product(bigC(c,b,b),product(product(b,a),product(c,b))) != bigC(product(c,b),product(b,a),product(b,c))
    | product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) != product(bigC(c,b,b),product(product(b,a),product(c,b)))
    | product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) = bigC(product(c,b),product(b,a),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))))),bind(Y,$fot(product(bigC(c,b,b),product(product(b,a),product(c,b))))),bind(Z,$fot(bigC(product(c,b),product(b,a),product(b,c))))]]) ).

cnf(refute_0_3428,plain,
    ( product(bigC(c,b,b),product(product(b,a),product(c,b))) != bigC(product(c,b),product(b,a),product(b,c))
    | product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) = bigC(product(c,b),product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))),product(bigC(c,b,b),product(product(b,a),product(c,b)))) )],[refute_0_3426,refute_0_3427]) ).

cnf(refute_0_3429,plain,
    product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) = bigC(product(c,b),product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(b,a),product(c,b))),bigC(product(c,b),product(b,a),product(b,c))) )],[refute_0_3421,refute_0_3428]) ).

cnf(refute_0_3430,plain,
    ( difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))
    | product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))) != bigC(product(c,b),product(b,a),product(b,c))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(b,c))) ),[0],$fot(product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))))]]) ).

cnf(refute_0_3431,plain,
    ( difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b))),bigC(product(c,b),product(b,a),product(b,c))) )],[refute_0_3429,refute_0_3430]) ).

cnf(refute_0_3432,plain,
    difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),product(product(product(c,b),product(b,a)),product(product(product(c,b),product(b,a)),product(c,b)))) )],[refute_0_3420,refute_0_3431]) ).

cnf(refute_0_3433,plain,
    product(product(b,c),bigC(b,a,b)) = bigC(b,c,product(b,a)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_80,$fot(a))]]) ).

cnf(refute_0_3434,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(product(b,c),product(c,b)) != bigC(b,c,c)
    | product(product(b,c),product(c,b)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(c,b)))),bind(Y,$fot(bigC(b,c,c))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_3435,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | product(product(b,c),product(c,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,b)),bigC(b,c,c)) )],[refute_0_685,refute_0_3434]) ).

cnf(refute_0_3436,plain,
    product(product(b,c),product(c,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_691,refute_0_3435]) ).

cnf(refute_0_3437,plain,
    product(product(b,c),product(product(b,c),product(c,b))) = product(product(b,c),product(product(b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(b,c),product(product(b,c),product(c,b))))]]) ).

cnf(refute_0_3438,plain,
    ( product(product(b,c),product(c,b)) != bigC(b,a,b)
    | product(product(b,c),product(product(b,c),product(c,b))) != product(product(b,c),product(product(b,c),product(c,b)))
    | product(product(b,c),product(product(b,c),product(c,b))) = product(product(b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,b))),product(product(b,c),product(product(b,c),product(c,b)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_3439,plain,
    ( product(product(b,c),product(c,b)) != bigC(b,a,b)
    | product(product(b,c),product(product(b,c),product(c,b))) = product(product(b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,b))),product(product(b,c),product(product(b,c),product(c,b)))) )],[refute_0_3437,refute_0_3438]) ).

cnf(refute_0_3440,plain,
    product(product(b,c),product(product(b,c),product(c,b))) = product(product(b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,b)),bigC(b,a,b)) )],[refute_0_3436,refute_0_3439]) ).

cnf(refute_0_3441,plain,
    ( product(product(b,c),bigC(b,a,b)) != bigC(b,c,product(b,a))
    | product(product(b,c),product(product(b,c),product(c,b))) != product(product(b,c),bigC(b,a,b))
    | product(product(b,c),product(product(b,c),product(c,b))) = bigC(b,c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(product(b,c),product(c,b))))),bind(Y,$fot(product(product(b,c),bigC(b,a,b)))),bind(Z,$fot(bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_3442,plain,
    ( product(product(b,c),bigC(b,a,b)) != bigC(b,c,product(b,a))
    | product(product(b,c),product(product(b,c),product(c,b))) = bigC(b,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,b))),product(product(b,c),bigC(b,a,b))) )],[refute_0_3440,refute_0_3441]) ).

cnf(refute_0_3443,plain,
    product(product(b,c),product(product(b,c),product(c,b))) = bigC(b,c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,a,b)),bigC(b,c,product(b,a))) )],[refute_0_3433,refute_0_3442]) ).

cnf(refute_0_3444,plain,
    difference(product(product(product(A,B),product(C,A)),product(C,A)),product(C,A)) = product(product(C,A),product(product(C,A),product(A,B))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(A,B))),bind(X_16,$fot(product(C,A)))]]) ).

cnf(refute_0_3445,plain,
    ( difference(product(product(product(A,B),product(C,A)),product(C,A)),product(C,A)) != product(product(C,A),product(product(C,A),product(A,B)))
    | product(product(A,B),product(C,A)) != bigC(A,B,C)
    | difference(product(bigC(A,B,C),product(C,A)),product(C,A)) = product(product(C,A),product(product(C,A),product(A,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(A,B),product(C,A)),product(C,A)),product(C,A)),product(product(C,A),product(product(C,A),product(A,B)))) ),[0,0,0],$fot(bigC(A,B,C))]]) ).

cnf(refute_0_3446,plain,
    ( difference(product(product(product(A,B),product(C,A)),product(C,A)),product(C,A)) != product(product(C,A),product(product(C,A),product(A,B)))
    | difference(product(bigC(A,B,C),product(C,A)),product(C,A)) = product(product(C,A),product(product(C,A),product(A,B))) ),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(C,A)),bigC(A,B,C)) )],[refute_0_8,refute_0_3445]) ).

cnf(refute_0_3447,plain,
    difference(product(bigC(A,B,C),product(C,A)),product(C,A)) = product(product(C,A),product(product(C,A),product(A,B))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(A,B),product(C,A)),product(C,A)),product(C,A)),product(product(C,A),product(product(C,A),product(A,B)))) )],[refute_0_3444,refute_0_3446]) ).

cnf(refute_0_3448,plain,
    difference(product(bigC(c,b,b),product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),product(c,b))),
    inference(subst,[],[refute_0_3447:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_3449,plain,
    ( difference(product(bigC(c,b,b),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),product(c,b)))
    | product(product(b,c),product(product(b,c),product(c,b))) != bigC(b,c,product(b,a))
    | difference(product(bigC(c,b,b),product(b,c)),product(b,c)) = bigC(b,c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(c,b,b),product(b,c)),product(b,c)))),bind(Y,$fot(product(product(b,c),product(product(b,c),product(c,b))))),bind(Z,$fot(bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_3450,plain,
    ( product(product(b,c),product(product(b,c),product(c,b))) != bigC(b,c,product(b,a))
    | difference(product(bigC(c,b,b),product(b,c)),product(b,c)) = bigC(b,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),product(c,b)))) )],[refute_0_3448,refute_0_3449]) ).

cnf(refute_0_3451,plain,
    difference(product(bigC(c,b,b),product(b,c)),product(b,c)) = bigC(b,c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,b))),bigC(b,c,product(b,a))) )],[refute_0_3443,refute_0_3450]) ).

cnf(refute_0_3452,plain,
    difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3453,plain,
    ( difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) != difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_3454,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a)))) )],[refute_0_3452,refute_0_3453]) ).

cnf(refute_0_3455,plain,
    difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3454]) ).

cnf(refute_0_3456,plain,
    product(bigC(c,b,b),product(product(c,b),product(b,a))) = product(bigC(c,b,b),product(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3457,plain,
    ( product(bigC(c,b,b),product(product(c,b),product(b,a))) != product(bigC(c,b,b),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | product(bigC(c,b,b),product(product(c,b),product(b,a))) = product(bigC(c,b,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(bigC(c,b,b),product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_3458,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(bigC(c,b,b),product(product(c,b),product(b,a))) = product(bigC(c,b,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(bigC(c,b,b),product(product(c,b),product(b,a)))) )],[refute_0_3456,refute_0_3457]) ).

cnf(refute_0_3459,plain,
    product(bigC(c,b,b),product(product(c,b),product(b,a))) = product(bigC(c,b,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3458]) ).

cnf(refute_0_3460,plain,
    difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3461,plain,
    ( difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a)))
    | product(bigC(c,b,b),product(product(c,b),product(b,a))) != product(bigC(c,b,b),product(b,c))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a)))) ),[1,0],$fot(product(bigC(c,b,b),product(b,c)))]]) ).

cnf(refute_0_3462,plain,
    ( product(bigC(c,b,b),product(product(c,b),product(b,a))) != product(bigC(c,b,b),product(b,c))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a)))) )],[refute_0_3460,refute_0_3461]) ).

cnf(refute_0_3463,plain,
    difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(bigC(c,b,b),product(b,c))) )],[refute_0_3459,refute_0_3462]) ).

cnf(refute_0_3464,plain,
    ( difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) != difference(product(bigC(c,b,b),product(b,c)),product(b,c))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a)))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))))),bind(Y,$fot(difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))))),bind(Z,$fot(difference(product(bigC(c,b,b),product(b,c)),product(b,c))))]]) ).

cnf(refute_0_3465,plain,
    ( difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))) != difference(product(bigC(c,b,b),product(b,c)),product(b,c))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a)))) )],[refute_0_3463,refute_0_3464]) ).

cnf(refute_0_3466,plain,
    difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = difference(product(bigC(c,b,b),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(b,c)),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(b,c)),product(b,c))) )],[refute_0_3455,refute_0_3465]) ).

cnf(refute_0_3467,plain,
    ( difference(product(bigC(c,b,b),product(b,c)),product(b,c)) != bigC(b,c,product(b,a))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != difference(product(bigC(c,b,b),product(b,c)),product(b,c))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = bigC(b,c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))))),bind(Y,$fot(difference(product(bigC(c,b,b),product(b,c)),product(b,c)))),bind(Z,$fot(bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_3468,plain,
    ( difference(product(bigC(c,b,b),product(b,c)),product(b,c)) != bigC(b,c,product(b,a))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = bigC(b,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),difference(product(bigC(c,b,b),product(b,c)),product(b,c))) )],[refute_0_3466,refute_0_3467]) ).

cnf(refute_0_3469,plain,
    difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) = bigC(b,c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(b,c)),product(b,c)),bigC(b,c,product(b,a))) )],[refute_0_3451,refute_0_3468]) ).

cnf(refute_0_3470,plain,
    ( difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != bigC(b,c,product(b,a))
    | difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != bigC(product(c,b),product(b,a),product(b,c))
    | bigC(b,c,product(b,a)) = bigC(product(c,b),product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(b,c))) ),[0],$fot(bigC(b,c,product(b,a)))]]) ).

cnf(refute_0_3471,plain,
    ( difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))) != bigC(product(c,b),product(b,a),product(b,c))
    | bigC(b,c,product(b,a)) = bigC(product(c,b),product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),bigC(b,c,product(b,a))) )],[refute_0_3469,refute_0_3470]) ).

cnf(refute_0_3472,plain,
    bigC(b,c,product(b,a)) = bigC(product(c,b),product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(b,c))) )],[refute_0_3432,refute_0_3471]) ).

cnf(refute_0_3473,plain,
    ( bigC(b,c,product(b,a)) != bigC(product(c,b),product(b,a),product(b,c))
    | bigC(product(c,b),product(b,a),product(b,c)) = bigC(b,c,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,c,product(b,a)))),bind(Y,$fot(bigC(product(c,b),product(b,a),product(b,c))))]]) ).

cnf(refute_0_3474,plain,
    bigC(product(c,b),product(b,a),product(b,c)) = bigC(b,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,a)),bigC(product(c,b),product(b,a),product(b,c))) )],[refute_0_3472,refute_0_3473]) ).

cnf(refute_0_3475,plain,
    bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_3476,plain,
    ( bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) != bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) ),[1,2],$fot(product(b,c))]]) ).

cnf(refute_0_3477,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) )],[refute_0_3475,refute_0_3476]) ).

cnf(refute_0_3478,plain,
    bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(product(c,b),product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3477]) ).

cnf(refute_0_3479,plain,
    ( bigC(product(c,b),product(b,a),product(b,c)) != bigC(b,c,product(b,a))
    | bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) != bigC(product(c,b),product(b,a),product(b,c))
    | bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(b,c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))),bind(Y,$fot(bigC(product(c,b),product(b,a),product(b,c)))),bind(Z,$fot(bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_3480,plain,
    ( bigC(product(c,b),product(b,a),product(b,c)) != bigC(b,c,product(b,a))
    | bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(b,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(b,c))) )],[refute_0_3478,refute_0_3479]) ).

cnf(refute_0_3481,plain,
    bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) = bigC(b,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),product(b,c)),bigC(b,c,product(b,a))) )],[refute_0_3474,refute_0_3480]) ).

cnf(refute_0_3482,plain,
    product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_3483,plain,
    ( bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) != bigC(b,c,product(b,a))
    | product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))
    | product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))) ),[1,1],$fot(bigC(b,c,product(b,a)))]]) ).

cnf(refute_0_3484,plain,
    ( bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))) != bigC(b,c,product(b,a))
    | product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))) )],[refute_0_3482,refute_0_3483]) ).

cnf(refute_0_3485,plain,
    product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))),bigC(b,c,product(b,a))) )],[refute_0_3481,refute_0_3484]) ).

cnf(refute_0_3486,plain,
    product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_3487,plain,
    ( product(bigC(c,b,b),product(product(c,b),product(b,a))) != product(bigC(c,b,b),product(b,c))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))) ),[1,0],$fot(product(bigC(c,b,b),product(b,c)))]]) ).

cnf(refute_0_3488,plain,
    ( product(bigC(c,b,b),product(product(c,b),product(b,a))) != product(bigC(c,b,b),product(b,c))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))) )],[refute_0_3486,refute_0_3487]) ).

cnf(refute_0_3489,plain,
    product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(c,b),product(b,a))),product(bigC(c,b,b),product(b,c))) )],[refute_0_3459,refute_0_3488]) ).

cnf(refute_0_3490,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))))),bind(Y,$fot(product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))))),bind(Z,$fot(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))))]]) ).

cnf(refute_0_3491,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a))))) )],[refute_0_3489,refute_0_3490]) ).

cnf(refute_0_3492,plain,
    product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))) )],[refute_0_3485,refute_0_3491]) ).

cnf(refute_0_3493,plain,
    ( product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))
    | product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(c,b),product(b,a))) ),[0],$fot(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_3494,plain,
    ( product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))) )],[refute_0_3492,refute_0_3493]) ).

cnf(refute_0_3495,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(product(c,b),product(b,a))
    | product(product(c,b),product(b,a)) != product(b,c)
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(b,c)) ),[0],$fot(product(product(c,b),product(b,a)))]]) ).

cnf(refute_0_3496,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3495]) ).

cnf(refute_0_3497,plain,
    ( product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))) != product(product(c,b),product(b,a))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(product(c,b),product(b,a))) )],[refute_0_3494,refute_0_3496]) ).

cnf(refute_0_3498,plain,
    product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(product(c,b),product(b,a))),bigC(product(c,b),product(b,a),product(product(c,b),product(b,a)))),product(product(c,b),product(b,a))) )],[refute_0_3416,refute_0_3497]) ).

cnf(refute_0_3499,plain,
    product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)) = product(bigC(c,b,b),product(product(b,c),c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(bigC(c,b,b))),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3500,plain,
    product(product(product(c,b),product(b,c)),c) = product(product(product(c,b),product(b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(b,c)),c))]]) ).

cnf(refute_0_3501,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(product(c,b),product(b,c)),c) != product(product(product(c,b),product(b,c)),c)
    | product(product(product(c,b),product(b,c)),c) = product(bigC(c,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(b,c)),c),product(product(product(c,b),product(b,c)),c)) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_3502,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(product(c,b),product(b,c)),c) = product(bigC(c,b,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,c)),c),product(product(product(c,b),product(b,c)),c)) )],[refute_0_3500,refute_0_3501]) ).

cnf(refute_0_3503,plain,
    product(product(product(c,b),product(b,c)),c) = product(bigC(c,b,b),c),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_3502]) ).

cnf(refute_0_3504,plain,
    bigC(quotient(product(b,c),product(b,a)),product(b,a),X_23) = product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(b,c))),bind(X_22,$fot(product(b,a)))]]) ).

cnf(refute_0_3505,plain,
    quotient(product(product(c,b),product(b,a)),product(b,a)) = product(c,b),
    inference(subst,[],[sos03:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_3506,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | quotient(product(product(c,b),product(b,a)),product(b,a)) != product(c,b)
    | quotient(product(b,c),product(b,a)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),product(b,a)),product(b,a)),product(c,b)) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_3507,plain,
    ( quotient(product(product(c,b),product(b,a)),product(b,a)) != product(c,b)
    | quotient(product(b,c),product(b,a)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3506]) ).

cnf(refute_0_3508,plain,
    quotient(product(b,c),product(b,a)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),product(b,a)),product(b,a)),product(c,b)) )],[refute_0_3505,refute_0_3507]) ).

cnf(refute_0_3509,plain,
    ( bigC(quotient(product(b,c),product(b,a)),product(b,a),X_23) != product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))
    | quotient(product(b,c),product(b,a)) != product(c,b)
    | bigC(product(c,b),product(b,a),X_23) = product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),product(b,a),X_23),product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_3510,plain,
    ( bigC(quotient(product(b,c),product(b,a)),product(b,a),X_23) != product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))
    | bigC(product(c,b),product(b,a),X_23) = product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_3508,refute_0_3509]) ).

cnf(refute_0_3511,plain,
    bigC(product(c,b),product(b,a),X_23) = product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),product(b,a),X_23),product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))) )],[refute_0_3504,refute_0_3510]) ).

cnf(refute_0_3512,plain,
    bigC(product(c,b),X_22,quotient(c,product(c,b))) = product(product(product(c,b),X_22),c),
    inference(subst,[],[refute_0_356:[bind(A,$fot(c)),bind(X_21,$fot(product(c,b)))]]) ).

cnf(refute_0_3513,plain,
    ( bigC(product(c,b),X_22,quotient(c,product(c,b))) != product(product(product(c,b),X_22),c)
    | quotient(c,product(c,b)) != product(b,a)
    | bigC(product(c,b),X_22,product(b,a)) = product(product(product(c,b),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_22,quotient(c,product(c,b))),product(product(product(c,b),X_22),c)) ),[0,2],$fot(product(b,a))]]) ).

cnf(refute_0_3514,plain,
    ( bigC(product(c,b),X_22,quotient(c,product(c,b))) != product(product(product(c,b),X_22),c)
    | bigC(product(c,b),X_22,product(b,a)) = product(product(product(c,b),X_22),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_3513]) ).

cnf(refute_0_3515,plain,
    bigC(product(c,b),X_22,product(b,a)) = product(product(product(c,b),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,quotient(c,product(c,b))),product(product(product(c,b),X_22),c)) )],[refute_0_3512,refute_0_3514]) ).

cnf(refute_0_3516,plain,
    bigC(product(c,b),X_23,product(b,a)) = product(product(product(c,b),X_23),c),
    inference(subst,[],[refute_0_3515:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_3517,plain,
    bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)))]]) ).

cnf(refute_0_3518,plain,
    ( bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) != bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a))
    | quotient(product(b,c),product(b,a)) != product(c,b)
    | bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = bigC(product(c,b),X_23,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)),bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_3519,plain,
    ( quotient(product(b,c),product(b,a)) != product(c,b)
    | bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = bigC(product(c,b),X_23,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)),bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a))) )],[refute_0_3517,refute_0_3518]) ).

cnf(refute_0_3520,plain,
    bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = bigC(product(c,b),X_23,product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_3508,refute_0_3519]) ).

cnf(refute_0_3521,plain,
    ( bigC(product(c,b),X_23,product(b,a)) != product(product(product(c,b),X_23),c)
    | bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) != bigC(product(c,b),X_23,product(b,a))
    | bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = product(product(product(c,b),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)))),bind(Y,$fot(bigC(product(c,b),X_23,product(b,a)))),bind(Z,$fot(product(product(product(c,b),X_23),c)))]]) ).

cnf(refute_0_3522,plain,
    ( bigC(product(c,b),X_23,product(b,a)) != product(product(product(c,b),X_23),c)
    | bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = product(product(product(c,b),X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)),bigC(product(c,b),X_23,product(b,a))) )],[refute_0_3520,refute_0_3521]) ).

cnf(refute_0_3523,plain,
    bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) = product(product(product(c,b),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_23,product(b,a)),product(product(product(c,b),X_23),c)) )],[refute_0_3516,refute_0_3522]) ).

cnf(refute_0_3524,plain,
    product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) = bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(b,c))),bind(X_22,$fot(product(b,a)))]]) ).

cnf(refute_0_3525,plain,
    ( bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) != product(product(product(c,b),X_23),c)
    | product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) != bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a))
    | product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) = product(product(product(c,b),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))))),bind(Y,$fot(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)))),bind(Z,$fot(product(product(product(c,b),X_23),c)))]]) ).

cnf(refute_0_3526,plain,
    ( bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)) != product(product(product(c,b),X_23),c)
    | product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) = product(product(product(c,b),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))),bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a))) )],[refute_0_3524,refute_0_3525]) ).

cnf(refute_0_3527,plain,
    product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) = product(product(product(c,b),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,c),product(b,a)),X_23,product(b,a)),product(product(product(c,b),X_23),c)) )],[refute_0_3523,refute_0_3526]) ).

cnf(refute_0_3528,plain,
    ( bigC(product(c,b),product(b,a),X_23) != product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))
    | product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))) != product(product(product(c,b),X_23),c)
    | bigC(product(c,b),product(b,a),X_23) = product(product(product(c,b),X_23),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(b,a),X_23),product(product(product(c,b),X_23),c)) ),[0],$fot(product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))))]]) ).

cnf(refute_0_3529,plain,
    ( bigC(product(c,b),product(b,a),X_23) != product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))
    | bigC(product(c,b),product(b,a),X_23) = product(product(product(c,b),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(X_23,quotient(product(b,c),product(b,a)))),product(product(product(c,b),X_23),c)) )],[refute_0_3527,refute_0_3528]) ).

cnf(refute_0_3530,plain,
    bigC(product(c,b),product(b,a),X_23) = product(product(product(c,b),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),X_23),product(product(b,c),product(X_23,quotient(product(b,c),product(b,a))))) )],[refute_0_3511,refute_0_3529]) ).

cnf(refute_0_3531,plain,
    bigC(product(c,b),product(b,a),product(b,c)) = product(product(product(c,b),product(b,c)),c),
    inference(subst,[],[refute_0_3530:[bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_3532,plain,
    ( bigC(product(c,b),product(b,a),product(b,c)) != product(product(product(c,b),product(b,c)),c)
    | product(product(product(c,b),product(b,c)),c) != product(bigC(c,b,b),c)
    | bigC(product(c,b),product(b,a),product(b,c)) = product(bigC(c,b,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(b,a),product(b,c)))),bind(Y,$fot(product(product(product(c,b),product(b,c)),c))),bind(Z,$fot(product(bigC(c,b,b),c)))]]) ).

cnf(refute_0_3533,plain,
    ( product(product(product(c,b),product(b,c)),c) != product(bigC(c,b,b),c)
    | bigC(product(c,b),product(b,a),product(b,c)) = product(bigC(c,b,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),product(b,c)),product(product(product(c,b),product(b,c)),c)) )],[refute_0_3531,refute_0_3532]) ).

cnf(refute_0_3534,plain,
    bigC(product(c,b),product(b,a),product(b,c)) = product(bigC(c,b,b),c),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,c)),c),product(bigC(c,b,b),c)) )],[refute_0_3503,refute_0_3533]) ).

cnf(refute_0_3535,plain,
    ( bigC(b,c,product(b,a)) != bigC(product(c,b),product(b,a),product(b,c))
    | bigC(product(c,b),product(b,a),product(b,c)) != product(bigC(c,b,b),c)
    | bigC(b,c,product(b,a)) = product(bigC(c,b,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,c,product(b,a)),product(bigC(c,b,b),c)) ),[0],$fot(bigC(product(c,b),product(b,a),product(b,c)))]]) ).

cnf(refute_0_3536,plain,
    ( bigC(b,c,product(b,a)) != bigC(product(c,b),product(b,a),product(b,c))
    | bigC(b,c,product(b,a)) = product(bigC(c,b,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,a),product(b,c)),product(bigC(c,b,b),c)) )],[refute_0_3534,refute_0_3535]) ).

cnf(refute_0_3537,plain,
    bigC(b,c,product(b,a)) = product(bigC(c,b,b),c),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,a)),bigC(product(c,b),product(b,a),product(b,c))) )],[refute_0_3472,refute_0_3536]) ).

cnf(refute_0_3538,plain,
    product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_3539,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(c,b,b),c)
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))) ),[1,1],$fot(product(bigC(c,b,b),c))]]) ).

cnf(refute_0_3540,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(c,b,b),c)
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a)))) )],[refute_0_3538,refute_0_3539]) ).

cnf(refute_0_3541,plain,
    product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,a)),product(bigC(c,b,b),c)) )],[refute_0_3537,refute_0_3540]) ).

cnf(refute_0_3542,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c))
    | product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)) != product(bigC(c,b,b),product(product(b,c),c))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(bigC(c,b,b),product(product(b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))))),bind(Y,$fot(product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)))),bind(Z,$fot(product(bigC(c,b,b),product(product(b,c),c))))]]) ).

cnf(refute_0_3543,plain,
    ( product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)) != product(bigC(c,b,b),product(product(b,c),c))
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(bigC(c,b,b),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c))) )],[refute_0_3541,refute_0_3542]) ).

cnf(refute_0_3544,plain,
    product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) = product(bigC(c,b,b),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),product(bigC(c,b,b),c)),product(bigC(c,b,b),product(product(b,c),c))) )],[refute_0_3499,refute_0_3543]) ).

cnf(refute_0_3545,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(b,c)
    | product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(bigC(c,b,b),product(product(b,c),c))
    | product(bigC(c,b,b),product(product(b,c),c)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(b,c)) ),[0],$fot(product(bigC(c,b,b),product(product(b,c),c)))]]) ).

cnf(refute_0_3546,plain,
    ( product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))) != product(b,c)
    | product(bigC(c,b,b),product(product(b,c),c)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(bigC(c,b,b),product(product(b,c),c))) )],[refute_0_3544,refute_0_3545]) ).

cnf(refute_0_3547,plain,
    product(bigC(c,b,b),product(product(b,c),c)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),product(b,c)),bigC(b,c,product(b,a))),product(b,c)) )],[refute_0_3498,refute_0_3546]) ).

cnf(refute_0_3548,plain,
    product(bigC(c,b,b),product(product(b,c),c)) = product(bigC(c,b,b),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(product(b,c),c)))]]) ).

cnf(refute_0_3549,plain,
    ( product(bigC(c,b,b),product(product(b,c),c)) != product(bigC(c,b,b),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(bigC(c,b,b),product(product(b,c),c)) = product(bigC(c,b,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(product(b,c),c)),product(bigC(c,b,b),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3550,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(bigC(c,b,b),product(product(b,c),c)) = product(bigC(c,b,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(b,c),c)),product(bigC(c,b,b),product(product(b,c),c))) )],[refute_0_3548,refute_0_3549]) ).

cnf(refute_0_3551,plain,
    product(bigC(c,b,b),product(product(b,c),c)) = product(bigC(c,b,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_3550]) ).

cnf(refute_0_3552,plain,
    ( product(bigC(c,b,b),product(product(b,c),c)) != product(b,c)
    | product(bigC(c,b,b),product(product(b,c),c)) != product(bigC(c,b,b),product(b,product(a,c)))
    | product(bigC(c,b,b),product(b,product(a,c))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(product(b,c),c)),product(b,c)) ),[0],$fot(product(bigC(c,b,b),product(b,product(a,c))))]]) ).

cnf(refute_0_3553,plain,
    ( product(bigC(c,b,b),product(product(b,c),c)) != product(b,c)
    | product(bigC(c,b,b),product(b,product(a,c))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(b,c),c)),product(bigC(c,b,b),product(b,product(a,c)))) )],[refute_0_3551,refute_0_3552]) ).

cnf(refute_0_3554,plain,
    product(bigC(c,b,b),product(b,product(a,c))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(product(b,c),c)),product(b,c)) )],[refute_0_3547,refute_0_3553]) ).

cnf(refute_0_3555,plain,
    difference(product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(bigC(a,a,b))),bind(X_16,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3556,plain,
    ( difference(product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) ),[0,0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_3557,plain,
    ( difference(product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_947,refute_0_3556]) ).

cnf(refute_0_3558,plain,
    difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_3555,refute_0_3557]) ).

cnf(refute_0_3559,plain,
    difference(product(c,b),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3560,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | difference(product(c,b),bigC(b,b,bigC(c,a,b))) != difference(product(c,b),bigC(b,b,bigC(c,a,b)))
    | difference(product(c,b),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(b,b,bigC(c,a,b))),difference(product(c,b),bigC(b,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3561,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | difference(product(c,b),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,bigC(c,a,b))),difference(product(c,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3559,refute_0_3560]) ).

cnf(refute_0_3562,plain,
    difference(product(c,b),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_3561]) ).

cnf(refute_0_3563,plain,
    bigC(b,b,b) = b,
    inference(subst,[],[refute_0_2195:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_3564,plain,
    product(c,bigC(b,b,b)) = product(c,bigC(b,b,b)),
    introduced(tautology,[refl,[$fot(product(c,bigC(b,b,b)))]]) ).

cnf(refute_0_3565,plain,
    ( bigC(b,b,b) != b
    | product(c,bigC(b,b,b)) != product(c,bigC(b,b,b))
    | product(c,bigC(b,b,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(b,b,b)),product(c,bigC(b,b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_3566,plain,
    ( bigC(b,b,b) != b
    | product(c,bigC(b,b,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,b)),product(c,bigC(b,b,b))) )],[refute_0_3564,refute_0_3565]) ).

cnf(refute_0_3567,plain,
    product(c,bigC(b,b,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(b,b,b),b) )],[refute_0_3563,refute_0_3566]) ).

cnf(refute_0_3568,plain,
    bigC(c,c,c) = c,
    inference(subst,[],[refute_0_2195:[bind(X_22,$fot(c))]]) ).

cnf(refute_0_3569,plain,
    product(bigC(c,c,c),bigC(b,b,b)) = product(bigC(c,c,c),bigC(b,b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,c),bigC(b,b,b)))]]) ).

cnf(refute_0_3570,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(b,b,b)) != product(bigC(c,c,c),bigC(b,b,b))
    | product(bigC(c,c,c),bigC(b,b,b)) = product(c,bigC(b,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,c),bigC(b,b,b)),product(bigC(c,c,c),bigC(b,b,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_3571,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(b,b,b)) = product(c,bigC(b,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(b,b,b)),product(bigC(c,c,c),bigC(b,b,b))) )],[refute_0_3569,refute_0_3570]) ).

cnf(refute_0_3572,plain,
    product(bigC(c,c,c),bigC(b,b,b)) = product(c,bigC(b,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,c),c) )],[refute_0_3568,refute_0_3571]) ).

cnf(refute_0_3573,plain,
    ( product(bigC(c,c,c),bigC(b,b,b)) != product(c,bigC(b,b,b))
    | product(c,bigC(b,b,b)) != product(c,b)
    | product(bigC(c,c,c),bigC(b,b,b)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,c,c),bigC(b,b,b)))),bind(Y,$fot(product(c,bigC(b,b,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_3574,plain,
    ( product(c,bigC(b,b,b)) != product(c,b)
    | product(bigC(c,c,c),bigC(b,b,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(b,b,b)),product(c,bigC(b,b,b))) )],[refute_0_3572,refute_0_3573]) ).

cnf(refute_0_3575,plain,
    product(bigC(c,c,c),bigC(b,b,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,b)),product(c,b)) )],[refute_0_3567,refute_0_3574]) ).

cnf(refute_0_3576,plain,
    product(product(c,product(c,b)),bigC(b,b,c)) = product(bigC(c,c,c),bigC(b,b,b)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_3577,plain,
    ( product(bigC(c,c,c),bigC(b,b,b)) != product(c,b)
    | product(product(c,product(c,b)),bigC(b,b,c)) != product(bigC(c,c,c),bigC(b,b,b))
    | product(product(c,product(c,b)),bigC(b,b,c)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),bigC(b,b,c)))),bind(Y,$fot(product(bigC(c,c,c),bigC(b,b,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_3578,plain,
    ( product(bigC(c,c,c),bigC(b,b,b)) != product(c,b)
    | product(product(c,product(c,b)),bigC(b,b,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,b,c)),product(bigC(c,c,c),bigC(b,b,b))) )],[refute_0_3576,refute_0_3577]) ).

cnf(refute_0_3579,plain,
    product(product(c,product(c,b)),bigC(b,b,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(b,b,b)),product(c,b)) )],[refute_0_3575,refute_0_3578]) ).

cnf(refute_0_3580,plain,
    product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3581,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))
    | product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3582,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3580,refute_0_3581]) ).

cnf(refute_0_3583,plain,
    product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_3582]) ).

cnf(refute_0_3584,plain,
    product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3585,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != product(product(product(c,a),b),bigC(b,b,bigC(c,a,b)))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),product(product(product(c,a),b),bigC(b,b,bigC(c,a,b)))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_3586,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),product(product(product(c,a),b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3584,refute_0_3585]) ).

cnf(refute_0_3587,plain,
    product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_3586]) ).

cnf(refute_0_3588,plain,
    ( product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,b,c))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))))),bind(Y,$fot(product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))))),bind(Z,$fot(product(product(c,product(c,b)),bigC(b,b,c))))]]) ).

cnf(refute_0_3589,plain,
    ( product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,b,c))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3587,refute_0_3588]) ).

cnf(refute_0_3590,plain,
    product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,b)),bigC(b,b,c))) )],[refute_0_3583,refute_0_3589]) ).

cnf(refute_0_3591,plain,
    ( product(product(c,product(c,b)),bigC(b,b,c)) != product(c,b)
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,b,c))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))))),bind(Y,$fot(product(product(c,product(c,b)),bigC(b,b,c)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_3592,plain,
    ( product(product(c,product(c,b)),bigC(b,b,c)) != product(c,b)
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),product(product(c,product(c,b)),bigC(b,b,c))) )],[refute_0_3590,refute_0_3591]) ).

cnf(refute_0_3593,plain,
    product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,b,c)),product(c,b)) )],[refute_0_3579,refute_0_3592]) ).

cnf(refute_0_3594,plain,
    difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_3595,plain,
    ( difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b)))
    | product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != product(c,b)
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_3596,plain,
    ( product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))) != product(c,b)
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3594,refute_0_3595]) ).

cnf(refute_0_3597,plain,
    difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),product(c,b)) )],[refute_0_3593,refute_0_3596]) ).

cnf(refute_0_3598,plain,
    ( difference(product(c,b),bigC(b,b,bigC(c,a,b))) != difference(product(c,b),bigC(b,b,c))
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != difference(product(c,b),bigC(b,b,bigC(c,a,b)))
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))))),bind(Y,$fot(difference(product(c,b),bigC(b,b,bigC(c,a,b))))),bind(Z,$fot(difference(product(c,b),bigC(b,b,c))))]]) ).

cnf(refute_0_3599,plain,
    ( difference(product(c,b),bigC(b,b,bigC(c,a,b))) != difference(product(c,b),bigC(b,b,c))
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),difference(product(c,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_3597,refute_0_3598]) ).

cnf(refute_0_3600,plain,
    difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) = difference(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,bigC(c,a,b))),difference(product(c,b),bigC(b,b,c))) )],[refute_0_3562,refute_0_3599]) ).

cnf(refute_0_3601,plain,
    ( difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != difference(product(c,b),bigC(b,b,c))
    | difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) ),[0],$fot(difference(product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_3602,plain,
    ( difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),difference(product(c,b),bigC(b,b,c))) )],[refute_0_3600,refute_0_3601]) ).

cnf(refute_0_3603,plain,
    product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_3604,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))
    | product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3605,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) )],[refute_0_3603,refute_0_3604]) ).

cnf(refute_0_3606,plain,
    product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(b,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_3605]) ).

cnf(refute_0_3607,plain,
    product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_3608,plain,
    ( product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,c),bigC(a,a,b))
    | product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) != product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) ),[1,1],$fot(product(bigC(b,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_3609,plain,
    ( product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(b,b,c),bigC(a,a,b))
    | product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_3607,refute_0_3608]) ).

cnf(refute_0_3610,plain,
    product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(bigC(b,b,c),bigC(a,a,b))) )],[refute_0_3606,refute_0_3609]) ).

cnf(refute_0_3611,plain,
    product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_3612,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3613,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_3611,refute_0_3612]) ).

cnf(refute_0_3614,plain,
    product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_3613]) ).

cnf(refute_0_3615,plain,
    ( product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) != product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) != product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))))),bind(Y,$fot(product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))))),bind(Z,$fot(product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))))]]) ).

cnf(refute_0_3616,plain,
    ( product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) != product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_3614,refute_0_3615]) ).

cnf(refute_0_3617,plain,
    product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_3610,refute_0_3616]) ).

cnf(refute_0_3618,plain,
    ( difference(product(c,b),bigC(b,b,c)) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))) != product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,b),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))) ),[0],$fot(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_3619,plain,
    ( difference(product(c,b),bigC(b,b,c)) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_3617,refute_0_3618]) ).

cnf(refute_0_3620,plain,
    ( difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))) != product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,c)),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_3602,refute_0_3619]) ).

cnf(refute_0_3621,plain,
    difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),bigC(b,b,bigC(c,a,b))),bigC(b,b,bigC(c,a,b))),product(bigC(b,b,bigC(c,a,b)),product(bigC(b,b,bigC(c,a,b)),bigC(a,a,b)))) )],[refute_0_3558,refute_0_3620]) ).

cnf(refute_0_3622,plain,
    product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) = product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_3623,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(b,product(a,c))
    | product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) != product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) = product(bigC(b,b,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3624,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(b,product(a,c))
    | product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) = product(bigC(b,b,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_3622,refute_0_3623]) ).

cnf(refute_0_3625,plain,
    product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) = product(bigC(b,b,c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_3297,refute_0_3624]) ).

cnf(refute_0_3626,plain,
    ( difference(product(c,b),bigC(b,b,c)) != product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))) != product(bigC(b,b,c),product(b,product(a,c)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,b),bigC(b,b,c)),product(bigC(b,b,c),product(b,product(a,c)))) ),[0],$fot(product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_3627,plain,
    ( difference(product(c,b),bigC(b,b,c)) != product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))
    | difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b))),product(bigC(b,b,c),product(b,product(a,c)))) )],[refute_0_3625,refute_0_3626]) ).

cnf(refute_0_3628,plain,
    difference(product(c,b),bigC(b,b,c)) = product(bigC(b,b,c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_3621,refute_0_3627]) ).

cnf(refute_0_3629,plain,
    ( difference(product(c,b),bigC(b,b,c)) != product(bigC(b,b,c),product(b,product(a,c)))
    | product(bigC(b,b,c),product(b,product(a,c))) = difference(product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,b),bigC(b,b,c)))),bind(Y,$fot(product(bigC(b,b,c),product(b,product(a,c)))))]]) ).

cnf(refute_0_3630,plain,
    product(bigC(b,b,c),product(b,product(a,c))) = difference(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,c)),product(bigC(b,b,c),product(b,product(a,c)))) )],[refute_0_3628,refute_0_3629]) ).

cnf(refute_0_3631,plain,
    product(bigC(c,b,b),product(b,product(a,c))) = product(bigC(c,b,b),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(b,product(a,c))))]]) ).

cnf(refute_0_3632,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),product(b,product(a,c))) != product(bigC(c,b,b),product(b,product(a,c)))
    | product(bigC(c,b,b),product(b,product(a,c))) = product(bigC(b,b,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(b,product(a,c))),product(bigC(c,b,b),product(b,product(a,c)))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_3633,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),product(b,product(a,c))) = product(bigC(b,b,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(b,product(a,c))),product(bigC(c,b,b),product(b,product(a,c)))) )],[refute_0_3631,refute_0_3632]) ).

cnf(refute_0_3634,plain,
    product(bigC(c,b,b),product(b,product(a,c))) = product(bigC(b,b,c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_3633]) ).

cnf(refute_0_3635,plain,
    ( product(bigC(b,b,c),product(b,product(a,c))) != difference(product(c,b),bigC(b,b,c))
    | product(bigC(c,b,b),product(b,product(a,c))) != product(bigC(b,b,c),product(b,product(a,c)))
    | product(bigC(c,b,b),product(b,product(a,c))) = difference(product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,b),product(b,product(a,c))))),bind(Y,$fot(product(bigC(b,b,c),product(b,product(a,c))))),bind(Z,$fot(difference(product(c,b),bigC(b,b,c))))]]) ).

cnf(refute_0_3636,plain,
    ( product(bigC(b,b,c),product(b,product(a,c))) != difference(product(c,b),bigC(b,b,c))
    | product(bigC(c,b,b),product(b,product(a,c))) = difference(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(b,product(a,c))),product(bigC(b,b,c),product(b,product(a,c)))) )],[refute_0_3634,refute_0_3635]) ).

cnf(refute_0_3637,plain,
    product(bigC(c,b,b),product(b,product(a,c))) = difference(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(b,product(a,c))),difference(product(c,b),bigC(b,b,c))) )],[refute_0_3630,refute_0_3636]) ).

cnf(refute_0_3638,plain,
    ( product(bigC(c,b,b),product(b,product(a,c))) != difference(product(c,b),bigC(b,b,c))
    | product(bigC(c,b,b),product(b,product(a,c))) != product(b,c)
    | difference(product(c,b),bigC(b,b,c)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(b,product(a,c))),product(b,c)) ),[0],$fot(difference(product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_3639,plain,
    ( product(bigC(c,b,b),product(b,product(a,c))) != product(b,c)
    | difference(product(c,b),bigC(b,b,c)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(b,product(a,c))),difference(product(c,b),bigC(b,b,c))) )],[refute_0_3637,refute_0_3638]) ).

cnf(refute_0_3640,plain,
    difference(product(c,b),bigC(b,b,c)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(b,product(a,c))),product(b,c)) )],[refute_0_3554,refute_0_3639]) ).

cnf(refute_0_3641,plain,
    ( difference(product(c,b),bigC(b,b,c)) != difference(product(b,a),product(b,product(a,c)))
    | difference(product(c,b),bigC(b,b,c)) != product(b,c)
    | product(b,c) = difference(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(b,b,c)),difference(product(b,a),product(b,product(a,c)))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_3642,plain,
    ( difference(product(c,b),bigC(b,b,c)) != difference(product(b,a),product(b,product(a,c)))
    | product(b,c) = difference(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,c)),product(b,c)) )],[refute_0_3640,refute_0_3641]) ).

cnf(refute_0_3643,plain,
    product(b,c) = difference(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,b,c)),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_3408,refute_0_3642]) ).

cnf(refute_0_3644,plain,
    ( product(b,c) != difference(product(b,a),product(b,product(a,c)))
    | difference(product(b,a),product(b,product(a,c))) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_3645,plain,
    difference(product(b,a),product(b,product(a,c))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_3643,refute_0_3644]) ).

cnf(refute_0_3646,plain,
    ( difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(b,product(a,c)))
    | quotient(product(b,product(c,a)),product(b,a)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(b,product(a,c)))) ),[1],$fot(product(b,c))]]) ).

cnf(refute_0_3647,plain,
    ( quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(b,product(a,c)))
    | quotient(product(b,product(c,a)),product(b,a)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,product(a,c))),product(b,c)) )],[refute_0_3645,refute_0_3646]) ).

cnf(refute_0_3648,plain,
    quotient(product(b,product(c,a)),product(b,a)) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2842,refute_0_3647]) ).

cnf(refute_0_3649,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))
    | quotient(product(b,product(c,a)),product(b,a)) != product(b,c)
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))) ),[1,1,1],$fot(product(b,c))]]) ).

cnf(refute_0_3650,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),product(b,c)) )],[refute_0_3648,refute_0_3649]) ).

cnf(refute_0_3651,plain,
    difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))) )],[refute_0_2653,refute_0_3650]) ).

cnf(refute_0_3652,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))
    | quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(b,product(a,c)))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))) ),[1,1,1],$fot(difference(product(b,a),product(b,product(a,c))))]]) ).

cnf(refute_0_3653,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2842,refute_0_3652]) ).

cnf(refute_0_3654,plain,
    difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(product(b,product(c,a)),product(b,a))))) )],[refute_0_2653,refute_0_3653]) ).

cnf(refute_0_3655,plain,
    product(product(b,b),product(product(c,a),a)) = product(product(b,b),product(product(c,a),a)),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(product(c,a),a)))]]) ).

cnf(refute_0_3656,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(c,a),a)) != product(product(b,b),product(product(c,a),a))
    | product(product(b,b),product(product(c,a),a)) = product(b,product(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(product(c,a),a)),product(product(b,b),product(product(c,a),a))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_3657,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(c,a),a)) = product(b,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(c,a),a)),product(product(b,b),product(product(c,a),a))) )],[refute_0_3655,refute_0_3656]) ).

cnf(refute_0_3658,plain,
    product(product(b,b),product(product(c,a),a)) = product(b,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_3657]) ).

cnf(refute_0_3659,plain,
    difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = difference(product(product(b,b),product(product(c,a),a)),product(b,a)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,b),product(product(c,a),a)),product(b,a)))]]) ).

cnf(refute_0_3660,plain,
    ( difference(product(product(b,b),product(product(c,a),a)),product(b,a)) != difference(product(product(b,b),product(product(c,a),a)),product(b,a))
    | product(product(b,b),product(product(c,a),a)) != product(b,product(product(c,a),a))
    | difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = difference(product(b,product(product(c,a),a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,b),product(product(c,a),a)),product(b,a)),difference(product(product(b,b),product(product(c,a),a)),product(b,a))) ),[1,0],$fot(product(b,product(product(c,a),a)))]]) ).

cnf(refute_0_3661,plain,
    ( product(product(b,b),product(product(c,a),a)) != product(b,product(product(c,a),a))
    | difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = difference(product(b,product(product(c,a),a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,b),product(product(c,a),a)),product(b,a)),difference(product(product(b,b),product(product(c,a),a)),product(b,a))) )],[refute_0_3659,refute_0_3660]) ).

cnf(refute_0_3662,plain,
    difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = difference(product(b,product(product(c,a),a)),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(c,a),a)),product(b,product(product(c,a),a))) )],[refute_0_3658,refute_0_3661]) ).

cnf(refute_0_3663,plain,
    difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = difference(product(product(b,b),product(product(c,a),a)),product(b,a)),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(b)),bind(X_64,$fot(product(c,a))),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_3664,plain,
    ( difference(product(product(b,b),product(product(c,a),a)),product(b,a)) != difference(product(b,product(product(c,a),a)),product(b,a))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != difference(product(product(b,b),product(product(c,a),a)),product(b,a))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = difference(product(b,product(product(c,a),a)),product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)))),bind(Y,$fot(difference(product(product(b,b),product(product(c,a),a)),product(b,a)))),bind(Z,$fot(difference(product(b,product(product(c,a),a)),product(b,a))))]]) ).

cnf(refute_0_3665,plain,
    ( difference(product(product(b,b),product(product(c,a),a)),product(b,a)) != difference(product(b,product(product(c,a),a)),product(b,a))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = difference(product(b,product(product(c,a),a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),difference(product(product(b,b),product(product(c,a),a)),product(b,a))) )],[refute_0_3663,refute_0_3664]) ).

cnf(refute_0_3666,plain,
    difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = difference(product(b,product(product(c,a),a)),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,b),product(product(c,a),a)),product(b,a)),difference(product(b,product(product(c,a),a)),product(b,a))) )],[refute_0_3662,refute_0_3665]) ).

cnf(refute_0_3667,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != difference(product(b,product(product(c,a),a)),product(b,a))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))
    | difference(product(b,product(product(c,a),a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))) ),[0],$fot(difference(product(b,product(product(c,a),a)),product(b,a)))]]) ).

cnf(refute_0_3668,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))
    | difference(product(b,product(product(c,a),a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),difference(product(b,product(product(c,a),a)),product(b,a))) )],[refute_0_3666,refute_0_3667]) ).

cnf(refute_0_3669,plain,
    product(product(b,a),product(b,product(a,c))) = product(b,product(a,product(a,c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(product(a,c)))]]) ).

cnf(refute_0_3670,plain,
    product(product(b,a),difference(product(b,a),product(b,product(a,c)))) = product(b,product(a,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(b,a))),bind(B,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_3671,plain,
    product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))))]]) ).

cnf(refute_0_3672,plain,
    ( product(product(b,a),difference(product(b,a),product(b,product(a,c)))) != product(b,product(a,c))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) != product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))),product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_3673,plain,
    ( product(product(b,a),difference(product(b,a),product(b,product(a,c)))) != product(b,product(a,c))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))),product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))) )],[refute_0_3671,refute_0_3672]) ).

cnf(refute_0_3674,plain,
    product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(b,a),product(b,product(a,c)))),product(b,product(a,c))) )],[refute_0_3670,refute_0_3673]) ).

cnf(refute_0_3675,plain,
    ( product(product(b,a),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) != product(product(b,a),product(b,product(a,c)))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))))),bind(Y,$fot(product(product(b,a),product(b,product(a,c))))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_3676,plain,
    ( product(product(b,a),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))),product(product(b,a),product(b,product(a,c)))) )],[refute_0_3674,refute_0_3675]) ).

cnf(refute_0_3677,plain,
    product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_3669,refute_0_3676]) ).

cnf(refute_0_3678,plain,
    ( difference(product(b,product(product(c,a),a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))) != product(b,product(a,product(a,c)))
    | difference(product(b,product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,product(product(c,a),a)),product(b,a)),product(b,product(a,product(a,c)))) ),[0],$fot(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))))]]) ).

cnf(refute_0_3679,plain,
    ( difference(product(b,product(product(c,a),a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))
    | difference(product(b,product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c))))),product(b,product(a,product(a,c)))) )],[refute_0_3677,refute_0_3678]) ).

cnf(refute_0_3680,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))
    | difference(product(b,product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(product(c,a),a)),product(b,a)),product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))) )],[refute_0_3668,refute_0_3679]) ).

cnf(refute_0_3681,plain,
    difference(product(b,product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),difference(product(b,a),product(b,product(a,c)))))) )],[refute_0_3654,refute_0_3680]) ).

cnf(refute_0_3682,plain,
    ( difference(product(b,product(product(c,a),a)),product(b,a)) != product(b,product(a,product(a,c)))
    | difference(product(product(b,b),product(product(c,a),a)),product(b,a)) != difference(product(b,product(product(c,a),a)),product(b,a))
    | difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,b),product(product(c,a),a)),product(b,a)))),bind(Y,$fot(difference(product(b,product(product(c,a),a)),product(b,a)))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_3683,plain,
    ( difference(product(b,product(product(c,a),a)),product(b,a)) != product(b,product(a,product(a,c)))
    | difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,b),product(product(c,a),a)),product(b,a)),difference(product(b,product(product(c,a),a)),product(b,a))) )],[refute_0_3662,refute_0_3682]) ).

cnf(refute_0_3684,plain,
    difference(product(product(b,b),product(product(c,a),a)),product(b,a)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(product(c,a),a)),product(b,a)),product(b,product(a,product(a,c)))) )],[refute_0_3681,refute_0_3683]) ).

cnf(refute_0_3685,plain,
    ( difference(product(product(b,b),product(product(c,a),a)),product(b,a)) != product(b,product(a,product(a,c)))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != difference(product(product(b,b),product(product(c,a),a)),product(b,a))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)))),bind(Y,$fot(difference(product(product(b,b),product(product(c,a),a)),product(b,a)))),bind(Z,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_3686,plain,
    ( difference(product(product(b,b),product(product(c,a),a)),product(b,a)) != product(b,product(a,product(a,c)))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),difference(product(product(b,b),product(product(c,a),a)),product(b,a))) )],[refute_0_3663,refute_0_3685]) ).

cnf(refute_0_3687,plain,
    difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,b),product(product(c,a),a)),product(b,a)),product(b,product(a,product(a,c)))) )],[refute_0_3684,refute_0_3686]) ).

cnf(refute_0_3688,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(b,product(a,product(a,c)))
    | difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(b,c)))
    | product(b,product(a,product(a,c))) = product(product(b,a),product(product(b,a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(b,c)))) ),[0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_3689,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(b,c)))
    | product(b,product(a,product(a,c))) = product(product(b,a),product(product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(b,product(a,product(a,c)))) )],[refute_0_3687,refute_0_3688]) ).

cnf(refute_0_3690,plain,
    product(product(product(b,b),product(c,a)),c) = product(product(product(b,b),product(c,a)),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,b),product(c,a)),c))]]) ).

cnf(refute_0_3691,plain,
    ( product(product(b,b),product(c,a)) != product(b,product(c,a))
    | product(product(product(b,b),product(c,a)),c) != product(product(product(b,b),product(c,a)),c)
    | product(product(product(b,b),product(c,a)),c) = product(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,b),product(c,a)),c),product(product(product(b,b),product(c,a)),c)) ),[1,0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_3692,plain,
    ( product(product(b,b),product(c,a)) != product(b,product(c,a))
    | product(product(product(b,b),product(c,a)),c) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,b),product(c,a)),c),product(product(product(b,b),product(c,a)),c)) )],[refute_0_3690,refute_0_3691]) ).

cnf(refute_0_3693,plain,
    product(product(product(b,b),product(c,a)),c) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,a)),product(b,product(c,a))) )],[refute_0_2297,refute_0_3692]) ).

cnf(refute_0_3694,plain,
    product(product(product(b,c),product(b,a)),c) = product(product(product(b,b),product(c,a)),c),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_3695,plain,
    bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(b,a))),bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_3696,plain,
    product(quotient(quotient(product(b,a),product(c,a)),product(b,a)),product(b,a)) = quotient(product(b,a),product(c,a)),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(product(b,a),product(c,a)))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_3697,plain,
    quotient(quotient(product(b,a),product(product(b,a),product(a,c))),product(b,a)) = difference(product(b,a),product(product(a,c),product(b,a))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(b,a))),bind(X_29,$fot(product(a,c)))]]) ).

cnf(refute_0_3698,plain,
    product(quotient(product(c,a),product(a,c)),product(a,c)) = product(c,a),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,a))),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_3699,plain,
    quotient(quotient(product(a,c),product(product(a,c),product(c,b))),product(a,c)) = difference(product(a,c),product(product(c,b),product(a,c))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,c))),bind(X_29,$fot(product(c,b)))]]) ).

cnf(refute_0_3700,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | quotient(quotient(product(a,c),product(product(a,c),product(c,b))),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(quotient(product(a,c),product(a,b)),product(a,c)) = difference(product(a,c),product(product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(product(a,c),product(c,b))),product(a,c)),difference(product(a,c),product(product(c,b),product(a,c)))) ),[0,0,1],$fot(product(a,b))]]) ).

cnf(refute_0_3701,plain,
    ( quotient(quotient(product(a,c),product(product(a,c),product(c,b))),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(quotient(product(a,c),product(a,b)),product(a,c)) = difference(product(a,c),product(product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_3700]) ).

cnf(refute_0_3702,plain,
    quotient(quotient(product(a,c),product(a,b)),product(a,c)) = difference(product(a,c),product(product(c,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(product(a,c),product(c,b))),product(a,c)),difference(product(a,c),product(product(c,b),product(a,c)))) )],[refute_0_3699,refute_0_3701]) ).

cnf(refute_0_3703,plain,
    quotient(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)) = product(bigC(c,b,a),a),
    inference(subst,[],[sos03:[bind(A,$fot(product(bigC(c,b,a),a))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_3704,plain,
    ( product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | quotient(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)) != product(bigC(c,b,a),a)
    | quotient(product(a,c),product(a,b)) = product(bigC(c,b,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(bigC(c,b,a),a)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_3705,plain,
    ( quotient(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)) != product(bigC(c,b,a),a)
    | quotient(product(a,c),product(a,b)) = product(bigC(c,b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_3704]) ).

cnf(refute_0_3706,plain,
    quotient(product(a,c),product(a,b)) = product(bigC(c,b,a),a),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(c,b,a),a),product(a,b)),product(a,b)),product(bigC(c,b,a),a)) )],[refute_0_3703,refute_0_3705]) ).

cnf(refute_0_3707,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | quotient(product(a,c),product(a,b)) != product(bigC(c,b,a),a)
    | quotient(product(a,c),product(a,b)) = product(bigC(c,a,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(bigC(c,b,a),a)) ),[1],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_3708,plain,
    ( quotient(product(a,c),product(a,b)) != product(bigC(c,b,a),a)
    | quotient(product(a,c),product(a,b)) = product(bigC(c,a,b),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_3707]) ).

cnf(refute_0_3709,plain,
    quotient(product(a,c),product(a,b)) = product(bigC(c,a,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(bigC(c,b,a),a)) )],[refute_0_3706,refute_0_3708]) ).

cnf(refute_0_3710,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | quotient(product(a,c),product(a,b)) != product(bigC(c,a,b),a)
    | quotient(product(a,c),product(a,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(bigC(c,a,b),a)) ),[1],$fot(product(c,a))]]) ).

cnf(refute_0_3711,plain,
    ( quotient(product(a,c),product(a,b)) != product(bigC(c,a,b),a)
    | quotient(product(a,c),product(a,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_3710]) ).

cnf(refute_0_3712,plain,
    quotient(product(a,c),product(a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(bigC(c,a,b),a)) )],[refute_0_3709,refute_0_3711]) ).

cnf(refute_0_3713,plain,
    quotient(quotient(product(a,c),product(a,b)),product(a,c)) = quotient(quotient(product(a,c),product(a,b)),product(a,c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,c),product(a,b)),product(a,c)))]]) ).

cnf(refute_0_3714,plain,
    ( quotient(product(a,c),product(a,b)) != product(c,a)
    | quotient(quotient(product(a,c),product(a,b)),product(a,c)) != quotient(quotient(product(a,c),product(a,b)),product(a,c))
    | quotient(quotient(product(a,c),product(a,b)),product(a,c)) = quotient(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(a,b)),product(a,c)),quotient(quotient(product(a,c),product(a,b)),product(a,c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_3715,plain,
    ( quotient(product(a,c),product(a,b)) != product(c,a)
    | quotient(quotient(product(a,c),product(a,b)),product(a,c)) = quotient(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,b)),product(a,c)),quotient(quotient(product(a,c),product(a,b)),product(a,c))) )],[refute_0_3713,refute_0_3714]) ).

cnf(refute_0_3716,plain,
    quotient(quotient(product(a,c),product(a,b)),product(a,c)) = quotient(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,b)),product(c,a)) )],[refute_0_3712,refute_0_3715]) ).

cnf(refute_0_3717,plain,
    ( quotient(quotient(product(a,c),product(a,b)),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(quotient(product(a,c),product(a,b)),product(a,c)) != quotient(product(c,a),product(a,c))
    | quotient(product(c,a),product(a,c)) = difference(product(a,c),product(product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(a,b)),product(a,c)),difference(product(a,c),product(product(c,b),product(a,c)))) ),[0],$fot(quotient(product(c,a),product(a,c)))]]) ).

cnf(refute_0_3718,plain,
    ( quotient(quotient(product(a,c),product(a,b)),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(product(c,a),product(a,c)) = difference(product(a,c),product(product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,b)),product(a,c)),quotient(product(c,a),product(a,c))) )],[refute_0_3716,refute_0_3717]) ).

cnf(refute_0_3719,plain,
    product(product(c,a),product(b,c)) = bigC(c,a,b),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_3720,plain,
    ( bigC(c,a,b) != c
    | product(product(c,a),product(b,c)) != bigC(c,a,b)
    | product(product(c,a),product(b,c)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(b,c)))),bind(Y,$fot(bigC(c,a,b))),bind(Z,$fot(c))]]) ).

cnf(refute_0_3721,plain,
    ( bigC(c,a,b) != c
    | product(product(c,a),product(b,c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,c)),bigC(c,a,b)) )],[refute_0_3719,refute_0_3720]) ).

cnf(refute_0_3722,plain,
    product(product(c,a),product(b,c)) = c,
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_3721]) ).

cnf(refute_0_3723,plain,
    product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,C),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),
    inference(subst,[],[sos05:[bind(B,$fot(a)),bind(D,$fot(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_3724,plain,
    product(product(product(a,bigC(c,b,c)),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))),
    inference(subst,[],[refute_0_2356:[bind(B,$fot(product(a,bigC(c,b,c)))),bind(X_15,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_3725,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | product(product(product(a,bigC(c,b,c)),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(c,b,c)),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) ),[0,0,1],$fot(product(a,c))]]) ).

cnf(refute_0_3726,plain,
    ( product(product(product(a,bigC(c,b,c)),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,c)) )],[refute_0_2152,refute_0_3725]) ).

cnf(refute_0_3727,plain,
    product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,b,c)),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) )],[refute_0_3724,refute_0_3726]) ).

cnf(refute_0_3728,plain,
    product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(product(bigC(c,b,c),c))),bind(X_66,$fot(product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_3729,plain,
    product(product(a,c),product(a,product(c,product(c,b)))) = product(a,product(c,product(c,product(c,b)))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_3730,plain,
    product(product(a,c),product(a,product(c,b))) = product(a,product(c,product(c,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_3731,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))]]) ).

cnf(refute_0_3732,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) != product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(product(a,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_3733,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(product(a,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) )],[refute_0_3731,refute_0_3732]) ).

cnf(refute_0_3734,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(product(a,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,c)) )],[refute_0_2152,refute_0_3733]) ).

cnf(refute_0_3735,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) != product(product(a,c),product(a,product(c,b)))
    | product(product(a,c),product(a,product(c,b))) != product(a,product(c,product(c,b)))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),bind(Y,$fot(product(product(a,c),product(a,product(c,b))))),bind(Z,$fot(product(a,product(c,product(c,b)))))]]) ).

cnf(refute_0_3736,plain,
    ( product(product(a,c),product(a,product(c,b))) != product(a,product(c,product(c,b)))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(product(a,c),product(a,product(c,b)))) )],[refute_0_3734,refute_0_3735]) ).

cnf(refute_0_3737,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(c,b))),product(a,product(c,product(c,b)))) )],[refute_0_3730,refute_0_3736]) ).

cnf(refute_0_3738,plain,
    product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))]]) ).

cnf(refute_0_3739,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) != product(a,product(c,product(c,b)))
    | product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))
    | product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(a,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) ),[1,1],$fot(product(a,product(c,product(c,b))))]]) ).

cnf(refute_0_3740,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))) != product(a,product(c,product(c,b)))
    | product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) )],[refute_0_3738,refute_0_3739]) ).

cnf(refute_0_3741,plain,
    product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))),product(a,product(c,product(c,b)))) )],[refute_0_3737,refute_0_3740]) ).

cnf(refute_0_3742,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))]]) ).

cnf(refute_0_3743,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_3744,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) )],[refute_0_3742,refute_0_3743]) ).

cnf(refute_0_3745,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,c)) )],[refute_0_2152,refute_0_3744]) ).

cnf(refute_0_3746,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))
    | product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(product(a,c),product(a,product(c,product(c,b))))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(a,product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))),bind(Y,$fot(product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))),bind(Z,$fot(product(product(a,c),product(a,product(c,product(c,b))))))]]) ).

cnf(refute_0_3747,plain,
    ( product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(product(a,c),product(a,product(c,product(c,b))))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) )],[refute_0_3745,refute_0_3746]) ).

cnf(refute_0_3748,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(product(a,c),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(product(a,c),product(a,product(c,product(c,b))))) )],[refute_0_3741,refute_0_3747]) ).

cnf(refute_0_3749,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(product(a,c),product(a,product(c,product(c,b))))
    | product(product(a,c),product(a,product(c,product(c,b)))) != product(a,product(c,product(c,product(c,b))))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(a,product(c,product(c,product(c,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))),bind(Y,$fot(product(product(a,c),product(a,product(c,product(c,b)))))),bind(Z,$fot(product(a,product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_3750,plain,
    ( product(product(a,c),product(a,product(c,product(c,b)))) != product(a,product(c,product(c,product(c,b))))
    | product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(a,product(c,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(product(a,c),product(a,product(c,product(c,b))))) )],[refute_0_3748,refute_0_3749]) ).

cnf(refute_0_3751,plain,
    product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) = product(a,product(c,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(c,product(c,b)))),product(a,product(c,product(c,product(c,b))))) )],[refute_0_3729,refute_0_3750]) ).

cnf(refute_0_3752,plain,
    product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))]]) ).

cnf(refute_0_3753,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(a,product(c,product(c,product(c,b))))
    | product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))
    | product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))) ),[1,1],$fot(product(a,product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_3754,plain,
    ( product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))) != product(a,product(c,product(c,product(c,b))))
    | product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))) )],[refute_0_3752,refute_0_3753]) ).

cnf(refute_0_3755,plain,
    product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))),product(a,product(c,product(c,product(c,b))))) )],[refute_0_3751,refute_0_3754]) ).

cnf(refute_0_3756,plain,
    product(product(a,a),product(bigC(c,b,c),c)) = product(product(a,a),product(bigC(c,b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_3757,plain,
    ( product(a,a) != a
    | product(product(a,a),product(bigC(c,b,c),c)) != product(product(a,a),product(bigC(c,b,c),c))
    | product(product(a,a),product(bigC(c,b,c),c)) = product(a,product(bigC(c,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(bigC(c,b,c),c)),product(product(a,a),product(bigC(c,b,c),c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_3758,plain,
    ( product(a,a) != a
    | product(product(a,a),product(bigC(c,b,c),c)) = product(a,product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,b,c),c)),product(product(a,a),product(bigC(c,b,c),c))) )],[refute_0_3756,refute_0_3757]) ).

cnf(refute_0_3759,plain,
    product(product(a,a),product(bigC(c,b,c),c)) = product(a,product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_3758]) ).

cnf(refute_0_3760,plain,
    product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))]]) ).

cnf(refute_0_3761,plain,
    ( product(product(a,a),product(bigC(c,b,c),c)) != product(a,product(bigC(c,b,c),c))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))) ),[1,0],$fot(product(a,product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_3762,plain,
    ( product(product(a,a),product(bigC(c,b,c),c)) != product(a,product(bigC(c,b,c),c))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))) )],[refute_0_3760,refute_0_3761]) ).

cnf(refute_0_3763,plain,
    product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(bigC(c,b,c),c)),product(a,product(bigC(c,b,c),c))) )],[refute_0_3759,refute_0_3762]) ).

cnf(refute_0_3764,plain,
    ( product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))),bind(Y,$fot(product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))),bind(Z,$fot(product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b)))))))]]) ).

cnf(refute_0_3765,plain,
    ( product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))) )],[refute_0_3763,refute_0_3764]) ).

cnf(refute_0_3766,plain,
    product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b)))))) )],[refute_0_3755,refute_0_3765]) ).

cnf(refute_0_3767,plain,
    ( product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) != product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))),bind(Y,$fot(product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))))),bind(Z,$fot(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))))]]) ).

cnf(refute_0_3768,plain,
    ( product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))) != product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))
    | product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b)))))) )],[refute_0_3766,refute_0_3767]) ).

cnf(refute_0_3769,plain,
    product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(a,product(bigC(c,b,c),c)),product(a,product(c,product(c,product(c,b))))),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) )],[refute_0_3728,refute_0_3768]) ).

cnf(refute_0_3770,plain,
    product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(bigC(c,b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_3771,plain,
    ( product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))
    | product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))
    | product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))),bind(Y,$fot(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))))),bind(Z,$fot(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))))]]) ).

cnf(refute_0_3772,plain,
    ( product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))
    | product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b)))))) )],[refute_0_3770,refute_0_3771]) ).

cnf(refute_0_3773,plain,
    product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) = product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(bigC(c,b,c),c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) )],[refute_0_3769,refute_0_3772]) ).

cnf(refute_0_3774,plain,
    ( product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) ),[0],$fot(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_3775,plain,
    ( product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = difference(product(a,product(c,b)),product(a,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) )],[refute_0_3773,refute_0_3774]) ).

cnf(refute_0_3776,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,c))) != product(a,c)
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) ),[1],$fot(product(a,c))]]) ).

cnf(refute_0_3777,plain,
    ( product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,c)) )],[refute_0_2152,refute_0_3776]) ).

cnf(refute_0_3778,plain,
    ( product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))) != difference(product(a,product(c,b)),product(a,bigC(c,b,c)))
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) )],[refute_0_3775,refute_0_3777]) ).

cnf(refute_0_3779,plain,
    product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,b,c)),product(a,c)),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(difference(product(a,product(c,b)),product(a,bigC(c,b,c))),product(a,product(c,b))))),difference(product(a,product(c,b)),product(a,bigC(c,b,c)))) )],[refute_0_3727,refute_0_3778]) ).

cnf(refute_0_3780,plain,
    ( product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != product(a,c)
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(A,C),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,C),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,C),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_3781,plain,
    ( product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(A,C),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,C),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(a,c)) )],[refute_0_3779,refute_0_3780]) ).

cnf(refute_0_3782,plain,
    product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,C),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,C),product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))) )],[refute_0_3723,refute_0_3781]) ).

cnf(refute_0_3783,plain,
    difference(a,product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_3784,plain,
    ( difference(a,product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))
    | product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != product(a,c)
    | difference(a,product(a,c)) = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_3785,plain,
    ( difference(a,product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))
    | difference(a,product(a,c)) = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(a,c)) )],[refute_0_3779,refute_0_3784]) ).

cnf(refute_0_3786,plain,
    difference(a,product(a,c)) = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) )],[refute_0_3783,refute_0_3785]) ).

cnf(refute_0_3787,plain,
    difference(a,product(a,c)) = c,
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(c))]]) ).

cnf(refute_0_3788,plain,
    ( difference(a,product(a,c)) != c
    | difference(a,product(a,c)) != product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))
    | c = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,c)),product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) ),[0],$fot(c)]]) ).

cnf(refute_0_3789,plain,
    ( difference(a,product(a,c)) != product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))
    | c = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,c)),c) )],[refute_0_3787,refute_0_3788]) ).

cnf(refute_0_3790,plain,
    c = product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(a,product(a,c)),product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) )],[refute_0_3786,refute_0_3789]) ).

cnf(refute_0_3791,plain,
    ( c != product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))
    | product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_3792,plain,
    product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) = c,
    inference(resolve,[$cnf( $equal(c,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) )],[refute_0_3790,refute_0_3791]) ).

cnf(refute_0_3793,plain,
    product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_3794,plain,
    ( product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))
    | product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) != c
    | product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(C,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3795,plain,
    ( product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) != c
    | product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(C,c) ),
    inference(resolve,[$cnf( $equal(product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) )],[refute_0_3793,refute_0_3794]) ).

cnf(refute_0_3796,plain,
    product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) = product(C,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),c) )],[refute_0_3792,refute_0_3795]) ).

cnf(refute_0_3797,plain,
    product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))))]]) ).

cnf(refute_0_3798,plain,
    ( product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != product(C,c)
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,a),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))) ),[1,1],$fot(product(C,c))]]) ).

cnf(refute_0_3799,plain,
    ( product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != product(C,c)
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,a),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))) )],[refute_0_3797,refute_0_3798]) ).

cnf(refute_0_3800,plain,
    product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) = product(product(A,a),product(C,c)),
    inference(resolve,[$cnf( $equal(product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(C,c)) )],[refute_0_3796,refute_0_3799]) ).

cnf(refute_0_3801,plain,
    ( product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(A,C),product(a,c))
    | product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(A,a),product(C,c))
    | product(product(A,a),product(C,c)) = product(product(A,C),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,C),product(a,c))) ),[0],$fot(product(product(A,a),product(C,c)))]]) ).

cnf(refute_0_3802,plain,
    ( product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))) != product(product(A,C),product(a,c))
    | product(product(A,a),product(C,c)) = product(product(A,C),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,a),product(C,c))) )],[refute_0_3800,refute_0_3801]) ).

cnf(refute_0_3803,plain,
    product(product(A,a),product(C,c)) = product(product(A,C),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))))),product(product(A,C),product(a,c))) )],[refute_0_3782,refute_0_3802]) ).

cnf(refute_0_3804,plain,
    ( product(product(A,a),product(C,c)) != product(product(A,C),product(a,c))
    | product(product(A,C),product(a,c)) = product(product(A,a),product(C,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,a),product(C,c)))),bind(Y,$fot(product(product(A,C),product(a,c))))]]) ).

cnf(refute_0_3805,plain,
    product(product(A,C),product(a,c)) = product(product(A,a),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,c)),product(product(A,C),product(a,c))) )],[refute_0_3803,refute_0_3804]) ).

cnf(refute_0_3806,plain,
    product(product(c,b),product(a,c)) = product(product(c,a),product(b,c)),
    inference(subst,[],[refute_0_3805:[bind(A,$fot(c)),bind(C,$fot(b))]]) ).

cnf(refute_0_3807,plain,
    ( product(product(c,a),product(b,c)) != c
    | product(product(c,b),product(a,c)) != product(product(c,a),product(b,c))
    | product(product(c,b),product(a,c)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(a,c)))),bind(Y,$fot(product(product(c,a),product(b,c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_3808,plain,
    ( product(product(c,a),product(b,c)) != c
    | product(product(c,b),product(a,c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),product(product(c,a),product(b,c))) )],[refute_0_3806,refute_0_3807]) ).

cnf(refute_0_3809,plain,
    product(product(c,b),product(a,c)) = c,
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,c)),c) )],[refute_0_3722,refute_0_3808]) ).

cnf(refute_0_3810,plain,
    difference(product(a,c),product(product(c,b),product(a,c))) = difference(product(a,c),product(product(c,b),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),product(product(c,b),product(a,c))))]]) ).

cnf(refute_0_3811,plain,
    ( difference(product(a,c),product(product(c,b),product(a,c))) != difference(product(a,c),product(product(c,b),product(a,c)))
    | product(product(c,b),product(a,c)) != c
    | difference(product(a,c),product(product(c,b),product(a,c))) = difference(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(c,b),product(a,c))),difference(product(a,c),product(product(c,b),product(a,c)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3812,plain,
    ( product(product(c,b),product(a,c)) != c
    | difference(product(a,c),product(product(c,b),product(a,c))) = difference(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(c,b),product(a,c))),difference(product(a,c),product(product(c,b),product(a,c)))) )],[refute_0_3810,refute_0_3811]) ).

cnf(refute_0_3813,plain,
    difference(product(a,c),product(product(c,b),product(a,c))) = difference(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),c) )],[refute_0_3809,refute_0_3812]) ).

cnf(refute_0_3814,plain,
    ( difference(product(a,c),c) != product(b,a)
    | difference(product(a,c),product(product(c,b),product(a,c))) != difference(product(a,c),c)
    | difference(product(a,c),product(product(c,b),product(a,c))) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,c),product(product(c,b),product(a,c))))),bind(Y,$fot(difference(product(a,c),c))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_3815,plain,
    ( difference(product(a,c),c) != product(b,a)
    | difference(product(a,c),product(product(c,b),product(a,c))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(c,b),product(a,c))),difference(product(a,c),c)) )],[refute_0_3813,refute_0_3814]) ).

cnf(refute_0_3816,plain,
    difference(product(a,c),product(product(c,b),product(a,c))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(product(a,c),c),product(b,a)) )],[refute_0_1955,refute_0_3815]) ).

cnf(refute_0_3817,plain,
    ( difference(product(a,c),product(product(c,b),product(a,c))) != product(b,a)
    | quotient(product(c,a),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(product(c,a),product(a,c)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),product(a,c)),difference(product(a,c),product(product(c,b),product(a,c)))) ),[1],$fot(product(b,a))]]) ).

cnf(refute_0_3818,plain,
    ( quotient(product(c,a),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(product(c,a),product(a,c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(c,b),product(a,c))),product(b,a)) )],[refute_0_3816,refute_0_3817]) ).

cnf(refute_0_3819,plain,
    ( quotient(quotient(product(a,c),product(a,b)),product(a,c)) != difference(product(a,c),product(product(c,b),product(a,c)))
    | quotient(product(c,a),product(a,c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(a,c)),difference(product(a,c),product(product(c,b),product(a,c)))) )],[refute_0_3718,refute_0_3818]) ).

cnf(refute_0_3820,plain,
    quotient(product(c,a),product(a,c)) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,b)),product(a,c)),difference(product(a,c),product(product(c,b),product(a,c)))) )],[refute_0_3702,refute_0_3819]) ).

cnf(refute_0_3821,plain,
    ( product(quotient(product(c,a),product(a,c)),product(a,c)) != product(c,a)
    | quotient(product(c,a),product(a,c)) != product(b,a)
    | product(product(b,a),product(a,c)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,a),product(a,c)),product(a,c)),product(c,a)) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_3822,plain,
    ( product(quotient(product(c,a),product(a,c)),product(a,c)) != product(c,a)
    | product(product(b,a),product(a,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(a,c)),product(b,a)) )],[refute_0_3820,refute_0_3821]) ).

cnf(refute_0_3823,plain,
    product(product(b,a),product(a,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,a),product(a,c)),product(a,c)),product(c,a)) )],[refute_0_3698,refute_0_3822]) ).

cnf(refute_0_3824,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | quotient(quotient(product(b,a),product(product(b,a),product(a,c))),product(b,a)) != difference(product(b,a),product(product(a,c),product(b,a)))
    | quotient(quotient(product(b,a),product(c,a)),product(b,a)) = difference(product(b,a),product(product(a,c),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(product(b,a),product(a,c))),product(b,a)),difference(product(b,a),product(product(a,c),product(b,a)))) ),[0,0,1],$fot(product(c,a))]]) ).

cnf(refute_0_3825,plain,
    ( quotient(quotient(product(b,a),product(product(b,a),product(a,c))),product(b,a)) != difference(product(b,a),product(product(a,c),product(b,a)))
    | quotient(quotient(product(b,a),product(c,a)),product(b,a)) = difference(product(b,a),product(product(a,c),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_3824]) ).

cnf(refute_0_3826,plain,
    quotient(quotient(product(b,a),product(c,a)),product(b,a)) = difference(product(b,a),product(product(a,c),product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(product(b,a),product(a,c))),product(b,a)),difference(product(b,a),product(product(a,c),product(b,a)))) )],[refute_0_3697,refute_0_3825]) ).

cnf(refute_0_3827,plain,
    product(product(a,b),product(c,a)) = bigC(a,b,c),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_3828,plain,
    ( bigC(a,b,c) != c
    | product(product(a,b),product(c,a)) != bigC(a,b,c)
    | product(product(a,b),product(c,a)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(c,a)))),bind(Y,$fot(bigC(a,b,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_3829,plain,
    ( bigC(a,b,c) != c
    | product(product(a,b),product(c,a)) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,a)),bigC(a,b,c)) )],[refute_0_3827,refute_0_3828]) ).

cnf(refute_0_3830,plain,
    product(product(a,b),product(c,a)) = c,
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_3829]) ).

cnf(refute_0_3831,plain,
    difference(product(b,a),product(product(a,b),product(c,a))) = difference(product(b,a),product(product(a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),product(product(a,b),product(c,a))))]]) ).

cnf(refute_0_3832,plain,
    ( difference(product(b,a),product(product(a,b),product(c,a))) != difference(product(b,a),product(product(a,b),product(c,a)))
    | product(product(a,b),product(c,a)) != c
    | difference(product(b,a),product(product(a,b),product(c,a))) = difference(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(product(a,b),product(c,a))),difference(product(b,a),product(product(a,b),product(c,a)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3833,plain,
    ( product(product(a,b),product(c,a)) != c
    | difference(product(b,a),product(product(a,b),product(c,a))) = difference(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(a,b),product(c,a))),difference(product(b,a),product(product(a,b),product(c,a)))) )],[refute_0_3831,refute_0_3832]) ).

cnf(refute_0_3834,plain,
    difference(product(b,a),product(product(a,b),product(c,a))) = difference(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,a)),c) )],[refute_0_3830,refute_0_3833]) ).

cnf(refute_0_3835,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(product(b,a),product(product(a,b),product(c,a))) != difference(product(b,a),c)
    | difference(product(b,a),product(product(a,b),product(c,a))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),product(product(a,b),product(c,a))))),bind(Y,$fot(difference(product(b,a),c))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_3836,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(product(b,a),product(product(a,b),product(c,a))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(a,b),product(c,a))),difference(product(b,a),c)) )],[refute_0_3834,refute_0_3835]) ).

cnf(refute_0_3837,plain,
    difference(product(b,a),product(product(a,b),product(c,a))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_3375,refute_0_3836]) ).

cnf(refute_0_3838,plain,
    quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) = difference(product(B,D),product(product(A,C),product(B,D))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(B,D))),bind(X_29,$fot(product(A,C)))]]) ).

cnf(refute_0_3839,plain,
    ( product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) != difference(product(B,D),product(product(A,C),product(B,D)))
    | quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) = difference(product(B,D),product(product(A,B),product(C,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)),difference(product(B,D),product(product(A,C),product(B,D)))) ),[1,1],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_3840,plain,
    ( quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) != difference(product(B,D),product(product(A,C),product(B,D)))
    | quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) = difference(product(B,D),product(product(A,B),product(C,D))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_35,refute_0_3839]) ).

cnf(refute_0_3841,plain,
    quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) = difference(product(B,D),product(product(A,B),product(C,D))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)),difference(product(B,D),product(product(A,C),product(B,D)))) )],[refute_0_3838,refute_0_3840]) ).

cnf(refute_0_3842,plain,
    ( quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) != difference(product(B,D),product(product(A,B),product(C,D)))
    | quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) != difference(product(B,D),product(product(A,C),product(B,D)))
    | difference(product(B,D),product(product(A,C),product(B,D))) = difference(product(B,D),product(product(A,B),product(C,D))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)),difference(product(B,D),product(product(A,B),product(C,D)))) ),[0],$fot(difference(product(B,D),product(product(A,C),product(B,D))))]]) ).

cnf(refute_0_3843,plain,
    ( quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)) != difference(product(B,D),product(product(A,B),product(C,D)))
    | difference(product(B,D),product(product(A,C),product(B,D))) = difference(product(B,D),product(product(A,B),product(C,D))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)),difference(product(B,D),product(product(A,C),product(B,D)))) )],[refute_0_3838,refute_0_3842]) ).

cnf(refute_0_3844,plain,
    difference(product(B,D),product(product(A,C),product(B,D))) = difference(product(B,D),product(product(A,B),product(C,D))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(B,D),product(product(B,D),product(A,C))),product(B,D)),difference(product(B,D),product(product(A,B),product(C,D)))) )],[refute_0_3841,refute_0_3843]) ).

cnf(refute_0_3845,plain,
    difference(product(b,a),product(product(a,c),product(b,a))) = difference(product(b,a),product(product(a,b),product(c,a))),
    inference(subst,[],[refute_0_3844:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_3846,plain,
    ( difference(product(b,a),product(product(a,b),product(c,a))) != product(c,b)
    | difference(product(b,a),product(product(a,c),product(b,a))) != difference(product(b,a),product(product(a,b),product(c,a)))
    | difference(product(b,a),product(product(a,c),product(b,a))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),product(product(a,c),product(b,a))))),bind(Y,$fot(difference(product(b,a),product(product(a,b),product(c,a))))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_3847,plain,
    ( difference(product(b,a),product(product(a,b),product(c,a))) != product(c,b)
    | difference(product(b,a),product(product(a,c),product(b,a))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(a,c),product(b,a))),difference(product(b,a),product(product(a,b),product(c,a)))) )],[refute_0_3845,refute_0_3846]) ).

cnf(refute_0_3848,plain,
    difference(product(b,a),product(product(a,c),product(b,a))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(a,b),product(c,a))),product(c,b)) )],[refute_0_3837,refute_0_3847]) ).

cnf(refute_0_3849,plain,
    ( difference(product(b,a),product(product(a,c),product(b,a))) != product(c,b)
    | quotient(quotient(product(b,a),product(c,a)),product(b,a)) != difference(product(b,a),product(product(a,c),product(b,a)))
    | quotient(quotient(product(b,a),product(c,a)),product(b,a)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(c,a)),product(b,a)),difference(product(b,a),product(product(a,c),product(b,a)))) ),[1],$fot(product(c,b))]]) ).

cnf(refute_0_3850,plain,
    ( quotient(quotient(product(b,a),product(c,a)),product(b,a)) != difference(product(b,a),product(product(a,c),product(b,a)))
    | quotient(quotient(product(b,a),product(c,a)),product(b,a)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(a,c),product(b,a))),product(c,b)) )],[refute_0_3848,refute_0_3849]) ).

cnf(refute_0_3851,plain,
    quotient(quotient(product(b,a),product(c,a)),product(b,a)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(c,a)),product(b,a)),difference(product(b,a),product(product(a,c),product(b,a)))) )],[refute_0_3826,refute_0_3850]) ).

cnf(refute_0_3852,plain,
    ( product(quotient(quotient(product(b,a),product(c,a)),product(b,a)),product(b,a)) != quotient(product(b,a),product(c,a))
    | quotient(quotient(product(b,a),product(c,a)),product(b,a)) != product(c,b)
    | product(product(c,b),product(b,a)) = quotient(product(b,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(product(b,a),product(c,a)),product(b,a)),product(b,a)),quotient(product(b,a),product(c,a))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_3853,plain,
    ( product(quotient(quotient(product(b,a),product(c,a)),product(b,a)),product(b,a)) != quotient(product(b,a),product(c,a))
    | product(product(c,b),product(b,a)) = quotient(product(b,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(c,a)),product(b,a)),product(c,b)) )],[refute_0_3851,refute_0_3852]) ).

cnf(refute_0_3854,plain,
    product(product(c,b),product(b,a)) = quotient(product(b,a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(product(b,a),product(c,a)),product(b,a)),product(b,a)),quotient(product(b,a),product(c,a))) )],[refute_0_3696,refute_0_3853]) ).

cnf(refute_0_3855,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(c,b),product(b,a)) != quotient(product(b,a),product(c,a))
    | product(b,c) = quotient(product(b,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(b,a)),quotient(product(b,a),product(c,a))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_3856,plain,
    ( product(product(c,b),product(b,a)) != quotient(product(b,a),product(c,a))
    | product(b,c) = quotient(product(b,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_3855]) ).

cnf(refute_0_3857,plain,
    product(b,c) = quotient(product(b,a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),quotient(product(b,a),product(c,a))) )],[refute_0_3854,refute_0_3856]) ).

cnf(refute_0_3858,plain,
    ( product(b,c) != quotient(product(b,a),product(c,a))
    | quotient(product(b,a),product(c,a)) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(quotient(product(b,a),product(c,a))))]]) ).

cnf(refute_0_3859,plain,
    quotient(product(b,a),product(c,a)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),quotient(product(b,a),product(c,a))) )],[refute_0_3857,refute_0_3858]) ).

cnf(refute_0_3860,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))
    | quotient(product(b,a),product(c,a)) != product(b,c)
    | bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = product(product(b,a),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))) ),[1,1,1],$fot(product(b,c))]]) ).

cnf(refute_0_3861,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))
    | bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = product(product(b,a),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,a)),product(b,c)) )],[refute_0_3859,refute_0_3860]) ).

cnf(refute_0_3862,plain,
    bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = product(product(b,a),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))) )],[refute_0_3695,refute_0_3861]) ).

cnf(refute_0_3863,plain,
    bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23))]]) ).

cnf(refute_0_3864,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23)
    | quotient(product(b,a),product(c,a)) != product(b,c)
    | bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = bigC(product(b,c),product(c,a),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_3865,plain,
    ( quotient(product(b,a),product(c,a)) != product(b,c)
    | bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = bigC(product(b,c),product(c,a),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23)) )],[refute_0_3863,refute_0_3864]) ).

cnf(refute_0_3866,plain,
    bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) = bigC(product(b,c),product(c,a),X_23),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,a)),product(b,c)) )],[refute_0_3859,refute_0_3865]) ).

cnf(refute_0_3867,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != bigC(product(b,c),product(c,a),X_23)
    | bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != product(product(b,a),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,a),X_23) = product(product(b,a),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),product(product(b,a),product(X_23,product(b,c)))) ),[0],$fot(bigC(product(b,c),product(c,a),X_23))]]) ).

cnf(refute_0_3868,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != product(product(b,a),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,a),X_23) = product(product(b,a),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),bigC(product(b,c),product(c,a),X_23)) )],[refute_0_3866,refute_0_3867]) ).

cnf(refute_0_3869,plain,
    bigC(product(b,c),product(c,a),X_23) = product(product(b,a),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),product(product(b,a),product(X_23,product(b,c)))) )],[refute_0_3862,refute_0_3868]) ).

cnf(refute_0_3870,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))
    | quotient(product(b,a),product(c,a)) != product(b,c)
    | bigC(product(b,c),product(c,a),X_23) = product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_3871,plain,
    ( bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23) != product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))
    | bigC(product(b,c),product(c,a),X_23) = product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,a)),product(b,c)) )],[refute_0_3859,refute_0_3870]) ).

cnf(refute_0_3872,plain,
    bigC(product(b,c),product(c,a),X_23) = product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),product(c,a),X_23),product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))) )],[refute_0_3695,refute_0_3871]) ).

cnf(refute_0_3873,plain,
    bigC(product(b,c),X_22,quotient(c,product(b,c))) = product(product(product(b,c),X_22),c),
    inference(subst,[],[refute_0_356:[bind(A,$fot(c)),bind(X_21,$fot(product(b,c)))]]) ).

cnf(refute_0_3874,plain,
    quotient(bigC(c,a,b),product(b,c)) = product(c,a),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(c)),bind(X_22,$fot(a)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_3875,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),product(b,c)) != product(c,a)
    | quotient(c,product(b,c)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),product(b,c)),product(c,a)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_3876,plain,
    ( quotient(bigC(c,a,b),product(b,c)) != product(c,a)
    | quotient(c,product(b,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_3875]) ).

cnf(refute_0_3877,plain,
    quotient(c,product(b,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(b,c)),product(c,a)) )],[refute_0_3874,refute_0_3876]) ).

cnf(refute_0_3878,plain,
    ( bigC(product(b,c),X_22,quotient(c,product(b,c))) != product(product(product(b,c),X_22),c)
    | quotient(c,product(b,c)) != product(c,a)
    | bigC(product(b,c),X_22,product(c,a)) = product(product(product(b,c),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),X_22,quotient(c,product(b,c))),product(product(product(b,c),X_22),c)) ),[0,2],$fot(product(c,a))]]) ).

cnf(refute_0_3879,plain,
    ( bigC(product(b,c),X_22,quotient(c,product(b,c))) != product(product(product(b,c),X_22),c)
    | bigC(product(b,c),X_22,product(c,a)) = product(product(product(b,c),X_22),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,c)),product(c,a)) )],[refute_0_3877,refute_0_3878]) ).

cnf(refute_0_3880,plain,
    bigC(product(b,c),X_22,product(c,a)) = product(product(product(b,c),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,quotient(c,product(b,c))),product(product(product(b,c),X_22),c)) )],[refute_0_3873,refute_0_3879]) ).

cnf(refute_0_3881,plain,
    bigC(product(b,c),X_23,product(c,a)) = product(product(product(b,c),X_23),c),
    inference(subst,[],[refute_0_3880:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_3882,plain,
    bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)))]]) ).

cnf(refute_0_3883,plain,
    ( bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) != bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a))
    | quotient(product(b,a),product(c,a)) != product(b,c)
    | bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = bigC(product(b,c),X_23,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)),bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_3884,plain,
    ( quotient(product(b,a),product(c,a)) != product(b,c)
    | bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = bigC(product(b,c),X_23,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)),bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a))) )],[refute_0_3882,refute_0_3883]) ).

cnf(refute_0_3885,plain,
    bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = bigC(product(b,c),X_23,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,a)),product(b,c)) )],[refute_0_3859,refute_0_3884]) ).

cnf(refute_0_3886,plain,
    ( bigC(product(b,c),X_23,product(c,a)) != product(product(product(b,c),X_23),c)
    | bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) != bigC(product(b,c),X_23,product(c,a))
    | bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = product(product(product(b,c),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)))),bind(Y,$fot(bigC(product(b,c),X_23,product(c,a)))),bind(Z,$fot(product(product(product(b,c),X_23),c)))]]) ).

cnf(refute_0_3887,plain,
    ( bigC(product(b,c),X_23,product(c,a)) != product(product(product(b,c),X_23),c)
    | bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = product(product(product(b,c),X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)),bigC(product(b,c),X_23,product(c,a))) )],[refute_0_3885,refute_0_3886]) ).

cnf(refute_0_3888,plain,
    bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) = product(product(product(b,c),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_23,product(c,a)),product(product(product(b,c),X_23),c)) )],[refute_0_3881,refute_0_3887]) ).

cnf(refute_0_3889,plain,
    product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) = bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(b,a))),bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_3890,plain,
    ( bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) != product(product(product(b,c),X_23),c)
    | product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) != bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a))
    | product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) = product(product(product(b,c),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))))),bind(Y,$fot(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)))),bind(Z,$fot(product(product(product(b,c),X_23),c)))]]) ).

cnf(refute_0_3891,plain,
    ( bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)) != product(product(product(b,c),X_23),c)
    | product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) = product(product(product(b,c),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))),bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a))) )],[refute_0_3889,refute_0_3890]) ).

cnf(refute_0_3892,plain,
    product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) = product(product(product(b,c),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(b,a),product(c,a)),X_23,product(c,a)),product(product(product(b,c),X_23),c)) )],[refute_0_3888,refute_0_3891]) ).

cnf(refute_0_3893,plain,
    ( bigC(product(b,c),product(c,a),X_23) != product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))
    | product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))) != product(product(product(b,c),X_23),c)
    | bigC(product(b,c),product(c,a),X_23) = product(product(product(b,c),X_23),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),product(c,a),X_23),product(product(product(b,c),X_23),c)) ),[0],$fot(product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))))]]) ).

cnf(refute_0_3894,plain,
    ( bigC(product(b,c),product(c,a),X_23) != product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))
    | bigC(product(b,c),product(c,a),X_23) = product(product(product(b,c),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(X_23,quotient(product(b,a),product(c,a)))),product(product(product(b,c),X_23),c)) )],[refute_0_3892,refute_0_3893]) ).

cnf(refute_0_3895,plain,
    bigC(product(b,c),product(c,a),X_23) = product(product(product(b,c),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),X_23),product(product(b,a),product(X_23,quotient(product(b,a),product(c,a))))) )],[refute_0_3872,refute_0_3894]) ).

cnf(refute_0_3896,plain,
    ( bigC(product(b,c),product(c,a),X_23) != product(product(b,a),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,a),X_23) != product(product(product(b,c),X_23),c)
    | product(product(product(b,c),X_23),c) = product(product(b,a),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(c,a),X_23),product(product(b,a),product(X_23,product(b,c)))) ),[0],$fot(product(product(product(b,c),X_23),c))]]) ).

cnf(refute_0_3897,plain,
    ( bigC(product(b,c),product(c,a),X_23) != product(product(b,a),product(X_23,product(b,c)))
    | product(product(product(b,c),X_23),c) = product(product(b,a),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),X_23),product(product(product(b,c),X_23),c)) )],[refute_0_3895,refute_0_3896]) ).

cnf(refute_0_3898,plain,
    product(product(product(b,c),X_23),c) = product(product(b,a),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,a),X_23),product(product(b,a),product(X_23,product(b,c)))) )],[refute_0_3869,refute_0_3897]) ).

cnf(refute_0_3899,plain,
    ( product(product(product(b,c),X_23),c) != product(product(b,a),product(X_23,product(b,c)))
    | product(product(b,a),product(X_23,product(b,c))) = product(product(product(b,c),X_23),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(product(b,c),X_23),c))),bind(Y,$fot(product(product(b,a),product(X_23,product(b,c)))))]]) ).

cnf(refute_0_3900,plain,
    product(product(b,a),product(X_23,product(b,c))) = product(product(product(b,c),X_23),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_23),c),product(product(b,a),product(X_23,product(b,c)))) )],[refute_0_3898,refute_0_3899]) ).

cnf(refute_0_3901,plain,
    product(product(b,a),product(product(b,a),product(b,c))) = product(product(product(b,c),product(b,a)),c),
    inference(subst,[],[refute_0_3900:[bind(X_23,$fot(product(b,a)))]]) ).

cnf(refute_0_3902,plain,
    ( product(product(b,a),product(product(b,a),product(b,c))) != product(product(product(b,c),product(b,a)),c)
    | product(product(product(b,c),product(b,a)),c) != product(product(product(b,b),product(c,a)),c)
    | product(product(b,a),product(product(b,a),product(b,c))) = product(product(product(b,b),product(c,a)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(product(b,a),product(b,c))))),bind(Y,$fot(product(product(product(b,c),product(b,a)),c))),bind(Z,$fot(product(product(product(b,b),product(c,a)),c)))]]) ).

cnf(refute_0_3903,plain,
    ( product(product(product(b,c),product(b,a)),c) != product(product(product(b,b),product(c,a)),c)
    | product(product(b,a),product(product(b,a),product(b,c))) = product(product(product(b,b),product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(b,c))),product(product(product(b,c),product(b,a)),c)) )],[refute_0_3901,refute_0_3902]) ).

cnf(refute_0_3904,plain,
    product(product(b,a),product(product(b,a),product(b,c))) = product(product(product(b,b),product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(b,a)),c),product(product(product(b,b),product(c,a)),c)) )],[refute_0_3694,refute_0_3903]) ).

cnf(refute_0_3905,plain,
    ( product(product(b,a),product(product(b,a),product(b,c))) != product(product(product(b,b),product(c,a)),c)
    | product(product(product(b,b),product(c,a)),c) != product(product(b,product(c,a)),c)
    | product(product(b,a),product(product(b,a),product(b,c))) = product(product(b,product(c,a)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(product(b,a),product(b,c))))),bind(Y,$fot(product(product(product(b,b),product(c,a)),c))),bind(Z,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_3906,plain,
    ( product(product(product(b,b),product(c,a)),c) != product(product(b,product(c,a)),c)
    | product(product(b,a),product(product(b,a),product(b,c))) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(b,c))),product(product(product(b,b),product(c,a)),c)) )],[refute_0_3904,refute_0_3905]) ).

cnf(refute_0_3907,plain,
    product(product(b,a),product(product(b,a),product(b,c))) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,b),product(c,a)),c),product(product(b,product(c,a)),c)) )],[refute_0_3693,refute_0_3906]) ).

cnf(refute_0_3908,plain,
    ( product(b,product(a,product(a,c))) != product(product(b,a),product(product(b,a),product(b,c)))
    | product(product(b,a),product(product(b,a),product(b,c))) != product(product(b,product(c,a)),c)
    | product(b,product(a,product(a,c))) = product(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(a,product(a,c))),product(product(b,product(c,a)),c)) ),[0],$fot(product(product(b,a),product(product(b,a),product(b,c))))]]) ).

cnf(refute_0_3909,plain,
    ( product(b,product(a,product(a,c))) != product(product(b,a),product(product(b,a),product(b,c)))
    | product(b,product(a,product(a,c))) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(b,c))),product(product(b,product(c,a)),c)) )],[refute_0_3907,refute_0_3908]) ).

cnf(refute_0_3910,plain,
    ( difference(product(product(b,product(c,a)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(b,c)))
    | product(b,product(a,product(a,c))) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(a,c))),product(product(b,a),product(product(b,a),product(b,c)))) )],[refute_0_3689,refute_0_3909]) ).

cnf(refute_0_3911,plain,
    product(b,product(a,product(a,c))) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,a)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(b,c)))) )],[refute_0_3651,refute_0_3910]) ).

cnf(refute_0_3912,plain,
    ( product(b,product(a,product(a,c))) != product(product(b,product(c,a)),c)
    | product(product(b,product(c,a)),c) = product(b,product(a,product(a,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(a,product(a,c))))),bind(Y,$fot(product(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_3913,plain,
    product(product(b,product(c,a)),c) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(a,c))),product(product(b,product(c,a)),c)) )],[refute_0_3911,refute_0_3912]) ).

cnf(refute_0_3914,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(c,product(product(b,product(c,a)),c))
    | product(product(b,product(c,a)),c) != product(b,product(a,product(a,c)))
    | bigC(c,c,product(b,product(c,a))) = product(c,product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(c,product(product(b,product(c,a)),c))) ),[1,1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_3915,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(c,product(product(b,product(c,a)),c))
    | bigC(c,c,product(b,product(c,a))) = product(c,product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),c),product(b,product(a,product(a,c)))) )],[refute_0_3913,refute_0_3914]) ).

cnf(refute_0_3916,plain,
    bigC(c,c,product(b,product(c,a))) = product(c,product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(c,product(product(b,product(c,a)),c))) )],[refute_0_2652,refute_0_3915]) ).

cnf(refute_0_3917,plain,
    bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,c)),product(c,product(b,product(a,c)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(b,product(a,c)))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_3918,plain,
    ( bigC(product(b,product(a,c)),product(b,product(a,c)),c) != product(product(b,product(a,c)),product(c,product(b,product(a,c))))
    | product(c,product(b,product(a,c))) != product(bigC(b,a,b),c)
    | bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,c)),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,product(a,c)),product(b,product(a,c)),c),product(product(b,product(a,c)),product(c,product(b,product(a,c))))) ),[1,1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_3919,plain,
    ( bigC(product(b,product(a,c)),product(b,product(a,c)),c) != product(product(b,product(a,c)),product(c,product(b,product(a,c))))
    | bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,c)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,c))),product(bigC(b,a,b),c)) )],[refute_0_2810,refute_0_3918]) ).

cnf(refute_0_3920,plain,
    bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,c)),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,product(a,c)),product(b,product(a,c)),c),product(product(b,product(a,c)),product(c,product(b,product(a,c))))) )],[refute_0_3917,refute_0_3919]) ).

cnf(refute_0_3921,plain,
    bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),product(bigC(a,a,c),product(b,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(b,c))),bind(X_23,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_3922,plain,
    bigC(product(a,c),product(c,b),c) = product(product(a,c),product(b,product(a,c))),
    inference(subst,[],[refute_0_2709:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_3923,plain,
    bigC(product(a,c),product(a,c),b) = product(product(a,c),product(b,product(a,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(a,c))),bind(X_23,$fot(b))]]) ).

cnf(refute_0_3924,plain,
    ( bigC(product(a,c),product(a,c),b) != product(product(a,c),product(b,product(a,c)))
    | product(product(a,c),product(b,product(a,c))) = bigC(product(a,c),product(a,c),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(a,c),b))),bind(Y,$fot(product(product(a,c),product(b,product(a,c)))))]]) ).

cnf(refute_0_3925,plain,
    product(product(a,c),product(b,product(a,c))) = bigC(product(a,c),product(a,c),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),product(product(a,c),product(b,product(a,c)))) )],[refute_0_3923,refute_0_3924]) ).

cnf(refute_0_3926,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,c),product(b,product(a,c)))
    | product(product(a,c),product(b,product(a,c))) != bigC(product(a,c),product(a,c),b)
    | bigC(product(a,c),product(c,b),c) = bigC(product(a,c),product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),c),bigC(product(a,c),product(a,c),b)) ),[0],$fot(product(product(a,c),product(b,product(a,c))))]]) ).

cnf(refute_0_3927,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,c),product(b,product(a,c)))
    | bigC(product(a,c),product(c,b),c) = bigC(product(a,c),product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(b,product(a,c))),bigC(product(a,c),product(a,c),b)) )],[refute_0_3925,refute_0_3926]) ).

cnf(refute_0_3928,plain,
    bigC(product(a,c),product(c,b),c) = bigC(product(a,c),product(a,c),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,c),product(b,product(a,c)))) )],[refute_0_3922,refute_0_3927]) ).

cnf(refute_0_3929,plain,
    bigC(product(a,c),product(c,b),product(c,B)) = product(product(a,b),product(product(c,B),product(a,c))),
    inference(subst,[],[refute_0_94:[bind(X_23,$fot(product(c,B)))]]) ).

cnf(refute_0_3930,plain,
    bigC(c,B,a) = product(product(c,B),product(a,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(a))]]) ).

cnf(refute_0_3931,plain,
    ( bigC(c,B,a) != product(product(c,B),product(a,c))
    | product(product(c,B),product(a,c)) = bigC(c,B,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,B,a))),bind(Y,$fot(product(product(c,B),product(a,c))))]]) ).

cnf(refute_0_3932,plain,
    product(product(c,B),product(a,c)) = bigC(c,B,a),
    inference(resolve,[$cnf( $equal(bigC(c,B,a),product(product(c,B),product(a,c))) )],[refute_0_3930,refute_0_3931]) ).

cnf(refute_0_3933,plain,
    ( bigC(product(a,c),product(c,b),product(c,B)) != product(product(a,b),product(product(c,B),product(a,c)))
    | product(product(c,B),product(a,c)) != bigC(c,B,a)
    | bigC(product(a,c),product(c,b),product(c,B)) = product(product(a,b),bigC(c,B,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(c,B)),product(product(a,b),product(product(c,B),product(a,c)))) ),[1,1],$fot(bigC(c,B,a))]]) ).

cnf(refute_0_3934,plain,
    ( bigC(product(a,c),product(c,b),product(c,B)) != product(product(a,b),product(product(c,B),product(a,c)))
    | bigC(product(a,c),product(c,b),product(c,B)) = product(product(a,b),bigC(c,B,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(a,c)),bigC(c,B,a)) )],[refute_0_3932,refute_0_3933]) ).

cnf(refute_0_3935,plain,
    bigC(product(a,c),product(c,b),product(c,B)) = product(product(a,b),bigC(c,B,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(c,B)),product(product(a,b),product(product(c,B),product(a,c)))) )],[refute_0_3929,refute_0_3934]) ).

cnf(refute_0_3936,plain,
    bigC(product(a,c),product(c,b),product(c,c)) = product(product(a,b),bigC(c,c,a)),
    inference(subst,[],[refute_0_3935:[bind(B,$fot(c))]]) ).

cnf(refute_0_3937,plain,
    ( bigC(product(a,c),product(c,b),product(c,c)) != product(product(a,b),bigC(c,c,a))
    | product(c,c) != c
    | bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(c,c)),product(product(a,b),bigC(c,c,a))) ),[0,2],$fot(c)]]) ).

cnf(refute_0_3938,plain,
    ( bigC(product(a,c),product(c,b),product(c,c)) != product(product(a,b),bigC(c,c,a))
    | bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_3937]) ).

cnf(refute_0_3939,plain,
    bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(c,c)),product(product(a,b),bigC(c,c,a))) )],[refute_0_3936,refute_0_3938]) ).

cnf(refute_0_3940,plain,
    bigC(product(a,c),product(c,b),c) = bigC(product(a,c),c,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_3941,plain,
    ( bigC(product(a,c),product(c,b),c) != bigC(product(a,c),c,product(c,b))
    | bigC(product(a,c),product(c,b),c) != product(product(a,b),bigC(c,c,a))
    | bigC(product(a,c),c,product(c,b)) = product(product(a,b),bigC(c,c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,b),bigC(c,c,a))) ),[0],$fot(bigC(product(a,c),c,product(c,b)))]]) ).

cnf(refute_0_3942,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,b),bigC(c,c,a))
    | bigC(product(a,c),c,product(c,b)) = product(product(a,b),bigC(c,c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),bigC(product(a,c),c,product(c,b))) )],[refute_0_3940,refute_0_3941]) ).

cnf(refute_0_3943,plain,
    product(product(a,b),bigC(c,c,a)) = product(product(a,b),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(c,c,a)))]]) ).

cnf(refute_0_3944,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(product(a,b),bigC(c,c,a)) != product(product(a,b),bigC(c,c,a))
    | product(product(a,b),bigC(c,c,a)) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,c,a)),product(product(a,b),bigC(c,c,a))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_3945,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(product(a,b),bigC(c,c,a)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,c,a)),product(product(a,b),bigC(c,c,a))) )],[refute_0_3943,refute_0_3944]) ).

cnf(refute_0_3946,plain,
    product(product(a,b),bigC(c,c,a)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_894,refute_0_3945]) ).

cnf(refute_0_3947,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,c,a))
    | product(product(a,b),bigC(c,c,a)) != product(product(a,b),bigC(c,a,c))
    | bigC(product(a,c),c,product(c,b)) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),c,product(c,b)),product(product(a,b),bigC(c,a,c))) ),[0],$fot(product(product(a,b),bigC(c,c,a)))]]) ).

cnf(refute_0_3948,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,c,a))
    | bigC(product(a,c),c,product(c,b)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,c,a)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3946,refute_0_3947]) ).

cnf(refute_0_3949,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,b),bigC(c,c,a))
    | bigC(product(a,c),c,product(c,b)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(c,b)),product(product(a,b),bigC(c,c,a))) )],[refute_0_3942,refute_0_3948]) ).

cnf(refute_0_3950,plain,
    bigC(product(a,c),c,product(c,b)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,b),bigC(c,c,a))) )],[refute_0_3939,refute_0_3949]) ).

cnf(refute_0_3951,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,a,c))
    | bigC(product(a,c),product(c,b),c) != bigC(product(a,c),c,product(c,b))
    | bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(c,b),c))),bind(Y,$fot(bigC(product(a,c),c,product(c,b)))),bind(Z,$fot(product(product(a,b),bigC(c,a,c))))]]) ).

cnf(refute_0_3952,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,a,c))
    | bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),bigC(product(a,c),c,product(c,b))) )],[refute_0_3940,refute_0_3951]) ).

cnf(refute_0_3953,plain,
    bigC(product(a,c),product(c,b),c) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(c,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3950,refute_0_3952]) ).

cnf(refute_0_3954,plain,
    ( bigC(product(a,c),product(c,b),c) != bigC(product(a,c),product(a,c),b)
    | bigC(product(a,c),product(c,b),c) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) = bigC(product(a,c),product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),c),bigC(product(a,c),product(a,c),b)) ),[0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_3955,plain,
    ( bigC(product(a,c),product(c,b),c) != bigC(product(a,c),product(a,c),b)
    | product(product(a,b),bigC(c,a,c)) = bigC(product(a,c),product(a,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,b),bigC(c,a,c))) )],[refute_0_3953,refute_0_3954]) ).

cnf(refute_0_3956,plain,
    product(bigC(a,c,a),product(b,c)) = product(bigC(a,c,a),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(b,c)))]]) ).

cnf(refute_0_3957,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(b,c)) != product(bigC(a,c,a),product(b,c))
    | product(bigC(a,c,a),product(b,c)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(b,c)),product(bigC(a,c,a),product(b,c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_3958,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(b,c)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,c)),product(bigC(a,c,a),product(b,c))) )],[refute_0_3956,refute_0_3957]) ).

cnf(refute_0_3959,plain,
    product(bigC(a,c,a),product(b,c)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_3958]) ).

cnf(refute_0_3960,plain,
    bigC(product(a,c),b,product(a,c)) = product(bigC(a,c,a),product(b,c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_3961,plain,
    bigC(product(a,c),product(a,c),b) = bigC(product(a,c),b,product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_3962,plain,
    ( bigC(product(a,c),b,product(a,c)) != product(bigC(a,c,a),product(b,c))
    | bigC(product(a,c),product(a,c),b) != bigC(product(a,c),b,product(a,c))
    | bigC(product(a,c),product(a,c),b) = product(bigC(a,c,a),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,c),b))),bind(Y,$fot(bigC(product(a,c),b,product(a,c)))),bind(Z,$fot(product(bigC(a,c,a),product(b,c))))]]) ).

cnf(refute_0_3963,plain,
    ( bigC(product(a,c),b,product(a,c)) != product(bigC(a,c,a),product(b,c))
    | bigC(product(a,c),product(a,c),b) = product(bigC(a,c,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),bigC(product(a,c),b,product(a,c))) )],[refute_0_3961,refute_0_3962]) ).

cnf(refute_0_3964,plain,
    bigC(product(a,c),product(a,c),b) = product(bigC(a,c,a),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,product(a,c)),product(bigC(a,c,a),product(b,c))) )],[refute_0_3960,refute_0_3963]) ).

cnf(refute_0_3965,plain,
    ( bigC(product(a,c),product(a,c),b) != product(bigC(a,c,a),product(b,c))
    | product(bigC(a,c,a),product(b,c)) != product(bigC(a,a,c),product(b,c))
    | bigC(product(a,c),product(a,c),b) = product(bigC(a,a,c),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,c),b))),bind(Y,$fot(product(bigC(a,c,a),product(b,c)))),bind(Z,$fot(product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_3966,plain,
    ( product(bigC(a,c,a),product(b,c)) != product(bigC(a,a,c),product(b,c))
    | bigC(product(a,c),product(a,c),b) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),product(bigC(a,c,a),product(b,c))) )],[refute_0_3964,refute_0_3965]) ).

cnf(refute_0_3967,plain,
    bigC(product(a,c),product(a,c),b) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_3959,refute_0_3966]) ).

cnf(refute_0_3968,plain,
    ( bigC(product(a,c),product(a,c),b) != product(bigC(a,a,c),product(b,c))
    | product(product(a,b),bigC(c,a,c)) != bigC(product(a,c),product(a,c),b)
    | product(product(a,b),bigC(c,a,c)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),bigC(product(a,c),product(a,c),b)) ),[1],$fot(product(bigC(a,a,c),product(b,c)))]]) ).

cnf(refute_0_3969,plain,
    ( product(product(a,b),bigC(c,a,c)) != bigC(product(a,c),product(a,c),b)
    | product(product(a,b),bigC(c,a,c)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),product(bigC(a,a,c),product(b,c))) )],[refute_0_3967,refute_0_3968]) ).

cnf(refute_0_3970,plain,
    ( bigC(product(a,c),product(c,b),c) != bigC(product(a,c),product(a,c),b)
    | product(product(a,b),bigC(c,a,c)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),bigC(product(a,c),product(a,c),b)) )],[refute_0_3955,refute_0_3969]) ).

cnf(refute_0_3971,plain,
    product(product(a,b),bigC(c,a,c)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),bigC(product(a,c),product(a,c),b)) )],[refute_0_3928,refute_0_3970]) ).

cnf(refute_0_3972,plain,
    product(product(product(a,c),c),difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,b),bigC(c,a,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(product(product(a,b),bigC(c,a,c))))]]) ).

cnf(refute_0_3973,plain,
    difference(product(product(a,c),c),bigC(product(a,c),c,product(c,b))) = product(product(c,b),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(c)),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_3974,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,a,c))
    | difference(product(product(a,c),c),bigC(product(a,c),c,product(c,b))) != product(product(c,b),product(a,c))
    | difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) = product(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),c),bigC(product(a,c),c,product(c,b))),product(product(c,b),product(a,c))) ),[0,1],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_3975,plain,
    ( difference(product(product(a,c),c),bigC(product(a,c),c,product(c,b))) != product(product(c,b),product(a,c))
    | difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) = product(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(c,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3950,refute_0_3974]) ).

cnf(refute_0_3976,plain,
    difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) = product(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),c),bigC(product(a,c),c,product(c,b))),product(product(c,b),product(a,c))) )],[refute_0_3973,refute_0_3975]) ).

cnf(refute_0_3977,plain,
    ( difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) != product(product(c,b),product(a,c))
    | product(product(c,b),product(a,c)) != bigC(c,a,b)
    | difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))),bigC(c,a,b)) ),[0],$fot(product(product(c,b),product(a,c)))]]) ).

cnf(refute_0_3978,plain,
    ( difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) != product(product(c,b),product(a,c))
    | difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_467,refute_0_3977]) ).

cnf(refute_0_3979,plain,
    difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))),product(product(c,b),product(a,c))) )],[refute_0_3976,refute_0_3978]) ).

cnf(refute_0_3980,plain,
    ( difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))) != bigC(c,a,b)
    | product(product(product(a,c),c),difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(a,b),bigC(c,a,c))
    | product(product(product(a,c),c),bigC(c,a,b)) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(a,b),bigC(c,a,c))) ),[0,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_3981,plain,
    ( product(product(product(a,c),c),difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(a,b),bigC(c,a,c))
    | product(product(product(a,c),c),bigC(c,a,b)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c))),bigC(c,a,b)) )],[refute_0_3979,refute_0_3980]) ).

cnf(refute_0_3982,plain,
    product(product(product(a,c),c),bigC(c,a,b)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),difference(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(a,b),bigC(c,a,c))) )],[refute_0_3972,refute_0_3981]) ).

cnf(refute_0_3983,plain,
    product(product(product(a,c),c),bigC(c,a,b)) = product(product(product(a,c),c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),bigC(c,a,b)))]]) ).

cnf(refute_0_3984,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),bigC(c,a,b)) != product(product(product(a,c),c),bigC(c,a,b))
    | product(product(product(a,c),c),bigC(c,a,b)) = product(product(a,product(b,c)),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(product(a,c),c),bigC(c,a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_3985,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),bigC(c,a,b)) = product(product(a,product(b,c)),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(product(a,c),c),bigC(c,a,b))) )],[refute_0_3983,refute_0_3984]) ).

cnf(refute_0_3986,plain,
    product(product(product(a,c),c),bigC(c,a,b)) = product(product(a,product(b,c)),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_3985]) ).

cnf(refute_0_3987,plain,
    ( product(product(product(a,c),c),bigC(c,a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(product(a,c),c),bigC(c,a,b)) != product(product(a,product(b,c)),bigC(c,a,b))
    | product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(a,b),bigC(c,a,c))) ),[0],$fot(product(product(a,product(b,c)),bigC(c,a,b)))]]) ).

cnf(refute_0_3988,plain,
    ( product(product(product(a,c),c),bigC(c,a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(a,product(b,c)),bigC(c,a,b))) )],[refute_0_3986,refute_0_3987]) ).

cnf(refute_0_3989,plain,
    product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3982,refute_0_3988]) ).

cnf(refute_0_3990,plain,
    product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,product(b,c)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),bigC(c,a,b)))]]) ).

cnf(refute_0_3991,plain,
    ( bigC(c,a,b) != c
    | product(product(a,product(b,c)),bigC(c,a,b)) != product(product(a,product(b,c)),bigC(c,a,b))
    | product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,a,b)),product(product(a,product(b,c)),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_3992,plain,
    ( bigC(c,a,b) != c
    | product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,a,b)),product(product(a,product(b,c)),bigC(c,a,b))) )],[refute_0_3990,refute_0_3991]) ).

cnf(refute_0_3993,plain,
    product(product(a,product(b,c)),bigC(c,a,b)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_3992]) ).

cnf(refute_0_3994,plain,
    ( product(product(a,product(b,c)),bigC(c,a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,product(b,c)),bigC(c,a,b)) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),c) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,a,b)),product(product(a,b),bigC(c,a,c))) ),[0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_3995,plain,
    ( product(product(a,product(b,c)),bigC(c,a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,product(b,c)),c) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,a,b)),product(product(a,product(b,c)),c)) )],[refute_0_3993,refute_0_3994]) ).

cnf(refute_0_3996,plain,
    product(product(a,product(b,c)),c) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,a,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3989,refute_0_3995]) ).

cnf(refute_0_3997,plain,
    ( product(product(a,product(b,c)),c) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) = product(product(a,product(b,c)),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,product(b,c)),c))),bind(Y,$fot(product(product(a,b),bigC(c,a,c))))]]) ).

cnf(refute_0_3998,plain,
    product(product(a,b),bigC(c,a,c)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(c,a,c))) )],[refute_0_3996,refute_0_3997]) ).

cnf(refute_0_3999,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(bigC(a,a,c),product(b,c))
    | product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),c) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(bigC(a,a,c),product(b,c))) ),[0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_4000,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(bigC(a,a,c),product(b,c))
    | product(product(a,product(b,c)),c) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_3999]) ).

cnf(refute_0_4001,plain,
    product(product(a,product(b,c)),c) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_3971,refute_0_4000]) ).

cnf(refute_0_4002,plain,
    product(product(a,b),bigC(c,a,c)) = product(product(a,b),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_4003,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(a,b),bigC(c,a,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) = product(product(a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,b),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4004,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(a,b),bigC(c,a,c)) = product(product(a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,b),bigC(c,a,c))) )],[refute_0_4002,refute_0_4003]) ).

cnf(refute_0_4005,plain,
    product(product(a,b),bigC(c,a,c)) = product(product(a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_4004]) ).

cnf(refute_0_4006,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,b),bigC(a,a,b))
    | product(product(a,product(b,c)),c) != product(product(a,b),bigC(c,a,c))
    | product(product(a,product(b,c)),c) = product(product(a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(c,a,c))) ),[1],$fot(product(product(a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_4007,plain,
    ( product(product(a,product(b,c)),c) != product(product(a,b),bigC(c,a,c))
    | product(product(a,product(b,c)),c) = product(product(a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,b),bigC(a,a,b))) )],[refute_0_4005,refute_0_4006]) ).

cnf(refute_0_4008,plain,
    product(product(a,product(b,c)),c) = product(product(a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(c,a,c))) )],[refute_0_3996,refute_0_4007]) ).

cnf(refute_0_4009,plain,
    bigC(X_21,X_22,quotient(bigC(X_21,X_21,X_86),X_21)) = product(product(X_21,X_22),bigC(X_21,X_21,X_86)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(X_21,X_21,X_86)))]]) ).

cnf(refute_0_4010,plain,
    quotient(bigC(X_21,X_21,X_86),X_21) = product(X_21,X_86),
    inference(subst,[],[refute_0_738:[bind(X_79,$fot(X_21)),bind(X_80,$fot(X_86))]]) ).

cnf(refute_0_4011,plain,
    ( bigC(X_21,X_22,quotient(bigC(X_21,X_21,X_86),X_21)) != product(product(X_21,X_22),bigC(X_21,X_21,X_86))
    | quotient(bigC(X_21,X_21,X_86),X_21) != product(X_21,X_86)
    | bigC(X_21,X_22,product(X_21,X_86)) = product(product(X_21,X_22),bigC(X_21,X_21,X_86)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,X_22,quotient(bigC(X_21,X_21,X_86),X_21)),product(product(X_21,X_22),bigC(X_21,X_21,X_86))) ),[0,2],$fot(product(X_21,X_86))]]) ).

cnf(refute_0_4012,plain,
    ( bigC(X_21,X_22,quotient(bigC(X_21,X_21,X_86),X_21)) != product(product(X_21,X_22),bigC(X_21,X_21,X_86))
    | bigC(X_21,X_22,product(X_21,X_86)) = product(product(X_21,X_22),bigC(X_21,X_21,X_86)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_21,X_21,X_86),X_21),product(X_21,X_86)) )],[refute_0_4010,refute_0_4011]) ).

cnf(refute_0_4013,plain,
    bigC(X_21,X_22,product(X_21,X_86)) = product(product(X_21,X_22),bigC(X_21,X_21,X_86)),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,quotient(bigC(X_21,X_21,X_86),X_21)),product(product(X_21,X_22),bigC(X_21,X_21,X_86))) )],[refute_0_4009,refute_0_4012]) ).

cnf(refute_0_4014,plain,
    ( bigC(X_21,X_22,product(X_21,X_86)) != product(product(X_21,X_22),bigC(X_21,X_21,X_86))
    | product(product(X_21,X_22),bigC(X_21,X_21,X_86)) = bigC(X_21,X_22,product(X_21,X_86)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_21,X_22,product(X_21,X_86)))),bind(Y,$fot(product(product(X_21,X_22),bigC(X_21,X_21,X_86))))]]) ).

cnf(refute_0_4015,plain,
    product(product(X_21,X_22),bigC(X_21,X_21,X_86)) = bigC(X_21,X_22,product(X_21,X_86)),
    inference(resolve,[$cnf( $equal(bigC(X_21,X_22,product(X_21,X_86)),product(product(X_21,X_22),bigC(X_21,X_21,X_86))) )],[refute_0_4013,refute_0_4014]) ).

cnf(refute_0_4016,plain,
    product(product(a,b),bigC(a,a,b)) = bigC(a,b,product(a,b)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_86,$fot(b))]]) ).

cnf(refute_0_4017,plain,
    ( product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(product(a,product(b,c)),c) != product(product(a,b),bigC(a,a,b))
    | product(product(a,product(b,c)),c) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(a,a,b))) ),[1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_4018,plain,
    ( product(product(a,product(b,c)),c) != product(product(a,b),bigC(a,a,b))
    | product(product(a,product(b,c)),c) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,b)),bigC(a,b,product(a,b))) )],[refute_0_4016,refute_0_4017]) ).

cnf(refute_0_4019,plain,
    product(product(a,product(b,c)),c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(a,b),bigC(a,a,b))) )],[refute_0_4008,refute_0_4018]) ).

cnf(refute_0_4020,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(a,product(b,c)),c) != product(bigC(a,a,c),product(b,c))
    | bigC(a,b,product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),c),product(bigC(a,a,c),product(b,c))) ),[0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_4021,plain,
    ( product(product(a,product(b,c)),c) != product(bigC(a,a,c),product(b,c))
    | bigC(a,b,product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_4020]) ).

cnf(refute_0_4022,plain,
    bigC(a,b,product(a,b)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(bigC(a,a,c),product(b,c))) )],[refute_0_4001,refute_0_4021]) ).

cnf(refute_0_4023,plain,
    ( bigC(a,b,product(a,b)) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,c),product(b,c)) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(a,b)))),bind(Y,$fot(product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_4024,plain,
    product(bigC(a,a,c),product(b,c)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,b)),product(bigC(a,a,c),product(b,c))) )],[refute_0_4022,refute_0_4023]) ).

cnf(refute_0_4025,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(bigC(a,a,c),product(b,c)))
    | product(bigC(a,a,c),product(b,c)) != bigC(a,b,product(a,b))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),product(bigC(a,a,c),product(b,c)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_4026,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(bigC(a,a,c),product(b,c)))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),bigC(a,b,product(a,b))) )],[refute_0_4024,refute_0_4025]) ).

cnf(refute_0_4027,plain,
    bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),product(bigC(a,a,c),product(b,c)))) )],[refute_0_3921,refute_0_4026]) ).

cnf(refute_0_4028,plain,
    ( product(product(a,product(b,c)),c) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,c),product(b,c)) = product(product(a,product(b,c)),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,product(b,c)),c))),bind(Y,$fot(product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_4029,plain,
    product(bigC(a,a,c),product(b,c)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(bigC(a,a,c),product(b,c))) )],[refute_0_4001,refute_0_4028]) ).

cnf(refute_0_4030,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(bigC(a,a,c),product(b,c)))
    | product(bigC(a,a,c),product(b,c)) != product(product(a,product(b,c)),c)
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),product(bigC(a,a,c),product(b,c)))) ),[1,1],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_4031,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(bigC(a,a,c),product(b,c)))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),product(product(a,product(b,c)),c)) )],[refute_0_4029,refute_0_4030]) ).

cnf(refute_0_4032,plain,
    bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,c),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),product(bigC(a,a,c),product(b,c)))) )],[refute_0_3921,refute_0_4031]) ).

cnf(refute_0_4033,plain,
    product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(a,a,c)),bigC(c,c,b)))]]) ).

cnf(refute_0_4034,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,bigC(a,a,c)),bigC(c,c,b))
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,bigC(a,a,c)),bigC(c,c,b))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_4035,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,bigC(a,a,c)),bigC(c,c,b))) )],[refute_0_4033,refute_0_4034]) ).

cnf(refute_0_4036,plain,
    product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_4035]) ).

cnf(refute_0_4037,plain,
    bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,bigC(a,a,c)),bigC(c,c,b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(c))]]) ).

cnf(refute_0_4038,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,bigC(a,a,c)),bigC(c,c,b))
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,bigC(a,a,c)),bigC(c,b,c))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),product(b,c),bigC(a,a,c)))),bind(Y,$fot(product(product(b,bigC(a,a,c)),bigC(c,c,b)))),bind(Z,$fot(product(product(b,bigC(a,a,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_4039,plain,
    ( product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,bigC(a,a,c)),bigC(c,b,c))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,bigC(a,a,c)),bigC(c,c,b))) )],[refute_0_4037,refute_0_4038]) ).

cnf(refute_0_4040,plain,
    bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,bigC(a,a,c)),bigC(c,b,c))) )],[refute_0_4036,refute_0_4039]) ).

cnf(refute_0_4041,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,bigC(a,a,c)),bigC(c,b,c))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(product(a,product(b,c)),c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,c),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),product(product(a,product(b,c)),c))) ),[0],$fot(product(product(b,bigC(a,a,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_4042,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(product(a,product(b,c)),c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,c),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,bigC(a,a,c)),bigC(c,b,c))) )],[refute_0_4040,refute_0_4041]) ).

cnf(refute_0_4043,plain,
    product(product(b,c),product(product(a,product(b,c)),c)) = product(product(b,product(a,product(b,c))),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(b)),bind(X_64,$fot(product(a,product(b,c)))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_4044,plain,
    ( product(product(b,bigC(a,a,c)),bigC(c,b,c)) != product(product(b,c),product(product(a,product(b,c)),c))
    | product(product(b,c),product(product(a,product(b,c)),c)) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,product(a,product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,product(a,product(b,c))),c)) ),[0],$fot(product(product(b,c),product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_4045,plain,
    ( product(product(b,bigC(a,a,c)),bigC(c,b,c)) != product(product(b,c),product(product(a,product(b,c)),c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(a,product(b,c)),c)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4043,refute_0_4044]) ).

cnf(refute_0_4046,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),product(product(a,product(b,c)),c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,c),product(product(a,product(b,c)),c))) )],[refute_0_4042,refute_0_4045]) ).

cnf(refute_0_4047,plain,
    product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),product(product(a,product(b,c)),c))) )],[refute_0_4032,refute_0_4046]) ).

cnf(refute_0_4048,plain,
    bigC(b,bigC(a,a,c),product(b,a)) = bigC(b,product(b,a),bigC(a,a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(product(b,a))),bind(C,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_4049,plain,
    product(product(b,bigC(a,a,c)),bigC(b,a,b)) = bigC(b,bigC(a,a,c),product(b,a)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(b)),bind(X_22,$fot(bigC(a,a,c))),bind(X_80,$fot(a))]]) ).

cnf(refute_0_4050,plain,
    ( bigC(b,bigC(a,a,c),product(b,a)) != bigC(b,product(b,a),bigC(a,a,c))
    | product(product(b,bigC(a,a,c)),bigC(b,a,b)) != bigC(b,bigC(a,a,c),product(b,a))
    | product(product(b,bigC(a,a,c)),bigC(b,a,b)) = bigC(b,product(b,a),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(a,a,c)),bigC(b,a,b)))),bind(Y,$fot(bigC(b,bigC(a,a,c),product(b,a)))),bind(Z,$fot(bigC(b,product(b,a),bigC(a,a,c))))]]) ).

cnf(refute_0_4051,plain,
    ( bigC(b,bigC(a,a,c),product(b,a)) != bigC(b,product(b,a),bigC(a,a,c))
    | product(product(b,bigC(a,a,c)),bigC(b,a,b)) = bigC(b,product(b,a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(b,a,b)),bigC(b,bigC(a,a,c),product(b,a))) )],[refute_0_4049,refute_0_4050]) ).

cnf(refute_0_4052,plain,
    product(product(b,bigC(a,a,c)),bigC(b,a,b)) = bigC(b,product(b,a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(a,a,c),product(b,a)),bigC(b,product(b,a),bigC(a,a,c))) )],[refute_0_4048,refute_0_4051]) ).

cnf(refute_0_4053,plain,
    product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,bigC(a,a,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(a,a,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_4054,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) != product(product(b,bigC(a,a,c)),bigC(c,b,c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,bigC(a,a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,bigC(a,a,c)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4055,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,bigC(a,a,c)),bigC(c,b,c))) )],[refute_0_4053,refute_0_4054]) ).

cnf(refute_0_4056,plain,
    product(product(b,bigC(a,a,c)),bigC(c,b,c)) = product(product(b,bigC(a,a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_4055]) ).

cnf(refute_0_4057,plain,
    ( product(product(b,bigC(a,a,c)),bigC(b,a,b)) != bigC(b,product(b,a),bigC(a,a,c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) != product(product(b,bigC(a,a,c)),bigC(b,a,b))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = bigC(b,product(b,a),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(a,a,c)),bigC(c,b,c)))),bind(Y,$fot(product(product(b,bigC(a,a,c)),bigC(b,a,b)))),bind(Z,$fot(bigC(b,product(b,a),bigC(a,a,c))))]]) ).

cnf(refute_0_4058,plain,
    ( product(product(b,bigC(a,a,c)),bigC(b,a,b)) != bigC(b,product(b,a),bigC(a,a,c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) = bigC(b,product(b,a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_4056,refute_0_4057]) ).

cnf(refute_0_4059,plain,
    product(product(b,bigC(a,a,c)),bigC(c,b,c)) = bigC(b,product(b,a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(b,a,b)),bigC(b,product(b,a),bigC(a,a,c))) )],[refute_0_4052,refute_0_4058]) ).

cnf(refute_0_4060,plain,
    ( product(product(b,bigC(a,a,c)),bigC(c,b,c)) != bigC(b,product(b,a),bigC(a,a,c))
    | product(product(b,bigC(a,a,c)),bigC(c,b,c)) != product(product(b,product(a,product(b,c))),c)
    | bigC(b,product(b,a),bigC(a,a,c)) = product(product(b,product(a,product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,product(a,product(b,c))),c)) ),[0],$fot(bigC(b,product(b,a),bigC(a,a,c)))]]) ).

cnf(refute_0_4061,plain,
    ( product(product(b,bigC(a,a,c)),bigC(c,b,c)) != product(product(b,product(a,product(b,c))),c)
    | bigC(b,product(b,a),bigC(a,a,c)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),bigC(b,product(b,a),bigC(a,a,c))) )],[refute_0_4059,refute_0_4060]) ).

cnf(refute_0_4062,plain,
    bigC(b,product(b,a),bigC(a,a,c)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,b,c)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4047,refute_0_4061]) ).

cnf(refute_0_4063,plain,
    ( bigC(b,bigC(a,a,c),product(b,a)) != bigC(b,product(b,a),bigC(a,a,c))
    | bigC(b,product(b,a),bigC(a,a,c)) != product(product(b,product(a,product(b,c))),c)
    | bigC(b,bigC(a,a,c),product(b,a)) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,bigC(a,a,c),product(b,a)))),bind(Y,$fot(bigC(b,product(b,a),bigC(a,a,c)))),bind(Z,$fot(product(product(b,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_4064,plain,
    ( bigC(b,product(b,a),bigC(a,a,c)) != product(product(b,product(a,product(b,c))),c)
    | bigC(b,bigC(a,a,c),product(b,a)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(a,a,c),product(b,a)),bigC(b,product(b,a),bigC(a,a,c))) )],[refute_0_4048,refute_0_4063]) ).

cnf(refute_0_4065,plain,
    bigC(b,bigC(a,a,c),product(b,a)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,a),bigC(a,a,c)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4062,refute_0_4064]) ).

cnf(refute_0_4066,plain,
    ( bigC(b,bigC(a,a,c),product(b,a)) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,bigC(a,a,c)),bigC(b,a,b)) != bigC(b,bigC(a,a,c),product(b,a))
    | product(product(b,bigC(a,a,c)),bigC(b,a,b)) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(a,a,c)),bigC(b,a,b)))),bind(Y,$fot(bigC(b,bigC(a,a,c),product(b,a)))),bind(Z,$fot(product(product(b,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_4067,plain,
    ( bigC(b,bigC(a,a,c),product(b,a)) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,bigC(a,a,c)),bigC(b,a,b)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(b,a,b)),bigC(b,bigC(a,a,c),product(b,a))) )],[refute_0_4049,refute_0_4066]) ).

cnf(refute_0_4068,plain,
    product(product(b,bigC(a,a,c)),bigC(b,a,b)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(a,a,c),product(b,a)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4065,refute_0_4067]) ).

cnf(refute_0_4069,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,bigC(a,a,c)),bigC(c,c,b))
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,bigC(a,a,c)),bigC(c,c,b))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4070,plain,
    ( bigC(c,c,b) != bigC(b,a,b)
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,bigC(a,a,c)),bigC(c,c,b))) )],[refute_0_4033,refute_0_4069]) ).

cnf(refute_0_4071,plain,
    product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,bigC(a,a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(b,a,b)) )],[refute_0_633,refute_0_4070]) ).

cnf(refute_0_4072,plain,
    ( product(product(b,bigC(a,a,c)),bigC(b,a,b)) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,bigC(a,a,c)),bigC(b,a,b))
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(a,a,c)),bigC(c,c,b)))),bind(Y,$fot(product(product(b,bigC(a,a,c)),bigC(b,a,b)))),bind(Z,$fot(product(product(b,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_4073,plain,
    ( product(product(b,bigC(a,a,c)),bigC(b,a,b)) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,bigC(a,a,c)),bigC(b,a,b))) )],[refute_0_4071,refute_0_4072]) ).

cnf(refute_0_4074,plain,
    product(product(b,bigC(a,a,c)),bigC(c,c,b)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(b,a,b)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4068,refute_0_4073]) ).

cnf(refute_0_4075,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,bigC(a,a,c)),bigC(c,c,b))
    | product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,product(a,product(b,c))),c)
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),product(b,c),bigC(a,a,c)))),bind(Y,$fot(product(product(b,bigC(a,a,c)),bigC(c,c,b)))),bind(Z,$fot(product(product(b,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_4076,plain,
    ( product(product(b,bigC(a,a,c)),bigC(c,c,b)) != product(product(b,product(a,product(b,c))),c)
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,bigC(a,a,c)),bigC(c,c,b))) )],[refute_0_4037,refute_0_4075]) ).

cnf(refute_0_4077,plain,
    bigC(product(b,c),product(b,c),bigC(a,a,c)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,a,c)),bigC(c,c,b)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4074,refute_0_4076]) ).

cnf(refute_0_4078,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),bigC(a,b,product(a,b)))
    | bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,product(a,product(b,c))),c) = product(product(b,c),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(b,product(a,product(b,c))),c))]]) ).

cnf(refute_0_4079,plain,
    ( bigC(product(b,c),product(b,c),bigC(a,a,c)) != product(product(b,c),bigC(a,b,product(a,b)))
    | product(product(b,product(a,product(b,c))),c) = product(product(b,c),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4077,refute_0_4078]) ).

cnf(refute_0_4080,plain,
    product(product(b,product(a,product(b,c))),c) = product(product(b,c),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(b,c),bigC(a,a,c)),product(product(b,c),bigC(a,b,product(a,b)))) )],[refute_0_4027,refute_0_4079]) ).

cnf(refute_0_4081,plain,
    ( product(product(b,product(a,product(b,c))),c) != product(product(b,c),bigC(a,b,product(a,b)))
    | product(product(b,c),bigC(a,b,product(a,b))) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(b,product(a,product(b,c))),c))),bind(Y,$fot(product(product(b,c),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_4082,plain,
    product(product(b,c),bigC(a,b,product(a,b))) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(product(b,c),bigC(a,b,product(a,b)))) )],[refute_0_4080,refute_0_4081]) ).

cnf(refute_0_4083,plain,
    ( product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(product(a,b),bigC(c,a,c)) != product(product(a,b),bigC(a,a,b))
    | product(product(a,b),bigC(c,a,c)) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),bigC(c,a,c)))),bind(Y,$fot(product(product(a,b),bigC(a,a,b)))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_4084,plain,
    ( product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(product(a,b),bigC(c,a,c)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,b),bigC(a,a,b))) )],[refute_0_4005,refute_0_4083]) ).

cnf(refute_0_4085,plain,
    product(product(a,b),bigC(c,a,c)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,b)),bigC(a,b,product(a,b))) )],[refute_0_4016,refute_0_4084]) ).

cnf(refute_0_4086,plain,
    bigC(product(a,c),product(a,c),b) = product(product(a,b),bigC(c,c,a)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_4087,plain,
    ( bigC(product(a,c),product(a,c),b) != product(product(a,b),bigC(c,c,a))
    | product(product(a,b),bigC(c,c,a)) != product(product(a,b),bigC(c,a,c))
    | bigC(product(a,c),product(a,c),b) = product(product(a,b),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,c),b))),bind(Y,$fot(product(product(a,b),bigC(c,c,a)))),bind(Z,$fot(product(product(a,b),bigC(c,a,c))))]]) ).

cnf(refute_0_4088,plain,
    ( product(product(a,b),bigC(c,c,a)) != product(product(a,b),bigC(c,a,c))
    | bigC(product(a,c),product(a,c),b) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),product(product(a,b),bigC(c,c,a))) )],[refute_0_4086,refute_0_4087]) ).

cnf(refute_0_4089,plain,
    bigC(product(a,c),product(a,c),b) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,c,a)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3946,refute_0_4088]) ).

cnf(refute_0_4090,plain,
    ( bigC(product(a,c),product(a,c),b) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) != bigC(a,b,product(a,b))
    | bigC(product(a,c),product(a,c),b) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,c),b))),bind(Y,$fot(product(product(a,b),bigC(c,a,c)))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_4091,plain,
    ( product(product(a,b),bigC(c,a,c)) != bigC(a,b,product(a,b))
    | bigC(product(a,c),product(a,c),b) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),product(product(a,b),bigC(c,a,c))) )],[refute_0_4089,refute_0_4090]) ).

cnf(refute_0_4092,plain,
    bigC(product(a,c),product(a,c),b) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),bigC(a,b,product(a,b))) )],[refute_0_4085,refute_0_4091]) ).

cnf(refute_0_4093,plain,
    product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,c),bigC(product(a,c),product(a,c),b)),
    introduced(tautology,[refl,[$fot(product(product(b,c),bigC(product(a,c),product(a,c),b)))]]) ).

cnf(refute_0_4094,plain,
    ( bigC(product(a,c),product(a,c),b) != bigC(a,b,product(a,b))
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) != product(product(b,c),bigC(product(a,c),product(a,c),b))
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,c),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(product(a,c),product(a,c),b)),product(product(b,c),bigC(product(a,c),product(a,c),b))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_4095,plain,
    ( bigC(product(a,c),product(a,c),b) != bigC(a,b,product(a,b))
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,c),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(product(a,c),product(a,c),b)),product(product(b,c),bigC(product(a,c),product(a,c),b))) )],[refute_0_4093,refute_0_4094]) ).

cnf(refute_0_4096,plain,
    product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,c),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),b),bigC(a,b,product(a,b))) )],[refute_0_4092,refute_0_4095]) ).

cnf(refute_0_4097,plain,
    ( product(product(b,c),bigC(a,b,product(a,b))) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) != product(product(b,c),bigC(a,b,product(a,b)))
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),bigC(product(a,c),product(a,c),b)))),bind(Y,$fot(product(product(b,c),bigC(a,b,product(a,b))))),bind(Z,$fot(product(product(b,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_4098,plain,
    ( product(product(b,c),bigC(a,b,product(a,b))) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(product(a,c),product(a,c),b)),product(product(b,c),bigC(a,b,product(a,b)))) )],[refute_0_4096,refute_0_4097]) ).

cnf(refute_0_4099,plain,
    product(product(b,c),bigC(product(a,c),product(a,c),b)) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,b,product(a,b))),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4082,refute_0_4098]) ).

cnf(refute_0_4100,plain,
    bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,c),bigC(product(a,c),product(a,c),b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_4101,plain,
    ( bigC(product(b,product(a,c)),product(b,product(a,c)),c) != product(product(b,c),bigC(product(a,c),product(a,c),b))
    | product(product(b,c),bigC(product(a,c),product(a,c),b)) != product(product(b,product(a,product(b,c))),c)
    | bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,product(a,c)),product(b,product(a,c)),c))),bind(Y,$fot(product(product(b,c),bigC(product(a,c),product(a,c),b)))),bind(Z,$fot(product(product(b,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_4102,plain,
    ( product(product(b,c),bigC(product(a,c),product(a,c),b)) != product(product(b,product(a,product(b,c))),c)
    | bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,product(a,c)),product(b,product(a,c)),c),product(product(b,c),bigC(product(a,c),product(a,c),b))) )],[refute_0_4100,refute_0_4101]) ).

cnf(refute_0_4103,plain,
    bigC(product(b,product(a,c)),product(b,product(a,c)),c) = product(product(b,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(product(a,c),product(a,c),b)),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4099,refute_0_4102]) ).

cnf(refute_0_4104,plain,
    ( bigC(product(b,product(a,c)),product(b,product(a,c)),c) != product(product(b,product(a,c)),product(bigC(b,a,b),c))
    | bigC(product(b,product(a,c)),product(b,product(a,c)),c) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,product(a,product(b,c))),c) = product(product(b,product(a,c)),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,product(a,c)),product(b,product(a,c)),c),product(product(b,product(a,c)),product(bigC(b,a,b),c))) ),[0],$fot(product(product(b,product(a,product(b,c))),c))]]) ).

cnf(refute_0_4105,plain,
    ( bigC(product(b,product(a,c)),product(b,product(a,c)),c) != product(product(b,product(a,c)),product(bigC(b,a,b),c))
    | product(product(b,product(a,product(b,c))),c) = product(product(b,product(a,c)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,product(a,c)),product(b,product(a,c)),c),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4103,refute_0_4104]) ).

cnf(refute_0_4106,plain,
    product(product(b,product(a,product(b,c))),c) = product(product(b,product(a,c)),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,product(a,c)),product(b,product(a,c)),c),product(product(b,product(a,c)),product(bigC(b,a,b),c))) )],[refute_0_3920,refute_0_4105]) ).

cnf(refute_0_4107,plain,
    bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(product(c,product(b,a)),product(c,product(c,product(b,a)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(c,product(b,a)))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_4108,plain,
    ( bigC(product(c,product(b,a)),product(c,product(b,a)),c) != product(product(c,product(b,a)),product(c,product(c,product(b,a))))
    | product(c,product(c,product(b,a))) != bigC(product(c,a),b,c)
    | bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(product(c,product(b,a)),bigC(product(c,a),b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(b,a)),product(c,product(b,a)),c),product(product(c,product(b,a)),product(c,product(c,product(b,a))))) ),[1,1],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_4109,plain,
    ( bigC(product(c,product(b,a)),product(c,product(b,a)),c) != product(product(c,product(b,a)),product(c,product(c,product(b,a))))
    | bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(product(c,product(b,a)),bigC(product(c,a),b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(b,a))),bigC(product(c,a),b,c)) )],[refute_0_1523,refute_0_4108]) ).

cnf(refute_0_4110,plain,
    bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(product(c,product(b,a)),bigC(product(c,a),b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(b,a)),product(c,product(b,a)),c),product(product(c,product(b,a)),product(c,product(c,product(b,a))))) )],[refute_0_4107,refute_0_4109]) ).

cnf(refute_0_4111,plain,
    bigC(product(b,a),product(b,a),c) = product(product(b,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(a))]]) ).

cnf(refute_0_4112,plain,
    product(c,bigC(product(b,a),product(b,a),c)) = product(c,bigC(product(b,a),product(b,a),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(product(b,a),product(b,a),c)))]]) ).

cnf(refute_0_4113,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,c),bigC(a,a,b))
    | product(c,bigC(product(b,a),product(b,a),c)) != product(c,bigC(product(b,a),product(b,a),c))
    | product(c,bigC(product(b,a),product(b,a),c)) = product(c,product(product(b,c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(product(b,a),product(b,a),c)),product(c,bigC(product(b,a),product(b,a),c))) ),[1,1],$fot(product(product(b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_4114,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,c),bigC(a,a,b))
    | product(c,bigC(product(b,a),product(b,a),c)) = product(c,product(product(b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(b,a),product(b,a),c)),product(c,bigC(product(b,a),product(b,a),c))) )],[refute_0_4112,refute_0_4113]) ).

cnf(refute_0_4115,plain,
    product(c,bigC(product(b,a),product(b,a),c)) = product(c,product(product(b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),c),product(product(b,c),bigC(a,a,b))) )],[refute_0_4111,refute_0_4114]) ).

cnf(refute_0_4116,plain,
    product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(product(c,c),bigC(product(b,a),product(b,a),c)),
    introduced(tautology,[refl,[$fot(product(product(c,c),bigC(product(b,a),product(b,a),c)))]]) ).

cnf(refute_0_4117,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) != product(product(c,c),bigC(product(b,a),product(b,a),c))
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(c,bigC(product(b,a),product(b,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),bigC(product(b,a),product(b,a),c)),product(product(c,c),bigC(product(b,a),product(b,a),c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4118,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(c,bigC(product(b,a),product(b,a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(product(b,a),product(b,a),c)),product(product(c,c),bigC(product(b,a),product(b,a),c))) )],[refute_0_4116,refute_0_4117]) ).

cnf(refute_0_4119,plain,
    product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(c,bigC(product(b,a),product(b,a),c)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_4118]) ).

cnf(refute_0_4120,plain,
    ( product(c,bigC(product(b,a),product(b,a),c)) != product(c,product(product(b,c),bigC(a,a,b)))
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) != product(c,bigC(product(b,a),product(b,a),c))
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(c,product(product(b,c),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),bigC(product(b,a),product(b,a),c)))),bind(Y,$fot(product(c,bigC(product(b,a),product(b,a),c)))),bind(Z,$fot(product(c,product(product(b,c),bigC(a,a,b)))))]]) ).

cnf(refute_0_4121,plain,
    ( product(c,bigC(product(b,a),product(b,a),c)) != product(c,product(product(b,c),bigC(a,a,b)))
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(c,product(product(b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(product(b,a),product(b,a),c)),product(c,bigC(product(b,a),product(b,a),c))) )],[refute_0_4119,refute_0_4120]) ).

cnf(refute_0_4122,plain,
    product(product(c,c),bigC(product(b,a),product(b,a),c)) = product(c,product(product(b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(product(b,a),product(b,a),c)),product(c,product(product(b,c),bigC(a,a,b)))) )],[refute_0_4115,refute_0_4121]) ).

cnf(refute_0_4123,plain,
    bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(product(c,c),bigC(product(b,a),product(b,a),c)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_4124,plain,
    ( bigC(product(c,product(b,a)),product(c,product(b,a)),c) != product(product(c,c),bigC(product(b,a),product(b,a),c))
    | product(product(c,c),bigC(product(b,a),product(b,a),c)) != product(c,product(product(b,c),bigC(a,a,b)))
    | bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(c,product(product(b,c),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,product(b,a)),product(c,product(b,a)),c))),bind(Y,$fot(product(product(c,c),bigC(product(b,a),product(b,a),c)))),bind(Z,$fot(product(c,product(product(b,c),bigC(a,a,b)))))]]) ).

cnf(refute_0_4125,plain,
    ( product(product(c,c),bigC(product(b,a),product(b,a),c)) != product(c,product(product(b,c),bigC(a,a,b)))
    | bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(c,product(product(b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(b,a)),product(c,product(b,a)),c),product(product(c,c),bigC(product(b,a),product(b,a),c))) )],[refute_0_4123,refute_0_4124]) ).

cnf(refute_0_4126,plain,
    bigC(product(c,product(b,a)),product(c,product(b,a)),c) = product(c,product(product(b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(product(b,a),product(b,a),c)),product(c,product(product(b,c),bigC(a,a,b)))) )],[refute_0_4122,refute_0_4125]) ).

cnf(refute_0_4127,plain,
    ( bigC(product(c,product(b,a)),product(c,product(b,a)),c) != product(c,product(product(b,c),bigC(a,a,b)))
    | bigC(product(c,product(b,a)),product(c,product(b,a)),c) != product(product(c,product(b,a)),bigC(product(c,a),b,c))
    | product(c,product(product(b,c),bigC(a,a,b))) = product(product(c,product(b,a)),bigC(product(c,a),b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(b,a)),product(c,product(b,a)),c),product(product(c,product(b,a)),bigC(product(c,a),b,c))) ),[0],$fot(product(c,product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_4128,plain,
    ( bigC(product(c,product(b,a)),product(c,product(b,a)),c) != product(product(c,product(b,a)),bigC(product(c,a),b,c))
    | product(c,product(product(b,c),bigC(a,a,b))) = product(product(c,product(b,a)),bigC(product(c,a),b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(b,a)),product(c,product(b,a)),c),product(c,product(product(b,c),bigC(a,a,b)))) )],[refute_0_4126,refute_0_4127]) ).

cnf(refute_0_4129,plain,
    product(c,product(product(b,c),bigC(a,a,b))) = product(product(c,product(b,a)),bigC(product(c,a),b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(b,a)),product(c,product(b,a)),c),product(product(c,product(b,a)),bigC(product(c,a),b,c))) )],[refute_0_4110,refute_0_4128]) ).

cnf(refute_0_4130,plain,
    product(product(c,product(b,a)),bigC(product(c,a),b,c)) = product(product(c,product(b,a)),bigC(product(c,a),b,c)),
    introduced(tautology,[refl,[$fot(product(product(c,product(b,a)),bigC(product(c,a),b,c)))]]) ).

cnf(refute_0_4131,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | product(product(c,product(b,a)),bigC(product(c,a),b,c)) != product(product(c,product(b,a)),bigC(product(c,a),b,c))
    | product(product(c,product(b,a)),bigC(product(c,a),b,c)) = product(product(c,product(b,a)),bigC(a,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(b,a)),bigC(product(c,a),b,c)),product(product(c,product(b,a)),bigC(product(c,a),b,c))) ),[1,1],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_4132,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | product(product(c,product(b,a)),bigC(product(c,a),b,c)) = product(product(c,product(b,a)),bigC(a,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),bigC(product(c,a),b,c)),product(product(c,product(b,a)),bigC(product(c,a),b,c))) )],[refute_0_4130,refute_0_4131]) ).

cnf(refute_0_4133,plain,
    product(product(c,product(b,a)),bigC(product(c,a),b,c)) = product(product(c,product(b,a)),bigC(a,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_4132]) ).

cnf(refute_0_4134,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != product(product(c,product(b,a)),bigC(product(c,a),b,c))
    | product(product(c,product(b,a)),bigC(product(c,a),b,c)) != product(product(c,product(b,a)),bigC(a,b,product(b,c)))
    | product(c,product(product(b,c),bigC(a,a,b))) = product(product(c,product(b,a)),bigC(a,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(product(b,c),bigC(a,a,b))),product(product(c,product(b,a)),bigC(a,b,product(b,c)))) ),[0],$fot(product(product(c,product(b,a)),bigC(product(c,a),b,c)))]]) ).

cnf(refute_0_4135,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != product(product(c,product(b,a)),bigC(product(c,a),b,c))
    | product(c,product(product(b,c),bigC(a,a,b))) = product(product(c,product(b,a)),bigC(a,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),bigC(product(c,a),b,c)),product(product(c,product(b,a)),bigC(a,b,product(b,c)))) )],[refute_0_4133,refute_0_4134]) ).

cnf(refute_0_4136,plain,
    product(c,product(product(b,c),bigC(a,a,b))) = product(product(c,product(b,a)),bigC(a,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),product(product(c,product(b,a)),bigC(product(c,a),b,c))) )],[refute_0_4129,refute_0_4135]) ).

cnf(refute_0_4137,plain,
    product(product(c,product(b,a)),product(bigC(b,a,b),c)) = bigC(c,product(b,a),bigC(b,a,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(product(b,a))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_4138,plain,
    product(product(c,product(b,a)),bigC(a,b,product(b,c))) = product(product(c,product(b,a)),bigC(a,b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(c,product(b,a)),bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_4139,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | product(product(c,product(b,a)),bigC(a,b,product(b,c))) != product(product(c,product(b,a)),bigC(a,b,product(b,c)))
    | product(product(c,product(b,a)),bigC(a,b,product(b,c))) = product(product(c,product(b,a)),product(bigC(b,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(b,a)),bigC(a,b,product(b,c))),product(product(c,product(b,a)),bigC(a,b,product(b,c)))) ),[1,1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_4140,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | product(product(c,product(b,a)),bigC(a,b,product(b,c))) = product(product(c,product(b,a)),product(bigC(b,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),bigC(a,b,product(b,c))),product(product(c,product(b,a)),bigC(a,b,product(b,c)))) )],[refute_0_4138,refute_0_4139]) ).

cnf(refute_0_4141,plain,
    product(product(c,product(b,a)),bigC(a,b,product(b,c))) = product(product(c,product(b,a)),product(bigC(b,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_1889,refute_0_4140]) ).

cnf(refute_0_4142,plain,
    ( product(product(c,product(b,a)),bigC(a,b,product(b,c))) != product(product(c,product(b,a)),product(bigC(b,a,b),c))
    | product(product(c,product(b,a)),product(bigC(b,a,b),c)) != bigC(c,product(b,a),bigC(b,a,b))
    | product(product(c,product(b,a)),bigC(a,b,product(b,c))) = bigC(c,product(b,a),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(b,a)),bigC(a,b,product(b,c))))),bind(Y,$fot(product(product(c,product(b,a)),product(bigC(b,a,b),c)))),bind(Z,$fot(bigC(c,product(b,a),bigC(b,a,b))))]]) ).

cnf(refute_0_4143,plain,
    ( product(product(c,product(b,a)),product(bigC(b,a,b),c)) != bigC(c,product(b,a),bigC(b,a,b))
    | product(product(c,product(b,a)),bigC(a,b,product(b,c))) = bigC(c,product(b,a),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),bigC(a,b,product(b,c))),product(product(c,product(b,a)),product(bigC(b,a,b),c))) )],[refute_0_4141,refute_0_4142]) ).

cnf(refute_0_4144,plain,
    product(product(c,product(b,a)),bigC(a,b,product(b,c))) = bigC(c,product(b,a),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),product(bigC(b,a,b),c)),bigC(c,product(b,a),bigC(b,a,b))) )],[refute_0_4137,refute_0_4143]) ).

cnf(refute_0_4145,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != product(product(c,product(b,a)),bigC(a,b,product(b,c)))
    | product(product(c,product(b,a)),bigC(a,b,product(b,c))) != bigC(c,product(b,a),bigC(b,a,b))
    | product(c,product(product(b,c),bigC(a,a,b))) = bigC(c,product(b,a),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(product(b,c),bigC(a,a,b))),bigC(c,product(b,a),bigC(b,a,b))) ),[0],$fot(product(product(c,product(b,a)),bigC(a,b,product(b,c))))]]) ).

cnf(refute_0_4146,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != product(product(c,product(b,a)),bigC(a,b,product(b,c)))
    | product(c,product(product(b,c),bigC(a,a,b))) = bigC(c,product(b,a),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),bigC(a,b,product(b,c))),bigC(c,product(b,a),bigC(b,a,b))) )],[refute_0_4144,refute_0_4145]) ).

cnf(refute_0_4147,plain,
    product(c,product(product(b,c),bigC(a,a,b))) = bigC(c,product(b,a),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),product(product(c,product(b,a)),bigC(a,b,product(b,c)))) )],[refute_0_4136,refute_0_4146]) ).

cnf(refute_0_4148,plain,
    bigC(product(b,a),product(b,a),c) = product(product(b,a),product(c,product(b,a))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(b,a))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_4149,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,a),product(c,product(b,a)))
    | product(c,product(b,a)) != product(b,product(a,c))
    | bigC(product(b,a),product(b,a),c) = product(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),product(b,a),c),product(product(b,a),product(c,product(b,a)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4150,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,a),product(c,product(b,a)))
    | bigC(product(b,a),product(b,a),c) = product(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_4149]) ).

cnf(refute_0_4151,plain,
    bigC(product(b,a),product(b,a),c) = product(product(b,a),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),c),product(product(b,a),product(c,product(b,a)))) )],[refute_0_4148,refute_0_4150]) ).

cnf(refute_0_4152,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,a),product(b,product(a,c)))
    | bigC(product(b,a),product(b,a),c) != product(product(b,c),bigC(a,a,b))
    | product(product(b,c),bigC(a,a,b)) = product(product(b,a),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),product(b,a),c),product(product(b,a),product(b,product(a,c)))) ),[0],$fot(product(product(b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_4153,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,a),product(b,product(a,c)))
    | product(product(b,c),bigC(a,a,b)) = product(product(b,a),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),c),product(product(b,c),bigC(a,a,b))) )],[refute_0_4111,refute_0_4152]) ).

cnf(refute_0_4154,plain,
    ( product(product(b,a),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | product(product(b,c),bigC(a,a,b)) != product(product(b,a),product(b,product(a,c)))
    | product(product(b,c),bigC(a,a,b)) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(a,a,b)),product(product(b,a),product(b,product(a,c)))) ),[1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_4155,plain,
    ( product(product(b,c),bigC(a,a,b)) != product(product(b,a),product(b,product(a,c)))
    | product(product(b,c),bigC(a,a,b)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_3669,refute_0_4154]) ).

cnf(refute_0_4156,plain,
    ( bigC(product(b,a),product(b,a),c) != product(product(b,a),product(b,product(a,c)))
    | product(product(b,c),bigC(a,a,b)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,a,b)),product(product(b,a),product(b,product(a,c)))) )],[refute_0_4153,refute_0_4155]) ).

cnf(refute_0_4157,plain,
    product(product(b,c),bigC(a,a,b)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),c),product(product(b,a),product(b,product(a,c)))) )],[refute_0_4151,refute_0_4156]) ).

cnf(refute_0_4158,plain,
    product(c,product(product(b,c),bigC(a,a,b))) = product(c,product(product(b,c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_4159,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != product(c,product(product(b,c),bigC(a,a,b)))
    | product(product(b,c),bigC(a,a,b)) != product(b,product(a,product(a,c)))
    | product(c,product(product(b,c),bigC(a,a,b))) = product(c,product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),product(c,product(product(b,c),bigC(a,a,b)))) ),[1,1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_4160,plain,
    ( product(product(b,c),bigC(a,a,b)) != product(b,product(a,product(a,c)))
    | product(c,product(product(b,c),bigC(a,a,b))) = product(c,product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),product(c,product(product(b,c),bigC(a,a,b)))) )],[refute_0_4158,refute_0_4159]) ).

cnf(refute_0_4161,plain,
    product(c,product(product(b,c),bigC(a,a,b))) = product(c,product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,a,b)),product(b,product(a,product(a,c)))) )],[refute_0_4157,refute_0_4160]) ).

cnf(refute_0_4162,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != bigC(c,product(b,a),bigC(b,a,b))
    | product(c,product(product(b,c),bigC(a,a,b))) != product(c,product(b,product(a,product(a,c))))
    | product(c,product(b,product(a,product(a,c)))) = bigC(c,product(b,a),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),bigC(c,product(b,a),bigC(b,a,b))) ),[0],$fot(product(c,product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_4163,plain,
    ( product(c,product(product(b,c),bigC(a,a,b))) != bigC(c,product(b,a),bigC(b,a,b))
    | product(c,product(b,product(a,product(a,c)))) = bigC(c,product(b,a),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),product(c,product(b,product(a,product(a,c))))) )],[refute_0_4161,refute_0_4162]) ).

cnf(refute_0_4164,plain,
    product(c,product(b,product(a,product(a,c)))) = bigC(c,product(b,a),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),bigC(a,a,b))),bigC(c,product(b,a),bigC(b,a,b))) )],[refute_0_4147,refute_0_4163]) ).

cnf(refute_0_4165,plain,
    ( product(c,product(b,product(a,product(a,c)))) != bigC(c,product(b,a),bigC(b,a,b))
    | bigC(c,product(b,a),bigC(b,a,b)) = product(c,product(b,product(a,product(a,c)))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(b,product(a,product(a,c)))))),bind(Y,$fot(bigC(c,product(b,a),bigC(b,a,b))))]]) ).

cnf(refute_0_4166,plain,
    bigC(c,product(b,a),bigC(b,a,b)) = product(c,product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,product(a,c)))),bigC(c,product(b,a),bigC(b,a,b))) )],[refute_0_4164,refute_0_4165]) ).

cnf(refute_0_4167,plain,
    bigC(c,product(b,a),C) = product(product(c,product(b,a)),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_4168,plain,
    ( bigC(c,product(b,a),C) != product(product(c,product(b,a)),product(C,c))
    | product(c,product(b,a)) != product(b,product(a,c))
    | bigC(c,product(b,a),C) = product(product(b,product(a,c)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(b,a),C),product(product(c,product(b,a)),product(C,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4169,plain,
    ( bigC(c,product(b,a),C) != product(product(c,product(b,a)),product(C,c))
    | bigC(c,product(b,a),C) = product(product(b,product(a,c)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_4168]) ).

cnf(refute_0_4170,plain,
    bigC(c,product(b,a),C) = product(product(b,product(a,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),C),product(product(c,product(b,a)),product(C,c))) )],[refute_0_4167,refute_0_4169]) ).

cnf(refute_0_4171,plain,
    ( bigC(c,product(b,a),C) != product(product(b,product(a,c)),product(C,c))
    | product(product(b,product(a,c)),product(C,c)) = bigC(c,product(b,a),C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(b,a),C))),bind(Y,$fot(product(product(b,product(a,c)),product(C,c))))]]) ).

cnf(refute_0_4172,plain,
    product(product(b,product(a,c)),product(C,c)) = bigC(c,product(b,a),C),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),C),product(product(b,product(a,c)),product(C,c))) )],[refute_0_4170,refute_0_4171]) ).

cnf(refute_0_4173,plain,
    product(product(b,product(a,c)),product(bigC(b,a,b),c)) = bigC(c,product(b,a),bigC(b,a,b)),
    inference(subst,[],[refute_0_4172:[bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_4174,plain,
    ( bigC(c,product(b,a),bigC(b,a,b)) != product(c,product(b,product(a,product(a,c))))
    | product(product(b,product(a,c)),product(bigC(b,a,b),c)) != bigC(c,product(b,a),bigC(b,a,b))
    | product(product(b,product(a,c)),product(bigC(b,a,b),c)) = product(c,product(b,product(a,product(a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(bigC(b,a,b),c)))),bind(Y,$fot(bigC(c,product(b,a),bigC(b,a,b)))),bind(Z,$fot(product(c,product(b,product(a,product(a,c))))))]]) ).

cnf(refute_0_4175,plain,
    ( bigC(c,product(b,a),bigC(b,a,b)) != product(c,product(b,product(a,product(a,c))))
    | product(product(b,product(a,c)),product(bigC(b,a,b),c)) = product(c,product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(bigC(b,a,b),c)),bigC(c,product(b,a),bigC(b,a,b))) )],[refute_0_4173,refute_0_4174]) ).

cnf(refute_0_4176,plain,
    product(product(b,product(a,c)),product(bigC(b,a,b),c)) = product(c,product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),bigC(b,a,b)),product(c,product(b,product(a,product(a,c))))) )],[refute_0_4166,refute_0_4175]) ).

cnf(refute_0_4177,plain,
    ( product(product(b,product(a,c)),product(bigC(b,a,b),c)) != product(c,product(b,product(a,product(a,c))))
    | product(product(b,product(a,product(b,c))),c) != product(product(b,product(a,c)),product(bigC(b,a,b),c))
    | product(product(b,product(a,product(b,c))),c) = product(c,product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(product(b,product(a,c)),product(bigC(b,a,b),c))) ),[1],$fot(product(c,product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_4178,plain,
    ( product(product(b,product(a,product(b,c))),c) != product(product(b,product(a,c)),product(bigC(b,a,b),c))
    | product(product(b,product(a,product(b,c))),c) = product(c,product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(bigC(b,a,b),c)),product(c,product(b,product(a,product(a,c))))) )],[refute_0_4176,refute_0_4177]) ).

cnf(refute_0_4179,plain,
    product(product(b,product(a,product(b,c))),c) = product(c,product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(product(b,product(a,c)),product(bigC(b,a,b),c))) )],[refute_0_4106,refute_0_4178]) ).

cnf(refute_0_4180,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(c,product(b,product(a,product(a,c))))
    | product(c,product(b,product(a,product(a,c)))) = bigC(c,c,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,c,product(b,product(c,a))))),bind(Y,$fot(product(c,product(b,product(a,product(a,c))))))]]) ).

cnf(refute_0_4181,plain,
    product(c,product(b,product(a,product(a,c)))) = bigC(c,c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(c,product(b,product(a,product(a,c))))) )],[refute_0_3916,refute_0_4180]) ).

cnf(refute_0_4182,plain,
    ( product(c,product(b,product(a,product(a,c)))) != bigC(c,c,product(b,product(c,a)))
    | product(product(b,product(a,product(b,c))),c) != product(c,product(b,product(a,product(a,c))))
    | product(product(b,product(a,product(b,c))),c) = bigC(c,c,product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(c,product(b,product(a,product(a,c))))) ),[1],$fot(bigC(c,c,product(b,product(c,a))))]]) ).

cnf(refute_0_4183,plain,
    ( product(product(b,product(a,product(b,c))),c) != product(c,product(b,product(a,product(a,c))))
    | product(product(b,product(a,product(b,c))),c) = bigC(c,c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,product(a,c)))),bigC(c,c,product(b,product(c,a)))) )],[refute_0_4181,refute_0_4182]) ).

cnf(refute_0_4184,plain,
    product(product(b,product(a,product(b,c))),c) = bigC(c,c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(c,product(b,product(a,product(a,c))))) )],[refute_0_4179,refute_0_4183]) ).

cnf(refute_0_4185,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_4186,plain,
    difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = product(difference(difference(c,product(b,c)),product(b,a)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(b,a))),bind(X_32,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_4187,plain,
    difference(quotient(product(b,a),c),product(b,a)) = c,
    inference(subst,[],[refute_0_2584:[bind(B,$fot(c)),bind(X_9,$fot(product(b,a)))]]) ).

cnf(refute_0_4188,plain,
    quotient(quotient(c,product(c,b)),c) = difference(c,product(b,c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(b))]]) ).

cnf(refute_0_4189,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | quotient(quotient(c,product(c,b)),c) != difference(c,product(b,c))
    | quotient(product(b,a),c) = difference(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,b)),c),difference(c,product(b,c))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_4190,plain,
    ( quotient(quotient(c,product(c,b)),c) != difference(c,product(b,c))
    | quotient(product(b,a),c) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_4189]) ).

cnf(refute_0_4191,plain,
    quotient(product(b,a),c) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,b)),c),difference(c,product(b,c))) )],[refute_0_4188,refute_0_4190]) ).

cnf(refute_0_4192,plain,
    ( difference(quotient(product(b,a),c),product(b,a)) != c
    | quotient(product(b,a),c) != difference(c,product(b,c))
    | difference(difference(c,product(b,c)),product(b,a)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(b,a),c),product(b,a)),c) ),[0,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_4193,plain,
    ( difference(quotient(product(b,a),c),product(b,a)) != c
    | difference(difference(c,product(b,c)),product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),difference(c,product(b,c))) )],[refute_0_4191,refute_0_4192]) ).

cnf(refute_0_4194,plain,
    difference(difference(c,product(b,c)),product(b,a)) = c,
    inference(resolve,[$cnf( $equal(difference(quotient(product(b,a),c),product(b,a)),c) )],[refute_0_4187,refute_0_4193]) ).

cnf(refute_0_4195,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != product(difference(difference(c,product(b,c)),product(b,a)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),product(difference(difference(c,product(b,c)),product(b,a)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4196,plain,
    ( difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != product(difference(difference(c,product(b,c)),product(b,a)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,a)),c) )],[refute_0_4194,refute_0_4195]) ).

cnf(refute_0_4197,plain,
    difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),product(difference(difference(c,product(b,c)),product(b,a)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4186,refute_0_4196]) ).

cnf(refute_0_4198,plain,
    difference(product(product(b,a),c),c) = product(c,product(c,quotient(product(b,a),c))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(b,a))),bind(X_20,$fot(c))]]) ).

cnf(refute_0_4199,plain,
    ( difference(product(product(b,a),c),c) != product(c,product(c,quotient(product(b,a),c)))
    | quotient(product(b,a),c) != difference(c,product(b,c))
    | difference(product(product(b,a),c),c) = product(c,product(c,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),c),product(c,product(c,quotient(product(b,a),c)))) ),[1,1,1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_4200,plain,
    ( difference(product(product(b,a),c),c) != product(c,product(c,quotient(product(b,a),c)))
    | difference(product(product(b,a),c),c) = product(c,product(c,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),difference(c,product(b,c))) )],[refute_0_4191,refute_0_4199]) ).

cnf(refute_0_4201,plain,
    difference(product(product(b,a),c),c) = product(c,product(c,difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),c),product(c,product(c,quotient(product(b,a),c)))) )],[refute_0_4198,refute_0_4200]) ).

cnf(refute_0_4202,plain,
    difference(product(product(b,a),c),c) = difference(product(product(b,a),c),c),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),c),c))]]) ).

cnf(refute_0_4203,plain,
    ( difference(product(product(b,a),c),c) != difference(product(product(b,a),c),c)
    | product(product(b,a),c) != product(c,product(c,a))
    | difference(product(product(b,a),c),c) = difference(product(c,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),c),difference(product(product(b,a),c),c)) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_4204,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | difference(product(product(b,a),c),c) = difference(product(c,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),c),difference(product(product(b,a),c),c)) )],[refute_0_4202,refute_0_4203]) ).

cnf(refute_0_4205,plain,
    difference(product(product(b,a),c),c) = difference(product(c,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_4204]) ).

cnf(refute_0_4206,plain,
    ( difference(product(product(b,a),c),c) != difference(product(c,product(c,a)),c)
    | difference(product(product(b,a),c),c) != product(c,product(c,difference(c,product(b,c))))
    | difference(product(c,product(c,a)),c) = product(c,product(c,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),c),product(c,product(c,difference(c,product(b,c))))) ),[0],$fot(difference(product(c,product(c,a)),c))]]) ).

cnf(refute_0_4207,plain,
    ( difference(product(product(b,a),c),c) != product(c,product(c,difference(c,product(b,c))))
    | difference(product(c,product(c,a)),c) = product(c,product(c,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),c),difference(product(c,product(c,a)),c)) )],[refute_0_4205,refute_0_4206]) ).

cnf(refute_0_4208,plain,
    product(product(a,b),difference(product(a,b),bigC(b,a,b))) = bigC(b,a,b),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_4209,plain,
    difference(product(a,b),difference(product(a,product(a,b)),product(a,b))) = product(product(a,b),quotient(a,product(a,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(a,b))),bind(X_27,$fot(a))]]) ).

cnf(refute_0_4210,plain,
    ( difference(product(a,b),difference(product(a,product(a,b)),product(a,b))) != product(product(a,b),quotient(a,product(a,b)))
    | difference(product(a,product(a,b)),product(a,b)) != bigC(b,a,b)
    | difference(product(a,b),bigC(b,a,b)) = product(product(a,b),quotient(a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(a,product(a,b)),product(a,b))),product(product(a,b),quotient(a,product(a,b)))) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4211,plain,
    ( difference(product(a,b),difference(product(a,product(a,b)),product(a,b))) != product(product(a,b),quotient(a,product(a,b)))
    | difference(product(a,b),bigC(b,a,b)) = product(product(a,b),quotient(a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(a,b)),product(a,b)),bigC(b,a,b)) )],[refute_0_1252,refute_0_4210]) ).

cnf(refute_0_4212,plain,
    difference(product(a,b),bigC(b,a,b)) = product(product(a,b),quotient(a,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(a,b)),product(a,b))),product(product(a,b),quotient(a,product(a,b)))) )],[refute_0_4209,refute_0_4211]) ).

cnf(refute_0_4213,plain,
    product(product(b,b),a) = product(product(b,b),a),
    introduced(tautology,[refl,[$fot(product(product(b,b),a))]]) ).

cnf(refute_0_4214,plain,
    ( product(b,b) != b
    | product(product(b,b),a) != product(product(b,b),a)
    | product(product(b,b),a) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),a),product(product(b,b),a)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_4215,plain,
    ( product(b,b) != b
    | product(product(b,b),a) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),a),product(product(b,b),a)) )],[refute_0_4213,refute_0_4214]) ).

cnf(refute_0_4216,plain,
    product(product(b,b),a) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_4215]) ).

cnf(refute_0_4217,plain,
    bigC(A,B,product(difference(A,X_29),A)) = product(product(A,B),product(product(difference(A,X_29),A),A)),
    inference(subst,[],[sos08:[bind(C,$fot(product(difference(A,X_29),A)))]]) ).

cnf(refute_0_4218,plain,
    quotient(A,product(A,X_29)) = product(product(difference(A,X_29),A),A),
    inference(subst,[],[refute_0_753:[bind(B,$fot(X_29)),bind(X_18,$fot(A))]]) ).

cnf(refute_0_4219,plain,
    ( quotient(A,product(A,X_29)) != product(product(difference(A,X_29),A),A)
    | product(product(difference(A,X_29),A),A) = quotient(A,product(A,X_29)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(A,product(A,X_29)))),bind(Y,$fot(product(product(difference(A,X_29),A),A)))]]) ).

cnf(refute_0_4220,plain,
    product(product(difference(A,X_29),A),A) = quotient(A,product(A,X_29)),
    inference(resolve,[$cnf( $equal(quotient(A,product(A,X_29)),product(product(difference(A,X_29),A),A)) )],[refute_0_4218,refute_0_4219]) ).

cnf(refute_0_4221,plain,
    ( bigC(A,B,product(difference(A,X_29),A)) != product(product(A,B),product(product(difference(A,X_29),A),A))
    | product(product(difference(A,X_29),A),A) != quotient(A,product(A,X_29))
    | bigC(A,B,product(difference(A,X_29),A)) = product(product(A,B),quotient(A,product(A,X_29))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),product(product(A,B),product(product(difference(A,X_29),A),A))) ),[1,1],$fot(quotient(A,product(A,X_29)))]]) ).

cnf(refute_0_4222,plain,
    ( bigC(A,B,product(difference(A,X_29),A)) != product(product(A,B),product(product(difference(A,X_29),A),A))
    | bigC(A,B,product(difference(A,X_29),A)) = product(product(A,B),quotient(A,product(A,X_29))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(A,X_29),A),A),quotient(A,product(A,X_29))) )],[refute_0_4220,refute_0_4221]) ).

cnf(refute_0_4223,plain,
    bigC(A,B,product(difference(A,X_29),A)) = product(product(A,B),quotient(A,product(A,X_29))),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),product(product(A,B),product(product(difference(A,X_29),A),A))) )],[refute_0_4217,refute_0_4222]) ).

cnf(refute_0_4224,plain,
    product(product(X_29,A),product(B,A)) = product(product(X_29,B),A),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(X_29)),bind(X_64,$fot(B)),bind(X_66,$fot(A))]]) ).

cnf(refute_0_4225,plain,
    bigC(A,B,difference(A,product(X_29,A))) = product(product(X_29,A),product(B,A)),
    inference(subst,[],[refute_0_777:[bind(B,$fot(product(X_29,A))),bind(X_21,$fot(A)),bind(X_23,$fot(B))]]) ).

cnf(refute_0_4226,plain,
    ( bigC(A,B,difference(A,product(X_29,A))) != product(product(X_29,A),product(B,A))
    | product(product(X_29,A),product(B,A)) != product(product(X_29,B),A)
    | bigC(A,B,difference(A,product(X_29,A))) = product(product(X_29,B),A) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(A,B,difference(A,product(X_29,A))))),bind(Y,$fot(product(product(X_29,A),product(B,A)))),bind(Z,$fot(product(product(X_29,B),A)))]]) ).

cnf(refute_0_4227,plain,
    ( product(product(X_29,A),product(B,A)) != product(product(X_29,B),A)
    | bigC(A,B,difference(A,product(X_29,A))) = product(product(X_29,B),A) ),
    inference(resolve,[$cnf( $equal(bigC(A,B,difference(A,product(X_29,A))),product(product(X_29,A),product(B,A))) )],[refute_0_4225,refute_0_4226]) ).

cnf(refute_0_4228,plain,
    bigC(A,B,difference(A,product(X_29,A))) = product(product(X_29,B),A),
    inference(resolve,[$cnf( $equal(product(product(X_29,A),product(B,A)),product(product(X_29,B),A)) )],[refute_0_4224,refute_0_4227]) ).

cnf(refute_0_4229,plain,
    product(difference(A,X_29),A) = difference(A,product(X_29,A)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(X_29)),bind(X_74,$fot(A))]]) ).

cnf(refute_0_4230,plain,
    bigC(A,B,product(difference(A,X_29),A)) = bigC(A,B,product(difference(A,X_29),A)),
    introduced(tautology,[refl,[$fot(bigC(A,B,product(difference(A,X_29),A)))]]) ).

cnf(refute_0_4231,plain,
    ( bigC(A,B,product(difference(A,X_29),A)) != bigC(A,B,product(difference(A,X_29),A))
    | product(difference(A,X_29),A) != difference(A,product(X_29,A))
    | bigC(A,B,product(difference(A,X_29),A)) = bigC(A,B,difference(A,product(X_29,A))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),bigC(A,B,product(difference(A,X_29),A))) ),[1,2],$fot(difference(A,product(X_29,A)))]]) ).

cnf(refute_0_4232,plain,
    ( product(difference(A,X_29),A) != difference(A,product(X_29,A))
    | bigC(A,B,product(difference(A,X_29),A)) = bigC(A,B,difference(A,product(X_29,A))) ),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),bigC(A,B,product(difference(A,X_29),A))) )],[refute_0_4230,refute_0_4231]) ).

cnf(refute_0_4233,plain,
    bigC(A,B,product(difference(A,X_29),A)) = bigC(A,B,difference(A,product(X_29,A))),
    inference(resolve,[$cnf( $equal(product(difference(A,X_29),A),difference(A,product(X_29,A))) )],[refute_0_4229,refute_0_4232]) ).

cnf(refute_0_4234,plain,
    ( bigC(A,B,difference(A,product(X_29,A))) != product(product(X_29,B),A)
    | bigC(A,B,product(difference(A,X_29),A)) != bigC(A,B,difference(A,product(X_29,A)))
    | bigC(A,B,product(difference(A,X_29),A)) = product(product(X_29,B),A) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(A,B,product(difference(A,X_29),A)))),bind(Y,$fot(bigC(A,B,difference(A,product(X_29,A))))),bind(Z,$fot(product(product(X_29,B),A)))]]) ).

cnf(refute_0_4235,plain,
    ( bigC(A,B,difference(A,product(X_29,A))) != product(product(X_29,B),A)
    | bigC(A,B,product(difference(A,X_29),A)) = product(product(X_29,B),A) ),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),bigC(A,B,difference(A,product(X_29,A)))) )],[refute_0_4233,refute_0_4234]) ).

cnf(refute_0_4236,plain,
    bigC(A,B,product(difference(A,X_29),A)) = product(product(X_29,B),A),
    inference(resolve,[$cnf( $equal(bigC(A,B,difference(A,product(X_29,A))),product(product(X_29,B),A)) )],[refute_0_4228,refute_0_4235]) ).

cnf(refute_0_4237,plain,
    ( bigC(A,B,product(difference(A,X_29),A)) != product(product(A,B),quotient(A,product(A,X_29)))
    | bigC(A,B,product(difference(A,X_29),A)) != product(product(X_29,B),A)
    | product(product(X_29,B),A) = product(product(A,B),quotient(A,product(A,X_29))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),product(product(A,B),quotient(A,product(A,X_29)))) ),[0],$fot(product(product(X_29,B),A))]]) ).

cnf(refute_0_4238,plain,
    ( bigC(A,B,product(difference(A,X_29),A)) != product(product(A,B),quotient(A,product(A,X_29)))
    | product(product(X_29,B),A) = product(product(A,B),quotient(A,product(A,X_29))) ),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),product(product(X_29,B),A)) )],[refute_0_4236,refute_0_4237]) ).

cnf(refute_0_4239,plain,
    product(product(X_29,B),A) = product(product(A,B),quotient(A,product(A,X_29))),
    inference(resolve,[$cnf( $equal(bigC(A,B,product(difference(A,X_29),A)),product(product(A,B),quotient(A,product(A,X_29)))) )],[refute_0_4223,refute_0_4238]) ).

cnf(refute_0_4240,plain,
    ( product(product(X_29,B),A) != product(product(A,B),quotient(A,product(A,X_29)))
    | product(product(A,B),quotient(A,product(A,X_29))) = product(product(X_29,B),A) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_29,B),A))),bind(Y,$fot(product(product(A,B),quotient(A,product(A,X_29)))))]]) ).

cnf(refute_0_4241,plain,
    product(product(A,B),quotient(A,product(A,X_29))) = product(product(X_29,B),A),
    inference(resolve,[$cnf( $equal(product(product(X_29,B),A),product(product(A,B),quotient(A,product(A,X_29)))) )],[refute_0_4239,refute_0_4240]) ).

cnf(refute_0_4242,plain,
    product(product(a,b),quotient(a,product(a,b))) = product(product(b,b),a),
    inference(subst,[],[refute_0_4241:[bind(A,$fot(a)),bind(B,$fot(b)),bind(X_29,$fot(b))]]) ).

cnf(refute_0_4243,plain,
    ( product(product(a,b),quotient(a,product(a,b))) != product(product(b,b),a)
    | product(product(b,b),a) != product(b,a)
    | product(product(a,b),quotient(a,product(a,b))) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),quotient(a,product(a,b))))),bind(Y,$fot(product(product(b,b),a))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_4244,plain,
    ( product(product(b,b),a) != product(b,a)
    | product(product(a,b),quotient(a,product(a,b))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(a,product(a,b))),product(product(b,b),a)) )],[refute_0_4242,refute_0_4243]) ).

cnf(refute_0_4245,plain,
    product(product(a,b),quotient(a,product(a,b))) = product(b,a),
    inference(resolve,[$cnf( $equal(product(product(b,b),a),product(b,a)) )],[refute_0_4216,refute_0_4244]) ).

cnf(refute_0_4246,plain,
    ( difference(product(a,b),bigC(b,a,b)) != product(product(a,b),quotient(a,product(a,b)))
    | product(product(a,b),quotient(a,product(a,b))) != product(b,a)
    | difference(product(a,b),bigC(b,a,b)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),bigC(b,a,b)),product(b,a)) ),[0],$fot(product(product(a,b),quotient(a,product(a,b))))]]) ).

cnf(refute_0_4247,plain,
    ( difference(product(a,b),bigC(b,a,b)) != product(product(a,b),quotient(a,product(a,b)))
    | difference(product(a,b),bigC(b,a,b)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(a,product(a,b))),product(b,a)) )],[refute_0_4245,refute_0_4246]) ).

cnf(refute_0_4248,plain,
    difference(product(a,b),bigC(b,a,b)) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(b,a,b)),product(product(a,b),quotient(a,product(a,b)))) )],[refute_0_4212,refute_0_4247]) ).

cnf(refute_0_4249,plain,
    ( difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | product(product(a,b),difference(product(a,b),bigC(b,a,b))) != bigC(b,a,b)
    | product(product(a,b),product(b,a)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),difference(product(a,b),bigC(b,a,b))),bigC(b,a,b)) ),[0,1],$fot(product(b,a))]]) ).

cnf(refute_0_4250,plain,
    ( product(product(a,b),difference(product(a,b),bigC(b,a,b))) != bigC(b,a,b)
    | product(product(a,b),product(b,a)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(b,a,b)),product(b,a)) )],[refute_0_4248,refute_0_4249]) ).

cnf(refute_0_4251,plain,
    product(product(a,b),product(b,a)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(product(a,b),bigC(b,a,b))),bigC(b,a,b)) )],[refute_0_4208,refute_0_4250]) ).

cnf(refute_0_4252,plain,
    product(product(a,b),product(b,a)) = bigC(a,b,b),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_4253,plain,
    ( product(product(a,b),product(b,a)) != bigC(a,b,b)
    | product(product(a,b),product(b,a)) != bigC(b,a,b)
    | bigC(a,b,b) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(b,a)),bigC(b,a,b)) ),[0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4254,plain,
    ( product(product(a,b),product(b,a)) != bigC(b,a,b)
    | bigC(a,b,b) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,a)),bigC(a,b,b)) )],[refute_0_4252,refute_0_4253]) ).

cnf(refute_0_4255,plain,
    bigC(a,b,b) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,a)),bigC(b,a,b)) )],[refute_0_4251,refute_0_4254]) ).

cnf(refute_0_4256,plain,
    ( bigC(a,b,b) != bigC(b,a,b)
    | bigC(b,a,b) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,b))),bind(Y,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_4257,plain,
    bigC(b,a,b) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(a,b,b),bigC(b,a,b)) )],[refute_0_4255,refute_0_4256]) ).

cnf(refute_0_4258,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,b,c) = bigC(a,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) ),[1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4259,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,b,c) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_4258]) ).

cnf(refute_0_4260,plain,
    bigC(c,b,c) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_4259]) ).

cnf(refute_0_4261,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | bigC(c,c,b) != bigC(c,b,c)
    | bigC(c,c,b) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,b))),bind(Y,$fot(bigC(c,b,c))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_4262,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | bigC(c,c,b) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_4261]) ).

cnf(refute_0_4263,plain,
    bigC(c,c,b) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_4262]) ).

cnf(refute_0_4264,plain,
    ( bigC(c,c,b) != bigC(a,b,b)
    | product(c,product(b,c)) != bigC(c,c,b)
    | product(c,product(b,c)) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(b,c)))),bind(Y,$fot(bigC(c,c,b))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_4265,plain,
    ( bigC(c,c,b) != bigC(a,b,b)
    | product(c,product(b,c)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,c,b)) )],[refute_0_391,refute_0_4264]) ).

cnf(refute_0_4266,plain,
    product(c,product(b,c)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(a,b,b)) )],[refute_0_4263,refute_0_4265]) ).

cnf(refute_0_4267,plain,
    product(c,difference(c,product(b,c))) = product(b,c),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_4268,plain,
    product(c,product(c,difference(c,product(b,c)))) = product(c,product(c,difference(c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(c,product(c,difference(c,product(b,c)))))]]) ).

cnf(refute_0_4269,plain,
    ( product(c,difference(c,product(b,c))) != product(b,c)
    | product(c,product(c,difference(c,product(b,c)))) != product(c,product(c,difference(c,product(b,c))))
    | product(c,product(c,difference(c,product(b,c)))) = product(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,difference(c,product(b,c)))),product(c,product(c,difference(c,product(b,c))))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_4270,plain,
    ( product(c,difference(c,product(b,c))) != product(b,c)
    | product(c,product(c,difference(c,product(b,c)))) = product(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,product(b,c)))),product(c,product(c,difference(c,product(b,c))))) )],[refute_0_4268,refute_0_4269]) ).

cnf(refute_0_4271,plain,
    product(c,product(c,difference(c,product(b,c)))) = product(c,product(b,c)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(b,c))),product(b,c)) )],[refute_0_4267,refute_0_4270]) ).

cnf(refute_0_4272,plain,
    ( product(c,product(b,c)) != bigC(a,b,b)
    | product(c,product(c,difference(c,product(b,c)))) != product(c,product(b,c))
    | product(c,product(c,difference(c,product(b,c)))) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,difference(c,product(b,c)))))),bind(Y,$fot(product(c,product(b,c)))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_4273,plain,
    ( product(c,product(b,c)) != bigC(a,b,b)
    | product(c,product(c,difference(c,product(b,c)))) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,product(b,c)))),product(c,product(b,c))) )],[refute_0_4271,refute_0_4272]) ).

cnf(refute_0_4274,plain,
    product(c,product(c,difference(c,product(b,c)))) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(a,b,b)) )],[refute_0_4266,refute_0_4273]) ).

cnf(refute_0_4275,plain,
    ( difference(product(c,product(c,a)),c) != product(c,product(c,difference(c,product(b,c))))
    | product(c,product(c,difference(c,product(b,c)))) != bigC(a,b,b)
    | difference(product(c,product(c,a)),c) = bigC(a,b,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,a)),c),bigC(a,b,b)) ),[0],$fot(product(c,product(c,difference(c,product(b,c)))))]]) ).

cnf(refute_0_4276,plain,
    ( difference(product(c,product(c,a)),c) != product(c,product(c,difference(c,product(b,c))))
    | difference(product(c,product(c,a)),c) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,product(b,c)))),bigC(a,b,b)) )],[refute_0_4274,refute_0_4275]) ).

cnf(refute_0_4277,plain,
    ( difference(product(product(b,a),c),c) != product(c,product(c,difference(c,product(b,c))))
    | difference(product(c,product(c,a)),c) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),c),product(c,product(c,difference(c,product(b,c))))) )],[refute_0_4207,refute_0_4276]) ).

cnf(refute_0_4278,plain,
    difference(product(c,product(c,a)),c) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),c),product(c,product(c,difference(c,product(b,c))))) )],[refute_0_4201,refute_0_4277]) ).

cnf(refute_0_4279,plain,
    difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_4280,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) != difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a)))
    | difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))),difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4281,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))),difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a)))) )],[refute_0_4279,refute_0_4280]) ).

cnf(refute_0_4282,plain,
    difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,a)),c) )],[refute_0_4194,refute_0_4281]) ).

cnf(refute_0_4283,plain,
    product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_4284,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != product(product(b,a),difference(difference(c,product(b,c)),product(b,a)))
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),product(product(b,a),difference(difference(c,product(b,c)),product(b,a)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4285,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),product(product(b,a),difference(difference(c,product(b,c)),product(b,a)))) )],[refute_0_4283,refute_0_4284]) ).

cnf(refute_0_4286,plain,
    product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,a)),c) )],[refute_0_4194,refute_0_4285]) ).

cnf(refute_0_4287,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != product(product(b,a),c)
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))))),bind(Y,$fot(product(product(b,a),c))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_4288,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),product(product(b,a),c)) )],[refute_0_4286,refute_0_4287]) ).

cnf(refute_0_4289,plain,
    product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_4288]) ).

cnf(refute_0_4290,plain,
    difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_4291,plain,
    ( difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a)))
    | product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != product(c,product(c,a))
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_4292,plain,
    ( product(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != product(c,product(c,a))
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a)))) )],[refute_0_4290,refute_0_4291]) ).

cnf(refute_0_4293,plain,
    difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),product(c,product(c,a))) )],[refute_0_4289,refute_0_4292]) ).

cnf(refute_0_4294,plain,
    ( difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) != difference(product(c,product(c,a)),c)
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a)))
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))))),bind(Y,$fot(difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))))),bind(Z,$fot(difference(product(c,product(c,a)),c)))]]) ).

cnf(refute_0_4295,plain,
    ( difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))) != difference(product(c,product(c,a)),c)
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a)))) )],[refute_0_4293,refute_0_4294]) ).

cnf(refute_0_4296,plain,
    difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = difference(product(c,product(c,a)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),difference(difference(c,product(b,c)),product(b,a))),difference(product(c,product(c,a)),c)) )],[refute_0_4282,refute_0_4295]) ).

cnf(refute_0_4297,plain,
    ( difference(product(c,product(c,a)),c) != bigC(a,b,b)
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != difference(product(c,product(c,a)),c)
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))))),bind(Y,$fot(difference(product(c,product(c,a)),c))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_4298,plain,
    ( difference(product(c,product(c,a)),c) != bigC(a,b,b)
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),difference(product(c,product(c,a)),c)) )],[refute_0_4296,refute_0_4297]) ).

cnf(refute_0_4299,plain,
    difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),c),bigC(a,b,b)) )],[refute_0_4278,refute_0_4298]) ).

cnf(refute_0_4300,plain,
    ( difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != bigC(a,b,b)
    | difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | bigC(a,b,b) = product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) ),[0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4301,plain,
    ( difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))) != product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | bigC(a,b,b) = product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),bigC(a,b,b)) )],[refute_0_4299,refute_0_4300]) ).

cnf(refute_0_4302,plain,
    bigC(a,b,b) = product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(difference(c,product(b,c)),product(b,a))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4197,refute_0_4301]) ).

cnf(refute_0_4303,plain,
    ( bigC(a,b,b) != product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,b))),bind(Y,$fot(product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))))]]) ).

cnf(refute_0_4304,plain,
    product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(a,b,b),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4302,refute_0_4303]) ).

cnf(refute_0_4305,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))
    | product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(a,b,b)
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4306,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(a,b,b)) )],[refute_0_4304,refute_0_4305]) ).

cnf(refute_0_4307,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))) )],[refute_0_4185,refute_0_4306]) ).

cnf(refute_0_4308,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) = bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))),bind(B,$fot(c)),bind(C,$fot(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))]]) ).

cnf(refute_0_4309,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) != bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) ),[0],$fot(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))]]) ).

cnf(refute_0_4310,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c),bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4308,refute_0_4309]) ).

cnf(refute_0_4311,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) )],[refute_0_4307,refute_0_4310]) ).

cnf(refute_0_4312,plain,
    bigC(product(b,c),c,product(b,c)) = product(product(product(b,c),c),product(b,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(b,c))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_4313,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(product(product(b,c),c),product(b,c))
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(product(b,c),c,product(b,c)) = product(product(b,product(a,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(product(product(b,c),c),product(b,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4314,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(product(product(b,c),c),product(b,c))
    | bigC(product(b,c),c,product(b,c)) = product(product(b,product(a,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_4313]) ).

cnf(refute_0_4315,plain,
    bigC(product(b,c),c,product(b,c)) = product(product(b,product(a,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(product(product(b,c),c),product(b,c))) )],[refute_0_4312,refute_0_4314]) ).

cnf(refute_0_4316,plain,
    bigC(b,product(c,a),product(b,c)) = bigC(b,product(b,c),product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(product(b,c))),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_4317,plain,
    bigC(product(b,c),c,product(b,c)) = bigC(b,product(c,a),product(b,c)),
    inference(subst,[],[refute_0_3268:[bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_4318,plain,
    ( bigC(b,product(c,a),product(b,c)) != bigC(b,product(b,c),product(c,a))
    | bigC(product(b,c),c,product(b,c)) != bigC(b,product(c,a),product(b,c))
    | bigC(product(b,c),c,product(b,c)) = bigC(b,product(b,c),product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),c,product(b,c)))),bind(Y,$fot(bigC(b,product(c,a),product(b,c)))),bind(Z,$fot(bigC(b,product(b,c),product(c,a))))]]) ).

cnf(refute_0_4319,plain,
    ( bigC(b,product(c,a),product(b,c)) != bigC(b,product(b,c),product(c,a))
    | bigC(product(b,c),c,product(b,c)) = bigC(b,product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),bigC(b,product(c,a),product(b,c))) )],[refute_0_4317,refute_0_4318]) ).

cnf(refute_0_4320,plain,
    bigC(product(b,c),c,product(b,c)) = bigC(b,product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(b,c)),bigC(b,product(b,c),product(c,a))) )],[refute_0_4316,refute_0_4319]) ).

cnf(refute_0_4321,plain,
    ( bigC(product(b,c),c,product(b,c)) != bigC(b,product(b,c),product(c,a))
    | bigC(product(b,c),c,product(b,c)) != product(product(b,product(a,c)),product(b,c))
    | bigC(b,product(b,c),product(c,a)) = product(product(b,product(a,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(product(b,product(a,c)),product(b,c))) ),[0],$fot(bigC(b,product(b,c),product(c,a)))]]) ).

cnf(refute_0_4322,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(product(b,product(a,c)),product(b,c))
    | bigC(b,product(b,c),product(c,a)) = product(product(b,product(a,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),bigC(b,product(b,c),product(c,a))) )],[refute_0_4320,refute_0_4321]) ).

cnf(refute_0_4323,plain,
    product(product(b,a),product(b,product(b,c))) = product(b,product(a,product(b,c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c)))]]) ).

cnf(refute_0_4324,plain,
    product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,C),product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),
    inference(subst,[],[sos05:[bind(B,$fot(a)),bind(D,$fot(product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4325,plain,
    product(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(product(a,product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4326,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = product(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(a,product(product(b,product(b,c)),c)))),bind(X_18,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_4327,plain,
    ( difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,product(product(b,c),c))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != product(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(a,product(b,c)))) ),[1,0,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_4328,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != product(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(product(b,c),c))) )],[refute_0_3060,refute_0_4327]) ).

cnf(refute_0_4329,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(product(difference(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_4326,refute_0_4328]) ).

cnf(refute_0_4330,plain,
    product(product(b,c),product(product(b,product(b,c)),c)) = product(product(b,product(b,product(b,c))),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(b)),bind(X_64,$fot(product(b,product(b,c)))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_4331,plain,
    product(a,product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,c),product(product(b,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,c),product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_4332,plain,
    ( product(a,product(product(b,c),product(product(b,product(b,c)),c))) != product(a,product(product(b,c),product(product(b,product(b,c)),c)))
    | product(product(b,c),product(product(b,product(b,c)),c)) != product(product(b,product(b,product(b,c))),c)
    | product(a,product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,product(b,product(b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),product(product(b,product(b,c)),c))),product(a,product(product(b,c),product(product(b,product(b,c)),c)))) ),[1,1],$fot(product(product(b,product(b,product(b,c))),c))]]) ).

cnf(refute_0_4333,plain,
    ( product(product(b,c),product(product(b,product(b,c)),c)) != product(product(b,product(b,product(b,c))),c)
    | product(a,product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,product(b,product(b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(product(b,product(b,c)),c))),product(a,product(product(b,c),product(product(b,product(b,c)),c)))) )],[refute_0_4331,refute_0_4332]) ).

cnf(refute_0_4334,plain,
    product(a,product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,product(b,product(b,c))),c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,product(b,c)),c)),product(product(b,product(b,product(b,c))),c)) )],[refute_0_4330,refute_0_4333]) ).

cnf(refute_0_4335,plain,
    product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_4336,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) != product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))
    | product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,c),product(product(b,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_4337,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,c),product(product(b,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) )],[refute_0_4335,refute_0_4336]) ).

cnf(refute_0_4338,plain,
    product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,c),product(product(b,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_4337]) ).

cnf(refute_0_4339,plain,
    ( product(a,product(product(b,c),product(product(b,product(b,c)),c))) != product(a,product(product(b,product(b,product(b,c))),c))
    | product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) != product(a,product(product(b,c),product(product(b,product(b,c)),c)))
    | product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,product(b,product(b,c))),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))),bind(Y,$fot(product(a,product(product(b,c),product(product(b,product(b,c)),c))))),bind(Z,$fot(product(a,product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4340,plain,
    ( product(a,product(product(b,c),product(product(b,product(b,c)),c))) != product(a,product(product(b,product(b,product(b,c))),c))
    | product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,product(b,product(b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))),product(a,product(product(b,c),product(product(b,product(b,c)),c)))) )],[refute_0_4338,refute_0_4339]) ).

cnf(refute_0_4341,plain,
    product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) = product(a,product(product(b,product(b,product(b,c))),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(product(b,product(b,c)),c))),product(a,product(product(b,product(b,product(b,c))),c))) )],[refute_0_4334,refute_0_4340]) ).

cnf(refute_0_4342,plain,
    quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))))]]) ).

cnf(refute_0_4343,plain,
    ( product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) != product(a,product(product(b,product(b,product(b,c))),c))
    | quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) != quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))
    | quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))),quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))) ),[1,1],$fot(product(a,product(product(b,product(b,product(b,c))),c)))]]) ).

cnf(refute_0_4344,plain,
    ( product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))) != product(a,product(product(b,product(b,product(b,c))),c))
    | quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))),quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))) )],[refute_0_4342,refute_0_4343]) ).

cnf(refute_0_4345,plain,
    quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))),product(a,product(product(b,product(b,product(b,c))),c))) )],[refute_0_4341,refute_0_4344]) ).

cnf(refute_0_4346,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))),
    inference(subst,[],[refute_0_2175:[bind(X_63,$fot(a)),bind(X_64,$fot(product(b,c))),bind(X_65,$fot(a)),bind(X_66,$fot(product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_4347,plain,
    ( quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) != quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))))),bind(Y,$fot(quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))))),bind(Z,$fot(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c)))))]]) ).

cnf(refute_0_4348,plain,
    ( quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))) != quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c))))) )],[refute_0_4346,refute_0_4347]) ).

cnf(refute_0_4349,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,a),product(product(b,c),product(product(b,product(b,c)),c)))),quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c)))) )],[refute_0_4345,refute_0_4348]) ).

cnf(refute_0_4350,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) = product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4351,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) = product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c)))) )],[refute_0_4349,refute_0_4350]) ).

cnf(refute_0_4352,plain,
    product(product(product(product(b,c),c),b),product(product(b,c),c)) = bigC(product(product(b,c),c),b,product(product(b,c),c)),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(product(product(b,c),c))),bind(X_22,$fot(b))]]) ).

cnf(refute_0_4353,plain,
    product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))))]]) ).

cnf(refute_0_4354,plain,
    ( product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(a,product(product(product(product(b,c),c),b),product(product(b,c),c)))
    | product(product(product(product(b,c),c),b),product(product(b,c),c)) != bigC(product(product(b,c),c),b,product(product(b,c),c))
    | product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))),product(a,product(product(product(product(b,c),c),b),product(product(b,c),c)))) ),[1,1],$fot(bigC(product(product(b,c),c),b,product(product(b,c),c)))]]) ).

cnf(refute_0_4355,plain,
    ( product(product(product(product(b,c),c),b),product(product(b,c),c)) != bigC(product(product(b,c),c),b,product(product(b,c),c))
    | product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))),product(a,product(product(product(product(b,c),c),b),product(product(b,c),c)))) )],[refute_0_4353,refute_0_4354]) ).

cnf(refute_0_4356,plain,
    product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),b),product(product(b,c),c)),bigC(product(product(b,c),c),b,product(product(b,c),c))) )],[refute_0_4352,refute_0_4355]) ).

cnf(refute_0_4357,plain,
    product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))))]]) ).

cnf(refute_0_4358,plain,
    ( product(product(a,a),a) != a
    | product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))
    | product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_4359,plain,
    ( product(product(a,a),a) != a
    | product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))) )],[refute_0_4357,refute_0_4358]) ).

cnf(refute_0_4360,plain,
    product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),a),a) )],[refute_0_2200,refute_0_4359]) ).

cnf(refute_0_4361,plain,
    ( product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))
    | product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(a,product(product(product(product(b,c),c),b),product(product(b,c),c)))
    | product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))))),bind(Y,$fot(product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))))),bind(Z,$fot(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))))]]) ).

cnf(refute_0_4362,plain,
    ( product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))
    | product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),product(a,product(product(product(product(b,c),c),b),product(product(b,c),c)))) )],[refute_0_4360,refute_0_4361]) ).

cnf(refute_0_4363,plain,
    product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(a,product(product(product(product(b,c),c),b),product(product(b,c),c))),product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))) )],[refute_0_4356,refute_0_4362]) ).

cnf(refute_0_4364,plain,
    product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c))) = product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),
    inference(subst,[],[refute_0_1192:[bind(A,$fot(product(a,a))),bind(C,$fot(a)),bind(X_63,$fot(product(product(b,c),c))),bind(X_64,$fot(product(b,c))),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_4365,plain,
    product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(a,product(b,c)))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(product(product(b,c),c))),bind(X_66,$fot(product(b,c)))]]) ).

cnf(refute_0_4366,plain,
    ( product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c))) != product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c)))
    | product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c))))),bind(Z,$fot(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))))]]) ).

cnf(refute_0_4367,plain,
    ( product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c))) != product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))),product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c)))) )],[refute_0_4365,refute_0_4366]) ).

cnf(refute_0_4368,plain,
    product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(product(b,c),c),product(b,c))),product(a,product(b,c))),product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))) )],[refute_0_4364,refute_0_4367]) ).

cnf(refute_0_4369,plain,
    ( product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) != product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))))),bind(Z,$fot(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))))]]) ).

cnf(refute_0_4370,plain,
    ( product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))) != product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))
    | product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))),product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c)))) )],[refute_0_4368,refute_0_4369]) ).

cnf(refute_0_4371,plain,
    product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),a),product(product(product(product(b,c),c),b),product(product(b,c),c))),product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))) )],[refute_0_4363,refute_0_4370]) ).

cnf(refute_0_4372,plain,
    ( product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))) != product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) != product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))) ),[1],$fot(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))))]]) ).

cnf(refute_0_4373,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) != product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c))),product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))) )],[refute_0_4371,refute_0_4372]) ).

cnf(refute_0_4374,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) != product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_4351,refute_0_4373]) ).

cnf(refute_0_4375,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))),product(product(product(a,product(product(b,c),c)),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_4329,refute_0_4374]) ).

cnf(refute_0_4376,plain,
    ( product(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(product(b,product(b,product(b,c))),c))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))) != product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))
    | product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(b,c))) ),[0,0],$fot(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))))]]) ).

cnf(refute_0_4377,plain,
    ( product(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(product(b,product(b,product(b,c))),c))) != product(a,product(b,c))
    | product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(a,bigC(product(product(b,c),c),b,product(product(b,c),c)))) )],[refute_0_4375,refute_0_4376]) ).

cnf(refute_0_4378,plain,
    product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(b,c))) )],[refute_0_4325,refute_0_4377]) ).

cnf(refute_0_4379,plain,
    product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) = product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(bigC(product(product(b,c),c),b,product(product(b,c),c)))),bind(X_66,$fot(product(product(b,product(b,product(b,c))),c)))]]) ).

cnf(refute_0_4380,plain,
    ( product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) != product(a,product(b,c))
    | product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) != product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))
    | product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(b,c))) ),[0],$fot(product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4381,plain,
    ( product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))) != product(a,product(b,c))
    | product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) )],[refute_0_4379,refute_0_4380]) ).

cnf(refute_0_4382,plain,
    product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(product(product(b,c),c),b,product(product(b,c),c))),product(a,product(product(b,product(b,product(b,c))),c))),product(a,product(b,c))) )],[refute_0_4378,refute_0_4381]) ).

cnf(refute_0_4383,plain,
    ( product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) != product(a,product(b,c))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(product(A,C),product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,C),product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_4384,plain,
    ( product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(product(A,C),product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),product(a,product(b,c))) )],[refute_0_4382,refute_0_4383]) ).

cnf(refute_0_4385,plain,
    product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,C),product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))) )],[refute_0_4324,refute_0_4384]) ).

cnf(refute_0_4386,plain,
    difference(a,product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4387,plain,
    ( difference(a,product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))
    | product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) != product(a,product(b,c))
    | difference(a,product(a,product(b,c))) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_4388,plain,
    ( difference(a,product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))
    | difference(a,product(a,product(b,c))) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),product(a,product(b,c))) )],[refute_0_4382,refute_0_4387]) ).

cnf(refute_0_4389,plain,
    difference(a,product(a,product(b,c))) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) )],[refute_0_4386,refute_0_4388]) ).

cnf(refute_0_4390,plain,
    difference(a,product(a,product(b,c))) = product(b,c),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_4391,plain,
    ( difference(a,product(a,product(b,c))) != product(b,c)
    | difference(a,product(a,product(b,c))) != product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))
    | product(b,c) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(b,c))),product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_4392,plain,
    ( difference(a,product(a,product(b,c))) != product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))
    | product(b,c) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(b,c))),product(b,c)) )],[refute_0_4390,refute_0_4391]) ).

cnf(refute_0_4393,plain,
    product(b,c) = product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(b,c))),product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) )],[refute_0_4389,refute_0_4392]) ).

cnf(refute_0_4394,plain,
    ( product(b,c) != product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))
    | product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4395,plain,
    product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) )],[refute_0_4393,refute_0_4394]) ).

cnf(refute_0_4396,plain,
    product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),
    introduced(tautology,[refl,[$fot(product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))]]) ).

cnf(refute_0_4397,plain,
    ( product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) != product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))
    | product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) != product(b,c)
    | product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(C,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_4398,plain,
    ( product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)) != product(b,c)
    | product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(C,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) )],[refute_0_4396,refute_0_4397]) ).

cnf(refute_0_4399,plain,
    product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) = product(C,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)),product(b,c)) )],[refute_0_4395,refute_0_4398]) ).

cnf(refute_0_4400,plain,
    product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))))]]) ).

cnf(refute_0_4401,plain,
    ( product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) != product(C,product(b,c))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,a),product(C,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))) ),[1,1],$fot(product(C,product(b,c)))]]) ).

cnf(refute_0_4402,plain,
    ( product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))) != product(C,product(b,c))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,a),product(C,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))))) )],[refute_0_4400,refute_0_4401]) ).

cnf(refute_0_4403,plain,
    product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) = product(product(A,a),product(C,product(b,c))),
    inference(resolve,[$cnf( $equal(product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c))),product(C,product(b,c))) )],[refute_0_4399,refute_0_4402]) ).

cnf(refute_0_4404,plain,
    ( product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(product(A,C),product(a,product(b,c)))
    | product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(product(A,a),product(C,product(b,c)))
    | product(product(A,a),product(C,product(b,c))) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,C),product(a,product(b,c)))) ),[0],$fot(product(product(A,a),product(C,product(b,c))))]]) ).

cnf(refute_0_4405,plain,
    ( product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))) != product(product(A,C),product(a,product(b,c)))
    | product(product(A,a),product(C,product(b,c))) = product(product(A,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,a),product(C,product(b,c)))) )],[refute_0_4403,refute_0_4404]) ).

cnf(refute_0_4406,plain,
    product(product(A,a),product(C,product(b,c))) = product(product(A,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(product(product(b,c),c),b,product(product(b,c),c)),product(product(b,product(b,product(b,c))),c)))),product(product(A,C),product(a,product(b,c)))) )],[refute_0_4385,refute_0_4405]) ).

cnf(refute_0_4407,plain,
    ( product(product(A,a),product(C,product(b,c))) != product(product(A,C),product(a,product(b,c)))
    | product(product(A,C),product(a,product(b,c))) = product(product(A,a),product(C,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,a),product(C,product(b,c))))),bind(Y,$fot(product(product(A,C),product(a,product(b,c)))))]]) ).

cnf(refute_0_4408,plain,
    product(product(A,C),product(a,product(b,c))) = product(product(A,a),product(C,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(b,c))),product(product(A,C),product(a,product(b,c)))) )],[refute_0_4406,refute_0_4407]) ).

cnf(refute_0_4409,plain,
    product(product(b,b),product(a,product(b,c))) = product(product(b,a),product(b,product(b,c))),
    inference(subst,[],[refute_0_4408:[bind(A,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_4410,plain,
    ( product(product(b,a),product(b,product(b,c))) != product(b,product(a,product(b,c)))
    | product(product(b,b),product(a,product(b,c))) != product(product(b,a),product(b,product(b,c)))
    | product(product(b,b),product(a,product(b,c))) = product(b,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,b),product(a,product(b,c))))),bind(Y,$fot(product(product(b,a),product(b,product(b,c))))),bind(Z,$fot(product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_4411,plain,
    ( product(product(b,a),product(b,product(b,c))) != product(b,product(a,product(b,c)))
    | product(product(b,b),product(a,product(b,c))) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(a,product(b,c))),product(product(b,a),product(b,product(b,c)))) )],[refute_0_4409,refute_0_4410]) ).

cnf(refute_0_4412,plain,
    product(product(b,b),product(a,product(b,c))) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,product(b,c))),product(b,product(a,product(b,c)))) )],[refute_0_4323,refute_0_4411]) ).

cnf(refute_0_4413,plain,
    product(product(A,product(a,c)),product(C,c)) = product(product(A,C),product(product(a,c),c)),
    inference(subst,[],[sos05:[bind(B,$fot(product(a,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_4414,plain,
    ( product(product(A,product(a,c)),product(C,c)) != product(product(A,C),product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | product(product(A,product(a,c)),product(C,c)) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(a,c)),product(C,c)),product(product(A,C),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_4415,plain,
    ( product(product(A,product(a,c)),product(C,c)) != product(product(A,C),product(product(a,c),c))
    | product(product(A,product(a,c)),product(C,c)) = product(product(A,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_4414]) ).

cnf(refute_0_4416,plain,
    product(product(A,product(a,c)),product(C,c)) = product(product(A,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,c)),product(C,c)),product(product(A,C),product(product(a,c),c))) )],[refute_0_4413,refute_0_4415]) ).

cnf(refute_0_4417,plain,
    product(product(b,product(a,c)),product(b,c)) = product(product(b,b),product(a,product(b,c))),
    inference(subst,[],[refute_0_4416:[bind(A,$fot(b)),bind(C,$fot(b))]]) ).

cnf(refute_0_4418,plain,
    ( product(product(b,b),product(a,product(b,c))) != product(b,product(a,product(b,c)))
    | product(product(b,product(a,c)),product(b,c)) != product(product(b,b),product(a,product(b,c)))
    | product(product(b,product(a,c)),product(b,c)) = product(b,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(b,c)))),bind(Y,$fot(product(product(b,b),product(a,product(b,c))))),bind(Z,$fot(product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_4419,plain,
    ( product(product(b,b),product(a,product(b,c))) != product(b,product(a,product(b,c)))
    | product(product(b,product(a,c)),product(b,c)) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(b,c)),product(product(b,b),product(a,product(b,c)))) )],[refute_0_4417,refute_0_4418]) ).

cnf(refute_0_4420,plain,
    product(product(b,product(a,c)),product(b,c)) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(a,product(b,c))),product(b,product(a,product(b,c)))) )],[refute_0_4412,refute_0_4419]) ).

cnf(refute_0_4421,plain,
    ( bigC(b,product(b,c),product(c,a)) != product(product(b,product(a,c)),product(b,c))
    | product(product(b,product(a,c)),product(b,c)) != product(b,product(a,product(b,c)))
    | bigC(b,product(b,c),product(c,a)) = product(b,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(b,c),product(c,a)),product(b,product(a,product(b,c)))) ),[0],$fot(product(product(b,product(a,c)),product(b,c)))]]) ).

cnf(refute_0_4422,plain,
    ( bigC(b,product(b,c),product(c,a)) != product(product(b,product(a,c)),product(b,c))
    | bigC(b,product(b,c),product(c,a)) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(b,c)),product(b,product(a,product(b,c)))) )],[refute_0_4420,refute_0_4421]) ).

cnf(refute_0_4423,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(product(b,product(a,c)),product(b,c))
    | bigC(b,product(b,c),product(c,a)) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),product(c,a)),product(product(b,product(a,c)),product(b,c))) )],[refute_0_4322,refute_0_4422]) ).

cnf(refute_0_4424,plain,
    bigC(b,product(b,c),product(c,a)) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(product(b,product(a,c)),product(b,c))) )],[refute_0_4315,refute_0_4423]) ).

cnf(refute_0_4425,plain,
    ( bigC(b,product(b,c),product(c,a)) != product(b,product(a,product(b,c)))
    | bigC(b,product(c,a),product(b,c)) != bigC(b,product(b,c),product(c,a))
    | bigC(b,product(c,a),product(b,c)) = product(b,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(c,a),product(b,c)))),bind(Y,$fot(bigC(b,product(b,c),product(c,a)))),bind(Z,$fot(product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_4426,plain,
    ( bigC(b,product(b,c),product(c,a)) != product(b,product(a,product(b,c)))
    | bigC(b,product(c,a),product(b,c)) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(b,c)),bigC(b,product(b,c),product(c,a))) )],[refute_0_4316,refute_0_4425]) ).

cnf(refute_0_4427,plain,
    bigC(b,product(c,a),product(b,c)) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),product(c,a)),product(b,product(a,product(b,c)))) )],[refute_0_4424,refute_0_4426]) ).

cnf(refute_0_4428,plain,
    ( bigC(b,product(c,a),product(b,c)) != product(b,product(a,product(b,c)))
    | bigC(product(b,c),c,product(b,c)) != bigC(b,product(c,a),product(b,c))
    | bigC(product(b,c),c,product(b,c)) = product(b,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),c,product(b,c)))),bind(Y,$fot(bigC(b,product(c,a),product(b,c)))),bind(Z,$fot(product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_4429,plain,
    ( bigC(b,product(c,a),product(b,c)) != product(b,product(a,product(b,c)))
    | bigC(product(b,c),c,product(b,c)) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),bigC(b,product(c,a),product(b,c))) )],[refute_0_4317,refute_0_4428]) ).

cnf(refute_0_4430,plain,
    bigC(product(b,c),c,product(b,c)) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(b,c)),product(b,product(a,product(b,c)))) )],[refute_0_4427,refute_0_4429]) ).

cnf(refute_0_4431,plain,
    difference(c,product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))]]) ).

cnf(refute_0_4432,plain,
    ( difference(c,product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) != difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))
    | product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(a,b,b)
    | difference(c,bigC(a,b,b)) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),[0,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4433,plain,
    ( difference(c,product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) != difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))
    | difference(c,bigC(a,b,b)) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(a,b,b)) )],[refute_0_4304,refute_0_4432]) ).

cnf(refute_0_4434,plain,
    difference(c,bigC(a,b,b)) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) )],[refute_0_4431,refute_0_4433]) ).

cnf(refute_0_4435,plain,
    difference(c,bigC(b,a,b)) = difference(c,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(c,bigC(b,a,b)))]]) ).

cnf(refute_0_4436,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(c,bigC(b,a,b)) != difference(c,bigC(b,a,b))
    | difference(c,bigC(b,a,b)) = difference(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(b,a,b)),difference(c,bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4437,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(c,bigC(b,a,b)) = difference(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),difference(c,bigC(b,a,b))) )],[refute_0_4435,refute_0_4436]) ).

cnf(refute_0_4438,plain,
    difference(c,bigC(b,a,b)) = difference(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_4437]) ).

cnf(refute_0_4439,plain,
    ( difference(c,bigC(b,a,b)) != difference(c,bigC(a,b,b))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | difference(c,bigC(a,b,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) ),[0],$fot(difference(c,bigC(a,b,b)))]]) ).

cnf(refute_0_4440,plain,
    ( difference(c,bigC(b,a,b)) != product(b,c)
    | difference(c,bigC(a,b,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),difference(c,bigC(a,b,b))) )],[refute_0_4438,refute_0_4439]) ).

cnf(refute_0_4441,plain,
    difference(c,bigC(a,b,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_4440]) ).

cnf(refute_0_4442,plain,
    ( difference(c,bigC(a,b,b)) != difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))
    | difference(c,bigC(a,b,b)) != product(b,c)
    | product(b,c) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,b,b)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_4443,plain,
    ( difference(c,bigC(a,b,b)) != difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))
    | product(b,c) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,b)),product(b,c)) )],[refute_0_4441,refute_0_4442]) ).

cnf(refute_0_4444,plain,
    product(b,c) = difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,b)),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) )],[refute_0_4434,refute_0_4443]) ).

cnf(refute_0_4445,plain,
    ( product(b,c) != difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))
    | difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))]]) ).

cnf(refute_0_4446,plain,
    difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) )],[refute_0_4444,refute_0_4445]) ).

cnf(refute_0_4447,plain,
    bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    introduced(tautology,[refl,[$fot(bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))]]) ).

cnf(refute_0_4448,plain,
    ( bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) != product(b,c)
    | bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) ),[1,2],$fot(product(b,c))]]) ).

cnf(refute_0_4449,plain,
    ( difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) != product(b,c)
    | bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4447,refute_0_4448]) ).

cnf(refute_0_4450,plain,
    bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(b,c)) )],[refute_0_4446,refute_0_4449]) ).

cnf(refute_0_4451,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    introduced(tautology,[refl,[$fot(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))]]) ).

cnf(refute_0_4452,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) != product(b,c)
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4453,plain,
    ( difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) != product(b,c)
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4451,refute_0_4452]) ).

cnf(refute_0_4454,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(b,c)) )],[refute_0_4446,refute_0_4453]) ).

cnf(refute_0_4455,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))
    | bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(product(b,c),c,product(b,c))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))),bind(Y,$fot(bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))),bind(Z,$fot(bigC(product(b,c),c,product(b,c))))]]) ).

cnf(refute_0_4456,plain,
    ( bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(product(b,c),c,product(b,c))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))))) )],[refute_0_4454,refute_0_4455]) ).

cnf(refute_0_4457,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = bigC(product(b,c),c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(product(b,c),c,product(b,c))) )],[refute_0_4450,refute_0_4456]) ).

cnf(refute_0_4458,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != bigC(product(b,c),c,product(b,c))
    | bigC(product(b,c),c,product(b,c)) != product(b,product(a,product(b,c)))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = product(b,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))))),bind(Y,$fot(bigC(product(b,c),c,product(b,c)))),bind(Z,$fot(product(b,product(a,product(b,c)))))]]) ).

cnf(refute_0_4459,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(b,product(a,product(b,c)))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = product(b,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),bigC(product(b,c),c,product(b,c))) )],[refute_0_4457,refute_0_4458]) ).

cnf(refute_0_4460,plain,
    bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) = product(b,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(b,product(a,product(b,c)))) )],[refute_0_4430,refute_0_4459]) ).

cnf(refute_0_4461,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != product(b,product(a,product(b,c)))
    | bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | product(b,product(a,product(b,c))) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) ),[0],$fot(product(b,product(a,product(b,c))))]]) ).

cnf(refute_0_4462,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | product(b,product(a,product(b,c))) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),product(b,product(a,product(b,c)))) )],[refute_0_4460,refute_0_4461]) ).

cnf(refute_0_4463,plain,
    product(bigC(c,b,b),c) = product(bigC(c,b,b),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),c))]]) ).

cnf(refute_0_4464,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),c) != product(bigC(c,b,b),c)
    | product(bigC(c,b,b),c) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),c),product(bigC(c,b,b),c)) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_4465,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),c) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),c),product(bigC(c,b,b),c)) )],[refute_0_4463,refute_0_4464]) ).

cnf(refute_0_4466,plain,
    product(bigC(c,b,b),c) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_4465]) ).

cnf(refute_0_4467,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(c,b,b),c)
    | product(bigC(c,b,b),c) != product(bigC(b,b,c),c)
    | bigC(b,c,product(b,a)) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,c,product(b,a)),product(bigC(b,b,c),c)) ),[0],$fot(product(bigC(c,b,b),c))]]) ).

cnf(refute_0_4468,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(c,b,b),c)
    | bigC(b,c,product(b,a)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),c),product(bigC(b,b,c),c)) )],[refute_0_4466,refute_0_4467]) ).

cnf(refute_0_4469,plain,
    bigC(b,c,product(b,a)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,a)),product(bigC(c,b,b),c)) )],[refute_0_3537,refute_0_4468]) ).

cnf(refute_0_4470,plain,
    bigC(b,X_22,quotient(bigC(a,b,b),b)) = product(product(b,X_22),bigC(a,b,b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(a,b,b))),bind(X_21,$fot(b))]]) ).

cnf(refute_0_4471,plain,
    quotient(bigC(b,a,b),b) = product(b,a),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(b)),bind(X_77,$fot(a))]]) ).

cnf(refute_0_4472,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),b) != product(b,a)
    | quotient(bigC(a,b,b),b) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),b),product(b,a)) ),[0,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_4473,plain,
    ( quotient(bigC(b,a,b),b) != product(b,a)
    | quotient(bigC(a,b,b),b) = product(b,a) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_4472]) ).

cnf(refute_0_4474,plain,
    quotient(bigC(a,b,b),b) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),b),product(b,a)) )],[refute_0_4471,refute_0_4473]) ).

cnf(refute_0_4475,plain,
    ( bigC(b,X_22,quotient(bigC(a,b,b),b)) != product(product(b,X_22),bigC(a,b,b))
    | quotient(bigC(a,b,b),b) != product(b,a)
    | bigC(b,X_22,product(b,a)) = product(product(b,X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,X_22,quotient(bigC(a,b,b),b)),product(product(b,X_22),bigC(a,b,b))) ),[0,2],$fot(product(b,a))]]) ).

cnf(refute_0_4476,plain,
    ( bigC(b,X_22,quotient(bigC(a,b,b),b)) != product(product(b,X_22),bigC(a,b,b))
    | bigC(b,X_22,product(b,a)) = product(product(b,X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),b),product(b,a)) )],[refute_0_4474,refute_0_4475]) ).

cnf(refute_0_4477,plain,
    bigC(b,X_22,product(b,a)) = product(product(b,X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,quotient(bigC(a,b,b),b)),product(product(b,X_22),bigC(a,b,b))) )],[refute_0_4470,refute_0_4476]) ).

cnf(refute_0_4478,plain,
    ( bigC(b,X_22,product(b,a)) != product(product(b,X_22),bigC(a,b,b))
    | product(product(b,X_22),bigC(a,b,b)) = bigC(b,X_22,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,X_22,product(b,a)))),bind(Y,$fot(product(product(b,X_22),bigC(a,b,b))))]]) ).

cnf(refute_0_4479,plain,
    product(product(b,X_22),bigC(a,b,b)) = bigC(b,X_22,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,product(b,a)),product(product(b,X_22),bigC(a,b,b))) )],[refute_0_4477,refute_0_4478]) ).

cnf(refute_0_4480,plain,
    product(product(b,c),bigC(a,b,b)) = bigC(b,c,product(b,a)),
    inference(subst,[],[refute_0_4479:[bind(X_22,$fot(c))]]) ).

cnf(refute_0_4481,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(b,b,c),c)
    | product(product(b,c),bigC(a,b,b)) != bigC(b,c,product(b,a))
    | product(product(b,c),bigC(a,b,b)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),bigC(a,b,b)))),bind(Y,$fot(bigC(b,c,product(b,a)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_4482,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(b,b,c),c)
    | product(product(b,c),bigC(a,b,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,b,b)),bigC(b,c,product(b,a))) )],[refute_0_4480,refute_0_4481]) ).

cnf(refute_0_4483,plain,
    product(product(b,c),bigC(a,b,b)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,a)),product(bigC(b,b,c),c)) )],[refute_0_4469,refute_0_4482]) ).

cnf(refute_0_4484,plain,
    product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)))]]) ).

cnf(refute_0_4485,plain,
    ( difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) != product(b,c)
    | product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(product(b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4486,plain,
    ( difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))) != product(b,c)
    | product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(product(b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) )],[refute_0_4484,refute_0_4485]) ).

cnf(refute_0_4487,plain,
    product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(product(b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),product(b,c)) )],[refute_0_4446,refute_0_4486]) ).

cnf(refute_0_4488,plain,
    ( product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) != product(product(b,c),bigC(a,b,b))
    | product(product(b,c),bigC(a,b,b)) != product(bigC(b,b,c),c)
    | product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)))),bind(Y,$fot(product(product(b,c),bigC(a,b,b)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_4489,plain,
    ( product(product(b,c),bigC(a,b,b)) != product(bigC(b,b,c),c)
    | product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),product(product(b,c),bigC(a,b,b))) )],[refute_0_4487,refute_0_4488]) ).

cnf(refute_0_4490,plain,
    product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,b,b)),product(bigC(b,b,c),c)) )],[refute_0_4483,refute_0_4489]) ).

cnf(refute_0_4491,plain,
    ( product(b,product(a,product(b,c))) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)) != product(bigC(b,b,c),c)
    | product(b,product(a,product(b,c))) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) ),[0],$fot(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)))]]) ).

cnf(refute_0_4492,plain,
    ( product(b,product(a,product(b,c))) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | product(b,product(a,product(b,c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b)),product(bigC(b,b,c),c)) )],[refute_0_4490,refute_0_4491]) ).

cnf(refute_0_4493,plain,
    ( bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))) != product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))
    | product(b,product(a,product(b,c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) )],[refute_0_4462,refute_0_4492]) ).

cnf(refute_0_4494,plain,
    product(b,product(a,product(b,c))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),c,difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c))))),product(difference(difference(c,product(b,c)),product(product(b,a),difference(c,product(b,c)))),bigC(a,b,b))) )],[refute_0_4311,refute_0_4493]) ).

cnf(refute_0_4495,plain,
    product(product(b,product(a,product(b,c))),c) = product(product(b,product(a,product(b,c))),c),
    introduced(tautology,[refl,[$fot(product(product(b,product(a,product(b,c))),c))]]) ).

cnf(refute_0_4496,plain,
    ( product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | product(product(b,product(a,product(b,c))),c) != product(product(b,product(a,product(b,c))),c)
    | product(product(b,product(a,product(b,c))),c) = product(product(bigC(b,b,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(product(b,product(a,product(b,c))),c)) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_4497,plain,
    ( product(b,product(a,product(b,c))) != product(bigC(b,b,c),c)
    | product(product(b,product(a,product(b,c))),c) = product(product(bigC(b,b,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(product(b,product(a,product(b,c))),c)) )],[refute_0_4495,refute_0_4496]) ).

cnf(refute_0_4498,plain,
    product(product(b,product(a,product(b,c))),c) = product(product(bigC(b,b,c),c),c),
    inference(resolve,[$cnf( $equal(product(b,product(a,product(b,c))),product(bigC(b,b,c),c)) )],[refute_0_4494,refute_0_4497]) ).

cnf(refute_0_4499,plain,
    ( product(product(b,product(a,product(b,c))),c) != bigC(c,c,product(b,product(c,a)))
    | product(product(b,product(a,product(b,c))),c) != product(product(bigC(b,b,c),c),c)
    | product(product(bigC(b,b,c),c),c) = bigC(c,c,product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),bigC(c,c,product(b,product(c,a)))) ),[0],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_4500,plain,
    ( product(product(b,product(a,product(b,c))),c) != bigC(c,c,product(b,product(c,a)))
    | product(product(bigC(b,b,c),c),c) = bigC(c,c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),product(product(bigC(b,b,c),c),c)) )],[refute_0_4498,refute_0_4499]) ).

cnf(refute_0_4501,plain,
    product(product(bigC(b,b,c),c),c) = bigC(c,c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(b,c))),c),bigC(c,c,product(b,product(c,a)))) )],[refute_0_4184,refute_0_4500]) ).

cnf(refute_0_4502,plain,
    ( product(product(bigC(b,b,c),c),c) != bigC(c,c,product(b,product(c,a)))
    | bigC(c,c,product(b,product(c,a))) = product(product(bigC(b,b,c),c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(b,b,c),c),c))),bind(Y,$fot(bigC(c,c,product(b,product(c,a)))))]]) ).

cnf(refute_0_4503,plain,
    bigC(c,c,product(b,product(c,a))) = product(product(bigC(b,b,c),c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),c),bigC(c,c,product(b,product(c,a)))) )],[refute_0_4501,refute_0_4502]) ).

cnf(refute_0_4504,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(c,product(b,product(a,product(a,c))))
    | bigC(c,c,product(b,product(c,a))) != product(product(bigC(b,b,c),c),c)
    | product(product(bigC(b,b,c),c),c) = product(c,product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(c,product(b,product(a,product(a,c))))) ),[0],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_4505,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(c,product(b,product(a,product(a,c))))
    | product(product(bigC(b,b,c),c),c) = product(c,product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(product(bigC(b,b,c),c),c)) )],[refute_0_4503,refute_0_4504]) ).

cnf(refute_0_4506,plain,
    product(product(bigC(b,b,c),c),c) = product(c,product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(c,product(b,product(a,product(a,c))))) )],[refute_0_3916,refute_0_4505]) ).

cnf(refute_0_4507,plain,
    ( product(product(bigC(b,b,c),c),c) != product(c,product(b,product(a,product(a,c))))
    | product(c,product(b,product(a,product(a,c)))) = product(product(bigC(b,b,c),c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(b,b,c),c),c))),bind(Y,$fot(product(c,product(b,product(a,product(a,c))))))]]) ).

cnf(refute_0_4508,plain,
    product(c,product(b,product(a,product(a,c)))) = product(product(bigC(b,b,c),c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),c),product(c,product(b,product(a,product(a,c))))) )],[refute_0_4506,refute_0_4507]) ).

cnf(refute_0_4509,plain,
    ( product(c,product(b,product(a,product(a,c)))) != product(product(bigC(b,b,c),c),c)
    | quotient(quotient(c,product(c,product(b,product(a,product(a,c))))),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = difference(c,product(product(b,product(a,product(a,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,product(b,product(a,product(a,c))))),c),difference(c,product(product(b,product(a,product(a,c))),c))) ),[0,0,1],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_4510,plain,
    ( quotient(quotient(c,product(c,product(b,product(a,product(a,c))))),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = difference(c,product(product(b,product(a,product(a,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,product(a,c)))),product(product(bigC(b,b,c),c),c)) )],[refute_0_4508,refute_0_4509]) ).

cnf(refute_0_4511,plain,
    quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = difference(c,product(product(b,product(a,product(a,c))),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,product(b,product(a,product(a,c))))),c),difference(c,product(product(b,product(a,product(a,c))),c))) )],[refute_0_2651,refute_0_4510]) ).

cnf(refute_0_4512,plain,
    quotient(product(product(product(product(b,c),a),c),c),c) = product(product(product(b,c),a),c),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(product(b,c),a),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_4513,plain,
    quotient(c,product(c,product(c,product(product(b,c),a)))) = product(product(product(product(b,c),a),c),c),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(b,c),a))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_4514,plain,
    product(product(b,product(a,c)),difference(product(b,product(a,c)),product(b,product(a,product(a,c))))) = product(b,product(a,product(a,c))),
    inference(subst,[],[sos02:[bind(A,$fot(product(b,product(a,c)))),bind(B,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_4515,plain,
    difference(product(b,product(a,c)),difference(product(c,product(b,product(a,c))),product(b,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(b,product(a,c)))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_4516,plain,
    ( difference(product(b,product(a,c)),difference(product(c,product(b,product(a,c))),product(b,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | product(c,product(b,product(a,c))) != product(bigC(b,a,b),c)
    | difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(c,product(b,product(a,c))),product(b,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) ),[0,1,0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_4517,plain,
    ( difference(product(b,product(a,c)),difference(product(c,product(b,product(a,c))),product(b,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,c))),product(bigC(b,a,b),c)) )],[refute_0_2810,refute_0_4516]) ).

cnf(refute_0_4518,plain,
    difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(c,product(b,product(a,c))),product(b,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) )],[refute_0_4515,refute_0_4517]) ).

cnf(refute_0_4519,plain,
    difference(product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(bigC(a,a,b))),bind(X_16,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4520,plain,
    product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)))]]) ).

cnf(refute_0_4521,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) != product(bigC(a,b,a),product(difference(product(a,b),X_43),c))
    | product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(bigC(a,a,b),product(difference(product(a,b),X_43),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),product(bigC(a,b,a),product(difference(product(a,b),X_43),c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4522,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(bigC(a,a,b),product(difference(product(a,b),X_43),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),product(bigC(a,b,a),product(difference(product(a,b),X_43),c))) )],[refute_0_4520,refute_0_4521]) ).

cnf(refute_0_4523,plain,
    product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) = product(bigC(a,a,b),product(difference(product(a,b),X_43),c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_4522]) ).

cnf(refute_0_4524,plain,
    ( product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) != product(X_43,product(a,c))
    | product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) != product(bigC(a,a,b),product(difference(product(a,b),X_43),c))
    | product(bigC(a,a,b),product(difference(product(a,b),X_43),c)) = product(X_43,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),product(X_43,product(a,c))) ),[0],$fot(product(bigC(a,a,b),product(difference(product(a,b),X_43),c)))]]) ).

cnf(refute_0_4525,plain,
    ( product(bigC(a,b,a),product(difference(product(a,b),X_43),c)) != product(X_43,product(a,c))
    | product(bigC(a,a,b),product(difference(product(a,b),X_43),c)) = product(X_43,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),product(bigC(a,a,b),product(difference(product(a,b),X_43),c))) )],[refute_0_4523,refute_0_4524]) ).

cnf(refute_0_4526,plain,
    product(bigC(a,a,b),product(difference(product(a,b),X_43),c)) = product(X_43,product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(difference(product(a,b),X_43),c)),product(X_43,product(a,c))) )],[refute_0_850,refute_0_4525]) ).

cnf(refute_0_4527,plain,
    product(bigC(a,a,b),product(difference(product(a,b),product(c,b)),c)) = product(product(c,b),product(a,c)),
    inference(subst,[],[refute_0_4526:[bind(X_43,$fot(product(c,b)))]]) ).

cnf(refute_0_4528,plain,
    difference(product(a,b),product(product(a,b),product(b,bigC(c,a,b)))) = product(b,bigC(c,a,b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_4529,plain,
    ( difference(product(a,b),product(product(a,b),product(b,bigC(c,a,b)))) != product(b,bigC(c,a,b))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | difference(product(a,b),product(c,b)) = product(b,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),product(b,bigC(c,a,b)))),product(b,bigC(c,a,b))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_4530,plain,
    ( difference(product(a,b),product(product(a,b),product(b,bigC(c,a,b)))) != product(b,bigC(c,a,b))
    | difference(product(a,b),product(c,b)) = product(b,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_4529]) ).

cnf(refute_0_4531,plain,
    difference(product(a,b),product(c,b)) = product(b,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),product(b,bigC(c,a,b)))),product(b,bigC(c,a,b))) )],[refute_0_4528,refute_0_4530]) ).

cnf(refute_0_4532,plain,
    ( difference(product(a,b),product(c,b)) != product(b,bigC(c,a,b))
    | product(bigC(a,a,b),product(difference(product(a,b),product(c,b)),c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(c,b)),c)),product(product(c,b),product(a,c))) ),[0,1,0],$fot(product(b,bigC(c,a,b)))]]) ).

cnf(refute_0_4533,plain,
    ( product(bigC(a,a,b),product(difference(product(a,b),product(c,b)),c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,b)),product(b,bigC(c,a,b))) )],[refute_0_4531,refute_0_4532]) ).

cnf(refute_0_4534,plain,
    product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(c,b)),c)),product(product(c,b),product(a,c))) )],[refute_0_4527,refute_0_4533]) ).

cnf(refute_0_4535,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(product(c,b),product(a,c))
    | product(product(c,b),product(a,c)) != bigC(c,a,b)
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) ),[0],$fot(product(product(c,b),product(a,c)))]]) ).

cnf(refute_0_4536,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_467,refute_0_4535]) ).

cnf(refute_0_4537,plain,
    product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(c,b),product(a,c))) )],[refute_0_4534,refute_0_4536]) ).

cnf(refute_0_4538,plain,
    ( difference(product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) ),[0,0,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_4539,plain,
    ( difference(product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) )],[refute_0_4537,refute_0_4538]) ).

cnf(refute_0_4540,plain,
    difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) )],[refute_0_4519,refute_0_4539]) ).

cnf(refute_0_4541,plain,
    bigC(product(b,a),product(bigC(c,a,b),a),c) = bigC(product(b,a),c,product(bigC(c,a,b),a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(b,a))),bind(B,$fot(c)),bind(C,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_4542,plain,
    product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = bigC(product(b,a),product(bigC(c,a,b),a),c),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(bigC(c,a,b))),bind(X_66,$fot(a))]]) ).

cnf(refute_0_4543,plain,
    ( bigC(product(b,a),product(bigC(c,a,b),a),c) != bigC(product(b,a),c,product(bigC(c,a,b),a))
    | product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != bigC(product(b,a),product(bigC(c,a,b),a),c)
    | product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = bigC(product(b,a),c,product(bigC(c,a,b),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))),bind(Y,$fot(bigC(product(b,a),product(bigC(c,a,b),a),c))),bind(Z,$fot(bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_4544,plain,
    ( bigC(product(b,a),product(bigC(c,a,b),a),c) != bigC(product(b,a),c,product(bigC(c,a,b),a))
    | product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = bigC(product(b,a),c,product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),bigC(product(b,a),product(bigC(c,a,b),a),c)) )],[refute_0_4542,refute_0_4543]) ).

cnf(refute_0_4545,plain,
    product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) = bigC(product(b,a),c,product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(bigC(c,a,b),a),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) )],[refute_0_4541,refute_0_4544]) ).

cnf(refute_0_4546,plain,
    product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))]]) ).

cnf(refute_0_4547,plain,
    ( product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != bigC(product(b,a),c,product(bigC(c,a,b),a))
    | product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) ),[1,1],$fot(bigC(product(b,a),c,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_4548,plain,
    ( product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)) != bigC(product(b,a),c,product(bigC(c,a,b),a))
    | product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) )],[refute_0_4546,refute_0_4547]) ).

cnf(refute_0_4549,plain,
    product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)),bigC(product(b,a),c,product(bigC(c,a,b),a))) )],[refute_0_4545,refute_0_4548]) ).

cnf(refute_0_4550,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[0],$fot(product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))))]]) ).

cnf(refute_0_4551,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b))),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_4549,refute_0_4550]) ).

cnf(refute_0_4552,plain,
    difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(product(b,bigC(c,a,b)),c),product(product(product(b,bigC(c,a,b)),c),bigC(a,a,b)))) )],[refute_0_4540,refute_0_4551]) ).

cnf(refute_0_4553,plain,
    product(product(b,bigC(c,a,b)),c) = product(product(b,bigC(c,a,b)),c),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(c,a,b)),c))]]) ).

cnf(refute_0_4554,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),c) != product(product(b,bigC(c,a,b)),c)
    | product(product(b,bigC(c,a,b)),c) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,bigC(c,a,b)),c)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4555,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),c) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,bigC(c,a,b)),c)) )],[refute_0_4553,refute_0_4554]) ).

cnf(refute_0_4556,plain,
    product(product(b,bigC(c,a,b)),c) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_4555]) ).

cnf(refute_0_4557,plain,
    difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4558,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) != difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c))
    | product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_4559,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c))) )],[refute_0_4557,refute_0_4558]) ).

cnf(refute_0_4560,plain,
    difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_4556,refute_0_4559]) ).

cnf(refute_0_4561,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(c,c,b),c) != product(bigC(c,c,b),c)
    | product(bigC(c,c,b),c) = product(bigC(c,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,b),c),product(bigC(c,c,b),c)) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_4562,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(c,c,b),c) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),c),product(bigC(c,c,b),c)) )],[refute_0_2798,refute_0_4561]) ).

cnf(refute_0_4563,plain,
    product(bigC(c,c,b),c) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_4562]) ).

cnf(refute_0_4564,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,c,b),c)
    | product(bigC(c,c,b),c) != product(bigC(c,b,c),c)
    | bigC(c,c,product(b,c)) = product(bigC(c,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,product(b,c)))),bind(Y,$fot(product(bigC(c,c,b),c))),bind(Z,$fot(product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_4565,plain,
    ( product(bigC(c,c,b),c) != product(bigC(c,b,c),c)
    | bigC(c,c,product(b,c)) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(bigC(c,c,b),c)) )],[refute_0_2802,refute_0_4564]) ).

cnf(refute_0_4566,plain,
    bigC(c,c,product(b,c)) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),c),product(bigC(c,b,c),c)) )],[refute_0_4563,refute_0_4565]) ).

cnf(refute_0_4567,plain,
    product(c,product(product(b,c),c)) = bigC(c,c,product(b,c)),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(c)),bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_4568,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | product(c,product(product(b,c),c)) != bigC(c,c,product(b,c))
    | product(c,product(product(b,c),c)) = product(bigC(c,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(product(b,c),c)))),bind(Y,$fot(bigC(c,c,product(b,c)))),bind(Z,$fot(product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_4569,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | product(c,product(product(b,c),c)) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),c)),bigC(c,c,product(b,c))) )],[refute_0_4567,refute_0_4568]) ).

cnf(refute_0_4570,plain,
    product(c,product(product(b,c),c)) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(bigC(c,b,c),c)) )],[refute_0_4566,refute_0_4569]) ).

cnf(refute_0_4571,plain,
    product(c,product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4572,plain,
    ( product(c,product(product(b,bigC(c,a,b)),c)) != product(c,product(product(b,bigC(c,a,b)),c))
    | product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | product(c,product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,bigC(c,a,b)),c)),product(c,product(product(b,bigC(c,a,b)),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_4573,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | product(c,product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,bigC(c,a,b)),c)),product(c,product(product(b,bigC(c,a,b)),c))) )],[refute_0_4571,refute_0_4572]) ).

cnf(refute_0_4574,plain,
    product(c,product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_4556,refute_0_4573]) ).

cnf(refute_0_4575,plain,
    product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4576,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,bigC(c,a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4577,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,bigC(c,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_4575,refute_0_4576]) ).

cnf(refute_0_4578,plain,
    product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,bigC(c,a,b)),c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4577]) ).

cnf(refute_0_4579,plain,
    ( product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != product(c,product(product(b,bigC(c,a,b)),c))
    | product(c,product(product(b,bigC(c,a,b)),c)) != product(c,product(product(b,c),c))
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))),bind(Y,$fot(product(c,product(product(b,bigC(c,a,b)),c)))),bind(Z,$fot(product(c,product(product(b,c),c))))]]) ).

cnf(refute_0_4580,plain,
    ( product(c,product(product(b,bigC(c,a,b)),c)) != product(c,product(product(b,c),c))
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(c,product(product(b,bigC(c,a,b)),c))) )],[refute_0_4578,refute_0_4579]) ).

cnf(refute_0_4581,plain,
    product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(c,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,bigC(c,a,b)),c)),product(c,product(product(b,c),c))) )],[refute_0_4574,refute_0_4580]) ).

cnf(refute_0_4582,plain,
    ( product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != product(c,product(product(b,c),c))
    | product(c,product(product(b,c),c)) != product(bigC(c,b,c),c)
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))),bind(Y,$fot(product(c,product(product(b,c),c)))),bind(Z,$fot(product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_4583,plain,
    ( product(c,product(product(b,c),c)) != product(bigC(c,b,c),c)
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(c,product(product(b,c),c))) )],[refute_0_4581,refute_0_4582]) ).

cnf(refute_0_4584,plain,
    product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),c)),product(bigC(c,b,c),c)) )],[refute_0_4570,refute_0_4583]) ).

cnf(refute_0_4585,plain,
    difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4586,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))
    | product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(c,b,c),c)
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))) ),[1,0],$fot(product(bigC(c,b,c),c))]]) ).

cnf(refute_0_4587,plain,
    ( product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(c,b,c),c)
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c))) )],[refute_0_4585,refute_0_4586]) ).

cnf(refute_0_4588,plain,
    difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(c,b,c),c)) )],[refute_0_4584,refute_0_4587]) ).

cnf(refute_0_4589,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c))
    | difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) != difference(product(bigC(c,b,c),c),product(product(b,c),c))
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)))),bind(Y,$fot(difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)))),bind(Z,$fot(difference(product(bigC(c,b,c),c),product(product(b,c),c))))]]) ).

cnf(refute_0_4590,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)) != difference(product(bigC(c,b,c),c),product(product(b,c),c))
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c))) )],[refute_0_4588,refute_0_4589]) ).

cnf(refute_0_4591,plain,
    difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,b,c),c),product(product(b,c),c))) )],[refute_0_4560,refute_0_4590]) ).

cnf(refute_0_4592,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != difference(product(bigC(c,b,c),c),product(product(b,c),c))
    | difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[0],$fot(difference(product(bigC(c,b,c),c),product(product(b,c),c)))]]) ).

cnf(refute_0_4593,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),difference(product(bigC(c,b,c),c),product(product(b,c),c))) )],[refute_0_4591,refute_0_4592]) ).

cnf(refute_0_4594,plain,
    bigC(product(b,a),c,product(bigC(c,a,b),a)) = bigC(product(b,a),c,product(bigC(c,a,b),a)),
    introduced(tautology,[refl,[$fot(bigC(product(b,a),c,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_4595,plain,
    ( bigC(product(b,a),c,product(bigC(c,a,b),a)) != bigC(product(b,a),c,product(bigC(c,a,b),a))
    | product(bigC(c,a,b),a) != product(c,a)
    | bigC(product(b,a),c,product(bigC(c,a,b),a)) = bigC(product(b,a),c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),c,product(bigC(c,a,b),a)),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),[1,2],$fot(product(c,a))]]) ).

cnf(refute_0_4596,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | bigC(product(b,a),c,product(bigC(c,a,b),a)) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(bigC(c,a,b),a)),bigC(product(b,a),c,product(bigC(c,a,b),a))) )],[refute_0_4594,refute_0_4595]) ).

cnf(refute_0_4597,plain,
    bigC(product(b,a),c,product(bigC(c,a,b),a)) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_4596]) ).

cnf(refute_0_4598,plain,
    product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_4599,plain,
    ( bigC(product(b,a),c,product(bigC(c,a,b),a)) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[1,1],$fot(bigC(product(b,a),c,product(c,a)))]]) ).

cnf(refute_0_4600,plain,
    ( bigC(product(b,a),c,product(bigC(c,a,b),a)) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_4598,refute_0_4599]) ).

cnf(refute_0_4601,plain,
    product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(bigC(c,a,b),a)),bigC(product(b,a),c,product(c,a))) )],[refute_0_4597,refute_0_4600]) ).

cnf(refute_0_4602,plain,
    product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_4603,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) ),[1,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_4604,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_4602,refute_0_4603]) ).

cnf(refute_0_4605,plain,
    product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_4556,refute_0_4604]) ).

cnf(refute_0_4606,plain,
    ( product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))))),bind(Y,$fot(product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))))),bind(Z,$fot(product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))))]]) ).

cnf(refute_0_4607,plain,
    ( product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_4605,refute_0_4606]) ).

cnf(refute_0_4608,plain,
    product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) )],[refute_0_4601,refute_0_4607]) ).

cnf(refute_0_4609,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,c),c)) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) ),[0],$fot(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_4610,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,c),c)) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a))),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) )],[refute_0_4608,refute_0_4609]) ).

cnf(refute_0_4611,plain,
    ( difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_4593,refute_0_4610]) ).

cnf(refute_0_4612,plain,
    difference(product(bigC(c,b,c),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),product(product(product(b,bigC(c,a,b)),c),bigC(product(b,a),c,product(bigC(c,a,b),a)))) )],[refute_0_4552,refute_0_4611]) ).

cnf(refute_0_4613,plain,
    product(bigC(c,b,c),c) = product(bigC(c,b,c),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),c))]]) ).

cnf(refute_0_4614,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),c) != product(bigC(c,b,c),c)
    | product(bigC(c,b,c),c) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),c),product(bigC(c,b,c),c)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_4615,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),c) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),c),product(bigC(c,b,c),c)) )],[refute_0_4613,refute_0_4614]) ).

cnf(refute_0_4616,plain,
    product(bigC(c,b,c),c) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_4615]) ).

cnf(refute_0_4617,plain,
    difference(product(bigC(c,b,c),c),product(product(b,c),c)) = difference(product(bigC(c,b,c),c),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,c),c),product(product(b,c),c)))]]) ).

cnf(refute_0_4618,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,c),c)) != difference(product(bigC(c,b,c),c),product(product(b,c),c))
    | product(bigC(c,b,c),c) != product(bigC(b,a,b),c)
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),difference(product(bigC(c,b,c),c),product(product(b,c),c))) ),[1,0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_4619,plain,
    ( product(bigC(c,b,c),c) != product(bigC(b,a,b),c)
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),difference(product(bigC(c,b,c),c),product(product(b,c),c))) )],[refute_0_4617,refute_0_4618]) ).

cnf(refute_0_4620,plain,
    difference(product(bigC(c,b,c),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),c),product(bigC(b,a,b),c)) )],[refute_0_4616,refute_0_4619]) ).

cnf(refute_0_4621,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,c),c)) != difference(product(bigC(b,a,b),c),product(product(b,c),c))
    | difference(product(bigC(c,b,c),c),product(product(b,c),c)) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) ),[0],$fot(difference(product(bigC(b,a,b),c),product(product(b,c),c)))]]) ).

cnf(refute_0_4622,plain,
    ( difference(product(bigC(c,b,c),c),product(product(b,c),c)) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),difference(product(bigC(b,a,b),c),product(product(b,c),c))) )],[refute_0_4620,refute_0_4621]) ).

cnf(refute_0_4623,plain,
    difference(product(bigC(b,a,b),c),product(product(b,c),c)) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,c),c),product(product(b,c),c)),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) )],[refute_0_4612,refute_0_4622]) ).

cnf(refute_0_4624,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) = product(c,product(c,a)),
    inference(subst,[],[sos07:[bind(A,$fot(b)),bind(B,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_4625,plain,
    bigC(product(c,b),product(c,b),bigC(c,a,b)) = product(product(c,b),product(bigC(c,a,b),product(c,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(c,b))),bind(X_23,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_4626,plain,
    ( bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,b),product(bigC(c,a,b),product(c,b)))
    | product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | bigC(product(c,b),product(c,b),bigC(c,a,b)) = product(product(c,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),bigC(c,a,b)),product(product(c,b),product(bigC(c,a,b),product(c,b)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4627,plain,
    ( bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,b),product(bigC(c,a,b),product(c,b)))
    | bigC(product(c,b),product(c,b),bigC(c,a,b)) = product(product(c,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_4626]) ).

cnf(refute_0_4628,plain,
    bigC(product(c,b),product(c,b),bigC(c,a,b)) = product(product(c,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),bigC(c,a,b)),product(product(c,b),product(bigC(c,a,b),product(c,b)))) )],[refute_0_4625,refute_0_4627]) ).

cnf(refute_0_4629,plain,
    bigC(product(c,b),product(c,b),bigC(c,a,b)) = product(product(c,bigC(c,a,b)),bigC(b,b,c)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(c)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(b))]]) ).

cnf(refute_0_4630,plain,
    ( bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,b),product(product(c,a),b))
    | bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,bigC(c,a,b)),bigC(b,b,c))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(c,b),bigC(c,a,b)),product(product(c,b),product(product(c,a),b))) ),[0],$fot(product(product(c,bigC(c,a,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_4631,plain,
    ( bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),bigC(c,a,b)),product(product(c,bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_4629,refute_0_4630]) ).

cnf(refute_0_4632,plain,
    product(product(c,b),product(product(c,a),b)) = product(product(c,product(c,a)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(product(c,a))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_4633,plain,
    ( product(product(c,b),product(product(c,a),b)) != product(product(c,product(c,a)),b)
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(product(c,b),product(product(c,a),b))) ),[1],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_4634,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,a),b)),product(product(c,product(c,a)),b)) )],[refute_0_4632,refute_0_4633]) ).

cnf(refute_0_4635,plain,
    ( bigC(product(c,b),product(c,b),bigC(c,a,b)) != product(product(c,b),product(product(c,a),b))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(product(c,b),product(product(c,a),b))) )],[refute_0_4631,refute_0_4634]) ).

cnf(refute_0_4636,plain,
    product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),bigC(c,a,b)),product(product(c,b),product(product(c,a),b))) )],[refute_0_4628,refute_0_4635]) ).

cnf(refute_0_4637,plain,
    product(c,bigC(c,a,b)) = product(c,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,a,b)))]]) ).

cnf(refute_0_4638,plain,
    ( bigC(c,a,b) != c
    | product(c,bigC(c,a,b)) != product(c,bigC(c,a,b))
    | product(c,bigC(c,a,b)) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,a,b)),product(c,bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4639,plain,
    ( bigC(c,a,b) != c
    | product(c,bigC(c,a,b)) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,b)),product(c,bigC(c,a,b))) )],[refute_0_4637,refute_0_4638]) ).

cnf(refute_0_4640,plain,
    product(c,bigC(c,a,b)) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4639]) ).

cnf(refute_0_4641,plain,
    ( product(c,bigC(c,a,b)) != product(c,c)
    | product(c,c) != c
    | product(c,bigC(c,a,b)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,bigC(c,a,b)))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_4642,plain,
    ( product(c,c) != c
    | product(c,bigC(c,a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,b)),product(c,c)) )],[refute_0_4640,refute_0_4641]) ).

cnf(refute_0_4643,plain,
    product(c,bigC(c,a,b)) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_4642]) ).

cnf(refute_0_4644,plain,
    product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(product(c,bigC(c,a,b)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,a,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_4645,plain,
    ( product(c,bigC(c,a,b)) != c
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(product(c,bigC(c,a,b)),bigC(b,b,c))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(product(c,bigC(c,a,b)),bigC(b,b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4646,plain,
    ( product(c,bigC(c,a,b)) != c
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(product(c,bigC(c,a,b)),bigC(b,b,c))) )],[refute_0_4644,refute_0_4645]) ).

cnf(refute_0_4647,plain,
    product(product(c,bigC(c,a,b)),bigC(b,b,c)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,b)),c) )],[refute_0_4643,refute_0_4646]) ).

cnf(refute_0_4648,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(c,bigC(b,b,c))
    | product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(product(c,product(c,a)),b)
    | product(c,bigC(b,b,c)) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(product(c,product(c,a)),b)) ),[0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_4649,plain,
    ( product(product(c,bigC(c,a,b)),bigC(b,b,c)) != product(product(c,product(c,a)),b)
    | product(c,bigC(b,b,c)) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(c,bigC(b,b,c))) )],[refute_0_4647,refute_0_4648]) ).

cnf(refute_0_4650,plain,
    product(c,bigC(b,b,c)) = product(product(c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,b)),bigC(b,b,c)),product(product(c,product(c,a)),b)) )],[refute_0_4636,refute_0_4649]) ).

cnf(refute_0_4651,plain,
    ( product(c,bigC(b,b,c)) != product(product(c,product(c,a)),b)
    | product(product(c,product(c,a)),b) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(b,b,c)))),bind(Y,$fot(product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_4652,plain,
    product(product(c,product(c,a)),b) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,c)),product(product(c,product(c,a)),b)) )],[refute_0_4650,refute_0_4651]) ).

cnf(refute_0_4653,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) != product(c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))),product(c,product(c,a))) ),[0,1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_4654,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) != product(c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),b),product(c,bigC(b,b,c))) )],[refute_0_4652,refute_0_4653]) ).

cnf(refute_0_4655,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))),product(c,product(c,a))) )],[refute_0_4624,refute_0_4654]) ).

cnf(refute_0_4656,plain,
    bigC(product(b,a),product(c,a),c) = bigC(product(b,a),c,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(b,a))),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_4657,plain,
    product(product(product(b,c),c),bigC(a,a,b)) = bigC(product(b,a),product(c,a),c),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_4658,plain,
    ( bigC(product(b,a),product(c,a),c) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),bigC(a,a,b)) != bigC(product(b,a),product(c,a),c)
    | product(product(product(b,c),c),bigC(a,a,b)) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),c),bigC(a,a,b)))),bind(Y,$fot(bigC(product(b,a),product(c,a),c))),bind(Z,$fot(bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4659,plain,
    ( bigC(product(b,a),product(c,a),c) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),bigC(a,a,b)) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(a,a,b)),bigC(product(b,a),product(c,a),c)) )],[refute_0_4657,refute_0_4658]) ).

cnf(refute_0_4660,plain,
    product(product(product(b,c),c),bigC(a,a,b)) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,a),c),bigC(product(b,a),c,product(c,a))) )],[refute_0_4656,refute_0_4659]) ).

cnf(refute_0_4661,plain,
    product(product(bigC(c,a,b),a),product(a,b)) = product(product(bigC(c,a,b),a),product(a,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),product(a,b)))]]) ).

cnf(refute_0_4662,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(a,b)) != product(product(bigC(c,a,b),a),product(a,b))
    | product(product(bigC(c,a,b),a),product(a,b)) = product(product(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),product(a,b))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_4663,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(a,b)) = product(product(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(product(bigC(c,a,b),a),product(a,b))) )],[refute_0_4661,refute_0_4662]) ).

cnf(refute_0_4664,plain,
    product(product(bigC(c,a,b),a),product(a,b)) = product(product(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_4663]) ).

cnf(refute_0_4665,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | product(product(bigC(c,a,b),a),product(a,b)) != product(product(c,a),product(a,b))
    | product(product(c,a),product(a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) ),[0],$fot(product(product(c,a),product(a,b)))]]) ).

cnf(refute_0_4666,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | product(product(c,a),product(a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(product(c,a),product(a,b))) )],[refute_0_4664,refute_0_4665]) ).

cnf(refute_0_4667,plain,
    product(product(c,a),product(a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_584,refute_0_4666]) ).

cnf(refute_0_4668,plain,
    product(c,product(product(c,a),product(a,b))) = product(c,product(product(c,a),product(a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,a),product(a,b))))]]) ).

cnf(refute_0_4669,plain,
    ( product(c,product(product(c,a),product(a,b))) != product(c,product(product(c,a),product(a,b)))
    | product(product(c,a),product(a,b)) != product(a,c)
    | product(c,product(product(c,a),product(a,b))) = product(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,a),product(a,b))),product(c,product(product(c,a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_4670,plain,
    ( product(product(c,a),product(a,b)) != product(a,c)
    | product(c,product(product(c,a),product(a,b))) = product(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(a,b))),product(c,product(product(c,a),product(a,b)))) )],[refute_0_4668,refute_0_4669]) ).

cnf(refute_0_4671,plain,
    product(c,product(product(c,a),product(a,b))) = product(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),product(a,c)) )],[refute_0_4667,refute_0_4670]) ).

cnf(refute_0_4672,plain,
    product(product(c,c),product(product(c,a),product(a,b))) = product(product(c,c),product(product(c,a),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,a),product(a,b))))]]) ).

cnf(refute_0_4673,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),product(a,b))) != product(product(c,c),product(product(c,a),product(a,b)))
    | product(product(c,c),product(product(c,a),product(a,b))) = product(c,product(product(c,a),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,a),product(a,b))),product(product(c,c),product(product(c,a),product(a,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4674,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),product(a,b))) = product(c,product(product(c,a),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(a,b))),product(product(c,c),product(product(c,a),product(a,b)))) )],[refute_0_4672,refute_0_4673]) ).

cnf(refute_0_4675,plain,
    product(product(c,c),product(product(c,a),product(a,b))) = product(c,product(product(c,a),product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_4674]) ).

cnf(refute_0_4676,plain,
    ( product(c,product(product(c,a),product(a,b))) != product(c,product(a,c))
    | product(product(c,c),product(product(c,a),product(a,b))) != product(c,product(product(c,a),product(a,b)))
    | product(product(c,c),product(product(c,a),product(a,b))) = product(c,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(c,a),product(a,b))))),bind(Y,$fot(product(c,product(product(c,a),product(a,b))))),bind(Z,$fot(product(c,product(a,c))))]]) ).

cnf(refute_0_4677,plain,
    ( product(c,product(product(c,a),product(a,b))) != product(c,product(a,c))
    | product(product(c,c),product(product(c,a),product(a,b))) = product(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(a,b))),product(c,product(product(c,a),product(a,b)))) )],[refute_0_4675,refute_0_4676]) ).

cnf(refute_0_4678,plain,
    product(product(c,c),product(product(c,a),product(a,b))) = product(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(a,b))),product(c,product(a,c))) )],[refute_0_4671,refute_0_4677]) ).

cnf(refute_0_4679,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | product(product(c,c),product(product(c,a),product(a,b))) != product(c,product(a,c))
    | product(product(c,c),product(product(c,a),product(a,b))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(c,a),product(a,b))))),bind(Y,$fot(product(c,product(a,c)))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_4680,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | product(product(c,c),product(product(c,a),product(a,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(a,b))),product(c,product(a,c))) )],[refute_0_4678,refute_0_4679]) ).

cnf(refute_0_4681,plain,
    product(product(c,c),product(product(c,a),product(a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(a,a,b)) )],[refute_0_2622,refute_0_4680]) ).

cnf(refute_0_4682,plain,
    product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))))]]) ).

cnf(refute_0_4683,plain,
    ( product(product(c,c),product(product(c,a),product(a,b))) != bigC(a,a,b)
    | product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) != product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b))))
    | product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = product(product(product(b,c),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))),product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4684,plain,
    ( product(product(c,c),product(product(c,a),product(a,b))) != bigC(a,a,b)
    | product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = product(product(product(b,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))),product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b))))) )],[refute_0_4682,refute_0_4683]) ).

cnf(refute_0_4685,plain,
    product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = product(product(product(b,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(a,b))),bigC(a,a,b)) )],[refute_0_4681,refute_0_4684]) ).

cnf(refute_0_4686,plain,
    ( product(product(product(b,c),c),bigC(a,a,b)) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) != product(product(product(b,c),c),bigC(a,a,b))
    | product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))))),bind(Y,$fot(product(product(product(b,c),c),bigC(a,a,b)))),bind(Z,$fot(bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4687,plain,
    ( product(product(product(b,c),c),bigC(a,a,b)) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))),product(product(product(b,c),c),bigC(a,a,b))) )],[refute_0_4685,refute_0_4686]) ).

cnf(refute_0_4688,plain,
    product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(a,a,b)),bigC(product(b,a),c,product(c,a))) )],[refute_0_4660,refute_0_4687]) ).

cnf(refute_0_4689,plain,
    product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) = product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(product(b,c),c))),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(product(a,b)))]]) ).

cnf(refute_0_4690,plain,
    ( product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) != product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b))))
    | product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))))),bind(Y,$fot(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))))),bind(Z,$fot(bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4691,plain,
    ( product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))),product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b))))) )],[refute_0_4689,refute_0_4690]) ).

cnf(refute_0_4692,plain,
    product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(c,c),product(product(c,a),product(a,b)))),bigC(product(b,a),c,product(c,a))) )],[refute_0_4688,refute_0_4691]) ).

cnf(refute_0_4693,plain,
    product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))))),bind(C,$fot(c))]]) ).

cnf(refute_0_4694,plain,
    ( product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c) != product(product(b,c),c)
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) != product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(B,D))
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(b,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(B,D))) ),[1,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_4695,plain,
    ( product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) != product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(B,D))
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(b,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(product(b,c),c)) )],[refute_0_3192,refute_0_4694]) ).

cnf(refute_0_4696,plain,
    product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(b,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),c),product(B,D))) )],[refute_0_4693,refute_0_4695]) ).

cnf(refute_0_4697,plain,
    product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) = product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),
    introduced(tautology,[refl,[$fot(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B))]]) ).

cnf(refute_0_4698,plain,
    ( product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) != product(b,c)
    | product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) != product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B)
    | product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) = product(product(b,c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_4699,plain,
    ( product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) != product(b,c)
    | product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) = product(product(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B)) )],[refute_0_4697,refute_0_4698]) ).

cnf(refute_0_4700,plain,
    product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) = product(product(b,c),B),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),product(b,c)) )],[refute_0_3201,refute_0_4699]) ).

cnf(refute_0_4701,plain,
    product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)))]]) ).

cnf(refute_0_4702,plain,
    ( product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) != product(product(b,c),B)
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) != product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D))
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(b,c),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D))) ),[1,0],$fot(product(product(b,c),B))]]) ).

cnf(refute_0_4703,plain,
    ( product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B) != product(product(b,c),B)
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(b,c),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D))) )],[refute_0_4701,refute_0_4702]) ).

cnf(refute_0_4704,plain,
    product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) = product(product(product(b,c),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(product(b,c),B)) )],[refute_0_4700,refute_0_4703]) ).

cnf(refute_0_4705,plain,
    ( product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) != product(product(product(b,c),B),product(c,D))
    | product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) != product(product(product(b,c),c),product(B,D))
    | product(product(product(b,c),B),product(c,D)) = product(product(product(b,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(b,c),c),product(B,D))) ),[0],$fot(product(product(product(b,c),B),product(c,D)))]]) ).

cnf(refute_0_4706,plain,
    ( product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)) != product(product(product(b,c),c),product(B,D))
    | product(product(product(b,c),B),product(c,D)) = product(product(product(b,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(b,c),B),product(c,D))) )],[refute_0_4704,refute_0_4705]) ).

cnf(refute_0_4707,plain,
    product(product(product(b,c),B),product(c,D)) = product(product(product(b,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),B),product(c,D)),product(product(product(b,c),c),product(B,D))) )],[refute_0_4696,refute_0_4706]) ).

cnf(refute_0_4708,plain,
    product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))),
    inference(subst,[],[refute_0_4707:[bind(B,$fot(product(c,product(c,a)))),bind(D,$fot(product(c,product(a,b))))]]) ).

cnf(refute_0_4709,plain,
    ( product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) != product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b))))
    | product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))))),bind(Y,$fot(product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))))),bind(Z,$fot(bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4710,plain,
    ( product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))),product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b))))) )],[refute_0_4708,refute_0_4709]) ).

cnf(refute_0_4711,plain,
    product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(product(c,product(c,a)),product(c,product(a,b)))),bigC(product(b,a),c,product(c,a))) )],[refute_0_4692,refute_0_4710]) ).

cnf(refute_0_4712,plain,
    product(product(c,a),product(c,b)) = product(c,product(a,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_4713,plain,
    product(c,product(product(c,a),product(c,b))) = product(c,product(product(c,a),product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,a),product(c,b))))]]) ).

cnf(refute_0_4714,plain,
    ( product(c,product(product(c,a),product(c,b))) != product(c,product(product(c,a),product(c,b)))
    | product(product(c,a),product(c,b)) != product(c,product(a,b))
    | product(c,product(product(c,a),product(c,b))) = product(c,product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,a),product(c,b))),product(c,product(product(c,a),product(c,b)))) ),[1,1],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_4715,plain,
    ( product(product(c,a),product(c,b)) != product(c,product(a,b))
    | product(c,product(product(c,a),product(c,b))) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(c,b))),product(c,product(product(c,a),product(c,b)))) )],[refute_0_4713,refute_0_4714]) ).

cnf(refute_0_4716,plain,
    product(c,product(product(c,a),product(c,b))) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,b)),product(c,product(a,b))) )],[refute_0_4712,refute_0_4715]) ).

cnf(refute_0_4717,plain,
    product(product(c,c),product(product(c,a),product(c,b))) = product(product(c,c),product(product(c,a),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,a),product(c,b))))]]) ).

cnf(refute_0_4718,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),product(c,b))) != product(product(c,c),product(product(c,a),product(c,b)))
    | product(product(c,c),product(product(c,a),product(c,b))) = product(c,product(product(c,a),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,a),product(c,b))),product(product(c,c),product(product(c,a),product(c,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4719,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),product(c,b))) = product(c,product(product(c,a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(c,b))),product(product(c,c),product(product(c,a),product(c,b)))) )],[refute_0_4717,refute_0_4718]) ).

cnf(refute_0_4720,plain,
    product(product(c,c),product(product(c,a),product(c,b))) = product(c,product(product(c,a),product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_4719]) ).

cnf(refute_0_4721,plain,
    ( product(c,product(product(c,a),product(c,b))) != product(c,product(c,product(a,b)))
    | product(product(c,c),product(product(c,a),product(c,b))) != product(c,product(product(c,a),product(c,b)))
    | product(product(c,c),product(product(c,a),product(c,b))) = product(c,product(c,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(c,a),product(c,b))))),bind(Y,$fot(product(c,product(product(c,a),product(c,b))))),bind(Z,$fot(product(c,product(c,product(a,b)))))]]) ).

cnf(refute_0_4722,plain,
    ( product(c,product(product(c,a),product(c,b))) != product(c,product(c,product(a,b)))
    | product(product(c,c),product(product(c,a),product(c,b))) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(c,b))),product(c,product(product(c,a),product(c,b)))) )],[refute_0_4720,refute_0_4721]) ).

cnf(refute_0_4723,plain,
    product(product(c,c),product(product(c,a),product(c,b))) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),product(c,b))),product(c,product(c,product(a,b)))) )],[refute_0_4716,refute_0_4722]) ).

cnf(refute_0_4724,plain,
    product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,C),product(bigC(c,a,b),product(c,b))),
    inference(subst,[],[sos05:[bind(B,$fot(bigC(c,a,b))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_4725,plain,
    ( product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,C),product(bigC(c,a,b),product(c,b)))
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,C),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(bigC(c,a,b),product(c,b)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4726,plain,
    ( product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,C),product(bigC(c,a,b),product(c,b)))
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,C),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_4725]) ).

cnf(refute_0_4727,plain,
    product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,C),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(bigC(c,a,b),product(c,b)))) )],[refute_0_4724,refute_0_4726]) ).

cnf(refute_0_4728,plain,
    product(A,bigC(c,a,b)) = product(A,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(A,bigC(c,a,b)))]]) ).

cnf(refute_0_4729,plain,
    ( bigC(c,a,b) != c
    | product(A,bigC(c,a,b)) != product(A,bigC(c,a,b))
    | product(A,bigC(c,a,b)) = product(A,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,bigC(c,a,b)),product(A,bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4730,plain,
    ( bigC(c,a,b) != c
    | product(A,bigC(c,a,b)) = product(A,c) ),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,a,b)),product(A,bigC(c,a,b))) )],[refute_0_4728,refute_0_4729]) ).

cnf(refute_0_4731,plain,
    product(A,bigC(c,a,b)) = product(A,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4730]) ).

cnf(refute_0_4732,plain,
    product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,bigC(c,a,b)),product(C,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(c,a,b)),product(C,product(c,b))))]]) ).

cnf(refute_0_4733,plain,
    ( product(A,bigC(c,a,b)) != product(A,c)
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,bigC(c,a,b)),product(C,product(c,b)))
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,c),product(C,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,bigC(c,a,b)),product(C,product(c,b)))) ),[1,0],$fot(product(A,c))]]) ).

cnf(refute_0_4734,plain,
    ( product(A,bigC(c,a,b)) != product(A,c)
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,c),product(C,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,bigC(c,a,b)),product(C,product(c,b)))) )],[refute_0_4732,refute_0_4733]) ).

cnf(refute_0_4735,plain,
    product(product(A,bigC(c,a,b)),product(C,product(c,b))) = product(product(A,c),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,a,b)),product(A,c)) )],[refute_0_4731,refute_0_4734]) ).

cnf(refute_0_4736,plain,
    ( product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,c),product(C,product(c,b)))
    | product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(product(c,a),b))) ),[0],$fot(product(product(A,c),product(C,product(c,b))))]]) ).

cnf(refute_0_4737,plain,
    ( product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,c),product(C,product(c,b)))) )],[refute_0_4735,refute_0_4736]) ).

cnf(refute_0_4738,plain,
    product(product(A,C),product(product(c,a),b)) = product(product(A,C),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(product(c,a),b)))]]) ).

cnf(refute_0_4739,plain,
    ( product(product(A,C),product(product(c,a),b)) != product(product(A,C),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(product(A,C),product(product(c,a),b)) = product(product(A,C),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(product(c,a),b)),product(product(A,C),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_4740,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(A,C),product(product(c,a),b)) = product(product(A,C),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(c,a),b)),product(product(A,C),product(product(c,a),b))) )],[refute_0_4738,refute_0_4739]) ).

cnf(refute_0_4741,plain,
    product(product(A,C),product(product(c,a),b)) = product(product(A,C),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_4740]) ).

cnf(refute_0_4742,plain,
    ( product(product(A,C),product(product(c,a),b)) != product(product(A,C),product(c,product(c,b)))
    | product(product(A,c),product(C,product(c,b))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(c,b))),product(product(A,C),product(product(c,a),b))) ),[1],$fot(product(product(A,C),product(c,product(c,b))))]]) ).

cnf(refute_0_4743,plain,
    ( product(product(A,c),product(C,product(c,b))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(c,a),b)),product(product(A,C),product(c,product(c,b)))) )],[refute_0_4741,refute_0_4742]) ).

cnf(refute_0_4744,plain,
    ( product(product(A,bigC(c,a,b)),product(C,product(c,b))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(c,b))),product(product(A,C),product(product(c,a),b))) )],[refute_0_4737,refute_0_4743]) ).

cnf(refute_0_4745,plain,
    product(product(A,c),product(C,product(c,b))) = product(product(A,C),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,a,b)),product(C,product(c,b))),product(product(A,C),product(product(c,a),b))) )],[refute_0_4727,refute_0_4744]) ).

cnf(refute_0_4746,plain,
    ( product(product(A,c),product(C,product(c,b))) != product(product(A,C),product(c,product(c,b)))
    | product(product(A,C),product(c,product(c,b))) = product(product(A,c),product(C,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,c),product(C,product(c,b))))),bind(Y,$fot(product(product(A,C),product(c,product(c,b)))))]]) ).

cnf(refute_0_4747,plain,
    product(product(A,C),product(c,product(c,b))) = product(product(A,c),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(c,b))),product(product(A,C),product(c,product(c,b)))) )],[refute_0_4745,refute_0_4746]) ).

cnf(refute_0_4748,plain,
    product(product(c,product(c,a)),product(c,product(c,b))) = product(product(c,c),product(product(c,a),product(c,b))),
    inference(subst,[],[refute_0_4747:[bind(A,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_4749,plain,
    ( product(product(c,c),product(product(c,a),product(c,b))) != product(c,product(c,product(a,b)))
    | product(product(c,product(c,a)),product(c,product(c,b))) != product(product(c,c),product(product(c,a),product(c,b)))
    | product(product(c,product(c,a)),product(c,product(c,b))) = product(c,product(c,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),product(c,product(c,b))))),bind(Y,$fot(product(product(c,c),product(product(c,a),product(c,b))))),bind(Z,$fot(product(c,product(c,product(a,b)))))]]) ).

cnf(refute_0_4750,plain,
    ( product(product(c,c),product(product(c,a),product(c,b))) != product(c,product(c,product(a,b)))
    | product(product(c,product(c,a)),product(c,product(c,b))) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(c,product(c,b))),product(product(c,c),product(product(c,a),product(c,b)))) )],[refute_0_4748,refute_0_4749]) ).

cnf(refute_0_4751,plain,
    product(product(c,product(c,a)),product(c,product(c,b))) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(c,b))),product(c,product(c,product(a,b)))) )],[refute_0_4723,refute_0_4750]) ).

cnf(refute_0_4752,plain,
    product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,C),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b)))),
    inference(subst,[],[sos05:[bind(B,$fot(bigC(a,a,b))),bind(D,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_4753,plain,
    ( product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,C),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,C),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,C),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_4754,plain,
    ( product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,C),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,C),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_947,refute_0_4753]) ).

cnf(refute_0_4755,plain,
    product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,C),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,C),product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))))) )],[refute_0_4752,refute_0_4754]) ).

cnf(refute_0_4756,plain,
    product(C,bigC(b,b,bigC(c,a,b))) = product(C,bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(C,bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_4757,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(C,bigC(b,b,bigC(c,a,b))) != product(C,bigC(b,b,bigC(c,a,b)))
    | product(C,bigC(b,b,bigC(c,a,b))) = product(C,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(b,b,bigC(c,a,b))),product(C,bigC(b,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_4758,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | product(C,bigC(b,b,bigC(c,a,b))) = product(C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,b,bigC(c,a,b))),product(C,bigC(b,b,bigC(c,a,b)))) )],[refute_0_4756,refute_0_4757]) ).

cnf(refute_0_4759,plain,
    product(C,bigC(b,b,bigC(c,a,b))) = product(C,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_4758]) ).

cnf(refute_0_4760,plain,
    product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))))]]) ).

cnf(refute_0_4761,plain,
    ( product(C,bigC(b,b,bigC(c,a,b))) != product(C,bigC(b,b,c))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b))))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b))))) ),[1,1],$fot(product(C,bigC(b,b,c)))]]) ).

cnf(refute_0_4762,plain,
    ( product(C,bigC(b,b,bigC(c,a,b))) != product(C,bigC(b,b,c))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b))))) )],[refute_0_4760,refute_0_4761]) ).

cnf(refute_0_4763,plain,
    product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) = product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,b,bigC(c,a,b))),product(C,bigC(b,b,c))) )],[refute_0_4759,refute_0_4762]) ).

cnf(refute_0_4764,plain,
    ( product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c)))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,C),product(product(c,a),b))) ),[0],$fot(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))))]]) ).

cnf(refute_0_4765,plain,
    ( product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c)))) )],[refute_0_4763,refute_0_4764]) ).

cnf(refute_0_4766,plain,
    ( product(product(A,C),product(product(c,a),b)) != product(product(A,C),product(c,product(c,b)))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))),product(product(A,C),product(product(c,a),b))) ),[1],$fot(product(product(A,C),product(c,product(c,b))))]]) ).

cnf(refute_0_4767,plain,
    ( product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(c,a),b)),product(product(A,C),product(c,product(c,b)))) )],[refute_0_4741,refute_0_4766]) ).

cnf(refute_0_4768,plain,
    ( product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))) != product(product(A,C),product(product(c,a),b))
    | product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))),product(product(A,C),product(product(c,a),b))) )],[refute_0_4765,refute_0_4767]) ).

cnf(refute_0_4769,plain,
    product(product(A,bigC(a,a,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,a,b)),product(C,bigC(b,b,bigC(c,a,b)))),product(product(A,C),product(product(c,a),b))) )],[refute_0_4755,refute_0_4768]) ).

cnf(refute_0_4770,plain,
    product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) = product(product(c,product(c,a)),product(c,product(c,b))),
    inference(subst,[],[refute_0_4769:[bind(A,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_4771,plain,
    ( product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) != product(product(c,product(c,a)),product(c,product(c,b)))
    | product(product(c,product(c,a)),product(c,product(c,b))) != product(c,product(c,product(a,b)))
    | product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) = product(c,product(c,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))))),bind(Y,$fot(product(product(c,product(c,a)),product(c,product(c,b))))),bind(Z,$fot(product(c,product(c,product(a,b)))))]]) ).

cnf(refute_0_4772,plain,
    ( product(product(c,product(c,a)),product(c,product(c,b))) != product(c,product(c,product(a,b)))
    | product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))),product(product(c,product(c,a)),product(c,product(c,b)))) )],[refute_0_4770,refute_0_4771]) ).

cnf(refute_0_4773,plain,
    product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(c,product(c,b))),product(c,product(c,product(a,b)))) )],[refute_0_4751,refute_0_4772]) ).

cnf(refute_0_4774,plain,
    product(c,bigC(c,a,c)) = product(c,bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_4775,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(c,bigC(c,a,c)) != product(c,bigC(c,a,c))
    | product(c,bigC(c,a,c)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4776,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(c,bigC(c,a,c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(c,a,c))) )],[refute_0_4774,refute_0_4775]) ).

cnf(refute_0_4777,plain,
    product(c,bigC(c,a,c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_4776]) ).

cnf(refute_0_4778,plain,
    bigC(c,c,product(c,a)) = product(c,bigC(c,a,c)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(a)),bind(X_83,$fot(c))]]) ).

cnf(refute_0_4779,plain,
    bigC(c,product(c,a),c) = bigC(c,c,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_4780,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(c,a,c))
    | bigC(c,product(c,a),c) != bigC(c,c,product(c,a))
    | bigC(c,product(c,a),c) = product(c,bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,a),c))),bind(Y,$fot(bigC(c,c,product(c,a)))),bind(Z,$fot(product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_4781,plain,
    ( bigC(c,c,product(c,a)) != product(c,bigC(c,a,c))
    | bigC(c,product(c,a),c) = product(c,bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),bigC(c,c,product(c,a))) )],[refute_0_4779,refute_0_4780]) ).

cnf(refute_0_4782,plain,
    bigC(c,product(c,a),c) = product(c,bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,a)),product(c,bigC(c,a,c))) )],[refute_0_4778,refute_0_4781]) ).

cnf(refute_0_4783,plain,
    product(product(c,product(c,a)),c) = bigC(c,product(c,a),c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_4784,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(product(c,product(c,a)),c) != bigC(c,product(c,a),c)
    | product(product(c,product(c,a)),c) = product(c,bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),c))),bind(Y,$fot(bigC(c,product(c,a),c))),bind(Z,$fot(product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_4785,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(product(c,product(c,a)),c) = product(c,bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),c),bigC(c,product(c,a),c)) )],[refute_0_4783,refute_0_4784]) ).

cnf(refute_0_4786,plain,
    product(product(c,product(c,a)),c) = product(c,bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(c,a,c))) )],[refute_0_4782,refute_0_4785]) ).

cnf(refute_0_4787,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | product(product(c,product(c,a)),c) != product(c,bigC(c,a,c))
    | product(product(c,product(c,a)),c) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),c))),bind(Y,$fot(product(c,bigC(c,a,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_4788,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | product(product(c,product(c,a)),c) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),c),product(c,bigC(c,a,c))) )],[refute_0_4786,refute_0_4787]) ).

cnf(refute_0_4789,plain,
    product(product(c,product(c,a)),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_4777,refute_0_4788]) ).

cnf(refute_0_4790,plain,
    product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_4791,plain,
    ( product(product(c,product(c,a)),c) != product(c,bigC(a,a,b))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) != product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_4792,plain,
    ( product(product(c,product(c,a)),c) != product(c,bigC(a,a,b))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) )],[refute_0_4790,refute_0_4791]) ).

cnf(refute_0_4793,plain,
    product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),c),product(c,bigC(a,a,b))) )],[refute_0_4789,refute_0_4792]) ).

cnf(refute_0_4794,plain,
    ( product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) != product(c,product(c,product(a,b)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) != product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(c,product(c,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))),bind(Y,$fot(product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))))),bind(Z,$fot(product(c,product(c,product(a,b)))))]]) ).

cnf(refute_0_4795,plain,
    ( product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))) != product(c,product(c,product(a,b)))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(c,product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))),product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_4793,refute_0_4794]) ).

cnf(refute_0_4796,plain,
    product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) = product(c,product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(product(c,a),bigC(b,b,c))),product(c,product(c,product(a,b)))) )],[refute_0_4773,refute_0_4795]) ).

cnf(refute_0_4797,plain,
    product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_4798,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) != product(c,product(c,product(a,b)))
    | product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) ),[1,1],$fot(product(c,product(c,product(a,b))))]]) ).

cnf(refute_0_4799,plain,
    ( product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))) != product(c,product(c,product(a,b)))
    | product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_4797,refute_0_4798]) ).

cnf(refute_0_4800,plain,
    product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))),product(c,product(c,product(a,b)))) )],[refute_0_4796,refute_0_4799]) ).

cnf(refute_0_4801,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b))))
    | product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))))),bind(Y,$fot(product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))))),bind(Z,$fot(bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4802,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b))))) )],[refute_0_4800,refute_0_4801]) ).

cnf(refute_0_4803,plain,
    product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(c,product(c,product(a,b)))),bigC(product(b,a),c,product(c,a))) )],[refute_0_4711,refute_0_4802]) ).

cnf(refute_0_4804,plain,
    product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(product(b,c),product(c,product(c,a))))),bind(X_63,$fot(product(c,product(c,a)))),bind(X_64,$fot(c)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_4805,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_1229:[bind(A,$fot(product(b,c))),bind(C,$fot(product(product(c,product(c,a)),product(c,a)))),bind(X_63,$fot(c)),bind(X_64,$fot(product(c,a))),bind(X_65,$fot(c)),bind(X_66,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_4806,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))))),bind(Y,$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c)))))),bind(Z,$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))))]]) ).

cnf(refute_0_4807,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c))))) )],[refute_0_4805,refute_0_4806]) ).

cnf(refute_0_4808,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),product(c,a)),product(c,bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_4804,refute_0_4807]) ).

cnf(refute_0_4809,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(product(b,c),product(product(c,product(c,a)),product(c,a))))),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_4810,plain,
    ( product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))))),bind(Y,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))))),bind(Z,$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))))]]) ).

cnf(refute_0_4811,plain,
    ( product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_4809,refute_0_4810]) ).

cnf(refute_0_4812,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,c),product(product(c,a),bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_4808,refute_0_4811]) ).

cnf(refute_0_4813,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(c,product(c,a)),product(c,bigC(b,b,c))))),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(product(c,product(c,a)))),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_4814,plain,
    ( product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c))))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))))),bind(Y,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))))),bind(Z,$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))))]]) ).

cnf(refute_0_4815,plain,
    ( product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c))))) )],[refute_0_4813,refute_0_4814]) ).

cnf(refute_0_4816,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_4812,refute_0_4815]) ).

cnf(refute_0_4817,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))))),bind(Y,$fot(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))))),bind(Z,$fot(bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4818,plain,
    ( product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = bigC(product(b,a),c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c))))) )],[refute_0_4816,refute_0_4817]) ).

cnf(refute_0_4819,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) = bigC(product(b,a),c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,product(c,a))),product(product(product(c,product(c,a)),c),product(product(c,a),bigC(b,b,c)))),bigC(product(b,a),c,product(c,a))) )],[refute_0_4803,refute_0_4818]) ).

cnf(refute_0_4820,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != bigC(product(b,a),c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(c,product(c,a))
    | bigC(product(b,a),c,product(c,a)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(c,product(c,a))) ),[0],$fot(bigC(product(b,a),c,product(c,a)))]]) ).

cnf(refute_0_4821,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))) != product(c,product(c,a))
    | bigC(product(b,a),c,product(c,a)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),bigC(product(b,a),c,product(c,a))) )],[refute_0_4819,refute_0_4820]) ).

cnf(refute_0_4822,plain,
    bigC(product(b,a),c,product(c,a)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(c,bigC(b,b,c)))),product(c,product(c,a))) )],[refute_0_4655,refute_0_4821]) ).

cnf(refute_0_4823,plain,
    product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) = product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4824,plain,
    ( bigC(product(b,a),c,product(c,a)) != product(c,product(c,a))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) = product(product(product(b,c),c),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_4825,plain,
    ( bigC(product(b,a),c,product(c,a)) != product(c,product(c,a))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) = product(product(product(b,c),c),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) )],[refute_0_4823,refute_0_4824]) ).

cnf(refute_0_4826,plain,
    product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) = product(product(product(b,c),c),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(c,a)),product(c,product(c,a))) )],[refute_0_4822,refute_0_4825]) ).

cnf(refute_0_4827,plain,
    ( difference(product(bigC(b,a,b),c),product(product(b,c),c)) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))) != product(product(product(b,c),c),product(c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) = product(product(product(b,c),c),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),product(product(product(b,c),c),product(c,product(c,a)))) ),[0],$fot(product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))))]]) ).

cnf(refute_0_4828,plain,
    ( difference(product(bigC(b,a,b),c),product(product(b,c),c)) != product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) = product(product(product(b,c),c),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(product(b,a),c,product(c,a))),product(product(product(b,c),c),product(c,product(c,a)))) )],[refute_0_4826,refute_0_4827]) ).

cnf(refute_0_4829,plain,
    difference(product(bigC(b,a,b),c),product(product(b,c),c)) = product(product(product(b,c),c),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),product(product(product(b,c),c),bigC(product(b,a),c,product(c,a)))) )],[refute_0_4623,refute_0_4828]) ).

cnf(refute_0_4830,plain,
    difference(product(bigC(b,a,b),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(b,a,b),c),product(product(b,c),c)))]]) ).

cnf(refute_0_4831,plain,
    ( difference(product(bigC(b,a,b),c),product(product(b,c),c)) != difference(product(bigC(b,a,b),c),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),difference(product(bigC(b,a,b),c),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4832,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),difference(product(bigC(b,a,b),c),product(product(b,c),c))) )],[refute_0_4830,refute_0_4831]) ).

cnf(refute_0_4833,plain,
    difference(product(bigC(b,a,b),c),product(product(b,c),c)) = difference(product(bigC(b,a,b),c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_4832]) ).

cnf(refute_0_4834,plain,
    ( difference(product(bigC(b,a,b),c),product(product(b,c),c)) != difference(product(bigC(b,a,b),c),product(b,product(a,c)))
    | difference(product(bigC(b,a,b),c),product(product(b,c),c)) != product(product(product(b,c),c),product(c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(product(product(b,c),c),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),product(product(product(b,c),c),product(c,product(c,a)))) ),[0],$fot(difference(product(bigC(b,a,b),c),product(b,product(a,c))))]]) ).

cnf(refute_0_4835,plain,
    ( difference(product(bigC(b,a,b),c),product(product(b,c),c)) != product(product(product(b,c),c),product(c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(product(product(b,c),c),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) )],[refute_0_4833,refute_0_4834]) ).

cnf(refute_0_4836,plain,
    bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(product(product(bigC(c,a,b),a),product(a,b)),product(bigC(c,a,b),a)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(bigC(c,a,b),a))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_4837,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(product(product(bigC(c,a,b),a),product(a,b)),product(bigC(c,a,b),a))
    | product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(product(a,c),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)),product(product(product(bigC(c,a,b),a),product(a,b)),product(bigC(c,a,b),a))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_4838,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(product(product(bigC(c,a,b),a),product(a,b)),product(bigC(c,a,b),a))
    | bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(product(a,c),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_584,refute_0_4837]) ).

cnf(refute_0_4839,plain,
    bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(product(a,c),product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)),product(product(product(bigC(c,a,b),a),product(a,b)),product(bigC(c,a,b),a))) )],[refute_0_4836,refute_0_4838]) ).

cnf(refute_0_4840,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(product(a,b),a) != bigC(a,b,a)
    | product(product(a,b),a) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),a))),bind(Y,$fot(bigC(a,b,a))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_4841,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(product(a,b),a) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,b,a)) )],[refute_0_835,refute_0_4840]) ).

cnf(refute_0_4842,plain,
    product(product(a,b),a) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_4841]) ).

cnf(refute_0_4843,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)))]]) ).

cnf(refute_0_4844,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a))
    | product(product(a,b),a) != bigC(a,a,b)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4845,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a))) )],[refute_0_4843,refute_0_4844]) ).

cnf(refute_0_4846,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_4842,refute_0_4845]) ).

cnf(refute_0_4847,plain,
    bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(bigC(c,a,b))),bind(C,$fot(product(a,b))),bind(D,$fot(a))]]) ).

cnf(refute_0_4848,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))
    | bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)))),bind(Y,$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)))),bind(Z,$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_4849,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))
    | bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a))) )],[refute_0_4847,refute_0_4848]) ).

cnf(refute_0_4850,plain,
    bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),product(product(a,b),a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) )],[refute_0_4846,refute_0_4849]) ).

cnf(refute_0_4851,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))
    | bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(product(a,c),product(bigC(c,a,b),a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = product(product(a,c),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)),product(product(a,c),product(bigC(c,a,b),a))) ),[0],$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_4852,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(product(a,c),product(bigC(c,a,b),a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = product(product(a,c),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) )],[refute_0_4850,refute_0_4851]) ).

cnf(refute_0_4853,plain,
    product(product(a,c),product(bigC(c,a,b),a)) = bigC(a,c,bigC(c,a,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_4854,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != product(product(a,c),product(bigC(c,a,b),a))
    | product(product(a,c),product(bigC(c,a,b),a)) != bigC(a,c,bigC(c,a,b))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = bigC(a,c,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),bigC(a,c,bigC(c,a,b))) ),[0],$fot(product(product(a,c),product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_4855,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != product(product(a,c),product(bigC(c,a,b),a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = bigC(a,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(c,a,b),a)),bigC(a,c,bigC(c,a,b))) )],[refute_0_4853,refute_0_4854]) ).

cnf(refute_0_4856,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)) != product(product(a,c),product(bigC(c,a,b),a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = bigC(a,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),product(product(a,c),product(bigC(c,a,b),a))) )],[refute_0_4852,refute_0_4855]) ).

cnf(refute_0_4857,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = bigC(a,c,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),product(bigC(c,a,b),a)),product(product(a,c),product(bigC(c,a,b),a))) )],[refute_0_4839,refute_0_4856]) ).

cnf(refute_0_4858,plain,
    bigC(c,a,bigC(c,a,b)) = bigC(c,a,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(c,a,bigC(c,a,b)))]]) ).

cnf(refute_0_4859,plain,
    ( bigC(c,a,b) != c
    | bigC(c,a,bigC(c,a,b)) != bigC(c,a,bigC(c,a,b))
    | bigC(c,a,bigC(c,a,b)) = bigC(c,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,a,bigC(c,a,b)),bigC(c,a,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_4860,plain,
    ( bigC(c,a,b) != c
    | bigC(c,a,bigC(c,a,b)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,bigC(c,a,b)),bigC(c,a,bigC(c,a,b))) )],[refute_0_4858,refute_0_4859]) ).

cnf(refute_0_4861,plain,
    bigC(c,a,bigC(c,a,b)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4860]) ).

cnf(refute_0_4862,plain,
    bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(bigC(c,a,b),a,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,b),a,bigC(c,a,b)))]]) ).

cnf(refute_0_4863,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(bigC(c,a,b),a,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(c,a,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(bigC(c,a,b),a,bigC(c,a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4864,plain,
    ( bigC(c,a,b) != c
    | bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(c,a,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(bigC(c,a,b),a,bigC(c,a,b))) )],[refute_0_4862,refute_0_4863]) ).

cnf(refute_0_4865,plain,
    bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(c,a,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4864]) ).

cnf(refute_0_4866,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,bigC(c,a,b))
    | bigC(c,a,bigC(c,a,b)) != bigC(c,a,c)
    | bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(c,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,a,b),a,bigC(c,a,b)))),bind(Y,$fot(bigC(c,a,bigC(c,a,b)))),bind(Z,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_4867,plain,
    ( bigC(c,a,bigC(c,a,b)) != bigC(c,a,c)
    | bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(c,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(c,a,bigC(c,a,b))) )],[refute_0_4865,refute_0_4866]) ).

cnf(refute_0_4868,plain,
    bigC(bigC(c,a,b),a,bigC(c,a,b)) = bigC(c,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_4861,refute_0_4867]) ).

cnf(refute_0_4869,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_4870,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,c)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(c,a,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_4871,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,c)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(c,a,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b))) )],[refute_0_4869,refute_0_4870]) ).

cnf(refute_0_4872,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) = product(bigC(c,a,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_4868,refute_0_4871]) ).

cnf(refute_0_4873,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != bigC(a,c,bigC(c,a,b))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != product(bigC(c,a,c),bigC(a,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,c,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),bigC(a,c,bigC(c,a,b))) ),[0],$fot(product(bigC(c,a,c),bigC(a,a,b)))]]) ).

cnf(refute_0_4874,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != bigC(a,c,bigC(c,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,c,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),product(bigC(c,a,c),bigC(a,a,b))) )],[refute_0_4872,refute_0_4873]) ).

cnf(refute_0_4875,plain,
    bigC(a,c,bigC(c,a,b)) = bigC(a,c,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(a,c,bigC(c,a,b)))]]) ).

cnf(refute_0_4876,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,bigC(c,a,b))
    | bigC(c,a,b) != c
    | bigC(a,c,bigC(c,a,b)) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_4877,plain,
    ( bigC(c,a,b) != c
    | bigC(a,c,bigC(c,a,b)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),bigC(a,c,bigC(c,a,b))) )],[refute_0_4875,refute_0_4876]) ).

cnf(refute_0_4878,plain,
    bigC(a,c,bigC(c,a,b)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4877]) ).

cnf(refute_0_4879,plain,
    ( bigC(a,c,bigC(c,a,b)) != bigC(a,c,c)
    | product(bigC(c,a,c),bigC(a,a,b)) != bigC(a,c,bigC(c,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),bigC(a,c,bigC(c,a,b))) ),[1],$fot(bigC(a,c,c))]]) ).

cnf(refute_0_4880,plain,
    ( product(bigC(c,a,c),bigC(a,a,b)) != bigC(a,c,bigC(c,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,bigC(c,a,b)),bigC(a,c,c)) )],[refute_0_4878,refute_0_4879]) ).

cnf(refute_0_4881,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)) != bigC(a,c,bigC(c,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),bigC(a,c,bigC(c,a,b))) )],[refute_0_4874,refute_0_4880]) ).

cnf(refute_0_4882,plain,
    product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,b)),bigC(a,c,bigC(c,a,b))) )],[refute_0_4857,refute_0_4881]) ).

cnf(refute_0_4883,plain,
    product(bigC(a,a,b),bigC(a,a,b)) = bigC(a,a,b),
    inference(subst,[],[sos06:[bind(A,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_4884,plain,
    product(bigC(c,a,c),bigC(a,a,b)) = product(bigC(c,a,c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),bigC(a,a,b)))]]) ).

cnf(refute_0_4885,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,b)) != product(bigC(c,a,c),bigC(a,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),product(bigC(c,a,c),bigC(a,a,b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4886,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),product(bigC(c,a,c),bigC(a,a,b))) )],[refute_0_4884,refute_0_4885]) ).

cnf(refute_0_4887,plain,
    product(bigC(c,a,c),bigC(a,a,b)) = product(bigC(a,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_4886]) ).

cnf(refute_0_4888,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,b)) != product(bigC(a,a,b),bigC(a,a,b))
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,c),bigC(a,a,b)))),bind(Y,$fot(product(bigC(a,a,b),bigC(a,a,b)))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_4889,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,b))) )],[refute_0_4887,refute_0_4888]) ).

cnf(refute_0_4890,plain,
    product(bigC(c,a,c),bigC(a,a,b)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_4883,refute_0_4889]) ).

cnf(refute_0_4891,plain,
    ( product(bigC(c,a,c),bigC(a,a,b)) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,b)) != bigC(a,c,c)
    | bigC(a,a,b) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),bigC(a,c,c)) ),[0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4892,plain,
    ( product(bigC(c,a,c),bigC(a,a,b)) != bigC(a,c,c)
    | bigC(a,a,b) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_4890,refute_0_4891]) ).

cnf(refute_0_4893,plain,
    bigC(a,a,b) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,b)),bigC(a,c,c)) )],[refute_0_4882,refute_0_4892]) ).

cnf(refute_0_4894,plain,
    ( bigC(a,a,b) != bigC(a,c,c)
    | bigC(a,c,c) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,b))),bind(Y,$fot(bigC(a,c,c)))]]) ).

cnf(refute_0_4895,plain,
    bigC(a,c,c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),bigC(a,c,c)) )],[refute_0_4893,refute_0_4894]) ).

cnf(refute_0_4896,plain,
    product(product(b,c),bigC(a,c,c)) = product(product(b,c),bigC(a,c,c)),
    introduced(tautology,[refl,[$fot(product(product(b,c),bigC(a,c,c)))]]) ).

cnf(refute_0_4897,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | product(product(b,c),bigC(a,c,c)) != product(product(b,c),bigC(a,c,c))
    | product(product(b,c),bigC(a,c,c)) = product(product(b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(a,c,c)),product(product(b,c),bigC(a,c,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4898,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | product(product(b,c),bigC(a,c,c)) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,c,c)),product(product(b,c),bigC(a,c,c))) )],[refute_0_4896,refute_0_4897]) ).

cnf(refute_0_4899,plain,
    product(product(b,c),bigC(a,c,c)) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_4895,refute_0_4898]) ).

cnf(refute_0_4900,plain,
    product(product(b,product(a,c)),product(c,product(c,a))) = product(product(b,c),bigC(a,c,c)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(c))]]) ).

cnf(refute_0_4901,plain,
    ( product(product(b,c),bigC(a,c,c)) != product(product(b,c),bigC(a,a,b))
    | product(product(b,product(a,c)),product(c,product(c,a))) != product(product(b,c),bigC(a,c,c))
    | product(product(b,product(a,c)),product(c,product(c,a))) = product(product(b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(c,product(c,a))))),bind(Y,$fot(product(product(b,c),bigC(a,c,c)))),bind(Z,$fot(product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_4902,plain,
    ( product(product(b,c),bigC(a,c,c)) != product(product(b,c),bigC(a,a,b))
    | product(product(b,product(a,c)),product(c,product(c,a))) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,a))),product(product(b,c),bigC(a,c,c))) )],[refute_0_4900,refute_0_4901]) ).

cnf(refute_0_4903,plain,
    product(product(b,product(a,c)),product(c,product(c,a))) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,c,c)),product(product(b,c),bigC(a,a,b))) )],[refute_0_4899,refute_0_4902]) ).

cnf(refute_0_4904,plain,
    product(product(product(b,c),c),product(c,product(c,a))) = product(product(product(b,c),c),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),product(c,product(c,a))))]]) ).

cnf(refute_0_4905,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(c,product(c,a))) != product(product(product(b,c),c),product(c,product(c,a)))
    | product(product(product(b,c),c),product(c,product(c,a))) = product(product(b,product(a,c)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(c,product(c,a))),product(product(product(b,c),c),product(c,product(c,a)))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4906,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(c,product(c,a))) = product(product(b,product(a,c)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(c,product(c,a))),product(product(product(b,c),c),product(c,product(c,a)))) )],[refute_0_4904,refute_0_4905]) ).

cnf(refute_0_4907,plain,
    product(product(product(b,c),c),product(c,product(c,a))) = product(product(b,product(a,c)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_4906]) ).

cnf(refute_0_4908,plain,
    ( product(product(b,product(a,c)),product(c,product(c,a))) != product(product(b,c),bigC(a,a,b))
    | product(product(product(b,c),c),product(c,product(c,a))) != product(product(b,product(a,c)),product(c,product(c,a)))
    | product(product(product(b,c),c),product(c,product(c,a))) = product(product(b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),c),product(c,product(c,a))))),bind(Y,$fot(product(product(b,product(a,c)),product(c,product(c,a))))),bind(Z,$fot(product(product(b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_4909,plain,
    ( product(product(b,product(a,c)),product(c,product(c,a))) != product(product(b,c),bigC(a,a,b))
    | product(product(product(b,c),c),product(c,product(c,a))) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(c,product(c,a))),product(product(b,product(a,c)),product(c,product(c,a)))) )],[refute_0_4907,refute_0_4908]) ).

cnf(refute_0_4910,plain,
    product(product(product(b,c),c),product(c,product(c,a))) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,a))),product(product(b,c),bigC(a,a,b))) )],[refute_0_4903,refute_0_4909]) ).

cnf(refute_0_4911,plain,
    ( difference(product(bigC(b,a,b),c),product(b,product(a,c))) != product(product(product(b,c),c),product(c,product(c,a)))
    | product(product(product(b,c),c),product(c,product(c,a))) != product(product(b,c),bigC(a,a,b))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(product(b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,a,b),c),product(b,product(a,c))),product(product(b,c),bigC(a,a,b))) ),[0],$fot(product(product(product(b,c),c),product(c,product(c,a))))]]) ).

cnf(refute_0_4912,plain,
    ( difference(product(bigC(b,a,b),c),product(b,product(a,c))) != product(product(product(b,c),c),product(c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(c,product(c,a))),product(product(b,c),bigC(a,a,b))) )],[refute_0_4910,refute_0_4911]) ).

cnf(refute_0_4913,plain,
    ( difference(product(bigC(b,a,b),c),product(product(b,c),c)) != product(product(product(b,c),c),product(c,product(c,a)))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(product(b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(b,product(a,c))),product(product(product(b,c),c),product(c,product(c,a)))) )],[refute_0_4835,refute_0_4912]) ).

cnf(refute_0_4914,plain,
    difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(product(b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(product(b,c),c)),product(product(product(b,c),c),product(c,product(c,a)))) )],[refute_0_4829,refute_0_4913]) ).

cnf(refute_0_4915,plain,
    ( difference(product(bigC(b,a,b),c),product(b,product(a,c))) != product(product(b,c),bigC(a,a,b))
    | product(product(b,c),bigC(a,a,b)) != product(b,product(a,product(a,c)))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,a,b),c),product(b,product(a,c))),product(b,product(a,product(a,c)))) ),[0],$fot(product(product(b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_4916,plain,
    ( difference(product(bigC(b,a,b),c),product(b,product(a,c))) != product(product(b,c),bigC(a,a,b))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,a,b)),product(b,product(a,product(a,c)))) )],[refute_0_4157,refute_0_4915]) ).

cnf(refute_0_4917,plain,
    difference(product(bigC(b,a,b),c),product(b,product(a,c))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(b,product(a,c))),product(product(b,c),bigC(a,a,b))) )],[refute_0_4914,refute_0_4916]) ).

cnf(refute_0_4918,plain,
    difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))))]]) ).

cnf(refute_0_4919,plain,
    ( difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) != difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c))))
    | difference(product(bigC(b,a,b),c),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))),difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c))))) ),[1,1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_4920,plain,
    ( difference(product(bigC(b,a,b),c),product(b,product(a,c))) != product(b,product(a,product(a,c)))
    | difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))),difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c))))) )],[refute_0_4918,refute_0_4919]) ).

cnf(refute_0_4921,plain,
    difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),product(b,product(a,c))),product(b,product(a,product(a,c)))) )],[refute_0_4917,refute_0_4920]) ).

cnf(refute_0_4922,plain,
    ( difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) != difference(product(b,product(a,c)),product(b,product(a,product(a,c))))
    | difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) ),[0],$fot(difference(product(b,product(a,c)),product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_4923,plain,
    ( difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))),difference(product(b,product(a,c)),product(b,product(a,product(a,c))))) )],[refute_0_4921,refute_0_4922]) ).

cnf(refute_0_4924,plain,
    bigC(a,c,b) = bigC(a,b,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_4925,plain,
    ( bigC(a,b,c) != c
    | bigC(a,c,b) != bigC(a,b,c)
    | bigC(a,c,b) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,c,b))),bind(Y,$fot(bigC(a,b,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_4926,plain,
    ( bigC(a,b,c) != c
    | bigC(a,c,b) = c ),
    inference(resolve,[$cnf( $equal(bigC(a,c,b),bigC(a,b,c)) )],[refute_0_4924,refute_0_4925]) ).

cnf(refute_0_4927,plain,
    bigC(a,c,b) = c,
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_4926]) ).

cnf(refute_0_4928,plain,
    product(product(b,a),bigC(a,c,b)) = product(product(b,a),bigC(a,c,b)),
    introduced(tautology,[refl,[$fot(product(product(b,a),bigC(a,c,b)))]]) ).

cnf(refute_0_4929,plain,
    ( bigC(a,c,b) != c
    | product(product(b,a),bigC(a,c,b)) != product(product(b,a),bigC(a,c,b))
    | product(product(b,a),bigC(a,c,b)) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),bigC(a,c,b)),product(product(b,a),bigC(a,c,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_4930,plain,
    ( bigC(a,c,b) != c
    | product(product(b,a),bigC(a,c,b)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(a,c,b)),product(product(b,a),bigC(a,c,b))) )],[refute_0_4928,refute_0_4929]) ).

cnf(refute_0_4931,plain,
    product(product(b,a),bigC(a,c,b)) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(bigC(a,c,b),c) )],[refute_0_4927,refute_0_4930]) ).

cnf(refute_0_4932,plain,
    ( product(product(b,a),bigC(a,c,b)) != product(product(b,a),c)
    | product(product(b,a),c) != product(c,product(c,a))
    | product(product(b,a),bigC(a,c,b)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),bigC(a,c,b)))),bind(Y,$fot(product(product(b,a),c))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_4933,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(b,a),bigC(a,c,b)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(a,c,b)),product(product(b,a),c)) )],[refute_0_4931,refute_0_4932]) ).

cnf(refute_0_4934,plain,
    product(product(b,a),bigC(a,c,b)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_4933]) ).

cnf(refute_0_4935,plain,
    product(bigC(b,b,a),bigC(a,a,c)) = product(product(b,a),bigC(a,c,b)),
    inference(subst,[],[refute_0_1149:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b))]]) ).

cnf(refute_0_4936,plain,
    ( product(bigC(b,b,a),bigC(a,a,c)) != product(product(b,a),bigC(a,c,b))
    | product(product(b,a),bigC(a,c,b)) != product(c,product(c,a))
    | product(bigC(b,b,a),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,a),bigC(a,a,c)))),bind(Y,$fot(product(product(b,a),bigC(a,c,b)))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_4937,plain,
    ( product(product(b,a),bigC(a,c,b)) != product(c,product(c,a))
    | product(bigC(b,b,a),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(a,a,c)),product(product(b,a),bigC(a,c,b))) )],[refute_0_4935,refute_0_4936]) ).

cnf(refute_0_4938,plain,
    product(bigC(b,b,a),bigC(a,a,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),bigC(a,c,b)),product(c,product(c,a))) )],[refute_0_4934,refute_0_4937]) ).

cnf(refute_0_4939,plain,
    product(product(b,product(a,c)),bigC(a,a,b)) = product(bigC(b,b,a),bigC(a,a,c)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_4940,plain,
    ( product(bigC(b,b,a),bigC(a,a,c)) != product(c,product(c,a))
    | product(product(b,product(a,c)),bigC(a,a,b)) != product(bigC(b,b,a),bigC(a,a,c))
    | product(product(b,product(a,c)),bigC(a,a,b)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),bigC(a,a,b)))),bind(Y,$fot(product(bigC(b,b,a),bigC(a,a,c)))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_4941,plain,
    ( product(bigC(b,b,a),bigC(a,a,c)) != product(c,product(c,a))
    | product(product(b,product(a,c)),bigC(a,a,b)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(a,a,b)),product(bigC(b,b,a),bigC(a,a,c))) )],[refute_0_4939,refute_0_4940]) ).

cnf(refute_0_4942,plain,
    product(product(b,product(a,c)),bigC(a,a,b)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,a),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_4938,refute_0_4941]) ).

cnf(refute_0_4943,plain,
    quotient(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) = bigC(a,a,b),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4944,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | quotient(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != bigC(a,a,b)
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b)) ),[0,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_4945,plain,
    ( quotient(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)) != bigC(a,a,b)
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) )],[refute_0_4537,refute_0_4944]) ).

cnf(refute_0_4946,plain,
    quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b)) )],[refute_0_4943,refute_0_4945]) ).

cnf(refute_0_4947,plain,
    quotient(c,product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(quotient(c,product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4948,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | quotient(c,product(product(b,bigC(c,a,b)),c)) != quotient(c,product(product(b,bigC(c,a,b)),c))
    | quotient(c,product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(b,bigC(c,a,b)),c)),quotient(c,product(product(b,bigC(c,a,b)),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_4949,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | quotient(c,product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(b,bigC(c,a,b)),c)),quotient(c,product(product(b,bigC(c,a,b)),c))) )],[refute_0_4947,refute_0_4948]) ).

cnf(refute_0_4950,plain,
    quotient(c,product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_4556,refute_0_4949]) ).

cnf(refute_0_4951,plain,
    quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_4952,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,bigC(c,a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4953,plain,
    ( bigC(c,a,b) != c
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,bigC(c,a,b)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_4951,refute_0_4952]) ).

cnf(refute_0_4954,plain,
    quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,bigC(c,a,b)),c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_4953]) ).

cnf(refute_0_4955,plain,
    ( quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != quotient(c,product(product(b,bigC(c,a,b)),c))
    | quotient(c,product(product(b,bigC(c,a,b)),c)) != quotient(c,product(product(b,c),c))
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)))),bind(Y,$fot(quotient(c,product(product(b,bigC(c,a,b)),c)))),bind(Z,$fot(quotient(c,product(product(b,c),c))))]]) ).

cnf(refute_0_4956,plain,
    ( quotient(c,product(product(b,bigC(c,a,b)),c)) != quotient(c,product(product(b,c),c))
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),quotient(c,product(product(b,bigC(c,a,b)),c))) )],[refute_0_4954,refute_0_4955]) ).

cnf(refute_0_4957,plain,
    quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) = quotient(c,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(b,bigC(c,a,b)),c)),quotient(c,product(product(b,c),c))) )],[refute_0_4950,refute_0_4956]) ).

cnf(refute_0_4958,plain,
    ( quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(a,a,b)
    | quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != quotient(c,product(product(b,c),c))
    | quotient(c,product(product(b,c),c)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b)) ),[0],$fot(quotient(c,product(product(b,c),c)))]]) ).

cnf(refute_0_4959,plain,
    ( quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(a,a,b)
    | quotient(c,product(product(b,c),c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),quotient(c,product(product(b,c),c))) )],[refute_0_4957,refute_0_4958]) ).

cnf(refute_0_4960,plain,
    quotient(c,product(product(b,c),c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,b),product(product(b,bigC(c,a,b)),c)),bigC(a,a,b)) )],[refute_0_4946,refute_0_4959]) ).

cnf(refute_0_4961,plain,
    quotient(c,product(product(b,c),c)) = quotient(c,product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(quotient(c,product(product(b,c),c)))]]) ).

cnf(refute_0_4962,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | quotient(c,product(product(b,c),c)) != quotient(c,product(product(b,c),c))
    | quotient(c,product(product(b,c),c)) = quotient(c,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(b,c),c)),quotient(c,product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4963,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | quotient(c,product(product(b,c),c)) = quotient(c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(b,c),c)),quotient(c,product(product(b,c),c))) )],[refute_0_4961,refute_0_4962]) ).

cnf(refute_0_4964,plain,
    quotient(c,product(product(b,c),c)) = quotient(c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_4963]) ).

cnf(refute_0_4965,plain,
    ( quotient(c,product(product(b,c),c)) != bigC(a,a,b)
    | quotient(c,product(product(b,c),c)) != quotient(c,product(b,product(a,c)))
    | quotient(c,product(b,product(a,c))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(b,c),c)),bigC(a,a,b)) ),[0],$fot(quotient(c,product(b,product(a,c))))]]) ).

cnf(refute_0_4966,plain,
    ( quotient(c,product(product(b,c),c)) != bigC(a,a,b)
    | quotient(c,product(b,product(a,c))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(b,c),c)),quotient(c,product(b,product(a,c)))) )],[refute_0_4964,refute_0_4965]) ).

cnf(refute_0_4967,plain,
    quotient(c,product(b,product(a,c))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(b,c),c)),bigC(a,a,b)) )],[refute_0_4960,refute_0_4966]) ).

cnf(refute_0_4968,plain,
    product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))))]]) ).

cnf(refute_0_4969,plain,
    ( product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | quotient(c,product(b,product(a,c))) != bigC(a,a,b)
    | product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(product(b,product(a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_4970,plain,
    ( quotient(c,product(b,product(a,c))) != bigC(a,a,b)
    | product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(product(b,product(a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) )],[refute_0_4968,refute_0_4969]) ).

cnf(refute_0_4971,plain,
    product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(product(b,product(a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,product(a,c))),bigC(a,a,b)) )],[refute_0_4967,refute_0_4970]) ).

cnf(refute_0_4972,plain,
    ( product(product(b,product(a,c)),bigC(a,a,b)) != product(c,product(c,a))
    | product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) != product(product(b,product(a,c)),bigC(a,a,b))
    | product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))))),bind(Y,$fot(product(product(b,product(a,c)),bigC(a,a,b)))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_4973,plain,
    ( product(product(b,product(a,c)),bigC(a,a,b)) != product(c,product(c,a))
    | product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),product(product(b,product(a,c)),bigC(a,a,b))) )],[refute_0_4971,refute_0_4972]) ).

cnf(refute_0_4974,plain,
    product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(a,a,b)),product(c,product(c,a))) )],[refute_0_4942,refute_0_4973]) ).

cnf(refute_0_4975,plain,
    ( difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))) != product(c,product(c,a))
    | difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,product(a,c)),product(b,product(a,product(a,c)))),product(c,product(c,a))) ),[0],$fot(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))))]]) ).

cnf(refute_0_4976,plain,
    ( difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(c,product(b,product(a,c)))),product(c,product(c,a))) )],[refute_0_4974,refute_0_4975]) ).

cnf(refute_0_4977,plain,
    ( difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))) != product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))
    | difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(b,product(a,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) )],[refute_0_4923,refute_0_4976]) ).

cnf(refute_0_4978,plain,
    difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),difference(product(bigC(b,a,b),c),product(b,product(a,c)))),product(product(b,product(a,c)),quotient(c,product(b,product(a,c))))) )],[refute_0_4518,refute_0_4977]) ).

cnf(refute_0_4979,plain,
    ( difference(product(b,product(a,c)),product(b,product(a,product(a,c)))) != product(c,product(c,a))
    | product(product(b,product(a,c)),difference(product(b,product(a,c)),product(b,product(a,product(a,c))))) != product(b,product(a,product(a,c)))
    | product(product(b,product(a,c)),product(c,product(c,a))) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),difference(product(b,product(a,c)),product(b,product(a,product(a,c))))),product(b,product(a,product(a,c)))) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_4980,plain,
    ( product(product(b,product(a,c)),difference(product(b,product(a,c)),product(b,product(a,product(a,c))))) != product(b,product(a,product(a,c)))
    | product(product(b,product(a,c)),product(c,product(c,a))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(b,product(a,product(a,c)))),product(c,product(c,a))) )],[refute_0_4978,refute_0_4979]) ).

cnf(refute_0_4981,plain,
    product(product(b,product(a,c)),product(c,product(c,a))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),difference(product(b,product(a,c)),product(b,product(a,product(a,c))))),product(b,product(a,product(a,c)))) )],[refute_0_4514,refute_0_4980]) ).

cnf(refute_0_4982,plain,
    product(product(b,a),product(c,a)) = product(product(b,c),a),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_4983,plain,
    product(c,product(product(b,a),product(c,a))) = product(c,product(product(b,a),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(b,a),product(c,a))))]]) ).

cnf(refute_0_4984,plain,
    ( product(c,product(product(b,a),product(c,a))) != product(c,product(product(b,a),product(c,a)))
    | product(product(b,a),product(c,a)) != product(product(b,c),a)
    | product(c,product(product(b,a),product(c,a))) = product(c,product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,a),product(c,a))),product(c,product(product(b,a),product(c,a)))) ),[1,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_4985,plain,
    ( product(product(b,a),product(c,a)) != product(product(b,c),a)
    | product(c,product(product(b,a),product(c,a))) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,a),product(c,a))),product(c,product(product(b,a),product(c,a)))) )],[refute_0_4983,refute_0_4984]) ).

cnf(refute_0_4986,plain,
    product(c,product(product(b,a),product(c,a))) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,a)),product(product(b,c),a)) )],[refute_0_4982,refute_0_4985]) ).

cnf(refute_0_4987,plain,
    product(product(c,c),product(product(b,a),product(c,a))) = product(product(c,c),product(product(b,a),product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(b,a),product(c,a))))]]) ).

cnf(refute_0_4988,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(b,a),product(c,a))) != product(product(c,c),product(product(b,a),product(c,a)))
    | product(product(c,c),product(product(b,a),product(c,a))) = product(c,product(product(b,a),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(b,a),product(c,a))),product(product(c,c),product(product(b,a),product(c,a)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_4989,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(b,a),product(c,a))) = product(c,product(product(b,a),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(b,a),product(c,a))),product(product(c,c),product(product(b,a),product(c,a)))) )],[refute_0_4987,refute_0_4988]) ).

cnf(refute_0_4990,plain,
    product(product(c,c),product(product(b,a),product(c,a))) = product(c,product(product(b,a),product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_4989]) ).

cnf(refute_0_4991,plain,
    ( product(c,product(product(b,a),product(c,a))) != product(c,product(product(b,c),a))
    | product(product(c,c),product(product(b,a),product(c,a))) != product(c,product(product(b,a),product(c,a)))
    | product(product(c,c),product(product(b,a),product(c,a))) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(b,a),product(c,a))))),bind(Y,$fot(product(c,product(product(b,a),product(c,a))))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_4992,plain,
    ( product(c,product(product(b,a),product(c,a))) != product(c,product(product(b,c),a))
    | product(product(c,c),product(product(b,a),product(c,a))) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(b,a),product(c,a))),product(c,product(product(b,a),product(c,a)))) )],[refute_0_4990,refute_0_4991]) ).

cnf(refute_0_4993,plain,
    product(product(c,c),product(product(b,a),product(c,a))) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,a),product(c,a))),product(c,product(product(b,c),a))) )],[refute_0_4986,refute_0_4992]) ).

cnf(refute_0_4994,plain,
    product(product(c,B),product(product(b,a),D)) = product(product(c,product(b,a)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_4995,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(product(c,B),product(product(b,a),D)) != product(product(c,product(b,a)),product(B,D))
    | product(product(c,B),product(product(b,a),D)) = product(product(b,product(a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(b,a),D)),product(product(c,product(b,a)),product(B,D))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_4996,plain,
    ( product(product(c,B),product(product(b,a),D)) != product(product(c,product(b,a)),product(B,D))
    | product(product(c,B),product(product(b,a),D)) = product(product(b,product(a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_4995]) ).

cnf(refute_0_4997,plain,
    product(product(c,B),product(product(b,a),D)) = product(product(b,product(a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(b,a),D)),product(product(c,product(b,a)),product(B,D))) )],[refute_0_4994,refute_0_4996]) ).

cnf(refute_0_4998,plain,
    ( product(product(c,B),product(product(b,a),D)) != product(product(b,product(a,c)),product(B,D))
    | product(product(b,product(a,c)),product(B,D)) = product(product(c,B),product(product(b,a),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,B),product(product(b,a),D)))),bind(Y,$fot(product(product(b,product(a,c)),product(B,D))))]]) ).

cnf(refute_0_4999,plain,
    product(product(b,product(a,c)),product(B,D)) = product(product(c,B),product(product(b,a),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(b,a),D)),product(product(b,product(a,c)),product(B,D))) )],[refute_0_4997,refute_0_4998]) ).

cnf(refute_0_5000,plain,
    product(product(b,product(a,c)),product(c,product(c,a))) = product(product(c,c),product(product(b,a),product(c,a))),
    inference(subst,[],[refute_0_4999:[bind(B,$fot(c)),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_5001,plain,
    ( product(product(b,product(a,c)),product(c,product(c,a))) != product(product(c,c),product(product(b,a),product(c,a)))
    | product(product(c,c),product(product(b,a),product(c,a))) != product(c,product(product(b,c),a))
    | product(product(b,product(a,c)),product(c,product(c,a))) = product(c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(c,product(c,a))))),bind(Y,$fot(product(product(c,c),product(product(b,a),product(c,a))))),bind(Z,$fot(product(c,product(product(b,c),a))))]]) ).

cnf(refute_0_5002,plain,
    ( product(product(c,c),product(product(b,a),product(c,a))) != product(c,product(product(b,c),a))
    | product(product(b,product(a,c)),product(c,product(c,a))) = product(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,a))),product(product(c,c),product(product(b,a),product(c,a)))) )],[refute_0_5000,refute_0_5001]) ).

cnf(refute_0_5003,plain,
    product(product(b,product(a,c)),product(c,product(c,a))) = product(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(b,a),product(c,a))),product(c,product(product(b,c),a))) )],[refute_0_4993,refute_0_5002]) ).

cnf(refute_0_5004,plain,
    ( product(product(b,product(a,c)),product(c,product(c,a))) != product(b,product(a,product(a,c)))
    | product(product(b,product(a,c)),product(c,product(c,a))) != product(c,product(product(b,c),a))
    | product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,a))),product(b,product(a,product(a,c)))) ),[0],$fot(product(c,product(product(b,c),a)))]]) ).

cnf(refute_0_5005,plain,
    ( product(product(b,product(a,c)),product(c,product(c,a))) != product(b,product(a,product(a,c)))
    | product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,a))),product(c,product(product(b,c),a))) )],[refute_0_5003,refute_0_5004]) ).

cnf(refute_0_5006,plain,
    product(c,product(product(b,c),a)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,a))),product(b,product(a,product(a,c)))) )],[refute_0_4981,refute_0_5005]) ).

cnf(refute_0_5007,plain,
    ( product(c,product(product(b,c),a)) != product(b,product(a,product(a,c)))
    | quotient(c,product(c,product(c,product(product(b,c),a)))) != product(product(product(product(b,c),a),c),c)
    | quotient(c,product(c,product(b,product(a,product(a,c))))) = product(product(product(product(b,c),a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,product(product(b,c),a)))),product(product(product(product(b,c),a),c),c)) ),[0,1,1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_5008,plain,
    ( quotient(c,product(c,product(c,product(product(b,c),a)))) != product(product(product(product(b,c),a),c),c)
    | quotient(c,product(c,product(b,product(a,product(a,c))))) = product(product(product(product(b,c),a),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),a)),product(b,product(a,product(a,c)))) )],[refute_0_5006,refute_0_5007]) ).

cnf(refute_0_5009,plain,
    quotient(c,product(c,product(b,product(a,product(a,c))))) = product(product(product(product(b,c),a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,product(product(b,c),a)))),product(product(product(product(b,c),a),c),c)) )],[refute_0_4513,refute_0_5008]) ).

cnf(refute_0_5010,plain,
    quotient(c,product(c,product(b,product(a,product(a,c))))) = quotient(c,product(c,product(b,product(a,product(a,c))))),
    introduced(tautology,[refl,[$fot(quotient(c,product(c,product(b,product(a,product(a,c))))))]]) ).

cnf(refute_0_5011,plain,
    ( product(c,product(b,product(a,product(a,c)))) != bigC(c,c,product(b,product(c,a)))
    | quotient(c,product(c,product(b,product(a,product(a,c))))) != quotient(c,product(c,product(b,product(a,product(a,c)))))
    | quotient(c,product(c,product(b,product(a,product(a,c))))) = quotient(c,bigC(c,c,product(b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(b,product(a,product(a,c))))),quotient(c,product(c,product(b,product(a,product(a,c)))))) ),[1,1],$fot(bigC(c,c,product(b,product(c,a))))]]) ).

cnf(refute_0_5012,plain,
    ( product(c,product(b,product(a,product(a,c)))) != bigC(c,c,product(b,product(c,a)))
    | quotient(c,product(c,product(b,product(a,product(a,c))))) = quotient(c,bigC(c,c,product(b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(b,product(a,product(a,c))))),quotient(c,product(c,product(b,product(a,product(a,c)))))) )],[refute_0_5010,refute_0_5011]) ).

cnf(refute_0_5013,plain,
    quotient(c,product(c,product(b,product(a,product(a,c))))) = quotient(c,bigC(c,c,product(b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,product(a,c)))),bigC(c,c,product(b,product(c,a)))) )],[refute_0_4181,refute_0_5012]) ).

cnf(refute_0_5014,plain,
    ( quotient(c,product(c,product(b,product(a,product(a,c))))) != product(product(product(product(b,c),a),c),c)
    | quotient(c,product(c,product(b,product(a,product(a,c))))) != quotient(c,bigC(c,c,product(b,product(c,a))))
    | quotient(c,bigC(c,c,product(b,product(c,a)))) = product(product(product(product(b,c),a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(b,product(a,product(a,c))))),product(product(product(product(b,c),a),c),c)) ),[0],$fot(quotient(c,bigC(c,c,product(b,product(c,a)))))]]) ).

cnf(refute_0_5015,plain,
    ( quotient(c,product(c,product(b,product(a,product(a,c))))) != product(product(product(product(b,c),a),c),c)
    | quotient(c,bigC(c,c,product(b,product(c,a)))) = product(product(product(product(b,c),a),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(b,product(a,product(a,c))))),quotient(c,bigC(c,c,product(b,product(c,a))))) )],[refute_0_5013,refute_0_5014]) ).

cnf(refute_0_5016,plain,
    quotient(c,bigC(c,c,product(b,product(c,a)))) = product(product(product(product(b,c),a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(b,product(a,product(a,c))))),product(product(product(product(b,c),a),c),c)) )],[refute_0_5009,refute_0_5015]) ).

cnf(refute_0_5017,plain,
    quotient(c,bigC(c,c,product(b,product(c,a)))) = quotient(c,bigC(c,c,product(b,product(c,a)))),
    introduced(tautology,[refl,[$fot(quotient(c,bigC(c,c,product(b,product(c,a)))))]]) ).

cnf(refute_0_5018,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(product(bigC(b,b,c),c),c)
    | quotient(c,bigC(c,c,product(b,product(c,a)))) != quotient(c,bigC(c,c,product(b,product(c,a))))
    | quotient(c,bigC(c,c,product(b,product(c,a)))) = quotient(c,product(product(bigC(b,b,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(c,c,product(b,product(c,a)))),quotient(c,bigC(c,c,product(b,product(c,a))))) ),[1,1],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_5019,plain,
    ( bigC(c,c,product(b,product(c,a))) != product(product(bigC(b,b,c),c),c)
    | quotient(c,bigC(c,c,product(b,product(c,a)))) = quotient(c,product(product(bigC(b,b,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,product(b,product(c,a)))),quotient(c,bigC(c,c,product(b,product(c,a))))) )],[refute_0_5017,refute_0_5018]) ).

cnf(refute_0_5020,plain,
    quotient(c,bigC(c,c,product(b,product(c,a)))) = quotient(c,product(product(bigC(b,b,c),c),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,product(c,a))),product(product(bigC(b,b,c),c),c)) )],[refute_0_4503,refute_0_5019]) ).

cnf(refute_0_5021,plain,
    ( quotient(c,bigC(c,c,product(b,product(c,a)))) != product(product(product(product(b,c),a),c),c)
    | quotient(c,bigC(c,c,product(b,product(c,a)))) != quotient(c,product(product(bigC(b,b,c),c),c))
    | quotient(c,product(product(bigC(b,b,c),c),c)) = product(product(product(product(b,c),a),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(c,c,product(b,product(c,a)))),product(product(product(product(b,c),a),c),c)) ),[0],$fot(quotient(c,product(product(bigC(b,b,c),c),c)))]]) ).

cnf(refute_0_5022,plain,
    ( quotient(c,bigC(c,c,product(b,product(c,a)))) != product(product(product(product(b,c),a),c),c)
    | quotient(c,product(product(bigC(b,b,c),c),c)) = product(product(product(product(b,c),a),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,product(b,product(c,a)))),quotient(c,product(product(bigC(b,b,c),c),c))) )],[refute_0_5020,refute_0_5021]) ).

cnf(refute_0_5023,plain,
    quotient(c,product(product(bigC(b,b,c),c),c)) = product(product(product(product(b,c),a),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,product(b,product(c,a)))),product(product(product(product(b,c),a),c),c)) )],[refute_0_5016,refute_0_5022]) ).

cnf(refute_0_5024,plain,
    quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c))]]) ).

cnf(refute_0_5025,plain,
    ( quotient(c,product(product(bigC(b,b,c),c),c)) != product(product(product(product(b,c),a),c),c)
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) != quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c)
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = quotient(product(product(product(product(b,c),a),c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c)) ),[1,0],$fot(product(product(product(product(b,c),a),c),c))]]) ).

cnf(refute_0_5026,plain,
    ( quotient(c,product(product(bigC(b,b,c),c),c)) != product(product(product(product(b,c),a),c),c)
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = quotient(product(product(product(product(b,c),a),c),c),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c)) )],[refute_0_5024,refute_0_5025]) ).

cnf(refute_0_5027,plain,
    quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = quotient(product(product(product(product(b,c),a),c),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(bigC(b,b,c),c),c)),product(product(product(product(b,c),a),c),c)) )],[refute_0_5023,refute_0_5026]) ).

cnf(refute_0_5028,plain,
    ( quotient(product(product(product(product(b,c),a),c),c),c) != product(product(product(b,c),a),c)
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) != quotient(product(product(product(product(b,c),a),c),c),c)
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = product(product(product(b,c),a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c))),bind(Y,$fot(quotient(product(product(product(product(b,c),a),c),c),c))),bind(Z,$fot(product(product(product(b,c),a),c)))]]) ).

cnf(refute_0_5029,plain,
    ( quotient(product(product(product(product(b,c),a),c),c),c) != product(product(product(b,c),a),c)
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = product(product(product(b,c),a),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),quotient(product(product(product(product(b,c),a),c),c),c)) )],[refute_0_5027,refute_0_5028]) ).

cnf(refute_0_5030,plain,
    quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) = product(product(product(b,c),a),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(b,c),a),c),c),c),product(product(product(b,c),a),c)) )],[refute_0_4512,refute_0_5029]) ).

cnf(refute_0_5031,plain,
    ( quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) != product(product(product(b,c),a),c)
    | product(product(product(b,c),a),c) = difference(c,product(product(b,product(a,product(a,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),difference(c,product(product(b,product(a,product(a,c))),c))) ),[0],$fot(product(product(product(b,c),a),c))]]) ).

cnf(refute_0_5032,plain,
    ( quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | product(product(product(b,c),a),c) = difference(c,product(product(b,product(a,product(a,c))),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),product(product(product(b,c),a),c)) )],[refute_0_5030,refute_0_5031]) ).

cnf(refute_0_5033,plain,
    difference(c,product(c,product(c,bigC(a,a,c)))) = product(c,bigC(a,a,c)),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_5034,plain,
    bigC(c,product(product(b,c),a),c) = product(product(c,product(product(b,c),a)),c),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(c)),bind(X_22,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_5035,plain,
    ( bigC(c,product(product(b,c),a),c) != product(product(c,product(product(b,c),a)),c)
    | product(c,product(product(b,c),a)) != product(b,product(a,product(a,c)))
    | bigC(c,product(product(b,c),a),c) = product(product(b,product(a,product(a,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(b,c),a),c),product(product(c,product(product(b,c),a)),c)) ),[1,0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_5036,plain,
    ( bigC(c,product(product(b,c),a),c) != product(product(c,product(product(b,c),a)),c)
    | bigC(c,product(product(b,c),a),c) = product(product(b,product(a,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),a)),product(b,product(a,product(a,c)))) )],[refute_0_5006,refute_0_5035]) ).

cnf(refute_0_5037,plain,
    bigC(c,product(product(b,c),a),c) = product(product(b,product(a,product(a,c))),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(b,c),a),c),product(product(c,product(product(b,c),a)),c)) )],[refute_0_5034,refute_0_5036]) ).

cnf(refute_0_5038,plain,
    bigC(c,product(product(b,c),a),c) = bigC(c,c,product(product(b,c),a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_5039,plain,
    ( bigC(c,product(product(b,c),a),c) != bigC(c,c,product(product(b,c),a))
    | bigC(c,product(product(b,c),a),c) != product(product(b,product(a,product(a,c))),c)
    | bigC(c,c,product(product(b,c),a)) = product(product(b,product(a,product(a,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(product(b,c),a),c),product(product(b,product(a,product(a,c))),c)) ),[0],$fot(bigC(c,c,product(product(b,c),a)))]]) ).

cnf(refute_0_5040,plain,
    ( bigC(c,product(product(b,c),a),c) != product(product(b,product(a,product(a,c))),c)
    | bigC(c,c,product(product(b,c),a)) = product(product(b,product(a,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(b,c),a),c),bigC(c,c,product(product(b,c),a))) )],[refute_0_5038,refute_0_5039]) ).

cnf(refute_0_5041,plain,
    bigC(c,c,product(product(b,c),a)) = product(product(b,product(a,product(a,c))),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(b,c),a),c),product(product(b,product(a,product(a,c))),c)) )],[refute_0_5037,refute_0_5040]) ).

cnf(refute_0_5042,plain,
    bigC(product(product(c,b),a),product(product(c,b),a),c) = product(product(product(c,b),a),product(c,product(product(c,b),a))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(c,b),a))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_5043,plain,
    bigC(product(c,a),b,product(c,a)) = product(product(product(c,a),b),product(c,a)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(c,a))),bind(X_22,$fot(b))]]) ).

cnf(refute_0_5044,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(product(product(c,a),b),product(c,a))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(c,a),b,product(c,a)) = product(product(c,product(c,b)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),product(product(product(c,a),b),product(c,a))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_5045,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(product(product(c,a),b),product(c,a))
    | bigC(product(c,a),b,product(c,a)) = product(product(c,product(c,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_5044]) ).

cnf(refute_0_5046,plain,
    bigC(product(c,a),b,product(c,a)) = product(product(c,product(c,b)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),product(product(product(c,a),b),product(c,a))) )],[refute_0_5043,refute_0_5045]) ).

cnf(refute_0_5047,plain,
    bigC(a,product(b,a),b) = bigC(a,b,product(b,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_5048,plain,
    product(bigC(a,a,b),product(b,a)) = bigC(a,product(b,a),b),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(b)),bind(X_44,$fot(a)),bind(X_45,$fot(b))]]) ).

cnf(refute_0_5049,plain,
    ( bigC(a,product(b,a),b) != bigC(a,b,product(b,a))
    | product(bigC(a,a,b),product(b,a)) != bigC(a,product(b,a),b)
    | product(bigC(a,a,b),product(b,a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(b,a)))),bind(Y,$fot(bigC(a,product(b,a),b))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5050,plain,
    ( bigC(a,product(b,a),b) != bigC(a,b,product(b,a))
    | product(bigC(a,a,b),product(b,a)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,a)),bigC(a,product(b,a),b)) )],[refute_0_5048,refute_0_5049]) ).

cnf(refute_0_5051,plain,
    product(bigC(a,a,b),product(b,a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,a),b),bigC(a,b,product(b,a))) )],[refute_0_5047,refute_0_5050]) ).

cnf(refute_0_5052,plain,
    product(bigC(c,a,c),product(b,a)) = product(bigC(c,a,c),product(b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(b,a)))]]) ).

cnf(refute_0_5053,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(b,a)) != product(bigC(c,a,c),product(b,a))
    | product(bigC(c,a,c),product(b,a)) = product(bigC(a,a,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),product(bigC(c,a,c),product(b,a))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5054,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(b,a)) = product(bigC(a,a,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),product(bigC(c,a,c),product(b,a))) )],[refute_0_5052,refute_0_5053]) ).

cnf(refute_0_5055,plain,
    product(bigC(c,a,c),product(b,a)) = product(bigC(a,a,b),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_5054]) ).

cnf(refute_0_5056,plain,
    ( product(bigC(a,a,b),product(b,a)) != bigC(a,b,product(b,a))
    | product(bigC(c,a,c),product(b,a)) != product(bigC(a,a,b),product(b,a))
    | product(bigC(c,a,c),product(b,a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,c),product(b,a)))),bind(Y,$fot(product(bigC(a,a,b),product(b,a)))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5057,plain,
    ( product(bigC(a,a,b),product(b,a)) != bigC(a,b,product(b,a))
    | product(bigC(c,a,c),product(b,a)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),product(bigC(a,a,b),product(b,a))) )],[refute_0_5055,refute_0_5056]) ).

cnf(refute_0_5058,plain,
    product(bigC(c,a,c),product(b,a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_5051,refute_0_5057]) ).

cnf(refute_0_5059,plain,
    bigC(product(c,a),b,product(c,a)) = product(bigC(c,a,c),product(b,a)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(a))]]) ).

cnf(refute_0_5060,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(bigC(c,a,c),product(b,a))
    | product(bigC(c,a,c),product(b,a)) != bigC(a,b,product(b,a))
    | bigC(product(c,a),b,product(c,a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,a),b,product(c,a)))),bind(Y,$fot(product(bigC(c,a,c),product(b,a)))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5061,plain,
    ( product(bigC(c,a,c),product(b,a)) != bigC(a,b,product(b,a))
    | bigC(product(c,a),b,product(c,a)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),product(bigC(c,a,c),product(b,a))) )],[refute_0_5059,refute_0_5060]) ).

cnf(refute_0_5062,plain,
    bigC(product(c,a),b,product(c,a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,a)),bigC(a,b,product(b,a))) )],[refute_0_5058,refute_0_5061]) ).

cnf(refute_0_5063,plain,
    ( bigC(product(c,a),b,product(c,a)) != bigC(a,b,product(b,a))
    | bigC(product(c,a),b,product(c,a)) != product(product(c,product(c,b)),product(c,a))
    | bigC(a,b,product(b,a)) = product(product(c,product(c,b)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),product(product(c,product(c,b)),product(c,a))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_5064,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(product(c,product(c,b)),product(c,a))
    | bigC(a,b,product(b,a)) = product(product(c,product(c,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),bigC(a,b,product(b,a))) )],[refute_0_5062,refute_0_5063]) ).

cnf(refute_0_5065,plain,
    product(product(c,c),product(product(c,b),a)) = product(product(c,c),product(product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,b),a)))]]) ).

cnf(refute_0_5066,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,b),a)) != product(product(c,c),product(product(c,b),a))
    | product(product(c,c),product(product(c,b),a)) = product(c,product(product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,b),a)),product(product(c,c),product(product(c,b),a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5067,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,b),a)) = product(c,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),a)),product(product(c,c),product(product(c,b),a))) )],[refute_0_5065,refute_0_5066]) ).

cnf(refute_0_5068,plain,
    product(product(c,c),product(product(c,b),a)) = product(c,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_5067]) ).

cnf(refute_0_5069,plain,
    product(product(c,product(c,b)),product(c,a)) = product(product(c,c),product(product(c,b),a)),
    inference(subst,[],[refute_0_1455:[bind(B,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_5070,plain,
    ( product(product(c,c),product(product(c,b),a)) != product(c,product(product(c,b),a))
    | product(product(c,product(c,b)),product(c,a)) != product(product(c,c),product(product(c,b),a))
    | product(product(c,product(c,b)),product(c,a)) = product(c,product(product(c,b),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(c,a)))),bind(Y,$fot(product(product(c,c),product(product(c,b),a)))),bind(Z,$fot(product(c,product(product(c,b),a))))]]) ).

cnf(refute_0_5071,plain,
    ( product(product(c,c),product(product(c,b),a)) != product(c,product(product(c,b),a))
    | product(product(c,product(c,b)),product(c,a)) = product(c,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,a)),product(product(c,c),product(product(c,b),a))) )],[refute_0_5069,refute_0_5070]) ).

cnf(refute_0_5072,plain,
    product(product(c,product(c,b)),product(c,a)) = product(c,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),a)),product(c,product(product(c,b),a))) )],[refute_0_5068,refute_0_5071]) ).

cnf(refute_0_5073,plain,
    ( bigC(a,b,product(b,a)) != product(product(c,product(c,b)),product(c,a))
    | product(product(c,product(c,b)),product(c,a)) != product(c,product(product(c,b),a))
    | bigC(a,b,product(b,a)) = product(c,product(product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(b,a)),product(c,product(product(c,b),a))) ),[0],$fot(product(product(c,product(c,b)),product(c,a)))]]) ).

cnf(refute_0_5074,plain,
    ( bigC(a,b,product(b,a)) != product(product(c,product(c,b)),product(c,a))
    | bigC(a,b,product(b,a)) = product(c,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,a)),product(c,product(product(c,b),a))) )],[refute_0_5072,refute_0_5073]) ).

cnf(refute_0_5075,plain,
    ( bigC(product(c,a),b,product(c,a)) != product(product(c,product(c,b)),product(c,a))
    | bigC(a,b,product(b,a)) = product(c,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(product(c,product(c,b)),product(c,a))) )],[refute_0_5064,refute_0_5074]) ).

cnf(refute_0_5076,plain,
    bigC(a,b,product(b,a)) = product(c,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,product(c,a)),product(product(c,product(c,b)),product(c,a))) )],[refute_0_5046,refute_0_5075]) ).

cnf(refute_0_5077,plain,
    ( bigC(a,b,product(b,a)) != product(c,product(product(c,b),a))
    | product(c,product(product(c,b),a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(c,product(product(c,b),a))))]]) ).

cnf(refute_0_5078,plain,
    product(c,product(product(c,b),a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(c,product(product(c,b),a))) )],[refute_0_5076,refute_0_5077]) ).

cnf(refute_0_5079,plain,
    ( bigC(product(product(c,b),a),product(product(c,b),a),c) != product(product(product(c,b),a),product(c,product(product(c,b),a)))
    | product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | bigC(product(product(c,b),a),product(product(c,b),a),c) = product(product(product(c,b),a),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),product(product(c,b),a),c),product(product(product(c,b),a),product(c,product(product(c,b),a)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_5080,plain,
    ( bigC(product(product(c,b),a),product(product(c,b),a),c) != product(product(product(c,b),a),product(c,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(product(c,b),a),c) = product(product(product(c,b),a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),bigC(a,b,product(b,a))) )],[refute_0_5078,refute_0_5079]) ).

cnf(refute_0_5081,plain,
    bigC(product(product(c,b),a),product(product(c,b),a),c) = product(product(product(c,b),a),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(c,b),a),c),product(product(product(c,b),a),product(c,product(product(c,b),a)))) )],[refute_0_5042,refute_0_5080]) ).

cnf(refute_0_5082,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(c,b),c) != bigC(c,b,c)
    | product(product(c,b),c) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),c))),bind(Y,$fot(bigC(c,b,c))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_5083,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(c,b),c) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_395,refute_0_5082]) ).

cnf(refute_0_5084,plain,
    product(product(c,b),c) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_5083]) ).

cnf(refute_0_5085,plain,
    product(product(product(c,b),c),bigC(a,a,product(c,b))) = product(product(product(c,b),c),bigC(a,a,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),c),bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_5086,plain,
    ( product(product(c,b),c) != bigC(b,a,b)
    | product(product(product(c,b),c),bigC(a,a,product(c,b))) != product(product(product(c,b),c),bigC(a,a,product(c,b)))
    | product(product(product(c,b),c),bigC(a,a,product(c,b))) = product(bigC(b,a,b),bigC(a,a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),c),bigC(a,a,product(c,b))),product(product(product(c,b),c),bigC(a,a,product(c,b)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_5087,plain,
    ( product(product(c,b),c) != bigC(b,a,b)
    | product(product(product(c,b),c),bigC(a,a,product(c,b))) = product(bigC(b,a,b),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),c),bigC(a,a,product(c,b))),product(product(product(c,b),c),bigC(a,a,product(c,b)))) )],[refute_0_5085,refute_0_5086]) ).

cnf(refute_0_5088,plain,
    product(product(product(c,b),c),bigC(a,a,product(c,b))) = product(bigC(b,a,b),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(b,a,b)) )],[refute_0_5084,refute_0_5087]) ).

cnf(refute_0_5089,plain,
    bigC(product(product(c,b),a),product(product(c,b),a),c) = product(product(product(c,b),c),bigC(a,a,product(c,b))),
    inference(subst,[],[refute_0_334:[bind(A,$fot(product(c,b))),bind(B,$fot(c)),bind(C,$fot(a))]]) ).

cnf(refute_0_5090,plain,
    ( bigC(product(product(c,b),a),product(product(c,b),a),c) != product(product(product(c,b),c),bigC(a,a,product(c,b)))
    | product(product(product(c,b),c),bigC(a,a,product(c,b))) != product(bigC(b,a,b),bigC(a,a,product(c,b)))
    | bigC(product(product(c,b),a),product(product(c,b),a),c) = product(bigC(b,a,b),bigC(a,a,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),a),product(product(c,b),a),c))),bind(Y,$fot(product(product(product(c,b),c),bigC(a,a,product(c,b))))),bind(Z,$fot(product(bigC(b,a,b),bigC(a,a,product(c,b)))))]]) ).

cnf(refute_0_5091,plain,
    ( product(product(product(c,b),c),bigC(a,a,product(c,b))) != product(bigC(b,a,b),bigC(a,a,product(c,b)))
    | bigC(product(product(c,b),a),product(product(c,b),a),c) = product(bigC(b,a,b),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(c,b),a),c),product(product(product(c,b),c),bigC(a,a,product(c,b)))) )],[refute_0_5089,refute_0_5090]) ).

cnf(refute_0_5092,plain,
    bigC(product(product(c,b),a),product(product(c,b),a),c) = product(bigC(b,a,b),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),c),bigC(a,a,product(c,b))),product(bigC(b,a,b),bigC(a,a,product(c,b)))) )],[refute_0_5088,refute_0_5091]) ).

cnf(refute_0_5093,plain,
    ( bigC(product(product(c,b),a),product(product(c,b),a),c) != product(bigC(b,a,b),bigC(a,a,product(c,b)))
    | bigC(product(product(c,b),a),product(product(c,b),a),c) != product(product(product(c,b),a),bigC(a,b,product(b,a)))
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(product(product(c,b),a),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),product(product(c,b),a),c),product(product(product(c,b),a),bigC(a,b,product(b,a)))) ),[0],$fot(product(bigC(b,a,b),bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_5094,plain,
    ( bigC(product(product(c,b),a),product(product(c,b),a),c) != product(product(product(c,b),a),bigC(a,b,product(b,a)))
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(product(product(c,b),a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(c,b),a),c),product(bigC(b,a,b),bigC(a,a,product(c,b)))) )],[refute_0_5092,refute_0_5093]) ).

cnf(refute_0_5095,plain,
    product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(product(product(c,b),a),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(c,b),a),c),product(product(product(c,b),a),bigC(a,b,product(b,a)))) )],[refute_0_5081,refute_0_5094]) ).

cnf(refute_0_5096,plain,
    difference(product(product(b,a),c),bigC(product(b,a),c,product(c,a))) = product(product(c,a),product(b,a)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(b,a))),bind(X_22,$fot(c)),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_5097,plain,
    ( bigC(product(b,a),c,product(c,a)) != product(c,product(c,a))
    | difference(product(product(b,a),c),bigC(product(b,a),c,product(c,a))) != product(product(c,a),product(b,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) = product(product(c,a),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),bigC(product(b,a),c,product(c,a))),product(product(c,a),product(b,a))) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_5098,plain,
    ( difference(product(product(b,a),c),bigC(product(b,a),c,product(c,a))) != product(product(c,a),product(b,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) = product(product(c,a),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(c,a)),product(c,product(c,a))) )],[refute_0_4822,refute_0_5097]) ).

cnf(refute_0_5099,plain,
    difference(product(product(b,a),c),product(c,product(c,a))) = product(product(c,a),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),bigC(product(b,a),c,product(c,a))),product(product(c,a),product(b,a))) )],[refute_0_5096,refute_0_5098]) ).

cnf(refute_0_5100,plain,
    product(product(c,a),product(b,a)) = product(product(c,b),a),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_5101,plain,
    ( difference(product(product(b,a),c),product(c,product(c,a))) != product(product(c,a),product(b,a))
    | product(product(c,a),product(b,a)) != product(product(c,b),a)
    | difference(product(product(b,a),c),product(c,product(c,a))) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,a),c),product(c,product(c,a))),product(product(c,b),a)) ),[0],$fot(product(product(c,a),product(b,a)))]]) ).

cnf(refute_0_5102,plain,
    ( difference(product(product(b,a),c),product(c,product(c,a))) != product(product(c,a),product(b,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,a)),product(product(c,b),a)) )],[refute_0_5100,refute_0_5101]) ).

cnf(refute_0_5103,plain,
    difference(product(product(b,a),c),product(c,product(c,a))) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),product(product(c,a),product(b,a))) )],[refute_0_5099,refute_0_5102]) ).

cnf(refute_0_5104,plain,
    difference(product(c,product(c,a)),product(c,product(c,a))) = product(c,product(c,a)),
    inference(subst,[],[refute_0_1058:[bind(X_2,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_5105,plain,
    difference(product(product(b,a),c),product(c,product(c,a))) = difference(product(product(b,a),c),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),c),product(c,product(c,a))))]]) ).

cnf(refute_0_5106,plain,
    ( difference(product(product(b,a),c),product(c,product(c,a))) != difference(product(product(b,a),c),product(c,product(c,a)))
    | product(product(b,a),c) != product(c,product(c,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) = difference(product(c,product(c,a)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),difference(product(product(b,a),c),product(c,product(c,a)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_5107,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) = difference(product(c,product(c,a)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),difference(product(product(b,a),c),product(c,product(c,a)))) )],[refute_0_5105,refute_0_5106]) ).

cnf(refute_0_5108,plain,
    difference(product(product(b,a),c),product(c,product(c,a))) = difference(product(c,product(c,a)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_5107]) ).

cnf(refute_0_5109,plain,
    ( difference(product(c,product(c,a)),product(c,product(c,a))) != product(c,product(c,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) != difference(product(c,product(c,a)),product(c,product(c,a)))
    | difference(product(product(b,a),c),product(c,product(c,a))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,a),c),product(c,product(c,a))))),bind(Y,$fot(difference(product(c,product(c,a)),product(c,product(c,a))))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_5110,plain,
    ( difference(product(c,product(c,a)),product(c,product(c,a))) != product(c,product(c,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),difference(product(c,product(c,a)),product(c,product(c,a)))) )],[refute_0_5108,refute_0_5109]) ).

cnf(refute_0_5111,plain,
    difference(product(product(b,a),c),product(c,product(c,a))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),product(c,product(c,a))),product(c,product(c,a))) )],[refute_0_5104,refute_0_5110]) ).

cnf(refute_0_5112,plain,
    ( difference(product(product(b,a),c),product(c,product(c,a))) != product(c,product(c,a))
    | difference(product(product(b,a),c),product(c,product(c,a))) != product(product(c,b),a)
    | product(c,product(c,a)) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),product(product(c,b),a)) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_5113,plain,
    ( difference(product(product(b,a),c),product(c,product(c,a))) != product(product(c,b),a)
    | product(c,product(c,a)) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),product(c,product(c,a))) )],[refute_0_5111,refute_0_5112]) ).

cnf(refute_0_5114,plain,
    product(c,product(c,a)) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),c),product(c,product(c,a))),product(product(c,b),a)) )],[refute_0_5103,refute_0_5113]) ).

cnf(refute_0_5115,plain,
    ( product(c,product(c,a)) != product(product(c,b),a)
    | product(product(c,b),a) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_5116,plain,
    product(product(c,b),a) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),product(product(c,b),a)) )],[refute_0_5114,refute_0_5115]) ).

cnf(refute_0_5117,plain,
    product(product(product(c,b),a),bigC(a,b,product(b,a))) = product(product(product(c,b),a),bigC(a,b,product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),a),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5118,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),bigC(a,b,product(b,a))) != product(product(product(c,b),a),bigC(a,b,product(b,a)))
    | product(product(product(c,b),a),bigC(a,b,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),bigC(a,b,product(b,a))),product(product(product(c,b),a),bigC(a,b,product(b,a)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_5119,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),bigC(a,b,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),bigC(a,b,product(b,a))),product(product(product(c,b),a),bigC(a,b,product(b,a)))) )],[refute_0_5117,refute_0_5118]) ).

cnf(refute_0_5120,plain,
    product(product(product(c,b),a),bigC(a,b,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_5119]) ).

cnf(refute_0_5121,plain,
    ( product(bigC(b,a,b),bigC(a,a,product(c,b))) != product(product(product(c,b),a),bigC(a,b,product(b,a)))
    | product(product(product(c,b),a),bigC(a,b,product(b,a))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) ),[0],$fot(product(product(product(c,b),a),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5122,plain,
    ( product(bigC(b,a,b),bigC(a,a,product(c,b))) != product(product(product(c,b),a),bigC(a,b,product(b,a)))
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),bigC(a,b,product(b,a))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_5120,refute_0_5121]) ).

cnf(refute_0_5123,plain,
    product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(product(product(c,b),a),bigC(a,b,product(b,a)))) )],[refute_0_5095,refute_0_5122]) ).

cnf(refute_0_5124,plain,
    product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(bigC(b,a,b),bigC(a,a,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_5125,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) != product(bigC(b,a,b),bigC(a,a,product(c,b)))
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(bigC(b,a,b),bigC(a,a,product(c,b)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_5126,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(bigC(b,a,b),bigC(a,a,product(c,b)))) )],[refute_0_5124,refute_0_5125]) ).

cnf(refute_0_5127,plain,
    product(bigC(b,a,b),bigC(a,a,product(c,b))) = product(bigC(a,b,b),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_5126]) ).

cnf(refute_0_5128,plain,
    ( product(bigC(b,a,b),bigC(a,a,product(c,b))) != product(bigC(a,b,b),bigC(a,a,product(c,b)))
    | product(bigC(b,a,b),bigC(a,a,product(c,b))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(bigC(a,b,b),bigC(a,a,product(c,b))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) ),[0],$fot(product(bigC(a,b,b),bigC(a,a,product(c,b))))]]) ).

cnf(refute_0_5129,plain,
    ( product(bigC(b,a,b),bigC(a,a,product(c,b))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(bigC(a,b,b),bigC(a,a,product(c,b))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(bigC(a,b,b),bigC(a,a,product(c,b)))) )],[refute_0_5127,refute_0_5128]) ).

cnf(refute_0_5130,plain,
    product(bigC(a,b,b),bigC(a,a,product(c,b))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,product(c,b))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_5123,refute_0_5129]) ).

cnf(refute_0_5131,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) = product(difference(product(c,a),bigC(a,c,product(b,a))),product(c,difference(product(c,a),bigC(a,c,product(b,a))))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(difference(product(c,a),bigC(a,c,product(b,a))))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_5132,plain,
    difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),difference(product(c,a),bigC(a,a,b))) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(bigC(a,a,b))),bind(X_32,$fot(product(c,a)))]]) ).

cnf(refute_0_5133,plain,
    ( difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),difference(product(c,a),bigC(a,a,b))) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | difference(product(c,a),bigC(a,a,b)) != c
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),difference(product(c,a),bigC(a,a,b))),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_5134,plain,
    ( difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),difference(product(c,a),bigC(a,a,b))) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_1542,refute_0_5133]) ).

cnf(refute_0_5135,plain,
    difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),difference(product(c,a),bigC(a,a,b))),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) )],[refute_0_5132,refute_0_5134]) ).

cnf(refute_0_5136,plain,
    difference(product(bigC(a,a,b),c),bigC(bigC(a,a,b),c,bigC(b,a,b))) = product(bigC(b,a,b),bigC(a,a,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(c)),bind(X_23,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_5137,plain,
    difference(product(a,c),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,c))),bind(B,$fot(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_5138,plain,
    product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),bigC(c,a,b)))) = product(product(a,c),c),
    inference(subst,[],[sos07:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_5139,plain,
    ( product(product(product(a,c),c),bigC(c,a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),bigC(c,a,b)))) != product(product(a,c),c)
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),bigC(c,a,b)))),product(product(a,c),c)) ),[0,1,1],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_5140,plain,
    ( product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),bigC(c,a,b)))) != product(product(a,c),c)
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3982,refute_0_5139]) ).

cnf(refute_0_5141,plain,
    product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),bigC(c,a,b)))),product(product(a,c),c)) )],[refute_0_5138,refute_0_5140]) ).

cnf(refute_0_5142,plain,
    product(product(a,a),b) = product(product(a,a),b),
    introduced(tautology,[refl,[$fot(product(product(a,a),b))]]) ).

cnf(refute_0_5143,plain,
    ( product(a,a) != a
    | product(product(a,a),b) != product(product(a,a),b)
    | product(product(a,a),b) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),b),product(product(a,a),b)) ),[1,0],$fot(a)]]) ).

cnf(refute_0_5144,plain,
    ( product(a,a) != a
    | product(product(a,a),b) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),b),product(product(a,a),b)) )],[refute_0_5142,refute_0_5143]) ).

cnf(refute_0_5145,plain,
    product(product(a,a),b) = product(a,b),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_5144]) ).

cnf(refute_0_5146,plain,
    product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(product(bigC(c,a,b),a),product(product(a,a),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),product(product(a,a),b)))]]) ).

cnf(refute_0_5147,plain,
    ( product(product(a,a),b) != product(a,b)
    | product(product(bigC(c,a,b),a),product(product(a,a),b)) != product(product(bigC(c,a,b),a),product(product(a,a),b))
    | product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(product(bigC(c,a,b),a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,a),b)),product(product(bigC(c,a,b),a),product(product(a,a),b))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_5148,plain,
    ( product(product(a,a),b) != product(a,b)
    | product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(product(bigC(c,a,b),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,a),b)),product(product(bigC(c,a,b),a),product(product(a,a),b))) )],[refute_0_5146,refute_0_5147]) ).

cnf(refute_0_5149,plain,
    product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(product(bigC(c,a,b),a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),b),product(a,b)) )],[refute_0_5145,refute_0_5148]) ).

cnf(refute_0_5150,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | product(product(bigC(c,a,b),a),product(product(a,a),b)) != product(product(bigC(c,a,b),a),product(a,b))
    | product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),a),product(product(a,a),b)))),bind(Y,$fot(product(product(bigC(c,a,b),a),product(a,b)))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_5151,plain,
    ( product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,a),b)),product(product(bigC(c,a,b),a),product(a,b))) )],[refute_0_5149,refute_0_5150]) ).

cnf(refute_0_5152,plain,
    product(product(bigC(c,a,b),a),product(product(a,a),b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_584,refute_0_5151]) ).

cnf(refute_0_5153,plain,
    product(product(bigC(c,a,b),product(a,a)),product(a,b)) = product(product(bigC(c,a,b),a),product(product(a,a),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(a)),bind(C,$fot(product(a,a))),bind(D,$fot(b))]]) ).

cnf(refute_0_5154,plain,
    product(product(X_63,X_64),product(product(a,c),product(c,b))) = product(product(X_63,product(a,c)),product(X_64,product(c,b))),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(product(a,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_5155,plain,
    ( product(product(X_63,X_64),product(product(a,c),product(c,b))) != product(product(X_63,product(a,c)),product(X_64,product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | product(product(X_63,X_64),product(a,b)) = product(product(X_63,product(a,c)),product(X_64,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(a,c),product(c,b))),product(product(X_63,product(a,c)),product(X_64,product(c,b)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_5156,plain,
    ( product(product(X_63,X_64),product(product(a,c),product(c,b))) != product(product(X_63,product(a,c)),product(X_64,product(c,b)))
    | product(product(X_63,X_64),product(a,b)) = product(product(X_63,product(a,c)),product(X_64,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_5155]) ).

cnf(refute_0_5157,plain,
    product(product(X_63,X_64),product(a,b)) = product(product(X_63,product(a,c)),product(X_64,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(a,c),product(c,b))),product(product(X_63,product(a,c)),product(X_64,product(c,b)))) )],[refute_0_5154,refute_0_5156]) ).

cnf(refute_0_5158,plain,
    ( product(product(X_63,X_64),product(a,b)) != product(product(X_63,product(a,c)),product(X_64,product(c,b)))
    | product(product(X_63,product(a,c)),product(X_64,product(c,b))) = product(product(X_63,X_64),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),product(a,b)))),bind(Y,$fot(product(product(X_63,product(a,c)),product(X_64,product(c,b)))))]]) ).

cnf(refute_0_5159,plain,
    product(product(X_63,product(a,c)),product(X_64,product(c,b))) = product(product(X_63,X_64),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(a,b)),product(product(X_63,product(a,c)),product(X_64,product(c,b)))) )],[refute_0_5157,refute_0_5158]) ).

cnf(refute_0_5160,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) = product(product(bigC(c,a,b),product(a,a)),product(a,b)),
    inference(subst,[],[refute_0_5159:[bind(X_63,$fot(bigC(c,a,b))),bind(X_64,$fot(product(a,a)))]]) ).

cnf(refute_0_5161,plain,
    ( product(product(bigC(c,a,b),product(a,a)),product(a,b)) != product(product(bigC(c,a,b),a),product(product(a,a),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) != product(product(bigC(c,a,b),product(a,a)),product(a,b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) = product(product(bigC(c,a,b),a),product(product(a,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))))),bind(Y,$fot(product(product(bigC(c,a,b),product(a,a)),product(a,b)))),bind(Z,$fot(product(product(bigC(c,a,b),a),product(product(a,a),b))))]]) ).

cnf(refute_0_5162,plain,
    ( product(product(bigC(c,a,b),product(a,a)),product(a,b)) != product(product(bigC(c,a,b),a),product(product(a,a),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) = product(product(bigC(c,a,b),a),product(product(a,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))),product(product(bigC(c,a,b),product(a,a)),product(a,b))) )],[refute_0_5160,refute_0_5161]) ).

cnf(refute_0_5163,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) = product(product(bigC(c,a,b),a),product(product(a,a),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,a)),product(a,b)),product(product(bigC(c,a,b),a),product(product(a,a),b))) )],[refute_0_5153,refute_0_5162]) ).

cnf(refute_0_5164,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(bigC(c,a,b),product(a,c)))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_5165,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) != product(product(bigC(c,a,b),a),product(product(a,a),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) != product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b)))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(product(bigC(c,a,b),a),product(product(a,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))))),bind(Z,$fot(product(product(bigC(c,a,b),a),product(product(a,a),b))))]]) ).

cnf(refute_0_5166,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))) != product(product(bigC(c,a,b),a),product(product(a,a),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(product(bigC(c,a,b),a),product(product(a,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b)))) )],[refute_0_5164,refute_0_5165]) ).

cnf(refute_0_5167,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(product(bigC(c,a,b),a),product(product(a,a),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,a),product(c,b))),product(product(bigC(c,a,b),a),product(product(a,a),b))) )],[refute_0_5163,refute_0_5166]) ).

cnf(refute_0_5168,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,a),b)) != product(a,c)
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) != product(product(bigC(c,a,b),a),product(product(a,a),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(bigC(c,a,b),a),product(product(a,a),b)))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_5169,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,a),b)) != product(a,c)
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(bigC(c,a,b),a),product(product(a,a),b))) )],[refute_0_5167,refute_0_5168]) ).

cnf(refute_0_5170,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,a),b)),product(a,c)) )],[refute_0_5152,refute_0_5169]) ).

cnf(refute_0_5171,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_5172,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) != product(a,c)
    | product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_5173,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))) != product(a,c)
    | product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) )],[refute_0_5171,refute_0_5172]) ).

cnf(refute_0_5174,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(a,c)) )],[refute_0_5170,refute_0_5173]) ).

cnf(refute_0_5175,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),
    inference(subst,[],[refute_0_1229:[bind(A,$fot(product(bigC(c,a,b),product(a,c)))),bind(C,$fot(product(product(product(a,c),c),c))),bind(X_63,$fot(product(a,c))),bind(X_64,$fot(product(a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_5176,plain,
    product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(product(a,c),c),product(product(a,b),bigC(c,a,c))))),bind(X_63,$fot(bigC(c,a,b))),bind(X_64,$fot(product(a,c))),bind(X_65,$fot(product(product(a,c),c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_5177,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))))),bind(Y,$fot(product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))))),bind(Z,$fot(product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))))]]) ).

cnf(refute_0_5178,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c))))) )],[refute_0_5176,refute_0_5177]) ).

cnf(refute_0_5179,plain,
    product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) )],[refute_0_5175,refute_0_5178]) ).

cnf(refute_0_5180,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) != product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))))),bind(Y,$fot(product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))))),bind(Z,$fot(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))))]]) ).

cnf(refute_0_5181,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) != product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) )],[refute_0_5179,refute_0_5180]) ).

cnf(refute_0_5182,plain,
    product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) = product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),product(a,b))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) )],[refute_0_5174,refute_0_5181]) ).

cnf(refute_0_5183,plain,
    ( product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(a,c),c)
    | product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))
    | product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(a,c),c)) ),[0],$fot(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_5184,plain,
    ( product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))) != product(product(a,c),c)
    | product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) )],[refute_0_5182,refute_0_5183]) ).

cnf(refute_0_5185,plain,
    product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(a,b),bigC(c,a,c)))),product(product(a,c),c)) )],[refute_0_5141,refute_0_5184]) ).

cnf(refute_0_5186,plain,
    ( difference(product(a,c),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) != product(product(a,c),c)
    | difference(product(a,c),product(product(a,c),c)) = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),[0,1],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_5187,plain,
    ( difference(product(a,c),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | difference(product(a,c),product(product(a,c),c)) = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(product(a,c),c)) )],[refute_0_5185,refute_0_5186]) ).

cnf(refute_0_5188,plain,
    difference(product(a,c),product(product(a,c),c)) = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) )],[refute_0_5137,refute_0_5187]) ).

cnf(refute_0_5189,plain,
    ( difference(product(a,c),product(product(a,c),c)) != c
    | difference(product(a,c),product(product(a,c),c)) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | c = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),c)),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),[0],$fot(c)]]) ).

cnf(refute_0_5190,plain,
    ( difference(product(a,c),product(product(a,c),c)) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | c = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),c)),c) )],[refute_0_350,refute_0_5189]) ).

cnf(refute_0_5191,plain,
    c = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),c)),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) )],[refute_0_5188,refute_0_5190]) ).

cnf(refute_0_5192,plain,
    product(product(product(a,c),c),c) = product(product(product(a,c),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),c))]]) ).

cnf(refute_0_5193,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),c) != product(product(product(a,c),c),c)
    | product(product(product(a,c),c),c) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),c),product(product(product(a,c),c),c)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5194,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),c) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(product(a,c),c),c)) )],[refute_0_5192,refute_0_5193]) ).

cnf(refute_0_5195,plain,
    product(product(product(a,c),c),c) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_5194]) ).

cnf(refute_0_5196,plain,
    product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_5197,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5198,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) )],[refute_0_5196,refute_0_5197]) ).

cnf(refute_0_5199,plain,
    product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_5198]) ).

cnf(refute_0_5200,plain,
    ( c != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) != product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))
    | c = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c,product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))) ),[0],$fot(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_5201,plain,
    ( c != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | c = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))) )],[refute_0_5199,refute_0_5200]) ).

cnf(refute_0_5202,plain,
    c = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(c,product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) )],[refute_0_5191,refute_0_5201]) ).

cnf(refute_0_5203,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),c) = bigC(bigC(a,a,b),c,bigC(c,b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(c)),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_5204,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b))),
    inference(subst,[],[sos08:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_5205,plain,
    product(product(a,product(c,b)),difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))) = product(bigC(a,a,c),product(b,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_5206,plain,
    difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(b,c))) = product(product(b,c),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_5207,plain,
    bigC(product(a,c),product(b,c),product(a,b)) = product(bigC(a,a,c),product(product(b,c),product(b,c))),
    inference(subst,[],[refute_0_387:[bind(X_42,$fot(product(b,c)))]]) ).

cnf(refute_0_5208,plain,
    product(product(b,c),product(b,c)) = product(b,c),
    inference(subst,[],[sos06:[bind(A,$fot(product(b,c)))]]) ).

cnf(refute_0_5209,plain,
    ( bigC(product(a,c),product(b,c),product(a,b)) != product(bigC(a,a,c),product(product(b,c),product(b,c)))
    | product(product(b,c),product(b,c)) != product(b,c)
    | bigC(product(a,c),product(b,c),product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(b,c),product(a,b)),product(bigC(a,a,c),product(product(b,c),product(b,c)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_5210,plain,
    ( bigC(product(a,c),product(b,c),product(a,b)) != product(bigC(a,a,c),product(product(b,c),product(b,c)))
    | bigC(product(a,c),product(b,c),product(a,b)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,c)),product(b,c)) )],[refute_0_5208,refute_0_5209]) ).

cnf(refute_0_5211,plain,
    bigC(product(a,c),product(b,c),product(a,b)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,c),product(a,b)),product(bigC(a,a,c),product(product(b,c),product(b,c)))) )],[refute_0_5207,refute_0_5210]) ).

cnf(refute_0_5212,plain,
    bigC(product(a,c),product(b,c),product(a,b)) = bigC(product(a,c),product(a,b),product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,b))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_5213,plain,
    ( bigC(product(a,c),product(b,c),product(a,b)) != bigC(product(a,c),product(a,b),product(b,c))
    | bigC(product(a,c),product(b,c),product(a,b)) != product(bigC(a,a,c),product(b,c))
    | bigC(product(a,c),product(a,b),product(b,c)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(b,c),product(a,b)),product(bigC(a,a,c),product(b,c))) ),[0],$fot(bigC(product(a,c),product(a,b),product(b,c)))]]) ).

cnf(refute_0_5214,plain,
    ( bigC(product(a,c),product(b,c),product(a,b)) != product(bigC(a,a,c),product(b,c))
    | bigC(product(a,c),product(a,b),product(b,c)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,c),product(a,b)),bigC(product(a,c),product(a,b),product(b,c))) )],[refute_0_5212,refute_0_5213]) ).

cnf(refute_0_5215,plain,
    bigC(product(a,c),product(a,b),product(b,c)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,c),product(a,b)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5211,refute_0_5214]) ).

cnf(refute_0_5216,plain,
    ( bigC(product(a,c),product(a,b),product(b,c)) != product(bigC(a,a,c),product(b,c))
    | difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(b,c))) != product(product(b,c),product(a,c))
    | difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(b,c))),product(product(b,c),product(a,c))) ),[0,1],$fot(product(bigC(a,a,c),product(b,c)))]]) ).

cnf(refute_0_5217,plain,
    ( difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(b,c))) != product(product(b,c),product(a,c))
    | difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5215,refute_0_5216]) ).

cnf(refute_0_5218,plain,
    difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(b,c))),product(product(b,c),product(a,c))) )],[refute_0_5206,refute_0_5217]) ).

cnf(refute_0_5219,plain,
    difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_5220,plain,
    ( difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) != difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c)))
    | product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))),difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c)))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_5221,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))),difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c)))) )],[refute_0_5219,refute_0_5220]) ).

cnf(refute_0_5222,plain,
    difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) = difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_5221]) ).

cnf(refute_0_5223,plain,
    ( difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) != difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))
    | difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) != product(product(b,c),product(a,c))
    | difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))),product(product(b,c),product(a,c))) ),[0],$fot(difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_5224,plain,
    ( difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) != product(product(b,c),product(a,c))
    | difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))),difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))) )],[refute_0_5222,refute_0_5223]) ).

cnf(refute_0_5225,plain,
    product(product(b,a),product(c,c)) = product(product(b,a),product(c,c)),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(c,c)))]]) ).

cnf(refute_0_5226,plain,
    ( product(c,c) != c
    | product(product(b,a),product(c,c)) != product(product(b,a),product(c,c))
    | product(product(b,a),product(c,c)) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(c,c)),product(product(b,a),product(c,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5227,plain,
    ( product(c,c) != c
    | product(product(b,a),product(c,c)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,c)),product(product(b,a),product(c,c))) )],[refute_0_5225,refute_0_5226]) ).

cnf(refute_0_5228,plain,
    product(product(b,a),product(c,c)) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_5227]) ).

cnf(refute_0_5229,plain,
    product(product(b,c),product(a,c)) = product(product(b,a),product(c,c)),
    inference(subst,[],[refute_0_3805:[bind(A,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_5230,plain,
    ( product(product(b,a),product(c,c)) != product(product(b,a),c)
    | product(product(b,c),product(a,c)) != product(product(b,a),product(c,c))
    | product(product(b,c),product(a,c)) = product(product(b,a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(a,c)))),bind(Y,$fot(product(product(b,a),product(c,c)))),bind(Z,$fot(product(product(b,a),c)))]]) ).

cnf(refute_0_5231,plain,
    ( product(product(b,a),product(c,c)) != product(product(b,a),c)
    | product(product(b,c),product(a,c)) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(a,c)),product(product(b,a),product(c,c))) )],[refute_0_5229,refute_0_5230]) ).

cnf(refute_0_5232,plain,
    product(product(b,c),product(a,c)) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,c)),product(product(b,a),c)) )],[refute_0_5228,refute_0_5231]) ).

cnf(refute_0_5233,plain,
    ( difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) != product(product(b,c),product(a,c))
    | product(product(b,c),product(a,c)) != product(product(b,a),c)
    | difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))),product(product(b,a),c)) ),[0],$fot(product(product(b,c),product(a,c)))]]) ).

cnf(refute_0_5234,plain,
    ( difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) != product(product(b,c),product(a,c))
    | difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(a,c)),product(product(b,a),c)) )],[refute_0_5232,refute_0_5233]) ).

cnf(refute_0_5235,plain,
    ( difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))) != product(product(b,c),product(a,c))
    | difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))),product(product(b,c),product(a,c))) )],[refute_0_5224,refute_0_5234]) ).

cnf(refute_0_5236,plain,
    difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(bigC(a,a,c),product(b,c))),product(product(b,c),product(a,c))) )],[refute_0_5218,refute_0_5235]) ).

cnf(refute_0_5237,plain,
    ( difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))) != product(product(b,a),c)
    | product(product(a,product(c,b)),difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))) != product(bigC(a,a,c),product(b,c))
    | product(product(a,product(c,b)),product(product(b,a),c)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))),product(bigC(a,a,c),product(b,c))) ),[0,1],$fot(product(product(b,a),c))]]) ).

cnf(refute_0_5238,plain,
    ( product(product(a,product(c,b)),difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))) != product(bigC(a,a,c),product(b,c))
    | product(product(a,product(c,b)),product(product(b,a),c)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c))),product(product(b,a),c)) )],[refute_0_5236,refute_0_5237]) ).

cnf(refute_0_5239,plain,
    product(product(a,product(c,b)),product(product(b,a),c)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),difference(product(a,product(c,b)),product(bigC(a,a,c),product(b,c)))),product(bigC(a,a,c),product(b,c))) )],[refute_0_5205,refute_0_5238]) ).

cnf(refute_0_5240,plain,
    product(bigC(a,a,b),product(product(c,b),c)) = product(bigC(a,a,b),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(c,b),c)))]]) ).

cnf(refute_0_5241,plain,
    ( product(bigC(a,a,b),product(product(c,b),c)) != product(bigC(a,a,b),product(product(c,b),c))
    | product(product(c,b),c) != bigC(c,b,c)
    | product(bigC(a,a,b),product(product(c,b),c)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),c)),product(bigC(a,a,b),product(product(c,b),c))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_5242,plain,
    ( product(product(c,b),c) != bigC(c,b,c)
    | product(bigC(a,a,b),product(product(c,b),c)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),c)),product(bigC(a,a,b),product(product(c,b),c))) )],[refute_0_5240,refute_0_5241]) ).

cnf(refute_0_5243,plain,
    product(bigC(a,a,b),product(product(c,b),c)) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_395,refute_0_5242]) ).

cnf(refute_0_5244,plain,
    product(a,product(b,a)) = bigC(a,a,b),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(a)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_5245,plain,
    product(product(a,product(b,a)),product(product(c,b),c)) = product(product(a,product(b,a)),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,a)),product(product(c,b),c)))]]) ).

cnf(refute_0_5246,plain,
    ( product(a,product(b,a)) != bigC(a,a,b)
    | product(product(a,product(b,a)),product(product(c,b),c)) != product(product(a,product(b,a)),product(product(c,b),c))
    | product(product(a,product(b,a)),product(product(c,b),c)) = product(bigC(a,a,b),product(product(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,a)),product(product(c,b),c)),product(product(a,product(b,a)),product(product(c,b),c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5247,plain,
    ( product(a,product(b,a)) != bigC(a,a,b)
    | product(product(a,product(b,a)),product(product(c,b),c)) = product(bigC(a,a,b),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,a)),product(product(c,b),c)),product(product(a,product(b,a)),product(product(c,b),c))) )],[refute_0_5245,refute_0_5246]) ).

cnf(refute_0_5248,plain,
    product(product(a,product(b,a)),product(product(c,b),c)) = product(bigC(a,a,b),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,a)),bigC(a,a,b)) )],[refute_0_5244,refute_0_5247]) ).

cnf(refute_0_5249,plain,
    ( product(bigC(a,a,b),product(product(c,b),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(a,product(b,a)),product(product(c,b),c)) != product(bigC(a,a,b),product(product(c,b),c))
    | product(product(a,product(b,a)),product(product(c,b),c)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,a)),product(product(c,b),c)))),bind(Y,$fot(product(bigC(a,a,b),product(product(c,b),c)))),bind(Z,$fot(product(bigC(a,a,b),bigC(c,b,c))))]]) ).

cnf(refute_0_5250,plain,
    ( product(bigC(a,a,b),product(product(c,b),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(a,product(b,a)),product(product(c,b),c)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,a)),product(product(c,b),c)),product(bigC(a,a,b),product(product(c,b),c))) )],[refute_0_5248,refute_0_5249]) ).

cnf(refute_0_5251,plain,
    product(product(a,product(b,a)),product(product(c,b),c)) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),c)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_5243,refute_0_5250]) ).

cnf(refute_0_5252,plain,
    product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(C,$fot(product(product(c,product(c,b)),bigC(c,b,b))))]]) ).

cnf(refute_0_5253,plain,
    ( product(a,product(product(c,product(c,b)),bigC(c,b,b))) != product(a,product(c,b))
    | product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) != product(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(B,D))
    | product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(B,D))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_5254,plain,
    ( product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) != product(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(B,D))
    | product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(a,product(c,b))) )],[refute_0_2260,refute_0_5253]) ).

cnf(refute_0_5255,plain,
    product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,product(product(c,product(c,b)),bigC(c,b,b))),product(B,D))) )],[refute_0_5252,refute_0_5254]) ).

cnf(refute_0_5256,plain,
    product(product(product(c,product(c,b)),bigC(c,b,b)),D) = product(product(product(c,product(c,b)),bigC(c,b,b)),D),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),bigC(c,b,b)),D))]]) ).

cnf(refute_0_5257,plain,
    ( product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | product(product(product(c,product(c,b)),bigC(c,b,b)),D) != product(product(product(c,product(c,b)),bigC(c,b,b)),D)
    | product(product(product(c,product(c,b)),bigC(c,b,b)),D) = product(product(c,b),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),bigC(c,b,b)),D),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_5258,plain,
    ( product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | product(product(product(c,product(c,b)),bigC(c,b,b)),D) = product(product(c,b),D) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),bigC(c,b,b)),D),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) )],[refute_0_5256,refute_0_5257]) ).

cnf(refute_0_5259,plain,
    product(product(product(c,product(c,b)),bigC(c,b,b)),D) = product(product(c,b),D),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,b)),product(c,b)) )],[refute_0_2269,refute_0_5258]) ).

cnf(refute_0_5260,plain,
    product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),
    introduced(tautology,[refl,[$fot(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)))]]) ).

cnf(refute_0_5261,plain,
    ( product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) != product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D))
    | product(product(product(c,product(c,b)),bigC(c,b,b)),D) != product(product(c,b),D)
    | product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,B),product(product(c,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D))) ),[1,1],$fot(product(product(c,b),D))]]) ).

cnf(refute_0_5262,plain,
    ( product(product(product(c,product(c,b)),bigC(c,b,b)),D) != product(product(c,b),D)
    | product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,B),product(product(c,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D))) )],[refute_0_5260,refute_0_5261]) ).

cnf(refute_0_5263,plain,
    product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) = product(product(a,B),product(product(c,b),D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),bigC(c,b,b)),D),product(product(c,b),D)) )],[refute_0_5259,refute_0_5262]) ).

cnf(refute_0_5264,plain,
    ( product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) != product(product(a,B),product(product(c,b),D))
    | product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(a,B),product(product(c,b),D)) = product(product(a,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,product(c,b)),product(B,D))) ),[0],$fot(product(product(a,B),product(product(c,b),D)))]]) ).

cnf(refute_0_5265,plain,
    ( product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(a,B),product(product(c,b),D)) = product(product(a,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,B),product(product(c,b),D))) )],[refute_0_5263,refute_0_5264]) ).

cnf(refute_0_5266,plain,
    product(product(a,B),product(product(c,b),D)) = product(product(a,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(c,product(c,b)),bigC(c,b,b)),D)),product(product(a,product(c,b)),product(B,D))) )],[refute_0_5255,refute_0_5265]) ).

cnf(refute_0_5267,plain,
    ( product(product(a,B),product(product(c,b),D)) != product(product(a,product(c,b)),product(B,D))
    | product(product(a,product(c,b)),product(B,D)) = product(product(a,B),product(product(c,b),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,B),product(product(c,b),D)))),bind(Y,$fot(product(product(a,product(c,b)),product(B,D))))]]) ).

cnf(refute_0_5268,plain,
    product(product(a,product(c,b)),product(B,D)) = product(product(a,B),product(product(c,b),D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(c,b),D)),product(product(a,product(c,b)),product(B,D))) )],[refute_0_5266,refute_0_5267]) ).

cnf(refute_0_5269,plain,
    product(product(a,product(c,b)),product(product(b,a),c)) = product(product(a,product(b,a)),product(product(c,b),c)),
    inference(subst,[],[refute_0_5268:[bind(B,$fot(product(b,a))),bind(D,$fot(c))]]) ).

cnf(refute_0_5270,plain,
    ( product(product(a,product(b,a)),product(product(c,b),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(a,product(c,b)),product(product(b,a),c)) != product(product(a,product(b,a)),product(product(c,b),c))
    | product(product(a,product(c,b)),product(product(b,a),c)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,b)),product(product(b,a),c)))),bind(Y,$fot(product(product(a,product(b,a)),product(product(c,b),c)))),bind(Z,$fot(product(bigC(a,a,b),bigC(c,b,c))))]]) ).

cnf(refute_0_5271,plain,
    ( product(product(a,product(b,a)),product(product(c,b),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(a,product(c,b)),product(product(b,a),c)) = product(bigC(a,a,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(b,a),c)),product(product(a,product(b,a)),product(product(c,b),c))) )],[refute_0_5269,refute_0_5270]) ).

cnf(refute_0_5272,plain,
    product(product(a,product(c,b)),product(product(b,a),c)) = product(bigC(a,a,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,a)),product(product(c,b),c)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_5251,refute_0_5271]) ).

cnf(refute_0_5273,plain,
    ( product(product(a,product(c,b)),product(product(b,a),c)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(product(a,product(c,b)),product(product(b,a),c)) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(product(b,a),c)),product(bigC(a,a,c),product(b,c))) ),[0],$fot(product(bigC(a,a,b),bigC(c,b,c)))]]) ).

cnf(refute_0_5274,plain,
    ( product(product(a,product(c,b)),product(product(b,a),c)) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(b,a),c)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_5272,refute_0_5273]) ).

cnf(refute_0_5275,plain,
    product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(b,a),c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5239,refute_0_5274]) ).

cnf(refute_0_5276,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b)))
    | product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,c),product(b,c))
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b)))) ),[1,0],$fot(product(bigC(a,a,c),product(b,c)))]]) ).

cnf(refute_0_5277,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5275,refute_0_5276]) ).

cnf(refute_0_5278,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(bigC(a,a,b),bigC(c,b,c)),product(C,bigC(a,a,b)))) )],[refute_0_5204,refute_0_5277]) ).

cnf(refute_0_5279,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,c),product(b,c)) = product(product(a,b),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,b),bigC(c,a,c)))),bind(Y,$fot(product(bigC(a,a,c),product(b,c))))]]) ).

cnf(refute_0_5280,plain,
    product(bigC(a,a,c),product(b,c)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_3971,refute_0_5279]) ).

cnf(refute_0_5281,plain,
    product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) = product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_5282,plain,
    ( product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) != product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b)))
    | product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))),product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b)))) ),[1,0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_5283,plain,
    ( product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))),product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b)))) )],[refute_0_5281,refute_0_5282]) ).

cnf(refute_0_5284,plain,
    product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),product(product(a,b),bigC(c,a,c))) )],[refute_0_5280,refute_0_5283]) ).

cnf(refute_0_5285,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b)))
    | product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))) != product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))) ),[0],$fot(product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_5286,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b))),product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))) )],[refute_0_5284,refute_0_5285]) ).

cnf(refute_0_5287,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(bigC(a,a,c),product(b,c)),product(C,bigC(a,a,b)))) )],[refute_0_5278,refute_0_5286]) ).

cnf(refute_0_5288,plain,
    product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) = product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_5289,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) != product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))
    | product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) = product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))),product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5290,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) = product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))),product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))) )],[refute_0_5288,refute_0_5289]) ).

cnf(refute_0_5291,plain,
    product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) = product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_5290]) ).

cnf(refute_0_5292,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))
    | product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))) != product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b)))) ),[0],$fot(product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))))]]) ).

cnf(refute_0_5293,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b))),product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b)))) )],[refute_0_5291,refute_0_5292]) ).

cnf(refute_0_5294,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),C) = product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(product(a,b),bigC(c,a,c)),product(C,bigC(a,a,b)))) )],[refute_0_5287,refute_0_5293]) ).

cnf(refute_0_5295,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),C) != product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b)))
    | product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(c,b,c),C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(bigC(a,a,b),bigC(c,b,c),C))),bind(Y,$fot(product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b)))))]]) ).

cnf(refute_0_5296,plain,
    product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(c,b,c),C),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),C),product(product(product(a,product(b,c)),c),product(C,bigC(a,a,b)))) )],[refute_0_5294,refute_0_5295]) ).

cnf(refute_0_5297,plain,
    product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) = bigC(bigC(a,a,b),bigC(c,b,c),c),
    inference(subst,[],[refute_0_5296:[bind(C,$fot(c))]]) ).

cnf(refute_0_5298,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),c) != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) != bigC(bigC(a,a,b),bigC(c,b,c),c)
    | product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) = bigC(bigC(a,a,b),c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(c,b,c),c))),bind(Z,$fot(bigC(bigC(a,a,b),c,bigC(c,b,c))))]]) ).

cnf(refute_0_5299,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),c) != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) = bigC(bigC(a,a,b),c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))),bigC(bigC(a,a,b),bigC(c,b,c),c)) )],[refute_0_5297,refute_0_5298]) ).

cnf(refute_0_5300,plain,
    product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) = bigC(bigC(a,a,b),c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),c),bigC(bigC(a,a,b),c,bigC(c,b,c))) )],[refute_0_5203,refute_0_5299]) ).

cnf(refute_0_5301,plain,
    product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_5302,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) != product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))) ),[1,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_5303,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))) )],[refute_0_5301,refute_0_5302]) ).

cnf(refute_0_5304,plain,
    product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_4777,refute_0_5303]) ).

cnf(refute_0_5305,plain,
    ( product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) != product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b)))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = bigC(bigC(a,a,b),c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))))),bind(Y,$fot(product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))))),bind(Z,$fot(bigC(bigC(a,a,b),c,bigC(c,b,c))))]]) ).

cnf(refute_0_5306,plain,
    ( product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))) != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = bigC(bigC(a,a,b),c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b)))) )],[refute_0_5304,refute_0_5305]) ).

cnf(refute_0_5307,plain,
    product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) = bigC(bigC(a,a,b),c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(c,bigC(a,a,b))),bigC(bigC(a,a,b),c,bigC(c,b,c))) )],[refute_0_5300,refute_0_5306]) ).

cnf(refute_0_5308,plain,
    ( c != product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))
    | product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))) != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | c = bigC(bigC(a,a,b),c,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c,bigC(bigC(a,a,b),c,bigC(c,b,c))) ),[0],$fot(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_5309,plain,
    ( c != product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))
    | c = bigC(bigC(a,a,b),c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c))),bigC(bigC(a,a,b),c,bigC(c,b,c))) )],[refute_0_5307,refute_0_5308]) ).

cnf(refute_0_5310,plain,
    c = bigC(bigC(a,a,b),c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(c,product(product(product(a,product(b,c)),c),product(c,bigC(c,a,c)))) )],[refute_0_5202,refute_0_5309]) ).

cnf(refute_0_5311,plain,
    bigC(bigC(a,a,b),c,bigC(c,b,c)) = bigC(bigC(a,a,b),c,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),c,bigC(c,b,c)))]]) ).

cnf(refute_0_5312,plain,
    ( bigC(bigC(a,a,b),c,bigC(c,b,c)) != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(a,a,b),c,bigC(c,b,c)) = bigC(bigC(a,a,b),c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),c,bigC(c,b,c)),bigC(bigC(a,a,b),c,bigC(c,b,c))) ),[1,2],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_5313,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(a,a,b),c,bigC(c,b,c)) = bigC(bigC(a,a,b),c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),c,bigC(c,b,c)),bigC(bigC(a,a,b),c,bigC(c,b,c))) )],[refute_0_5311,refute_0_5312]) ).

cnf(refute_0_5314,plain,
    bigC(bigC(a,a,b),c,bigC(c,b,c)) = bigC(bigC(a,a,b),c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_5313]) ).

cnf(refute_0_5315,plain,
    ( bigC(bigC(a,a,b),c,bigC(c,b,c)) != bigC(bigC(a,a,b),c,bigC(b,a,b))
    | c != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | c = bigC(bigC(a,a,b),c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(c,bigC(bigC(a,a,b),c,bigC(c,b,c))) ),[1],$fot(bigC(bigC(a,a,b),c,bigC(b,a,b)))]]) ).

cnf(refute_0_5316,plain,
    ( c != bigC(bigC(a,a,b),c,bigC(c,b,c))
    | c = bigC(bigC(a,a,b),c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),c,bigC(c,b,c)),bigC(bigC(a,a,b),c,bigC(b,a,b))) )],[refute_0_5314,refute_0_5315]) ).

cnf(refute_0_5317,plain,
    c = bigC(bigC(a,a,b),c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(c,bigC(bigC(a,a,b),c,bigC(c,b,c))) )],[refute_0_5310,refute_0_5316]) ).

cnf(refute_0_5318,plain,
    ( c != bigC(bigC(a,a,b),c,bigC(b,a,b))
    | bigC(bigC(a,a,b),c,bigC(b,a,b)) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(bigC(bigC(a,a,b),c,bigC(b,a,b))))]]) ).

cnf(refute_0_5319,plain,
    bigC(bigC(a,a,b),c,bigC(b,a,b)) = c,
    inference(resolve,[$cnf( $equal(c,bigC(bigC(a,a,b),c,bigC(b,a,b))) )],[refute_0_5317,refute_0_5318]) ).

cnf(refute_0_5320,plain,
    ( bigC(bigC(a,a,b),c,bigC(b,a,b)) != c
    | difference(product(bigC(a,a,b),c),bigC(bigC(a,a,b),c,bigC(b,a,b))) != product(bigC(b,a,b),bigC(a,a,b))
    | difference(product(bigC(a,a,b),c),c) = product(bigC(b,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),c),bigC(bigC(a,a,b),c,bigC(b,a,b))),product(bigC(b,a,b),bigC(a,a,b))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_5321,plain,
    ( difference(product(bigC(a,a,b),c),bigC(bigC(a,a,b),c,bigC(b,a,b))) != product(bigC(b,a,b),bigC(a,a,b))
    | difference(product(bigC(a,a,b),c),c) = product(bigC(b,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),c,bigC(b,a,b)),c) )],[refute_0_5319,refute_0_5320]) ).

cnf(refute_0_5322,plain,
    difference(product(bigC(a,a,b),c),c) = product(bigC(b,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),bigC(bigC(a,a,b),c,bigC(b,a,b))),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_5136,refute_0_5321]) ).

cnf(refute_0_5323,plain,
    difference(product(bigC(c,a,c),c),bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))) = product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(bigC(c,a,c))),bind(X_22,$fot(c)),bind(X_23,$fot(difference(bigC(c,a,c),product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_5324,plain,
    bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) = product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(product(product(a,c),c),c))),bind(X_21,$fot(bigC(c,a,c))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_5325,plain,
    ( c != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_5326,plain,
    product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) = c,
    inference(resolve,[$cnf( $equal(c,product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) )],[refute_0_5191,refute_0_5325]) ).

cnf(refute_0_5327,plain,
    ( bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) != c
    | bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c),c) ),[0],$fot(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))))]]) ).

cnf(refute_0_5328,plain,
    ( bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) != product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))
    | bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),c) )],[refute_0_5326,refute_0_5327]) ).

cnf(refute_0_5329,plain,
    bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) = c,
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) )],[refute_0_5324,refute_0_5328]) ).

cnf(refute_0_5330,plain,
    bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) = bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(c,a,c))),bind(B,$fot(c)),bind(C,$fot(difference(bigC(c,a,c),product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_5331,plain,
    ( bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) != bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))
    | bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) != c
    | bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c),c) ),[0],$fot(bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_5332,plain,
    ( bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c) != c
    | bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))) = c ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c),bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))) )],[refute_0_5330,refute_0_5331]) ).

cnf(refute_0_5333,plain,
    bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))) = c,
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),difference(bigC(c,a,c),product(product(product(a,c),c),c)),c),c) )],[refute_0_5329,refute_0_5332]) ).

cnf(refute_0_5334,plain,
    ( bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))) != c
    | difference(product(bigC(c,a,c),c),bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))) != product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))
    | difference(product(bigC(c,a,c),c),c) = product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),c),bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))),product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_5335,plain,
    ( difference(product(bigC(c,a,c),c),bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))) != product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))
    | difference(product(bigC(c,a,c),c),c) = product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c))),c) )],[refute_0_5333,refute_0_5334]) ).

cnf(refute_0_5336,plain,
    difference(product(bigC(c,a,c),c),c) = product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),bigC(bigC(c,a,c),c,difference(bigC(c,a,c),product(product(product(a,c),c),c)))),product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))) )],[refute_0_5323,refute_0_5335]) ).

cnf(refute_0_5337,plain,
    product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(product(product(a,c),c),c))),bind(X_74,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_5338,plain,
    ( difference(product(bigC(c,a,c),c),c) != product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))
    | product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)) != difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))
    | difference(product(bigC(c,a,c),c),c) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,c),c),c),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) ),[0],$fot(product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)))]]) ).

cnf(refute_0_5339,plain,
    ( difference(product(bigC(c,a,c),c),c) != product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))
    | difference(product(bigC(c,a,c),c),c) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c)),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) )],[refute_0_5337,refute_0_5338]) ).

cnf(refute_0_5340,plain,
    difference(product(bigC(c,a,c),c),c) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),c),product(difference(bigC(c,a,c),product(product(product(a,c),c),c)),bigC(c,a,c))) )],[refute_0_5336,refute_0_5339]) ).

cnf(refute_0_5341,plain,
    difference(product(bigC(X_20,X_80,X_20),X_20),X_20) = product(X_20,product(X_20,quotient(bigC(X_20,X_80,X_20),X_20))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(bigC(X_20,X_80,X_20)))]]) ).

cnf(refute_0_5342,plain,
    quotient(bigC(X_20,X_80,X_20),X_20) = product(X_20,X_80),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(X_20)),bind(X_77,$fot(X_80))]]) ).

cnf(refute_0_5343,plain,
    ( difference(product(bigC(X_20,X_80,X_20),X_20),X_20) != product(X_20,product(X_20,quotient(bigC(X_20,X_80,X_20),X_20)))
    | quotient(bigC(X_20,X_80,X_20),X_20) != product(X_20,X_80)
    | difference(product(bigC(X_20,X_80,X_20),X_20),X_20) = product(X_20,product(X_20,product(X_20,X_80))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(X_20,X_80,X_20),X_20),X_20),product(X_20,product(X_20,quotient(bigC(X_20,X_80,X_20),X_20)))) ),[1,1,1],$fot(product(X_20,X_80))]]) ).

cnf(refute_0_5344,plain,
    ( difference(product(bigC(X_20,X_80,X_20),X_20),X_20) != product(X_20,product(X_20,quotient(bigC(X_20,X_80,X_20),X_20)))
    | difference(product(bigC(X_20,X_80,X_20),X_20),X_20) = product(X_20,product(X_20,product(X_20,X_80))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(X_20,X_80,X_20),X_20),product(X_20,X_80)) )],[refute_0_5342,refute_0_5343]) ).

cnf(refute_0_5345,plain,
    difference(product(bigC(X_20,X_80,X_20),X_20),X_20) = product(X_20,product(X_20,product(X_20,X_80))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(X_20,X_80,X_20),X_20),X_20),product(X_20,product(X_20,quotient(bigC(X_20,X_80,X_20),X_20)))) )],[refute_0_5341,refute_0_5344]) ).

cnf(refute_0_5346,plain,
    difference(product(bigC(c,a,c),c),c) = product(c,product(c,product(c,a))),
    inference(subst,[],[refute_0_5345:[bind(X_20,$fot(c)),bind(X_80,$fot(a))]]) ).

cnf(refute_0_5347,plain,
    ( difference(product(bigC(c,a,c),c),c) != difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))
    | difference(product(bigC(c,a,c),c),c) != product(c,product(c,product(c,a)))
    | product(c,product(c,product(c,a))) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),c),c),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) ),[0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_5348,plain,
    ( difference(product(bigC(c,a,c),c),c) != difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))
    | product(c,product(c,product(c,a))) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),c),product(c,product(c,product(c,a)))) )],[refute_0_5346,refute_0_5347]) ).

cnf(refute_0_5349,plain,
    product(c,product(c,product(c,a))) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),c),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) )],[refute_0_5340,refute_0_5348]) ).

cnf(refute_0_5350,plain,
    product(product(product(product(a,c),c),c),bigC(c,a,c)) = product(product(product(product(a,c),c),c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),c),bigC(c,a,c)))]]) ).

cnf(refute_0_5351,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(a,c),c),c),bigC(c,a,c)) != product(product(product(product(a,c),c),c),bigC(c,a,c))
    | product(product(product(product(a,c),c),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),c),bigC(c,a,c)),product(product(product(product(a,c),c),c),bigC(c,a,c))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5352,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(a,c),c),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),bigC(c,a,c)),product(product(product(product(a,c),c),c),bigC(c,a,c))) )],[refute_0_5350,refute_0_5351]) ).

cnf(refute_0_5353,plain,
    product(product(product(product(a,c),c),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_5352]) ).

cnf(refute_0_5354,plain,
    difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) = difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))))]]) ).

cnf(refute_0_5355,plain,
    ( difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) != difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))
    | product(product(product(product(a,c),c),c),bigC(c,a,c)) != product(product(product(a,product(b,c)),c),bigC(c,a,c))
    | difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) ),[1,1],$fot(product(product(product(a,product(b,c)),c),bigC(c,a,c)))]]) ).

cnf(refute_0_5356,plain,
    ( product(product(product(product(a,c),c),c),bigC(c,a,c)) != product(product(product(a,product(b,c)),c),bigC(c,a,c))
    | difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) )],[refute_0_5354,refute_0_5355]) ).

cnf(refute_0_5357,plain,
    difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),bigC(c,a,c)),product(product(product(a,product(b,c)),c),bigC(c,a,c))) )],[refute_0_5353,refute_0_5356]) ).

cnf(refute_0_5358,plain,
    ( difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))) != difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))
    | product(c,product(c,product(c,a))) != difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))
    | product(c,product(c,product(c,a))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) ),[1],$fot(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))))]]) ).

cnf(refute_0_5359,plain,
    ( product(c,product(c,product(c,a))) != difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))
    | product(c,product(c,product(c,a))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c))),difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) )],[refute_0_5357,refute_0_5358]) ).

cnf(refute_0_5360,plain,
    product(c,product(c,product(c,a))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),difference(bigC(c,a,c),product(product(product(product(a,c),c),c),bigC(c,a,c)))) )],[refute_0_5349,refute_0_5359]) ).

cnf(refute_0_5361,plain,
    difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(bigC(a,a,b))),bind(X_37,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_5362,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(c,b,c)),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_5363,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(c,b,c)),bigC(a,a,b))
    | product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,c),product(b,c))
    | bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(c,b,c)),bigC(a,a,b))) ),[1,0],$fot(product(bigC(a,a,c),product(b,c)))]]) ).

cnf(refute_0_5364,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(c,b,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5275,refute_0_5363]) ).

cnf(refute_0_5365,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(c,b,c)),bigC(a,a,b))) )],[refute_0_5362,refute_0_5364]) ).

cnf(refute_0_5366,plain,
    bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_5367,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))
    | bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) != product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)))]]) ).

cnf(refute_0_5368,plain,
    ( bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)) != product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))) )],[refute_0_5366,refute_0_5367]) ).

cnf(refute_0_5369,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,b,c),bigC(a,a,b)),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) )],[refute_0_5365,refute_0_5368]) ).

cnf(refute_0_5370,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))
    | difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))),product(bigC(c,b,c),bigC(a,a,b))) ),[0,1],$fot(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_5371,plain,
    ( difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) )],[refute_0_5369,refute_0_5370]) ).

cnf(refute_0_5372,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5361,refute_0_5371]) ).

cnf(refute_0_5373,plain,
    product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) = product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_5374,plain,
    ( product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) != product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))
    | product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) ),[1,0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_5375,plain,
    ( product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) )],[refute_0_5373,refute_0_5374]) ).

cnf(refute_0_5376,plain,
    product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),product(product(a,b),bigC(c,a,c))) )],[refute_0_5280,refute_0_5375]) ).

cnf(refute_0_5377,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))))]]) ).

cnf(refute_0_5378,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)))
    | product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) != product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)))) ),[1,1],$fot(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_5379,plain,
    ( product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) != product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)))) )],[refute_0_5377,refute_0_5378]) ).

cnf(refute_0_5380,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) )],[refute_0_5376,refute_0_5379]) ).

cnf(refute_0_5381,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) ),[0],$fot(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))))]]) ).

cnf(refute_0_5382,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))) )],[refute_0_5380,refute_0_5381]) ).

cnf(refute_0_5383,plain,
    difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5372,refute_0_5382]) ).

cnf(refute_0_5384,plain,
    product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_5385,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) != product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))
    | product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5386,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) )],[refute_0_5384,refute_0_5385]) ).

cnf(refute_0_5387,plain,
    product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_5386]) ).

cnf(refute_0_5388,plain,
    difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))))]]) ).

cnf(refute_0_5389,plain,
    ( difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))
    | product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))) ),[1,1],$fot(product(product(product(a,product(b,c)),c),bigC(a,a,b)))]]) ).

cnf(refute_0_5390,plain,
    ( product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))) )],[refute_0_5388,refute_0_5389]) ).

cnf(refute_0_5391,plain,
    difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) )],[refute_0_5387,refute_0_5390]) ).

cnf(refute_0_5392,plain,
    ( difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))
    | difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) ),[0],$fot(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))))]]) ).

cnf(refute_0_5393,plain,
    ( difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))) )],[refute_0_5391,refute_0_5392]) ).

cnf(refute_0_5394,plain,
    difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5383,refute_0_5393]) ).

cnf(refute_0_5395,plain,
    product(product(product(a,product(b,c)),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),c),bigC(c,a,c)))]]) ).

cnf(refute_0_5396,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(product(a,product(b,c)),c),bigC(c,a,c)) != product(product(product(a,product(b,c)),c),bigC(c,a,c))
    | product(product(product(a,product(b,c)),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),c),bigC(c,a,c)),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5397,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(product(a,product(b,c)),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),bigC(c,a,c)),product(product(product(a,product(b,c)),c),bigC(c,a,c))) )],[refute_0_5395,refute_0_5396]) ).

cnf(refute_0_5398,plain,
    product(product(product(a,product(b,c)),c),bigC(c,a,c)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_5397]) ).

cnf(refute_0_5399,plain,
    difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))))]]) ).

cnf(refute_0_5400,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c)))
    | product(product(product(a,product(b,c)),c),bigC(c,a,c)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) ),[1,1],$fot(product(product(product(a,product(b,c)),c),bigC(a,a,b)))]]) ).

cnf(refute_0_5401,plain,
    ( product(product(product(a,product(b,c)),c),bigC(c,a,c)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) )],[refute_0_5399,refute_0_5400]) ).

cnf(refute_0_5402,plain,
    difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),bigC(c,a,c)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) )],[refute_0_5398,refute_0_5401]) ).

cnf(refute_0_5403,plain,
    difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))))]]) ).

cnf(refute_0_5404,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5405,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) )],[refute_0_5403,refute_0_5404]) ).

cnf(refute_0_5406,plain,
    difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_5405]) ).

cnf(refute_0_5407,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c)))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))))),bind(Y,$fot(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))))),bind(Z,$fot(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))))]]) ).

cnf(refute_0_5408,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) )],[refute_0_5406,refute_0_5407]) ).

cnf(refute_0_5409,plain,
    difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))) )],[refute_0_5402,refute_0_5408]) ).

cnf(refute_0_5410,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))))),bind(Y,$fot(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))))),bind(Z,$fot(product(bigC(c,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_5411,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))) )],[refute_0_5409,refute_0_5410]) ).

cnf(refute_0_5412,plain,
    difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5394,refute_0_5411]) ).

cnf(refute_0_5413,plain,
    ( difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))) != product(bigC(c,b,c),bigC(a,a,b))
    | product(c,product(c,product(c,a))) != difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))
    | product(c,product(c,product(c,a))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) ),[1],$fot(product(bigC(c,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_5414,plain,
    ( product(c,product(c,product(c,a))) != difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))
    | product(c,product(c,product(c,a))) = product(bigC(c,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5412,refute_0_5413]) ).

cnf(refute_0_5415,plain,
    product(c,product(c,product(c,a))) = product(bigC(c,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),difference(bigC(c,a,c),product(product(product(a,product(b,c)),c),bigC(c,a,c)))) )],[refute_0_5360,refute_0_5414]) ).

cnf(refute_0_5416,plain,
    product(bigC(c,b,c),bigC(a,a,b)) = product(bigC(c,b,c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_5417,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),bigC(a,a,b)) != product(bigC(c,b,c),bigC(a,a,b))
    | product(bigC(c,b,c),bigC(a,a,b)) = product(bigC(b,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,b)),product(bigC(c,b,c),bigC(a,a,b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_5418,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),bigC(a,a,b)) = product(bigC(b,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,b)),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5416,refute_0_5417]) ).

cnf(refute_0_5419,plain,
    product(bigC(c,b,c),bigC(a,a,b)) = product(bigC(b,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_5418]) ).

cnf(refute_0_5420,plain,
    ( product(bigC(c,b,c),bigC(a,a,b)) != product(bigC(b,a,b),bigC(a,a,b))
    | product(c,product(c,product(c,a))) != product(bigC(c,b,c),bigC(a,a,b))
    | product(c,product(c,product(c,a))) = product(bigC(b,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),product(bigC(c,b,c),bigC(a,a,b))) ),[1],$fot(product(bigC(b,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_5421,plain,
    ( product(c,product(c,product(c,a))) != product(bigC(c,b,c),bigC(a,a,b))
    | product(c,product(c,product(c,a))) = product(bigC(b,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_5419,refute_0_5420]) ).

cnf(refute_0_5422,plain,
    product(c,product(c,product(c,a))) = product(bigC(b,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5415,refute_0_5421]) ).

cnf(refute_0_5423,plain,
    ( product(c,product(c,product(c,a))) != product(bigC(b,a,b),bigC(a,a,b))
    | product(bigC(b,a,b),bigC(a,a,b)) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,product(c,a))))),bind(Y,$fot(product(bigC(b,a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_5424,plain,
    product(bigC(b,a,b),bigC(a,a,b)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_5422,refute_0_5423]) ).

cnf(refute_0_5425,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(bigC(b,a,b),bigC(a,a,b))
    | product(bigC(b,a,b),bigC(a,a,b)) != product(c,product(c,product(c,a)))
    | difference(product(bigC(a,a,b),c),c) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(a,a,b),c),c),product(c,product(c,product(c,a)))) ),[0],$fot(product(bigC(b,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_5426,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(bigC(b,a,b),bigC(a,a,b))
    | difference(product(bigC(a,a,b),c),c) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),product(c,product(c,product(c,a)))) )],[refute_0_5424,refute_0_5425]) ).

cnf(refute_0_5427,plain,
    difference(product(bigC(a,a,b),c),c) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),c),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_5322,refute_0_5426]) ).

cnf(refute_0_5428,plain,
    ( product(c,product(c,product(c,a))) != product(bigC(c,b,c),bigC(a,a,b))
    | product(bigC(c,b,c),bigC(a,a,b)) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,product(c,a))))),bind(Y,$fot(product(bigC(c,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_5429,plain,
    product(bigC(c,b,c),bigC(a,a,b)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5415,refute_0_5428]) ).

cnf(refute_0_5430,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | product(bigC(c,b,c),bigC(a,a,b)) != product(c,product(c,product(c,a)))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),product(c,product(c,product(c,a)))) ),[0],$fot(product(bigC(c,b,c),bigC(a,a,b)))]]) ).

cnf(refute_0_5431,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != product(bigC(c,b,c),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,b)),product(c,product(c,product(c,a)))) )],[refute_0_5429,refute_0_5430]) ).

cnf(refute_0_5432,plain,
    difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),product(bigC(c,b,c),bigC(a,a,b))) )],[refute_0_5394,refute_0_5431]) ).

cnf(refute_0_5433,plain,
    bigC(product(a,c),product(b,product(a,c)),c) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(c)),bind(C,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_5434,plain,
    bigC(difference(product(product(c,b),a),bigC(a,a,b)),X_22,product(product(c,b),a)) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,b))),bind(X_23,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_5435,plain,
    difference(product(product(c,b),a),product(product(product(c,b),a),product(product(a,c),c))) = product(product(a,c),c),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_5436,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(product(product(c,b),a),product(product(a,c),c))
    | product(product(product(c,b),a),product(product(a,c),c)) = quotient(product(a,c),product(a,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(a,c),product(a,product(c,b))))),bind(Y,$fot(product(product(product(c,b),a),product(product(a,c),c))))]]) ).

cnf(refute_0_5437,plain,
    product(product(product(c,b),a),product(product(a,c),c)) = quotient(product(a,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(product(product(c,b),a),product(product(a,c),c))) )],[refute_0_544,refute_0_5436]) ).

cnf(refute_0_5438,plain,
    ( difference(product(product(c,b),a),product(product(product(c,b),a),product(product(a,c),c))) != product(product(a,c),c)
    | product(product(product(c,b),a),product(product(a,c),c)) != quotient(product(a,c),product(a,product(c,b)))
    | difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),product(product(product(c,b),a),product(product(a,c),c))),product(product(a,c),c)) ),[0,1],$fot(quotient(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_5439,plain,
    ( difference(product(product(c,b),a),product(product(product(c,b),a),product(product(a,c),c))) != product(product(a,c),c)
    | difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),quotient(product(a,c),product(a,product(c,b)))) )],[refute_0_5437,refute_0_5438]) ).

cnf(refute_0_5440,plain,
    difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(product(product(c,b),a),product(product(a,c),c))),product(product(a,c),c)) )],[refute_0_5435,refute_0_5439]) ).

cnf(refute_0_5441,plain,
    difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))))]]) ).

cnf(refute_0_5442,plain,
    ( difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) != difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b))))
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))),difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b))))) ),[1,1],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_5443,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))),difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b))))) )],[refute_0_5441,refute_0_5442]) ).

cnf(refute_0_5444,plain,
    difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) = difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_5443]) ).

cnf(refute_0_5445,plain,
    ( difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) != difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c)))
    | difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) != product(product(a,c),c)
    | difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))),product(product(a,c),c)) ),[0],$fot(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))))]]) ).

cnf(refute_0_5446,plain,
    ( difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))) != product(product(a,c),c)
    | difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))),difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c)))) )],[refute_0_5444,refute_0_5445]) ).

cnf(refute_0_5447,plain,
    difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),quotient(product(a,c),product(a,product(c,b)))),product(product(a,c),c)) )],[refute_0_5440,refute_0_5446]) ).

cnf(refute_0_5448,plain,
    difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))))]]) ).

cnf(refute_0_5449,plain,
    ( difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) != difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c)))
    | product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c)))) ),[1,1],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_5450,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c)))) )],[refute_0_5448,refute_0_5449]) ).

cnf(refute_0_5451,plain,
    difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) = difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2589,refute_0_5450]) ).

cnf(refute_0_5452,plain,
    ( difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) != difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c)))
    | difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) != product(product(a,c),c)
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),product(product(a,c),c)) ),[0],$fot(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5453,plain,
    ( difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))) != product(product(a,c),c)
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c)))) )],[refute_0_5451,refute_0_5452]) ).

cnf(refute_0_5454,plain,
    difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,b,a),product(a,c))),product(product(a,c),c)) )],[refute_0_5447,refute_0_5453]) ).

cnf(refute_0_5455,plain,
    ( difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) != product(product(a,c),c)
    | product(product(a,c),c) != product(a,product(b,c))
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),product(a,product(b,c))) ),[0],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_5456,plain,
    ( difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) != product(product(a,c),c)
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_5455]) ).

cnf(refute_0_5457,plain,
    difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),product(product(a,c),c)) )],[refute_0_5454,refute_0_5456]) ).

cnf(refute_0_5458,plain,
    difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5459,plain,
    ( difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) != difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c)))
    | product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = difference(product(product(c,b),a),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c)))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_5460,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = difference(product(product(c,b),a),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c)))) )],[refute_0_5458,refute_0_5459]) ).

cnf(refute_0_5461,plain,
    difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) = difference(product(product(c,b),a),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_2602,refute_0_5460]) ).

cnf(refute_0_5462,plain,
    ( difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) != difference(product(product(c,b),a),bigC(c,a,c))
    | difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) != product(a,product(b,c))
    | difference(product(product(c,b),a),bigC(c,a,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),product(a,product(b,c))) ),[0],$fot(difference(product(product(c,b),a),bigC(c,a,c)))]]) ).

cnf(refute_0_5463,plain,
    ( difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))) != product(a,product(b,c))
    | difference(product(product(c,b),a),bigC(c,a,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),difference(product(product(c,b),a),bigC(c,a,c))) )],[refute_0_5461,refute_0_5462]) ).

cnf(refute_0_5464,plain,
    difference(product(product(c,b),a),bigC(c,a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),product(bigC(c,a,b),product(a,c))),product(a,product(b,c))) )],[refute_0_5457,refute_0_5463]) ).

cnf(refute_0_5465,plain,
    difference(product(product(c,b),a),bigC(c,a,c)) = difference(product(product(c,b),a),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),a),bigC(c,a,c)))]]) ).

cnf(refute_0_5466,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(product(product(c,b),a),bigC(c,a,c)) != difference(product(product(c,b),a),bigC(c,a,c))
    | difference(product(product(c,b),a),bigC(c,a,c)) = difference(product(product(c,b),a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),bigC(c,a,c)),difference(product(product(c,b),a),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5467,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | difference(product(product(c,b),a),bigC(c,a,c)) = difference(product(product(c,b),a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(c,a,c)),difference(product(product(c,b),a),bigC(c,a,c))) )],[refute_0_5465,refute_0_5466]) ).

cnf(refute_0_5468,plain,
    difference(product(product(c,b),a),bigC(c,a,c)) = difference(product(product(c,b),a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_5467]) ).

cnf(refute_0_5469,plain,
    ( difference(product(product(c,b),a),bigC(c,a,c)) != difference(product(product(c,b),a),bigC(a,a,b))
    | difference(product(product(c,b),a),bigC(c,a,c)) != product(a,product(b,c))
    | difference(product(product(c,b),a),bigC(a,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),a),bigC(c,a,c)),product(a,product(b,c))) ),[0],$fot(difference(product(product(c,b),a),bigC(a,a,b)))]]) ).

cnf(refute_0_5470,plain,
    ( difference(product(product(c,b),a),bigC(c,a,c)) != product(a,product(b,c))
    | difference(product(product(c,b),a),bigC(a,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(c,a,c)),difference(product(product(c,b),a),bigC(a,a,b))) )],[refute_0_5468,refute_0_5469]) ).

cnf(refute_0_5471,plain,
    difference(product(product(c,b),a),bigC(a,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(c,a,c)),product(a,product(b,c))) )],[refute_0_5464,refute_0_5470]) ).

cnf(refute_0_5472,plain,
    ( bigC(difference(product(product(c,b),a),bigC(a,a,b)),X_22,product(product(c,b),a)) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | difference(product(product(c,b),a),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(product(c,b),a),bigC(a,a,b)),X_22,product(product(c,b),a)),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5473,plain,
    ( bigC(difference(product(product(c,b),a),bigC(a,a,b)),X_22,product(product(c,b),a)) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_5471,refute_0_5472]) ).

cnf(refute_0_5474,plain,
    bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(product(c,b),a),bigC(a,a,b)),X_22,product(product(c,b),a)),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) )],[refute_0_5434,refute_0_5473]) ).

cnf(refute_0_5475,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(product(product(c,b),a),product(product(a,c),c))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(X_22)),bind(C,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_5476,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),product(product(product(c,b),a),product(product(a,c),c)))
    | product(product(product(c,b),a),product(product(a,c),c)) != quotient(product(a,c),product(a,product(c,b)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),product(product(product(c,b),a),product(product(a,c),c)))) ),[1,1],$fot(quotient(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_5477,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),product(product(product(c,b),a),product(product(a,c),c)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),quotient(product(a,c),product(a,product(c,b)))) )],[refute_0_5437,refute_0_5476]) ).

cnf(refute_0_5478,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),product(product(product(c,b),a),product(product(a,c),c)))) )],[refute_0_5475,refute_0_5477]) ).

cnf(refute_0_5479,plain,
    product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) = product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))))]]) ).

cnf(refute_0_5480,plain,
    ( product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) != product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b))))
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))),product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b))))) ),[1,1],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_5481,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))),product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b))))) )],[refute_0_5479,refute_0_5480]) ).

cnf(refute_0_5482,plain,
    product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_5481]) ).

cnf(refute_0_5483,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b))))
    | product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))) != product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))) ),[0],$fot(product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))))]]) ).

cnf(refute_0_5484,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b))))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b)))),product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))) )],[refute_0_5482,refute_0_5483]) ).

cnf(refute_0_5485,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),quotient(product(a,c),product(a,product(c,b))))) )],[refute_0_5478,refute_0_5484]) ).

cnf(refute_0_5486,plain,
    product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) = product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))))]]) ).

cnf(refute_0_5487,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) != product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))
    | product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) = product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))),product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))) ),[1,1],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_5488,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) = product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))),product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))) )],[refute_0_5486,refute_0_5487]) ).

cnf(refute_0_5489,plain,
    product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) = product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2589,refute_0_5488]) ).

cnf(refute_0_5490,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))
    | product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))) != product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c)))) ),[0],$fot(product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))))]]) ).

cnf(refute_0_5491,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c))),product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c)))) )],[refute_0_5489,refute_0_5490]) ).

cnf(refute_0_5492,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),product(bigC(c,b,a),product(a,c)))) )],[refute_0_5485,refute_0_5491]) ).

cnf(refute_0_5493,plain,
    product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)) = product(product(product(product(a,c),c),bigC(c,a,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(product(a,c),c))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_5494,plain,
    ( product(product(product(a,c),c),bigC(c,a,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)) != product(product(product(product(a,c),c),bigC(c,a,b)),product(B,D))
    | product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)),product(product(product(product(a,c),c),bigC(c,a,b)),product(B,D))) ),[1,0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_5495,plain,
    ( product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)) != product(product(product(product(a,c),c),bigC(c,a,b)),product(B,D))
    | product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(c,a,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3982,refute_0_5494]) ).

cnf(refute_0_5496,plain,
    product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),B),product(bigC(c,a,b),D)),product(product(product(product(a,c),c),bigC(c,a,b)),product(B,D))) )],[refute_0_5493,refute_0_5495]) ).

cnf(refute_0_5497,plain,
    product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),
    inference(subst,[],[refute_0_5496:[bind(B,$fot(X_22)),bind(D,$fot(product(a,c)))]]) ).

cnf(refute_0_5498,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c)))
    | product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))) != product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) ),[0],$fot(product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_5499,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c)))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c))),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) )],[refute_0_5497,refute_0_5498]) ).

cnf(refute_0_5500,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(product(a,c),c),X_22),product(bigC(c,a,b),product(a,c)))) )],[refute_0_5492,refute_0_5499]) ).

cnf(refute_0_5501,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = bigC(product(product(a,c),c),X_22,product(product(c,b),a)),
    introduced(tautology,[refl,[$fot(bigC(product(product(a,c),c),X_22,product(product(c,b),a)))]]) ).

cnf(refute_0_5502,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != bigC(product(product(a,c),c),X_22,product(product(c,b),a))
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),bigC(product(product(a,c),c),X_22,product(product(c,b),a))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5503,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),bigC(product(product(a,c),c),X_22,product(product(c,b),a))) )],[refute_0_5501,refute_0_5502]) ).

cnf(refute_0_5504,plain,
    bigC(product(product(a,c),c),X_22,product(product(c,b),a)) = bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_5503]) ).

cnf(refute_0_5505,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != bigC(product(a,product(b,c)),X_22,product(product(c,b),a))
    | bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) ),[0],$fot(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)))]]) ).

cnf(refute_0_5506,plain,
    ( bigC(product(product(a,c),c),X_22,product(product(c,b),a)) != product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),bigC(product(a,product(b,c)),X_22,product(product(c,b),a))) )],[refute_0_5504,refute_0_5505]) ).

cnf(refute_0_5507,plain,
    bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),X_22,product(product(c,b),a)),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) )],[refute_0_5500,refute_0_5506]) ).

cnf(refute_0_5508,plain,
    product(product(product(a,product(b,c)),X_22),bigC(c,c,a)) = bigC(product(a,c),product(product(b,c),c),X_22),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(X_22)),bind(X_63,$fot(a)),bind(X_64,$fot(c)),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_5509,plain,
    product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) = product(product(product(a,product(b,c)),X_22),bigC(c,c,a)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(c)),bind(C,$fot(X_22)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_5510,plain,
    ( product(product(product(a,product(b,c)),X_22),bigC(c,c,a)) != bigC(product(a,c),product(product(b,c),c),X_22)
    | product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) != product(product(product(a,product(b,c)),X_22),bigC(c,c,a))
    | product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) = bigC(product(a,c),product(product(b,c),c),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),c),product(X_22,product(a,c))))),bind(Y,$fot(product(product(product(a,product(b,c)),X_22),bigC(c,c,a)))),bind(Z,$fot(bigC(product(a,c),product(product(b,c),c),X_22)))]]) ).

cnf(refute_0_5511,plain,
    ( product(product(product(a,product(b,c)),X_22),bigC(c,c,a)) != bigC(product(a,c),product(product(b,c),c),X_22)
    | product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) = bigC(product(a,c),product(product(b,c),c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(X_22,product(a,c))),product(product(product(a,product(b,c)),X_22),bigC(c,c,a))) )],[refute_0_5509,refute_0_5510]) ).

cnf(refute_0_5512,plain,
    product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) = bigC(product(a,c),product(product(b,c),c),X_22),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),X_22),bigC(c,c,a)),bigC(product(a,c),product(product(b,c),c),X_22)) )],[refute_0_5508,refute_0_5511]) ).

cnf(refute_0_5513,plain,
    product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))))]]) ).

cnf(refute_0_5514,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) != product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))
    | product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5515,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) )],[refute_0_5513,refute_0_5514]) ).

cnf(refute_0_5516,plain,
    product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = product(product(product(a,product(b,c)),c),product(X_22,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_5515]) ).

cnf(refute_0_5517,plain,
    ( product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) != product(product(product(a,product(b,c)),c),product(X_22,product(a,c)))
    | product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) != bigC(product(a,c),product(product(b,c),c),X_22)
    | product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = bigC(product(a,c),product(product(b,c),c),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))))),bind(Y,$fot(product(product(product(a,product(b,c)),c),product(X_22,product(a,c))))),bind(Z,$fot(bigC(product(a,c),product(product(b,c),c),X_22)))]]) ).

cnf(refute_0_5518,plain,
    ( product(product(product(a,product(b,c)),c),product(X_22,product(a,c))) != bigC(product(a,c),product(product(b,c),c),X_22)
    | product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = bigC(product(a,c),product(product(b,c),c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),product(product(product(a,product(b,c)),c),product(X_22,product(a,c)))) )],[refute_0_5516,refute_0_5517]) ).

cnf(refute_0_5519,plain,
    product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) = bigC(product(a,c),product(product(b,c),c),X_22),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(X_22,product(a,c))),bigC(product(a,c),product(product(b,c),c),X_22)) )],[refute_0_5512,refute_0_5518]) ).

cnf(refute_0_5520,plain,
    ( bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))
    | product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))) != bigC(product(a,c),product(product(b,c),c),X_22)
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = bigC(product(a,c),product(product(b,c),c),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),bigC(product(a,c),product(product(b,c),c),X_22)) ),[0],$fot(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))))]]) ).

cnf(refute_0_5521,plain,
    ( bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = bigC(product(a,c),product(product(b,c),c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c))),bigC(product(a,c),product(product(b,c),c),X_22)) )],[refute_0_5519,refute_0_5520]) ).

cnf(refute_0_5522,plain,
    bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = bigC(product(a,c),product(product(b,c),c),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),product(product(product(a,b),bigC(c,a,c)),product(X_22,product(a,c)))) )],[refute_0_5507,refute_0_5521]) ).

cnf(refute_0_5523,plain,
    bigC(product(a,c),product(product(b,c),c),X_22) = bigC(product(a,c),product(product(b,c),c),X_22),
    introduced(tautology,[refl,[$fot(bigC(product(a,c),product(product(b,c),c),X_22))]]) ).

cnf(refute_0_5524,plain,
    ( bigC(product(a,c),product(product(b,c),c),X_22) != bigC(product(a,c),product(product(b,c),c),X_22)
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(product(a,c),product(product(b,c),c),X_22) = bigC(product(a,c),product(b,product(a,c)),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(product(b,c),c),X_22),bigC(product(a,c),product(product(b,c),c),X_22)) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_5525,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | bigC(product(a,c),product(product(b,c),c),X_22) = bigC(product(a,c),product(b,product(a,c)),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(product(b,c),c),X_22),bigC(product(a,c),product(product(b,c),c),X_22)) )],[refute_0_5523,refute_0_5524]) ).

cnf(refute_0_5526,plain,
    bigC(product(a,c),product(product(b,c),c),X_22) = bigC(product(a,c),product(b,product(a,c)),X_22),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_5525]) ).

cnf(refute_0_5527,plain,
    ( bigC(product(a,c),product(product(b,c),c),X_22) != bigC(product(a,c),product(b,product(a,c)),X_22)
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != bigC(product(a,c),product(product(b,c),c),X_22)
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = bigC(product(a,c),product(b,product(a,c)),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),bigC(product(a,c),product(product(b,c),c),X_22)) ),[1],$fot(bigC(product(a,c),product(b,product(a,c)),X_22))]]) ).

cnf(refute_0_5528,plain,
    ( bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != bigC(product(a,c),product(product(b,c),c),X_22)
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = bigC(product(a,c),product(b,product(a,c)),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(product(b,c),c),X_22),bigC(product(a,c),product(b,product(a,c)),X_22)) )],[refute_0_5526,refute_0_5527]) ).

cnf(refute_0_5529,plain,
    bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) = bigC(product(a,c),product(b,product(a,c)),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),bigC(product(a,c),product(product(b,c),c),X_22)) )],[refute_0_5522,refute_0_5528]) ).

cnf(refute_0_5530,plain,
    ( bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != bigC(product(a,c),product(b,product(a,c)),X_22)
    | bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(product(a,c),product(b,product(a,c)),X_22) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) ),[0],$fot(bigC(product(a,c),product(b,product(a,c)),X_22))]]) ).

cnf(refute_0_5531,plain,
    ( bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(product(a,c),product(b,product(a,c)),X_22) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),bigC(product(a,c),product(b,product(a,c)),X_22)) )],[refute_0_5529,refute_0_5530]) ).

cnf(refute_0_5532,plain,
    product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) = product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),
    introduced(tautology,[refl,[$fot(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22))]]) ).

cnf(refute_0_5533,plain,
    ( difference(product(product(c,b),a),bigC(a,a,b)) != product(a,product(b,c))
    | product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) != product(difference(product(product(c,b),a),bigC(a,a,b)),X_22)
    | product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) = product(product(a,product(b,c)),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),product(difference(product(product(c,b),a),bigC(a,a,b)),X_22)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5534,plain,
    ( difference(product(product(c,b),a),bigC(a,a,b)) != product(a,product(b,c))
    | product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) = product(product(a,product(b,c)),X_22) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),product(difference(product(product(c,b),a),bigC(a,a,b)),X_22)) )],[refute_0_5532,refute_0_5533]) ).

cnf(refute_0_5535,plain,
    product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) = product(product(a,product(b,c)),X_22),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_5471,refute_0_5534]) ).

cnf(refute_0_5536,plain,
    product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) = product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)))]]) ).

cnf(refute_0_5537,plain,
    ( product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) != product(product(a,product(b,c)),X_22)
    | product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) ),[1,0],$fot(product(product(a,product(b,c)),X_22))]]) ).

cnf(refute_0_5538,plain,
    ( product(difference(product(product(c,b),a),bigC(a,a,b)),X_22) != product(product(a,product(b,c)),X_22)
    | product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) )],[refute_0_5536,refute_0_5537]) ).

cnf(refute_0_5539,plain,
    product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),product(product(a,product(b,c)),X_22)) )],[refute_0_5535,refute_0_5538]) ).

cnf(refute_0_5540,plain,
    ( bigC(product(a,c),product(b,product(a,c)),X_22) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)) != product(product(product(a,product(b,c)),X_22),bigC(a,a,b))
    | bigC(product(a,c),product(b,product(a,c)),X_22) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(b,product(a,c)),X_22),product(product(product(a,product(b,c)),X_22),bigC(a,a,b))) ),[0],$fot(product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)))]]) ).

cnf(refute_0_5541,plain,
    ( bigC(product(a,c),product(b,product(a,c)),X_22) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(product(a,c),product(b,product(a,c)),X_22) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b)),product(product(product(a,product(b,c)),X_22),bigC(a,a,b))) )],[refute_0_5539,refute_0_5540]) ).

cnf(refute_0_5542,plain,
    ( bigC(product(a,product(b,c)),X_22,product(product(c,b),a)) != product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(product(a,c),product(b,product(a,c)),X_22) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),X_22),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) )],[refute_0_5531,refute_0_5541]) ).

cnf(refute_0_5543,plain,
    bigC(product(a,c),product(b,product(a,c)),X_22) = product(product(product(a,product(b,c)),X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,product(product(c,b),a)),product(product(difference(product(product(c,b),a),bigC(a,a,b)),X_22),bigC(a,a,b))) )],[refute_0_5474,refute_0_5542]) ).

cnf(refute_0_5544,plain,
    ( bigC(product(a,c),product(b,product(a,c)),X_22) != product(product(product(a,product(b,c)),X_22),bigC(a,a,b))
    | product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) = bigC(product(a,c),product(b,product(a,c)),X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(b,product(a,c)),X_22))),bind(Y,$fot(product(product(product(a,product(b,c)),X_22),bigC(a,a,b))))]]) ).

cnf(refute_0_5545,plain,
    product(product(product(a,product(b,c)),X_22),bigC(a,a,b)) = bigC(product(a,c),product(b,product(a,c)),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),X_22),product(product(product(a,product(b,c)),X_22),bigC(a,a,b))) )],[refute_0_5543,refute_0_5544]) ).

cnf(refute_0_5546,plain,
    product(product(product(a,product(b,c)),c),bigC(a,a,b)) = bigC(product(a,c),product(b,product(a,c)),c),
    inference(subst,[],[refute_0_5545:[bind(X_22,$fot(c))]]) ).

cnf(refute_0_5547,plain,
    ( bigC(product(a,c),product(b,product(a,c)),c) != bigC(product(a,c),c,product(b,product(a,c)))
    | product(product(product(a,product(b,c)),c),bigC(a,a,b)) != bigC(product(a,c),product(b,product(a,c)),c)
    | product(product(product(a,product(b,c)),c),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),c),bigC(a,a,b)))),bind(Y,$fot(bigC(product(a,c),product(b,product(a,c)),c))),bind(Z,$fot(bigC(product(a,c),c,product(b,product(a,c)))))]]) ).

cnf(refute_0_5548,plain,
    ( bigC(product(a,c),product(b,product(a,c)),c) != bigC(product(a,c),c,product(b,product(a,c)))
    | product(product(product(a,product(b,c)),c),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),bigC(a,a,b)),bigC(product(a,c),product(b,product(a,c)),c)) )],[refute_0_5546,refute_0_5547]) ).

cnf(refute_0_5549,plain,
    product(product(product(a,product(b,c)),c),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),c),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5433,refute_0_5548]) ).

cnf(refute_0_5550,plain,
    difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))))]]) ).

cnf(refute_0_5551,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))
    | product(product(product(a,product(b,c)),c),bigC(a,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))) ),[1,1],$fot(bigC(product(a,c),c,product(b,product(a,c))))]]) ).

cnf(refute_0_5552,plain,
    ( product(product(product(a,product(b,c)),c),bigC(a,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b)))) )],[refute_0_5550,refute_0_5551]) ).

cnf(refute_0_5553,plain,
    difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),bigC(a,a,b)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5549,refute_0_5552]) ).

cnf(refute_0_5554,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c))))
    | difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != product(c,product(c,product(c,a)))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),product(c,product(c,product(c,a)))) ),[0],$fot(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))))]]) ).

cnf(refute_0_5555,plain,
    ( difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))) != product(c,product(c,product(c,a)))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c))))) )],[refute_0_5553,refute_0_5554]) ).

cnf(refute_0_5556,plain,
    difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(product(a,product(b,c)),c),bigC(a,a,b))),product(c,product(c,product(c,a)))) )],[refute_0_5432,refute_0_5555]) ).

cnf(refute_0_5557,plain,
    difference(product(product(product(c,b),a),product(a,product(b,c))),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = product(X_23,product(product(c,b),a)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(product(c,b),a))),bind(X_22,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_5558,plain,
    product(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b))) = bigC(a,a,b),
    inference(subst,[],[sos02:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_5559,plain,
    ( difference(product(product(c,b),a),bigC(a,a,b)) != product(a,product(b,c))
    | product(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b))) != bigC(a,a,b)
    | product(product(product(c,b),a),product(a,product(b,c))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b))),bigC(a,a,b)) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5560,plain,
    ( product(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b))) != bigC(a,a,b)
    | product(product(product(c,b),a),product(a,product(b,c))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_5471,refute_0_5559]) ).

cnf(refute_0_5561,plain,
    product(product(product(c,b),a),product(a,product(b,c))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_5558,refute_0_5560]) ).

cnf(refute_0_5562,plain,
    ( difference(product(product(product(c,b),a),product(a,product(b,c))),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) != product(X_23,product(product(c,b),a))
    | product(product(product(c,b),a),product(a,product(b,c))) != bigC(a,a,b)
    | difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = product(X_23,product(product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,b),a),product(a,product(b,c))),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),product(X_23,product(product(c,b),a))) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5563,plain,
    ( difference(product(product(product(c,b),a),product(a,product(b,c))),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) != product(X_23,product(product(c,b),a))
    | difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = product(X_23,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(a,product(b,c))),bigC(a,a,b)) )],[refute_0_5561,refute_0_5562]) ).

cnf(refute_0_5564,plain,
    difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = product(X_23,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,b),a),product(a,product(b,c))),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),product(X_23,product(product(c,b),a))) )],[refute_0_5557,refute_0_5563]) ).

cnf(refute_0_5565,plain,
    bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(product(product(c,b),a),product(product(a,c),c)),product(X_23,product(product(c,b),a))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(product(product(a,c),c))),bind(C,$fot(X_23))]]) ).

cnf(refute_0_5566,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(product(product(product(c,b),a),product(product(a,c),c)),product(X_23,product(product(c,b),a)))
    | product(product(product(c,b),a),product(product(a,c),c)) != quotient(product(a,c),product(a,product(c,b)))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(product(product(c,b),a),product(product(a,c),c)),product(X_23,product(product(c,b),a)))) ),[1,0],$fot(quotient(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_5567,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(product(product(product(c,b),a),product(product(a,c),c)),product(X_23,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),quotient(product(a,c),product(a,product(c,b)))) )],[refute_0_5437,refute_0_5566]) ).

cnf(refute_0_5568,plain,
    bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(product(product(c,b),a),product(product(a,c),c)),product(X_23,product(product(c,b),a)))) )],[refute_0_5565,refute_0_5567]) ).

cnf(refute_0_5569,plain,
    product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) = product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))))]]) ).

cnf(refute_0_5570,plain,
    ( product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) != product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a)))
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) = product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))),product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a)))) ),[1,0],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_5571,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) = product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))),product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a)))) )],[refute_0_5569,refute_0_5570]) ).

cnf(refute_0_5572,plain,
    product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) = product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_5571]) ).

cnf(refute_0_5573,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a)))
    | product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))) != product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a)))) ),[0],$fot(product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))))]]) ).

cnf(refute_0_5574,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a))),product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a)))) )],[refute_0_5572,refute_0_5573]) ).

cnf(refute_0_5575,plain,
    bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(quotient(product(a,c),product(a,product(c,b))),product(X_23,product(product(c,b),a)))) )],[refute_0_5568,refute_0_5574]) ).

cnf(refute_0_5576,plain,
    product(bigC(c,b,a),X_23) = product(bigC(c,b,a),X_23),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,a),X_23))]]) ).

cnf(refute_0_5577,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),X_23) != product(bigC(c,b,a),X_23)
    | product(bigC(c,b,a),X_23) = product(bigC(c,a,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,a),X_23),product(bigC(c,b,a),X_23)) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_5578,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),X_23) = product(bigC(c,a,b),X_23) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),X_23),product(bigC(c,b,a),X_23)) )],[refute_0_5576,refute_0_5577]) ).

cnf(refute_0_5579,plain,
    product(bigC(c,b,a),X_23) = product(bigC(c,a,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_5578]) ).

cnf(refute_0_5580,plain,
    product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) = product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_5581,plain,
    ( product(bigC(c,b,a),X_23) != product(bigC(c,a,b),X_23)
    | product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) != product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b)))
    | product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))),product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b)))) ),[1,0],$fot(product(bigC(c,a,b),X_23))]]) ).

cnf(refute_0_5582,plain,
    ( product(bigC(c,b,a),X_23) != product(bigC(c,a,b),X_23)
    | product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))),product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5580,refute_0_5581]) ).

cnf(refute_0_5583,plain,
    product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),X_23),product(bigC(c,a,b),X_23)) )],[refute_0_5579,refute_0_5582]) ).

cnf(refute_0_5584,plain,
    product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) = product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(X_63,$fot(bigC(c,b,a))),bind(X_64,$fot(X_23))]]) ).

cnf(refute_0_5585,plain,
    ( product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) != product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b)))
    | product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))))),bind(Y,$fot(product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))))),bind(Z,$fot(product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))))]]) ).

cnf(refute_0_5586,plain,
    ( product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))),product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5584,refute_0_5585]) ).

cnf(refute_0_5587,plain,
    product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),X_23),bigC(a,c,product(c,b))),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5583,refute_0_5586]) ).

cnf(refute_0_5588,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a)))
    | product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) ),[0],$fot(product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))))]]) ).

cnf(refute_0_5589,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a))),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5587,refute_0_5588]) ).

cnf(refute_0_5590,plain,
    bigC(product(product(c,b),a),product(product(a,c),c),X_23) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(bigC(c,b,a),product(a,c)),product(X_23,product(product(c,b),a)))) )],[refute_0_5575,refute_0_5589]) ).

cnf(refute_0_5591,plain,
    bigC(product(product(c,b),a),product(product(a,c),c),X_23) = bigC(product(product(c,b),a),product(product(a,c),c),X_23),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),a),product(product(a,c),c),X_23))]]) ).

cnf(refute_0_5592,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != bigC(product(product(c,b),a),product(product(a,c),c),X_23)
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = bigC(product(product(c,b),a),product(a,product(b,c)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),bigC(product(product(c,b),a),product(product(a,c),c),X_23)) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5593,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) = bigC(product(product(c,b),a),product(a,product(b,c)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),bigC(product(product(c,b),a),product(product(a,c),c),X_23)) )],[refute_0_5591,refute_0_5592]) ).

cnf(refute_0_5594,plain,
    bigC(product(product(c,b),a),product(product(a,c),c),X_23) = bigC(product(product(c,b),a),product(a,product(b,c)),X_23),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_5593]) ).

cnf(refute_0_5595,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != bigC(product(product(c,b),a),product(a,product(b,c)),X_23)
    | bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) ),[0],$fot(bigC(product(product(c,b),a),product(a,product(b,c)),X_23))]]) ).

cnf(refute_0_5596,plain,
    ( bigC(product(product(c,b),a),product(product(a,c),c),X_23) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) )],[refute_0_5594,refute_0_5595]) ).

cnf(refute_0_5597,plain,
    bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(product(a,c),c),X_23),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5590,refute_0_5596]) ).

cnf(refute_0_5598,plain,
    product(bigC(c,a,b),X_23) = product(bigC(c,a,b),X_23),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),X_23))]]) ).

cnf(refute_0_5599,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),X_23) != product(bigC(c,a,b),X_23)
    | product(bigC(c,a,b),X_23) = product(c,X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),X_23),product(bigC(c,a,b),X_23)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5600,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),X_23) = product(c,X_23) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),X_23),product(bigC(c,a,b),X_23)) )],[refute_0_5598,refute_0_5599]) ).

cnf(refute_0_5601,plain,
    product(bigC(c,a,b),X_23) = product(c,X_23),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_5600]) ).

cnf(refute_0_5602,plain,
    product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) = product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_5603,plain,
    ( product(bigC(c,a,b),X_23) != product(c,X_23)
    | product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) ),[1,0],$fot(product(c,X_23))]]) ).

cnf(refute_0_5604,plain,
    ( product(bigC(c,a,b),X_23) != product(c,X_23)
    | product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5602,refute_0_5603]) ).

cnf(refute_0_5605,plain,
    product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),X_23),product(c,X_23)) )],[refute_0_5601,refute_0_5604]) ).

cnf(refute_0_5606,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))) != product(product(c,X_23),bigC(a,c,product(c,b)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(product(c,X_23),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),product(product(c,X_23),bigC(a,c,product(c,b)))) ),[0],$fot(product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_5607,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(product(c,X_23),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b))),product(product(c,X_23),bigC(a,c,product(c,b)))) )],[refute_0_5605,refute_0_5606]) ).

cnf(refute_0_5608,plain,
    bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(product(c,X_23),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),product(product(bigC(c,a,b),X_23),bigC(a,c,product(c,b)))) )],[refute_0_5597,refute_0_5607]) ).

cnf(refute_0_5609,plain,
    bigC(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b)),X_23) = product(bigC(a,a,b),product(X_23,product(product(c,b),a))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(a,a,b))),bind(X_21,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_5610,plain,
    ( bigC(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | difference(product(product(c,b),a),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(bigC(a,a,b),product(X_23,product(product(c,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,product(product(c,b),a)))) ),[0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5611,plain,
    ( bigC(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(bigC(a,a,b),product(X_23,product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),a),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_5471,refute_0_5610]) ).

cnf(refute_0_5612,plain,
    bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = product(bigC(a,a,b),product(X_23,product(product(c,b),a))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),difference(product(product(c,b),a),bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,product(product(c,b),a)))) )],[refute_0_5609,refute_0_5611]) ).

cnf(refute_0_5613,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(product(c,X_23),bigC(a,c,product(c,b)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = product(bigC(a,a,b),product(X_23,product(product(c,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),product(bigC(a,a,b),product(X_23,product(product(c,b),a)))) ),[0],$fot(product(product(c,X_23),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_5614,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = product(bigC(a,a,b),product(X_23,product(product(c,b),a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),product(product(c,X_23),bigC(a,c,product(c,b)))) )],[refute_0_5608,refute_0_5613]) ).

cnf(refute_0_5615,plain,
    product(b,product(c,b)) = bigC(b,b,c),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(b)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_5616,plain,
    bigC(a,X_23,product(b,product(c,b))) = bigC(a,X_23,product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(a,X_23,product(b,product(c,b))))]]) ).

cnf(refute_0_5617,plain,
    ( bigC(a,X_23,product(b,product(c,b))) != bigC(a,X_23,product(b,product(c,b)))
    | product(b,product(c,b)) != bigC(b,b,c)
    | bigC(a,X_23,product(b,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,X_23,product(b,product(c,b))),bigC(a,X_23,product(b,product(c,b)))) ),[1,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_5618,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | bigC(a,X_23,product(b,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_23,product(b,product(c,b))),bigC(a,X_23,product(b,product(c,b)))) )],[refute_0_5616,refute_0_5617]) ).

cnf(refute_0_5619,plain,
    bigC(a,X_23,product(b,product(c,b))) = bigC(a,X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,b)),bigC(b,b,c)) )],[refute_0_5615,refute_0_5618]) ).

cnf(refute_0_5620,plain,
    bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(product(a,a),X_23,product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_23,product(b,product(c,b))))]]) ).

cnf(refute_0_5621,plain,
    ( bigC(product(a,a),X_23,product(b,product(c,b))) != bigC(product(a,a),X_23,product(b,product(c,b)))
    | product(a,a) != a
    | bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(a,X_23,product(b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_23,product(b,product(c,b))),bigC(product(a,a),X_23,product(b,product(c,b)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_5622,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(a,X_23,product(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,product(c,b))),bigC(product(a,a),X_23,product(b,product(c,b)))) )],[refute_0_5620,refute_0_5621]) ).

cnf(refute_0_5623,plain,
    bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(a,X_23,product(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_5622]) ).

cnf(refute_0_5624,plain,
    ( bigC(a,X_23,product(b,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | bigC(product(a,a),X_23,product(b,product(c,b))) != bigC(a,X_23,product(b,product(c,b)))
    | bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,a),X_23,product(b,product(c,b))))),bind(Y,$fot(bigC(a,X_23,product(b,product(c,b))))),bind(Z,$fot(bigC(a,X_23,bigC(b,b,c))))]]) ).

cnf(refute_0_5625,plain,
    ( bigC(a,X_23,product(b,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,product(c,b))),bigC(a,X_23,product(b,product(c,b)))) )],[refute_0_5623,refute_0_5624]) ).

cnf(refute_0_5626,plain,
    bigC(product(a,a),X_23,product(b,product(c,b))) = bigC(a,X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,X_23,product(b,product(c,b))),bigC(a,X_23,bigC(b,b,c))) )],[refute_0_5619,refute_0_5625]) ).

cnf(refute_0_5627,plain,
    product(bigC(a,a,b),product(X_23,product(product(c,b),a))) = bigC(product(a,a),X_23,product(b,product(c,b))),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_23)),bind(X_63,$fot(b)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_5628,plain,
    ( bigC(product(a,a),X_23,product(b,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | product(bigC(a,a,b),product(X_23,product(product(c,b),a))) != bigC(product(a,a),X_23,product(b,product(c,b)))
    | product(bigC(a,a,b),product(X_23,product(product(c,b),a))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(X_23,product(product(c,b),a))))),bind(Y,$fot(bigC(product(a,a),X_23,product(b,product(c,b))))),bind(Z,$fot(bigC(a,X_23,bigC(b,b,c))))]]) ).

cnf(refute_0_5629,plain,
    ( bigC(product(a,a),X_23,product(b,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | product(bigC(a,a,b),product(X_23,product(product(c,b),a))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,product(product(c,b),a))),bigC(product(a,a),X_23,product(b,product(c,b)))) )],[refute_0_5627,refute_0_5628]) ).

cnf(refute_0_5630,plain,
    product(bigC(a,a,b),product(X_23,product(product(c,b),a))) = bigC(a,X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,product(c,b))),bigC(a,X_23,bigC(b,b,c))) )],[refute_0_5626,refute_0_5629]) ).

cnf(refute_0_5631,plain,
    ( product(bigC(a,a,b),product(X_23,product(product(c,b),a))) != bigC(a,X_23,bigC(b,b,c))
    | product(product(c,X_23),bigC(a,c,product(c,b))) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),product(bigC(a,a,b),product(X_23,product(product(c,b),a)))) ),[1],$fot(bigC(a,X_23,bigC(b,b,c)))]]) ).

cnf(refute_0_5632,plain,
    ( product(product(c,X_23),bigC(a,c,product(c,b))) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,product(product(c,b),a))),bigC(a,X_23,bigC(b,b,c))) )],[refute_0_5630,refute_0_5631]) ).

cnf(refute_0_5633,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(bigC(a,a,b),product(X_23,product(product(c,b),a)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),product(bigC(a,a,b),product(X_23,product(product(c,b),a)))) )],[refute_0_5614,refute_0_5632]) ).

cnf(refute_0_5634,plain,
    product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(a,X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),product(bigC(a,a,b),product(X_23,product(product(c,b),a)))) )],[refute_0_5612,refute_0_5633]) ).

cnf(refute_0_5635,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(product(c,X_23),bigC(a,c,product(c,b)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = bigC(a,X_23,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),bigC(a,X_23,bigC(b,b,c))) ),[0],$fot(product(product(c,X_23),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_5636,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != product(product(c,X_23),bigC(a,c,product(c,b)))
    | bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),bigC(a,X_23,bigC(b,b,c))) )],[refute_0_5634,refute_0_5635]) ).

cnf(refute_0_5637,plain,
    bigC(product(product(c,b),a),product(a,product(b,c)),X_23) = bigC(a,X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),product(product(c,X_23),bigC(a,c,product(c,b)))) )],[refute_0_5608,refute_0_5636]) ).

cnf(refute_0_5638,plain,
    difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)))]]) ).

cnf(refute_0_5639,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != bigC(a,X_23,bigC(b,b,c))
    | difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) != difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23))
    | difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23))) ),[1,1],$fot(bigC(a,X_23,bigC(b,b,c)))]]) ).

cnf(refute_0_5640,plain,
    ( bigC(product(product(c,b),a),product(a,product(b,c)),X_23) != bigC(a,X_23,bigC(b,b,c))
    | difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23))) )],[refute_0_5638,refute_0_5639]) ).

cnf(refute_0_5641,plain,
    difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) = difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),a),product(a,product(b,c)),X_23),bigC(a,X_23,bigC(b,b,c))) )],[refute_0_5637,refute_0_5640]) ).

cnf(refute_0_5642,plain,
    ( difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) != difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c)))
    | difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) != product(X_23,product(product(c,b),a))
    | difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) = product(X_23,product(product(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),product(X_23,product(product(c,b),a))) ),[0],$fot(difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))))]]) ).

cnf(refute_0_5643,plain,
    ( difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)) != product(X_23,product(product(c,b),a))
    | difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) = product(X_23,product(product(c,b),a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c)))) )],[refute_0_5641,refute_0_5642]) ).

cnf(refute_0_5644,plain,
    difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) = product(X_23,product(product(c,b),a)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(product(c,b),a),product(a,product(b,c)),X_23)),product(X_23,product(product(c,b),a))) )],[refute_0_5564,refute_0_5643]) ).

cnf(refute_0_5645,plain,
    difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) = product(c,product(product(c,b),a)),
    inference(subst,[],[refute_0_5644:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_5646,plain,
    ( difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) != product(c,product(product(c,b),a))
    | product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))))),bind(Y,$fot(product(c,product(product(c,b),a)))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5647,plain,
    ( product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))),product(c,product(product(c,b),a))) )],[refute_0_5645,refute_0_5646]) ).

cnf(refute_0_5648,plain,
    difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),bigC(a,b,product(b,a))) )],[refute_0_5078,refute_0_5647]) ).

cnf(refute_0_5649,plain,
    bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(product(product(c,a),product(product(a,b),b)),product(c,a)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(c,a))),bind(X_22,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_5650,plain,
    quotient(product(a,b),difference(product(a,bigC(b,b,c)),product(a,b))) = product(a,bigC(b,b,c)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,b))),bind(X_6,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_5651,plain,
    difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),c)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(c)),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_5652,plain,
    ( difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) ),[0,0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5653,plain,
    ( difference(product(product(c,product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_5652]) ).

cnf(refute_0_5654,plain,
    difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) )],[refute_0_5651,refute_0_5653]) ).

cnf(refute_0_5655,plain,
    product(a,product(product(b,c),b)) = product(a,product(product(b,c),b)),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,c),b)))]]) ).

cnf(refute_0_5656,plain,
    ( product(a,product(product(b,c),b)) != product(a,product(product(b,c),b))
    | product(product(b,c),b) != bigC(b,b,c)
    | product(a,product(product(b,c),b)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),b)),product(a,product(product(b,c),b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_5657,plain,
    ( product(product(b,c),b) != bigC(b,b,c)
    | product(a,product(product(b,c),b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),b)),product(a,product(product(b,c),b))) )],[refute_0_5655,refute_0_5656]) ).

cnf(refute_0_5658,plain,
    product(a,product(product(b,c),b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),b),bigC(b,b,c)) )],[refute_0_3093,refute_0_5657]) ).

cnf(refute_0_5659,plain,
    product(product(a,a),product(product(b,c),b)) = product(product(a,a),product(product(b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(product(b,c),b)))]]) ).

cnf(refute_0_5660,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),b)) != product(product(a,a),product(product(b,c),b))
    | product(product(a,a),product(product(b,c),b)) = product(a,product(product(b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(product(b,c),b)),product(product(a,a),product(product(b,c),b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_5661,plain,
    ( product(a,a) != a
    | product(product(a,a),product(product(b,c),b)) = product(a,product(product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),b)),product(product(a,a),product(product(b,c),b))) )],[refute_0_5659,refute_0_5660]) ).

cnf(refute_0_5662,plain,
    product(product(a,a),product(product(b,c),b)) = product(a,product(product(b,c),b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_5661]) ).

cnf(refute_0_5663,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,b,c))
    | product(product(a,a),product(product(b,c),b)) != product(a,product(product(b,c),b))
    | product(product(a,a),product(product(b,c),b)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(product(b,c),b)))),bind(Y,$fot(product(a,product(product(b,c),b)))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_5664,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,b,c))
    | product(product(a,a),product(product(b,c),b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),b)),product(a,product(product(b,c),b))) )],[refute_0_5662,refute_0_5663]) ).

cnf(refute_0_5665,plain,
    product(product(a,a),product(product(b,c),b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),b)),product(a,bigC(b,b,c))) )],[refute_0_5658,refute_0_5664]) ).

cnf(refute_0_5666,plain,
    difference(product(product(a,a),product(product(b,c),b)),product(a,b)) = difference(product(product(a,a),product(product(b,c),b)),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,a),product(product(b,c),b)),product(a,b)))]]) ).

cnf(refute_0_5667,plain,
    ( difference(product(product(a,a),product(product(b,c),b)),product(a,b)) != difference(product(product(a,a),product(product(b,c),b)),product(a,b))
    | product(product(a,a),product(product(b,c),b)) != product(a,bigC(b,b,c))
    | difference(product(product(a,a),product(product(b,c),b)),product(a,b)) = difference(product(a,bigC(b,b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,a),product(product(b,c),b)),product(a,b)),difference(product(product(a,a),product(product(b,c),b)),product(a,b))) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_5668,plain,
    ( product(product(a,a),product(product(b,c),b)) != product(a,bigC(b,b,c))
    | difference(product(product(a,a),product(product(b,c),b)),product(a,b)) = difference(product(a,bigC(b,b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(product(b,c),b)),product(a,b)),difference(product(product(a,a),product(product(b,c),b)),product(a,b))) )],[refute_0_5666,refute_0_5667]) ).

cnf(refute_0_5669,plain,
    difference(product(product(a,a),product(product(b,c),b)),product(a,b)) = difference(product(a,bigC(b,b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),b)),product(a,bigC(b,b,c))) )],[refute_0_5665,refute_0_5668]) ).

cnf(refute_0_5670,plain,
    difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = difference(product(product(a,a),product(product(b,c),b)),product(a,b)),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(a)),bind(X_64,$fot(product(b,c))),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_5671,plain,
    ( difference(product(product(a,a),product(product(b,c),b)),product(a,b)) != difference(product(a,bigC(b,b,c)),product(a,b))
    | difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) != difference(product(product(a,a),product(product(b,c),b)),product(a,b))
    | difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = difference(product(a,bigC(b,b,c)),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,product(b,c)),product(a,b)),product(a,b)))),bind(Y,$fot(difference(product(product(a,a),product(product(b,c),b)),product(a,b)))),bind(Z,$fot(difference(product(a,bigC(b,b,c)),product(a,b))))]]) ).

cnf(refute_0_5672,plain,
    ( difference(product(product(a,a),product(product(b,c),b)),product(a,b)) != difference(product(a,bigC(b,b,c)),product(a,b))
    | difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = difference(product(a,bigC(b,b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,b)),product(a,b)),difference(product(product(a,a),product(product(b,c),b)),product(a,b))) )],[refute_0_5670,refute_0_5671]) ).

cnf(refute_0_5673,plain,
    difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) = difference(product(a,bigC(b,b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,a),product(product(b,c),b)),product(a,b)),difference(product(a,bigC(b,b,c)),product(a,b))) )],[refute_0_5669,refute_0_5672]) ).

cnf(refute_0_5674,plain,
    ( difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) != difference(product(a,bigC(b,b,c)),product(a,b))
    | difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | difference(product(a,bigC(b,b,c)),product(a,b)) = product(product(a,b),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) ),[0],$fot(difference(product(a,bigC(b,b,c)),product(a,b)))]]) ).

cnf(refute_0_5675,plain,
    ( difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | difference(product(a,bigC(b,b,c)),product(a,b)) = product(product(a,b),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,b)),product(a,b)),difference(product(a,bigC(b,b,c)),product(a,b))) )],[refute_0_5673,refute_0_5674]) ).

cnf(refute_0_5676,plain,
    difference(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(bigC(b,a,bigC(c,a,b)))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_5677,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(b,bigC(c,a,b)))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_5678,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(c,b))) = product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(b,bigC(c,a,b))))),product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))) ),[0,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_5679,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(c,b))) = product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_5678]) ).

cnf(refute_0_5680,plain,
    quotient(product(a,b),product(product(a,b),product(c,b))) = product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(b,bigC(c,a,b))))),product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))) )],[refute_0_5677,refute_0_5679]) ).

cnf(refute_0_5681,plain,
    quotient(product(a,b),product(product(a,b),product(c,b))) = quotient(product(a,b),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(a,b),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_5682,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(a,b),product(product(a,b),product(c,b))) != quotient(product(a,b),product(product(a,b),product(c,b)))
    | quotient(product(a,b),product(product(a,b),product(c,b))) = quotient(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,b))),quotient(product(a,b),product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_5683,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(a,b),product(product(a,b),product(c,b))) = quotient(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,b))),quotient(product(a,b),product(product(a,b),product(c,b)))) )],[refute_0_5681,refute_0_5682]) ).

cnf(refute_0_5684,plain,
    quotient(product(a,b),product(product(a,b),product(c,b))) = quotient(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_5683]) ).

cnf(refute_0_5685,plain,
    ( quotient(product(a,b),product(product(a,b),product(c,b))) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(c,b))) != quotient(product(a,b),product(product(a,c),b))
    | quotient(product(a,b),product(product(a,c),b)) = product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,b))),product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))) ),[0],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_5686,plain,
    ( quotient(product(a,b),product(product(a,b),product(c,b))) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,b))),quotient(product(a,b),product(product(a,c),b))) )],[refute_0_5684,refute_0_5685]) ).

cnf(refute_0_5687,plain,
    product(bigC(b,bigC(c,a,b),a),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,bigC(c,a,b),a),product(a,b)))]]) ).

cnf(refute_0_5688,plain,
    ( bigC(b,bigC(c,a,b),a) != bigC(b,a,bigC(c,a,b))
    | product(bigC(b,bigC(c,a,b),a),product(a,b)) != product(bigC(b,bigC(c,a,b),a),product(a,b))
    | product(bigC(b,bigC(c,a,b),a),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,bigC(c,a,b),a),product(a,b)),product(bigC(b,bigC(c,a,b),a),product(a,b))) ),[1,0],$fot(bigC(b,a,bigC(c,a,b)))]]) ).

cnf(refute_0_5689,plain,
    ( bigC(b,bigC(c,a,b),a) != bigC(b,a,bigC(c,a,b))
    | product(bigC(b,bigC(c,a,b),a),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,bigC(c,a,b),a),product(a,b)),product(bigC(b,bigC(c,a,b),a),product(a,b))) )],[refute_0_5687,refute_0_5688]) ).

cnf(refute_0_5690,plain,
    product(bigC(b,bigC(c,a,b),a),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(c,a,b),a),bigC(b,a,bigC(c,a,b))) )],[refute_0_224,refute_0_5689]) ).

cnf(refute_0_5691,plain,
    product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(b)),bind(B,$fot(bigC(c,a,b))),bind(C,$fot(a)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_5692,plain,
    product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) = product(product(product(X_63,X_64),product(X_65,X_66)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(X_63,X_64))),bind(C,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_5693,plain,
    ( product(product(X_63,X_64),product(X_65,X_66)) != product(product(X_63,X_65),product(X_64,X_66))
    | product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) != product(product(product(X_63,X_64),product(X_65,X_66)),product(B,D))
    | product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) = product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)),product(product(product(X_63,X_64),product(X_65,X_66)),product(B,D))) ),[1,0],$fot(product(product(X_63,X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_5694,plain,
    ( product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) != product(product(product(X_63,X_64),product(X_65,X_66)),product(B,D))
    | product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) = product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,X_66)),product(product(X_63,X_65),product(X_64,X_66))) )],[refute_0_138,refute_0_5693]) ).

cnf(refute_0_5695,plain,
    product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) = product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)),product(product(product(X_63,X_64),product(X_65,X_66)),product(B,D))) )],[refute_0_5692,refute_0_5694]) ).

cnf(refute_0_5696,plain,
    ( product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) != product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D))
    | product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D)) = product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)))),bind(Y,$fot(product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D))))]]) ).

cnf(refute_0_5697,plain,
    product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D)) = product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)),
    inference(resolve,[$cnf( $equal(product(product(product(X_63,X_64),B),product(product(X_65,X_66),D)),product(product(product(X_63,X_65),product(X_64,X_66)),product(B,D))) )],[refute_0_5695,refute_0_5696]) ).

cnf(refute_0_5698,plain,
    product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) = product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b)),
    inference(subst,[],[refute_0_5697:[bind(B,$fot(a)),bind(D,$fot(b)),bind(X_63,$fot(b)),bind(X_64,$fot(bigC(c,a,b))),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_5699,plain,
    ( product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) != product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b))
    | product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b)) != product(bigC(b,bigC(c,a,b),a),product(a,b))
    | product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)))),bind(Y,$fot(product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b)))),bind(Z,$fot(product(bigC(b,bigC(c,a,b),a),product(a,b))))]]) ).

cnf(refute_0_5700,plain,
    ( product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b)) != product(bigC(b,bigC(c,a,b),a),product(a,b))
    | product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)),product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b))) )],[refute_0_5698,refute_0_5699]) ).

cnf(refute_0_5701,plain,
    product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),a),product(product(a,b),b)),product(bigC(b,bigC(c,a,b),a),product(a,b))) )],[refute_0_5691,refute_0_5700]) ).

cnf(refute_0_5702,plain,
    product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(a,b))),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(bigC(c,a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_5703,plain,
    ( product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) != product(bigC(b,bigC(c,a,b),a),product(a,b))
    | product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) != product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b))
    | product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)))),bind(Y,$fot(product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)))),bind(Z,$fot(product(bigC(b,bigC(c,a,b),a),product(a,b))))]]) ).

cnf(refute_0_5704,plain,
    ( product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)) != product(bigC(b,bigC(c,a,b),a),product(a,b))
    | product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)),product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b))) )],[refute_0_5702,refute_0_5703]) ).

cnf(refute_0_5705,plain,
    product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(bigC(b,bigC(c,a,b),a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(bigC(c,a,b),b)),product(a,b)),product(bigC(b,bigC(c,a,b),a),product(a,b))) )],[refute_0_5701,refute_0_5704]) ).

cnf(refute_0_5706,plain,
    ( product(bigC(b,bigC(c,a,b),a),product(a,b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) != product(bigC(b,bigC(c,a,b),a),product(a,b))
    | product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)))),bind(Y,$fot(product(bigC(b,bigC(c,a,b),a),product(a,b)))),bind(Z,$fot(product(bigC(b,a,bigC(c,a,b)),product(a,b))))]]) ).

cnf(refute_0_5707,plain,
    ( product(bigC(b,bigC(c,a,b),a),product(a,b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)),product(bigC(b,bigC(c,a,b),a),product(a,b))) )],[refute_0_5705,refute_0_5706]) ).

cnf(refute_0_5708,plain,
    product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,bigC(c,a,b),a),product(a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) )],[refute_0_5690,refute_0_5707]) ).

cnf(refute_0_5709,plain,
    ( product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))) ),[1],$fot(product(bigC(b,a,bigC(c,a,b)),product(a,b)))]]) ).

cnf(refute_0_5710,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) )],[refute_0_5708,refute_0_5709]) ).

cnf(refute_0_5711,plain,
    ( quotient(product(a,b),product(product(a,b),product(c,b))) != product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))) )],[refute_0_5686,refute_0_5710]) ).

cnf(refute_0_5712,plain,
    quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,b))),product(product(product(b,bigC(c,a,b)),product(a,b)),product(a,b))) )],[refute_0_5680,refute_0_5711]) ).

cnf(refute_0_5713,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | product(bigC(b,a,bigC(c,a,b)),product(a,b)) = quotient(product(a,b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(a,b),product(product(a,c),b)))),bind(Y,$fot(product(bigC(b,a,bigC(c,a,b)),product(a,b))))]]) ).

cnf(refute_0_5714,plain,
    product(bigC(b,a,bigC(c,a,b)),product(a,b)) = quotient(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) )],[refute_0_5712,refute_0_5713]) ).

cnf(refute_0_5715,plain,
    ( difference(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | product(bigC(b,a,bigC(c,a,b)),product(a,b)) != quotient(product(a,b),product(product(a,c),b))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) ),[0,0,0],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_5716,plain,
    ( difference(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(a,b)),quotient(product(a,b),product(product(a,c),b))) )],[refute_0_5714,refute_0_5715]) ).

cnf(refute_0_5717,plain,
    difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) )],[refute_0_5676,refute_0_5716]) ).

cnf(refute_0_5718,plain,
    product(bigC(a,a,c),product(b,b)) = product(bigC(a,a,c),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(b,b)))]]) ).

cnf(refute_0_5719,plain,
    ( product(b,b) != b
    | product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),product(b,b))
    | product(bigC(a,a,c),product(b,b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(b,b)),product(bigC(a,a,c),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_5720,plain,
    ( product(b,b) != b
    | product(bigC(a,a,c),product(b,b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,b)),product(bigC(a,a,c),product(b,b))) )],[refute_0_5718,refute_0_5719]) ).

cnf(refute_0_5721,plain,
    product(bigC(a,a,c),product(b,b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_5720]) ).

cnf(refute_0_5722,plain,
    product(product(A,B),product(product(X_84,A),D)) = product(product(A,product(X_84,A)),product(B,D)),
    inference(subst,[],[sos05:[bind(C,$fot(product(X_84,A)))]]) ).

cnf(refute_0_5723,plain,
    bigC(A,A,X_84) = product(A,product(X_84,A)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(A)),bind(X_23,$fot(X_84))]]) ).

cnf(refute_0_5724,plain,
    ( bigC(A,A,X_84) != product(A,product(X_84,A))
    | product(A,product(X_84,A)) = bigC(A,A,X_84) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(A,A,X_84))),bind(Y,$fot(product(A,product(X_84,A))))]]) ).

cnf(refute_0_5725,plain,
    product(A,product(X_84,A)) = bigC(A,A,X_84),
    inference(resolve,[$cnf( $equal(bigC(A,A,X_84),product(A,product(X_84,A))) )],[refute_0_5723,refute_0_5724]) ).

cnf(refute_0_5726,plain,
    ( product(A,product(X_84,A)) != bigC(A,A,X_84)
    | product(product(A,B),product(product(X_84,A),D)) != product(product(A,product(X_84,A)),product(B,D))
    | product(product(A,B),product(product(X_84,A),D)) = product(bigC(A,A,X_84),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,B),product(product(X_84,A),D)),product(product(A,product(X_84,A)),product(B,D))) ),[1,0],$fot(bigC(A,A,X_84))]]) ).

cnf(refute_0_5727,plain,
    ( product(product(A,B),product(product(X_84,A),D)) != product(product(A,product(X_84,A)),product(B,D))
    | product(product(A,B),product(product(X_84,A),D)) = product(bigC(A,A,X_84),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(A,product(X_84,A)),bigC(A,A,X_84)) )],[refute_0_5725,refute_0_5726]) ).

cnf(refute_0_5728,plain,
    product(product(A,B),product(product(X_84,A),D)) = product(bigC(A,A,X_84),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(A,B),product(product(X_84,A),D)),product(product(A,product(X_84,A)),product(B,D))) )],[refute_0_5722,refute_0_5727]) ).

cnf(refute_0_5729,plain,
    product(product(a,b),product(product(c,a),b)) = product(bigC(a,a,c),product(b,b)),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(a)),bind(B,$fot(b)),bind(D,$fot(b)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_5730,plain,
    ( product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(c,a),b)) != product(bigC(a,a,c),product(b,b))
    | product(product(a,b),product(product(c,a),b)) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(product(c,a),b)))),bind(Y,$fot(product(bigC(a,a,c),product(b,b)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5731,plain,
    ( product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(c,a),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,a),b)),product(bigC(a,a,c),product(b,b))) )],[refute_0_5729,refute_0_5730]) ).

cnf(refute_0_5732,plain,
    product(product(a,b),product(product(c,a),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,b)),product(bigC(a,a,c),b)) )],[refute_0_5721,refute_0_5731]) ).

cnf(refute_0_5733,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_5734,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) != product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_5735,plain,
    ( product(product(a,b),bigC(b,a,bigC(c,a,b))) != product(product(c,a),b)
    | product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) )],[refute_0_5733,refute_0_5734]) ).

cnf(refute_0_5736,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(product(a,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_1156,refute_0_5735]) ).

cnf(refute_0_5737,plain,
    ( product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) != product(product(a,b),product(product(c,a),b))
    | product(product(a,b),product(product(c,a),b)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))))),bind(Y,$fot(product(product(a,b),product(product(c,a),b)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5738,plain,
    ( product(product(a,b),product(product(c,a),b)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),product(product(a,b),product(product(c,a),b))) )],[refute_0_5736,refute_0_5737]) ).

cnf(refute_0_5739,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,a),b)),product(bigC(a,a,c),b)) )],[refute_0_5732,refute_0_5738]) ).

cnf(refute_0_5740,plain,
    ( difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))) != product(bigC(a,a,c),b)
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),product(bigC(a,a,c),b)) ),[0],$fot(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_5741,plain,
    ( difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b)))),product(bigC(a,a,c),b)) )],[refute_0_5739,refute_0_5740]) ).

cnf(refute_0_5742,plain,
    difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),bigC(b,a,bigC(c,a,b))))) )],[refute_0_5717,refute_0_5741]) ).

cnf(refute_0_5743,plain,
    difference(product(product(X_15,product(X_65,X_66)),product(X_65,X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),X_15)),
    inference(subst,[],[refute_0_747:[bind(X_16,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_5744,plain,
    product(product(X_15,product(X_65,X_66)),product(X_65,X_66)) = product(product(X_15,X_65),product(product(X_65,X_66),X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(X_15)),bind(B,$fot(product(X_65,X_66))),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_5745,plain,
    ( difference(product(product(X_15,product(X_65,X_66)),product(X_65,X_66)),product(X_65,X_66)) != product(product(X_65,X_66),product(product(X_65,X_66),X_15))
    | product(product(X_15,product(X_65,X_66)),product(X_65,X_66)) != product(product(X_15,X_65),product(product(X_65,X_66),X_66))
    | difference(product(product(X_15,X_65),product(product(X_65,X_66),X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_15,product(X_65,X_66)),product(X_65,X_66)),product(X_65,X_66)),product(product(X_65,X_66),product(product(X_65,X_66),X_15))) ),[0,0],$fot(product(product(X_15,X_65),product(product(X_65,X_66),X_66)))]]) ).

cnf(refute_0_5746,plain,
    ( difference(product(product(X_15,product(X_65,X_66)),product(X_65,X_66)),product(X_65,X_66)) != product(product(X_65,X_66),product(product(X_65,X_66),X_15))
    | difference(product(product(X_15,X_65),product(product(X_65,X_66),X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),X_15)) ),
    inference(resolve,[$cnf( $equal(product(product(X_15,product(X_65,X_66)),product(X_65,X_66)),product(product(X_15,X_65),product(product(X_65,X_66),X_66))) )],[refute_0_5744,refute_0_5745]) ).

cnf(refute_0_5747,plain,
    difference(product(product(X_15,X_65),product(product(X_65,X_66),X_66)),product(X_65,X_66)) = product(product(X_65,X_66),product(product(X_65,X_66),X_15)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_15,product(X_65,X_66)),product(X_65,X_66)),product(X_65,X_66)),product(product(X_65,X_66),product(product(X_65,X_66),X_15))) )],[refute_0_5743,refute_0_5746]) ).

cnf(refute_0_5748,plain,
    difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,c))),
    inference(subst,[],[refute_0_5747:[bind(X_15,$fot(bigC(b,a,c))),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_5749,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(b,a,bigC(c,a,b)))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_5750,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(a,b)) != quotient(product(a,b),product(product(a,c),b))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(B,D))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(B,D))) ),[1,0],$fot(quotient(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_5751,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(B,D))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(a,b)),quotient(product(a,b),product(product(a,c),b))) )],[refute_0_5714,refute_0_5750]) ).

cnf(refute_0_5752,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(quotient(product(a,b),product(product(a,c),b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(B,D))) )],[refute_0_5749,refute_0_5751]) ).

cnf(refute_0_5753,plain,
    product(bigC(b,a,bigC(c,a,b)),B) = product(bigC(b,a,bigC(c,a,b)),B),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,bigC(c,a,b)),B))]]) ).

cnf(refute_0_5754,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),B) != product(bigC(b,a,bigC(c,a,b)),B)
    | product(bigC(b,a,bigC(c,a,b)),B) = product(bigC(b,a,c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),B),product(bigC(b,a,bigC(c,a,b)),B)) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_5755,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),B) = product(bigC(b,a,c),B) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),B),product(bigC(b,a,bigC(c,a,b)),B)) )],[refute_0_5753,refute_0_5754]) ).

cnf(refute_0_5756,plain,
    product(bigC(b,a,bigC(c,a,b)),B) = product(bigC(b,a,c),B),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_485,refute_0_5755]) ).

cnf(refute_0_5757,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)))]]) ).

cnf(refute_0_5758,plain,
    ( product(bigC(b,a,bigC(c,a,b)),B) != product(bigC(b,a,c),B)
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(product(bigC(b,a,c),B),product(product(a,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D))) ),[1,0],$fot(product(bigC(b,a,c),B))]]) ).

cnf(refute_0_5759,plain,
    ( product(bigC(b,a,bigC(c,a,b)),B) != product(bigC(b,a,c),B)
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(product(bigC(b,a,c),B),product(product(a,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D))) )],[refute_0_5757,refute_0_5758]) ).

cnf(refute_0_5760,plain,
    product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) = product(product(bigC(b,a,c),B),product(product(a,b),D)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),B),product(bigC(b,a,c),B)) )],[refute_0_5756,refute_0_5759]) ).

cnf(refute_0_5761,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(product(bigC(b,a,c),B),product(product(a,b),D))
    | product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(quotient(product(a,b),product(product(a,c),b)),product(B,D))
    | product(product(bigC(b,a,c),B),product(product(a,b),D)) = product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(quotient(product(a,b),product(product(a,c),b)),product(B,D))) ),[0],$fot(product(product(bigC(b,a,c),B),product(product(a,b),D)))]]) ).

cnf(refute_0_5762,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(quotient(product(a,b),product(product(a,c),b)),product(B,D))
    | product(product(bigC(b,a,c),B),product(product(a,b),D)) = product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(product(bigC(b,a,c),B),product(product(a,b),D))) )],[refute_0_5760,refute_0_5761]) ).

cnf(refute_0_5763,plain,
    product(bigC(b,a,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,bigC(c,a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,bigC(c,a,b)),product(a,b)))]]) ).

cnf(refute_0_5764,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),product(a,b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | product(bigC(b,a,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) ),[1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_5765,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(bigC(b,a,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) )],[refute_0_5763,refute_0_5764]) ).

cnf(refute_0_5766,plain,
    product(bigC(b,a,bigC(c,a,b)),product(a,b)) = product(bigC(b,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_485,refute_0_5765]) ).

cnf(refute_0_5767,plain,
    ( product(bigC(b,a,bigC(c,a,b)),product(a,b)) != product(bigC(b,a,c),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) ),[1],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_5768,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,bigC(c,a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,bigC(c,a,b)),product(a,b)),product(bigC(b,a,c),product(a,b))) )],[refute_0_5766,refute_0_5767]) ).

cnf(refute_0_5769,plain,
    quotient(product(a,b),product(product(a,c),b)) = product(bigC(b,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,bigC(c,a,b)),product(a,b))) )],[refute_0_5712,refute_0_5768]) ).

cnf(refute_0_5770,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) = product(quotient(product(a,b),product(product(a,c),b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,b),product(product(a,c),b)),product(B,D)))]]) ).

cnf(refute_0_5771,plain,
    ( product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) != product(quotient(product(a,b),product(product(a,c),b)),product(B,D))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(B,D)),product(quotient(product(a,b),product(product(a,c),b)),product(B,D))) ),[1,0],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_5772,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(B,D)),product(quotient(product(a,b),product(product(a,c),b)),product(B,D))) )],[refute_0_5770,refute_0_5771]) ).

cnf(refute_0_5773,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,c),product(a,b))) )],[refute_0_5769,refute_0_5772]) ).

cnf(refute_0_5774,plain,
    ( product(product(bigC(b,a,c),B),product(product(a,b),D)) != product(quotient(product(a,b),product(product(a,c),b)),product(B,D))
    | product(quotient(product(a,b),product(product(a,c),b)),product(B,D)) != product(product(bigC(b,a,c),product(a,b)),product(B,D))
    | product(product(bigC(b,a,c),B),product(product(a,b),D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(b,a,c),B),product(product(a,b),D)),product(product(bigC(b,a,c),product(a,b)),product(B,D))) ),[0],$fot(product(quotient(product(a,b),product(product(a,c),b)),product(B,D)))]]) ).

cnf(refute_0_5775,plain,
    ( product(product(bigC(b,a,c),B),product(product(a,b),D)) != product(quotient(product(a,b),product(product(a,c),b)),product(B,D))
    | product(product(bigC(b,a,c),B),product(product(a,b),D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(B,D)),product(product(bigC(b,a,c),product(a,b)),product(B,D))) )],[refute_0_5773,refute_0_5774]) ).

cnf(refute_0_5776,plain,
    ( product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)) != product(quotient(product(a,b),product(product(a,c),b)),product(B,D))
    | product(product(bigC(b,a,c),B),product(product(a,b),D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(product(a,b),D)),product(quotient(product(a,b),product(product(a,c),b)),product(B,D))) )],[refute_0_5762,refute_0_5775]) ).

cnf(refute_0_5777,plain,
    product(product(bigC(b,a,c),B),product(product(a,b),D)) = product(product(bigC(b,a,c),product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,bigC(c,a,b)),B),product(product(a,b),D)),product(quotient(product(a,b),product(product(a,c),b)),product(B,D))) )],[refute_0_5752,refute_0_5776]) ).

cnf(refute_0_5778,plain,
    ( product(product(bigC(b,a,c),B),product(product(a,b),D)) != product(product(bigC(b,a,c),product(a,b)),product(B,D))
    | product(product(bigC(b,a,c),product(a,b)),product(B,D)) = product(product(bigC(b,a,c),B),product(product(a,b),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(b,a,c),B),product(product(a,b),D)))),bind(Y,$fot(product(product(bigC(b,a,c),product(a,b)),product(B,D))))]]) ).

cnf(refute_0_5779,plain,
    product(product(bigC(b,a,c),product(a,b)),product(B,D)) = product(product(bigC(b,a,c),B),product(product(a,b),D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(product(a,b),D)),product(product(bigC(b,a,c),product(a,b)),product(B,D))) )],[refute_0_5777,refute_0_5778]) ).

cnf(refute_0_5780,plain,
    product(product(bigC(b,a,c),product(a,b)),product(a,b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)),
    inference(subst,[],[refute_0_5779:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_5781,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))]]) ).

cnf(refute_0_5782,plain,
    ( product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) != product(quotient(product(a,b),product(product(a,c),b)),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(bigC(b,a,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))) ),[1,0],$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_5783,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(bigC(b,a,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(quotient(product(a,b),product(product(a,c),b)),product(a,b))) )],[refute_0_5781,refute_0_5782]) ).

cnf(refute_0_5784,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(bigC(b,a,c),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,c),product(a,b))) )],[refute_0_5769,refute_0_5783]) ).

cnf(refute_0_5785,plain,
    ( product(product(bigC(b,a,c),product(a,b)),product(a,b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)))),bind(Y,$fot(product(product(bigC(b,a,c),product(a,b)),product(a,b)))),bind(Z,$fot(product(product(bigC(b,a,c),a),product(product(a,b),b))))]]) ).

cnf(refute_0_5786,plain,
    ( product(product(bigC(b,a,c),product(a,b)),product(a,b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(product(bigC(b,a,c),product(a,b)),product(a,b))) )],[refute_0_5784,refute_0_5785]) ).

cnf(refute_0_5787,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),product(a,b)),product(a,b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) )],[refute_0_5780,refute_0_5786]) ).

cnf(refute_0_5788,plain,
    difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_5789,plain,
    ( difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b))
    | product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b))) ),[1,0],$fot(product(product(bigC(b,a,c),a),product(product(a,b),b)))]]) ).

cnf(refute_0_5790,plain,
    ( product(quotient(product(a,b),product(product(a,c),b)),product(a,b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b))) )],[refute_0_5788,refute_0_5789]) ).

cnf(refute_0_5791,plain,
    difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) )],[refute_0_5787,refute_0_5790]) ).

cnf(refute_0_5792,plain,
    ( difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,c)))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)))),bind(Y,$fot(difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)))),bind(Z,$fot(product(product(a,b),product(product(a,b),bigC(b,a,c)))))]]) ).

cnf(refute_0_5793,plain,
    ( difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,c)))
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b))) )],[refute_0_5791,refute_0_5792]) ).

cnf(refute_0_5794,plain,
    difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),bigC(b,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(a,b)),product(product(a,b),product(product(a,b),bigC(b,a,c)))) )],[refute_0_5748,refute_0_5793]) ).

cnf(refute_0_5795,plain,
    ( difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != product(bigC(a,a,c),b)
    | difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),bigC(b,a,c)))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),product(bigC(a,a,c),b)) ),[0],$fot(product(product(a,b),product(product(a,b),bigC(b,a,c))))]]) ).

cnf(refute_0_5796,plain,
    ( difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),bigC(b,a,c)))) )],[refute_0_5794,refute_0_5795]) ).

cnf(refute_0_5797,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(a,b)),product(bigC(a,a,c),b)) )],[refute_0_5742,refute_0_5796]) ).

cnf(refute_0_5798,plain,
    product(product(a,b),product(c,product(c,b))) = product(product(a,c),bigC(b,b,c)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_5799,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,b),product(product(a,b),bigC(b,a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(a,b),bigC(b,a,c))))]]) ).

cnf(refute_0_5800,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) != product(product(a,b),product(product(a,b),bigC(b,a,c)))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,c))),product(product(a,b),product(product(a,b),bigC(b,a,c)))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_5801,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,c))),product(product(a,b),product(product(a,b),bigC(b,a,c)))) )],[refute_0_5799,refute_0_5800]) ).

cnf(refute_0_5802,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_5801]) ).

cnf(refute_0_5803,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(product(a,c),bigC(b,b,c))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) != product(product(a,b),product(c,product(c,b)))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,c),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(product(a,b),bigC(b,a,c))))),bind(Y,$fot(product(product(a,b),product(c,product(c,b))))),bind(Z,$fot(product(product(a,c),bigC(b,b,c))))]]) ).

cnf(refute_0_5804,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(product(a,c),bigC(b,b,c))
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,c))),product(product(a,b),product(c,product(c,b)))) )],[refute_0_5802,refute_0_5803]) ).

cnf(refute_0_5805,plain,
    product(product(a,b),product(product(a,b),bigC(b,a,c))) = product(product(a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(c,b))),product(product(a,c),bigC(b,b,c))) )],[refute_0_5798,refute_0_5804]) ).

cnf(refute_0_5806,plain,
    ( product(product(a,b),product(product(a,b),bigC(b,a,c))) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(a,b),bigC(b,a,c))) != product(product(a,c),bigC(b,b,c))
    | product(product(a,c),bigC(b,b,c)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,c))),product(bigC(a,a,c),b)) ),[0],$fot(product(product(a,c),bigC(b,b,c)))]]) ).

cnf(refute_0_5807,plain,
    ( product(product(a,b),product(product(a,b),bigC(b,a,c))) != product(bigC(a,a,c),b)
    | product(product(a,c),bigC(b,b,c)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,c))),product(product(a,c),bigC(b,b,c))) )],[refute_0_5805,refute_0_5806]) ).

cnf(refute_0_5808,plain,
    product(product(a,c),bigC(b,b,c)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),bigC(b,a,c))),product(bigC(a,a,c),b)) )],[refute_0_5797,refute_0_5807]) ).

cnf(refute_0_5809,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(product(a,c),bigC(b,b,c))
    | product(product(a,c),bigC(b,b,c)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(c,product(c,b))) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(c,product(c,b))))),bind(Y,$fot(product(product(a,c),bigC(b,b,c)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5810,plain,
    ( product(product(a,c),bigC(b,b,c)) != product(bigC(a,a,c),b)
    | product(product(a,b),product(c,product(c,b))) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(c,b))),product(product(a,c),bigC(b,b,c))) )],[refute_0_5798,refute_0_5809]) ).

cnf(refute_0_5811,plain,
    product(product(a,b),product(c,product(c,b))) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,c)),product(bigC(a,a,c),b)) )],[refute_0_5808,refute_0_5810]) ).

cnf(refute_0_5812,plain,
    product(product(a,b),product(product(a,b),c)) = product(product(a,b),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(a,b),c)))]]) ).

cnf(refute_0_5813,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),product(product(a,b),c)) != product(product(a,b),product(product(a,b),c))
    | product(product(a,b),product(product(a,b),c)) = product(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),c)),product(product(a,b),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_5814,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),product(product(a,b),c)) = product(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),c)),product(product(a,b),product(product(a,b),c))) )],[refute_0_5812,refute_0_5813]) ).

cnf(refute_0_5815,plain,
    product(product(a,b),product(product(a,b),c)) = product(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_5814]) ).

cnf(refute_0_5816,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(a,b),c)) != product(product(a,b),product(c,product(c,b)))
    | product(product(a,b),product(product(a,b),c)) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(product(a,b),c)))),bind(Y,$fot(product(product(a,b),product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5817,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | product(product(a,b),product(product(a,b),c)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),c)),product(product(a,b),product(c,product(c,b)))) )],[refute_0_5815,refute_0_5816]) ).

cnf(refute_0_5818,plain,
    product(product(a,b),product(product(a,b),c)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(c,b))),product(bigC(a,a,c),b)) )],[refute_0_5811,refute_0_5817]) ).

cnf(refute_0_5819,plain,
    ( difference(product(a,bigC(b,b,c)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | product(product(a,b),product(product(a,b),c)) != product(bigC(a,a,c),b)
    | difference(product(a,bigC(b,b,c)),product(a,b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,bigC(b,b,c)),product(a,b)),product(bigC(a,a,c),b)) ),[0],$fot(product(product(a,b),product(product(a,b),c)))]]) ).

cnf(refute_0_5820,plain,
    ( difference(product(a,bigC(b,b,c)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | difference(product(a,bigC(b,b,c)),product(a,b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),c)),product(bigC(a,a,c),b)) )],[refute_0_5818,refute_0_5819]) ).

cnf(refute_0_5821,plain,
    ( difference(product(product(a,product(b,c)),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),c))
    | difference(product(a,bigC(b,b,c)),product(a,b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(b,b,c)),product(a,b)),product(product(a,b),product(product(a,b),c))) )],[refute_0_5675,refute_0_5820]) ).

cnf(refute_0_5822,plain,
    difference(product(a,bigC(b,b,c)),product(a,b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),c))) )],[refute_0_5654,refute_0_5821]) ).

cnf(refute_0_5823,plain,
    ( difference(product(a,bigC(b,b,c)),product(a,b)) != product(bigC(a,a,c),b)
    | quotient(product(a,b),difference(product(a,bigC(b,b,c)),product(a,b))) != product(a,bigC(b,b,c))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),difference(product(a,bigC(b,b,c)),product(a,b))),product(a,bigC(b,b,c))) ),[0,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_5824,plain,
    ( quotient(product(a,b),difference(product(a,bigC(b,b,c)),product(a,b))) != product(a,bigC(b,b,c))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,bigC(b,b,c)),product(a,b)),product(bigC(a,a,c),b)) )],[refute_0_5822,refute_0_5823]) ).

cnf(refute_0_5825,plain,
    quotient(product(a,b),product(bigC(a,a,c),b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),difference(product(a,bigC(b,b,c)),product(a,b))),product(a,bigC(b,b,c))) )],[refute_0_5650,refute_0_5824]) ).

cnf(refute_0_5826,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,c)))) = product(product(bigC(b,a,c),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(b,a,c))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_5827,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,c)))) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = product(product(bigC(b,a,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,c)))),product(product(bigC(b,a,c),product(a,b)),product(a,b))) ),[0,1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_5828,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,c)))) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = product(product(bigC(b,a,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_5827]) ).

cnf(refute_0_5829,plain,
    quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = product(product(bigC(b,a,c),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),bigC(b,a,c)))),product(product(bigC(b,a,c),product(a,b)),product(a,b))) )],[refute_0_5826,refute_0_5828]) ).

cnf(refute_0_5830,plain,
    quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = quotient(product(a,b),product(product(a,b),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,b),product(product(a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_5831,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) != quotient(product(a,b),product(product(a,b),product(c,product(c,b))))
    | quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = quotient(product(a,b),product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,product(c,b)))),quotient(product(a,b),product(product(a,b),product(c,product(c,b))))) ),[1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_5832,plain,
    ( product(product(a,b),product(c,product(c,b))) != product(bigC(a,a,c),b)
    | quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = quotient(product(a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,product(c,b)))),quotient(product(a,b),product(product(a,b),product(c,product(c,b))))) )],[refute_0_5830,refute_0_5831]) ).

cnf(refute_0_5833,plain,
    quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) = quotient(product(a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,product(c,b))),product(bigC(a,a,c),b)) )],[refute_0_5811,refute_0_5832]) ).

cnf(refute_0_5834,plain,
    ( quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) != quotient(product(a,b),product(bigC(a,a,c),b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,product(c,b)))),product(product(bigC(b,a,c),product(a,b)),product(a,b))) ),[0],$fot(quotient(product(a,b),product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_5835,plain,
    ( quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,product(c,b)))),quotient(product(a,b),product(bigC(a,a,c),b))) )],[refute_0_5833,refute_0_5834]) ).

cnf(refute_0_5836,plain,
    ( product(product(bigC(b,a,c),product(a,b)),product(a,b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(bigC(b,a,c),product(a,b)),product(a,b))) ),[1],$fot(product(product(bigC(b,a,c),a),product(product(a,b),b)))]]) ).

cnf(refute_0_5837,plain,
    ( quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),product(a,b)),product(a,b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) )],[refute_0_5780,refute_0_5836]) ).

cnf(refute_0_5838,plain,
    ( quotient(product(a,b),product(product(a,b),product(c,product(c,b)))) != product(product(bigC(b,a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(bigC(b,a,c),product(a,b)),product(a,b))) )],[refute_0_5835,refute_0_5837]) ).

cnf(refute_0_5839,plain,
    quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(c,product(c,b)))),product(product(bigC(b,a,c),product(a,b)),product(a,b))) )],[refute_0_5829,refute_0_5838]) ).

cnf(refute_0_5840,plain,
    product(bigC(b,a,c),a) = product(bigC(b,a,c),a),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),a))]]) ).

cnf(refute_0_5841,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),a) != product(bigC(b,a,c),a)
    | product(bigC(b,a,c),a) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),a),product(bigC(b,a,c),a)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5842,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),a) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),a),product(bigC(b,a,c),a)) )],[refute_0_5840,refute_0_5841]) ).

cnf(refute_0_5843,plain,
    product(bigC(b,a,c),a) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_5842]) ).

cnf(refute_0_5844,plain,
    product(product(bigC(b,a,c),a),product(product(a,b),b)) = product(product(bigC(b,a,c),a),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,c),a),product(product(a,b),b)))]]) ).

cnf(refute_0_5845,plain,
    ( product(bigC(b,a,c),a) != product(c,a)
    | product(product(bigC(b,a,c),a),product(product(a,b),b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | product(product(bigC(b,a,c),a),product(product(a,b),b)) = product(product(c,a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_5846,plain,
    ( product(bigC(b,a,c),a) != product(c,a)
    | product(product(bigC(b,a,c),a),product(product(a,b),b)) = product(product(c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) )],[refute_0_5844,refute_0_5845]) ).

cnf(refute_0_5847,plain,
    product(product(bigC(b,a,c),a),product(product(a,b),b)) = product(product(c,a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),a),product(c,a)) )],[refute_0_5843,refute_0_5846]) ).

cnf(refute_0_5848,plain,
    ( product(product(bigC(b,a,c),a),product(product(a,b),b)) != product(product(c,a),product(product(a,b),b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(c,a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) ),[1],$fot(product(product(c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_5849,plain,
    ( quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(bigC(b,a,c),a),product(product(a,b),b))
    | quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),a),product(product(a,b),b)),product(product(c,a),product(product(a,b),b))) )],[refute_0_5847,refute_0_5848]) ).

cnf(refute_0_5850,plain,
    quotient(product(a,b),product(bigC(a,a,c),b)) = product(product(c,a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(bigC(b,a,c),a),product(product(a,b),b))) )],[refute_0_5839,refute_0_5849]) ).

cnf(refute_0_5851,plain,
    ( quotient(product(a,b),product(bigC(a,a,c),b)) != product(a,bigC(b,b,c))
    | quotient(product(a,b),product(bigC(a,a,c),b)) != product(product(c,a),product(product(a,b),b))
    | product(product(c,a),product(product(a,b),b)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(a,bigC(b,b,c))) ),[0],$fot(product(product(c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_5852,plain,
    ( quotient(product(a,b),product(bigC(a,a,c),b)) != product(a,bigC(b,b,c))
    | product(product(c,a),product(product(a,b),b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(product(c,a),product(product(a,b),b))) )],[refute_0_5850,refute_0_5851]) ).

cnf(refute_0_5853,plain,
    product(product(c,a),product(product(a,b),b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(bigC(a,a,c),b)),product(a,bigC(b,b,c))) )],[refute_0_5825,refute_0_5852]) ).

cnf(refute_0_5854,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(product(product(c,a),product(product(a,b),b)),product(c,a))
    | product(product(c,a),product(product(a,b),b)) != product(a,bigC(b,b,c))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(product(a,bigC(b,b,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),product(product(product(c,a),product(product(a,b),b)),product(c,a))) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_5855,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(product(product(c,a),product(product(a,b),b)),product(c,a))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(product(a,bigC(b,b,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),b)),product(a,bigC(b,b,c))) )],[refute_0_5853,refute_0_5854]) ).

cnf(refute_0_5856,plain,
    bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(product(a,bigC(b,b,c)),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),product(product(product(c,a),product(product(a,b),b)),product(c,a))) )],[refute_0_5649,refute_0_5855]) ).

cnf(refute_0_5857,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_5858,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(product(a,b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),bigC(c,b,c)),product(product(a,b),bigC(c,a,c))) ),[0],$fot(product(bigC(a,a,c),product(b,c)))]]) ).

cnf(refute_0_5859,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,c),product(b,c))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(product(a,b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),product(product(a,b),bigC(c,a,c))) )],[refute_0_5280,refute_0_5858]) ).

cnf(refute_0_5860,plain,
    product(bigC(a,a,b),bigC(c,b,c)) = product(product(a,b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5275,refute_0_5859]) ).

cnf(refute_0_5861,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(bigC(a,a,b),bigC(c,b,c)) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),bigC(c,b,c)),product(product(a,product(b,c)),c)) ),[0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_5862,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(product(a,b),bigC(c,a,c))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_5861]) ).

cnf(refute_0_5863,plain,
    product(bigC(a,a,b),bigC(c,b,c)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(product(a,b),bigC(c,a,c))) )],[refute_0_5860,refute_0_5862]) ).

cnf(refute_0_5864,plain,
    product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,b),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(c,b,c)))]]) ).

cnf(refute_0_5865,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,b),bigC(c,b,c))
    | product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,b),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_5866,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,b),bigC(c,b,c))) )],[refute_0_5864,refute_0_5865]) ).

cnf(refute_0_5867,plain,
    product(bigC(a,a,b),bigC(c,b,c)) = product(bigC(a,a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_5866]) ).

cnf(refute_0_5868,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,b),bigC(b,a,b))
    | product(bigC(a,a,b),bigC(c,b,c)) != product(product(a,product(b,c)),c)
    | product(bigC(a,a,b),bigC(b,a,b)) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(product(a,product(b,c)),c)) ),[0],$fot(product(bigC(a,a,b),bigC(b,a,b)))]]) ).

cnf(refute_0_5869,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(product(a,product(b,c)),c)
    | product(bigC(a,a,b),bigC(b,a,b)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,b),bigC(b,a,b))) )],[refute_0_5867,refute_0_5868]) ).

cnf(refute_0_5870,plain,
    product(bigC(a,a,b),bigC(b,a,b)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(product(a,product(b,c)),c)) )],[refute_0_5863,refute_0_5869]) ).

cnf(refute_0_5871,plain,
    ( product(bigC(a,a,b),bigC(b,a,b)) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(bigC(a,a,b),bigC(b,a,b)) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,b,product(a,b))) ),[0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5872,plain,
    ( product(bigC(a,a,b),bigC(b,a,b)) != product(product(a,product(b,c)),c)
    | product(bigC(a,a,b),bigC(b,a,b)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_5871]) ).

cnf(refute_0_5873,plain,
    product(bigC(a,a,b),bigC(b,a,b)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),product(product(a,product(b,c)),c)) )],[refute_0_5870,refute_0_5872]) ).

cnf(refute_0_5874,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,a,b))
    | product(bigC(a,a,b),bigC(b,a,b)) != bigC(a,b,product(a,b))
    | bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,a,b))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_5875,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,b,product(a,b))) )],[refute_0_5873,refute_0_5874]) ).

cnf(refute_0_5876,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,a,b))) )],[refute_0_5857,refute_0_5875]) ).

cnf(refute_0_5877,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))
    | product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)) != product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) ),[0],$fot(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_5878,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b)),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) )],[refute_0_5376,refute_0_5877]) ).

cnf(refute_0_5879,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(bigC(a,a,c),product(b,c)),bigC(a,a,b))) )],[refute_0_5369,refute_0_5878]) ).

cnf(refute_0_5880,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))
    | product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),[0],$fot(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_5881,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) )],[refute_0_5387,refute_0_5880]) ).

cnf(refute_0_5882,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(product(a,b),bigC(c,a,c)),bigC(a,a,b))) )],[refute_0_5879,refute_0_5881]) ).

cnf(refute_0_5883,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)))]]) ).

cnf(refute_0_5884,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))) ),[1,2],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_5885,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c))) )],[refute_0_5883,refute_0_5884]) ).

cnf(refute_0_5886,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_5885]) ).

cnf(refute_0_5887,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)))]]) ).

cnf(refute_0_5888,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b))) )],[refute_0_5886,refute_0_5887]) ).

cnf(refute_0_5889,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = product(product(product(a,product(b,c)),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(c,b,c)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) )],[refute_0_5882,refute_0_5888]) ).

cnf(refute_0_5890,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | product(product(product(a,product(b,c)),c),bigC(a,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),bigC(product(a,c),c,product(b,product(a,c)))) ),[0],$fot(product(product(product(a,product(b,c)),c),bigC(a,a,b)))]]) ).

cnf(refute_0_5891,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != product(product(product(a,product(b,c)),c),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),bigC(a,a,b)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5549,refute_0_5890]) ).

cnf(refute_0_5892,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),product(product(product(a,product(b,c)),c),bigC(a,a,b))) )],[refute_0_5889,refute_0_5891]) ).

cnf(refute_0_5893,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_5894,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b))
    | bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)))),bind(Z,$fot(bigC(product(a,c),c,product(b,product(a,c)))))]]) ).

cnf(refute_0_5895,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b))) )],[refute_0_5893,refute_0_5894]) ).

cnf(refute_0_5896,plain,
    bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,a,b)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5892,refute_0_5895]) ).

cnf(refute_0_5897,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | bigC(product(a,c),c,product(b,product(a,c))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) ),[0],$fot(bigC(product(a,c),c,product(b,product(a,c))))]]) ).

cnf(refute_0_5898,plain,
    ( bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | bigC(product(a,c),c,product(b,product(a,c))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5896,refute_0_5897]) ).

cnf(refute_0_5899,plain,
    bigC(product(a,c),c,product(b,product(a,c))) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,a,b),bigC(a,a,b)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_5876,refute_0_5898]) ).

cnf(refute_0_5900,plain,
    ( bigC(product(a,c),c,product(b,product(a,c))) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(a,b,product(a,b)),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),c,product(b,product(a,c))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_5901,plain,
    product(bigC(a,b,product(a,b)),bigC(a,a,b)) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(b,product(a,c))),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_5899,refute_0_5900]) ).

cnf(refute_0_5902,plain,
    product(bigC(a,b,product(a,b)),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),bigC(a,b,a)))]]) ).

cnf(refute_0_5903,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,product(a,b)),bigC(a,b,a)) != product(bigC(a,b,product(a,b)),bigC(a,b,a))
    | product(bigC(a,b,product(a,b)),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,b,a)),product(bigC(a,b,product(a,b)),bigC(a,b,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_5904,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,product(a,b)),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,b,a)),product(bigC(a,b,product(a,b)),bigC(a,b,a))) )],[refute_0_5902,refute_0_5903]) ).

cnf(refute_0_5905,plain,
    product(bigC(a,b,product(a,b)),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_5904]) ).

cnf(refute_0_5906,plain,
    bigC(c,product(a,b),c) = product(product(c,product(a,b)),c),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(c)),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_5907,plain,
    ( bigC(c,product(a,b),c) != product(product(c,product(a,b)),c)
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,product(a,b),c) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),c),product(product(c,product(a,b)),c)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_5908,plain,
    ( bigC(c,product(a,b),c) != product(product(c,product(a,b)),c)
    | bigC(c,product(a,b),c) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_5907]) ).

cnf(refute_0_5909,plain,
    bigC(c,product(a,b),c) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),product(product(c,product(a,b)),c)) )],[refute_0_5906,refute_0_5908]) ).

cnf(refute_0_5910,plain,
    bigC(c,product(a,b),c) = bigC(c,c,product(a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_5911,plain,
    ( bigC(c,product(a,b),c) != bigC(c,c,product(a,b))
    | bigC(c,product(a,b),c) != product(product(a,product(b,c)),c)
    | bigC(c,c,product(a,b)) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),c),product(product(a,product(b,c)),c)) ),[0],$fot(bigC(c,c,product(a,b)))]]) ).

cnf(refute_0_5912,plain,
    ( bigC(c,product(a,b),c) != product(product(a,product(b,c)),c)
    | bigC(c,c,product(a,b)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(c,c,product(a,b))) )],[refute_0_5910,refute_0_5911]) ).

cnf(refute_0_5913,plain,
    ( bigC(c,c,product(a,b)) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | bigC(c,c,product(a,b)) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) ),[0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_5914,plain,
    ( bigC(c,c,product(a,b)) != product(product(a,product(b,c)),c)
    | bigC(c,c,product(a,b)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_5913]) ).

cnf(refute_0_5915,plain,
    ( bigC(c,product(a,b),c) != product(product(a,product(b,c)),c)
    | bigC(c,c,product(a,b)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),product(product(a,product(b,c)),c)) )],[refute_0_5912,refute_0_5914]) ).

cnf(refute_0_5916,plain,
    bigC(c,c,product(a,b)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),product(product(a,product(b,c)),c)) )],[refute_0_5909,refute_0_5915]) ).

cnf(refute_0_5917,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | bigC(c,product(a,b),c) != bigC(c,c,product(a,b))
    | bigC(c,product(a,b),c) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,b),c))),bind(Y,$fot(bigC(c,c,product(a,b)))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_5918,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | bigC(c,product(a,b),c) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(c,c,product(a,b))) )],[refute_0_5910,refute_0_5917]) ).

cnf(refute_0_5919,plain,
    bigC(c,product(a,b),c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_5916,refute_0_5918]) ).

cnf(refute_0_5920,plain,
    product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(c,product(a,b),c),bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(a,b),c),bigC(a,b,a)))]]) ).

cnf(refute_0_5921,plain,
    ( bigC(c,product(a,b),c) != bigC(a,b,product(a,b))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) != product(bigC(c,product(a,b),c),bigC(a,b,a))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(a,b),c),bigC(a,b,a)),product(bigC(c,product(a,b),c),bigC(a,b,a))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_5922,plain,
    ( bigC(c,product(a,b),c) != bigC(a,b,product(a,b))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),c),bigC(a,b,a)),product(bigC(c,product(a,b),c),bigC(a,b,a))) )],[refute_0_5920,refute_0_5921]) ).

cnf(refute_0_5923,plain,
    product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),c),bigC(a,b,product(a,b))) )],[refute_0_5919,refute_0_5922]) ).

cnf(refute_0_5924,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,b,a)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) != product(bigC(a,b,product(a,b)),bigC(a,b,a))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,product(a,b),c),bigC(a,b,a)))),bind(Y,$fot(product(bigC(a,b,product(a,b)),bigC(a,b,a)))),bind(Z,$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_5925,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,b,a)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),c),bigC(a,b,a)),product(bigC(a,b,product(a,b)),bigC(a,b,a))) )],[refute_0_5923,refute_0_5924]) ).

cnf(refute_0_5926,plain,
    product(bigC(c,product(a,b),c),bigC(a,b,a)) = product(bigC(a,b,product(a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,b,a)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_5905,refute_0_5925]) ).

cnf(refute_0_5927,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) != product(bigC(a,b,product(a,b)),bigC(a,a,b))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,product(a,b),c),bigC(a,b,a)))),bind(Y,$fot(product(bigC(a,b,product(a,b)),bigC(a,a,b)))),bind(Z,$fot(bigC(product(a,c),c,product(b,product(a,c)))))]]) ).

cnf(refute_0_5928,plain,
    ( product(bigC(a,b,product(a,b)),bigC(a,a,b)) != bigC(product(a,c),c,product(b,product(a,c)))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),c),bigC(a,b,a)),product(bigC(a,b,product(a,b)),bigC(a,a,b))) )],[refute_0_5926,refute_0_5927]) ).

cnf(refute_0_5929,plain,
    product(bigC(c,product(a,b),c),bigC(a,b,a)) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(a,a,b)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5901,refute_0_5928]) ).

cnf(refute_0_5930,plain,
    product(bigC(c,a,c),product(product(product(a,b),b),a)) = product(bigC(c,product(a,b),c),bigC(a,b,a)),
    inference(subst,[],[refute_0_283:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_5931,plain,
    bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(bigC(c,a,c),product(product(product(a,b),b),a)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(product(product(a,b),b))),bind(D,$fot(a))]]) ).

cnf(refute_0_5932,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(bigC(c,a,c),product(product(product(a,b),b),a))
    | product(bigC(c,a,c),product(product(product(a,b),b),a)) != product(bigC(c,product(a,b),c),bigC(a,b,a))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(bigC(c,product(a,b),c),bigC(a,b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,a),product(product(a,b),b),product(c,a)))),bind(Y,$fot(product(bigC(c,a,c),product(product(product(a,b),b),a)))),bind(Z,$fot(product(bigC(c,product(a,b),c),bigC(a,b,a))))]]) ).

cnf(refute_0_5933,plain,
    ( product(bigC(c,a,c),product(product(product(a,b),b),a)) != product(bigC(c,product(a,b),c),bigC(a,b,a))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(bigC(c,product(a,b),c),bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),product(bigC(c,a,c),product(product(product(a,b),b),a))) )],[refute_0_5931,refute_0_5932]) ).

cnf(refute_0_5934,plain,
    bigC(product(c,a),product(product(a,b),b),product(c,a)) = product(bigC(c,product(a,b),c),bigC(a,b,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(product(a,b),b),a)),product(bigC(c,product(a,b),c),bigC(a,b,a))) )],[refute_0_5930,refute_0_5933]) ).

cnf(refute_0_5935,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(bigC(c,product(a,b),c),bigC(a,b,a))
    | product(bigC(c,product(a,b),c),bigC(a,b,a)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,a),product(product(a,b),b),product(c,a)))),bind(Y,$fot(product(bigC(c,product(a,b),c),bigC(a,b,a)))),bind(Z,$fot(bigC(product(a,c),c,product(b,product(a,c)))))]]) ).

cnf(refute_0_5936,plain,
    ( product(bigC(c,product(a,b),c),bigC(a,b,a)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) = bigC(product(a,c),c,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),product(bigC(c,product(a,b),c),bigC(a,b,a))) )],[refute_0_5934,refute_0_5935]) ).

cnf(refute_0_5937,plain,
    bigC(product(c,a),product(product(a,b),b),product(c,a)) = bigC(product(a,c),c,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),c),bigC(a,b,a)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5929,refute_0_5936]) ).

cnf(refute_0_5938,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != bigC(product(a,c),c,product(b,product(a,c)))
    | bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(product(a,bigC(b,b,c)),product(c,a))
    | bigC(product(a,c),c,product(b,product(a,c))) = product(product(a,bigC(b,b,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),product(product(a,bigC(b,b,c)),product(c,a))) ),[0],$fot(bigC(product(a,c),c,product(b,product(a,c))))]]) ).

cnf(refute_0_5939,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(product(a,bigC(b,b,c)),product(c,a))
    | bigC(product(a,c),c,product(b,product(a,c))) = product(product(a,bigC(b,b,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),bigC(product(a,c),c,product(b,product(a,c)))) )],[refute_0_5937,refute_0_5938]) ).

cnf(refute_0_5940,plain,
    product(product(a,c),product(bigC(b,b,c),a)) = bigC(a,c,bigC(b,b,c)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_5941,plain,
    product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(C,$fot(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))))]]) ).

cnf(refute_0_5942,plain,
    ( product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))) != product(a,c)
    | product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) != product(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(B,D))
    | product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(B,D))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_5943,plain,
    ( product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) != product(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(B,D))
    | product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(a,c)) )],[refute_0_3779,refute_0_5942]) ).

cnf(refute_0_5944,plain,
    product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,product(product(bigC(c,b,c),c),product(c,product(c,product(c,b))))),product(B,D))) )],[refute_0_5941,refute_0_5943]) ).

cnf(refute_0_5945,plain,
    product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) = product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D))]]) ).

cnf(refute_0_5946,plain,
    ( product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) != c
    | product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) != product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)
    | product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_5947,plain,
    ( product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))) != c
    | product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) )],[refute_0_5945,refute_0_5946]) ).

cnf(refute_0_5948,plain,
    product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) = product(c,D),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),c) )],[refute_0_3792,refute_0_5947]) ).

cnf(refute_0_5949,plain,
    product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),
    introduced(tautology,[refl,[$fot(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)))]]) ).

cnf(refute_0_5950,plain,
    ( product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) != product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D))
    | product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) != product(c,D)
    | product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_5951,plain,
    ( product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D) != product(c,D)
    | product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D))) )],[refute_0_5949,refute_0_5950]) ).

cnf(refute_0_5952,plain,
    product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) = product(product(a,B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D),product(c,D)) )],[refute_0_5948,refute_0_5951]) ).

cnf(refute_0_5953,plain,
    ( product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) != product(product(a,B),product(c,D))
    | product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) != product(product(a,c),product(B,D))
    | product(product(a,B),product(c,D)) = product(product(a,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,c),product(B,D))) ),[0],$fot(product(product(a,B),product(c,D)))]]) ).

cnf(refute_0_5954,plain,
    ( product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)) != product(product(a,c),product(B,D))
    | product(product(a,B),product(c,D)) = product(product(a,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,B),product(c,D))) )],[refute_0_5952,refute_0_5953]) ).

cnf(refute_0_5955,plain,
    product(product(a,B),product(c,D)) = product(product(a,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(product(product(bigC(c,b,c),c),product(c,product(c,product(c,b)))),D)),product(product(a,c),product(B,D))) )],[refute_0_5944,refute_0_5954]) ).

cnf(refute_0_5956,plain,
    product(product(a,bigC(b,b,c)),product(c,a)) = product(product(a,c),product(bigC(b,b,c),a)),
    inference(subst,[],[refute_0_5955:[bind(B,$fot(bigC(b,b,c))),bind(D,$fot(a))]]) ).

cnf(refute_0_5957,plain,
    ( product(product(a,bigC(b,b,c)),product(c,a)) != product(product(a,c),product(bigC(b,b,c),a))
    | product(product(a,c),product(bigC(b,b,c),a)) != bigC(a,c,bigC(b,b,c))
    | product(product(a,bigC(b,b,c)),product(c,a)) = bigC(a,c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(b,b,c)),product(c,a)))),bind(Y,$fot(product(product(a,c),product(bigC(b,b,c),a)))),bind(Z,$fot(bigC(a,c,bigC(b,b,c))))]]) ).

cnf(refute_0_5958,plain,
    ( product(product(a,c),product(bigC(b,b,c),a)) != bigC(a,c,bigC(b,b,c))
    | product(product(a,bigC(b,b,c)),product(c,a)) = bigC(a,c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(c,a)),product(product(a,c),product(bigC(b,b,c),a))) )],[refute_0_5956,refute_0_5957]) ).

cnf(refute_0_5959,plain,
    product(product(a,bigC(b,b,c)),product(c,a)) = bigC(a,c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(b,b,c),a)),bigC(a,c,bigC(b,b,c))) )],[refute_0_5940,refute_0_5958]) ).

cnf(refute_0_5960,plain,
    ( bigC(product(a,c),c,product(b,product(a,c))) != product(product(a,bigC(b,b,c)),product(c,a))
    | product(product(a,bigC(b,b,c)),product(c,a)) != bigC(a,c,bigC(b,b,c))
    | bigC(product(a,c),c,product(b,product(a,c))) = bigC(a,c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),c,product(b,product(a,c))),bigC(a,c,bigC(b,b,c))) ),[0],$fot(product(product(a,bigC(b,b,c)),product(c,a)))]]) ).

cnf(refute_0_5961,plain,
    ( bigC(product(a,c),c,product(b,product(a,c))) != product(product(a,bigC(b,b,c)),product(c,a))
    | bigC(product(a,c),c,product(b,product(a,c))) = bigC(a,c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),product(c,a)),bigC(a,c,bigC(b,b,c))) )],[refute_0_5959,refute_0_5960]) ).

cnf(refute_0_5962,plain,
    ( bigC(product(c,a),product(product(a,b),b),product(c,a)) != product(product(a,bigC(b,b,c)),product(c,a))
    | bigC(product(a,c),c,product(b,product(a,c))) = bigC(a,c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(b,product(a,c))),product(product(a,bigC(b,b,c)),product(c,a))) )],[refute_0_5939,refute_0_5961]) ).

cnf(refute_0_5963,plain,
    bigC(product(a,c),c,product(b,product(a,c))) = bigC(a,c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(a,b),b),product(c,a)),product(product(a,bigC(b,b,c)),product(c,a))) )],[refute_0_5856,refute_0_5962]) ).

cnf(refute_0_5964,plain,
    difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))))]]) ).

cnf(refute_0_5965,plain,
    ( bigC(product(a,c),c,product(b,product(a,c))) != bigC(a,c,bigC(b,b,c))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) != difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c))))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c))))) ),[1,1],$fot(bigC(a,c,bigC(b,b,c)))]]) ).

cnf(refute_0_5966,plain,
    ( bigC(product(a,c),c,product(b,product(a,c))) != bigC(a,c,bigC(b,b,c))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c))))) )],[refute_0_5964,refute_0_5965]) ).

cnf(refute_0_5967,plain,
    difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(b,product(a,c))),bigC(a,c,bigC(b,b,c))) )],[refute_0_5963,refute_0_5966]) ).

cnf(refute_0_5968,plain,
    ( difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) != bigC(a,b,product(b,a))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) != difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c)))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))))),bind(Y,$fot(difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5969,plain,
    ( difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))) != bigC(a,b,product(b,a))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c)))) )],[refute_0_5967,refute_0_5968]) ).

cnf(refute_0_5970,plain,
    difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,c,bigC(b,b,c))),bigC(a,b,product(b,a))) )],[refute_0_5648,refute_0_5969]) ).

cnf(refute_0_5971,plain,
    ( difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) != bigC(a,b,product(b,a))
    | difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) != product(c,product(c,product(c,a)))
    | bigC(a,b,product(b,a)) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),product(c,product(c,product(c,a)))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_5972,plain,
    ( difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))) != product(c,product(c,product(c,a)))
    | bigC(a,b,product(b,a)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),bigC(a,b,product(b,a))) )],[refute_0_5970,refute_0_5971]) ).

cnf(refute_0_5973,plain,
    bigC(a,b,product(b,a)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(product(a,c),c,product(b,product(a,c)))),product(c,product(c,product(c,a)))) )],[refute_0_5556,refute_0_5972]) ).

cnf(refute_0_5974,plain,
    ( bigC(a,b,product(b,a)) != product(c,product(c,product(c,a)))
    | product(c,product(c,product(c,a))) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_5975,plain,
    product(c,product(c,product(c,a))) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(c,product(c,product(c,a)))) )],[refute_0_5973,refute_0_5974]) ).

cnf(refute_0_5976,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,product(c,product(c,a)))
    | product(c,product(c,product(c,a))) != bigC(a,b,product(b,a))
    | difference(product(bigC(a,a,b),c),c) = bigC(a,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(a,a,b),c),c),bigC(a,b,product(b,a))) ),[0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_5977,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,product(c,product(c,a)))
    | difference(product(bigC(a,a,b),c),c) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),bigC(a,b,product(b,a))) )],[refute_0_5975,refute_0_5976]) ).

cnf(refute_0_5978,plain,
    difference(product(bigC(a,a,b),c),c) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),c),product(c,product(c,product(c,a)))) )],[refute_0_5427,refute_0_5977]) ).

cnf(refute_0_5979,plain,
    product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) = product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_5980,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) != product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b)))
    | product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_5981,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b)))) )],[refute_0_5979,refute_0_5980]) ).

cnf(refute_0_5982,plain,
    product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_1542,refute_0_5981]) ).

cnf(refute_0_5983,plain,
    difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c))]]) ).

cnf(refute_0_5984,plain,
    ( difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) != difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c)
    | product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) != product(bigC(a,a,b),c)
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = difference(product(bigC(a,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c)) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_5985,plain,
    ( product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))) != product(bigC(a,a,b),c)
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = difference(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c)) )],[refute_0_5983,refute_0_5984]) ).

cnf(refute_0_5986,plain,
    difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = difference(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),product(bigC(a,a,b),c)) )],[refute_0_5982,refute_0_5985]) ).

cnf(refute_0_5987,plain,
    ( difference(product(bigC(a,a,b),c),c) != bigC(a,b,product(b,a))
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) != difference(product(bigC(a,a,b),c),c)
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c))),bind(Y,$fot(difference(product(bigC(a,a,b),c),c))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_5988,plain,
    ( difference(product(bigC(a,a,b),c),c) != bigC(a,b,product(b,a))
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),difference(product(bigC(a,a,b),c),c)) )],[refute_0_5986,refute_0_5987]) ).

cnf(refute_0_5989,plain,
    difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),c),bigC(a,b,product(b,a))) )],[refute_0_5978,refute_0_5988]) ).

cnf(refute_0_5990,plain,
    ( difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) != bigC(a,b,product(b,a))
    | difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | bigC(a,b,product(b,a)) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_5991,plain,
    ( difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | bigC(a,b,product(b,a)) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),bigC(a,b,product(b,a))) )],[refute_0_5989,refute_0_5990]) ).

cnf(refute_0_5992,plain,
    bigC(a,product(b,a),c) = bigC(a,c,product(b,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_5993,plain,
    product(bigC(a,a,b),product(c,a)) = bigC(a,product(b,a),c),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(b)),bind(X_44,$fot(a)),bind(X_45,$fot(c))]]) ).

cnf(refute_0_5994,plain,
    ( bigC(a,product(b,a),c) != bigC(a,c,product(b,a))
    | product(bigC(a,a,b),product(c,a)) != bigC(a,product(b,a),c)
    | product(bigC(a,a,b),product(c,a)) = bigC(a,c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(c,a)))),bind(Y,$fot(bigC(a,product(b,a),c))),bind(Z,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_5995,plain,
    ( bigC(a,product(b,a),c) != bigC(a,c,product(b,a))
    | product(bigC(a,a,b),product(c,a)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,a)),bigC(a,product(b,a),c)) )],[refute_0_5993,refute_0_5994]) ).

cnf(refute_0_5996,plain,
    product(bigC(a,a,b),product(c,a)) = bigC(a,c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,a),c),bigC(a,c,product(b,a))) )],[refute_0_5992,refute_0_5995]) ).

cnf(refute_0_5997,plain,
    difference(product(c,a),product(bigC(a,a,b),product(c,a))) = difference(product(c,a),product(bigC(a,a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(difference(product(c,a),product(bigC(a,a,b),product(c,a))))]]) ).

cnf(refute_0_5998,plain,
    ( difference(product(c,a),product(bigC(a,a,b),product(c,a))) != difference(product(c,a),product(bigC(a,a,b),product(c,a)))
    | product(bigC(a,a,b),product(c,a)) != bigC(a,c,product(b,a))
    | difference(product(c,a),product(bigC(a,a,b),product(c,a))) = difference(product(c,a),bigC(a,c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(bigC(a,a,b),product(c,a))),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),[1,1],$fot(bigC(a,c,product(b,a)))]]) ).

cnf(refute_0_5999,plain,
    ( product(bigC(a,a,b),product(c,a)) != bigC(a,c,product(b,a))
    | difference(product(c,a),product(bigC(a,a,b),product(c,a))) = difference(product(c,a),bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(bigC(a,a,b),product(c,a))),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) )],[refute_0_5997,refute_0_5998]) ).

cnf(refute_0_6000,plain,
    difference(product(c,a),product(bigC(a,a,b),product(c,a))) = difference(product(c,a),bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,a)),bigC(a,c,product(b,a))) )],[refute_0_5996,refute_0_5999]) ).

cnf(refute_0_6001,plain,
    product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))),
    introduced(tautology,[refl,[$fot(product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))))]]) ).

cnf(refute_0_6002,plain,
    ( difference(product(c,a),product(bigC(a,a,b),product(c,a))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) != product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a))))) ),[1,1],$fot(difference(product(c,a),bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_6003,plain,
    ( difference(product(c,a),product(bigC(a,a,b),product(c,a))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a))))) )],[refute_0_6001,refute_0_6002]) ).

cnf(refute_0_6004,plain,
    product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(bigC(a,a,b),product(c,a))),difference(product(c,a),bigC(a,c,product(b,a)))) )],[refute_0_6000,refute_0_6003]) ).

cnf(refute_0_6005,plain,
    product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),
    introduced(tautology,[refl,[$fot(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))))]]) ).

cnf(refute_0_6006,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6007,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) )],[refute_0_6005,refute_0_6006]) ).

cnf(refute_0_6008,plain,
    product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_1542,refute_0_6007]) ).

cnf(refute_0_6009,plain,
    ( product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) != product(c,difference(product(c,a),bigC(a,c,product(b,a))))
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) != product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))))),bind(Y,$fot(product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))))),bind(Z,$fot(product(c,difference(product(c,a),bigC(a,c,product(b,a))))))]]) ).

cnf(refute_0_6010,plain,
    ( product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))) != product(c,difference(product(c,a),bigC(a,c,product(b,a))))
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a))))) )],[refute_0_6008,refute_0_6009]) ).

cnf(refute_0_6011,plain,
    product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6004,refute_0_6010]) ).

cnf(refute_0_6012,plain,
    ( bigC(a,b,product(b,a)) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))) != product(c,difference(product(c,a),bigC(a,c,product(b,a))))
    | bigC(a,b,product(b,a)) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(b,a)),product(c,difference(product(c,a),bigC(a,c,product(b,a))))) ),[0],$fot(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))))]]) ).

cnf(refute_0_6013,plain,
    ( bigC(a,b,product(b,a)) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | bigC(a,b,product(b,a)) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a)))),product(c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6011,refute_0_6012]) ).

cnf(refute_0_6014,plain,
    ( difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c) != product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))
    | bigC(a,b,product(b,a)) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) )],[refute_0_5991,refute_0_6013]) ).

cnf(refute_0_6015,plain,
    bigC(a,b,product(b,a)) = product(c,difference(product(c,a),bigC(a,c,product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),difference(product(c,a),bigC(a,a,b))),c),product(difference(product(c,a),bigC(a,a,b)),difference(product(c,a),product(bigC(a,a,b),product(c,a))))) )],[refute_0_5135,refute_0_6014]) ).

cnf(refute_0_6016,plain,
    ( bigC(a,b,product(b,a)) != product(c,difference(product(c,a),bigC(a,c,product(b,a))))
    | product(c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(c,difference(product(c,a),bigC(a,c,product(b,a))))))]]) ).

cnf(refute_0_6017,plain,
    product(c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6015,refute_0_6016]) ).

cnf(refute_0_6018,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) != product(difference(product(c,a),bigC(a,c,product(b,a))),product(c,difference(product(c,a),bigC(a,c,product(b,a)))))
    | product(c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(a,b,product(b,a))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c),product(difference(product(c,a),bigC(a,c,product(b,a))),product(c,difference(product(c,a),bigC(a,c,product(b,a)))))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_6019,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) != product(difference(product(c,a),bigC(a,c,product(b,a))),product(c,difference(product(c,a),bigC(a,c,product(b,a)))))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(a,b,product(b,a))) )],[refute_0_6017,refute_0_6018]) ).

cnf(refute_0_6020,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c),product(difference(product(c,a),bigC(a,c,product(b,a))),product(c,difference(product(c,a),bigC(a,c,product(b,a)))))) )],[refute_0_5131,refute_0_6019]) ).

cnf(refute_0_6021,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) = bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(product(c,a),bigC(a,c,product(b,a))))),bind(B,$fot(c)),bind(C,$fot(difference(product(c,a),bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6022,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) != bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a))))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) ),[0],$fot(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6023,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c),bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6021,refute_0_6022]) ).

cnf(refute_0_6024,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a))),c),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) )],[refute_0_6020,refute_0_6023]) ).

cnf(refute_0_6025,plain,
    product(c,product(bigC(a,a,b),product(c,a))) = product(c,product(bigC(a,a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(a,a,b),product(c,a))))]]) ).

cnf(refute_0_6026,plain,
    ( product(bigC(a,a,b),product(c,a)) != bigC(a,c,product(b,a))
    | product(c,product(bigC(a,a,b),product(c,a))) != product(c,product(bigC(a,a,b),product(c,a)))
    | product(c,product(bigC(a,a,b),product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(a,a,b),product(c,a))),product(c,product(bigC(a,a,b),product(c,a)))) ),[1,1],$fot(bigC(a,c,product(b,a)))]]) ).

cnf(refute_0_6027,plain,
    ( product(bigC(a,a,b),product(c,a)) != bigC(a,c,product(b,a))
    | product(c,product(bigC(a,a,b),product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,b),product(c,a))),product(c,product(bigC(a,a,b),product(c,a)))) )],[refute_0_6025,refute_0_6026]) ).

cnf(refute_0_6028,plain,
    product(c,product(bigC(a,a,b),product(c,a))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,a)),bigC(a,c,product(b,a))) )],[refute_0_5996,refute_0_6027]) ).

cnf(refute_0_6029,plain,
    product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(product(c,c),product(bigC(a,a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(bigC(a,a,b),product(c,a))))]]) ).

cnf(refute_0_6030,plain,
    ( product(c,c) != c
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) != product(product(c,c),product(bigC(a,a,b),product(c,a)))
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(c,product(bigC(a,a,b),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(bigC(a,a,b),product(c,a))),product(product(c,c),product(bigC(a,a,b),product(c,a)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6031,plain,
    ( product(c,c) != c
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(c,product(bigC(a,a,b),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(a,a,b),product(c,a))),product(product(c,c),product(bigC(a,a,b),product(c,a)))) )],[refute_0_6029,refute_0_6030]) ).

cnf(refute_0_6032,plain,
    product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(c,product(bigC(a,a,b),product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_6031]) ).

cnf(refute_0_6033,plain,
    ( product(c,product(bigC(a,a,b),product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) != product(c,product(bigC(a,a,b),product(c,a)))
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(bigC(a,a,b),product(c,a))))),bind(Y,$fot(product(c,product(bigC(a,a,b),product(c,a))))),bind(Z,$fot(product(c,bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6034,plain,
    ( product(c,product(bigC(a,a,b),product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(a,a,b),product(c,a))),product(c,product(bigC(a,a,b),product(c,a)))) )],[refute_0_6032,refute_0_6033]) ).

cnf(refute_0_6035,plain,
    product(product(c,c),product(bigC(a,a,b),product(c,a))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,b),product(c,a))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6028,refute_0_6034]) ).

cnf(refute_0_6036,plain,
    product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(difference(product(a,c),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_6037,plain,
    difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),difference(product(a,c),product(a,product(b,c)))) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(a,product(b,c)))),bind(X_32,$fot(product(a,c)))]]) ).

cnf(refute_0_6038,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),difference(product(a,c),product(a,product(b,c)))) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),difference(product(a,c),product(a,product(b,c)))),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_6039,plain,
    ( difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),difference(product(a,c),product(a,product(b,c)))) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),c) )],[refute_0_451,refute_0_6038]) ).

cnf(refute_0_6040,plain,
    difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),difference(product(a,c),product(a,product(b,c)))),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) )],[refute_0_6037,refute_0_6039]) ).

cnf(refute_0_6041,plain,
    difference(product(product(product(a,c),c),c),c) = product(c,product(c,product(a,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(a,c))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_6042,plain,
    ( difference(product(product(product(a,c),c),c),c) != product(c,product(c,product(a,c)))
    | product(product(a,c),c) != product(a,product(b,c))
    | difference(product(product(a,product(b,c)),c),c) = product(c,product(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,c),c),c),c),product(c,product(c,product(a,c)))) ),[0,0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6043,plain,
    ( difference(product(product(product(a,c),c),c),c) != product(c,product(c,product(a,c)))
    | difference(product(product(a,product(b,c)),c),c) = product(c,product(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_6042]) ).

cnf(refute_0_6044,plain,
    difference(product(product(a,product(b,c)),c),c) = product(c,product(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),c),c),c),product(c,product(c,product(a,c)))) )],[refute_0_6041,refute_0_6043]) ).

cnf(refute_0_6045,plain,
    product(c,product(c,product(a,c))) = product(c,product(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(c,product(c,product(a,c))))]]) ).

cnf(refute_0_6046,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(c,product(c,product(a,c))) != product(c,product(c,product(a,c)))
    | product(c,product(c,product(a,c))) = product(c,bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(a,c))),product(c,product(c,product(a,c)))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_6047,plain,
    ( product(c,product(a,c)) != bigC(c,a,c)
    | product(c,product(c,product(a,c))) = product(c,bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,c))),product(c,product(c,product(a,c)))) )],[refute_0_6045,refute_0_6046]) ).

cnf(refute_0_6048,plain,
    product(c,product(c,product(a,c))) = product(c,bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(c,a,c)) )],[refute_0_898,refute_0_6047]) ).

cnf(refute_0_6049,plain,
    ( difference(product(product(a,product(b,c)),c),c) != product(c,product(c,product(a,c)))
    | product(c,product(c,product(a,c))) != product(c,bigC(c,a,c))
    | difference(product(product(a,product(b,c)),c),c) = product(c,bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,product(b,c)),c),c),product(c,bigC(c,a,c))) ),[0],$fot(product(c,product(c,product(a,c))))]]) ).

cnf(refute_0_6050,plain,
    ( difference(product(product(a,product(b,c)),c),c) != product(c,product(c,product(a,c)))
    | difference(product(product(a,product(b,c)),c),c) = product(c,bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(a,c))),product(c,bigC(c,a,c))) )],[refute_0_6048,refute_0_6049]) ).

cnf(refute_0_6051,plain,
    difference(product(product(a,product(b,c)),c),c) = product(c,bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),product(c,product(c,product(a,c)))) )],[refute_0_6044,refute_0_6050]) ).

cnf(refute_0_6052,plain,
    ( difference(product(product(a,product(b,c)),c),c) != product(c,bigC(c,a,c))
    | product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | difference(product(product(a,product(b,c)),c),c) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,product(b,c)),c),c),product(c,bigC(a,a,b))) ),[0],$fot(product(c,bigC(c,a,c)))]]) ).

cnf(refute_0_6053,plain,
    ( difference(product(product(a,product(b,c)),c),c) != product(c,bigC(c,a,c))
    | difference(product(product(a,product(b,c)),c),c) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_4777,refute_0_6052]) ).

cnf(refute_0_6054,plain,
    difference(product(product(a,product(b,c)),c),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),product(c,bigC(c,a,c))) )],[refute_0_6051,refute_0_6053]) ).

cnf(refute_0_6055,plain,
    difference(product(product(a,product(b,c)),c),c) = difference(product(product(a,product(b,c)),c),c),
    introduced(tautology,[refl,[$fot(difference(product(product(a,product(b,c)),c),c))]]) ).

cnf(refute_0_6056,plain,
    ( difference(product(product(a,product(b,c)),c),c) != difference(product(product(a,product(b,c)),c),c)
    | product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | difference(product(product(a,product(b,c)),c),c) = difference(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),difference(product(product(a,product(b,c)),c),c)) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6057,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | difference(product(product(a,product(b,c)),c),c) = difference(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),difference(product(product(a,product(b,c)),c),c)) )],[refute_0_6055,refute_0_6056]) ).

cnf(refute_0_6058,plain,
    difference(product(product(a,product(b,c)),c),c) = difference(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_6057]) ).

cnf(refute_0_6059,plain,
    ( difference(product(product(a,product(b,c)),c),c) != difference(bigC(a,b,product(a,b)),c)
    | difference(product(product(a,product(b,c)),c),c) != product(c,bigC(a,a,b))
    | difference(bigC(a,b,product(a,b)),c) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),product(c,bigC(a,a,b))) ),[0],$fot(difference(bigC(a,b,product(a,b)),c))]]) ).

cnf(refute_0_6060,plain,
    ( difference(product(product(a,product(b,c)),c),c) != product(c,bigC(a,a,b))
    | difference(bigC(a,b,product(a,b)),c) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),difference(bigC(a,b,product(a,b)),c)) )],[refute_0_6058,refute_0_6059]) ).

cnf(refute_0_6061,plain,
    difference(bigC(a,b,product(a,b)),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),c),product(c,bigC(a,a,b))) )],[refute_0_6054,refute_0_6060]) ).

cnf(refute_0_6062,plain,
    product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_6063,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) != product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c))))
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6064,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c))))) )],[refute_0_6062,refute_0_6063]) ).

cnf(refute_0_6065,plain,
    product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),c) )],[refute_0_451,refute_0_6064]) ).

cnf(refute_0_6066,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))))),bind(Y,$fot(product(product(a,product(b,c)),c))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_6067,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),product(product(a,product(b,c)),c)) )],[refute_0_6065,refute_0_6066]) ).

cnf(refute_0_6068,plain,
    product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_6067]) ).

cnf(refute_0_6069,plain,
    difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),
    introduced(tautology,[refl,[$fot(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c))]]) ).

cnf(refute_0_6070,plain,
    ( difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) != difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c)
    | product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) != bigC(a,b,product(a,b))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = difference(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c)) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6071,plain,
    ( product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))) != bigC(a,b,product(a,b))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = difference(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c)) )],[refute_0_6069,refute_0_6070]) ).

cnf(refute_0_6072,plain,
    difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = difference(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),bigC(a,b,product(a,b))) )],[refute_0_6068,refute_0_6071]) ).

cnf(refute_0_6073,plain,
    ( difference(bigC(a,b,product(a,b)),c) != product(c,bigC(a,a,b))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) != difference(bigC(a,b,product(a,b)),c)
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c))),bind(Y,$fot(difference(bigC(a,b,product(a,b)),c))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_6074,plain,
    ( difference(bigC(a,b,product(a,b)),c) != product(c,bigC(a,a,b))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),difference(bigC(a,b,product(a,b)),c)) )],[refute_0_6072,refute_0_6073]) ).

cnf(refute_0_6075,plain,
    difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,product(a,b)),c),product(c,bigC(a,a,b))) )],[refute_0_6061,refute_0_6074]) ).

cnf(refute_0_6076,plain,
    ( difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) != product(c,bigC(a,a,b))
    | difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(c,bigC(a,a,b)) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) ),[0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_6077,plain,
    ( difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(c,bigC(a,a,b)) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),product(c,bigC(a,a,b))) )],[refute_0_6075,refute_0_6076]) ).

cnf(refute_0_6078,plain,
    product(a,product(product(b,c),c)) = product(a,product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_6079,plain,
    ( product(a,product(product(b,c),c)) != product(a,product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(a,product(product(b,c),c)) = product(a,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),c)),product(a,product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_6080,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(a,product(product(b,c),c)) = product(a,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(a,product(product(b,c),c))) )],[refute_0_6078,refute_0_6079]) ).

cnf(refute_0_6081,plain,
    product(a,product(product(b,c),c)) = product(a,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_6080]) ).

cnf(refute_0_6082,plain,
    ( product(a,product(product(b,c),c)) != product(a,product(b,product(a,c)))
    | product(product(a,a),product(product(b,c),c)) != product(a,product(product(b,c),c))
    | product(product(a,a),product(product(b,c),c)) = product(a,product(b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(product(b,c),c)))),bind(Y,$fot(product(a,product(product(b,c),c)))),bind(Z,$fot(product(a,product(b,product(a,c)))))]]) ).

cnf(refute_0_6083,plain,
    ( product(a,product(product(b,c),c)) != product(a,product(b,product(a,c)))
    | product(product(a,a),product(product(b,c),c)) = product(a,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(a,product(product(b,c),c))) )],[refute_0_2691,refute_0_6082]) ).

cnf(refute_0_6084,plain,
    product(product(a,a),product(product(b,c),c)) = product(a,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(a,product(b,product(a,c)))) )],[refute_0_6081,refute_0_6083]) ).

cnf(refute_0_6085,plain,
    ( product(a,product(b,product(a,c))) != product(bigC(a,a,c),c)
    | product(product(a,a),product(product(b,c),c)) != product(a,product(b,product(a,c)))
    | product(product(a,a),product(product(b,c),c)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(product(b,c),c)))),bind(Y,$fot(product(a,product(b,product(a,c))))),bind(Z,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_6086,plain,
    ( product(a,product(b,product(a,c))) != product(bigC(a,a,c),c)
    | product(product(a,a),product(product(b,c),c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(a,product(b,product(a,c)))) )],[refute_0_6084,refute_0_6085]) ).

cnf(refute_0_6087,plain,
    product(product(a,a),product(product(b,c),c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(a,c))),product(bigC(a,a,c),c)) )],[refute_0_2786,refute_0_6086]) ).

cnf(refute_0_6088,plain,
    difference(product(a,c),product(product(a,a),product(product(b,c),c))) = difference(product(a,c),product(product(a,a),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),product(product(a,a),product(product(b,c),c))))]]) ).

cnf(refute_0_6089,plain,
    ( difference(product(a,c),product(product(a,a),product(product(b,c),c))) != difference(product(a,c),product(product(a,a),product(product(b,c),c)))
    | product(product(a,a),product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(product(a,c),product(product(a,a),product(product(b,c),c))) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,a),product(product(b,c),c))),difference(product(a,c),product(product(a,a),product(product(b,c),c)))) ),[1,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_6090,plain,
    ( product(product(a,a),product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(product(a,c),product(product(a,a),product(product(b,c),c))) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,a),product(product(b,c),c))),difference(product(a,c),product(product(a,a),product(product(b,c),c)))) )],[refute_0_6088,refute_0_6089]) ).

cnf(refute_0_6091,plain,
    difference(product(a,c),product(product(a,a),product(product(b,c),c))) = difference(product(a,c),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_6087,refute_0_6090]) ).

cnf(refute_0_6092,plain,
    difference(product(a,c),product(product(a,product(b,c)),product(a,c))) = difference(product(a,c),product(product(a,a),product(product(b,c),c))),
    inference(subst,[],[refute_0_3844:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_6093,plain,
    ( difference(product(a,c),product(product(a,a),product(product(b,c),c))) != difference(product(a,c),product(bigC(a,a,c),c))
    | difference(product(a,c),product(product(a,product(b,c)),product(a,c))) != difference(product(a,c),product(product(a,a),product(product(b,c),c)))
    | difference(product(a,c),product(product(a,product(b,c)),product(a,c))) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,c),product(product(a,product(b,c)),product(a,c))))),bind(Y,$fot(difference(product(a,c),product(product(a,a),product(product(b,c),c))))),bind(Z,$fot(difference(product(a,c),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_6094,plain,
    ( difference(product(a,c),product(product(a,a),product(product(b,c),c))) != difference(product(a,c),product(bigC(a,a,c),c))
    | difference(product(a,c),product(product(a,product(b,c)),product(a,c))) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,product(b,c)),product(a,c))),difference(product(a,c),product(product(a,a),product(product(b,c),c)))) )],[refute_0_6092,refute_0_6093]) ).

cnf(refute_0_6095,plain,
    difference(product(a,c),product(product(a,product(b,c)),product(a,c))) = difference(product(a,c),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,a),product(product(b,c),c))),difference(product(a,c),product(bigC(a,a,c),c))) )],[refute_0_6091,refute_0_6094]) ).

cnf(refute_0_6096,plain,
    product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))))]]) ).

cnf(refute_0_6097,plain,
    ( difference(product(a,c),product(product(a,product(b,c)),product(a,c))) != difference(product(a,c),product(bigC(a,a,c),c))
    | product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) != product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) ),[1,1],$fot(difference(product(a,c),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_6098,plain,
    ( difference(product(a,c),product(product(a,product(b,c)),product(a,c))) != difference(product(a,c),product(bigC(a,a,c),c))
    | product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) )],[refute_0_6096,refute_0_6097]) ).

cnf(refute_0_6099,plain,
    product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,product(b,c)),product(a,c))),difference(product(a,c),product(bigC(a,a,c),c))) )],[refute_0_6095,refute_0_6098]) ).

cnf(refute_0_6100,plain,
    product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))))]]) ).

cnf(refute_0_6101,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6102,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) )],[refute_0_6100,refute_0_6101]) ).

cnf(refute_0_6103,plain,
    product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),c) )],[refute_0_451,refute_0_6102]) ).

cnf(refute_0_6104,plain,
    ( product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) != product(c,difference(product(a,c),product(bigC(a,a,c),c)))
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) != product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))))),bind(Y,$fot(product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))))),bind(Z,$fot(product(c,difference(product(a,c),product(bigC(a,a,c),c)))))]]) ).

cnf(refute_0_6105,plain,
    ( product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) != product(c,difference(product(a,c),product(bigC(a,a,c),c)))
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) )],[refute_0_6103,refute_0_6104]) ).

cnf(refute_0_6106,plain,
    product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) = product(c,difference(product(a,c),product(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(product(c,difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(c,difference(product(a,c),product(bigC(a,a,c),c)))) )],[refute_0_6099,refute_0_6105]) ).

cnf(refute_0_6107,plain,
    ( product(c,bigC(a,a,b)) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))) != product(c,difference(product(a,c),product(bigC(a,a,c),c)))
    | product(c,bigC(a,a,b)) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(a,a,b)),product(c,difference(product(a,c),product(bigC(a,a,c),c)))) ),[0],$fot(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))))]]) ).

cnf(refute_0_6108,plain,
    ( product(c,bigC(a,a,b)) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(c,bigC(a,a,b)) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c)))),product(c,difference(product(a,c),product(bigC(a,a,c),c)))) )],[refute_0_6106,refute_0_6107]) ).

cnf(refute_0_6109,plain,
    ( difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c) != product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))
    | product(c,bigC(a,a,b)) = product(c,difference(product(a,c),product(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,b)),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) )],[refute_0_6077,refute_0_6108]) ).

cnf(refute_0_6110,plain,
    product(c,bigC(a,a,b)) = product(c,difference(product(a,c),product(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),difference(product(a,c),product(a,product(b,c)))),c),product(difference(product(a,c),product(a,product(b,c))),difference(product(a,c),product(product(a,product(b,c)),product(a,c))))) )],[refute_0_6040,refute_0_6109]) ).

cnf(refute_0_6111,plain,
    ( product(c,bigC(a,a,b)) != product(c,difference(product(a,c),product(bigC(a,a,c),c)))
    | product(c,difference(product(a,c),product(bigC(a,a,c),c))) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,a,b)))),bind(Y,$fot(product(c,difference(product(a,c),product(bigC(a,a,c),c)))))]]) ).

cnf(refute_0_6112,plain,
    product(c,difference(product(a,c),product(bigC(a,a,c),c))) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,b)),product(c,difference(product(a,c),product(bigC(a,a,c),c)))) )],[refute_0_6110,refute_0_6111]) ).

cnf(refute_0_6113,plain,
    ( product(c,difference(product(a,c),product(bigC(a,a,c),c))) != product(c,bigC(a,a,b))
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) != product(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(B,D))
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,bigC(a,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(B,D))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_6114,plain,
    ( product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) != product(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(B,D))
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,bigC(a,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(c,bigC(a,a,b))) )],[refute_0_6112,refute_0_6113]) ).

cnf(refute_0_6115,plain,
    product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,bigC(a,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(B,D))) )],[refute_0_6036,refute_0_6114]) ).

cnf(refute_0_6116,plain,
    difference(c,product(c,difference(product(a,c),product(bigC(a,a,c),c)))) = difference(product(a,c),product(bigC(a,a,c),c)),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(difference(product(a,c),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_6117,plain,
    ( difference(c,product(c,difference(product(a,c),product(bigC(a,a,c),c)))) != difference(product(a,c),product(bigC(a,a,c),c))
    | product(c,difference(product(a,c),product(bigC(a,a,c),c))) != product(c,bigC(a,a,b))
    | difference(c,product(c,bigC(a,a,b))) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(product(a,c),product(bigC(a,a,c),c)))),difference(product(a,c),product(bigC(a,a,c),c))) ),[0,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_6118,plain,
    ( difference(c,product(c,difference(product(a,c),product(bigC(a,a,c),c)))) != difference(product(a,c),product(bigC(a,a,c),c))
    | difference(c,product(c,bigC(a,a,b))) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(a,c),product(bigC(a,a,c),c))),product(c,bigC(a,a,b))) )],[refute_0_6112,refute_0_6117]) ).

cnf(refute_0_6119,plain,
    difference(c,product(c,bigC(a,a,b))) = difference(product(a,c),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(product(a,c),product(bigC(a,a,c),c)))),difference(product(a,c),product(bigC(a,a,c),c))) )],[refute_0_6116,refute_0_6118]) ).

cnf(refute_0_6120,plain,
    difference(c,product(c,bigC(a,a,b))) = bigC(a,a,b),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6121,plain,
    ( difference(c,product(c,bigC(a,a,b))) != bigC(a,a,b)
    | difference(c,product(c,bigC(a,a,b))) != difference(product(a,c),product(bigC(a,a,c),c))
    | bigC(a,a,b) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,bigC(a,a,b))),difference(product(a,c),product(bigC(a,a,c),c))) ),[0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6122,plain,
    ( difference(c,product(c,bigC(a,a,b))) != difference(product(a,c),product(bigC(a,a,c),c))
    | bigC(a,a,b) = difference(product(a,c),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_6120,refute_0_6121]) ).

cnf(refute_0_6123,plain,
    bigC(a,a,b) = difference(product(a,c),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(a,a,b))),difference(product(a,c),product(bigC(a,a,c),c))) )],[refute_0_6119,refute_0_6122]) ).

cnf(refute_0_6124,plain,
    ( bigC(a,a,b) != difference(product(a,c),product(bigC(a,a,c),c))
    | difference(product(a,c),product(bigC(a,a,c),c)) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,b))),bind(Y,$fot(difference(product(a,c),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_6125,plain,
    difference(product(a,c),product(bigC(a,a,c),c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,a,b),difference(product(a,c),product(bigC(a,a,c),c))) )],[refute_0_6123,refute_0_6124]) ).

cnf(refute_0_6126,plain,
    product(difference(product(a,c),product(bigC(a,a,c),c)),D) = product(difference(product(a,c),product(bigC(a,a,c),c)),D),
    introduced(tautology,[refl,[$fot(product(difference(product(a,c),product(bigC(a,a,c),c)),D))]]) ).

cnf(refute_0_6127,plain,
    ( difference(product(a,c),product(bigC(a,a,c),c)) != bigC(a,a,b)
    | product(difference(product(a,c),product(bigC(a,a,c),c)),D) != product(difference(product(a,c),product(bigC(a,a,c),c)),D)
    | product(difference(product(a,c),product(bigC(a,a,c),c)),D) = product(bigC(a,a,b),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,c),product(bigC(a,a,c),c)),D),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6128,plain,
    ( difference(product(a,c),product(bigC(a,a,c),c)) != bigC(a,a,b)
    | product(difference(product(a,c),product(bigC(a,a,c),c)),D) = product(bigC(a,a,b),D) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(bigC(a,a,c),c)),D),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) )],[refute_0_6126,refute_0_6127]) ).

cnf(refute_0_6129,plain,
    product(difference(product(a,c),product(bigC(a,a,c),c)),D) = product(bigC(a,a,b),D),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(bigC(a,a,c),c)),bigC(a,a,b)) )],[refute_0_6125,refute_0_6128]) ).

cnf(refute_0_6130,plain,
    product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),
    introduced(tautology,[refl,[$fot(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)))]]) ).

cnf(refute_0_6131,plain,
    ( product(difference(product(a,c),product(bigC(a,a,c),c)),D) != product(bigC(a,a,b),D)
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) != product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D))
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,B),product(bigC(a,a,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D))) ),[1,1],$fot(product(bigC(a,a,b),D))]]) ).

cnf(refute_0_6132,plain,
    ( product(difference(product(a,c),product(bigC(a,a,c),c)),D) != product(bigC(a,a,b),D)
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,B),product(bigC(a,a,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D))) )],[refute_0_6130,refute_0_6131]) ).

cnf(refute_0_6133,plain,
    product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) = product(product(c,B),product(bigC(a,a,b),D)),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(bigC(a,a,c),c)),D),product(bigC(a,a,b),D)) )],[refute_0_6129,refute_0_6132]) ).

cnf(refute_0_6134,plain,
    ( product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) != product(product(c,B),product(bigC(a,a,b),D))
    | product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) != product(product(c,bigC(a,a,b)),product(B,D))
    | product(product(c,B),product(bigC(a,a,b),D)) = product(product(c,bigC(a,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,bigC(a,a,b)),product(B,D))) ),[0],$fot(product(product(c,B),product(bigC(a,a,b),D)))]]) ).

cnf(refute_0_6135,plain,
    ( product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)) != product(product(c,bigC(a,a,b)),product(B,D))
    | product(product(c,B),product(bigC(a,a,b),D)) = product(product(c,bigC(a,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,B),product(bigC(a,a,b),D))) )],[refute_0_6133,refute_0_6134]) ).

cnf(refute_0_6136,plain,
    product(product(c,B),product(bigC(a,a,b),D)) = product(product(c,bigC(a,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(a,c),product(bigC(a,a,c),c)),D)),product(product(c,bigC(a,a,b)),product(B,D))) )],[refute_0_6115,refute_0_6135]) ).

cnf(refute_0_6137,plain,
    ( product(product(c,B),product(bigC(a,a,b),D)) != product(product(c,bigC(a,a,b)),product(B,D))
    | product(product(c,bigC(a,a,b)),product(B,D)) = product(product(c,B),product(bigC(a,a,b),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,B),product(bigC(a,a,b),D)))),bind(Y,$fot(product(product(c,bigC(a,a,b)),product(B,D))))]]) ).

cnf(refute_0_6138,plain,
    product(product(c,bigC(a,a,b)),product(B,D)) = product(product(c,B),product(bigC(a,a,b),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(a,a,b),D)),product(product(c,bigC(a,a,b)),product(B,D))) )],[refute_0_6136,refute_0_6137]) ).

cnf(refute_0_6139,plain,
    product(product(c,bigC(a,a,b)),product(c,product(c,a))) = product(product(c,c),product(bigC(a,a,b),product(c,a))),
    inference(subst,[],[refute_0_6138:[bind(B,$fot(c)),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_6140,plain,
    ( product(product(c,bigC(a,a,b)),product(c,product(c,a))) != product(product(c,c),product(bigC(a,a,b),product(c,a)))
    | product(product(c,c),product(bigC(a,a,b),product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | product(product(c,bigC(a,a,b)),product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(a,a,b)),product(c,product(c,a))))),bind(Y,$fot(product(product(c,c),product(bigC(a,a,b),product(c,a))))),bind(Z,$fot(product(c,bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6141,plain,
    ( product(product(c,c),product(bigC(a,a,b),product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | product(product(c,bigC(a,a,b)),product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(c,product(c,a))),product(product(c,c),product(bigC(a,a,b),product(c,a)))) )],[refute_0_6139,refute_0_6140]) ).

cnf(refute_0_6142,plain,
    product(product(c,bigC(a,a,b)),product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(a,a,b),product(c,a))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6035,refute_0_6141]) ).

cnf(refute_0_6143,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(c,a,c))
    | product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | bigC(c,product(c,a),c) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,a),c))),bind(Y,$fot(product(c,bigC(c,a,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_6144,plain,
    ( product(c,bigC(c,a,c)) != product(c,bigC(a,a,b))
    | bigC(c,product(c,a),c) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(c,a,c))) )],[refute_0_4782,refute_0_6143]) ).

cnf(refute_0_6145,plain,
    bigC(c,product(c,a),c) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,c)),product(c,bigC(a,a,b))) )],[refute_0_4777,refute_0_6144]) ).

cnf(refute_0_6146,plain,
    product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(bigC(c,product(c,a),c),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(c,a),c),product(c,product(c,a))))]]) ).

cnf(refute_0_6147,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(a,a,b))
    | product(bigC(c,product(c,a),c),product(c,product(c,a))) != product(bigC(c,product(c,a),c),product(c,product(c,a)))
    | product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(product(c,bigC(a,a,b)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(c,a),c),product(c,product(c,a))),product(bigC(c,product(c,a),c),product(c,product(c,a)))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_6148,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(a,a,b))
    | product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(product(c,bigC(a,a,b)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(c,product(c,a))),product(bigC(c,product(c,a),c),product(c,product(c,a)))) )],[refute_0_6146,refute_0_6147]) ).

cnf(refute_0_6149,plain,
    product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(product(c,bigC(a,a,b)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(a,a,b))) )],[refute_0_6145,refute_0_6148]) ).

cnf(refute_0_6150,plain,
    ( product(bigC(c,product(c,a),c),product(c,product(c,a))) != product(product(c,bigC(a,a,b)),product(c,product(c,a)))
    | product(product(c,bigC(a,a,b)),product(c,product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,product(c,a),c),product(c,product(c,a))))),bind(Y,$fot(product(product(c,bigC(a,a,b)),product(c,product(c,a))))),bind(Z,$fot(product(c,bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6151,plain,
    ( product(product(c,bigC(a,a,b)),product(c,product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(c,product(c,a))),product(product(c,bigC(a,a,b)),product(c,product(c,a)))) )],[refute_0_6149,refute_0_6150]) ).

cnf(refute_0_6152,plain,
    product(bigC(c,product(c,a),c),product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(c,product(c,a))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6142,refute_0_6151]) ).

cnf(refute_0_6153,plain,
    bigC(product(c,product(c,a)),c,product(c,product(c,a))) = product(bigC(c,product(c,a),c),product(c,product(c,a))),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(c)),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_6154,plain,
    ( bigC(product(c,product(c,a)),c,product(c,product(c,a))) != product(bigC(c,product(c,a),c),product(c,product(c,a)))
    | product(bigC(c,product(c,a),c),product(c,product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | bigC(product(c,product(c,a)),c,product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,product(c,a)),c,product(c,product(c,a))))),bind(Y,$fot(product(bigC(c,product(c,a),c),product(c,product(c,a))))),bind(Z,$fot(product(c,bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6155,plain,
    ( product(bigC(c,product(c,a),c),product(c,product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | bigC(product(c,product(c,a)),c,product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),c,product(c,product(c,a))),product(bigC(c,product(c,a),c),product(c,product(c,a)))) )],[refute_0_6153,refute_0_6154]) ).

cnf(refute_0_6156,plain,
    bigC(product(c,product(c,a)),c,product(c,product(c,a))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,a),c),product(c,product(c,a))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6152,refute_0_6155]) ).

cnf(refute_0_6157,plain,
    difference(c,product(c,difference(product(c,a),bigC(a,c,product(b,a))))) = difference(product(c,a),bigC(a,c,product(b,a))),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(difference(product(c,a),bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6158,plain,
    ( difference(c,product(c,difference(product(c,a),bigC(a,c,product(b,a))))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | product(c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(a,b,product(b,a))
    | difference(c,bigC(a,b,product(b,a))) = difference(product(c,a),bigC(a,c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(product(c,a),bigC(a,c,product(b,a))))),difference(product(c,a),bigC(a,c,product(b,a)))) ),[0,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_6159,plain,
    ( difference(c,product(c,difference(product(c,a),bigC(a,c,product(b,a))))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | difference(c,bigC(a,b,product(b,a))) = difference(product(c,a),bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(a,b,product(b,a))) )],[refute_0_6017,refute_0_6158]) ).

cnf(refute_0_6160,plain,
    difference(c,bigC(a,b,product(b,a))) = difference(product(c,a),bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(product(c,a),bigC(a,c,product(b,a))))),difference(product(c,a),bigC(a,c,product(b,a)))) )],[refute_0_6157,refute_0_6159]) ).

cnf(refute_0_6161,plain,
    difference(c,product(c,product(product(c,b),a))) = product(product(c,b),a),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_6162,plain,
    ( difference(c,product(c,product(product(c,b),a))) != product(product(c,b),a)
    | product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | difference(c,bigC(a,b,product(b,a))) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(product(c,b),a))),product(product(c,b),a)) ),[0,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_6163,plain,
    ( difference(c,product(c,product(product(c,b),a))) != product(product(c,b),a)
    | difference(c,bigC(a,b,product(b,a))) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),bigC(a,b,product(b,a))) )],[refute_0_5078,refute_0_6162]) ).

cnf(refute_0_6164,plain,
    difference(c,bigC(a,b,product(b,a))) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(product(c,b),a))),product(product(c,b),a)) )],[refute_0_6161,refute_0_6163]) ).

cnf(refute_0_6165,plain,
    ( difference(c,bigC(a,b,product(b,a))) != product(product(c,b),a)
    | product(product(c,b),a) != product(c,product(c,a))
    | difference(c,bigC(a,b,product(b,a))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(a,b,product(b,a))),product(c,product(c,a))) ),[0],$fot(product(product(c,b),a))]]) ).

cnf(refute_0_6166,plain,
    ( difference(c,bigC(a,b,product(b,a))) != product(product(c,b),a)
    | difference(c,bigC(a,b,product(b,a))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_6165]) ).

cnf(refute_0_6167,plain,
    difference(c,bigC(a,b,product(b,a))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(b,a))),product(product(c,b),a)) )],[refute_0_6164,refute_0_6166]) ).

cnf(refute_0_6168,plain,
    ( difference(c,bigC(a,b,product(b,a))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | difference(c,bigC(a,b,product(b,a))) != product(c,product(c,a))
    | product(c,product(c,a)) = difference(product(c,a),bigC(a,c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,b,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a)))) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6169,plain,
    ( difference(c,bigC(a,b,product(b,a))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | product(c,product(c,a)) = difference(product(c,a),bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(b,a))),product(c,product(c,a))) )],[refute_0_6167,refute_0_6168]) ).

cnf(refute_0_6170,plain,
    product(c,product(c,a)) = difference(product(c,a),bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a)))) )],[refute_0_6160,refute_0_6169]) ).

cnf(refute_0_6171,plain,
    ( product(c,product(c,a)) != difference(product(c,a),bigC(a,c,product(b,a)))
    | difference(product(c,a),bigC(a,c,product(b,a))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(difference(product(c,a),bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6172,plain,
    difference(product(c,a),bigC(a,c,product(b,a))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),difference(product(c,a),bigC(a,c,product(b,a)))) )],[refute_0_6170,refute_0_6171]) ).

cnf(refute_0_6173,plain,
    bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))),
    introduced(tautology,[refl,[$fot(bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6174,plain,
    ( bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a))))
    | difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a))))) ),[1,2],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6175,plain,
    ( difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6173,refute_0_6174]) ).

cnf(refute_0_6176,plain,
    bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),product(c,product(c,a))) )],[refute_0_6172,refute_0_6175]) ).

cnf(refute_0_6177,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6178,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a))))
    | difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a))))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6179,plain,
    ( difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6177,refute_0_6178]) ).

cnf(refute_0_6180,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),product(c,product(c,a))) )],[refute_0_6172,refute_0_6179]) ).

cnf(refute_0_6181,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a))))
    | bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(product(c,product(c,a)),c,product(c,product(c,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))))),bind(Y,$fot(bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))))),bind(Z,$fot(bigC(product(c,product(c,a)),c,product(c,product(c,a)))))]]) ).

cnf(refute_0_6182,plain,
    ( bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(product(c,product(c,a)),c,product(c,product(c,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a))))) )],[refute_0_6180,refute_0_6181]) ).

cnf(refute_0_6183,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(product(c,product(c,a)),c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(product(c,product(c,a)),c,product(c,product(c,a)))) )],[refute_0_6176,refute_0_6182]) ).

cnf(refute_0_6184,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(product(c,product(c,a)),c,product(c,product(c,a)))
    | bigC(product(c,product(c,a)),c,product(c,product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = product(c,bigC(a,c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))))),bind(Y,$fot(bigC(product(c,product(c,a)),c,product(c,product(c,a))))),bind(Z,$fot(product(c,bigC(a,c,product(b,a)))))]]) ).

cnf(refute_0_6185,plain,
    ( bigC(product(c,product(c,a)),c,product(c,product(c,a))) != product(c,bigC(a,c,product(b,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = product(c,bigC(a,c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),bigC(product(c,product(c,a)),c,product(c,product(c,a)))) )],[refute_0_6183,refute_0_6184]) ).

cnf(refute_0_6186,plain,
    bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,a)),c,product(c,product(c,a))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6156,refute_0_6185]) ).

cnf(refute_0_6187,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != product(c,bigC(a,c,product(b,a)))
    | bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) ),[0],$fot(product(c,bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_6188,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6186,refute_0_6187]) ).

cnf(refute_0_6189,plain,
    ( product(bigC(a,b,b),bigC(a,a,product(c,b))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(product(c,product(c,a)),bigC(a,b,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,b),bigC(a,a,product(c,b))))),bind(Y,$fot(product(product(c,product(c,a)),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_6190,plain,
    product(product(c,product(c,a)),bigC(a,b,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(a,a,product(c,b))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_5130,refute_0_6189]) ).

cnf(refute_0_6191,plain,
    product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),
    introduced(tautology,[refl,[$fot(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_6192,plain,
    ( difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6193,plain,
    ( difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) )],[refute_0_6191,refute_0_6192]) ).

cnf(refute_0_6194,plain,
    product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),product(c,product(c,a))) )],[refute_0_6172,refute_0_6193]) ).

cnf(refute_0_6195,plain,
    ( product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(product(c,product(c,a)),bigC(a,b,product(b,a))) != product(bigC(a,b,b),bigC(a,a,product(c,b)))
    | product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))))),bind(Y,$fot(product(product(c,product(c,a)),bigC(a,b,product(b,a))))),bind(Z,$fot(product(bigC(a,b,b),bigC(a,a,product(c,b)))))]]) ).

cnf(refute_0_6196,plain,
    ( product(product(c,product(c,a)),bigC(a,b,product(b,a))) != product(bigC(a,b,b),bigC(a,a,product(c,b)))
    | product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_6194,refute_0_6195]) ).

cnf(refute_0_6197,plain,
    product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,b,product(b,a))),product(bigC(a,b,b),bigC(a,a,product(c,b)))) )],[refute_0_6190,refute_0_6196]) ).

cnf(refute_0_6198,plain,
    ( product(c,bigC(a,c,product(b,a))) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))) != product(bigC(a,b,b),bigC(a,a,product(c,b)))
    | product(c,bigC(a,c,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(a,c,product(b,a))),product(bigC(a,b,b),bigC(a,a,product(c,b)))) ),[0],$fot(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_6199,plain,
    ( product(c,bigC(a,c,product(b,a))) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a))),product(bigC(a,b,b),bigC(a,a,product(c,b)))) )],[refute_0_6197,refute_0_6198]) ).

cnf(refute_0_6200,plain,
    ( bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))) != product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) )],[refute_0_6188,refute_0_6199]) ).

cnf(refute_0_6201,plain,
    product(c,bigC(a,c,product(b,a))) = product(bigC(a,b,b),bigC(a,a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,c,product(b,a))),c,difference(product(c,a),bigC(a,c,product(b,a)))),product(difference(product(c,a),bigC(a,c,product(b,a))),bigC(a,b,product(b,a)))) )],[refute_0_6024,refute_0_6200]) ).

cnf(refute_0_6202,plain,
    ( product(c,bigC(a,c,product(b,a))) != product(bigC(a,b,b),bigC(a,a,product(c,b)))
    | product(bigC(a,b,b),bigC(a,a,product(c,b))) = product(c,bigC(a,c,product(b,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,c,product(b,a))))),bind(Y,$fot(product(bigC(a,b,b),bigC(a,a,product(c,b)))))]]) ).

cnf(refute_0_6203,plain,
    product(bigC(a,b,b),bigC(a,a,product(c,b))) = product(c,bigC(a,c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(bigC(a,b,b),bigC(a,a,product(c,b)))) )],[refute_0_6201,refute_0_6202]) ).

cnf(refute_0_6204,plain,
    ( product(bigC(a,b,b),bigC(a,a,product(c,b))) != product(c,bigC(a,c,product(b,a)))
    | product(bigC(a,b,b),bigC(a,a,product(c,b))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),bigC(a,a,product(c,b))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) ),[0],$fot(product(c,bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_6205,plain,
    ( product(bigC(a,b,b),bigC(a,a,product(c,b))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(a,a,product(c,b))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6203,refute_0_6204]) ).

cnf(refute_0_6206,plain,
    product(c,bigC(a,c,product(b,a))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(a,a,product(c,b))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_5130,refute_0_6205]) ).

cnf(refute_0_6207,plain,
    product(product(c,a),difference(product(c,a),bigC(a,c,product(b,a)))) = bigC(a,c,product(b,a)),
    inference(subst,[],[sos02:[bind(A,$fot(product(c,a))),bind(B,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_6208,plain,
    ( difference(product(c,a),bigC(a,c,product(b,a))) != product(c,product(c,a))
    | product(product(c,a),difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(a,c,product(b,a))
    | product(product(c,a),product(c,product(c,a))) = bigC(a,c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),difference(product(c,a),bigC(a,c,product(b,a)))),bigC(a,c,product(b,a))) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6209,plain,
    ( product(product(c,a),difference(product(c,a),bigC(a,c,product(b,a)))) != bigC(a,c,product(b,a))
    | product(product(c,a),product(c,product(c,a))) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),product(c,product(c,a))) )],[refute_0_6172,refute_0_6208]) ).

cnf(refute_0_6210,plain,
    product(product(c,a),product(c,product(c,a))) = bigC(a,c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(c,a),bigC(a,c,product(b,a)))),bigC(a,c,product(b,a))) )],[refute_0_6207,refute_0_6209]) ).

cnf(refute_0_6211,plain,
    product(product(c,c),bigC(a,a,c)) = product(product(c,c),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(c,c),bigC(a,a,c)))]]) ).

cnf(refute_0_6212,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(a,a,c)) != product(product(c,c),bigC(a,a,c))
    | product(product(c,c),bigC(a,a,c)) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),bigC(a,a,c)),product(product(c,c),bigC(a,a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6213,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(a,a,c)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(a,a,c)),product(product(c,c),bigC(a,a,c))) )],[refute_0_6211,refute_0_6212]) ).

cnf(refute_0_6214,plain,
    product(product(c,c),bigC(a,a,c)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_6213]) ).

cnf(refute_0_6215,plain,
    product(product(c,a),product(c,product(c,a))) = product(product(c,c),bigC(a,a,c)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(c)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_6216,plain,
    ( product(product(c,a),product(c,product(c,a))) != product(product(c,c),bigC(a,a,c))
    | product(product(c,c),bigC(a,a,c)) != product(c,bigC(a,a,c))
    | product(product(c,a),product(c,product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(c,product(c,a))))),bind(Y,$fot(product(product(c,c),bigC(a,a,c)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_6217,plain,
    ( product(product(c,c),bigC(a,a,c)) != product(c,bigC(a,a,c))
    | product(product(c,a),product(c,product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,product(c,a))),product(product(c,c),bigC(a,a,c))) )],[refute_0_6215,refute_0_6216]) ).

cnf(refute_0_6218,plain,
    product(product(c,a),product(c,product(c,a))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(a,a,c)),product(c,bigC(a,a,c))) )],[refute_0_6214,refute_0_6217]) ).

cnf(refute_0_6219,plain,
    ( product(product(c,a),product(c,product(c,a))) != bigC(a,c,product(b,a))
    | product(product(c,a),product(c,product(c,a))) != product(c,bigC(a,a,c))
    | product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(c,product(c,a))),bigC(a,c,product(b,a))) ),[0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_6220,plain,
    ( product(product(c,a),product(c,product(c,a))) != bigC(a,c,product(b,a))
    | product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,product(c,a))),product(c,bigC(a,a,c))) )],[refute_0_6218,refute_0_6219]) ).

cnf(refute_0_6221,plain,
    product(c,bigC(a,a,c)) = bigC(a,c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,product(c,a))),bigC(a,c,product(b,a))) )],[refute_0_6210,refute_0_6220]) ).

cnf(refute_0_6222,plain,
    ( product(c,bigC(a,a,c)) != bigC(a,c,product(b,a))
    | bigC(a,c,product(b,a)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,a,c)))),bind(Y,$fot(bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_6223,plain,
    bigC(a,c,product(b,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,c)),bigC(a,c,product(b,a))) )],[refute_0_6221,refute_0_6222]) ).

cnf(refute_0_6224,plain,
    product(c,bigC(a,c,product(b,a))) = product(c,bigC(a,c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_6225,plain,
    ( bigC(a,c,product(b,a)) != product(c,bigC(a,a,c))
    | product(c,bigC(a,c,product(b,a))) != product(c,bigC(a,c,product(b,a)))
    | product(c,bigC(a,c,product(b,a))) = product(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(c,bigC(a,c,product(b,a)))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_6226,plain,
    ( bigC(a,c,product(b,a)) != product(c,bigC(a,a,c))
    | product(c,bigC(a,c,product(b,a))) = product(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(c,bigC(a,c,product(b,a)))) )],[refute_0_6224,refute_0_6225]) ).

cnf(refute_0_6227,plain,
    product(c,bigC(a,c,product(b,a))) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(b,a)),product(c,bigC(a,a,c))) )],[refute_0_6223,refute_0_6226]) ).

cnf(refute_0_6228,plain,
    ( product(c,bigC(a,c,product(b,a))) != product(c,product(c,bigC(a,a,c)))
    | product(c,bigC(a,c,product(b,a))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(c,product(c,bigC(a,a,c))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) ),[0],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_6229,plain,
    ( product(c,bigC(a,c,product(b,a))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(c,product(c,bigC(a,a,c))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(c,product(c,bigC(a,a,c)))) )],[refute_0_6227,refute_0_6228]) ).

cnf(refute_0_6230,plain,
    product(c,product(c,bigC(a,a,c))) = product(product(c,product(c,a)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,c,product(b,a))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_6206,refute_0_6229]) ).

cnf(refute_0_6231,plain,
    ( bigC(c,c,product(product(b,c),a)) != product(product(b,product(a,product(a,c))),c)
    | product(product(b,product(a,product(a,c))),c) = bigC(c,c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,c,product(product(b,c),a)))),bind(Y,$fot(product(product(b,product(a,product(a,c))),c)))]]) ).

cnf(refute_0_6232,plain,
    product(product(b,product(a,product(a,c))),c) = bigC(c,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,c),a)),product(product(b,product(a,product(a,c))),c)) )],[refute_0_5041,refute_0_6231]) ).

cnf(refute_0_6233,plain,
    bigC(product(b,a),c,product(b,a)) = product(product(product(b,a),c),product(b,a)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(b,a))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_6234,plain,
    ( bigC(product(b,a),c,product(b,a)) != product(product(product(b,a),c),product(b,a))
    | product(product(b,a),c) != product(c,product(c,a))
    | bigC(product(b,a),c,product(b,a)) = product(product(c,product(c,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),c,product(b,a)),product(product(product(b,a),c),product(b,a))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6235,plain,
    ( bigC(product(b,a),c,product(b,a)) != product(product(product(b,a),c),product(b,a))
    | bigC(product(b,a),c,product(b,a)) = product(product(c,product(c,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_6234]) ).

cnf(refute_0_6236,plain,
    bigC(product(b,a),c,product(b,a)) = product(product(c,product(c,a)),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(b,a)),product(product(product(b,a),c),product(b,a))) )],[refute_0_6233,refute_0_6235]) ).

cnf(refute_0_6237,plain,
    bigC(product(b,a),c,product(b,a)) = product(bigC(b,a,b),product(c,a)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_6238,plain,
    ( bigC(product(b,a),c,product(b,a)) != product(bigC(b,a,b),product(c,a))
    | bigC(product(b,a),c,product(b,a)) != product(product(c,product(c,a)),product(b,a))
    | product(bigC(b,a,b),product(c,a)) = product(product(c,product(c,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),c,product(b,a)),product(product(c,product(c,a)),product(b,a))) ),[0],$fot(product(bigC(b,a,b),product(c,a)))]]) ).

cnf(refute_0_6239,plain,
    ( bigC(product(b,a),c,product(b,a)) != product(product(c,product(c,a)),product(b,a))
    | product(bigC(b,a,b),product(c,a)) = product(product(c,product(c,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(b,a)),product(bigC(b,a,b),product(c,a))) )],[refute_0_6237,refute_0_6238]) ).

cnf(refute_0_6240,plain,
    product(product(c,product(c,a)),product(b,a)) = product(product(c,b),product(product(c,a),a)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(c,a))),bind(D,$fot(a))]]) ).

cnf(refute_0_6241,plain,
    ( product(bigC(b,a,b),product(c,a)) != product(product(c,product(c,a)),product(b,a))
    | product(product(c,product(c,a)),product(b,a)) != product(product(c,b),product(product(c,a),a))
    | product(bigC(b,a,b),product(c,a)) = product(product(c,b),product(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,a,b),product(c,a)),product(product(c,b),product(product(c,a),a))) ),[0],$fot(product(product(c,product(c,a)),product(b,a)))]]) ).

cnf(refute_0_6242,plain,
    ( product(bigC(b,a,b),product(c,a)) != product(product(c,product(c,a)),product(b,a))
    | product(bigC(b,a,b),product(c,a)) = product(product(c,b),product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(b,a)),product(product(c,b),product(product(c,a),a))) )],[refute_0_6240,refute_0_6241]) ).

cnf(refute_0_6243,plain,
    ( bigC(product(b,a),c,product(b,a)) != product(product(c,product(c,a)),product(b,a))
    | product(bigC(b,a,b),product(c,a)) = product(product(c,b),product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,a)),product(product(c,product(c,a)),product(b,a))) )],[refute_0_6239,refute_0_6242]) ).

cnf(refute_0_6244,plain,
    product(bigC(b,a,b),product(c,a)) = product(product(c,b),product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),c,product(b,a)),product(product(c,product(c,a)),product(b,a))) )],[refute_0_6236,refute_0_6243]) ).

cnf(refute_0_6245,plain,
    product(bigC(b,a,b),product(c,a)) = product(bigC(b,a,b),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(c,a)))]]) ).

cnf(refute_0_6246,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(c,a)) != product(bigC(b,a,b),product(c,a))
    | product(bigC(b,a,b),product(c,a)) = product(bigC(a,b,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(c,a)),product(bigC(b,a,b),product(c,a))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_6247,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(c,a)) = product(bigC(a,b,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,a)),product(bigC(b,a,b),product(c,a))) )],[refute_0_6245,refute_0_6246]) ).

cnf(refute_0_6248,plain,
    product(bigC(b,a,b),product(c,a)) = product(bigC(a,b,b),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_6247]) ).

cnf(refute_0_6249,plain,
    ( product(bigC(b,a,b),product(c,a)) != product(bigC(a,b,b),product(c,a))
    | product(bigC(b,a,b),product(c,a)) != product(product(c,b),product(product(c,a),a))
    | product(bigC(a,b,b),product(c,a)) = product(product(c,b),product(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(c,a)),product(product(c,b),product(product(c,a),a))) ),[0],$fot(product(bigC(a,b,b),product(c,a)))]]) ).

cnf(refute_0_6250,plain,
    ( product(bigC(b,a,b),product(c,a)) != product(product(c,b),product(product(c,a),a))
    | product(bigC(a,b,b),product(c,a)) = product(product(c,b),product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,a)),product(bigC(a,b,b),product(c,a))) )],[refute_0_6248,refute_0_6249]) ).

cnf(refute_0_6251,plain,
    product(bigC(a,b,b),product(c,a)) = product(product(c,b),product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,a)),product(product(c,b),product(product(c,a),a))) )],[refute_0_6244,refute_0_6250]) ).

cnf(refute_0_6252,plain,
    bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(difference(difference(c,product(b,c)),product(b,a)),X_22),product(b,a)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(b,a))),bind(X_23,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_6253,plain,
    ( bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(difference(difference(c,product(b,c)),product(b,a)),X_22),product(b,a))
    | difference(difference(c,product(b,c)),product(b,a)) != c
    | bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(c,X_22),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))),product(product(difference(difference(c,product(b,c)),product(b,a)),X_22),product(b,a))) ),[1,0,0],$fot(c)]]) ).

cnf(refute_0_6254,plain,
    ( bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(difference(difference(c,product(b,c)),product(b,a)),X_22),product(b,a))
    | bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(c,X_22),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,a)),c) )],[refute_0_4194,refute_0_6253]) ).

cnf(refute_0_6255,plain,
    bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(c,X_22),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))),product(product(difference(difference(c,product(b,c)),product(b,a)),X_22),product(b,a))) )],[refute_0_6252,refute_0_6254]) ).

cnf(refute_0_6256,plain,
    product(difference(difference(c,product(b,c)),product(b,a)),b) = product(difference(difference(c,product(b,c)),product(b,a)),b),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(b,c)),product(b,a)),b))]]) ).

cnf(refute_0_6257,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | product(difference(difference(c,product(b,c)),product(b,a)),b) != product(difference(difference(c,product(b,c)),product(b,a)),b)
    | product(difference(difference(c,product(b,c)),product(b,a)),b) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(b,a)),b),product(difference(difference(c,product(b,c)),product(b,a)),b)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6258,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | product(difference(difference(c,product(b,c)),product(b,a)),b) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(b,a)),b),product(difference(difference(c,product(b,c)),product(b,a)),b)) )],[refute_0_6256,refute_0_6257]) ).

cnf(refute_0_6259,plain,
    product(difference(difference(c,product(b,c)),product(b,a)),b) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,a)),c) )],[refute_0_4194,refute_0_6258]) ).

cnf(refute_0_6260,plain,
    product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) = product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)),
    introduced(tautology,[refl,[$fot(product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)))]]) ).

cnf(refute_0_6261,plain,
    ( product(difference(difference(c,product(b,c)),product(b,a)),b) != product(c,b)
    | product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) != product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a))
    | product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) = product(product(c,b),product(X_22,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)),product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_6262,plain,
    ( product(difference(difference(c,product(b,c)),product(b,a)),b) != product(c,b)
    | product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) = product(product(c,b),product(X_22,a)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)),product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a))) )],[refute_0_6260,refute_0_6261]) ).

cnf(refute_0_6263,plain,
    product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) = product(product(c,b),product(X_22,a)),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(b,c)),product(b,a)),b),product(c,b)) )],[refute_0_6259,refute_0_6262]) ).

cnf(refute_0_6264,plain,
    bigC(difference(X_23,product(X_65,X_66)),X_22,X_23) = product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(X_65,X_66)))]]) ).

cnf(refute_0_6265,plain,
    product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66)) = product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(difference(X_23,product(X_65,X_66)))),bind(B,$fot(X_22)),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_6266,plain,
    ( bigC(difference(X_23,product(X_65,X_66)),X_22,X_23) != product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66))
    | product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66)) != product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66))
    | bigC(difference(X_23,product(X_65,X_66)),X_22,X_23) = product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(X_23,product(X_65,X_66)),X_22,X_23),product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66))) ),[0],$fot(product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66)))]]) ).

cnf(refute_0_6267,plain,
    ( bigC(difference(X_23,product(X_65,X_66)),X_22,X_23) != product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66))
    | bigC(difference(X_23,product(X_65,X_66)),X_22,X_23) = product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66)),product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66))) )],[refute_0_6265,refute_0_6266]) ).

cnf(refute_0_6268,plain,
    bigC(difference(X_23,product(X_65,X_66)),X_22,X_23) = product(product(difference(X_23,product(X_65,X_66)),X_65),product(X_22,X_66)),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,product(X_65,X_66)),X_22,X_23),product(product(difference(X_23,product(X_65,X_66)),X_22),product(X_65,X_66))) )],[refute_0_6264,refute_0_6267]) ).

cnf(refute_0_6269,plain,
    bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)),
    inference(subst,[],[refute_0_6268:[bind(X_23,$fot(difference(c,product(b,c)))),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_6270,plain,
    ( bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a))
    | product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) != product(product(c,b),product(X_22,a))
    | bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(c,b),product(X_22,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))))),bind(Y,$fot(product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)))),bind(Z,$fot(product(product(c,b),product(X_22,a))))]]) ).

cnf(refute_0_6271,plain,
    ( product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)) != product(product(c,b),product(X_22,a))
    | bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(c,b),product(X_22,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))),product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a))) )],[refute_0_6269,refute_0_6270]) ).

cnf(refute_0_6272,plain,
    bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) = product(product(c,b),product(X_22,a)),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(c,product(b,c)),product(b,a)),b),product(X_22,a)),product(product(c,b),product(X_22,a))) )],[refute_0_6263,refute_0_6271]) ).

cnf(refute_0_6273,plain,
    ( bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(c,X_22),product(b,a))
    | bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(c,b),product(X_22,a))
    | product(product(c,b),product(X_22,a)) = product(product(c,X_22),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))),product(product(c,X_22),product(b,a))) ),[0],$fot(product(product(c,b),product(X_22,a)))]]) ).

cnf(refute_0_6274,plain,
    ( bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(c,X_22),product(b,a))
    | product(product(c,b),product(X_22,a)) = product(product(c,X_22),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))),product(product(c,b),product(X_22,a))) )],[refute_0_6272,refute_0_6273]) ).

cnf(refute_0_6275,plain,
    bigC(c,X_22,quotient(product(b,a),c)) = product(product(c,X_22),product(b,a)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(b,a))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_6276,plain,
    ( bigC(c,X_22,quotient(product(b,a),c)) != product(product(c,X_22),product(b,a))
    | quotient(product(b,a),c) != difference(c,product(b,c))
    | bigC(c,X_22,difference(c,product(b,c))) = product(product(c,X_22),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,quotient(product(b,a),c)),product(product(c,X_22),product(b,a))) ),[0,2],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_6277,plain,
    ( bigC(c,X_22,quotient(product(b,a),c)) != product(product(c,X_22),product(b,a))
    | bigC(c,X_22,difference(c,product(b,c))) = product(product(c,X_22),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),difference(c,product(b,c))) )],[refute_0_4191,refute_0_6276]) ).

cnf(refute_0_6278,plain,
    bigC(c,X_22,difference(c,product(b,c))) = product(product(c,X_22),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,quotient(product(b,a),c)),product(product(c,X_22),product(b,a))) )],[refute_0_6275,refute_0_6277]) ).

cnf(refute_0_6279,plain,
    product(product(b,c),product(X_22,c)) = product(product(b,X_22),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(b)),bind(X_64,$fot(X_22)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_6280,plain,
    bigC(c,X_22,difference(c,product(b,c))) = product(product(b,c),product(X_22,c)),
    inference(subst,[],[refute_0_777:[bind(B,$fot(product(b,c))),bind(X_21,$fot(c)),bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_6281,plain,
    ( bigC(c,X_22,difference(c,product(b,c))) != product(product(b,c),product(X_22,c))
    | product(product(b,c),product(X_22,c)) != product(product(b,X_22),c)
    | bigC(c,X_22,difference(c,product(b,c))) = product(product(b,X_22),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,X_22,difference(c,product(b,c))))),bind(Y,$fot(product(product(b,c),product(X_22,c)))),bind(Z,$fot(product(product(b,X_22),c)))]]) ).

cnf(refute_0_6282,plain,
    ( product(product(b,c),product(X_22,c)) != product(product(b,X_22),c)
    | bigC(c,X_22,difference(c,product(b,c))) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(b,c))),product(product(b,c),product(X_22,c))) )],[refute_0_6280,refute_0_6281]) ).

cnf(refute_0_6283,plain,
    bigC(c,X_22,difference(c,product(b,c))) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(X_22,c)),product(product(b,X_22),c)) )],[refute_0_6279,refute_0_6282]) ).

cnf(refute_0_6284,plain,
    ( bigC(c,X_22,difference(c,product(b,c))) != product(product(b,X_22),c)
    | bigC(c,X_22,difference(c,product(b,c))) != product(product(c,X_22),product(b,a))
    | product(product(b,X_22),c) = product(product(c,X_22),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,difference(c,product(b,c))),product(product(c,X_22),product(b,a))) ),[0],$fot(product(product(b,X_22),c))]]) ).

cnf(refute_0_6285,plain,
    ( bigC(c,X_22,difference(c,product(b,c))) != product(product(c,X_22),product(b,a))
    | product(product(b,X_22),c) = product(product(c,X_22),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(b,c))),product(product(b,X_22),c)) )],[refute_0_6283,refute_0_6284]) ).

cnf(refute_0_6286,plain,
    product(product(b,X_22),c) = product(product(c,X_22),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(b,c))),product(product(c,X_22),product(b,a))) )],[refute_0_6278,refute_0_6285]) ).

cnf(refute_0_6287,plain,
    ( product(product(b,X_22),c) != product(product(c,X_22),product(b,a))
    | product(product(c,X_22),product(b,a)) = product(product(b,X_22),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(b,X_22),c))),bind(Y,$fot(product(product(c,X_22),product(b,a))))]]) ).

cnf(refute_0_6288,plain,
    product(product(c,X_22),product(b,a)) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),c),product(product(c,X_22),product(b,a))) )],[refute_0_6286,refute_0_6287]) ).

cnf(refute_0_6289,plain,
    ( product(product(c,X_22),product(b,a)) != product(product(b,X_22),c)
    | product(product(c,b),product(X_22,a)) != product(product(c,X_22),product(b,a))
    | product(product(c,b),product(X_22,a)) = product(product(b,X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(X_22,a)),product(product(c,X_22),product(b,a))) ),[1],$fot(product(product(b,X_22),c))]]) ).

cnf(refute_0_6290,plain,
    ( product(product(c,b),product(X_22,a)) != product(product(c,X_22),product(b,a))
    | product(product(c,b),product(X_22,a)) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),product(b,a)),product(product(b,X_22),c)) )],[refute_0_6288,refute_0_6289]) ).

cnf(refute_0_6291,plain,
    ( bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))) != product(product(c,X_22),product(b,a))
    | product(product(c,b),product(X_22,a)) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_22,a)),product(product(c,X_22),product(b,a))) )],[refute_0_6274,refute_0_6290]) ).

cnf(refute_0_6292,plain,
    product(product(c,b),product(X_22,a)) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(b,c)),product(b,a)),X_22,difference(c,product(b,c))),product(product(c,X_22),product(b,a))) )],[refute_0_6255,refute_0_6291]) ).

cnf(refute_0_6293,plain,
    product(product(c,b),product(product(c,a),a)) = product(product(b,product(c,a)),c),
    inference(subst,[],[refute_0_6292:[bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_6294,plain,
    ( product(bigC(a,b,b),product(c,a)) != product(product(c,b),product(product(c,a),a))
    | product(product(c,b),product(product(c,a),a)) != product(product(b,product(c,a)),c)
    | product(bigC(a,b,b),product(c,a)) = product(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),product(c,a)),product(product(b,product(c,a)),c)) ),[0],$fot(product(product(c,b),product(product(c,a),a)))]]) ).

cnf(refute_0_6295,plain,
    ( product(bigC(a,b,b),product(c,a)) != product(product(c,b),product(product(c,a),a))
    | product(bigC(a,b,b),product(c,a)) = product(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,a),a)),product(product(b,product(c,a)),c)) )],[refute_0_6293,refute_0_6294]) ).

cnf(refute_0_6296,plain,
    product(bigC(a,b,b),product(c,a)) = product(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,a)),product(product(c,b),product(product(c,a),a))) )],[refute_0_6251,refute_0_6295]) ).

cnf(refute_0_6297,plain,
    ( product(bigC(a,b,b),product(c,a)) != product(product(b,product(c,a)),c)
    | product(product(b,product(c,a)),c) != product(b,product(a,product(a,c)))
    | product(bigC(a,b,b),product(c,a)) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),product(c,a)),product(b,product(a,product(a,c)))) ),[0],$fot(product(product(b,product(c,a)),c))]]) ).

cnf(refute_0_6298,plain,
    ( product(bigC(a,b,b),product(c,a)) != product(product(b,product(c,a)),c)
    | product(bigC(a,b,b),product(c,a)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),c),product(b,product(a,product(a,c)))) )],[refute_0_3913,refute_0_6297]) ).

cnf(refute_0_6299,plain,
    product(bigC(a,b,b),product(c,a)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,a)),product(product(b,product(c,a)),c)) )],[refute_0_6296,refute_0_6298]) ).

cnf(refute_0_6300,plain,
    product(product(bigC(a,b,b),product(c,a)),c) = product(product(bigC(a,b,b),product(c,a)),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,b),product(c,a)),c))]]) ).

cnf(refute_0_6301,plain,
    ( product(bigC(a,b,b),product(c,a)) != product(b,product(a,product(a,c)))
    | product(product(bigC(a,b,b),product(c,a)),c) != product(product(bigC(a,b,b),product(c,a)),c)
    | product(product(bigC(a,b,b),product(c,a)),c) = product(product(b,product(a,product(a,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),product(c,a)),c),product(product(bigC(a,b,b),product(c,a)),c)) ),[1,0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_6302,plain,
    ( product(bigC(a,b,b),product(c,a)) != product(b,product(a,product(a,c)))
    | product(product(bigC(a,b,b),product(c,a)),c) = product(product(b,product(a,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(c,a)),c),product(product(bigC(a,b,b),product(c,a)),c)) )],[refute_0_6300,refute_0_6301]) ).

cnf(refute_0_6303,plain,
    product(product(bigC(a,b,b),product(c,a)),c) = product(product(b,product(a,product(a,c))),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,a)),product(b,product(a,product(a,c)))) )],[refute_0_6299,refute_0_6302]) ).

cnf(refute_0_6304,plain,
    ( product(product(b,product(a,product(a,c))),c) != bigC(c,c,product(product(b,c),a))
    | product(product(bigC(a,b,b),product(c,a)),c) != product(product(b,product(a,product(a,c))),c)
    | product(product(bigC(a,b,b),product(c,a)),c) = bigC(c,c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),product(c,a)),c))),bind(Y,$fot(product(product(b,product(a,product(a,c))),c))),bind(Z,$fot(bigC(c,c,product(product(b,c),a))))]]) ).

cnf(refute_0_6305,plain,
    ( product(product(b,product(a,product(a,c))),c) != bigC(c,c,product(product(b,c),a))
    | product(product(bigC(a,b,b),product(c,a)),c) = bigC(c,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(c,a)),c),product(product(b,product(a,product(a,c))),c)) )],[refute_0_6303,refute_0_6304]) ).

cnf(refute_0_6306,plain,
    product(product(bigC(a,b,b),product(c,a)),c) = bigC(c,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(a,c))),c),bigC(c,c,product(product(b,c),a))) )],[refute_0_6232,refute_0_6305]) ).

cnf(refute_0_6307,plain,
    bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22),bigC(a,b,product(b,a))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,b,product(b,a)))),bind(X_23,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_6308,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(difference(product(b,product(a,c)),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_6309,plain,
    difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(difference(product(b,product(a,c)),product(c,product(c,a))),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(c,product(c,a)))),bind(X_32,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_6310,plain,
    difference(quotient(product(c,product(c,a)),bigC(a,a,b)),product(c,product(c,a))) = bigC(a,a,b),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(bigC(a,a,b))),bind(X_9,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_6311,plain,
    quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(c,product(c,b)))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,a,b))),bind(X_29,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_6312,plain,
    difference(bigC(a,a,b),difference(product(c,bigC(a,a,b)),bigC(a,a,b))) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(bigC(a,a,b))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_6313,plain,
    difference(product(c,bigC(a,a,b)),bigC(c,bigC(a,a,b),bigC(a,a,c))) = product(bigC(a,a,c),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(bigC(a,a,b))),bind(X_23,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_6314,plain,
    product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))) = bigC(a,a,b),
    inference(subst,[],[sos07:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6315,plain,
    product(bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(b,a,b)))]]) ).

cnf(refute_0_6316,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(a,a,b),bigC(b,a,b)) != product(bigC(a,a,b),bigC(b,a,b))
    | product(bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),product(bigC(a,a,b),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_6317,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),product(bigC(a,a,b),bigC(b,a,b))) )],[refute_0_6315,refute_0_6316]) ).

cnf(refute_0_6318,plain,
    product(bigC(a,a,b),bigC(b,a,b)) = product(bigC(a,a,b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_6317]) ).

cnf(refute_0_6319,plain,
    ( product(bigC(a,a,b),bigC(b,a,b)) != bigC(a,b,product(a,b))
    | product(bigC(a,a,b),bigC(b,a,b)) != product(bigC(a,a,b),bigC(a,b,b))
    | product(bigC(a,a,b),bigC(a,b,b)) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,b,product(a,b))) ),[0],$fot(product(bigC(a,a,b),bigC(a,b,b)))]]) ).

cnf(refute_0_6320,plain,
    ( product(bigC(a,a,b),bigC(b,a,b)) != bigC(a,b,product(a,b))
    | product(bigC(a,a,b),bigC(a,b,b)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),product(bigC(a,a,b),bigC(a,b,b))) )],[refute_0_6318,refute_0_6319]) ).

cnf(refute_0_6321,plain,
    product(bigC(a,a,b),bigC(a,b,b)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,b,product(a,b))) )],[refute_0_5873,refute_0_6320]) ).

cnf(refute_0_6322,plain,
    ( product(bigC(a,a,b),bigC(a,b,b)) != bigC(a,b,product(a,b))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))) != bigC(a,a,b)
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))),bigC(a,a,b)) ),[0,1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6323,plain,
    ( product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))) != bigC(a,a,b)
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,b)),bigC(a,b,product(a,b))) )],[refute_0_6321,refute_0_6322]) ).

cnf(refute_0_6324,plain,
    product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))),bigC(a,a,b)) )],[refute_0_6314,refute_0_6323]) ).

cnf(refute_0_6325,plain,
    product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c)) = bigC(c,bigC(a,a,b),bigC(a,a,c)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_6326,plain,
    product(product(X_63,X_64),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(product(product(product(c,b),a),product(a,c)))),bind(D,$fot(product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_6327,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,b),a))),bind(X_16,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_6328,plain,
    ( product(product(product(c,b),a),product(product(a,c),c)) != quotient(product(a,c),product(a,product(c,b)))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c))) ),[1,0],$fot(quotient(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_6329,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),quotient(product(a,c),product(a,product(c,b)))) )],[refute_0_5437,refute_0_6328]) ).

cnf(refute_0_6330,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c))) )],[refute_0_6327,refute_0_6329]) ).

cnf(refute_0_6331,plain,
    product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(product(a,c))),bind(C,$fot(product(product(a,c),c))),bind(D,$fot(c))]]) ).

cnf(refute_0_6332,plain,
    ( product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))))),bind(Y,$fot(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)))),bind(Z,$fot(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_6333,plain,
    ( product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c))) )],[refute_0_6327,refute_0_6332]) ).

cnf(refute_0_6334,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) = product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) )],[refute_0_6331,refute_0_6333]) ).

cnf(refute_0_6335,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) != product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))),product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) ),[0],$fot(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_6336,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))) != product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) )],[refute_0_6334,refute_0_6335]) ).

cnf(refute_0_6337,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),a)))),product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) )],[refute_0_6330,refute_0_6336]) ).

cnf(refute_0_6338,plain,
    product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)))]]) ).

cnf(refute_0_6339,plain,
    ( product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) != product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))
    | quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) ),[1,0],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_6340,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) )],[refute_0_6338,refute_0_6339]) ).

cnf(refute_0_6341,plain,
    product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_6340]) ).

cnf(refute_0_6342,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))
    | product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) != product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) ),[0],$fot(product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)))]]) ).

cnf(refute_0_6343,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) )],[refute_0_6341,refute_0_6342]) ).

cnf(refute_0_6344,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) )],[refute_0_6337,refute_0_6343]) ).

cnf(refute_0_6345,plain,
    ( product(product(X_63,X_64),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) ),[0,1],$fot(product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6346,plain,
    ( product(product(X_63,X_64),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) )],[refute_0_6344,refute_0_6345]) ).

cnf(refute_0_6347,plain,
    product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) )],[refute_0_6326,refute_0_6346]) ).

cnf(refute_0_6348,plain,
    product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6349,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) ),[1,0],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_6350,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) )],[refute_0_6348,refute_0_6349]) ).

cnf(refute_0_6351,plain,
    product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2589,refute_0_6350]) ).

cnf(refute_0_6352,plain,
    product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))))]]) ).

cnf(refute_0_6353,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) != product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))
    | product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))),product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))) ),[1,1],$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6354,plain,
    ( product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))),product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))) )],[refute_0_6352,refute_0_6353]) ).

cnf(refute_0_6355,plain,
    product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6351,refute_0_6354]) ).

cnf(refute_0_6356,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) != product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) ),[0],$fot(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))))]]) ).

cnf(refute_0_6357,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))),product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))) )],[refute_0_6355,refute_0_6356]) ).

cnf(refute_0_6358,plain,
    product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) )],[refute_0_6347,refute_0_6357]) ).

cnf(refute_0_6359,plain,
    product(product(a,b),product(c,c)) = product(product(a,b),product(c,c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(c,c)))]]) ).

cnf(refute_0_6360,plain,
    ( product(c,c) != c
    | product(product(a,b),product(c,c)) != product(product(a,b),product(c,c))
    | product(product(a,b),product(c,c)) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(c,c)),product(product(a,b),product(c,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6361,plain,
    ( product(c,c) != c
    | product(product(a,b),product(c,c)) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,c)),product(product(a,b),product(c,c))) )],[refute_0_6359,refute_0_6360]) ).

cnf(refute_0_6362,plain,
    product(product(a,b),product(c,c)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_6361]) ).

cnf(refute_0_6363,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) = product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))))]]) ).

cnf(refute_0_6364,plain,
    ( product(product(a,b),product(c,c)) != product(product(a,b),c)
    | product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) != product(product(bigC(c,a,b),a),product(product(a,b),product(c,c)))
    | product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))),product(product(bigC(c,a,b),a),product(product(a,b),product(c,c)))) ),[1,1],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_6365,plain,
    ( product(product(a,b),product(c,c)) != product(product(a,b),c)
    | product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))),product(product(bigC(c,a,b),a),product(product(a,b),product(c,c)))) )],[refute_0_6363,refute_0_6364]) ).

cnf(refute_0_6366,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,c)),product(product(a,b),c)) )],[refute_0_6362,refute_0_6365]) ).

cnf(refute_0_6367,plain,
    product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(bigC(c,a,b),a))),bind(X_63,$fot(a)),bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_6368,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) != product(product(bigC(c,a,b),a),product(product(a,b),product(c,c)))
    | product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))))),bind(Y,$fot(product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))))),bind(Z,$fot(product(product(bigC(c,a,b),a),product(product(a,b),c))))]]) ).

cnf(refute_0_6369,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))),product(product(bigC(c,a,b),a),product(product(a,b),product(c,c)))) )],[refute_0_6367,refute_0_6368]) ).

cnf(refute_0_6370,plain,
    product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),product(c,c))),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6366,refute_0_6369]) ).

cnf(refute_0_6371,plain,
    product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))),
    inference(subst,[],[refute_0_4408:[bind(A,$fot(bigC(c,a,b))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_6372,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != product(product(bigC(c,a,b),a),product(product(a,c),product(b,c)))
    | product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))))),bind(Y,$fot(product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))))),bind(Z,$fot(product(product(bigC(c,a,b),a),product(product(a,b),c))))]]) ).

cnf(refute_0_6373,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),product(product(bigC(c,a,b),a),product(product(a,c),product(b,c)))) )],[refute_0_6371,refute_0_6372]) ).

cnf(refute_0_6374,plain,
    product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,c),product(b,c))),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6370,refute_0_6373]) ).

cnf(refute_0_6375,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6376,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6377,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6375,refute_0_6376]) ).

cnf(refute_0_6378,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_6377]) ).

cnf(refute_0_6379,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))),bind(Y,$fot(product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))))),bind(Z,$fot(product(product(bigC(c,a,b),a),product(product(a,b),c))))]]) ).

cnf(refute_0_6380,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))) )],[refute_0_6378,refute_0_6379]) ).

cnf(refute_0_6381,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6374,refute_0_6380]) ).

cnf(refute_0_6382,plain,
    product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))))]]) ).

cnf(refute_0_6383,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) != product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))
    | product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))) ),[1,1],$fot(product(product(bigC(c,a,b),a),product(product(a,b),c)))]]) ).

cnf(refute_0_6384,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))) )],[refute_0_6382,refute_0_6383]) ).

cnf(refute_0_6385,plain,
    product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6381,refute_0_6384]) ).

cnf(refute_0_6386,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) != product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) ),[0],$fot(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))))]]) ).

cnf(refute_0_6387,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c)))) )],[refute_0_6385,refute_0_6386]) ).

cnf(refute_0_6388,plain,
    product(X_64,product(product(product(a,c),c),c)) = product(X_64,product(product(product(a,c),c),c)),
    introduced(tautology,[refl,[$fot(product(X_64,product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_6389,plain,
    ( product(X_64,product(product(product(a,c),c),c)) != product(X_64,product(product(product(a,c),c),c))
    | product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(X_64,product(product(product(a,c),c),c)) = product(X_64,product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_64,product(product(product(a,c),c),c)),product(X_64,product(product(product(a,c),c),c))) ),[1,1],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_6390,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(X_64,product(product(product(a,c),c),c)) = product(X_64,product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(X_64,product(product(product(a,c),c),c)),product(X_64,product(product(product(a,c),c),c))) )],[refute_0_6388,refute_0_6389]) ).

cnf(refute_0_6391,plain,
    product(X_64,product(product(product(a,c),c),c)) = product(X_64,product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_6390]) ).

cnf(refute_0_6392,plain,
    product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),
    introduced(tautology,[refl,[$fot(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_6393,plain,
    ( product(X_64,product(product(product(a,c),c),c)) != product(X_64,product(product(a,product(b,c)),c))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) ),[1,1],$fot(product(X_64,product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_6394,plain,
    ( product(X_64,product(product(product(a,c),c),c)) != product(X_64,product(product(a,product(b,c)),c))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) )],[refute_0_6392,refute_0_6393]) ).

cnf(refute_0_6395,plain,
    product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(X_64,product(product(product(a,c),c),c)),product(X_64,product(product(a,product(b,c)),c))) )],[refute_0_6391,refute_0_6394]) ).

cnf(refute_0_6396,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) ),[0],$fot(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_6397,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) )],[refute_0_6395,refute_0_6396]) ).

cnf(refute_0_6398,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) )],[refute_0_6387,refute_0_6397]) ).

cnf(refute_0_6399,plain,
    product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(product(a,c),c),c)))) )],[refute_0_6358,refute_0_6398]) ).

cnf(refute_0_6400,plain,
    product(product(c,a),product(product(a,b),c)) = bigC(c,a,product(a,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_6401,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),product(product(a,b),c)))]]) ).

cnf(refute_0_6402,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(product(a,b),c)) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(bigC(c,a,b),a),product(product(a,b),c)) = product(product(c,a),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),c)),product(product(bigC(c,a,b),a),product(product(a,b),c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_6403,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(product(a,b),c)) = product(product(c,a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),c)),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6401,refute_0_6402]) ).

cnf(refute_0_6404,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),c)) = product(product(c,a),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_6403]) ).

cnf(refute_0_6405,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),c)) != product(product(c,a),product(product(a,b),c))
    | product(product(c,a),product(product(a,b),c)) != bigC(c,a,product(a,b))
    | product(product(bigC(c,a,b),a),product(product(a,b),c)) = bigC(c,a,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),a),product(product(a,b),c)))),bind(Y,$fot(product(product(c,a),product(product(a,b),c)))),bind(Z,$fot(bigC(c,a,product(a,b))))]]) ).

cnf(refute_0_6406,plain,
    ( product(product(c,a),product(product(a,b),c)) != bigC(c,a,product(a,b))
    | product(product(bigC(c,a,b),a),product(product(a,b),c)) = bigC(c,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),c)),product(product(c,a),product(product(a,b),c))) )],[refute_0_6404,refute_0_6405]) ).

cnf(refute_0_6407,plain,
    product(product(bigC(c,a,b),a),product(product(a,b),c)) = bigC(c,a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),c)),bigC(c,a,product(a,b))) )],[refute_0_6400,refute_0_6406]) ).

cnf(refute_0_6408,plain,
    product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),
    introduced(tautology,[refl,[$fot(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))))]]) ).

cnf(refute_0_6409,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) != product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c)))
    | product(product(bigC(c,a,b),a),product(product(a,b),c)) != bigC(c,a,product(a,b))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,X_64),bigC(c,a,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c)))) ),[1,1],$fot(bigC(c,a,product(a,b)))]]) ).

cnf(refute_0_6410,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),c)) != bigC(c,a,product(a,b))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,X_64),bigC(c,a,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c)))) )],[refute_0_6408,refute_0_6409]) ).

cnf(refute_0_6411,plain,
    product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) = product(product(X_63,X_64),bigC(c,a,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),c)),bigC(c,a,product(a,b))) )],[refute_0_6407,refute_0_6410]) ).

cnf(refute_0_6412,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) != product(product(X_63,X_64),bigC(c,a,product(a,b)))
    | product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) ),[0],$fot(product(product(X_63,X_64),bigC(c,a,product(a,b))))]]) ).

cnf(refute_0_6413,plain,
    ( product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,X_64),bigC(c,a,product(a,b)))) )],[refute_0_6411,refute_0_6412]) ).

cnf(refute_0_6414,plain,
    product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(bigC(c,a,b),a),product(product(a,b),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) )],[refute_0_6399,refute_0_6413]) ).

cnf(refute_0_6415,plain,
    ( product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) ),[1],$fot(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6416,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6351,refute_0_6415]) ).

cnf(refute_0_6417,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) )],[refute_0_6344,refute_0_6416]) ).

cnf(refute_0_6418,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_6419,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) ),[1,1],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_6420,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c))) )],[refute_0_6418,refute_0_6419]) ).

cnf(refute_0_6421,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_6420]) ).

cnf(refute_0_6422,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) ),[0],$fot(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_6423,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c))) )],[refute_0_6421,refute_0_6422]) ).

cnf(refute_0_6424,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) ),[1],$fot(product(product(bigC(c,a,b),a),product(product(a,b),c)))]]) ).

cnf(refute_0_6425,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6381,refute_0_6424]) ).

cnf(refute_0_6426,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)) != product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6423,refute_0_6425]) ).

cnf(refute_0_6427,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(product(bigC(c,a,b),a),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(product(a,c),c),c)),product(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6417,refute_0_6426]) ).

cnf(refute_0_6428,plain,
    ( product(product(bigC(c,a,b),a),product(product(a,b),c)) != bigC(c,a,product(a,b))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = bigC(c,a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(product(bigC(c,a,b),a),product(product(a,b),c))) ),[1],$fot(bigC(c,a,product(a,b)))]]) ).

cnf(refute_0_6429,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(product(bigC(c,a,b),a),product(product(a,b),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = bigC(c,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(product(a,b),c)),bigC(c,a,product(a,b))) )],[refute_0_6407,refute_0_6428]) ).

cnf(refute_0_6430,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = bigC(c,a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(product(bigC(c,a,b),a),product(product(a,b),c))) )],[refute_0_6427,refute_0_6429]) ).

cnf(refute_0_6431,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,b),a))),bind(X_16,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_6432,plain,
    ( product(product(product(c,b),a),product(a,product(b,c))) != bigC(a,a,b)
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = product(bigC(a,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))),product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6433,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = product(bigC(a,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(a,product(b,c))),bigC(a,a,b)) )],[refute_0_5561,refute_0_6432]) ).

cnf(refute_0_6434,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = product(bigC(a,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))),product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_6431,refute_0_6433]) ).

cnf(refute_0_6435,plain,
    product(bigC(a,a,b),product(product(a,c),c)) = bigC(c,product(a,c),product(a,c)),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_6436,plain,
    product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)) = product(product(product(product(c,b),a),product(a,product(b,c))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(product(c,b),a))),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_6437,plain,
    ( product(product(product(c,b),a),product(a,product(b,c))) != bigC(a,a,b)
    | product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)) != product(product(product(product(c,b),a),product(a,product(b,c))),product(B,D))
    | product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)) = product(bigC(a,a,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)),product(product(product(product(c,b),a),product(a,product(b,c))),product(B,D))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6438,plain,
    ( product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)) != product(product(product(product(c,b),a),product(a,product(b,c))),product(B,D))
    | product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)) = product(bigC(a,a,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(a,product(b,c))),bigC(a,a,b)) )],[refute_0_5561,refute_0_6437]) ).

cnf(refute_0_6439,plain,
    product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)) = product(bigC(a,a,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),B),product(product(a,product(b,c)),D)),product(product(product(product(c,b),a),product(a,product(b,c))),product(B,D))) )],[refute_0_6436,refute_0_6438]) ).

cnf(refute_0_6440,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(bigC(a,a,b),product(product(a,c),c)),
    inference(subst,[],[refute_0_6439:[bind(B,$fot(product(a,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_6441,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != bigC(c,product(a,c),product(a,c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(bigC(a,a,b),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = bigC(c,product(a,c),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)))),bind(Y,$fot(product(bigC(a,a,b),product(product(a,c),c)))),bind(Z,$fot(bigC(c,product(a,c),product(a,c))))]]) ).

cnf(refute_0_6442,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != bigC(c,product(a,c),product(a,c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = bigC(c,product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(bigC(a,a,b),product(product(a,c),c))) )],[refute_0_6440,refute_0_6441]) ).

cnf(refute_0_6443,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = bigC(c,product(a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),bigC(c,product(a,c),product(a,c))) )],[refute_0_6435,refute_0_6442]) ).

cnf(refute_0_6444,plain,
    ( product(product(A,product(a,c)),product(C,c)) != product(product(A,C),product(a,product(b,c)))
    | product(product(A,C),product(a,product(b,c))) = product(product(A,product(a,c)),product(C,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,product(a,c)),product(C,c)))),bind(Y,$fot(product(product(A,C),product(a,product(b,c)))))]]) ).

cnf(refute_0_6445,plain,
    product(product(A,C),product(a,product(b,c))) = product(product(A,product(a,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,c)),product(C,c)),product(product(A,C),product(a,product(b,c)))) )],[refute_0_4416,refute_0_6444]) ).

cnf(refute_0_6446,plain,
    product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) = product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),
    inference(subst,[],[refute_0_6445:[bind(A,$fot(product(product(c,b),a))),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_6447,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != bigC(c,product(a,c),product(a,c))
    | product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) != product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c))
    | product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) = bigC(c,product(a,c),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))))),bind(Y,$fot(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)))),bind(Z,$fot(bigC(c,product(a,c),product(a,c))))]]) ).

cnf(refute_0_6448,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != bigC(c,product(a,c),product(a,c))
    | product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) = bigC(c,product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))),product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c))) )],[refute_0_6446,refute_0_6447]) ).

cnf(refute_0_6449,plain,
    product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) = bigC(c,product(a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),bigC(c,product(a,c),product(a,c))) )],[refute_0_6443,refute_0_6448]) ).

cnf(refute_0_6450,plain,
    ( product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) != bigC(c,product(a,c),product(a,c))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = bigC(c,product(a,c),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))))),bind(Y,$fot(product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))))),bind(Z,$fot(bigC(c,product(a,c),product(a,c))))]]) ).

cnf(refute_0_6451,plain,
    ( product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))) != bigC(c,product(a,c),product(a,c))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = bigC(c,product(a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))),product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_6431,refute_0_6450]) ).

cnf(refute_0_6452,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) = bigC(c,product(a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,product(b,c))),product(a,product(b,c))),bigC(c,product(a,c),product(a,c))) )],[refute_0_6449,refute_0_6451]) ).

cnf(refute_0_6453,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != bigC(c,product(a,c),product(a,c))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != product(bigC(a,a,b),product(a,product(b,c)))
    | bigC(c,product(a,c),product(a,c)) = product(bigC(a,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))),product(bigC(a,a,b),product(a,product(b,c)))) ),[0],$fot(bigC(c,product(a,c),product(a,c)))]]) ).

cnf(refute_0_6454,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != product(bigC(a,a,b),product(a,product(b,c)))
    | bigC(c,product(a,c),product(a,c)) = product(bigC(a,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))),bigC(c,product(a,c),product(a,c))) )],[refute_0_6452,refute_0_6453]) ).

cnf(refute_0_6455,plain,
    bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(a,product(b,c)),product(product(bigC(c,b,a),a),product(a,b))),
    inference(subst,[],[refute_0_127:[bind(X_45,$fot(product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_6456,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(a,product(b,c)),product(product(bigC(c,b,a),a),product(a,b)))
    | product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(product(a,product(b,c)),product(product(bigC(c,b,a),a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_6457,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(a,product(b,c)),product(product(bigC(c,b,a),a),product(a,b)))
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_6456]) ).

cnf(refute_0_6458,plain,
    bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(product(a,product(b,c)),product(product(bigC(c,b,a),a),product(a,b)))) )],[refute_0_6455,refute_0_6457]) ).

cnf(refute_0_6459,plain,
    product(product(product(a,b),a),product(product(a,c),c)) = product(product(product(a,b),a),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(product(a,c),c)))]]) ).

cnf(refute_0_6460,plain,
    ( product(product(a,b),a) != bigC(a,b,a)
    | product(product(product(a,b),a),product(product(a,c),c)) != product(product(product(a,b),a),product(product(a,c),c))
    | product(product(product(a,b),a),product(product(a,c),c)) = product(bigC(a,b,a),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(product(a,c),c)),product(product(product(a,b),a),product(product(a,c),c))) ),[1,0],$fot(bigC(a,b,a))]]) ).

cnf(refute_0_6461,plain,
    ( product(product(a,b),a) != bigC(a,b,a)
    | product(product(product(a,b),a),product(product(a,c),c)) = product(bigC(a,b,a),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,c),c)),product(product(product(a,b),a),product(product(a,c),c))) )],[refute_0_6459,refute_0_6460]) ).

cnf(refute_0_6462,plain,
    product(product(product(a,b),a),product(product(a,c),c)) = product(bigC(a,b,a),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,b,a)) )],[refute_0_835,refute_0_6461]) ).

cnf(refute_0_6463,plain,
    product(product(product(a,b),product(a,c)),product(a,c)) = product(product(product(a,b),a),product(product(a,c),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(a)),bind(C,$fot(product(a,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_6464,plain,
    bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(product(a,b),product(a,c)),product(a,c)),
    inference(subst,[],[refute_0_830:[bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_6465,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(product(a,b),product(a,c)),product(a,c))
    | product(product(product(a,b),product(a,c)),product(a,c)) != product(product(product(a,b),a),product(product(a,c),c))
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(product(a,b),a),product(product(a,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)))),bind(Y,$fot(product(product(product(a,b),product(a,c)),product(a,c)))),bind(Z,$fot(product(product(product(a,b),a),product(product(a,c),c))))]]) ).

cnf(refute_0_6466,plain,
    ( product(product(product(a,b),product(a,c)),product(a,c)) != product(product(product(a,b),a),product(product(a,c),c))
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(product(a,b),a),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(product(product(a,b),product(a,c)),product(a,c))) )],[refute_0_6464,refute_0_6465]) ).

cnf(refute_0_6467,plain,
    bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(product(product(a,b),a),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(a,c)),product(product(product(a,b),a),product(product(a,c),c))) )],[refute_0_6463,refute_0_6466]) ).

cnf(refute_0_6468,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(product(a,b),a),product(product(a,c),c))
    | product(product(product(a,b),a),product(product(a,c),c)) != product(bigC(a,b,a),product(product(a,c),c))
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(product(a,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)))),bind(Y,$fot(product(product(product(a,b),a),product(product(a,c),c)))),bind(Z,$fot(product(bigC(a,b,a),product(product(a,c),c))))]]) ).

cnf(refute_0_6469,plain,
    ( product(product(product(a,b),a),product(product(a,c),c)) != product(bigC(a,b,a),product(product(a,c),c))
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(product(product(a,b),a),product(product(a,c),c))) )],[refute_0_6467,refute_0_6468]) ).

cnf(refute_0_6470,plain,
    bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) = product(bigC(a,b,a),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,c),c)),product(bigC(a,b,a),product(product(a,c),c))) )],[refute_0_6462,refute_0_6469]) ).

cnf(refute_0_6471,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(bigC(a,b,a),product(product(a,c),c))
    | bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,b,a),product(product(a,c),c)) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(product(a,product(b,c)),product(a,c))) ),[0],$fot(product(bigC(a,b,a),product(product(a,c),c)))]]) ).

cnf(refute_0_6472,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,b,a),product(product(a,c),c)) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(bigC(a,b,a),product(product(a,c),c))) )],[refute_0_6470,refute_0_6471]) ).

cnf(refute_0_6473,plain,
    ( product(bigC(a,b,a),product(product(a,c),c)) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | product(bigC(a,b,a),product(product(a,c),c)) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,a),product(product(a,c),c)),product(a,product(product(b,c),c))) ),[0],$fot(product(product(a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_6474,plain,
    ( product(bigC(a,b,a),product(product(a,c),c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,b,a),product(product(a,c),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_6473]) ).

cnf(refute_0_6475,plain,
    ( bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,b,a),product(product(a,c),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(product(a,product(b,c)),product(a,c))) )],[refute_0_6472,refute_0_6474]) ).

cnf(refute_0_6476,plain,
    product(bigC(a,b,a),product(product(a,c),c)) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(bigC(c,b,a),a)),product(product(a,product(b,c)),product(a,c))) )],[refute_0_6458,refute_0_6475]) ).

cnf(refute_0_6477,plain,
    product(bigC(a,b,a),product(product(a,c),c)) = product(bigC(a,b,a),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(product(a,c),c)))]]) ).

cnf(refute_0_6478,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(a,c),c)) != product(bigC(a,b,a),product(product(a,c),c))
    | product(bigC(a,b,a),product(product(a,c),c)) = product(bigC(a,a,b),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(bigC(a,b,a),product(product(a,c),c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6479,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(a,c),c)) = product(bigC(a,a,b),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(bigC(a,b,a),product(product(a,c),c))) )],[refute_0_6477,refute_0_6478]) ).

cnf(refute_0_6480,plain,
    product(bigC(a,b,a),product(product(a,c),c)) = product(bigC(a,a,b),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_6479]) ).

cnf(refute_0_6481,plain,
    ( product(bigC(a,b,a),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | product(bigC(a,b,a),product(product(a,c),c)) != product(bigC(a,a,b),product(product(a,c),c))
    | product(bigC(a,a,b),product(product(a,c),c)) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(a,product(product(b,c),c))) ),[0],$fot(product(bigC(a,a,b),product(product(a,c),c)))]]) ).

cnf(refute_0_6482,plain,
    ( product(bigC(a,b,a),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | product(bigC(a,a,b),product(product(a,c),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(bigC(a,a,b),product(product(a,c),c))) )],[refute_0_6480,refute_0_6481]) ).

cnf(refute_0_6483,plain,
    product(bigC(a,a,b),product(product(a,c),c)) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(a,product(product(b,c),c))) )],[refute_0_6476,refute_0_6482]) ).

cnf(refute_0_6484,plain,
    product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,b),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(a,c),c)))]]) ).

cnf(refute_0_6485,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != product(bigC(a,a,b),product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(bigC(a,a,b),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6486,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(bigC(a,a,b),product(product(a,c),c))) )],[refute_0_6484,refute_0_6485]) ).

cnf(refute_0_6487,plain,
    product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_6486]) ).

cnf(refute_0_6488,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | product(bigC(a,a,b),product(product(a,c),c)) != product(bigC(a,a,b),product(a,product(b,c)))
    | product(bigC(a,a,b),product(a,product(b,c))) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(a,product(product(b,c),c))) ),[0],$fot(product(bigC(a,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_6489,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | product(bigC(a,a,b),product(a,product(b,c))) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(bigC(a,a,b),product(a,product(b,c)))) )],[refute_0_6487,refute_0_6488]) ).

cnf(refute_0_6490,plain,
    product(bigC(a,a,b),product(a,product(b,c))) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(a,product(product(b,c),c))) )],[refute_0_6483,refute_0_6489]) ).

cnf(refute_0_6491,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | product(bigC(a,a,b),product(a,product(b,c))) != product(a,product(product(b,c),c))
    | product(bigC(a,a,b),product(a,product(b,c))) = product(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(a,product(b,c))),product(a,product(product(b,c),c))) ),[1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_6492,plain,
    ( product(bigC(a,a,b),product(a,product(b,c))) != product(a,product(product(b,c),c))
    | product(bigC(a,a,b),product(a,product(b,c))) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_6491]) ).

cnf(refute_0_6493,plain,
    product(bigC(a,a,b),product(a,product(b,c))) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(b,c))),product(a,product(product(b,c),c))) )],[refute_0_6490,refute_0_6492]) ).

cnf(refute_0_6494,plain,
    ( bigC(c,product(a,c),product(a,c)) != product(bigC(a,a,b),product(a,product(b,c)))
    | product(bigC(a,a,b),product(a,product(b,c))) != product(bigC(a,a,c),c)
    | bigC(c,product(a,c),product(a,c)) = product(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,c),product(a,c)),product(bigC(a,a,c),c)) ),[0],$fot(product(bigC(a,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_6495,plain,
    ( bigC(c,product(a,c),product(a,c)) != product(bigC(a,a,b),product(a,product(b,c)))
    | bigC(c,product(a,c),product(a,c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(b,c))),product(bigC(a,a,c),c)) )],[refute_0_6493,refute_0_6494]) ).

cnf(refute_0_6496,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))) != product(bigC(a,a,b),product(a,product(b,c)))
    | bigC(c,product(a,c),product(a,c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(a,c)),product(bigC(a,a,b),product(a,product(b,c)))) )],[refute_0_6454,refute_0_6495]) ).

cnf(refute_0_6497,plain,
    bigC(c,product(a,c),product(a,c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(c,b),a)))),product(bigC(a,a,b),product(a,product(b,c)))) )],[refute_0_6434,refute_0_6496]) ).

cnf(refute_0_6498,plain,
    ( bigC(c,product(a,c),product(a,c)) != product(bigC(a,a,c),c)
    | product(bigC(a,a,b),product(product(a,c),c)) != bigC(c,product(a,c),product(a,c))
    | product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(product(a,c),c)))),bind(Y,$fot(bigC(c,product(a,c),product(a,c)))),bind(Z,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_6499,plain,
    ( bigC(c,product(a,c),product(a,c)) != product(bigC(a,a,c),c)
    | product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),bigC(c,product(a,c),product(a,c))) )],[refute_0_6435,refute_0_6498]) ).

cnf(refute_0_6500,plain,
    product(bigC(a,a,b),product(product(a,c),c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(a,c)),product(bigC(a,a,c),c)) )],[refute_0_6497,refute_0_6499]) ).

cnf(refute_0_6501,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != product(bigC(a,a,c),c)
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(bigC(a,a,b),product(product(a,c),c))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)))),bind(Y,$fot(product(bigC(a,a,b),product(product(a,c),c)))),bind(Z,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_6502,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != product(bigC(a,a,c),c)
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(bigC(a,a,b),product(product(a,c),c))) )],[refute_0_6440,refute_0_6501]) ).

cnf(refute_0_6503,plain,
    product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(bigC(a,a,c),c)) )],[refute_0_6500,refute_0_6502]) ).

cnf(refute_0_6504,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != bigC(c,a,product(a,b))
    | product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != product(bigC(a,a,c),c)
    | product(bigC(a,a,c),c) = bigC(c,a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),bigC(c,a,product(a,b))) ),[0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_6505,plain,
    ( product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)) != bigC(c,a,product(a,b))
    | product(bigC(a,a,c),c) = bigC(c,a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),product(bigC(a,a,c),c)) )],[refute_0_6503,refute_0_6504]) ).

cnf(refute_0_6506,plain,
    product(bigC(a,a,c),c) = bigC(c,a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(a,c)),product(product(a,product(b,c)),c)),bigC(c,a,product(a,b))) )],[refute_0_6430,refute_0_6505]) ).

cnf(refute_0_6507,plain,
    ( product(bigC(a,a,c),c) != bigC(c,a,product(a,b))
    | bigC(c,a,product(a,b)) = product(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,c),c))),bind(Y,$fot(bigC(c,a,product(a,b))))]]) ).

cnf(refute_0_6508,plain,
    bigC(c,a,product(a,b)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),c),bigC(c,a,product(a,b))) )],[refute_0_6506,refute_0_6507]) ).

cnf(refute_0_6509,plain,
    product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,X_64),bigC(c,a,product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(X_63,X_64),bigC(c,a,product(a,b))))]]) ).

cnf(refute_0_6510,plain,
    ( bigC(c,a,product(a,b)) != product(bigC(a,a,c),c)
    | product(product(X_63,X_64),bigC(c,a,product(a,b))) != product(product(X_63,X_64),bigC(c,a,product(a,b)))
    | product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,X_64),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),bigC(c,a,product(a,b))),product(product(X_63,X_64),bigC(c,a,product(a,b)))) ),[1,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_6511,plain,
    ( bigC(c,a,product(a,b)) != product(bigC(a,a,c),c)
    | product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,X_64),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),bigC(c,a,product(a,b))),product(product(X_63,X_64),bigC(c,a,product(a,b)))) )],[refute_0_6509,refute_0_6510]) ).

cnf(refute_0_6512,plain,
    product(product(X_63,X_64),bigC(c,a,product(a,b))) = product(product(X_63,X_64),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(a,b)),product(bigC(a,a,c),c)) )],[refute_0_6508,refute_0_6511]) ).

cnf(refute_0_6513,plain,
    ( product(product(X_63,X_64),bigC(c,a,product(a,b))) != product(product(X_63,X_64),product(bigC(a,a,c),c))
    | product(product(X_63,X_64),bigC(c,a,product(a,b))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),bigC(c,a,product(a,b))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) ),[0],$fot(product(product(X_63,X_64),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_6514,plain,
    ( product(product(X_63,X_64),bigC(c,a,product(a,b))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),bigC(c,a,product(a,b))),product(product(X_63,X_64),product(bigC(a,a,c),c))) )],[refute_0_6512,refute_0_6513]) ).

cnf(refute_0_6515,plain,
    product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),bigC(c,a,product(a,b))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) )],[refute_0_6414,refute_0_6514]) ).

cnf(refute_0_6516,plain,
    product(X_64,product(product(a,product(b,c)),c)) = product(X_64,product(product(a,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(X_64,product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_6517,plain,
    ( product(X_64,product(product(a,product(b,c)),c)) != product(X_64,product(product(a,product(b,c)),c))
    | product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(X_64,product(product(a,product(b,c)),c)) = product(X_64,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_64,product(product(a,product(b,c)),c)),product(X_64,product(product(a,product(b,c)),c))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6518,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(X_64,product(product(a,product(b,c)),c)) = product(X_64,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(X_64,product(product(a,product(b,c)),c)),product(X_64,product(product(a,product(b,c)),c))) )],[refute_0_6516,refute_0_6517]) ).

cnf(refute_0_6519,plain,
    product(X_64,product(product(a,product(b,c)),c)) = product(X_64,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_6518]) ).

cnf(refute_0_6520,plain,
    product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))))]]) ).

cnf(refute_0_6521,plain,
    ( product(X_64,product(product(a,product(b,c)),c)) != product(X_64,bigC(a,b,product(a,b)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) ),[1,1],$fot(product(X_64,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_6522,plain,
    ( product(X_64,product(product(a,product(b,c)),c)) != product(X_64,bigC(a,b,product(a,b)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) )],[refute_0_6520,refute_0_6521]) ).

cnf(refute_0_6523,plain,
    product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(X_64,product(product(a,product(b,c)),c)),product(X_64,bigC(a,b,product(a,b)))) )],[refute_0_6519,refute_0_6522]) ).

cnf(refute_0_6524,plain,
    ( product(product(X_63,X_64),product(bigC(a,a,c),c)) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))
    | product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_63,X_64),product(bigC(a,a,c),c)),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))) ),[0],$fot(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))))]]) ).

cnf(refute_0_6525,plain,
    ( product(product(X_63,X_64),product(bigC(a,a,c),c)) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))
    | product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))) )],[refute_0_6523,refute_0_6524]) ).

cnf(refute_0_6526,plain,
    product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(bigC(a,a,c),c)),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,product(product(a,product(b,c)),c)))) )],[refute_0_6515,refute_0_6525]) ).

cnf(refute_0_6527,plain,
    product(product(c,a),bigC(c,a,c)) = bigC(c,a,product(c,a)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(c)),bind(X_22,$fot(a)),bind(X_80,$fot(a))]]) ).

cnf(refute_0_6528,plain,
    product(product(c,product(c,a)),product(a,c)) = product(product(c,a),bigC(c,a,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(c)),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_82,$fot(a))]]) ).

cnf(refute_0_6529,plain,
    ( product(product(c,a),bigC(c,a,c)) != bigC(c,a,product(c,a))
    | product(product(c,product(c,a)),product(a,c)) != product(product(c,a),bigC(c,a,c))
    | product(product(c,product(c,a)),product(a,c)) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),product(a,c)))),bind(Y,$fot(product(product(c,a),bigC(c,a,c)))),bind(Z,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6530,plain,
    ( product(product(c,a),bigC(c,a,c)) != bigC(c,a,product(c,a))
    | product(product(c,product(c,a)),product(a,c)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(a,c)),product(product(c,a),bigC(c,a,c))) )],[refute_0_6528,refute_0_6529]) ).

cnf(refute_0_6531,plain,
    product(product(c,product(c,a)),product(a,c)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,a,c)),bigC(c,a,product(c,a))) )],[refute_0_6527,refute_0_6530]) ).

cnf(refute_0_6532,plain,
    product(product(product(c,b),a),product(a,c)) = product(product(product(c,b),a),product(a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),a),product(a,c)))]]) ).

cnf(refute_0_6533,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),product(a,c)) != product(product(product(c,b),a),product(a,c))
    | product(product(product(c,b),a),product(a,c)) = product(product(c,product(c,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),product(a,c)),product(product(product(c,b),a),product(a,c))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6534,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),product(a,c)) = product(product(c,product(c,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(a,c)),product(product(product(c,b),a),product(a,c))) )],[refute_0_6532,refute_0_6533]) ).

cnf(refute_0_6535,plain,
    product(product(product(c,b),a),product(a,c)) = product(product(c,product(c,a)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_6534]) ).

cnf(refute_0_6536,plain,
    ( product(product(c,product(c,a)),product(a,c)) != bigC(c,a,product(c,a))
    | product(product(product(c,b),a),product(a,c)) != product(product(c,product(c,a)),product(a,c))
    | product(product(product(c,b),a),product(a,c)) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),a),product(a,c)))),bind(Y,$fot(product(product(c,product(c,a)),product(a,c)))),bind(Z,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6537,plain,
    ( product(product(c,product(c,a)),product(a,c)) != bigC(c,a,product(c,a))
    | product(product(product(c,b),a),product(a,c)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(a,c)),product(product(c,product(c,a)),product(a,c))) )],[refute_0_6535,refute_0_6536]) ).

cnf(refute_0_6538,plain,
    product(product(product(c,b),a),product(a,c)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(a,c)),bigC(c,a,product(c,a))) )],[refute_0_6531,refute_0_6537]) ).

cnf(refute_0_6539,plain,
    product(X_63,product(product(product(c,b),a),product(a,c))) = product(X_63,product(product(product(c,b),a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(X_63,product(product(product(c,b),a),product(a,c))))]]) ).

cnf(refute_0_6540,plain,
    ( product(X_63,product(product(product(c,b),a),product(a,c))) != product(X_63,product(product(product(c,b),a),product(a,c)))
    | product(product(product(c,b),a),product(a,c)) != bigC(c,a,product(c,a))
    | product(X_63,product(product(product(c,b),a),product(a,c))) = product(X_63,bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_63,product(product(product(c,b),a),product(a,c)))) ),[1,1],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_6541,plain,
    ( product(product(product(c,b),a),product(a,c)) != bigC(c,a,product(c,a))
    | product(X_63,product(product(product(c,b),a),product(a,c))) = product(X_63,bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_63,product(product(product(c,b),a),product(a,c)))) )],[refute_0_6539,refute_0_6540]) ).

cnf(refute_0_6542,plain,
    product(X_63,product(product(product(c,b),a),product(a,c))) = product(X_63,bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(a,c)),bigC(c,a,product(c,a))) )],[refute_0_6538,refute_0_6541]) ).

cnf(refute_0_6543,plain,
    product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) = product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_6544,plain,
    ( product(X_63,product(product(product(c,b),a),product(a,c))) != product(X_63,bigC(c,a,product(c,a)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) = product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))) ),[1,0],$fot(product(X_63,bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6545,plain,
    ( product(X_63,product(product(product(c,b),a),product(a,c))) != product(X_63,bigC(c,a,product(c,a)))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) = product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))) )],[refute_0_6543,refute_0_6544]) ).

cnf(refute_0_6546,plain,
    product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) = product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_63,bigC(c,a,product(c,a)))) )],[refute_0_6542,refute_0_6545]) ).

cnf(refute_0_6547,plain,
    ( product(product(X_63,X_64),product(bigC(a,a,c),c)) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))
    | product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))) != product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b))))
    | product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(X_63,X_64),product(bigC(a,a,c),c)),product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b))))) ),[0],$fot(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_6548,plain,
    ( product(product(X_63,X_64),product(bigC(a,a,c),c)) != product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))
    | product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b)))),product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b))))) )],[refute_0_6546,refute_0_6547]) ).

cnf(refute_0_6549,plain,
    product(product(X_63,X_64),product(bigC(a,a,c),c)) = product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(bigC(a,a,c),c)),product(product(X_63,product(product(product(c,b),a),product(a,c))),product(X_64,bigC(a,b,product(a,b))))) )],[refute_0_6526,refute_0_6548]) ).

cnf(refute_0_6550,plain,
    ( product(product(X_63,X_64),product(bigC(a,a,c),c)) != product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b))))
    | product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))) = product(product(X_63,X_64),product(bigC(a,a,c),c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),product(bigC(a,a,c),c)))),bind(Y,$fot(product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b))))))]]) ).

cnf(refute_0_6551,plain,
    product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b)))) = product(product(X_63,X_64),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(bigC(a,a,c),c)),product(product(X_63,bigC(c,a,product(c,a))),product(X_64,bigC(a,b,product(a,b))))) )],[refute_0_6549,refute_0_6550]) ).

cnf(refute_0_6552,plain,
    product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c)),
    inference(subst,[],[refute_0_6551:[bind(X_63,$fot(c)),bind(X_64,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6553,plain,
    ( product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c)) != bigC(c,bigC(a,a,b),bigC(a,a,c))
    | product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c))
    | product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,bigC(a,a,b),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))))),bind(Y,$fot(product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c)))),bind(Z,$fot(bigC(c,bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_6554,plain,
    ( product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c)) != bigC(c,bigC(a,a,b),bigC(a,a,c))
    | product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,bigC(a,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c))) )],[refute_0_6552,refute_0_6553]) ).

cnf(refute_0_6555,plain,
    product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,bigC(a,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(bigC(a,a,c),c)),bigC(c,bigC(a,a,b),bigC(a,a,c))) )],[refute_0_6325,refute_0_6554]) ).

cnf(refute_0_6556,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(a,b,b))),bind(X_16,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6557,plain,
    ( product(bigC(a,a,b),bigC(a,b,b)) != bigC(a,b,product(a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) ),[0,1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6558,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,b)),bigC(a,b,product(a,b))) )],[refute_0_6321,refute_0_6557]) ).

cnf(refute_0_6559,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,b)))),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6556,refute_0_6558]) ).

cnf(refute_0_6560,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(b,a,b)))) = product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(b,a,b))),bind(X_16,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6561,plain,
    ( product(bigC(a,a,b),bigC(b,a,b)) != bigC(a,b,product(a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(b,a,b)))) != product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(b,a,b)))),product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))) ),[0,1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_6562,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(b,a,b)))) != product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,a,b)),bigC(a,b,product(a,b))) )],[refute_0_5873,refute_0_6561]) ).

cnf(refute_0_6563,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),bigC(b,a,b)))),product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6560,refute_0_6562]) ).

cnf(refute_0_6564,plain,
    bigC(c,product(c,product(c,a)),product(c,a)) = bigC(c,product(c,a),product(c,product(c,a))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(product(c,a))),bind(C,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_6565,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = product(product(difference(product(c,a),bigC(a,a,b)),X_22),bigC(a,a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,b))),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_6566,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) != product(product(difference(product(c,a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | difference(product(c,a),bigC(a,a,b)) != c
    | bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = product(product(c,X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),product(product(difference(product(c,a),bigC(a,a,b)),X_22),bigC(a,a,b))) ),[1,0,0],$fot(c)]]) ).

cnf(refute_0_6567,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) != product(product(difference(product(c,a),bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = product(product(c,X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_1542,refute_0_6566]) ).

cnf(refute_0_6568,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = product(product(c,X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),product(product(difference(product(c,a),bigC(a,a,b)),X_22),bigC(a,a,b))) )],[refute_0_6565,refute_0_6567]) ).

cnf(refute_0_6569,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)))]]) ).

cnf(refute_0_6570,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) != bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a))
    | difference(product(c,a),bigC(a,a,b)) != c
    | bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = bigC(c,X_22,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6571,plain,
    ( difference(product(c,a),bigC(a,a,b)) != c
    | bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = bigC(c,X_22,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a))) )],[refute_0_6569,refute_0_6570]) ).

cnf(refute_0_6572,plain,
    bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) = bigC(c,X_22,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,b)),c) )],[refute_0_1542,refute_0_6571]) ).

cnf(refute_0_6573,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) != bigC(c,X_22,product(c,a))
    | bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) != product(product(c,X_22),bigC(a,a,b))
    | bigC(c,X_22,product(c,a)) = product(product(c,X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),product(product(c,X_22),bigC(a,a,b))) ),[0],$fot(bigC(c,X_22,product(c,a)))]]) ).

cnf(refute_0_6574,plain,
    ( bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)) != product(product(c,X_22),bigC(a,a,b))
    | bigC(c,X_22,product(c,a)) = product(product(c,X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),bigC(c,X_22,product(c,a))) )],[refute_0_6572,refute_0_6573]) ).

cnf(refute_0_6575,plain,
    bigC(c,X_22,product(c,a)) = product(product(c,X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,b)),X_22,product(c,a)),product(product(c,X_22),bigC(a,a,b))) )],[refute_0_6568,refute_0_6574]) ).

cnf(refute_0_6576,plain,
    ( bigC(c,X_22,product(c,a)) != product(product(c,X_22),bigC(a,a,b))
    | product(product(c,X_22),bigC(a,a,b)) = bigC(c,X_22,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,X_22,product(c,a)))),bind(Y,$fot(product(product(c,X_22),bigC(a,a,b))))]]) ).

cnf(refute_0_6577,plain,
    product(product(c,X_22),bigC(a,a,b)) = bigC(c,X_22,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(c,a)),product(product(c,X_22),bigC(a,a,b))) )],[refute_0_6575,refute_0_6576]) ).

cnf(refute_0_6578,plain,
    product(product(c,product(c,product(c,a))),bigC(a,a,b)) = bigC(c,product(c,product(c,a)),product(c,a)),
    inference(subst,[],[refute_0_6577:[bind(X_22,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_6579,plain,
    ( bigC(c,product(c,product(c,a)),product(c,a)) != bigC(c,product(c,a),product(c,product(c,a)))
    | product(product(c,product(c,product(c,a))),bigC(a,a,b)) != bigC(c,product(c,product(c,a)),product(c,a))
    | product(product(c,product(c,product(c,a))),bigC(a,a,b)) = bigC(c,product(c,a),product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,product(c,a))),bigC(a,a,b)))),bind(Y,$fot(bigC(c,product(c,product(c,a)),product(c,a)))),bind(Z,$fot(bigC(c,product(c,a),product(c,product(c,a)))))]]) ).

cnf(refute_0_6580,plain,
    ( bigC(c,product(c,product(c,a)),product(c,a)) != bigC(c,product(c,a),product(c,product(c,a)))
    | product(product(c,product(c,product(c,a))),bigC(a,a,b)) = bigC(c,product(c,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),bigC(a,a,b)),bigC(c,product(c,product(c,a)),product(c,a))) )],[refute_0_6578,refute_0_6579]) ).

cnf(refute_0_6581,plain,
    product(product(c,product(c,product(c,a))),bigC(a,a,b)) = bigC(c,product(c,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,a)),product(c,a)),bigC(c,product(c,a),product(c,product(c,a)))) )],[refute_0_6564,refute_0_6580]) ).

cnf(refute_0_6582,plain,
    product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_6583,plain,
    ( product(bigC(b,a,b),bigC(a,a,b)) != product(c,product(c,product(c,a)))
    | product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) != product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))
    | product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,product(c,product(c,a))),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))) ),[1,0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_6584,plain,
    ( product(bigC(b,a,b),bigC(a,a,b)) != product(c,product(c,product(c,a)))
    | product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,product(c,product(c,a))),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6582,refute_0_6583]) ).

cnf(refute_0_6585,plain,
    product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,product(c,product(c,a))),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),product(c,product(c,product(c,a)))) )],[refute_0_5424,refute_0_6584]) ).

cnf(refute_0_6586,plain,
    ( product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,product(c,product(c,a))),bigC(a,a,b))
    | product(product(c,product(c,product(c,a))),bigC(a,a,b)) != bigC(c,product(c,a),product(c,product(c,a)))
    | product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = bigC(c,product(c,a),product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)))),bind(Y,$fot(product(product(c,product(c,product(c,a))),bigC(a,a,b)))),bind(Z,$fot(bigC(c,product(c,a),product(c,product(c,a)))))]]) ).

cnf(refute_0_6587,plain,
    ( product(product(c,product(c,product(c,a))),bigC(a,a,b)) != bigC(c,product(c,a),product(c,product(c,a)))
    | product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = bigC(c,product(c,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),product(product(c,product(c,product(c,a))),bigC(a,a,b))) )],[refute_0_6585,refute_0_6586]) ).

cnf(refute_0_6588,plain,
    product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) = bigC(c,product(c,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),bigC(a,a,b)),bigC(c,product(c,a),product(c,product(c,a)))) )],[refute_0_6581,refute_0_6587]) ).

cnf(refute_0_6589,plain,
    ( product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)) != bigC(c,product(c,a),product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,product(c,a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))) ),[1],$fot(bigC(c,product(c,a),product(c,product(c,a))))]]) ).

cnf(refute_0_6590,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,product(c,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b)),bigC(c,product(c,a),product(c,product(c,a)))) )],[refute_0_6588,refute_0_6589]) ).

cnf(refute_0_6591,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,product(c,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(bigC(b,a,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6563,refute_0_6590]) ).

cnf(refute_0_6592,plain,
    product(product(c,a),bigC(a,a,b)) = bigC(c,a,product(c,a)),
    inference(subst,[],[refute_0_6577:[bind(X_22,$fot(a))]]) ).

cnf(refute_0_6593,plain,
    product(c,product(product(c,a),bigC(a,a,b))) = product(c,product(product(c,a),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_6594,plain,
    ( product(c,product(product(c,a),bigC(a,a,b))) != product(c,product(product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | product(c,product(product(c,a),bigC(a,a,b))) = product(c,bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,a),bigC(a,a,b))),product(c,product(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_6595,plain,
    ( product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | product(c,product(product(c,a),bigC(a,a,b))) = product(c,bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),bigC(a,a,b))),product(c,product(product(c,a),bigC(a,a,b)))) )],[refute_0_6593,refute_0_6594]) ).

cnf(refute_0_6596,plain,
    product(c,product(product(c,a),bigC(a,a,b))) = product(c,bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(c,a,product(c,a))) )],[refute_0_6592,refute_0_6595]) ).

cnf(refute_0_6597,plain,
    bigC(c,B,product(product(b,a),c)) = product(product(c,B),product(product(product(b,a),c),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(product(product(b,a),c)))]]) ).

cnf(refute_0_6598,plain,
    ( bigC(c,B,product(product(b,a),c)) != product(product(c,B),product(product(product(b,a),c),c))
    | product(product(product(b,a),c),c) != product(c,bigC(a,a,b))
    | bigC(c,B,product(product(b,a),c)) = product(product(c,B),product(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),product(product(c,B),product(product(product(b,a),c),c))) ),[1,1],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_6599,plain,
    ( bigC(c,B,product(product(b,a),c)) != product(product(c,B),product(product(product(b,a),c),c))
    | bigC(c,B,product(product(b,a),c)) = product(product(c,B),product(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),c),product(c,bigC(a,a,b))) )],[refute_0_1901,refute_0_6598]) ).

cnf(refute_0_6600,plain,
    bigC(c,B,product(product(b,a),c)) = product(product(c,B),product(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),product(product(c,B),product(product(product(b,a),c),c))) )],[refute_0_6597,refute_0_6599]) ).

cnf(refute_0_6601,plain,
    product(product(c,B),product(c,bigC(a,a,b))) = product(c,product(B,bigC(a,a,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(B)),bind(X_66,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6602,plain,
    ( bigC(c,B,product(product(b,a),c)) != product(product(c,B),product(c,bigC(a,a,b)))
    | product(product(c,B),product(c,bigC(a,a,b))) != product(c,product(B,bigC(a,a,b)))
    | bigC(c,B,product(product(b,a),c)) = product(c,product(B,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,product(product(b,a),c)),product(c,product(B,bigC(a,a,b)))) ),[0],$fot(product(product(c,B),product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_6603,plain,
    ( bigC(c,B,product(product(b,a),c)) != product(product(c,B),product(c,bigC(a,a,b)))
    | bigC(c,B,product(product(b,a),c)) = product(c,product(B,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,bigC(a,a,b))),product(c,product(B,bigC(a,a,b)))) )],[refute_0_6601,refute_0_6602]) ).

cnf(refute_0_6604,plain,
    bigC(c,B,product(product(b,a),c)) = product(c,product(B,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),product(product(c,B),product(c,bigC(a,a,b)))) )],[refute_0_6600,refute_0_6603]) ).

cnf(refute_0_6605,plain,
    bigC(c,B,product(product(b,a),c)) = bigC(c,B,product(product(b,a),c)),
    introduced(tautology,[refl,[$fot(bigC(c,B,product(product(b,a),c)))]]) ).

cnf(refute_0_6606,plain,
    ( bigC(c,B,product(product(b,a),c)) != bigC(c,B,product(product(b,a),c))
    | product(product(b,a),c) != product(c,product(c,a))
    | bigC(c,B,product(product(b,a),c)) = bigC(c,B,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),bigC(c,B,product(product(b,a),c))) ),[1,2],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6607,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | bigC(c,B,product(product(b,a),c)) = bigC(c,B,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),bigC(c,B,product(product(b,a),c))) )],[refute_0_6605,refute_0_6606]) ).

cnf(refute_0_6608,plain,
    bigC(c,B,product(product(b,a),c)) = bigC(c,B,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_6607]) ).

cnf(refute_0_6609,plain,
    ( bigC(c,B,product(product(b,a),c)) != bigC(c,B,product(c,product(c,a)))
    | bigC(c,B,product(product(b,a),c)) != product(c,product(B,bigC(a,a,b)))
    | bigC(c,B,product(c,product(c,a))) = product(c,product(B,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),product(c,product(B,bigC(a,a,b)))) ),[0],$fot(bigC(c,B,product(c,product(c,a))))]]) ).

cnf(refute_0_6610,plain,
    ( bigC(c,B,product(product(b,a),c)) != product(c,product(B,bigC(a,a,b)))
    | bigC(c,B,product(c,product(c,a))) = product(c,product(B,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),bigC(c,B,product(c,product(c,a)))) )],[refute_0_6608,refute_0_6609]) ).

cnf(refute_0_6611,plain,
    bigC(c,B,product(c,product(c,a))) = product(c,product(B,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(b,a),c)),product(c,product(B,bigC(a,a,b)))) )],[refute_0_6604,refute_0_6610]) ).

cnf(refute_0_6612,plain,
    bigC(c,product(c,a),product(c,product(c,a))) = product(c,product(product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_6611:[bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_6613,plain,
    ( bigC(c,product(c,a),product(c,product(c,a))) != product(c,product(product(c,a),bigC(a,a,b)))
    | product(c,product(product(c,a),bigC(a,a,b))) != product(c,bigC(c,a,product(c,a)))
    | bigC(c,product(c,a),product(c,product(c,a))) = product(c,bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,a),product(c,product(c,a))))),bind(Y,$fot(product(c,product(product(c,a),bigC(a,a,b))))),bind(Z,$fot(product(c,bigC(c,a,product(c,a)))))]]) ).

cnf(refute_0_6614,plain,
    ( product(c,product(product(c,a),bigC(a,a,b))) != product(c,bigC(c,a,product(c,a)))
    | bigC(c,product(c,a),product(c,product(c,a))) = product(c,bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,product(c,a))),product(c,product(product(c,a),bigC(a,a,b)))) )],[refute_0_6612,refute_0_6613]) ).

cnf(refute_0_6615,plain,
    bigC(c,product(c,a),product(c,product(c,a))) = product(c,bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),bigC(a,a,b))),product(c,bigC(c,a,product(c,a)))) )],[refute_0_6596,refute_0_6614]) ).

cnf(refute_0_6616,plain,
    ( bigC(c,product(c,a),product(c,product(c,a))) != product(c,bigC(c,a,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(c,product(c,a),product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(c,bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),bigC(c,product(c,a),product(c,product(c,a)))) ),[1],$fot(product(c,bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6617,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(c,product(c,a),product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(c,bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,product(c,a))),product(c,bigC(c,a,product(c,a)))) )],[refute_0_6615,refute_0_6616]) ).

cnf(refute_0_6618,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(c,bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),bigC(c,product(c,a),product(c,product(c,a)))) )],[refute_0_6591,refute_0_6617]) ).

cnf(refute_0_6619,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(c,bigC(c,a,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | product(c,bigC(c,a,product(c,a))) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) ),[0],$fot(product(c,bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6620,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | product(c,bigC(c,a,product(c,a))) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(c,bigC(c,a,product(c,a)))) )],[refute_0_6618,refute_0_6619]) ).

cnf(refute_0_6621,plain,
    ( product(c,product(c,product(c,a))) != bigC(a,b,product(b,a))
    | product(c,product(c,product(c,a))) != product(bigC(b,a,b),bigC(a,a,b))
    | bigC(a,b,product(b,a)) = product(bigC(b,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),product(bigC(b,a,b),bigC(a,a,b))) ),[0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_6622,plain,
    ( product(c,product(c,product(c,a))) != product(bigC(b,a,b),bigC(a,a,b))
    | bigC(a,b,product(b,a)) = product(bigC(b,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),bigC(a,b,product(b,a))) )],[refute_0_5975,refute_0_6621]) ).

cnf(refute_0_6623,plain,
    bigC(a,b,product(b,a)) = product(bigC(b,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_5422,refute_0_6622]) ).

cnf(refute_0_6624,plain,
    product(bigC(b,a,b),bigC(a,a,b)) = product(bigC(b,a,b),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_6625,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),bigC(a,a,b)) != product(bigC(b,a,b),bigC(a,a,b))
    | product(bigC(b,a,b),bigC(a,a,b)) = product(bigC(a,b,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_6626,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),bigC(a,a,b)) = product(bigC(a,b,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_6624,refute_0_6625]) ).

cnf(refute_0_6627,plain,
    product(bigC(b,a,b),bigC(a,a,b)) = product(bigC(a,b,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_6626]) ).

cnf(refute_0_6628,plain,
    ( bigC(a,b,product(b,a)) != product(bigC(b,a,b),bigC(a,a,b))
    | product(bigC(b,a,b),bigC(a,a,b)) != product(bigC(a,b,b),bigC(a,a,b))
    | bigC(a,b,product(b,a)) = product(bigC(a,b,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(b,a)),product(bigC(a,b,b),bigC(a,a,b))) ),[0],$fot(product(bigC(b,a,b),bigC(a,a,b)))]]) ).

cnf(refute_0_6629,plain,
    ( bigC(a,b,product(b,a)) != product(bigC(b,a,b),bigC(a,a,b))
    | bigC(a,b,product(b,a)) = product(bigC(a,b,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,b)),product(bigC(a,b,b),bigC(a,a,b))) )],[refute_0_6627,refute_0_6628]) ).

cnf(refute_0_6630,plain,
    bigC(a,b,product(b,a)) = product(bigC(a,b,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(bigC(b,a,b),bigC(a,a,b))) )],[refute_0_6623,refute_0_6629]) ).

cnf(refute_0_6631,plain,
    ( bigC(a,b,product(b,a)) != product(bigC(a,b,b),bigC(a,a,b))
    | product(bigC(a,b,b),bigC(a,a,b)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(b,a)))),bind(Y,$fot(product(bigC(a,b,b),bigC(a,a,b))))]]) ).

cnf(refute_0_6632,plain,
    product(bigC(a,b,b),bigC(a,a,b)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,a)),product(bigC(a,b,b),bigC(a,a,b))) )],[refute_0_6630,refute_0_6631]) ).

cnf(refute_0_6633,plain,
    product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_6634,plain,
    ( product(bigC(a,b,b),bigC(a,a,b)) != bigC(a,b,product(b,a))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,b,product(b,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) ),[1,0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_6635,plain,
    ( product(bigC(a,b,b),bigC(a,a,b)) != bigC(a,b,product(b,a))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,b,product(b,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6633,refute_0_6634]) ).

cnf(refute_0_6636,plain,
    product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,b,product(b,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,b,product(b,a))) )],[refute_0_6632,refute_0_6635]) ).

cnf(refute_0_6637,plain,
    ( product(c,bigC(c,a,product(c,a))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,b,product(b,a)),bigC(a,a,b))
    | product(c,bigC(c,a,product(c,a))) = product(bigC(a,b,product(b,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(c,a,product(c,a))),product(bigC(a,b,product(b,a)),bigC(a,a,b))) ),[0],$fot(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_6638,plain,
    ( product(c,bigC(c,a,product(c,a))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | product(c,bigC(c,a,product(c,a))) = product(bigC(a,b,product(b,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,b,product(b,a)),bigC(a,a,b))) )],[refute_0_6636,refute_0_6637]) ).

cnf(refute_0_6639,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))
    | product(c,bigC(c,a,product(c,a))) = product(bigC(a,b,product(b,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,product(c,a))),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6620,refute_0_6638]) ).

cnf(refute_0_6640,plain,
    product(c,bigC(c,a,product(c,a))) = product(bigC(a,b,product(b,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6559,refute_0_6639]) ).

cnf(refute_0_6641,plain,
    ( product(c,bigC(c,a,product(c,a))) != product(bigC(a,b,product(b,a)),bigC(a,a,b))
    | product(bigC(a,b,product(b,a)),bigC(a,a,b)) = product(c,bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(c,a,product(c,a))))),bind(Y,$fot(product(bigC(a,b,product(b,a)),bigC(a,a,b))))]]) ).

cnf(refute_0_6642,plain,
    product(bigC(a,b,product(b,a)),bigC(a,a,b)) = product(c,bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,a,product(c,a))),product(bigC(a,b,product(b,a)),bigC(a,a,b))) )],[refute_0_6640,refute_0_6641]) ).

cnf(refute_0_6643,plain,
    ( product(bigC(a,b,product(b,a)),bigC(a,a,b)) != product(c,bigC(c,a,product(c,a)))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,b,product(b,a)),bigC(a,a,b))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(c,bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)))),bind(Y,$fot(product(bigC(a,b,product(b,a)),bigC(a,a,b)))),bind(Z,$fot(product(c,bigC(c,a,product(c,a)))))]]) ).

cnf(refute_0_6644,plain,
    ( product(bigC(a,b,product(b,a)),bigC(a,a,b)) != product(c,bigC(c,a,product(c,a)))
    | product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(c,bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,b,product(b,a)),bigC(a,a,b))) )],[refute_0_6636,refute_0_6643]) ).

cnf(refute_0_6645,plain,
    product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) = product(c,bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),bigC(a,a,b)),product(c,bigC(c,a,product(c,a)))) )],[refute_0_6642,refute_0_6644]) ).

cnf(refute_0_6646,plain,
    product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_6647,plain,
    ( product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) != product(c,bigC(c,a,product(c,a)))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b))))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b))))) ),[1,0],$fot(product(c,bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6648,plain,
    ( product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)) != product(c,bigC(c,a,product(c,a)))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b))))) )],[refute_0_6646,refute_0_6647]) ).

cnf(refute_0_6649,plain,
    product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(c,bigC(c,a,product(c,a)))) )],[refute_0_6645,refute_0_6648]) ).

cnf(refute_0_6650,plain,
    ( product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(c,bigC(a,a,b),bigC(a,a,c))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b))))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,bigC(a,a,b),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))))),bind(Y,$fot(product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))))),bind(Z,$fot(bigC(c,bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_6651,plain,
    ( product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(c,bigC(a,a,b),bigC(a,a,c))
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,bigC(a,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b))))) )],[refute_0_6649,refute_0_6650]) ).

cnf(refute_0_6652,plain,
    product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) = bigC(c,bigC(a,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,a,product(c,a))),product(bigC(a,a,b),bigC(a,b,product(a,b)))),bigC(c,bigC(a,a,b),bigC(a,a,c))) )],[refute_0_6555,refute_0_6651]) ).

cnf(refute_0_6653,plain,
    ( product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(a,a,b)
    | product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(c,bigC(a,a,b),bigC(a,a,c))
    | bigC(c,bigC(a,a,b),bigC(a,a,c)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),bigC(a,a,b)) ),[0],$fot(bigC(c,bigC(a,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_6654,plain,
    ( product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))) != bigC(a,a,b)
    | bigC(c,bigC(a,a,b),bigC(a,a,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),bigC(c,bigC(a,a,b),bigC(a,a,c))) )],[refute_0_6652,refute_0_6653]) ).

cnf(refute_0_6655,plain,
    bigC(c,bigC(a,a,b),bigC(a,a,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,b,b),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),bigC(a,b,product(a,b)))),bigC(a,a,b)) )],[refute_0_6324,refute_0_6654]) ).

cnf(refute_0_6656,plain,
    ( bigC(c,bigC(a,a,b),bigC(a,a,c)) != bigC(a,a,b)
    | difference(product(c,bigC(a,a,b)),bigC(c,bigC(a,a,b),bigC(a,a,c))) != product(bigC(a,a,c),c)
    | difference(product(c,bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),bigC(c,bigC(a,a,b),bigC(a,a,c))),product(bigC(a,a,c),c)) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6657,plain,
    ( difference(product(c,bigC(a,a,b)),bigC(c,bigC(a,a,b),bigC(a,a,c))) != product(bigC(a,a,c),c)
    | difference(product(c,bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,a,b),bigC(a,a,c)),bigC(a,a,b)) )],[refute_0_6655,refute_0_6656]) ).

cnf(refute_0_6658,plain,
    difference(product(c,bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),bigC(c,bigC(a,a,b),bigC(a,a,c))),product(bigC(a,a,c),c)) )],[refute_0_6313,refute_0_6657]) ).

cnf(refute_0_6659,plain,
    ( difference(bigC(a,a,b),difference(product(c,bigC(a,a,b)),bigC(a,a,b))) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | difference(product(c,bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,a,c),c)
    | difference(bigC(a,a,b),product(bigC(a,a,c),c)) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),difference(product(c,bigC(a,a,b)),bigC(a,a,b))),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) ),[0,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_6660,plain,
    ( difference(bigC(a,a,b),difference(product(c,bigC(a,a,b)),bigC(a,a,b))) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | difference(bigC(a,a,b),product(bigC(a,a,c),c)) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,c),c)) )],[refute_0_6658,refute_0_6659]) ).

cnf(refute_0_6661,plain,
    difference(bigC(a,a,b),product(bigC(a,a,c),c)) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),difference(product(c,bigC(a,a,b)),bigC(a,a,b))),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) )],[refute_0_6312,refute_0_6660]) ).

cnf(refute_0_6662,plain,
    difference(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c))) = product(product(a,c),c),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,b,a))),bind(B,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_6663,plain,
    ( difference(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c))) != product(product(a,c),c)
    | product(bigC(a,b,a),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | difference(bigC(a,b,a),product(a,product(product(b,c),c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c))),product(product(a,c),c)) ),[0,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_6664,plain,
    ( difference(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c))) != product(product(a,c),c)
    | difference(bigC(a,b,a),product(a,product(product(b,c),c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(a,product(product(b,c),c))) )],[refute_0_6476,refute_0_6663]) ).

cnf(refute_0_6665,plain,
    difference(bigC(a,b,a),product(a,product(product(b,c),c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c))),product(product(a,c),c)) )],[refute_0_6662,refute_0_6664]) ).

cnf(refute_0_6666,plain,
    difference(bigC(a,b,a),product(a,product(product(b,c),c))) = difference(bigC(a,b,a),product(a,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,b,a),product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_6667,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | difference(bigC(a,b,a),product(a,product(product(b,c),c))) != difference(bigC(a,b,a),product(a,product(product(b,c),c)))
    | difference(bigC(a,b,a),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(a,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,a),product(a,product(product(b,c),c))),difference(bigC(a,b,a),product(a,product(product(b,c),c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6668,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | difference(bigC(a,b,a),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(a,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,a),product(a,product(product(b,c),c))),difference(bigC(a,b,a),product(a,product(product(b,c),c)))) )],[refute_0_6666,refute_0_6667]) ).

cnf(refute_0_6669,plain,
    difference(bigC(a,b,a),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(a,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_6668]) ).

cnf(refute_0_6670,plain,
    ( difference(bigC(a,b,a),product(a,product(product(b,c),c))) != difference(bigC(a,a,b),product(a,product(product(b,c),c)))
    | difference(bigC(a,b,a),product(a,product(product(b,c),c))) != product(product(a,c),c)
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,a),product(a,product(product(b,c),c))),product(product(a,c),c)) ),[0],$fot(difference(bigC(a,a,b),product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_6671,plain,
    ( difference(bigC(a,b,a),product(a,product(product(b,c),c))) != product(product(a,c),c)
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,a),product(a,product(product(b,c),c))),difference(bigC(a,a,b),product(a,product(product(b,c),c)))) )],[refute_0_6669,refute_0_6670]) ).

cnf(refute_0_6672,plain,
    difference(bigC(a,a,b),product(a,product(product(b,c),c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,a),product(a,product(product(b,c),c))),product(product(a,c),c)) )],[refute_0_6665,refute_0_6671]) ).

cnf(refute_0_6673,plain,
    ( difference(bigC(a,a,b),product(a,product(product(b,c),c))) != product(product(a,c),c)
    | product(product(a,c),c) != product(a,product(b,c))
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),product(a,product(b,c))) ),[0],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_6674,plain,
    ( difference(bigC(a,a,b),product(a,product(product(b,c),c))) != product(product(a,c),c)
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_6673]) ).

cnf(refute_0_6675,plain,
    difference(bigC(a,a,b),product(a,product(product(b,c),c))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),product(product(a,c),c)) )],[refute_0_6672,refute_0_6674]) ).

cnf(refute_0_6676,plain,
    difference(bigC(a,a,b),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(a,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_6677,plain,
    ( difference(bigC(a,a,b),product(a,product(product(b,c),c))) != difference(bigC(a,a,b),product(a,product(product(b,c),c)))
    | product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),difference(bigC(a,a,b),product(a,product(product(b,c),c)))) ),[1,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_6678,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),difference(bigC(a,a,b),product(a,product(product(b,c),c)))) )],[refute_0_6676,refute_0_6677]) ).

cnf(refute_0_6679,plain,
    difference(bigC(a,a,b),product(a,product(product(b,c),c))) = difference(bigC(a,a,b),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_6678]) ).

cnf(refute_0_6680,plain,
    ( difference(bigC(a,a,b),product(a,product(product(b,c),c))) != difference(bigC(a,a,b),product(bigC(a,a,c),c))
    | difference(bigC(a,a,b),product(a,product(product(b,c),c))) != product(a,product(b,c))
    | difference(bigC(a,a,b),product(bigC(a,a,c),c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),product(a,product(b,c))) ),[0],$fot(difference(bigC(a,a,b),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_6681,plain,
    ( difference(bigC(a,a,b),product(a,product(product(b,c),c))) != product(a,product(b,c))
    | difference(bigC(a,a,b),product(bigC(a,a,c),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),difference(bigC(a,a,b),product(bigC(a,a,c),c))) )],[refute_0_6679,refute_0_6680]) ).

cnf(refute_0_6682,plain,
    difference(bigC(a,a,b),product(bigC(a,a,c),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,product(product(b,c),c))),product(a,product(b,c))) )],[refute_0_6675,refute_0_6681]) ).

cnf(refute_0_6683,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,c),c)) != product(a,product(b,c))
    | difference(bigC(a,a,b),product(bigC(a,a,c),c)) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | product(a,product(b,c)) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,c),c)),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6684,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,c),c)) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | product(a,product(b,c)) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,c),c)),product(a,product(b,c))) )],[refute_0_6682,refute_0_6683]) ).

cnf(refute_0_6685,plain,
    quotient(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),bigC(a,a,b)) = product(bigC(a,a,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_738:[bind(X_79,$fot(bigC(a,a,b))),bind(X_80,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_6686,plain,
    bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6687,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b))
    | product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(c,a),b)
    | bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(product(product(c,a),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_6688,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(product(product(c,a),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_947,refute_0_6687]) ).

cnf(refute_0_6689,plain,
    bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = product(product(product(c,a),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(a,a,b))) )],[refute_0_6686,refute_0_6688]) ).

cnf(refute_0_6690,plain,
    bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6691,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(product(product(c,a),b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(product(c,a),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(product(product(c,a),b),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6692,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)) != product(product(product(c,a),b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(product(c,a),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_6690,refute_0_6691]) ).

cnf(refute_0_6693,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = product(product(product(c,a),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,bigC(c,a,b)),bigC(a,a,b)),product(product(product(c,a),b),bigC(a,a,b))) )],[refute_0_6689,refute_0_6692]) ).

cnf(refute_0_6694,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))))]]) ).

cnf(refute_0_6695,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) ),[1,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_6696,plain,
    ( bigC(b,b,bigC(c,a,b)) != bigC(b,b,c)
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b)))) )],[refute_0_6694,refute_0_6695]) ).

cnf(refute_0_6697,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,bigC(c,a,b)),bigC(b,b,c)) )],[refute_0_954,refute_0_6696]) ).

cnf(refute_0_6698,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(product(c,a),b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(product(product(c,a),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(product(c,a),b),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_6699,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(product(c,a),b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(product(product(c,a),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c))) )],[refute_0_6697,refute_0_6698]) ).

cnf(refute_0_6700,plain,
    product(product(product(c,a),b),bigC(a,a,b)) = product(product(product(c,a),b),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),b),bigC(a,a,b)))]]) ).

cnf(refute_0_6701,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),bigC(a,a,b)) != product(product(product(c,a),b),bigC(a,a,b))
    | product(product(product(c,a),b),bigC(a,a,b)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),b),bigC(a,a,b)),product(product(product(c,a),b),bigC(a,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_6702,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(product(c,a),b),bigC(a,a,b)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(a,a,b)),product(product(product(c,a),b),bigC(a,a,b))) )],[refute_0_6700,refute_0_6701]) ).

cnf(refute_0_6703,plain,
    product(product(product(c,a),b),bigC(a,a,b)) = product(product(c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_6702]) ).

cnf(refute_0_6704,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(product(product(c,a),b),bigC(a,a,b))
    | product(product(product(c,a),b),bigC(a,a,b)) != product(product(c,product(c,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(product(c,product(c,b)),bigC(a,a,b))) ),[0],$fot(product(product(product(c,a),b),bigC(a,a,b)))]]) ).

cnf(refute_0_6705,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(product(product(c,a),b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(a,a,b)),product(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_6703,refute_0_6704]) ).

cnf(refute_0_6706,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))) != product(product(product(c,a),b),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(product(product(c,a),b),bigC(a,a,b))) )],[refute_0_6699,refute_0_6705]) ).

cnf(refute_0_6707,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(product(c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,bigC(c,a,b))),product(product(product(c,a),b),bigC(a,a,b))) )],[refute_0_6693,refute_0_6706]) ).

cnf(refute_0_6708,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(bigC(c,a,c),bigC(b,b,c)),bigC(c,a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(c,a,c))),bind(X_22,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_6709,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != product(product(bigC(c,a,c),bigC(b,b,c)),bigC(c,a,c))
    | product(bigC(c,a,c),bigC(b,b,c)) != product(product(c,a),b)
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(product(c,a),b),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),product(product(bigC(c,a,c),bigC(b,b,c)),bigC(c,a,c))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_6710,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != product(product(bigC(c,a,c),bigC(b,b,c)),bigC(c,a,c))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(product(c,a),b),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(b,b,c)),product(product(c,a),b)) )],[refute_0_913,refute_0_6709]) ).

cnf(refute_0_6711,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(product(c,a),b),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),product(product(bigC(c,a,c),bigC(b,b,c)),bigC(c,a,c))) )],[refute_0_6708,refute_0_6710]) ).

cnf(refute_0_6712,plain,
    bigC(c,b,product(a,a)) = bigC(c,b,product(a,a)),
    introduced(tautology,[refl,[$fot(bigC(c,b,product(a,a)))]]) ).

cnf(refute_0_6713,plain,
    ( bigC(c,b,product(a,a)) != bigC(c,b,product(a,a))
    | product(a,a) != a
    | bigC(c,b,product(a,a)) = bigC(c,b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,product(a,a)),bigC(c,b,product(a,a))) ),[1,2],$fot(a)]]) ).

cnf(refute_0_6714,plain,
    ( product(a,a) != a
    | bigC(c,b,product(a,a)) = bigC(c,b,a) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,a)),bigC(c,b,product(a,a))) )],[refute_0_6712,refute_0_6713]) ).

cnf(refute_0_6715,plain,
    bigC(c,b,product(a,a)) = bigC(c,b,a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_6714]) ).

cnf(refute_0_6716,plain,
    bigC(product(c,c),b,product(a,a)) = bigC(product(c,c),b,product(a,a)),
    introduced(tautology,[refl,[$fot(bigC(product(c,c),b,product(a,a)))]]) ).

cnf(refute_0_6717,plain,
    ( bigC(product(c,c),b,product(a,a)) != bigC(product(c,c),b,product(a,a))
    | product(c,c) != c
    | bigC(product(c,c),b,product(a,a)) = bigC(c,b,product(a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,c),b,product(a,a)),bigC(product(c,c),b,product(a,a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_6718,plain,
    ( product(c,c) != c
    | bigC(product(c,c),b,product(a,a)) = bigC(c,b,product(a,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(a,a)),bigC(product(c,c),b,product(a,a))) )],[refute_0_6716,refute_0_6717]) ).

cnf(refute_0_6719,plain,
    bigC(product(c,c),b,product(a,a)) = bigC(c,b,product(a,a)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_6718]) ).

cnf(refute_0_6720,plain,
    ( bigC(c,b,product(a,a)) != bigC(c,b,a)
    | bigC(product(c,c),b,product(a,a)) != bigC(c,b,product(a,a))
    | bigC(product(c,c),b,product(a,a)) = bigC(c,b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,c),b,product(a,a)))),bind(Y,$fot(bigC(c,b,product(a,a)))),bind(Z,$fot(bigC(c,b,a)))]]) ).

cnf(refute_0_6721,plain,
    ( bigC(c,b,product(a,a)) != bigC(c,b,a)
    | bigC(product(c,c),b,product(a,a)) = bigC(c,b,a) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(a,a)),bigC(c,b,product(a,a))) )],[refute_0_6719,refute_0_6720]) ).

cnf(refute_0_6722,plain,
    bigC(product(c,c),b,product(a,a)) = bigC(c,b,a),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,a)),bigC(c,b,a)) )],[refute_0_6715,refute_0_6721]) ).

cnf(refute_0_6723,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(product(c,c),b,product(a,a)) != bigC(c,b,a)
    | bigC(product(c,c),b,product(a,a)) = bigC(c,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,c),b,product(a,a)))),bind(Y,$fot(bigC(c,b,a))),bind(Z,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_6724,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(product(c,c),b,product(a,a)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(a,a)),bigC(c,b,a)) )],[refute_0_6722,refute_0_6723]) ).

cnf(refute_0_6725,plain,
    bigC(product(c,c),b,product(a,a)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_6724]) ).

cnf(refute_0_6726,plain,
    bigC(product(c,c),product(a,a),b) = bigC(product(c,c),b,product(a,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,c))),bind(B,$fot(b)),bind(C,$fot(product(a,a)))]]) ).

cnf(refute_0_6727,plain,
    product(product(product(c,a),b),bigC(c,a,c)) = bigC(product(c,c),product(a,a),b),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(b)),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_6728,plain,
    ( bigC(product(c,c),product(a,a),b) != bigC(product(c,c),b,product(a,a))
    | product(product(product(c,a),b),bigC(c,a,c)) != bigC(product(c,c),product(a,a),b)
    | product(product(product(c,a),b),bigC(c,a,c)) = bigC(product(c,c),b,product(a,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),bigC(c,a,c)))),bind(Y,$fot(bigC(product(c,c),product(a,a),b))),bind(Z,$fot(bigC(product(c,c),b,product(a,a))))]]) ).

cnf(refute_0_6729,plain,
    ( bigC(product(c,c),product(a,a),b) != bigC(product(c,c),b,product(a,a))
    | product(product(product(c,a),b),bigC(c,a,c)) = bigC(product(c,c),b,product(a,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(c,a,c)),bigC(product(c,c),product(a,a),b)) )],[refute_0_6727,refute_0_6728]) ).

cnf(refute_0_6730,plain,
    product(product(product(c,a),b),bigC(c,a,c)) = bigC(product(c,c),b,product(a,a)),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),product(a,a),b),bigC(product(c,c),b,product(a,a))) )],[refute_0_6726,refute_0_6729]) ).

cnf(refute_0_6731,plain,
    ( bigC(product(c,c),b,product(a,a)) != bigC(c,a,b)
    | product(product(product(c,a),b),bigC(c,a,c)) != bigC(product(c,c),b,product(a,a))
    | product(product(product(c,a),b),bigC(c,a,c)) = bigC(c,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),bigC(c,a,c)))),bind(Y,$fot(bigC(product(c,c),b,product(a,a)))),bind(Z,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_6732,plain,
    ( bigC(product(c,c),b,product(a,a)) != bigC(c,a,b)
    | product(product(product(c,a),b),bigC(c,a,c)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(c,a,c)),bigC(product(c,c),b,product(a,a))) )],[refute_0_6730,refute_0_6731]) ).

cnf(refute_0_6733,plain,
    product(product(product(c,a),b),bigC(c,a,c)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,c),b,product(a,a)),bigC(c,a,b)) )],[refute_0_6725,refute_0_6732]) ).

cnf(refute_0_6734,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != product(product(product(c,a),b),bigC(c,a,c))
    | product(product(product(c,a),b),bigC(c,a,c)) != bigC(c,a,b)
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,b)) ),[0],$fot(product(product(product(c,a),b),bigC(c,a,c)))]]) ).

cnf(refute_0_6735,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != product(product(product(c,a),b),bigC(c,a,c))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),bigC(c,a,c)),bigC(c,a,b)) )],[refute_0_6733,refute_0_6734]) ).

cnf(refute_0_6736,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),product(product(product(c,a),b),bigC(c,a,c))) )],[refute_0_6711,refute_0_6735]) ).

cnf(refute_0_6737,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(c,a,b)
    | bigC(c,a,b) != c
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),c) ),[0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_6738,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(c,a,b)
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_6737]) ).

cnf(refute_0_6739,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = c,
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(c,a,b)) )],[refute_0_6736,refute_0_6738]) ).

cnf(refute_0_6740,plain,
    bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_6741,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(product(c,product(c,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c))
    | bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)))),bind(Z,$fot(product(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_6742,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(product(c,product(c,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c))) )],[refute_0_6740,refute_0_6741]) ).

cnf(refute_0_6743,plain,
    bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) = product(product(c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_6707,refute_0_6742]) ).

cnf(refute_0_6744,plain,
    bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)))]]) ).

cnf(refute_0_6745,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) != bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c))
    | bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c))) ),[1,2],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6746,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c))) )],[refute_0_6744,refute_0_6745]) ).

cnf(refute_0_6747,plain,
    bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_6746]) ).

cnf(refute_0_6748,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)))]]) ).

cnf(refute_0_6749,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))
    | bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6750,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c))) )],[refute_0_6748,refute_0_6749]) ).

cnf(refute_0_6751,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_6750]) ).

cnf(refute_0_6752,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) != bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)))),bind(Z,$fot(bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_6753,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)) != bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c))) )],[refute_0_6751,refute_0_6752]) ).

cnf(refute_0_6754,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b))) )],[refute_0_6747,refute_0_6753]) ).

cnf(refute_0_6755,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) != product(product(c,product(c,b)),bigC(a,a,b))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)))),bind(Z,$fot(product(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_6756,plain,
    ( bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)) != product(product(c,product(c,b)),bigC(a,a,b))
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b))) )],[refute_0_6754,refute_0_6755]) ).

cnf(refute_0_6757,plain,
    bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) = product(product(c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(b,b,c),bigC(a,a,b)),product(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_6743,refute_0_6756]) ).

cnf(refute_0_6758,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != c
    | bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != product(product(c,product(c,b)),bigC(a,a,b))
    | product(product(c,product(c,b)),bigC(a,a,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),c) ),[0],$fot(product(product(c,product(c,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_6759,plain,
    ( bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)) != c
    | product(product(c,product(c,b)),bigC(a,a,b)) = c ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),product(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_6757,refute_0_6758]) ).

cnf(refute_0_6760,plain,
    product(product(c,product(c,b)),bigC(a,a,b)) = c,
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(b,b,c),bigC(c,a,c)),c) )],[refute_0_6739,refute_0_6759]) ).

cnf(refute_0_6761,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(product(c,product(c,b)),bigC(a,a,b))
    | product(product(c,product(c,b)),bigC(a,a,b)) != c
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),c) ),[0],$fot(product(product(c,product(c,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_6762,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(product(c,product(c,b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,a,b)),c) )],[refute_0_6760,refute_0_6761]) ).

cnf(refute_0_6763,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = c,
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(product(c,product(c,b)),bigC(a,a,b))) )],[refute_0_6707,refute_0_6762]) ).

cnf(refute_0_6764,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != c
    | quotient(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),bigC(a,a,b)) != product(bigC(a,a,b),bigC(b,b,c))
    | quotient(c,bigC(a,a,b)) = product(bigC(a,a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),bigC(a,a,b)),product(bigC(a,a,b),bigC(b,b,c))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_6765,plain,
    ( quotient(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),bigC(a,a,b)) != product(bigC(a,a,b),bigC(b,b,c))
    | quotient(c,bigC(a,a,b)) = product(bigC(a,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),c) )],[refute_0_6763,refute_0_6764]) ).

cnf(refute_0_6766,plain,
    quotient(c,bigC(a,a,b)) = product(bigC(a,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),bigC(a,a,b)),product(bigC(a,a,b),bigC(b,b,c))) )],[refute_0_6685,refute_0_6765]) ).

cnf(refute_0_6767,plain,
    bigC(b,c,a) = bigC(b,a,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_6768,plain,
    ( bigC(b,a,c) != c
    | bigC(b,c,a) != bigC(b,a,c)
    | bigC(b,c,a) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,c,a))),bind(Y,$fot(bigC(b,a,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_6769,plain,
    ( bigC(b,a,c) != c
    | bigC(b,c,a) = c ),
    inference(resolve,[$cnf( $equal(bigC(b,c,a),bigC(b,a,c)) )],[refute_0_6767,refute_0_6768]) ).

cnf(refute_0_6770,plain,
    bigC(b,c,a) = c,
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_6769]) ).

cnf(refute_0_6771,plain,
    product(product(a,b),bigC(b,c,a)) = product(product(a,b),bigC(b,c,a)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(b,c,a)))]]) ).

cnf(refute_0_6772,plain,
    ( bigC(b,c,a) != c
    | product(product(a,b),bigC(b,c,a)) != product(product(a,b),bigC(b,c,a))
    | product(product(a,b),bigC(b,c,a)) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,c,a)),product(product(a,b),bigC(b,c,a))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6773,plain,
    ( bigC(b,c,a) != c
    | product(product(a,b),bigC(b,c,a)) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,c,a)),product(product(a,b),bigC(b,c,a))) )],[refute_0_6771,refute_0_6772]) ).

cnf(refute_0_6774,plain,
    product(product(a,b),bigC(b,c,a)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(bigC(b,c,a),c) )],[refute_0_6770,refute_0_6773]) ).

cnf(refute_0_6775,plain,
    ( product(product(a,b),bigC(b,c,a)) != product(product(a,b),c)
    | product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),bigC(b,c,a)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),bigC(b,c,a)))),bind(Y,$fot(product(product(a,b),c))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_6776,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),bigC(b,c,a)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,c,a)),product(product(a,b),c)) )],[refute_0_6774,refute_0_6775]) ).

cnf(refute_0_6777,plain,
    product(product(a,b),bigC(b,c,a)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_6776]) ).

cnf(refute_0_6778,plain,
    product(bigC(a,a,b),bigC(b,b,c)) = product(product(a,b),bigC(b,c,a)),
    inference(subst,[],[refute_0_1149:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(a))]]) ).

cnf(refute_0_6779,plain,
    ( product(bigC(a,a,b),bigC(b,b,c)) != product(product(a,b),bigC(b,c,a))
    | product(product(a,b),bigC(b,c,a)) != product(c,product(c,b))
    | product(bigC(a,a,b),bigC(b,b,c)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),bigC(b,b,c)))),bind(Y,$fot(product(product(a,b),bigC(b,c,a)))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_6780,plain,
    ( product(product(a,b),bigC(b,c,a)) != product(c,product(c,b))
    | product(bigC(a,a,b),bigC(b,b,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,c)),product(product(a,b),bigC(b,c,a))) )],[refute_0_6778,refute_0_6779]) ).

cnf(refute_0_6781,plain,
    product(bigC(a,a,b),bigC(b,b,c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,c,a)),product(c,product(c,b))) )],[refute_0_6777,refute_0_6780]) ).

cnf(refute_0_6782,plain,
    ( product(bigC(a,a,b),bigC(b,b,c)) != product(c,product(c,b))
    | quotient(c,bigC(a,a,b)) != product(bigC(a,a,b),bigC(b,b,c))
    | quotient(c,bigC(a,a,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(b,b,c))) ),[1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_6783,plain,
    ( quotient(c,bigC(a,a,b)) != product(bigC(a,a,b),bigC(b,b,c))
    | quotient(c,bigC(a,a,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,c)),product(c,product(c,b))) )],[refute_0_6781,refute_0_6782]) ).

cnf(refute_0_6784,plain,
    quotient(c,bigC(a,a,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(b,b,c))) )],[refute_0_6766,refute_0_6783]) ).

cnf(refute_0_6785,plain,
    product(bigC(a,a,b),quotient(c,bigC(a,a,b))) = product(bigC(a,a,b),quotient(c,bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),quotient(c,bigC(a,a,b))))]]) ).

cnf(refute_0_6786,plain,
    ( product(bigC(a,a,b),quotient(c,bigC(a,a,b))) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | quotient(c,bigC(a,a,b)) != product(c,product(c,b))
    | product(bigC(a,a,b),quotient(c,bigC(a,a,b))) = product(bigC(a,a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),quotient(c,bigC(a,a,b))),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_6787,plain,
    ( quotient(c,bigC(a,a,b)) != product(c,product(c,b))
    | product(bigC(a,a,b),quotient(c,bigC(a,a,b))) = product(bigC(a,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(c,bigC(a,a,b))),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) )],[refute_0_6785,refute_0_6786]) ).

cnf(refute_0_6788,plain,
    product(bigC(a,a,b),quotient(c,bigC(a,a,b))) = product(bigC(a,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,b)),product(c,product(c,b))) )],[refute_0_6784,refute_0_6787]) ).

cnf(refute_0_6789,plain,
    ( product(a,product(b,c)) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | product(bigC(a,a,b),quotient(c,bigC(a,a,b))) != product(bigC(a,a,b),product(c,product(c,b)))
    | product(a,product(b,c)) = product(bigC(a,a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,c)),product(bigC(a,a,b),product(c,product(c,b)))) ),[0],$fot(product(bigC(a,a,b),quotient(c,bigC(a,a,b))))]]) ).

cnf(refute_0_6790,plain,
    ( product(a,product(b,c)) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | product(a,product(b,c)) = product(bigC(a,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(c,bigC(a,a,b))),product(bigC(a,a,b),product(c,product(c,b)))) )],[refute_0_6788,refute_0_6789]) ).

cnf(refute_0_6791,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,c),c)) != product(bigC(a,a,b),quotient(c,bigC(a,a,b)))
    | product(a,product(b,c)) = product(bigC(a,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) )],[refute_0_6684,refute_0_6790]) ).

cnf(refute_0_6792,plain,
    product(a,product(b,c)) = product(bigC(a,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,c),c)),product(bigC(a,a,b),quotient(c,bigC(a,a,b)))) )],[refute_0_6661,refute_0_6791]) ).

cnf(refute_0_6793,plain,
    ( product(a,product(b,c)) != product(bigC(a,a,b),product(c,product(c,b)))
    | product(bigC(a,a,b),product(c,product(c,b))) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(bigC(a,a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_6794,plain,
    product(bigC(a,a,b),product(c,product(c,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(bigC(a,a,b),product(c,product(c,b)))) )],[refute_0_6792,refute_0_6793]) ).

cnf(refute_0_6795,plain,
    ( product(bigC(a,a,b),product(c,product(c,b))) != product(a,product(b,c))
    | quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(c,product(c,b)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(c,product(c,b)))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) ),[0,0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6796,plain,
    ( quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(c,product(c,b)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,product(c,b))),product(a,product(b,c))) )],[refute_0_6794,refute_0_6795]) ).

cnf(refute_0_6797,plain,
    quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(c,product(c,b)))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_6311,refute_0_6796]) ).

cnf(refute_0_6798,plain,
    quotient(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)) = product(product(c,b),a),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_6799,plain,
    ( product(product(product(c,b),a),product(product(a,c),c)) != quotient(product(a,c),product(a,product(c,b)))
    | quotient(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)),product(product(c,b),a)) ),[0,0],$fot(quotient(product(a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_6800,plain,
    ( quotient(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),quotient(product(a,c),product(a,product(c,b)))) )],[refute_0_5437,refute_0_6799]) ).

cnf(refute_0_6801,plain,
    quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),a),product(product(a,c),c)),product(product(a,c),c)),product(product(c,b),a)) )],[refute_0_6798,refute_0_6800]) ).

cnf(refute_0_6802,plain,
    quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)))]]) ).

cnf(refute_0_6803,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) != quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))
    | quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) ),[1,0],$fot(product(bigC(c,b,a),product(a,c)))]]) ).

cnf(refute_0_6804,plain,
    ( quotient(product(a,c),product(a,product(c,b))) != product(bigC(c,b,a),product(a,c))
    | quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c))) )],[refute_0_6802,refute_0_6803]) ).

cnf(refute_0_6805,plain,
    quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) = quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(c,b))),product(bigC(c,b,a),product(a,c))) )],[refute_0_559,refute_0_6804]) ).

cnf(refute_0_6806,plain,
    ( quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) != quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),product(product(c,b),a)) ),[0],$fot(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6807,plain,
    ( quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) )],[refute_0_6805,refute_0_6806]) ).

cnf(refute_0_6808,plain,
    quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(c,b))),product(product(a,c),c)),product(product(c,b),a)) )],[refute_0_6801,refute_0_6807]) ).

cnf(refute_0_6809,plain,
    quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6810,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))
    | quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) ),[1,0],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_6811,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c))) )],[refute_0_6809,refute_0_6810]) ).

cnf(refute_0_6812,plain,
    quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2589,refute_0_6811]) ).

cnf(refute_0_6813,plain,
    ( quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),product(product(c,b),a)) ),[0],$fot(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6814,plain,
    ( quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6812,refute_0_6813]) ).

cnf(refute_0_6815,plain,
    quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),product(a,c)),product(product(a,c),c)),product(product(c,b),a)) )],[refute_0_6808,refute_0_6814]) ).

cnf(refute_0_6816,plain,
    quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_6817,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))
    | quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_6818,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c))) )],[refute_0_6816,refute_0_6817]) ).

cnf(refute_0_6819,plain,
    quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) = quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_6818]) ).

cnf(refute_0_6820,plain,
    ( quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))
    | quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(c,b),a)) ),[0],$fot(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))))]]) ).

cnf(refute_0_6821,plain,
    ( quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)) != product(product(c,b),a)
    | quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))) )],[refute_0_6819,refute_0_6820]) ).

cnf(refute_0_6822,plain,
    quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(product(a,c),c)),product(product(c,b),a)) )],[refute_0_6815,refute_0_6821]) ).

cnf(refute_0_6823,plain,
    quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))))]]) ).

cnf(refute_0_6824,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))
    | quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = quotient(bigC(c,a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_6825,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = quotient(bigC(c,a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c)))) )],[refute_0_6823,refute_0_6824]) ).

cnf(refute_0_6826,plain,
    quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) = quotient(bigC(c,a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_2602,refute_0_6825]) ).

cnf(refute_0_6827,plain,
    ( quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != product(product(c,b),a)
    | quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != quotient(bigC(c,a,c),product(a,product(b,c)))
    | quotient(bigC(c,a,c),product(a,product(b,c))) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),product(product(c,b),a)) ),[0],$fot(quotient(bigC(c,a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_6828,plain,
    ( quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))) != product(product(c,b),a)
    | quotient(bigC(c,a,c),product(a,product(b,c))) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),quotient(bigC(c,a,c),product(a,product(b,c)))) )],[refute_0_6826,refute_0_6827]) ).

cnf(refute_0_6829,plain,
    quotient(bigC(c,a,c),product(a,product(b,c))) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),product(a,c)),product(a,product(b,c))),product(product(c,b),a)) )],[refute_0_6822,refute_0_6828]) ).

cnf(refute_0_6830,plain,
    quotient(bigC(c,a,c),product(a,product(b,c))) = quotient(bigC(c,a,c),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_6831,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(bigC(c,a,c),product(a,product(b,c))) != quotient(bigC(c,a,c),product(a,product(b,c)))
    | quotient(bigC(c,a,c),product(a,product(b,c))) = quotient(bigC(a,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),quotient(bigC(c,a,c),product(a,product(b,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6832,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | quotient(bigC(c,a,c),product(a,product(b,c))) = quotient(bigC(a,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),quotient(bigC(c,a,c),product(a,product(b,c)))) )],[refute_0_6830,refute_0_6831]) ).

cnf(refute_0_6833,plain,
    quotient(bigC(c,a,c),product(a,product(b,c))) = quotient(bigC(a,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_6832]) ).

cnf(refute_0_6834,plain,
    ( quotient(bigC(c,a,c),product(a,product(b,c))) != product(product(c,b),a)
    | quotient(bigC(c,a,c),product(a,product(b,c))) != quotient(bigC(a,a,b),product(a,product(b,c)))
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),product(product(c,b),a)) ),[0],$fot(quotient(bigC(a,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_6835,plain,
    ( quotient(bigC(c,a,c),product(a,product(b,c))) != product(product(c,b),a)
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),quotient(bigC(a,a,b),product(a,product(b,c)))) )],[refute_0_6833,refute_0_6834]) ).

cnf(refute_0_6836,plain,
    quotient(bigC(a,a,b),product(a,product(b,c))) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,a,c),product(a,product(b,c))),product(product(c,b),a)) )],[refute_0_6829,refute_0_6835]) ).

cnf(refute_0_6837,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | quotient(bigC(a,a,b),product(a,product(b,c))) != product(product(c,b),a)
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),product(product(c,b),a)) ),[1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6838,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != product(product(c,b),a)
    | quotient(bigC(a,a,b),product(a,product(b,c))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_6837]) ).

cnf(refute_0_6839,plain,
    quotient(bigC(a,a,b),product(a,product(b,c))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),product(product(c,b),a)) )],[refute_0_6836,refute_0_6838]) ).

cnf(refute_0_6840,plain,
    quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)))]]) ).

cnf(refute_0_6841,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != product(c,product(c,a))
    | quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) != quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b))
    | quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = quotient(product(c,product(c,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6842,plain,
    ( quotient(bigC(a,a,b),product(a,product(b,c))) != product(c,product(c,a))
    | quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = quotient(product(c,product(c,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b))) )],[refute_0_6840,refute_0_6841]) ).

cnf(refute_0_6843,plain,
    quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) = quotient(product(c,product(c,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,product(b,c))),product(c,product(c,a))) )],[refute_0_6839,refute_0_6842]) ).

cnf(refute_0_6844,plain,
    ( quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) != quotient(product(c,product(c,a)),bigC(a,a,b))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) ),[0],$fot(quotient(product(c,product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_6845,plain,
    ( quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)),quotient(product(c,product(c,a)),bigC(a,a,b))) )],[refute_0_6843,refute_0_6844]) ).

cnf(refute_0_6846,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) = product(product(b,bigC(c,a,b)),c),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_6847,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) != product(product(b,bigC(c,a,b)),c)
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | difference(bigC(a,a,b),bigC(c,a,b)) = product(product(b,bigC(c,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))),product(product(b,bigC(c,a,b)),c)) ),[0,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_6848,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) != product(product(b,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),bigC(c,a,b)) = product(product(b,bigC(c,a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) )],[refute_0_4537,refute_0_6847]) ).

cnf(refute_0_6849,plain,
    difference(bigC(a,a,b),bigC(c,a,b)) = product(product(b,bigC(c,a,b)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))),product(product(b,bigC(c,a,b)),c)) )],[refute_0_6846,refute_0_6848]) ).

cnf(refute_0_6850,plain,
    difference(bigC(a,a,b),bigC(c,a,b)) = difference(bigC(a,a,b),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),bigC(c,a,b)))]]) ).

cnf(refute_0_6851,plain,
    ( bigC(c,a,b) != c
    | difference(bigC(a,a,b),bigC(c,a,b)) != difference(bigC(a,a,b),bigC(c,a,b))
    | difference(bigC(a,a,b),bigC(c,a,b)) = difference(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(c,a,b)),difference(bigC(a,a,b),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6852,plain,
    ( bigC(c,a,b) != c
    | difference(bigC(a,a,b),bigC(c,a,b)) = difference(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(c,a,b)),difference(bigC(a,a,b),bigC(c,a,b))) )],[refute_0_6850,refute_0_6851]) ).

cnf(refute_0_6853,plain,
    difference(bigC(a,a,b),bigC(c,a,b)) = difference(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_6852]) ).

cnf(refute_0_6854,plain,
    ( difference(bigC(a,a,b),bigC(c,a,b)) != difference(bigC(a,a,b),c)
    | difference(bigC(a,a,b),bigC(c,a,b)) != product(product(b,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),c) = product(product(b,bigC(c,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(c,a,b)),product(product(b,bigC(c,a,b)),c)) ),[0],$fot(difference(bigC(a,a,b),c))]]) ).

cnf(refute_0_6855,plain,
    ( difference(bigC(a,a,b),bigC(c,a,b)) != product(product(b,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),c) = product(product(b,bigC(c,a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(c,a,b)),difference(bigC(a,a,b),c)) )],[refute_0_6853,refute_0_6854]) ).

cnf(refute_0_6856,plain,
    ( difference(bigC(a,a,b),c) != product(product(b,bigC(c,a,b)),c)
    | product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | difference(bigC(a,a,b),c) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),c),product(product(b,c),c)) ),[0],$fot(product(product(b,bigC(c,a,b)),c))]]) ).

cnf(refute_0_6857,plain,
    ( difference(bigC(a,a,b),c) != product(product(b,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),c) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_4556,refute_0_6856]) ).

cnf(refute_0_6858,plain,
    ( difference(bigC(a,a,b),bigC(c,a,b)) != product(product(b,bigC(c,a,b)),c)
    | difference(bigC(a,a,b),c) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),c),product(product(b,bigC(c,a,b)),c)) )],[refute_0_6855,refute_0_6857]) ).

cnf(refute_0_6859,plain,
    difference(bigC(a,a,b),c) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(c,a,b)),product(product(b,bigC(c,a,b)),c)) )],[refute_0_6849,refute_0_6858]) ).

cnf(refute_0_6860,plain,
    ( difference(bigC(a,a,b),c) != product(product(b,c),c)
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(bigC(a,a,b),c) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),c),product(b,product(a,c))) ),[0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_6861,plain,
    ( difference(bigC(a,a,b),c) != product(product(b,c),c)
    | difference(bigC(a,a,b),c) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_6860]) ).

cnf(refute_0_6862,plain,
    difference(bigC(a,a,b),c) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),c),product(product(b,c),c)) )],[refute_0_6859,refute_0_6861]) ).

cnf(refute_0_6863,plain,
    difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_6864,plain,
    ( difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | product(product(c,product(c,b)),bigC(a,a,b)) != c
    | difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = difference(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6865,plain,
    ( product(product(c,product(c,b)),bigC(a,a,b)) != c
    | difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = difference(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_6863,refute_0_6864]) ).

cnf(refute_0_6866,plain,
    difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = difference(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,a,b)),c) )],[refute_0_6760,refute_0_6865]) ).

cnf(refute_0_6867,plain,
    ( difference(bigC(a,a,b),c) != product(b,product(a,c))
    | difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) != difference(bigC(a,a,b),c)
    | difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = product(b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))))),bind(Y,$fot(difference(bigC(a,a,b),c))),bind(Z,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_6868,plain,
    ( difference(bigC(a,a,b),c) != product(b,product(a,c))
    | difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),difference(bigC(a,a,b),c)) )],[refute_0_6866,refute_0_6867]) ).

cnf(refute_0_6869,plain,
    difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),c),product(b,product(a,c))) )],[refute_0_6862,refute_0_6868]) ).

cnf(refute_0_6870,plain,
    ( difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))) != product(b,product(a,c))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,a)),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) ),[1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_6871,plain,
    ( quotient(product(c,product(c,a)),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b))),product(b,product(a,c))) )],[refute_0_6869,refute_0_6870]) ).

cnf(refute_0_6872,plain,
    ( quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_6845,refute_0_6871]) ).

cnf(refute_0_6873,plain,
    quotient(product(c,product(c,a)),bigC(a,a,b)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,product(b,c))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,product(c,b)),bigC(a,a,b)))) )],[refute_0_6797,refute_0_6872]) ).

cnf(refute_0_6874,plain,
    ( difference(quotient(product(c,product(c,a)),bigC(a,a,b)),product(c,product(c,a))) != bigC(a,a,b)
    | quotient(product(c,product(c,a)),bigC(a,a,b)) != product(b,product(a,c))
    | difference(product(b,product(a,c)),product(c,product(c,a))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(c,product(c,a)),bigC(a,a,b)),product(c,product(c,a))),bigC(a,a,b)) ),[0,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_6875,plain,
    ( difference(quotient(product(c,product(c,a)),bigC(a,a,b)),product(c,product(c,a))) != bigC(a,a,b)
    | difference(product(b,product(a,c)),product(c,product(c,a))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_6873,refute_0_6874]) ).

cnf(refute_0_6876,plain,
    difference(product(b,product(a,c)),product(c,product(c,a))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(quotient(product(c,product(c,a)),bigC(a,a,b)),product(c,product(c,a))),bigC(a,a,b)) )],[refute_0_6310,refute_0_6875]) ).

cnf(refute_0_6877,plain,
    ( difference(product(b,product(a,c)),product(c,product(c,a))) != bigC(a,a,b)
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(difference(product(b,product(a,c)),product(c,product(c,a))),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),product(difference(product(b,product(a,c)),product(c,product(c,a))),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6878,plain,
    ( difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(difference(product(b,product(a,c)),product(c,product(c,a))),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(c,product(c,a))),bigC(a,a,b)) )],[refute_0_6876,refute_0_6877]) ).

cnf(refute_0_6879,plain,
    difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),product(difference(product(b,product(a,c)),product(c,product(c,a))),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) )],[refute_0_6309,refute_0_6878]) ).

cnf(refute_0_6880,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,a)),bigC(a,a,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(c,product(c,a)))),bind(X_20,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6881,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,a)),bigC(a,a,b))))
    | quotient(product(c,product(c,a)),bigC(a,a,b)) != product(b,product(a,c))
    | difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,a)),bigC(a,a,b))))) ),[1,1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_6882,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,a)),bigC(a,a,b))))
    | difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_6873,refute_0_6881]) ).

cnf(refute_0_6883,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,product(c,a)),bigC(a,a,b))))) )],[refute_0_6880,refute_0_6882]) ).

cnf(refute_0_6884,plain,
    product(product(c,product(c,a)),bigC(a,a,b)) = bigC(c,product(c,a),product(c,a)),
    inference(subst,[],[refute_0_6577:[bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_6885,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_6886,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b))
    | product(product(c,product(c,a)),bigC(a,a,b)) != bigC(c,product(c,a),product(c,a))
    | difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b))) ),[1,0],$fot(bigC(c,product(c,a),product(c,a)))]]) ).

cnf(refute_0_6887,plain,
    ( product(product(c,product(c,a)),bigC(a,a,b)) != bigC(c,product(c,a),product(c,a))
    | difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_6885,refute_0_6886]) ).

cnf(refute_0_6888,plain,
    difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) = difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,b)),bigC(c,product(c,a),product(c,a))) )],[refute_0_6884,refute_0_6887]) ).

cnf(refute_0_6889,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b))
    | difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))) ),[0],$fot(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_6890,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b))) )],[refute_0_6888,refute_0_6889]) ).

cnf(refute_0_6891,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(bigC(a,a,b),product(bigC(b,b,c),bigC(a,a,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(a,a,b))),bind(X_23,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_6892,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(bigC(a,a,b),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(b,b,c),bigC(a,a,b)) != product(b,product(a,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(bigC(a,a,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(bigC(a,a,b),product(bigC(b,b,c),bigC(a,a,b)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_6893,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(bigC(a,a,b),product(bigC(b,b,c),bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(bigC(a,a,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_3297,refute_0_6892]) ).

cnf(refute_0_6894,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) = product(bigC(a,a,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(bigC(a,a,b),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_6891,refute_0_6893]) ).

cnf(refute_0_6895,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != c
    | bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(bigC(a,a,b),product(b,product(a,c)))
    | c = product(bigC(a,a,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(bigC(a,a,b),product(b,product(a,c)))) ),[0],$fot(c)]]) ).

cnf(refute_0_6896,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)) != product(bigC(a,a,b),product(b,product(a,c)))
    | c = product(bigC(a,a,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),c) )],[refute_0_6763,refute_0_6895]) ).

cnf(refute_0_6897,plain,
    c = product(bigC(a,a,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),bigC(b,b,c)),product(bigC(a,a,b),product(b,product(a,c)))) )],[refute_0_6894,refute_0_6896]) ).

cnf(refute_0_6898,plain,
    ( c != product(bigC(a,a,b),product(b,product(a,c)))
    | product(bigC(a,a,b),product(b,product(a,c))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(product(bigC(a,a,b),product(b,product(a,c)))))]]) ).

cnf(refute_0_6899,plain,
    product(bigC(a,a,b),product(b,product(a,c))) = c,
    inference(resolve,[$cnf( $equal(c,product(bigC(a,a,b),product(b,product(a,c)))) )],[refute_0_6897,refute_0_6898]) ).

cnf(refute_0_6900,plain,
    product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) = product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))))]]) ).

cnf(refute_0_6901,plain,
    ( product(bigC(a,a,b),product(b,product(a,c))) != c
    | product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) != product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))
    | product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_6902,plain,
    ( product(bigC(a,a,b),product(b,product(a,c))) != c
    | product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))) )],[refute_0_6900,refute_0_6901]) ).

cnf(refute_0_6903,plain,
    product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,product(a,c))),c) )],[refute_0_6899,refute_0_6902]) ).

cnf(refute_0_6904,plain,
    ( difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))
    | product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))) != product(bigC(a,a,b),c)
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),product(bigC(a,a,b),c)) ),[0],$fot(product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))))]]) ).

cnf(refute_0_6905,plain,
    ( difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),product(bigC(a,a,b),c)) )],[refute_0_6903,refute_0_6904]) ).

cnf(refute_0_6906,plain,
    ( difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))) )],[refute_0_6890,refute_0_6905]) ).

cnf(refute_0_6907,plain,
    difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c))))) )],[refute_0_6883,refute_0_6906]) ).

cnf(refute_0_6908,plain,
    bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_6909,plain,
    product(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a)))) = product(c,product(c,a)),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_6910,plain,
    quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,a,b))),bind(X_29,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_6911,plain,
    ( product(bigC(a,a,b),product(b,product(a,c))) != c
    | quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) ),[0,0,1],$fot(c)]]) ).

cnf(refute_0_6912,plain,
    ( quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,product(a,c))),c) )],[refute_0_6899,refute_0_6911]) ).

cnf(refute_0_6913,plain,
    quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(b,product(a,c)))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) )],[refute_0_6910,refute_0_6912]) ).

cnf(refute_0_6914,plain,
    quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)))]]) ).

cnf(refute_0_6915,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) != quotient(quotient(bigC(a,a,b),c),bigC(a,a,b))
    | quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = quotient(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),c),bigC(a,a,b))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_6916,plain,
    ( quotient(bigC(a,a,b),c) != product(c,a)
    | quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = quotient(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),c),bigC(a,a,b))) )],[refute_0_6914,refute_0_6915]) ).

cnf(refute_0_6917,plain,
    quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) = quotient(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),c),product(c,a)) )],[refute_0_1531,refute_0_6916]) ).

cnf(refute_0_6918,plain,
    ( quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) != quotient(product(c,a),bigC(a,a,b))
    | quotient(product(c,a),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) ),[0],$fot(quotient(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_6919,plain,
    ( quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(product(c,a),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_6917,refute_0_6918]) ).

cnf(refute_0_6920,plain,
    difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))))]]) ).

cnf(refute_0_6921,plain,
    ( difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | product(product(b,product(a,c)),bigC(a,a,b)) != product(c,product(c,a))
    | difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6922,plain,
    ( product(product(b,product(a,c)),bigC(a,a,b)) != product(c,product(c,a))
    | difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) )],[refute_0_6920,refute_0_6921]) ).

cnf(refute_0_6923,plain,
    difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(a,a,b)),product(c,product(c,a))) )],[refute_0_4942,refute_0_6922]) ).

cnf(refute_0_6924,plain,
    ( difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(c,product(c,a)))
    | quotient(product(c,a),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(product(c,a),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(a,a,b)),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) ),[1],$fot(difference(bigC(a,a,b),product(c,product(c,a))))]]) ).

cnf(refute_0_6925,plain,
    ( quotient(product(c,a),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(product(c,a),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(c,product(c,a)))) )],[refute_0_6923,refute_0_6924]) ).

cnf(refute_0_6926,plain,
    ( quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))
    | quotient(product(c,a),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,b)),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) )],[refute_0_6919,refute_0_6925]) ).

cnf(refute_0_6927,plain,
    quotient(product(c,a),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),c),bigC(a,a,b)),difference(bigC(a,a,b),product(product(b,product(a,c)),bigC(a,a,b)))) )],[refute_0_6913,refute_0_6926]) ).

cnf(refute_0_6928,plain,
    ( quotient(product(c,a),bigC(a,a,b)) != difference(bigC(a,a,b),product(c,product(c,a)))
    | difference(bigC(a,a,b),product(c,product(c,a))) = quotient(product(c,a),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(c,a),bigC(a,a,b)))),bind(Y,$fot(difference(bigC(a,a,b),product(c,product(c,a)))))]]) ).

cnf(refute_0_6929,plain,
    difference(bigC(a,a,b),product(c,product(c,a))) = quotient(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,b)),difference(bigC(a,a,b),product(c,product(c,a)))) )],[refute_0_6927,refute_0_6928]) ).

cnf(refute_0_6930,plain,
    ( difference(bigC(a,a,b),product(c,product(c,a))) != quotient(product(c,a),bigC(a,a,b))
    | product(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a)))) != product(c,product(c,a))
    | product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a)))),product(c,product(c,a))) ),[0,1],$fot(quotient(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_6931,plain,
    ( product(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a)))) != product(c,product(c,a))
    | product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,product(c,a))),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_6929,refute_0_6930]) ).

cnf(refute_0_6932,plain,
    product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a)))),product(c,product(c,a))) )],[refute_0_6909,refute_0_6931]) ).

cnf(refute_0_6933,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b))
    | product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))) != product(c,product(c,a))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,product(c,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_6934,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,product(c,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),product(c,product(c,a))) )],[refute_0_6932,refute_0_6933]) ).

cnf(refute_0_6935,plain,
    bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,product(c,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b))) )],[refute_0_6908,refute_0_6934]) ).

cnf(refute_0_6936,plain,
    bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(c,product(c,a)))),bind(X_22,$fot(quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_6937,plain,
    quotient(product(c,product(c,a)),difference(bigC(a,a,b),product(c,product(c,a)))) = bigC(a,a,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(c,product(c,a)))),bind(X_6,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6938,plain,
    ( difference(bigC(a,a,b),product(c,product(c,a))) != quotient(product(c,a),bigC(a,a,b))
    | quotient(product(c,product(c,a)),difference(bigC(a,a,b),product(c,product(c,a)))) != bigC(a,a,b)
    | quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,a)),difference(bigC(a,a,b),product(c,product(c,a)))),bigC(a,a,b)) ),[0,1],$fot(quotient(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_6939,plain,
    ( quotient(product(c,product(c,a)),difference(bigC(a,a,b),product(c,product(c,a)))) != bigC(a,a,b)
    | quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,product(c,a))),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_6929,refute_0_6938]) ).

cnf(refute_0_6940,plain,
    quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),difference(bigC(a,a,b),product(c,product(c,a)))),bigC(a,a,b)) )],[refute_0_6937,refute_0_6939]) ).

cnf(refute_0_6941,plain,
    ( bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))
    | quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,product(c,a)),product(X_23,quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))) ),[1,1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6942,plain,
    ( bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))
    | bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_6940,refute_0_6941]) ).

cnf(refute_0_6943,plain,
    bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,product(c,a)),product(X_23,quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))) )],[refute_0_6936,refute_0_6942]) ).

cnf(refute_0_6944,plain,
    product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))]]) ).

cnf(refute_0_6945,plain,
    ( product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) != product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))
    | quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))) != bigC(a,a,b)
    | product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_6946,plain,
    ( quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))) != bigC(a,a,b)
    | product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) )],[refute_0_6944,refute_0_6945]) ).

cnf(refute_0_6947,plain,
    product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_6940,refute_0_6946]) ).

cnf(refute_0_6948,plain,
    ( product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) != product(product(c,a),bigC(a,a,b))
    | product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = bigC(c,a,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))),bind(Y,$fot(product(product(c,a),bigC(a,a,b)))),bind(Z,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6949,plain,
    ( product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))),product(product(c,a),bigC(a,a,b))) )],[refute_0_6947,refute_0_6948]) ).

cnf(refute_0_6950,plain,
    product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(c,a,product(c,a))) )],[refute_0_6592,refute_0_6949]) ).

cnf(refute_0_6951,plain,
    product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) = product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))))]]) ).

cnf(refute_0_6952,plain,
    ( product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) != product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))
    | product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) != bigC(c,a,product(c,a))
    | product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) = product(product(c,X_23),bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))),product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))) ),[1,1],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_6953,plain,
    ( product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))) != bigC(c,a,product(c,a))
    | product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) = product(product(c,X_23),bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))),product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))) )],[refute_0_6951,refute_0_6952]) ).

cnf(refute_0_6954,plain,
    product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) = product(product(c,X_23),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))),bigC(c,a,product(c,a))) )],[refute_0_6950,refute_0_6953]) ).

cnf(refute_0_6955,plain,
    bigC(quotient(product(X_63,X_64),X_22),X_22,X_23) = product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_6956,plain,
    product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22))) = product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22))),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(X_23)),bind(D,$fot(quotient(product(X_63,X_64),X_22)))]]) ).

cnf(refute_0_6957,plain,
    ( bigC(quotient(product(X_63,X_64),X_22),X_22,X_23) != product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22)))
    | product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22))) != product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22)))
    | bigC(quotient(product(X_63,X_64),X_22),X_22,X_23) = product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(product(X_63,X_64),X_22),X_22,X_23),product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22)))) ),[0],$fot(product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22))))]]) ).

cnf(refute_0_6958,plain,
    ( bigC(quotient(product(X_63,X_64),X_22),X_22,X_23) != product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22)))
    | bigC(quotient(product(X_63,X_64),X_22),X_22,X_23) = product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22))),product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22)))) )],[refute_0_6956,refute_0_6957]) ).

cnf(refute_0_6959,plain,
    bigC(quotient(product(X_63,X_64),X_22),X_22,X_23) = product(product(X_63,X_23),product(X_64,quotient(product(X_63,X_64),X_22))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(X_63,X_64),X_22),X_22,X_23),product(product(X_63,X_64),product(X_23,quotient(product(X_63,X_64),X_22)))) )],[refute_0_6955,refute_0_6958]) ).

cnf(refute_0_6960,plain,
    bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))),
    inference(subst,[],[refute_0_6959:[bind(X_22,$fot(quotient(product(c,a),bigC(a,a,b)))),bind(X_63,$fot(c)),bind(X_64,$fot(product(c,a)))]]) ).

cnf(refute_0_6961,plain,
    ( bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))
    | product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) != product(product(c,X_23),bigC(c,a,product(c,a)))
    | bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,X_23),bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23))),bind(Y,$fot(product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))))),bind(Z,$fot(product(product(c,X_23),bigC(c,a,product(c,a)))))]]) ).

cnf(refute_0_6962,plain,
    ( product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))) != product(product(c,X_23),bigC(c,a,product(c,a)))
    | bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,X_23),bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b)))))) )],[refute_0_6960,refute_0_6961]) ).

cnf(refute_0_6963,plain,
    bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,X_23),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(product(c,a),quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))))),product(product(c,X_23),bigC(c,a,product(c,a)))) )],[refute_0_6954,refute_0_6962]) ).

cnf(refute_0_6964,plain,
    ( bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,X_23),bigC(c,a,product(c,a)))
    | bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(c,X_23),bigC(c,a,product(c,a))) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) ),[0],$fot(product(product(c,X_23),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6965,plain,
    ( bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(c,X_23),bigC(c,a,product(c,a))) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,X_23),bigC(c,a,product(c,a)))) )],[refute_0_6963,refute_0_6964]) ).

cnf(refute_0_6966,plain,
    bigC(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a))),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(c,product(c,a)))),bind(X_21,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6967,plain,
    ( bigC(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a))),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | difference(bigC(a,a,b),product(c,product(c,a))) != quotient(product(c,a),bigC(a,a,b))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a))),X_23),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) ),[0,1],$fot(quotient(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_6968,plain,
    ( bigC(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a))),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,product(c,a))),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_6929,refute_0_6967]) ).

cnf(refute_0_6969,plain,
    bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),difference(bigC(a,a,b),product(c,product(c,a))),X_23),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) )],[refute_0_6966,refute_0_6968]) ).

cnf(refute_0_6970,plain,
    bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) = product(product(bigC(a,a,b),X_23),product(c,a)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(c,a))),bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_6971,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(bigC(a,a,b),X_23),product(c,a))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(bigC(a,a,b),X_23),product(c,a)) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) ),[0],$fot(product(product(bigC(a,a,b),X_23),product(c,a)))]]) ).

cnf(refute_0_6972,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(bigC(a,a,b),X_23),product(c,a)) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(bigC(a,a,b),X_23),product(c,a))) )],[refute_0_6970,refute_0_6971]) ).

cnf(refute_0_6973,plain,
    product(product(bigC(a,a,b),X_23),product(c,a)) = product(product(c,product(c,a)),product(X_23,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) )],[refute_0_6969,refute_0_6972]) ).

cnf(refute_0_6974,plain,
    ( product(product(bigC(a,a,b),X_23),product(c,a)) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) = product(product(bigC(a,a,b),X_23),product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,b),X_23),product(c,a)))),bind(Y,$fot(product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))))]]) ).

cnf(refute_0_6975,plain,
    product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) = product(product(bigC(a,a,b),X_23),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_23),product(c,a)),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) )],[refute_0_6973,refute_0_6974]) ).

cnf(refute_0_6976,plain,
    ( product(product(c,X_23),bigC(c,a,product(c,a))) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(c,product(c,a)),product(X_23,bigC(a,a,b))) != product(product(bigC(a,a,b),X_23),product(c,a))
    | product(product(c,X_23),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),X_23),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,X_23),bigC(c,a,product(c,a))),product(product(bigC(a,a,b),X_23),product(c,a))) ),[0],$fot(product(product(c,product(c,a)),product(X_23,bigC(a,a,b))))]]) ).

cnf(refute_0_6977,plain,
    ( product(product(c,X_23),bigC(c,a,product(c,a))) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(c,X_23),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),X_23),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(X_23,bigC(a,a,b))),product(product(bigC(a,a,b),X_23),product(c,a))) )],[refute_0_6975,refute_0_6976]) ).

cnf(refute_0_6978,plain,
    ( bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23) != product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))
    | product(product(c,X_23),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),X_23),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(c,a,product(c,a))),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) )],[refute_0_6965,refute_0_6977]) ).

cnf(refute_0_6979,plain,
    product(product(c,X_23),bigC(c,a,product(c,a))) = product(product(bigC(a,a,b),X_23),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,product(c,a)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b)),X_23),product(product(c,product(c,a)),product(X_23,bigC(a,a,b)))) )],[refute_0_6943,refute_0_6978]) ).

cnf(refute_0_6980,plain,
    ( product(product(c,X_23),bigC(c,a,product(c,a))) != product(product(bigC(a,a,b),X_23),product(c,a))
    | product(product(bigC(a,a,b),X_23),product(c,a)) = product(product(c,X_23),bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,X_23),bigC(c,a,product(c,a))))),bind(Y,$fot(product(product(bigC(a,a,b),X_23),product(c,a))))]]) ).

cnf(refute_0_6981,plain,
    product(product(bigC(a,a,b),X_23),product(c,a)) = product(product(c,X_23),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(c,a,product(c,a))),product(product(bigC(a,a,b),X_23),product(c,a))) )],[refute_0_6979,refute_0_6980]) ).

cnf(refute_0_6982,plain,
    product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a)) = product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),
    inference(subst,[],[refute_0_6981:[bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6983,plain,
    bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(c,a))),bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_6984,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a))
    | product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a)) != product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))),bind(Y,$fot(product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a)))),bind(Z,$fot(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))))]]) ).

cnf(refute_0_6985,plain,
    ( product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a)) != product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a))) )],[refute_0_6983,refute_0_6984]) ).

cnf(refute_0_6986,plain,
    bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(a,a,b)),product(c,a)),product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))) )],[refute_0_6982,refute_0_6985]) ).

cnf(refute_0_6987,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))
    | bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(product(c,product(c,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(c,product(c,a)),bigC(a,a,b))) ),[0],$fot(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_6988,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(product(c,product(c,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))) )],[refute_0_6986,refute_0_6987]) ).

cnf(refute_0_6989,plain,
    ( product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,product(c,a)),bigC(a,a,b)) != bigC(c,product(c,a),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = bigC(c,product(c,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),bigC(c,product(c,a),product(c,a))) ),[0],$fot(product(product(c,product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_6990,plain,
    ( product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,b)),bigC(c,product(c,a),product(c,a))) )],[refute_0_6884,refute_0_6989]) ).

cnf(refute_0_6991,plain,
    ( bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),product(product(c,product(c,a)),bigC(a,a,b))) )],[refute_0_6988,refute_0_6990]) ).

cnf(refute_0_6992,plain,
    product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = bigC(c,product(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(c,product(c,a)),bigC(a,a,b))) )],[refute_0_6935,refute_0_6991]) ).

cnf(refute_0_6993,plain,
    bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))),bind(X_22,$fot(product(product(bigC(c,a,b),a),product(a,c))))]]) ).

cnf(refute_0_6994,plain,
    product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))) = product(bigC(c,b,a),a),
    inference(subst,[],[sos07:[bind(A,$fot(product(a,b))),bind(B,$fot(product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_6995,plain,
    ( product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))) != product(bigC(c,b,a),a)
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(c,b,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))),product(bigC(c,b,a),a)) ),[0,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_6996,plain,
    ( product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))) != product(bigC(c,b,a),a)
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(c,b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_6995]) ).

cnf(refute_0_6997,plain,
    product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(c,b,a),a),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))),product(bigC(c,b,a),a)) )],[refute_0_6994,refute_0_6996]) ).

cnf(refute_0_6998,plain,
    product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a)) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),
    inference(subst,[],[refute_0_555:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_23,$fot(bigC(c,b,a)))]]) ).

cnf(refute_0_6999,plain,
    product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) = product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(c,b,a))),bind(C,$fot(product(bigC(c,b,a),a))),bind(D,$fot(a))]]) ).

cnf(refute_0_7000,plain,
    ( product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a)) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) != product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a))
    | product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)))),bind(Y,$fot(product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a)))),bind(Z,$fot(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))))]]) ).

cnf(refute_0_7001,plain,
    ( product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a)) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a))) )],[refute_0_6999,refute_0_7000]) ).

cnf(refute_0_7002,plain,
    product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,b,a)),product(product(bigC(c,b,a),a),a)),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) )],[refute_0_6998,refute_0_7001]) ).

cnf(refute_0_7003,plain,
    product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))))]]) ).

cnf(refute_0_7004,plain,
    ( product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))) ),[1,0],$fot(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_7005,plain,
    ( product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_7003,refute_0_7004]) ).

cnf(refute_0_7006,plain,
    product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) )],[refute_0_7002,refute_0_7005]) ).

cnf(refute_0_7007,plain,
    ( product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(c,b,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(bigC(c,b,a),a)) ),[0],$fot(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))))]]) ).

cnf(refute_0_7008,plain,
    ( product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(c,b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_7006,refute_0_7007]) ).

cnf(refute_0_7009,plain,
    product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(c,b,a),a),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(bigC(c,b,a),a)) )],[refute_0_6997,refute_0_7008]) ).

cnf(refute_0_7010,plain,
    product(product(bigC(c,b,a),a),product(a,c)) = product(product(bigC(c,b,a),a),product(a,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,a),a),product(a,c)))]]) ).

cnf(refute_0_7011,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(product(bigC(c,b,a),a),product(a,c)) != product(product(bigC(c,b,a),a),product(a,c))
    | product(product(bigC(c,b,a),a),product(a,c)) = product(product(bigC(c,a,b),a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,c)),product(product(bigC(c,b,a),a),product(a,c))) ),[1,0],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_7012,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(product(bigC(c,b,a),a),product(a,c)) = product(product(bigC(c,a,b),a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,c)),product(product(bigC(c,b,a),a),product(a,c))) )],[refute_0_7010,refute_0_7011]) ).

cnf(refute_0_7013,plain,
    product(product(bigC(c,b,a),a),product(a,c)) = product(product(bigC(c,a,b),a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_7012]) ).

cnf(refute_0_7014,plain,
    product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))))]]) ).

cnf(refute_0_7015,plain,
    ( product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c)))
    | product(product(bigC(c,b,a),a),product(a,c)) != product(product(bigC(c,a,b),a),product(a,c))
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c)))) ),[1,1],$fot(product(product(bigC(c,a,b),a),product(a,c)))]]) ).

cnf(refute_0_7016,plain,
    ( product(product(bigC(c,b,a),a),product(a,c)) != product(product(bigC(c,a,b),a),product(a,c))
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_7014,refute_0_7015]) ).

cnf(refute_0_7017,plain,
    product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,c)),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_7013,refute_0_7016]) ).

cnf(refute_0_7018,plain,
    product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_7019,plain,
    ( product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a))
    | product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a))) ),[1,1],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_7020,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a))) )],[refute_0_7018,refute_0_7019]) ).

cnf(refute_0_7021,plain,
    product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_7020]) ).

cnf(refute_0_7022,plain,
    product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_7023,plain,
    ( bigC(a,b,bigC(c,b,a)) != bigC(a,b,bigC(c,a,b))
    | product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) ),[1,0],$fot(bigC(a,b,bigC(c,a,b)))]]) ).

cnf(refute_0_7024,plain,
    ( bigC(a,b,bigC(c,b,a)) != bigC(a,b,bigC(c,a,b))
    | product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) )],[refute_0_7022,refute_0_7023]) ).

cnf(refute_0_7025,plain,
    product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,b,a)),bigC(a,b,bigC(c,a,b))) )],[refute_0_1287,refute_0_7024]) ).

cnf(refute_0_7026,plain,
    ( product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a))
    | product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)))),bind(Y,$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)))),bind(Z,$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_7027,plain,
    ( product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a))) )],[refute_0_7025,refute_0_7026]) ).

cnf(refute_0_7028,plain,
    product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_7021,refute_0_7027]) ).

cnf(refute_0_7029,plain,
    product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))))]]) ).

cnf(refute_0_7030,plain,
    ( product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))) ),[1,0],$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_7031,plain,
    ( product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_7029,refute_0_7030]) ).

cnf(refute_0_7032,plain,
    product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_7028,refute_0_7031]) ).

cnf(refute_0_7033,plain,
    ( product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c)))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))))),bind(Y,$fot(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))))),bind(Z,$fot(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)))))]]) ).

cnf(refute_0_7034,plain,
    ( product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)))
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_7032,refute_0_7033]) ).

cnf(refute_0_7035,plain,
    product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) = product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_7017,refute_0_7034]) ).

cnf(refute_0_7036,plain,
    ( product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)))
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(c,b,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(bigC(c,b,a),a)) ),[0],$fot(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))))]]) ).

cnf(refute_0_7037,plain,
    ( product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(c,b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_7035,refute_0_7036]) ).

cnf(refute_0_7038,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(c,a,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(c,b,a),a)) ),[1],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_7039,plain,
    ( product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(c,a,b),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_7038]) ).

cnf(refute_0_7040,plain,
    ( product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(c,b,a),a)
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(c,a,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(c,b,a),a)) )],[refute_0_7037,refute_0_7039]) ).

cnf(refute_0_7041,plain,
    product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(c,a,b),a),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(product(bigC(c,b,a),a),product(a,c))),product(bigC(c,b,a),a)) )],[refute_0_7009,refute_0_7040]) ).

cnf(refute_0_7042,plain,
    ( bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(c,a,b),a)
    | bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),product(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))) ),[1,0],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_7043,plain,
    ( bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(c,a,b),a)) )],[refute_0_7041,refute_0_7042]) ).

cnf(refute_0_7044,plain,
    bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),product(product(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))) )],[refute_0_6993,refute_0_7043]) ).

cnf(refute_0_7045,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)))]]) ).

cnf(refute_0_7046,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_7047,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a))) )],[refute_0_7045,refute_0_7046]) ).

cnf(refute_0_7048,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_7047]) ).

cnf(refute_0_7049,plain,
    product(product(bigC(c,a,b),a),bigC(c,a,b)) = bigC(bigC(c,a,b),a,bigC(c,a,b)),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(bigC(c,a,b))),bind(X_22,$fot(a))]]) ).

cnf(refute_0_7050,plain,
    product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)))]]) ).

cnf(refute_0_7051,plain,
    ( product(product(bigC(c,a,b),a),bigC(c,a,b)) != bigC(bigC(c,a,b),a,bigC(c,a,b))
    | product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) != product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a))
    | product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)),product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a))) ),[1,0],$fot(bigC(bigC(c,a,b),a,bigC(c,a,b)))]]) ).

cnf(refute_0_7052,plain,
    ( product(product(bigC(c,a,b),a),bigC(c,a,b)) != bigC(bigC(c,a,b),a,bigC(c,a,b))
    | product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)),product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a))) )],[refute_0_7050,refute_0_7051]) ).

cnf(refute_0_7053,plain,
    product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(bigC(c,a,b),a,bigC(c,a,b))) )],[refute_0_7049,refute_0_7052]) ).

cnf(refute_0_7054,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a))
    | product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)))),bind(Y,$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)))),bind(Z,$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_7055,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a))) )],[refute_0_7053,refute_0_7054]) ).

cnf(refute_0_7056,plain,
    product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,c,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) )],[refute_0_7048,refute_0_7055]) ).

cnf(refute_0_7057,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) = product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(product(bigC(c,a,b),a))),bind(C,$fot(bigC(c,a,b))),bind(D,$fot(a)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_7058,plain,
    ( product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) != product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)))),bind(Y,$fot(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)))),bind(Z,$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_7059,plain,
    ( product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)),product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a))) )],[refute_0_7057,refute_0_7058]) ).

cnf(refute_0_7060,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),bigC(c,a,b)),bigC(a,c,a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) )],[refute_0_7056,refute_0_7059]) ).

cnf(refute_0_7061,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_7062,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) != product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)))
    | product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)))) ),[1,1],$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_7063,plain,
    ( product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)))) )],[refute_0_7061,refute_0_7062]) ).

cnf(refute_0_7064,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) )],[refute_0_7060,refute_0_7063]) ).

cnf(refute_0_7065,plain,
    bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))),
    inference(subst,[],[refute_0_260:[bind(B,$fot(bigC(a,b,bigC(c,a,b)))),bind(C,$fot(product(product(bigC(c,a,b),a),product(a,c)))),bind(D,$fot(product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_7066,plain,
    ( bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) != product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))
    | bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))))),bind(Y,$fot(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))))),bind(Z,$fot(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))))]]) ).

cnf(refute_0_7067,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))) != product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))
    | bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a)))) )],[refute_0_7065,refute_0_7066]) ).

cnf(refute_0_7068,plain,
    bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(product(bigC(c,a,b),a),product(a,c)),product(bigC(c,a,b),a))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) )],[refute_0_7064,refute_0_7067]) ).

cnf(refute_0_7069,plain,
    ( bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))
    | bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))) ),[0],$fot(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_7070,plain,
    ( bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) )],[refute_0_7068,refute_0_7069]) ).

cnf(refute_0_7071,plain,
    product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) = bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(product(bigC(c,a,b),a))),bind(X_23,$fot(bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_7072,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[0],$fot(product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_7073,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7071,refute_0_7072]) ).

cnf(refute_0_7074,plain,
    ( bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) != product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))) )],[refute_0_7070,refute_0_7073]) ).

cnf(refute_0_7075,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(product(bigC(c,a,b),a),product(a,c)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))),product(product(bigC(c,a,b),a),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))) )],[refute_0_7044,refute_0_7074]) ).

cnf(refute_0_7076,plain,
    bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_334:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(bigC(a,b,bigC(c,a,b)))),bind(C,$fot(a))]]) ).

cnf(refute_0_7077,plain,
    ( bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[1],$fot(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_7078,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))) )],[refute_0_7076,refute_0_7077]) ).

cnf(refute_0_7079,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),bigC(product(bigC(c,a,b),a),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7075,refute_0_7078]) ).

cnf(refute_0_7080,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) = product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_7081,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,c)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) != product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_7082,plain,
    ( bigC(bigC(c,a,b),a,bigC(c,a,b)) != bigC(c,a,c)
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) )],[refute_0_7080,refute_0_7081]) ).

cnf(refute_0_7083,plain,
    product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(c,a,c)) )],[refute_0_4868,refute_0_7082]) ).

cnf(refute_0_7084,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_7085,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))
    | product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) != product(bigC(c,a,c),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) ),[1,1],$fot(product(bigC(c,a,c),bigC(a,a,c)))]]) ).

cnf(refute_0_7086,plain,
    ( product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)) != product(bigC(c,a,c),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) )],[refute_0_7084,refute_0_7085]) ).

cnf(refute_0_7087,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)),product(bigC(c,a,c),bigC(a,a,c))) )],[refute_0_7083,refute_0_7086]) ).

cnf(refute_0_7088,plain,
    bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_7089,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b)))) ),[1,2],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_7090,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7088,refute_0_7089]) ).

cnf(refute_0_7091,plain,
    bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_1298,refute_0_7090]) ).

cnf(refute_0_7092,plain,
    bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_7093,plain,
    ( bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | product(bigC(c,a,b),a) != product(c,a)
    | bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_7094,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7092,refute_0_7093]) ).

cnf(refute_0_7095,plain,
    bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_7094]) ).

cnf(refute_0_7096,plain,
    ( bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))),bind(Y,$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))))),bind(Z,$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))))]]) ).

cnf(refute_0_7097,plain,
    ( bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7095,refute_0_7096]) ).

cnf(refute_0_7098,plain,
    bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))) )],[refute_0_7091,refute_0_7097]) ).

cnf(refute_0_7099,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_7100,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) ),[1,0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_7101,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7099,refute_0_7100]) ).

cnf(refute_0_7102,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_1298,refute_0_7101]) ).

cnf(refute_0_7103,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))
    | bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))),bind(Y,$fot(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))))),bind(Z,$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))))]]) ).

cnf(refute_0_7104,plain,
    ( bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7102,refute_0_7103]) ).

cnf(refute_0_7105,plain,
    bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))) )],[refute_0_7098,refute_0_7104]) ).

cnf(refute_0_7106,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_7107,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) ),[1,0],$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)))]]) ).

cnf(refute_0_7108,plain,
    ( bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) )],[refute_0_7106,refute_0_7107]) ).

cnf(refute_0_7109,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))) )],[refute_0_7105,refute_0_7108]) ).

cnf(refute_0_7110,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))),bind(Y,$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))))),bind(Z,$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))))]]) ).

cnf(refute_0_7111,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c)))) )],[refute_0_7109,refute_0_7110]) ).

cnf(refute_0_7112,plain,
    product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))) )],[refute_0_7087,refute_0_7111]) ).

cnf(refute_0_7113,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))
    | product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))) ),[0],$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))))]]) ).

cnf(refute_0_7114,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))) )],[refute_0_7112,refute_0_7113]) ).

cnf(refute_0_7115,plain,
    product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_7116,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) != product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b)))
    | product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))),product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_7117,plain,
    ( bigC(a,a,bigC(c,a,b)) != bigC(a,a,c)
    | product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))),product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b)))) )],[refute_0_7115,refute_0_7116]) ).

cnf(refute_0_7118,plain,
    product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,a,bigC(c,a,b)),bigC(a,a,c)) )],[refute_0_613,refute_0_7117]) ).

cnf(refute_0_7119,plain,
    product(c,bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_7120,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(c,bigC(a,b,bigC(c,a,b))) != product(c,bigC(a,b,bigC(c,a,b)))
    | product(c,bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,b,bigC(c,a,b))),product(c,bigC(a,b,bigC(c,a,b)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_7121,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(c,bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,bigC(c,a,b))),product(c,bigC(a,b,bigC(c,a,b)))) )],[refute_0_7119,refute_0_7120]) ).

cnf(refute_0_7122,plain,
    product(c,bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_1298,refute_0_7121]) ).

cnf(refute_0_7123,plain,
    product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))))]]) ).

cnf(refute_0_7124,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) != product(bigC(c,a,b),bigC(a,b,bigC(c,a,b)))
    | product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),product(bigC(c,a,b),bigC(a,b,bigC(c,a,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7125,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),product(bigC(c,a,b),bigC(a,b,bigC(c,a,b)))) )],[refute_0_7123,refute_0_7124]) ).

cnf(refute_0_7126,plain,
    product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_7125]) ).

cnf(refute_0_7127,plain,
    ( product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) != product(c,bigC(a,b,bigC(c,a,b)))
    | product(c,bigC(a,b,bigC(c,a,b))) != product(c,bigC(a,b,c))
    | product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))))),bind(Y,$fot(product(c,bigC(a,b,bigC(c,a,b))))),bind(Z,$fot(product(c,bigC(a,b,c))))]]) ).

cnf(refute_0_7128,plain,
    ( product(c,bigC(a,b,bigC(c,a,b))) != product(c,bigC(a,b,c))
    | product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),product(c,bigC(a,b,bigC(c,a,b)))) )],[refute_0_7126,refute_0_7127]) ).

cnf(refute_0_7129,plain,
    product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) = product(c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,bigC(c,a,b))),product(c,bigC(a,b,c))) )],[refute_0_7122,refute_0_7128]) ).

cnf(refute_0_7130,plain,
    product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_7131,plain,
    ( product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) != product(c,bigC(a,b,c))
    | product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))) ),[1,0],$fot(product(c,bigC(a,b,c)))]]) ).

cnf(refute_0_7132,plain,
    ( product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))) != product(c,bigC(a,b,c))
    | product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))) )],[refute_0_7130,refute_0_7131]) ).

cnf(refute_0_7133,plain,
    product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),product(c,bigC(a,b,c))) )],[refute_0_7129,refute_0_7132]) ).

cnf(refute_0_7134,plain,
    ( product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) != product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b)))
    | product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))))),bind(Y,$fot(product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))))),bind(Z,$fot(product(product(c,bigC(a,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_7135,plain,
    ( product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b)))) )],[refute_0_7133,refute_0_7134]) ).

cnf(refute_0_7136,plain,
    product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,c)),bigC(a,a,bigC(c,a,b))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_7118,refute_0_7135]) ).

cnf(refute_0_7137,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) ),[0],$fot(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))))]]) ).

cnf(refute_0_7138,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_7136,refute_0_7137]) ).

cnf(refute_0_7139,plain,
    ( product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))) != product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))) )],[refute_0_7114,refute_0_7138]) ).

cnf(refute_0_7140,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a),bigC(a,b,bigC(c,a,b))),product(bigC(bigC(c,a,b),a,bigC(c,a,b)),bigC(a,a,c))),product(product(bigC(c,a,b),bigC(a,b,bigC(c,a,b))),bigC(a,a,bigC(c,a,b)))) )],[refute_0_7079,refute_0_7139]) ).

cnf(refute_0_7141,plain,
    product(bigC(c,a,c),bigC(a,a,c)) = product(bigC(c,a,c),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),bigC(a,a,c)))]]) ).

cnf(refute_0_7142,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,c)) != product(bigC(c,a,c),bigC(a,a,c))
    | product(bigC(c,a,c),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,c)),product(bigC(c,a,c),bigC(a,a,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_7143,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,c)),product(bigC(c,a,c),bigC(a,a,c))) )],[refute_0_7141,refute_0_7142]) ).

cnf(refute_0_7144,plain,
    product(bigC(c,a,c),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_7143]) ).

cnf(refute_0_7145,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))))]]) ).

cnf(refute_0_7146,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))
    | product(bigC(c,a,c),bigC(a,a,c)) != product(bigC(a,a,b),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))) ),[1,1],$fot(product(bigC(a,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_7147,plain,
    ( product(bigC(c,a,c),bigC(a,a,c)) != product(bigC(a,a,b),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c)))) )],[refute_0_7145,refute_0_7146]) ).

cnf(refute_0_7148,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),bigC(a,a,c)),product(bigC(a,a,b),bigC(a,a,c))) )],[refute_0_7144,refute_0_7147]) ).

cnf(refute_0_7149,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) ),[0],$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_7150,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c)))) )],[refute_0_7148,refute_0_7149]) ).

cnf(refute_0_7151,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(c,a,c),bigC(a,a,c))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_7140,refute_0_7150]) ).

cnf(refute_0_7152,plain,
    product(product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c),
    inference(subst,[],[sos07:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(product(bigC(c,a,b),c)))]]) ).

cnf(refute_0_7153,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(product(a,c),bigC(c,a,b)),product(a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_7154,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(product(a,c),bigC(c,a,b)),product(a,c))
    | product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(product(product(a,c),bigC(c,a,b)),product(a,c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7155,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(product(a,c),bigC(c,a,b)),product(a,c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_3050,refute_0_7154]) ).

cnf(refute_0_7156,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(product(a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(product(product(a,c),bigC(c,a,b)),product(a,c))) )],[refute_0_7153,refute_0_7155]) ).

cnf(refute_0_7157,plain,
    product(bigC(a,c,a),product(bigC(c,a,b),c)) = product(bigC(a,c,a),product(bigC(c,a,b),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(bigC(c,a,b),c)))]]) ).

cnf(refute_0_7158,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(bigC(c,a,b),c)) != product(bigC(a,c,a),product(bigC(c,a,b),c))
    | product(bigC(a,c,a),product(bigC(c,a,b),c)) = product(bigC(a,a,c),product(bigC(c,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(bigC(c,a,b),c)),product(bigC(a,c,a),product(bigC(c,a,b),c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_7159,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(bigC(c,a,b),c)) = product(bigC(a,a,c),product(bigC(c,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(bigC(c,a,b),c)),product(bigC(a,c,a),product(bigC(c,a,b),c))) )],[refute_0_7157,refute_0_7158]) ).

cnf(refute_0_7160,plain,
    product(bigC(a,c,a),product(bigC(c,a,b),c)) = product(bigC(a,a,c),product(bigC(c,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_7159]) ).

cnf(refute_0_7161,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(bigC(a,c,a),product(bigC(c,a,b),c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(bigC(c,a,b))),bind(D,$fot(c))]]) ).

cnf(refute_0_7162,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(bigC(a,c,a),product(bigC(c,a,b),c))
    | product(bigC(a,c,a),product(bigC(c,a,b),c)) != product(bigC(a,a,c),product(bigC(c,a,b),c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(bigC(a,a,c),product(bigC(c,a,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),bigC(c,a,b),product(a,c)))),bind(Y,$fot(product(bigC(a,c,a),product(bigC(c,a,b),c)))),bind(Z,$fot(product(bigC(a,a,c),product(bigC(c,a,b),c))))]]) ).

cnf(refute_0_7163,plain,
    ( product(bigC(a,c,a),product(bigC(c,a,b),c)) != product(bigC(a,a,c),product(bigC(c,a,b),c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(bigC(a,a,c),product(bigC(c,a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(bigC(a,c,a),product(bigC(c,a,b),c))) )],[refute_0_7161,refute_0_7162]) ).

cnf(refute_0_7164,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,c)) = product(bigC(a,a,c),product(bigC(c,a,b),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(bigC(c,a,b),c)),product(bigC(a,a,c),product(bigC(c,a,b),c))) )],[refute_0_7160,refute_0_7163]) ).

cnf(refute_0_7165,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(bigC(a,a,c),product(bigC(c,a,b),c))
    | bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),product(bigC(c,a,b),c)) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(product(a,product(b,c)),product(a,c))) ),[0],$fot(product(bigC(a,a,c),product(bigC(c,a,b),c)))]]) ).

cnf(refute_0_7166,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),product(bigC(c,a,b),c)) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(bigC(a,a,c),product(bigC(c,a,b),c))) )],[refute_0_7164,refute_0_7165]) ).

cnf(refute_0_7167,plain,
    ( product(bigC(a,a,c),product(bigC(c,a,b),c)) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | product(bigC(a,a,c),product(bigC(c,a,b),c)) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(a,product(product(b,c),c))) ),[0],$fot(product(product(a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_7168,plain,
    ( product(bigC(a,a,c),product(bigC(c,a,b),c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),product(bigC(c,a,b),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_7167]) ).

cnf(refute_0_7169,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,c)) != product(product(a,product(b,c)),product(a,c))
    | product(bigC(a,a,c),product(bigC(c,a,b),c)) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(product(a,product(b,c)),product(a,c))) )],[refute_0_7166,refute_0_7168]) ).

cnf(refute_0_7170,plain,
    product(bigC(a,a,c),product(bigC(c,a,b),c)) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,c)),product(product(a,product(b,c)),product(a,c))) )],[refute_0_7156,refute_0_7169]) ).

cnf(refute_0_7171,plain,
    ( product(bigC(a,a,c),product(bigC(c,a,b),c)) != product(a,product(product(b,c),c))
    | product(product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(bigC(c,a,b),c)) ),[0,0,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_7172,plain,
    ( product(product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(a,product(product(b,c),c))) )],[refute_0_7170,refute_0_7171]) ).

cnf(refute_0_7173,plain,
    product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(bigC(c,a,b),c)) )],[refute_0_7152,refute_0_7172]) ).

cnf(refute_0_7174,plain,
    product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)))),bind(X_63,$fot(product(product(b,c),c))),bind(X_64,$fot(c)),bind(X_65,$fot(product(bigC(c,a,b),c))),bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_7175,plain,
    product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c)))),
    inference(subst,[],[refute_0_1192:[bind(A,$fot(product(a,bigC(c,a,b)))),bind(C,$fot(product(bigC(c,a,b),c))),bind(X_63,$fot(product(product(b,c),c))),bind(X_64,$fot(c)),bind(X_65,$fot(product(bigC(c,a,b),c))),bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_7176,plain,
    ( product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))),bind(Y,$fot(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c)))))),bind(Z,$fot(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))))]]) ).

cnf(refute_0_7177,plain,
    ( product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c))))) )],[refute_0_7175,refute_0_7176]) ).

cnf(refute_0_7178,plain,
    product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),product(bigC(c,a,b),c)),product(c,bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7174,refute_0_7177]) ).

cnf(refute_0_7179,plain,
    product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))),bind(X_63,$fot(a)),bind(X_64,$fot(bigC(c,a,b))),bind(X_65,$fot(product(product(b,c),c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_7180,plain,
    ( product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))),bind(Y,$fot(product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))),bind(Z,$fot(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))))]]) ).

cnf(refute_0_7181,plain,
    ( product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7179,refute_0_7180]) ).

cnf(refute_0_7182,plain,
    product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(product(product(b,c),c),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7178,refute_0_7181]) ).

cnf(refute_0_7183,plain,
    ( product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(bigC(c,a,b),c)) ),[0],$fot(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))]]) ).

cnf(refute_0_7184,plain,
    ( product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7182,refute_0_7183]) ).

cnf(refute_0_7185,plain,
    product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(bigC(c,a,b),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(product(b,c),c)),product(bigC(c,a,b),c)),product(product(bigC(c,a,b),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(bigC(c,a,b),c)) )],[refute_0_7173,refute_0_7184]) ).

cnf(refute_0_7186,plain,
    product(bigC(c,a,b),c) = product(bigC(c,a,b),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),c))]]) ).

cnf(refute_0_7187,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),c) != product(bigC(c,a,b),c)
    | product(bigC(c,a,b),c) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),c),product(bigC(c,a,b),c)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7188,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),c) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),product(bigC(c,a,b),c)) )],[refute_0_7186,refute_0_7187]) ).

cnf(refute_0_7189,plain,
    product(bigC(c,a,b),c) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_7188]) ).

cnf(refute_0_7190,plain,
    ( product(bigC(c,a,b),c) != product(c,c)
    | product(c,c) != c
    | product(bigC(c,a,b),c) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),c))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_7191,plain,
    ( product(c,c) != c
    | product(bigC(c,a,b),c) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),product(c,c)) )],[refute_0_7189,refute_0_7190]) ).

cnf(refute_0_7192,plain,
    product(bigC(c,a,b),c) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_7191]) ).

cnf(refute_0_7193,plain,
    product(product(bigC(c,a,b),c),bigC(a,a,c)) = product(product(bigC(c,a,b),c),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),c),bigC(a,a,c)))]]) ).

cnf(refute_0_7194,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(bigC(c,a,b),c),bigC(a,a,c)) != product(product(bigC(c,a,b),c),bigC(a,a,c))
    | product(product(bigC(c,a,b),c),bigC(a,a,c)) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),c),bigC(a,a,c)),product(product(bigC(c,a,b),c),bigC(a,a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7195,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(bigC(c,a,b),c),bigC(a,a,c)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),c),bigC(a,a,c)),product(product(bigC(c,a,b),c),bigC(a,a,c))) )],[refute_0_7193,refute_0_7194]) ).

cnf(refute_0_7196,plain,
    product(product(bigC(c,a,b),c),bigC(a,a,c)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),c) )],[refute_0_7192,refute_0_7195]) ).

cnf(refute_0_7197,plain,
    product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) = product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))]]) ).

cnf(refute_0_7198,plain,
    ( product(product(bigC(c,a,b),c),bigC(a,a,c)) != product(c,bigC(a,a,c))
    | product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) != product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))
    | product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) = product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_7199,plain,
    ( product(product(bigC(c,a,b),c),bigC(a,a,c)) != product(c,bigC(a,a,c))
    | product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) = product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) )],[refute_0_7197,refute_0_7198]) ).

cnf(refute_0_7200,plain,
    product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) = product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),c),bigC(a,a,c)),product(c,bigC(a,a,c))) )],[refute_0_7196,refute_0_7199]) ).

cnf(refute_0_7201,plain,
    product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))]]) ).

cnf(refute_0_7202,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) != product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) ),[1,1],$fot(product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_7203,plain,
    ( product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))) != product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7201,refute_0_7202]) ).

cnf(refute_0_7204,plain,
    product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) )],[refute_0_7200,refute_0_7203]) ).

cnf(refute_0_7205,plain,
    product(product(a,c),product(bigC(c,a,b),c)) = product(product(a,c),product(bigC(c,a,b),c)),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(bigC(c,a,b),c)))]]) ).

cnf(refute_0_7206,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(a,c),product(bigC(c,a,b),c)) != product(product(a,c),product(bigC(c,a,b),c))
    | product(product(a,c),product(bigC(c,a,b),c)) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(bigC(c,a,b),c)),product(product(a,c),product(bigC(c,a,b),c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_7207,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(a,c),product(bigC(c,a,b),c)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(c,a,b),c)),product(product(a,c),product(bigC(c,a,b),c))) )],[refute_0_7205,refute_0_7206]) ).

cnf(refute_0_7208,plain,
    product(product(a,c),product(bigC(c,a,b),c)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),c) )],[refute_0_7192,refute_0_7207]) ).

cnf(refute_0_7209,plain,
    product(a,bigC(c,a,b)) = product(a,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(a,bigC(c,a,b)))]]) ).

cnf(refute_0_7210,plain,
    ( bigC(c,a,b) != c
    | product(a,bigC(c,a,b)) != product(a,bigC(c,a,b))
    | product(a,bigC(c,a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,a,b)),product(a,bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_7211,plain,
    ( bigC(c,a,b) != c
    | product(a,bigC(c,a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,a,b)),product(a,bigC(c,a,b))) )],[refute_0_7209,refute_0_7210]) ).

cnf(refute_0_7212,plain,
    product(a,bigC(c,a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_7211]) ).

cnf(refute_0_7213,plain,
    product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)))]]) ).

cnf(refute_0_7214,plain,
    ( product(a,bigC(c,a,b)) != product(a,c)
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) != product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c))
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,c),product(bigC(c,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_7215,plain,
    ( product(a,bigC(c,a,b)) != product(a,c)
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,c),product(bigC(c,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c))) )],[refute_0_7213,refute_0_7214]) ).

cnf(refute_0_7216,plain,
    product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,c),product(bigC(c,a,b),c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,a,b)),product(a,c)) )],[refute_0_7212,refute_0_7215]) ).

cnf(refute_0_7217,plain,
    ( product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) != product(product(a,c),product(bigC(c,a,b),c))
    | product(product(a,c),product(bigC(c,a,b),c)) != product(product(a,c),c)
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)))),bind(Y,$fot(product(product(a,c),product(bigC(c,a,b),c)))),bind(Z,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_7218,plain,
    ( product(product(a,c),product(bigC(c,a,b),c)) != product(product(a,c),c)
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(a,c),product(bigC(c,a,b),c))) )],[refute_0_7216,refute_0_7217]) ).

cnf(refute_0_7219,plain,
    product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(bigC(c,a,b),c)),product(product(a,c),c)) )],[refute_0_7208,refute_0_7218]) ).

cnf(refute_0_7220,plain,
    ( product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) != product(product(a,c),c)
    | product(product(a,c),c) != product(a,product(b,c))
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)))),bind(Y,$fot(product(product(a,c),c))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_7221,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(a,c),c)) )],[refute_0_7219,refute_0_7220]) ).

cnf(refute_0_7222,plain,
    product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_7221]) ).

cnf(refute_0_7223,plain,
    product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))]]) ).

cnf(refute_0_7224,plain,
    ( product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) != product(a,product(b,c))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7225,plain,
    ( product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)) != product(a,product(b,c))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7223,refute_0_7224]) ).

cnf(refute_0_7226,plain,
    product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(a,product(b,c))) )],[refute_0_7222,refute_0_7225]) ).

cnf(refute_0_7227,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))),bind(Y,$fot(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))))),bind(Z,$fot(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))))]]) ).

cnf(refute_0_7228,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c))))) )],[refute_0_7226,refute_0_7227]) ).

cnf(refute_0_7229,plain,
    product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))) )],[refute_0_7204,refute_0_7228]) ).

cnf(refute_0_7230,plain,
    ( product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = product(bigC(c,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(bigC(c,a,b),c)) ),[0],$fot(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_7231,plain,
    ( product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = product(bigC(c,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))) )],[refute_0_7229,refute_0_7230]) ).

cnf(refute_0_7232,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),product(bigC(c,a,b),c)) ),[1],$fot(c)]]) ).

cnf(refute_0_7233,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),c) )],[refute_0_7192,refute_0_7232]) ).

cnf(refute_0_7234,plain,
    ( product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))) != product(bigC(c,a,b),c)
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),product(bigC(c,a,b),c)) )],[refute_0_7231,refute_0_7233]) ).

cnf(refute_0_7235,plain,
    product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(c,a,b)),product(bigC(c,a,b),c)),product(product(product(product(b,c),c),c),product(product(bigC(c,a,b),c),bigC(a,a,c)))),product(bigC(c,a,b),c)) )],[refute_0_7185,refute_0_7234]) ).

cnf(refute_0_7236,plain,
    product(product(product(b,c),c),c) = product(product(product(b,c),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),c))]]) ).

cnf(refute_0_7237,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),c) != product(product(product(b,c),c),c)
    | product(product(product(b,c),c),c) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),c),product(product(product(b,c),c),c)) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_7238,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),c) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),c),product(product(product(b,c),c),c)) )],[refute_0_7236,refute_0_7237]) ).

cnf(refute_0_7239,plain,
    product(product(product(b,c),c),c) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_7238]) ).

cnf(refute_0_7240,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) = product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_7241,plain,
    ( product(product(product(b,c),c),c) != product(product(b,product(a,c)),c)
    | product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) != product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))
    | product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) = product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) ),[1,0],$fot(product(product(b,product(a,c)),c))]]) ).

cnf(refute_0_7242,plain,
    ( product(product(product(b,c),c),c) != product(product(b,product(a,c)),c)
    | product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) = product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) )],[refute_0_7240,refute_0_7241]) ).

cnf(refute_0_7243,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) = product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),c),product(product(b,product(a,c)),c)) )],[refute_0_7239,refute_0_7242]) ).

cnf(refute_0_7244,plain,
    product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_7245,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))
    | product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) != product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))) ),[1,1],$fot(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_7246,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))) != product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))))) )],[refute_0_7244,refute_0_7245]) ).

cnf(refute_0_7247,plain,
    product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(a,a,c))),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) )],[refute_0_7243,refute_0_7246]) ).

cnf(refute_0_7248,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) != c
    | product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),c) ),[0],$fot(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_7249,plain,
    ( product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))) != c
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))) )],[refute_0_7247,refute_0_7248]) ).

cnf(refute_0_7250,plain,
    product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = c,
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(product(b,c),c),c),product(c,bigC(a,a,c)))),c) )],[refute_0_7235,refute_0_7249]) ).

cnf(refute_0_7251,plain,
    product(c,product(product(a,b),product(c,a))) = product(c,product(product(a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(product(c,product(product(a,b),product(c,a))))]]) ).

cnf(refute_0_7252,plain,
    ( product(c,product(product(a,b),product(c,a))) != product(c,product(product(a,b),product(c,a)))
    | product(product(a,b),product(c,a)) != bigC(a,b,c)
    | product(c,product(product(a,b),product(c,a))) = product(c,bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(a,b),product(c,a))),product(c,product(product(a,b),product(c,a)))) ),[1,1],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_7253,plain,
    ( product(product(a,b),product(c,a)) != bigC(a,b,c)
    | product(c,product(product(a,b),product(c,a))) = product(c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),product(c,a))),product(c,product(product(a,b),product(c,a)))) )],[refute_0_7251,refute_0_7252]) ).

cnf(refute_0_7254,plain,
    product(c,product(product(a,b),product(c,a))) = product(c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,a)),bigC(a,b,c)) )],[refute_0_3827,refute_0_7253]) ).

cnf(refute_0_7255,plain,
    product(product(c,c),product(product(a,b),product(c,a))) = product(product(c,c),product(product(a,b),product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(a,b),product(c,a))))]]) ).

cnf(refute_0_7256,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(a,b),product(c,a))) != product(product(c,c),product(product(a,b),product(c,a)))
    | product(product(c,c),product(product(a,b),product(c,a))) = product(c,product(product(a,b),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,a))),product(product(c,c),product(product(a,b),product(c,a)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7257,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(a,b),product(c,a))) = product(c,product(product(a,b),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,a))),product(product(c,c),product(product(a,b),product(c,a)))) )],[refute_0_7255,refute_0_7256]) ).

cnf(refute_0_7258,plain,
    product(product(c,c),product(product(a,b),product(c,a))) = product(c,product(product(a,b),product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_7257]) ).

cnf(refute_0_7259,plain,
    ( product(c,product(product(a,b),product(c,a))) != product(c,bigC(a,b,c))
    | product(product(c,c),product(product(a,b),product(c,a))) != product(c,product(product(a,b),product(c,a)))
    | product(product(c,c),product(product(a,b),product(c,a))) = product(c,bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(a,b),product(c,a))))),bind(Y,$fot(product(c,product(product(a,b),product(c,a))))),bind(Z,$fot(product(c,bigC(a,b,c))))]]) ).

cnf(refute_0_7260,plain,
    ( product(c,product(product(a,b),product(c,a))) != product(c,bigC(a,b,c))
    | product(product(c,c),product(product(a,b),product(c,a))) = product(c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,a))),product(c,product(product(a,b),product(c,a)))) )],[refute_0_7258,refute_0_7259]) ).

cnf(refute_0_7261,plain,
    product(product(c,c),product(product(a,b),product(c,a))) = product(c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),product(c,a))),product(c,bigC(a,b,c))) )],[refute_0_7254,refute_0_7260]) ).

cnf(refute_0_7262,plain,
    product(product(c,B),product(product(a,b),D)) = product(product(c,product(a,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_7263,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(c,B),product(product(a,b),D)) != product(product(c,product(a,b)),product(B,D))
    | product(product(c,B),product(product(a,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(a,b),D)),product(product(c,product(a,b)),product(B,D))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7264,plain,
    ( product(product(c,B),product(product(a,b),D)) != product(product(c,product(a,b)),product(B,D))
    | product(product(c,B),product(product(a,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_7263]) ).

cnf(refute_0_7265,plain,
    product(product(c,B),product(product(a,b),D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,b),D)),product(product(c,product(a,b)),product(B,D))) )],[refute_0_7262,refute_0_7264]) ).

cnf(refute_0_7266,plain,
    ( product(product(c,B),product(product(a,b),D)) != product(product(a,product(b,c)),product(B,D))
    | product(product(a,product(b,c)),product(B,D)) = product(product(c,B),product(product(a,b),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,B),product(product(a,b),D)))),bind(Y,$fot(product(product(a,product(b,c)),product(B,D))))]]) ).

cnf(refute_0_7267,plain,
    product(product(a,product(b,c)),product(B,D)) = product(product(c,B),product(product(a,b),D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,b),D)),product(product(a,product(b,c)),product(B,D))) )],[refute_0_7265,refute_0_7266]) ).

cnf(refute_0_7268,plain,
    product(product(a,product(b,c)),product(c,product(c,a))) = product(product(c,c),product(product(a,b),product(c,a))),
    inference(subst,[],[refute_0_7267:[bind(B,$fot(c)),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_7269,plain,
    ( product(product(a,product(b,c)),product(c,product(c,a))) != product(product(c,c),product(product(a,b),product(c,a)))
    | product(product(c,c),product(product(a,b),product(c,a))) != product(c,bigC(a,b,c))
    | product(product(a,product(b,c)),product(c,product(c,a))) = product(c,bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(c,product(c,a))))),bind(Y,$fot(product(product(c,c),product(product(a,b),product(c,a))))),bind(Z,$fot(product(c,bigC(a,b,c))))]]) ).

cnf(refute_0_7270,plain,
    ( product(product(c,c),product(product(a,b),product(c,a))) != product(c,bigC(a,b,c))
    | product(product(a,product(b,c)),product(c,product(c,a))) = product(c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(c,product(c,a))),product(product(c,c),product(product(a,b),product(c,a)))) )],[refute_0_7268,refute_0_7269]) ).

cnf(refute_0_7271,plain,
    product(product(a,product(b,c)),product(c,product(c,a))) = product(c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),product(c,a))),product(c,bigC(a,b,c))) )],[refute_0_7261,refute_0_7270]) ).

cnf(refute_0_7272,plain,
    product(c,bigC(a,a,a)) = product(c,bigC(a,a,a)),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,a,a)))]]) ).

cnf(refute_0_7273,plain,
    ( bigC(a,a,a) != a
    | product(c,bigC(a,a,a)) != product(c,bigC(a,a,a))
    | product(c,bigC(a,a,a)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,a,a)),product(c,bigC(a,a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_7274,plain,
    ( bigC(a,a,a) != a
    | product(c,bigC(a,a,a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,a)),product(c,bigC(a,a,a))) )],[refute_0_7272,refute_0_7273]) ).

cnf(refute_0_7275,plain,
    product(c,bigC(a,a,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_2196,refute_0_7274]) ).

cnf(refute_0_7276,plain,
    product(bigC(c,c,c),bigC(a,a,a)) = product(bigC(c,c,c),bigC(a,a,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,c),bigC(a,a,a)))]]) ).

cnf(refute_0_7277,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(a,a,a)) != product(bigC(c,c,c),bigC(a,a,a))
    | product(bigC(c,c,c),bigC(a,a,a)) = product(c,bigC(a,a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,a)),product(bigC(c,c,c),bigC(a,a,a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7278,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(a,a,a)) = product(c,bigC(a,a,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,a)),product(bigC(c,c,c),bigC(a,a,a))) )],[refute_0_7276,refute_0_7277]) ).

cnf(refute_0_7279,plain,
    product(bigC(c,c,c),bigC(a,a,a)) = product(c,bigC(a,a,a)),
    inference(resolve,[$cnf( $equal(bigC(c,c,c),c) )],[refute_0_3568,refute_0_7278]) ).

cnf(refute_0_7280,plain,
    ( product(bigC(c,c,c),bigC(a,a,a)) != product(c,bigC(a,a,a))
    | product(c,bigC(a,a,a)) != product(c,a)
    | product(bigC(c,c,c),bigC(a,a,a)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,c,c),bigC(a,a,a)))),bind(Y,$fot(product(c,bigC(a,a,a)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_7281,plain,
    ( product(c,bigC(a,a,a)) != product(c,a)
    | product(bigC(c,c,c),bigC(a,a,a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,a)),product(c,bigC(a,a,a))) )],[refute_0_7279,refute_0_7280]) ).

cnf(refute_0_7282,plain,
    product(bigC(c,c,c),bigC(a,a,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,a)),product(c,a)) )],[refute_0_7275,refute_0_7281]) ).

cnf(refute_0_7283,plain,
    product(product(c,product(c,a)),bigC(a,a,c)) = product(bigC(c,c,c),bigC(a,a,a)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(a)),bind(D,$fot(a))]]) ).

cnf(refute_0_7284,plain,
    ( product(bigC(c,c,c),bigC(a,a,a)) != product(c,a)
    | product(product(c,product(c,a)),bigC(a,a,c)) != product(bigC(c,c,c),bigC(a,a,a))
    | product(product(c,product(c,a)),bigC(a,a,c)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),bigC(a,a,c)))),bind(Y,$fot(product(bigC(c,c,c),bigC(a,a,a)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_7285,plain,
    ( product(bigC(c,c,c),bigC(a,a,a)) != product(c,a)
    | product(product(c,product(c,a)),bigC(a,a,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,c)),product(bigC(c,c,c),bigC(a,a,a))) )],[refute_0_7283,refute_0_7284]) ).

cnf(refute_0_7286,plain,
    product(product(c,product(c,a)),bigC(a,a,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,a)),product(c,a)) )],[refute_0_7282,refute_0_7285]) ).

cnf(refute_0_7287,plain,
    product(c,product(product(c,product(c,a)),bigC(a,a,c))) = product(c,product(product(c,product(c,a)),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,product(c,a)),bigC(a,a,c))))]]) ).

cnf(refute_0_7288,plain,
    ( product(c,product(product(c,product(c,a)),bigC(a,a,c))) != product(c,product(product(c,product(c,a)),bigC(a,a,c)))
    | product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | product(c,product(product(c,product(c,a)),bigC(a,a,c))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,product(c,a)),bigC(a,a,c))),product(c,product(product(c,product(c,a)),bigC(a,a,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_7289,plain,
    ( product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | product(c,product(product(c,product(c,a)),bigC(a,a,c))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,a)),bigC(a,a,c))),product(c,product(product(c,product(c,a)),bigC(a,a,c)))) )],[refute_0_7287,refute_0_7288]) ).

cnf(refute_0_7290,plain,
    product(c,product(product(c,product(c,a)),bigC(a,a,c))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,c)),product(c,a)) )],[refute_0_7286,refute_0_7289]) ).

cnf(refute_0_7291,plain,
    product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) = product(c,product(product(c,product(c,a)),bigC(a,a,c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(product(c,product(c,a)))),bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_7292,plain,
    ( product(c,product(product(c,product(c,a)),bigC(a,a,c))) != product(c,product(c,a))
    | product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) != product(c,product(product(c,product(c,a)),bigC(a,a,c)))
    | product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))))),bind(Y,$fot(product(c,product(product(c,product(c,a)),bigC(a,a,c))))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_7293,plain,
    ( product(c,product(product(c,product(c,a)),bigC(a,a,c))) != product(c,product(c,a))
    | product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))),product(c,product(product(c,product(c,a)),bigC(a,a,c)))) )],[refute_0_7291,refute_0_7292]) ).

cnf(refute_0_7294,plain,
    product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,a)),bigC(a,a,c))),product(c,product(c,a))) )],[refute_0_7290,refute_0_7293]) ).

cnf(refute_0_7295,plain,
    difference(product(c,product(product(a,c),c)),bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(product(product(a,c),c))),bind(X_23,$fot(difference(c,product(product(product(c,b),a),product(b,c)))))]]) ).

cnf(refute_0_7296,plain,
    bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(product(product(c,b),a),product(b,c)))),bind(X_21,$fot(c)),bind(X_23,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_7297,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),b)))) = product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,b),b))),bind(X_16,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_7298,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,c),product(c,b)),product(c,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(a,c))),bind(X_16,$fot(product(c,b)))]]) ).

cnf(refute_0_7299,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(product(a,c),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,c),product(c,b)),product(c,b))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_7300,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(product(a,c),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_7299]) ).

cnf(refute_0_7301,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,c),product(c,b)),product(c,b))) )],[refute_0_7298,refute_0_7300]) ).

cnf(refute_0_7302,plain,
    product(product(product(a,c),product(c,b)),product(c,b)) = product(product(product(a,c),c),product(product(c,b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,c))),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_7303,plain,
    ( product(product(product(a,c),product(c,b)),product(c,b)) != product(product(product(a,c),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(product(a,c),product(c,b)),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,c),c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))))),bind(Y,$fot(product(product(product(a,c),product(c,b)),product(c,b)))),bind(Z,$fot(product(product(product(a,c),c),product(product(c,b),b))))]]) ).

cnf(refute_0_7304,plain,
    ( product(product(product(a,c),product(c,b)),product(c,b)) != product(product(product(a,c),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,c),c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,c),product(c,b)),product(c,b))) )],[refute_0_7298,refute_0_7303]) ).

cnf(refute_0_7305,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) = product(product(product(a,c),c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(c,b)),product(product(product(a,c),c),product(product(c,b),b))) )],[refute_0_7302,refute_0_7304]) ).

cnf(refute_0_7306,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(a,b),product(c,b))
    | quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(product(a,c),c),product(product(c,b),b))
    | product(product(product(a,c),c),product(product(c,b),b)) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))),product(product(a,b),product(c,b))) ),[0],$fot(product(product(product(a,c),c),product(product(c,b),b)))]]) ).

cnf(refute_0_7307,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))) != product(product(a,b),product(c,b))
    | product(product(product(a,c),c),product(product(c,b),b)) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))),product(product(product(a,c),c),product(product(c,b),b))) )],[refute_0_7305,refute_0_7306]) ).

cnf(refute_0_7308,plain,
    product(product(product(a,c),c),product(product(c,b),b)) = product(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,b),product(a,c)))),product(product(a,b),product(c,b))) )],[refute_0_7301,refute_0_7307]) ).

cnf(refute_0_7309,plain,
    ( product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),b)))) != product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),b)))),product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))) ),[0,1,1],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_7310,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),b)))) != product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,b),product(c,b))) )],[refute_0_7308,refute_0_7309]) ).

cnf(refute_0_7311,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(product(a,c),c),product(product(c,b),b)))),product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))) )],[refute_0_7297,refute_0_7310]) ).

cnf(refute_0_7312,plain,
    product(product(product(c,b),b),product(a,c)) = product(product(product(c,b),a),product(b,c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(c,b))),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_7313,plain,
    product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7314,plain,
    ( product(product(product(c,b),b),product(a,c)) != product(product(product(c,b),a),product(b,c))
    | product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c))) ),[1,0],$fot(product(product(product(c,b),a),product(b,c)))]]) ).

cnf(refute_0_7315,plain,
    ( product(product(product(c,b),b),product(a,c)) != product(product(product(c,b),a),product(b,c))
    | product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c))) )],[refute_0_7313,refute_0_7314]) ).

cnf(refute_0_7316,plain,
    product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(a,c)),product(product(product(c,b),a),product(b,c))) )],[refute_0_7312,refute_0_7315]) ).

cnf(refute_0_7317,plain,
    product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(product(c,b),b))),bind(B,$fot(product(a,c))),bind(C,$fot(product(product(a,c),c))),bind(D,$fot(c))]]) ).

cnf(refute_0_7318,plain,
    ( product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)))),bind(Y,$fot(product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)))),bind(Z,$fot(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_7319,plain,
    ( product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c))) )],[refute_0_7317,refute_0_7318]) ).

cnf(refute_0_7320,plain,
    product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),product(a,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7316,refute_0_7319]) ).

cnf(refute_0_7321,plain,
    ( product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) != product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))) ),[1],$fot(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7322,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) != product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7320,refute_0_7321]) ).

cnf(refute_0_7323,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),product(product(product(product(c,b),b),product(product(a,c),c)),product(product(a,c),c))) )],[refute_0_7311,refute_0_7322]) ).

cnf(refute_0_7324,plain,
    product(product(product(a,c),c),product(product(a,c),b)) = product(product(a,c),product(c,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(product(a,c))),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_7325,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(product(a,c),c),product(product(a,c),b)) != product(product(a,c),product(c,b))
    | product(product(product(a,c),c),product(product(a,c),b)) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),product(product(a,c),b)))),bind(Y,$fot(product(product(a,c),product(c,b)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_7326,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(product(a,c),c),product(product(a,c),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,c),b)),product(product(a,c),product(c,b))) )],[refute_0_7324,refute_0_7325]) ).

cnf(refute_0_7327,plain,
    product(product(product(a,c),c),product(product(a,c),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_7326]) ).

cnf(refute_0_7328,plain,
    product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(product(product(a,c),c),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_7329,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,c),c),product(product(a,b),product(c,b))) != product(product(product(a,c),c),product(product(a,b),product(c,b)))
    | product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(product(product(a,c),c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),product(product(a,b),product(c,b))),product(product(product(a,c),c),product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_7330,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(product(product(a,c),c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,b),product(c,b))),product(product(product(a,c),c),product(product(a,b),product(c,b)))) )],[refute_0_7328,refute_0_7329]) ).

cnf(refute_0_7331,plain,
    product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(product(product(a,c),c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_7330]) ).

cnf(refute_0_7332,plain,
    ( product(product(product(a,c),c),product(product(a,b),product(c,b))) != product(product(product(a,c),c),product(product(a,c),b))
    | product(product(product(a,c),c),product(product(a,c),b)) != product(a,b)
    | product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),product(product(a,b),product(c,b))))),bind(Y,$fot(product(product(product(a,c),c),product(product(a,c),b)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_7333,plain,
    ( product(product(product(a,c),c),product(product(a,c),b)) != product(a,b)
    | product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,b),product(c,b))),product(product(product(a,c),c),product(product(a,c),b))) )],[refute_0_7331,refute_0_7332]) ).

cnf(refute_0_7334,plain,
    product(product(product(a,c),c),product(product(a,b),product(c,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,c),b)),product(a,b)) )],[refute_0_7327,refute_0_7333]) ).

cnf(refute_0_7335,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))))]]) ).

cnf(refute_0_7336,plain,
    ( product(product(product(a,c),c),product(product(a,b),product(c,b))) != product(a,b)
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) != quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b))))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = quotient(product(product(a,c),c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b))))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_7337,plain,
    ( product(product(product(a,c),c),product(product(a,b),product(c,b))) != product(a,b)
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = quotient(product(product(a,c),c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b))))) )],[refute_0_7335,refute_0_7336]) ).

cnf(refute_0_7338,plain,
    quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) = quotient(product(product(a,c),c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,b),product(c,b))),product(a,b)) )],[refute_0_7334,refute_0_7337]) ).

cnf(refute_0_7339,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) != quotient(product(product(a,c),c),product(a,b))
    | quotient(product(product(a,c),c),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) ),[0],$fot(quotient(product(product(a,c),c),product(a,b)))]]) ).

cnf(refute_0_7340,plain,
    ( quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7338,refute_0_7339]) ).

cnf(refute_0_7341,plain,
    quotient(product(product(a,c),c),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(product(product(a,c),c),product(product(a,b),product(c,b)))),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7323,refute_0_7340]) ).

cnf(refute_0_7342,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) = quotient(product(product(a,c),c),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(product(a,c),c),product(a,b)))),bind(Y,$fot(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))))]]) ).

cnf(refute_0_7343,plain,
    product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) = quotient(product(product(a,c),c),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7341,refute_0_7342]) ).

cnf(refute_0_7344,plain,
    ( bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) != quotient(product(product(a,c),c),product(a,b))
    | bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) = quotient(product(product(a,c),c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) ),[0],$fot(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7345,plain,
    ( bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) = quotient(product(product(a,c),c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7343,refute_0_7344]) ).

cnf(refute_0_7346,plain,
    bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) = quotient(product(product(a,c),c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7296,refute_0_7345]) ).

cnf(refute_0_7347,plain,
    bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) = bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(product(product(a,c),c))),bind(C,$fot(difference(c,product(product(product(c,b),a),product(b,c)))))]]) ).

cnf(refute_0_7348,plain,
    ( bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) != bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))
    | bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) != quotient(product(product(a,c),c),product(a,b))
    | bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))) = quotient(product(product(a,c),c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) ),[0],$fot(bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))))]]) ).

cnf(refute_0_7349,plain,
    ( bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)) != quotient(product(product(a,c),c),product(a,b))
    | bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))) = quotient(product(product(a,c),c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)),bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))) )],[refute_0_7347,refute_0_7348]) ).

cnf(refute_0_7350,plain,
    bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))) = quotient(product(product(a,c),c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,product(product(product(c,b),a),product(b,c))),product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7346,refute_0_7349]) ).

cnf(refute_0_7351,plain,
    ( bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))) != quotient(product(product(a,c),c),product(a,b))
    | difference(product(c,product(product(a,c),c)),bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))) != product(difference(c,product(product(product(c,b),a),product(b,c))),c)
    | difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(product(a,c),c)),bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))),product(difference(c,product(product(product(c,b),a),product(b,c))),c)) ),[0,1],$fot(quotient(product(product(a,c),c),product(a,b)))]]) ).

cnf(refute_0_7352,plain,
    ( difference(product(c,product(product(a,c),c)),bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))) != product(difference(c,product(product(product(c,b),a),product(b,c))),c)
    | difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c)))),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7350,refute_0_7351]) ).

cnf(refute_0_7353,plain,
    difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),c)),bigC(c,product(product(a,c),c),difference(c,product(product(product(c,b),a),product(b,c))))),product(difference(c,product(product(product(c,b),a),product(b,c))),c)) )],[refute_0_7295,refute_0_7352]) ).

cnf(refute_0_7354,plain,
    product(c,product(product(a,c),c)) = bigC(c,c,product(a,c)),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(c)),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_7355,plain,
    difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_7356,plain,
    ( difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) != difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b)))
    | product(c,product(product(a,c),c)) != bigC(c,c,product(a,c))
    | difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))),difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b)))) ),[1,0],$fot(bigC(c,c,product(a,c)))]]) ).

cnf(refute_0_7357,plain,
    ( product(c,product(product(a,c),c)) != bigC(c,c,product(a,c))
    | difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))),difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_7355,refute_0_7356]) ).

cnf(refute_0_7358,plain,
    difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) = difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),c)),bigC(c,c,product(a,c))) )],[refute_0_7354,refute_0_7357]) ).

cnf(refute_0_7359,plain,
    ( difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) != difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b)))
    | difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) != product(difference(c,product(product(product(c,b),a),product(b,c))),c)
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))),product(difference(c,product(product(product(c,b),a),product(b,c))),c)) ),[0],$fot(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_7360,plain,
    ( difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))) != product(difference(c,product(product(product(c,b),a),product(b,c))),c)
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))),difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_7358,refute_0_7359]) ).

cnf(refute_0_7361,plain,
    difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = product(difference(c,product(product(product(c,b),a),product(b,c))),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),c)),quotient(product(product(a,c),c),product(a,b))),product(difference(c,product(product(product(c,b),a),product(b,c))),c)) )],[refute_0_7353,refute_0_7360]) ).

cnf(refute_0_7362,plain,
    product(difference(c,product(product(product(c,b),a),product(b,c))),c) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(product(product(c,b),a),product(b,c)))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_7363,plain,
    ( difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) != product(difference(c,product(product(product(c,b),a),product(b,c))),c)
    | product(difference(c,product(product(product(c,b),a),product(b,c))),c) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[0],$fot(product(difference(c,product(product(product(c,b),a),product(b,c))),c))]]) ).

cnf(refute_0_7364,plain,
    ( difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) != product(difference(c,product(product(product(c,b),a),product(b,c))),c)
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(product(product(c,b),a),product(b,c))),c),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7362,refute_0_7363]) ).

cnf(refute_0_7365,plain,
    difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),product(difference(c,product(product(product(c,b),a),product(b,c))),c)) )],[refute_0_7361,refute_0_7364]) ).

cnf(refute_0_7366,plain,
    difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_7367,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) != difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b)))
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b)))) ),[1,0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_7368,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_7366,refute_0_7367]) ).

cnf(refute_0_7369,plain,
    difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,a,c),c)) )],[refute_0_1615,refute_0_7368]) ).

cnf(refute_0_7370,plain,
    ( difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) != difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b)))
    | difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[0],$fot(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_7371,plain,
    ( difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_7369,refute_0_7370]) ).

cnf(refute_0_7372,plain,
    difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,c,product(a,c)),quotient(product(product(a,c),c),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7365,refute_0_7371]) ).

cnf(refute_0_7373,plain,
    quotient(product(product(a,c),c),product(a,b)) = quotient(product(product(a,c),c),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),c),product(a,b)))]]) ).

cnf(refute_0_7374,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(product(a,c),c),product(a,b)) != quotient(product(product(a,c),c),product(a,b))
    | quotient(product(product(a,c),c),product(a,b)) = quotient(product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),quotient(product(product(a,c),c),product(a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7375,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(product(a,c),c),product(a,b)) = quotient(product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7373,refute_0_7374]) ).

cnf(refute_0_7376,plain,
    quotient(product(product(a,c),c),product(a,b)) = quotient(product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_7375]) ).

cnf(refute_0_7377,plain,
    difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_7378,plain,
    ( difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) != difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b)))
    | quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b)))) ),[1,1],$fot(quotient(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_7379,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_7377,refute_0_7378]) ).

cnf(refute_0_7380,plain,
    difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),quotient(product(a,product(b,c)),product(a,b))) )],[refute_0_7376,refute_0_7379]) ).

cnf(refute_0_7381,plain,
    ( difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) != difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b)))
    | difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[0],$fot(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_7382,plain,
    ( difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_7380,refute_0_7381]) ).

cnf(refute_0_7383,plain,
    difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(product(a,c),c),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7372,refute_0_7382]) ).

cnf(refute_0_7384,plain,
    difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_7385,plain,
    ( difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) != difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b)))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_7386,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_7384,refute_0_7385]) ).

cnf(refute_0_7387,plain,
    difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(a,a,b),c)) )],[refute_0_1622,refute_0_7386]) ).

cnf(refute_0_7388,plain,
    ( difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) != difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b)))
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[0],$fot(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_7389,plain,
    ( difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_7387,refute_0_7388]) ).

cnf(refute_0_7390,plain,
    difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),c),quotient(product(a,product(b,c)),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7383,refute_0_7389]) ).

cnf(refute_0_7391,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_7392,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),quotient(product(a,product(b,c)),product(a,b))) )],[refute_0_7376,refute_0_7391]) ).

cnf(refute_0_7393,plain,
    product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7394,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) ),[1,1],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_7395,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7393,refute_0_7394]) ).

cnf(refute_0_7396,plain,
    product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_7395]) ).

cnf(refute_0_7397,plain,
    ( product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) != product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c))
    | quotient(product(a,product(b,c)),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) ),[1],$fot(product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_7398,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c))) )],[refute_0_7396,refute_0_7397]) ).

cnf(refute_0_7399,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))
    | quotient(product(a,product(b,c)),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7392,refute_0_7398]) ).

cnf(refute_0_7400,plain,
    quotient(product(a,product(b,c)),product(a,b)) = product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))) )],[refute_0_7341,refute_0_7399]) ).

cnf(refute_0_7401,plain,
    product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)))]]) ).

cnf(refute_0_7402,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))
    | product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(a,a,b),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) ),[1,1],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_7403,plain,
    ( product(product(b,bigC(c,a,b)),c) != product(product(b,c),c)
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(a,a,b),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c))) )],[refute_0_7401,refute_0_7402]) ).

cnf(refute_0_7404,plain,
    product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) = product(bigC(a,a,b),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),c),product(product(b,c),c)) )],[refute_0_4556,refute_0_7403]) ).

cnf(refute_0_7405,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != product(bigC(a,a,b),product(product(b,c),c))
    | product(bigC(a,a,b),product(product(b,c),c)) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) ),[0],$fot(product(bigC(a,a,b),product(product(b,c),c)))]]) ).

cnf(refute_0_7406,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | product(bigC(a,a,b),product(product(b,c),c)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),product(bigC(a,a,b),product(product(b,c),c))) )],[refute_0_7404,refute_0_7405]) ).

cnf(refute_0_7407,plain,
    ( bigC(c,a,b) != c
    | product(bigC(a,a,b),product(product(b,c),c)) != bigC(c,a,b)
    | product(bigC(a,a,b),product(product(b,c),c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(b,c),c)),bigC(c,a,b)) ),[1],$fot(c)]]) ).

cnf(refute_0_7408,plain,
    ( product(bigC(a,a,b),product(product(b,c),c)) != bigC(c,a,b)
    | product(bigC(a,a,b),product(product(b,c),c)) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_7407]) ).

cnf(refute_0_7409,plain,
    ( product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)) != bigC(c,a,b)
    | product(bigC(a,a,b),product(product(b,c),c)) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,c),c)),bigC(c,a,b)) )],[refute_0_7406,refute_0_7408]) ).

cnf(refute_0_7410,plain,
    product(bigC(a,a,b),product(product(b,c),c)) = c,
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,bigC(c,a,b)),c)),bigC(c,a,b)) )],[refute_0_4537,refute_0_7409]) ).

cnf(refute_0_7411,plain,
    product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) = product(bigC(a,a,b),product(product(b,c),c)),
    inference(subst,[],[refute_0_6439:[bind(B,$fot(product(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_7412,plain,
    ( product(bigC(a,a,b),product(product(b,c),c)) != c
    | product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) != product(bigC(a,a,b),product(product(b,c),c))
    | product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)))),bind(Y,$fot(product(bigC(a,a,b),product(product(b,c),c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_7413,plain,
    ( product(bigC(a,a,b),product(product(b,c),c)) != c
    | product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)),product(bigC(a,a,b),product(product(b,c),c))) )],[refute_0_7411,refute_0_7412]) ).

cnf(refute_0_7414,plain,
    product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) = c,
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(b,c),c)),c) )],[refute_0_7410,refute_0_7413]) ).

cnf(refute_0_7415,plain,
    ( product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)) != c
    | quotient(product(a,product(b,c)),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c))
    | quotient(product(a,product(b,c)),product(a,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c))) ),[1],$fot(c)]]) ).

cnf(refute_0_7416,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c))
    | quotient(product(a,product(b,c)),product(a,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c)),c) )],[refute_0_7414,refute_0_7415]) ).

cnf(refute_0_7417,plain,
    quotient(product(a,product(b,c)),product(a,b)) = c,
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),product(product(product(product(c,b),a),product(b,c)),product(product(a,product(b,c)),c))) )],[refute_0_7400,refute_0_7416]) ).

cnf(refute_0_7418,plain,
    difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_7419,plain,
    ( difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) != difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b)))
    | quotient(product(a,product(b,c)),product(a,b)) != c
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_7420,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != c
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_7418,refute_0_7419]) ).

cnf(refute_0_7421,plain,
    difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = difference(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),c) )],[refute_0_7417,refute_0_7420]) ).

cnf(refute_0_7422,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,product(c,product(c,a)))
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) != difference(product(bigC(a,a,b),c),c)
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))))),bind(Y,$fot(difference(product(bigC(a,a,b),c),c))),bind(Z,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_7423,plain,
    ( difference(product(bigC(a,a,b),c),c) != product(c,product(c,product(c,a)))
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),difference(product(bigC(a,a,b),c),c)) )],[refute_0_7421,refute_0_7422]) ).

cnf(refute_0_7424,plain,
    difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),c),product(c,product(c,product(c,a)))) )],[refute_0_5427,refute_0_7423]) ).

cnf(refute_0_7425,plain,
    ( difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) != product(c,product(c,product(c,a)))
    | product(c,product(c,product(c,a))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_7426,plain,
    ( difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | product(c,product(c,product(c,a))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),product(c,product(c,product(c,a)))) )],[refute_0_7424,refute_0_7425]) ).

cnf(refute_0_7427,plain,
    product(c,product(c,product(c,a))) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),c),quotient(product(a,product(b,c)),product(a,b))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7390,refute_0_7426]) ).

cnf(refute_0_7428,plain,
    quotient(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),c)) = product(product(product(c,b),a),product(b,c)),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(product(c,b),a),product(b,c)))),bind(B,$fot(product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7429,plain,
    ( product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) != quotient(product(product(a,c),c),product(a,b))
    | quotient(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = product(product(product(c,b),a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),c)),product(product(product(c,b),a),product(b,c))) ),[0,0],$fot(quotient(product(product(a,c),c),product(a,b)))]]) ).

cnf(refute_0_7430,plain,
    ( quotient(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = product(product(product(c,b),a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7343,refute_0_7429]) ).

cnf(refute_0_7431,plain,
    quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = product(product(product(c,b),a),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),product(product(product(a,c),c),c)),product(product(product(c,b),a),product(b,c))) )],[refute_0_7428,refute_0_7430]) ).

cnf(refute_0_7432,plain,
    quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7433,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) != quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c))
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c))) ),[1,1],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_7434,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c))) )],[refute_0_7432,refute_0_7433]) ).

cnf(refute_0_7435,plain,
    quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_7434]) ).

cnf(refute_0_7436,plain,
    quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)))]]) ).

cnf(refute_0_7437,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) != quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c))) ),[1,0],$fot(quotient(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_7438,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c))) )],[refute_0_7436,refute_0_7437]) ).

cnf(refute_0_7439,plain,
    quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),quotient(product(a,product(b,c)),product(a,b))) )],[refute_0_7376,refute_0_7438]) ).

cnf(refute_0_7440,plain,
    ( quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) != quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) != quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)))),bind(Y,$fot(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)))),bind(Z,$fot(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))))]]) ).

cnf(refute_0_7441,plain,
    ( quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)) != quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c))) )],[refute_0_7439,refute_0_7440]) ).

cnf(refute_0_7442,plain,
    quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))) )],[refute_0_7435,refute_0_7441]) ).

cnf(refute_0_7443,plain,
    ( quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) != quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = product(product(product(c,b),a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),product(product(product(c,b),a),product(b,c))) ),[0],$fot(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_7444,plain,
    ( quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = product(product(product(c,b),a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))) )],[refute_0_7442,refute_0_7443]) ).

cnf(refute_0_7445,plain,
    quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = product(product(product(c,b),a),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(product(a,c),c),product(a,b)),product(product(product(a,c),c),c)),product(product(product(c,b),a),product(b,c))) )],[refute_0_7431,refute_0_7444]) ).

cnf(refute_0_7446,plain,
    quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_7447,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != c
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) != quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = quotient(c,product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7448,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != c
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = quotient(c,product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c))) )],[refute_0_7446,refute_0_7447]) ).

cnf(refute_0_7449,plain,
    quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) = quotient(c,product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),c) )],[refute_0_7417,refute_0_7448]) ).

cnf(refute_0_7450,plain,
    ( quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) != quotient(c,product(product(a,product(b,c)),c))
    | quotient(c,product(product(a,product(b,c)),c)) = product(product(product(c,b),a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),product(product(product(c,b),a),product(b,c))) ),[0],$fot(quotient(c,product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_7451,plain,
    ( quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(c,product(product(a,product(b,c)),c)) = product(product(product(c,b),a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),quotient(c,product(product(a,product(b,c)),c))) )],[refute_0_7449,refute_0_7450]) ).

cnf(refute_0_7452,plain,
    quotient(c,product(product(a,product(b,c)),c)) = product(product(product(c,b),a),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,c)),product(a,b)),product(product(a,product(b,c)),c)),product(product(product(c,b),a),product(b,c))) )],[refute_0_7445,refute_0_7451]) ).

cnf(refute_0_7453,plain,
    quotient(c,product(product(a,product(b,c)),c)) = quotient(c,product(product(a,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(quotient(c,product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_7454,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | quotient(c,product(product(a,product(b,c)),c)) != quotient(c,product(product(a,product(b,c)),c))
    | quotient(c,product(product(a,product(b,c)),c)) = quotient(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(a,product(b,c)),c)),quotient(c,product(product(a,product(b,c)),c))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_7455,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | quotient(c,product(product(a,product(b,c)),c)) = quotient(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(a,product(b,c)),c)),quotient(c,product(product(a,product(b,c)),c))) )],[refute_0_7453,refute_0_7454]) ).

cnf(refute_0_7456,plain,
    quotient(c,product(product(a,product(b,c)),c)) = quotient(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_7455]) ).

cnf(refute_0_7457,plain,
    ( quotient(c,product(product(a,product(b,c)),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(c,product(product(a,product(b,c)),c)) != quotient(c,bigC(a,b,product(a,b)))
    | quotient(c,bigC(a,b,product(a,b))) = product(product(product(c,b),a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(a,product(b,c)),c)),product(product(product(c,b),a),product(b,c))) ),[0],$fot(quotient(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7458,plain,
    ( quotient(c,product(product(a,product(b,c)),c)) != product(product(product(c,b),a),product(b,c))
    | quotient(c,bigC(a,b,product(a,b))) = product(product(product(c,b),a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(a,product(b,c)),c)),quotient(c,bigC(a,b,product(a,b)))) )],[refute_0_7456,refute_0_7457]) ).

cnf(refute_0_7459,plain,
    quotient(c,bigC(a,b,product(a,b))) = product(product(product(c,b),a),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(a,product(b,c)),c)),product(product(product(c,b),a),product(b,c))) )],[refute_0_7452,refute_0_7458]) ).

cnf(refute_0_7460,plain,
    ( quotient(c,bigC(a,b,product(a,b))) != product(product(product(c,b),a),product(b,c))
    | product(product(product(c,b),a),product(b,c)) = quotient(c,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(c,bigC(a,b,product(a,b))))),bind(Y,$fot(product(product(product(c,b),a),product(b,c))))]]) ).

cnf(refute_0_7461,plain,
    product(product(product(c,b),a),product(b,c)) = quotient(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,product(a,b))),product(product(product(c,b),a),product(b,c))) )],[refute_0_7459,refute_0_7460]) ).

cnf(refute_0_7462,plain,
    product(product(product(product(c,b),a),product(b,c)),c) = product(product(product(product(c,b),a),product(b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),a),product(b,c)),c))]]) ).

cnf(refute_0_7463,plain,
    ( product(product(product(c,b),a),product(b,c)) != quotient(c,bigC(a,b,product(a,b)))
    | product(product(product(product(c,b),a),product(b,c)),c) != product(product(product(product(c,b),a),product(b,c)),c)
    | product(product(product(product(c,b),a),product(b,c)),c) = product(quotient(c,bigC(a,b,product(a,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),c),product(product(product(product(c,b),a),product(b,c)),c)) ),[1,0],$fot(quotient(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7464,plain,
    ( product(product(product(c,b),a),product(b,c)) != quotient(c,bigC(a,b,product(a,b)))
    | product(product(product(product(c,b),a),product(b,c)),c) = product(quotient(c,bigC(a,b,product(a,b))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),c),product(product(product(product(c,b),a),product(b,c)),c)) )],[refute_0_7462,refute_0_7463]) ).

cnf(refute_0_7465,plain,
    product(product(product(product(c,b),a),product(b,c)),c) = product(quotient(c,bigC(a,b,product(a,b))),c),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(b,c)),quotient(c,bigC(a,b,product(a,b)))) )],[refute_0_7461,refute_0_7464]) ).

cnf(refute_0_7466,plain,
    difference(c,product(product(product(product(c,b),a),product(b,c)),c)) = difference(c,product(product(product(product(c,b),a),product(b,c)),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(product(product(product(c,b),a),product(b,c)),c)))]]) ).

cnf(refute_0_7467,plain,
    ( difference(c,product(product(product(product(c,b),a),product(b,c)),c)) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | product(product(product(product(c,b),a),product(b,c)),c) != product(quotient(c,bigC(a,b,product(a,b))),c)
    | difference(c,product(product(product(product(c,b),a),product(b,c)),c)) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(product(product(c,b),a),product(b,c)),c)),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[1,1],$fot(product(quotient(c,bigC(a,b,product(a,b))),c))]]) ).

cnf(refute_0_7468,plain,
    ( product(product(product(product(c,b),a),product(b,c)),c) != product(quotient(c,bigC(a,b,product(a,b))),c)
    | difference(c,product(product(product(product(c,b),a),product(b,c)),c)) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(product(product(c,b),a),product(b,c)),c)),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7466,refute_0_7467]) ).

cnf(refute_0_7469,plain,
    difference(c,product(product(product(product(c,b),a),product(b,c)),c)) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),c),product(quotient(c,bigC(a,b,product(a,b))),c)) )],[refute_0_7465,refute_0_7468]) ).

cnf(refute_0_7470,plain,
    ( difference(c,product(product(product(product(c,b),a),product(b,c)),c)) != difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))
    | product(c,product(c,product(c,a))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | product(c,product(c,product(c,a))) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) ),[1],$fot(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)))]]) ).

cnf(refute_0_7471,plain,
    ( product(c,product(c,product(c,a))) != difference(c,product(product(product(product(c,b),a),product(b,c)),c))
    | product(c,product(c,product(c,a))) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(product(product(c,b),a),product(b,c)),c)),difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))) )],[refute_0_7469,refute_0_7470]) ).

cnf(refute_0_7472,plain,
    product(c,product(c,product(c,a))) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),difference(c,product(product(product(product(c,b),a),product(b,c)),c))) )],[refute_0_7427,refute_0_7471]) ).

cnf(refute_0_7473,plain,
    quotient(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b))) = product(product(product(b,c),c),c),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(product(b,c),c),c))),bind(B,$fot(product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_7474,plain,
    product(product(product(difference(c,bigC(c,b,c)),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = c,
    inference(subst,[],[sos07:[bind(A,$fot(difference(c,bigC(c,b,c)))),bind(B,$fot(c))]]) ).

cnf(refute_0_7475,plain,
    difference(product(c,b),bigC(c,b,difference(c,bigC(c,b,c)))) = product(difference(c,bigC(c,b,c)),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(difference(c,bigC(c,b,c))))]]) ).

cnf(refute_0_7476,plain,
    bigC(c,difference(c,bigC(c,b,c)),b) = product(bigC(c,b,c),product(b,c)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(c,b,c))),bind(X_21,$fot(c)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_7477,plain,
    difference(a,product(a,product(bigC(c,b,c),product(b,c)))) = product(bigC(c,b,c),product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_7478,plain,
    ( difference(a,product(a,product(bigC(c,b,c),product(b,c)))) != product(bigC(c,b,c),product(b,c))
    | product(a,product(bigC(c,b,c),product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | difference(a,product(a,bigC(c,b,product(b,c)))) = product(bigC(c,b,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(bigC(c,b,c),product(b,c)))),product(bigC(c,b,c),product(b,c))) ),[0,1],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_7479,plain,
    ( difference(a,product(a,product(bigC(c,b,c),product(b,c)))) != product(bigC(c,b,c),product(b,c))
    | difference(a,product(a,bigC(c,b,product(b,c)))) = product(bigC(c,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(c,b,c),product(b,c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_3031,refute_0_7478]) ).

cnf(refute_0_7480,plain,
    difference(a,product(a,bigC(c,b,product(b,c)))) = product(bigC(c,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(bigC(c,b,c),product(b,c)))),product(bigC(c,b,c),product(b,c))) )],[refute_0_7477,refute_0_7479]) ).

cnf(refute_0_7481,plain,
    difference(a,product(a,bigC(c,b,product(b,c)))) = bigC(c,b,product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_7482,plain,
    ( difference(a,product(a,bigC(c,b,product(b,c)))) != bigC(c,b,product(b,c))
    | difference(a,product(a,bigC(c,b,product(b,c)))) != product(bigC(c,b,c),product(b,c))
    | bigC(c,b,product(b,c)) = product(bigC(c,b,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,bigC(c,b,product(b,c)))),product(bigC(c,b,c),product(b,c))) ),[0],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_7483,plain,
    ( difference(a,product(a,bigC(c,b,product(b,c)))) != product(bigC(c,b,c),product(b,c))
    | bigC(c,b,product(b,c)) = product(bigC(c,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,bigC(c,b,product(b,c)))),bigC(c,b,product(b,c))) )],[refute_0_7481,refute_0_7482]) ).

cnf(refute_0_7484,plain,
    bigC(c,b,product(b,c)) = product(bigC(c,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,bigC(c,b,product(b,c)))),product(bigC(c,b,c),product(b,c))) )],[refute_0_7480,refute_0_7483]) ).

cnf(refute_0_7485,plain,
    ( bigC(c,b,product(b,c)) != product(bigC(c,b,c),product(b,c))
    | product(bigC(c,b,c),product(b,c)) = bigC(c,b,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,product(b,c)))),bind(Y,$fot(product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_7486,plain,
    product(bigC(c,b,c),product(b,c)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(bigC(c,b,c),product(b,c))) )],[refute_0_7484,refute_0_7485]) ).

cnf(refute_0_7487,plain,
    ( bigC(c,difference(c,bigC(c,b,c)),b) != product(bigC(c,b,c),product(b,c))
    | product(bigC(c,b,c),product(b,c)) != bigC(c,b,product(b,c))
    | bigC(c,difference(c,bigC(c,b,c)),b) = bigC(c,b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,difference(c,bigC(c,b,c)),b),bigC(c,b,product(b,c))) ),[0],$fot(product(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_7488,plain,
    ( bigC(c,difference(c,bigC(c,b,c)),b) != product(bigC(c,b,c),product(b,c))
    | bigC(c,difference(c,bigC(c,b,c)),b) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,c)),bigC(c,b,product(b,c))) )],[refute_0_7486,refute_0_7487]) ).

cnf(refute_0_7489,plain,
    bigC(c,difference(c,bigC(c,b,c)),b) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,bigC(c,b,c)),b),product(bigC(c,b,c),product(b,c))) )],[refute_0_7476,refute_0_7488]) ).

cnf(refute_0_7490,plain,
    bigC(c,difference(c,bigC(c,b,c)),b) = bigC(c,b,difference(c,bigC(c,b,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(difference(c,bigC(c,b,c))))]]) ).

cnf(refute_0_7491,plain,
    ( bigC(c,difference(c,bigC(c,b,c)),b) != bigC(c,b,difference(c,bigC(c,b,c)))
    | bigC(c,difference(c,bigC(c,b,c)),b) != bigC(c,b,product(b,c))
    | bigC(c,b,difference(c,bigC(c,b,c))) = bigC(c,b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,bigC(c,b,c)),b),bigC(c,b,product(b,c))) ),[0],$fot(bigC(c,b,difference(c,bigC(c,b,c))))]]) ).

cnf(refute_0_7492,plain,
    ( bigC(c,difference(c,bigC(c,b,c)),b) != bigC(c,b,product(b,c))
    | bigC(c,b,difference(c,bigC(c,b,c))) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,bigC(c,b,c)),b),bigC(c,b,difference(c,bigC(c,b,c)))) )],[refute_0_7490,refute_0_7491]) ).

cnf(refute_0_7493,plain,
    bigC(c,b,difference(c,bigC(c,b,c))) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,bigC(c,b,c)),b),bigC(c,b,product(b,c))) )],[refute_0_7489,refute_0_7492]) ).

cnf(refute_0_7494,plain,
    ( bigC(c,b,difference(c,bigC(c,b,c))) != bigC(c,b,product(b,c))
    | difference(product(c,b),bigC(c,b,difference(c,bigC(c,b,c)))) != product(difference(c,bigC(c,b,c)),c)
    | difference(product(c,b),bigC(c,b,product(b,c))) = product(difference(c,bigC(c,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,b,difference(c,bigC(c,b,c)))),product(difference(c,bigC(c,b,c)),c)) ),[0,1],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_7495,plain,
    ( difference(product(c,b),bigC(c,b,difference(c,bigC(c,b,c)))) != product(difference(c,bigC(c,b,c)),c)
    | difference(product(c,b),bigC(c,b,product(b,c))) = product(difference(c,bigC(c,b,c)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,difference(c,bigC(c,b,c))),bigC(c,b,product(b,c))) )],[refute_0_7493,refute_0_7494]) ).

cnf(refute_0_7496,plain,
    difference(product(c,b),bigC(c,b,product(b,c))) = product(difference(c,bigC(c,b,c)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,difference(c,bigC(c,b,c)))),product(difference(c,bigC(c,b,c)),c)) )],[refute_0_7475,refute_0_7495]) ).

cnf(refute_0_7497,plain,
    difference(product(c,b),bigC(c,b,product(b,c))) = product(product(b,c),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_7498,plain,
    ( difference(product(c,b),bigC(c,b,product(b,c))) != product(difference(c,bigC(c,b,c)),c)
    | difference(product(c,b),bigC(c,b,product(b,c))) != product(product(b,c),c)
    | product(product(b,c),c) = product(difference(c,bigC(c,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,b,product(b,c))),product(difference(c,bigC(c,b,c)),c)) ),[0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_7499,plain,
    ( difference(product(c,b),bigC(c,b,product(b,c))) != product(difference(c,bigC(c,b,c)),c)
    | product(product(b,c),c) = product(difference(c,bigC(c,b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,product(b,c))),product(product(b,c),c)) )],[refute_0_7497,refute_0_7498]) ).

cnf(refute_0_7500,plain,
    product(product(b,c),c) = product(difference(c,bigC(c,b,c)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,product(b,c))),product(difference(c,bigC(c,b,c)),c)) )],[refute_0_7496,refute_0_7499]) ).

cnf(refute_0_7501,plain,
    ( product(product(b,c),c) != product(difference(c,bigC(c,b,c)),c)
    | product(difference(c,bigC(c,b,c)),c) = product(product(b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(b,c),c))),bind(Y,$fot(product(difference(c,bigC(c,b,c)),c)))]]) ).

cnf(refute_0_7502,plain,
    product(difference(c,bigC(c,b,c)),c) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(difference(c,bigC(c,b,c)),c)) )],[refute_0_7500,refute_0_7501]) ).

cnf(refute_0_7503,plain,
    ( product(difference(c,bigC(c,b,c)),c) != product(product(b,c),c)
    | product(product(product(difference(c,bigC(c,b,c)),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) != c
    | product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,bigC(c,b,c)),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),c) ),[0,0,0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_7504,plain,
    ( product(product(product(difference(c,bigC(c,b,c)),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) != c
    | product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = c ),
    inference(resolve,[$cnf( $equal(product(difference(c,bigC(c,b,c)),c),product(product(b,c),c)) )],[refute_0_7502,refute_0_7503]) ).

cnf(refute_0_7505,plain,
    product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,bigC(c,b,c)),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),c) )],[refute_0_7474,refute_0_7504]) ).

cnf(refute_0_7506,plain,
    product(c,difference(c,bigC(c,b,c))) = bigC(c,b,c),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_7507,plain,
    product(c,product(c,difference(c,bigC(c,b,c)))) = product(c,product(c,difference(c,bigC(c,b,c)))),
    introduced(tautology,[refl,[$fot(product(c,product(c,difference(c,bigC(c,b,c)))))]]) ).

cnf(refute_0_7508,plain,
    ( product(c,difference(c,bigC(c,b,c))) != bigC(c,b,c)
    | product(c,product(c,difference(c,bigC(c,b,c)))) != product(c,product(c,difference(c,bigC(c,b,c))))
    | product(c,product(c,difference(c,bigC(c,b,c)))) = product(c,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,difference(c,bigC(c,b,c)))),product(c,product(c,difference(c,bigC(c,b,c))))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_7509,plain,
    ( product(c,difference(c,bigC(c,b,c))) != bigC(c,b,c)
    | product(c,product(c,difference(c,bigC(c,b,c)))) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,bigC(c,b,c)))),product(c,product(c,difference(c,bigC(c,b,c))))) )],[refute_0_7507,refute_0_7508]) ).

cnf(refute_0_7510,plain,
    product(c,product(c,difference(c,bigC(c,b,c)))) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,bigC(c,b,c))),bigC(c,b,c)) )],[refute_0_7506,refute_0_7509]) ).

cnf(refute_0_7511,plain,
    product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))))]]) ).

cnf(refute_0_7512,plain,
    ( product(c,product(c,difference(c,bigC(c,b,c)))) != product(c,bigC(c,b,c))
    | product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) != product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c)))))
    | product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c)))))) ),[1,1],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_7513,plain,
    ( product(c,product(c,difference(c,bigC(c,b,c)))) != product(c,bigC(c,b,c))
    | product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c)))))) )],[refute_0_7511,refute_0_7512]) ).

cnf(refute_0_7514,plain,
    product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,bigC(c,b,c)))),product(c,bigC(c,b,c))) )],[refute_0_7510,refute_0_7513]) ).

cnf(refute_0_7515,plain,
    ( product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) != c
    | product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) != product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))
    | product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),c) ),[0],$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_7516,plain,
    ( product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))) != c
    | product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) )],[refute_0_7514,refute_0_7515]) ).

cnf(refute_0_7517,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,product(c,difference(c,bigC(c,b,c))))),c) )],[refute_0_7505,refute_0_7516]) ).

cnf(refute_0_7518,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_7519,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))
    | product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) ),[1,1],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_7520,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(product(product(product(b,c),c),c),product(c,bigC(c,b,c)))) )],[refute_0_7518,refute_0_7519]) ).

cnf(refute_0_7521,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) = product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(b,a,b))) )],[refute_0_1637,refute_0_7520]) ).

cnf(refute_0_7522,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != c
    | product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != product(product(product(product(b,c),c),c),product(c,bigC(b,a,b)))
    | product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),c) ),[0],$fot(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))))]]) ).

cnf(refute_0_7523,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))) != c
    | product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),product(product(product(product(b,c),c),c),product(c,bigC(b,a,b)))) )],[refute_0_7521,refute_0_7522]) ).

cnf(refute_0_7524,plain,
    product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(c,b,c))),c) )],[refute_0_7517,refute_0_7523]) ).

cnf(refute_0_7525,plain,
    ( product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))) != c
    | quotient(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b))) != product(product(product(b,c),c),c)
    | quotient(c,product(c,bigC(b,a,b))) = product(product(product(b,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b))),product(product(product(b,c),c),c)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_7526,plain,
    ( quotient(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b))) != product(product(product(b,c),c),c)
    | quotient(c,product(c,bigC(b,a,b))) = product(product(product(b,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),c) )],[refute_0_7524,refute_0_7525]) ).

cnf(refute_0_7527,plain,
    quotient(c,product(c,bigC(b,a,b))) = product(product(product(b,c),c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(b,c),c),c),product(c,bigC(b,a,b))),product(c,bigC(b,a,b))),product(product(product(b,c),c),c)) )],[refute_0_7473,refute_0_7526]) ).

cnf(refute_0_7528,plain,
    ( product(product(product(b,c),c),c) != product(product(b,product(a,c)),c)
    | quotient(c,product(c,bigC(b,a,b))) != product(product(product(b,c),c),c)
    | quotient(c,product(c,bigC(b,a,b))) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,bigC(b,a,b))),product(product(product(b,c),c),c)) ),[1],$fot(product(product(b,product(a,c)),c))]]) ).

cnf(refute_0_7529,plain,
    ( quotient(c,product(c,bigC(b,a,b))) != product(product(product(b,c),c),c)
    | quotient(c,product(c,bigC(b,a,b))) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),c),product(product(b,product(a,c)),c)) )],[refute_0_7239,refute_0_7528]) ).

cnf(refute_0_7530,plain,
    quotient(c,product(c,bigC(b,a,b))) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,bigC(b,a,b))),product(product(product(b,c),c),c)) )],[refute_0_7527,refute_0_7529]) ).

cnf(refute_0_7531,plain,
    difference(c,product(product(bigC(b,a,b),c),c)) = quotient(c,product(c,bigC(b,a,b))),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(bigC(b,a,b))),bind(X_18,$fot(c))]]) ).

cnf(refute_0_7532,plain,
    ( difference(c,product(product(bigC(b,a,b),c),c)) != quotient(c,product(c,bigC(b,a,b)))
    | quotient(c,product(c,bigC(b,a,b))) != product(product(b,product(a,c)),c)
    | difference(c,product(product(bigC(b,a,b),c),c)) = product(product(b,product(a,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(bigC(b,a,b),c),c)))),bind(Y,$fot(quotient(c,product(c,bigC(b,a,b))))),bind(Z,$fot(product(product(b,product(a,c)),c)))]]) ).

cnf(refute_0_7533,plain,
    ( quotient(c,product(c,bigC(b,a,b))) != product(product(b,product(a,c)),c)
    | difference(c,product(product(bigC(b,a,b),c),c)) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(b,a,b),c),c)),quotient(c,product(c,bigC(b,a,b)))) )],[refute_0_7531,refute_0_7532]) ).

cnf(refute_0_7534,plain,
    difference(c,product(product(bigC(b,a,b),c),c)) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,bigC(b,a,b))),product(product(b,product(a,c)),c)) )],[refute_0_7530,refute_0_7533]) ).

cnf(refute_0_7535,plain,
    quotient(c,difference(product(bigC(b,a,b),c),c)) = product(bigC(b,a,b),c),
    inference(subst,[],[refute_0_362:[bind(B,$fot(c)),bind(X_6,$fot(product(bigC(b,a,b),c)))]]) ).

cnf(refute_0_7536,plain,
    difference(product(bigC(b,a,b),c),c) = product(c,product(c,quotient(bigC(b,a,b),c))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(bigC(b,a,b))),bind(X_20,$fot(c))]]) ).

cnf(refute_0_7537,plain,
    quotient(bigC(c,b,c),c) = product(c,b),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(c)),bind(X_77,$fot(b))]]) ).

cnf(refute_0_7538,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(bigC(c,b,c),c) != product(c,b)
    | quotient(bigC(b,a,b),c) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,c),c),product(c,b)) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_7539,plain,
    ( quotient(bigC(c,b,c),c) != product(c,b)
    | quotient(bigC(b,a,b),c) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_7538]) ).

cnf(refute_0_7540,plain,
    quotient(bigC(b,a,b),c) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,c),c),product(c,b)) )],[refute_0_7537,refute_0_7539]) ).

cnf(refute_0_7541,plain,
    ( difference(product(bigC(b,a,b),c),c) != product(c,product(c,quotient(bigC(b,a,b),c)))
    | quotient(bigC(b,a,b),c) != product(c,b)
    | difference(product(bigC(b,a,b),c),c) = product(c,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),product(c,product(c,quotient(bigC(b,a,b),c)))) ),[1,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7542,plain,
    ( difference(product(bigC(b,a,b),c),c) != product(c,product(c,quotient(bigC(b,a,b),c)))
    | difference(product(bigC(b,a,b),c),c) = product(c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),c),product(c,b)) )],[refute_0_7540,refute_0_7541]) ).

cnf(refute_0_7543,plain,
    difference(product(bigC(b,a,b),c),c) = product(c,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),product(c,product(c,quotient(bigC(b,a,b),c)))) )],[refute_0_7536,refute_0_7542]) ).

cnf(refute_0_7544,plain,
    bigC(bigC(b,a,c),B,product(a,b)) = product(product(bigC(b,a,c),B),product(product(a,b),bigC(b,a,c))),
    inference(subst,[],[sos08:[bind(A,$fot(bigC(b,a,c))),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_7545,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,c),B),product(product(a,b),bigC(b,a,c)))
    | product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | bigC(bigC(b,a,c),B,product(a,b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),product(product(bigC(b,a,c),B),product(product(a,b),bigC(b,a,c)))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7546,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,c),B),product(product(a,b),bigC(b,a,c)))
    | bigC(bigC(b,a,c),B,product(a,b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_7545]) ).

cnf(refute_0_7547,plain,
    bigC(bigC(b,a,c),B,product(a,b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),product(product(bigC(b,a,c),B),product(product(a,b),bigC(b,a,c)))) )],[refute_0_7544,refute_0_7546]) ).

cnf(refute_0_7548,plain,
    bigC(bigC(b,a,c),B,product(a,b)) = bigC(bigC(b,a,c),B,product(a,b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,a,c),B,product(a,b)))]]) ).

cnf(refute_0_7549,plain,
    ( bigC(b,a,c) != c
    | bigC(bigC(b,a,c),B,product(a,b)) != bigC(bigC(b,a,c),B,product(a,b))
    | bigC(bigC(b,a,c),B,product(a,b)) = bigC(c,B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),bigC(bigC(b,a,c),B,product(a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7550,plain,
    ( bigC(b,a,c) != c
    | bigC(bigC(b,a,c),B,product(a,b)) = bigC(c,B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),bigC(bigC(b,a,c),B,product(a,b))) )],[refute_0_7548,refute_0_7549]) ).

cnf(refute_0_7551,plain,
    bigC(bigC(b,a,c),B,product(a,b)) = bigC(c,B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_7550]) ).

cnf(refute_0_7552,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != bigC(c,B,product(a,b))
    | bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | bigC(c,B,product(a,b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),product(product(bigC(b,a,c),B),product(c,product(c,b)))) ),[0],$fot(bigC(c,B,product(a,b)))]]) ).

cnf(refute_0_7553,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | bigC(c,B,product(a,b)) = product(product(bigC(b,a,c),B),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),bigC(c,B,product(a,b))) )],[refute_0_7551,refute_0_7552]) ).

cnf(refute_0_7554,plain,
    product(product(c,B),product(c,product(c,b))) = product(c,product(B,product(c,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(B)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_7555,plain,
    product(bigC(b,a,c),B) = product(bigC(b,a,c),B),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),B))]]) ).

cnf(refute_0_7556,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),B) != product(bigC(b,a,c),B)
    | product(bigC(b,a,c),B) = product(c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),B),product(bigC(b,a,c),B)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7557,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),B) = product(c,B) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),B),product(bigC(b,a,c),B)) )],[refute_0_7555,refute_0_7556]) ).

cnf(refute_0_7558,plain,
    product(bigC(b,a,c),B) = product(c,B),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_7557]) ).

cnf(refute_0_7559,plain,
    product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(product(bigC(b,a,c),B),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,c),B),product(c,product(c,b))))]]) ).

cnf(refute_0_7560,plain,
    ( product(bigC(b,a,c),B) != product(c,B)
    | product(product(bigC(b,a,c),B),product(c,product(c,b))) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(product(c,B),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,c),B),product(c,product(c,b))),product(product(bigC(b,a,c),B),product(c,product(c,b)))) ),[1,0],$fot(product(c,B))]]) ).

cnf(refute_0_7561,plain,
    ( product(bigC(b,a,c),B) != product(c,B)
    | product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(product(c,B),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(c,product(c,b))),product(product(bigC(b,a,c),B),product(c,product(c,b)))) )],[refute_0_7559,refute_0_7560]) ).

cnf(refute_0_7562,plain,
    product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(product(c,B),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),B),product(c,B)) )],[refute_0_7558,refute_0_7561]) ).

cnf(refute_0_7563,plain,
    ( product(product(bigC(b,a,c),B),product(c,product(c,b))) != product(product(c,B),product(c,product(c,b)))
    | product(product(c,B),product(c,product(c,b))) != product(c,product(B,product(c,b)))
    | product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(c,product(B,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,a,c),B),product(c,product(c,b))))),bind(Y,$fot(product(product(c,B),product(c,product(c,b))))),bind(Z,$fot(product(c,product(B,product(c,b)))))]]) ).

cnf(refute_0_7564,plain,
    ( product(product(c,B),product(c,product(c,b))) != product(c,product(B,product(c,b)))
    | product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(c,product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(c,product(c,b))),product(product(c,B),product(c,product(c,b)))) )],[refute_0_7562,refute_0_7563]) ).

cnf(refute_0_7565,plain,
    product(product(bigC(b,a,c),B),product(c,product(c,b))) = product(c,product(B,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,product(c,b))),product(c,product(B,product(c,b)))) )],[refute_0_7554,refute_0_7564]) ).

cnf(refute_0_7566,plain,
    ( bigC(c,B,product(a,b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | product(product(bigC(b,a,c),B),product(c,product(c,b))) != product(c,product(B,product(c,b)))
    | bigC(c,B,product(a,b)) = product(c,product(B,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,product(a,b)),product(c,product(B,product(c,b)))) ),[0],$fot(product(product(bigC(b,a,c),B),product(c,product(c,b))))]]) ).

cnf(refute_0_7567,plain,
    ( bigC(c,B,product(a,b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | bigC(c,B,product(a,b)) = product(c,product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,c),B),product(c,product(c,b))),product(c,product(B,product(c,b)))) )],[refute_0_7565,refute_0_7566]) ).

cnf(refute_0_7568,plain,
    ( bigC(bigC(b,a,c),B,product(a,b)) != product(product(bigC(b,a,c),B),product(c,product(c,b)))
    | bigC(c,B,product(a,b)) = product(c,product(B,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(a,b)),product(product(bigC(b,a,c),B),product(c,product(c,b)))) )],[refute_0_7553,refute_0_7567]) ).

cnf(refute_0_7569,plain,
    bigC(c,B,product(a,b)) = product(c,product(B,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,c),B,product(a,b)),product(product(bigC(b,a,c),B),product(c,product(c,b)))) )],[refute_0_7547,refute_0_7568]) ).

cnf(refute_0_7570,plain,
    ( bigC(c,B,product(a,b)) != product(c,product(B,product(c,b)))
    | product(c,product(B,product(c,b))) = bigC(c,B,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,B,product(a,b)))),bind(Y,$fot(product(c,product(B,product(c,b)))))]]) ).

cnf(refute_0_7571,plain,
    product(c,product(B,product(c,b))) = bigC(c,B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(a,b)),product(c,product(B,product(c,b)))) )],[refute_0_7569,refute_0_7570]) ).

cnf(refute_0_7572,plain,
    product(c,product(c,product(c,b))) = bigC(c,c,product(a,b)),
    inference(subst,[],[refute_0_7571:[bind(B,$fot(c))]]) ).

cnf(refute_0_7573,plain,
    ( difference(product(bigC(b,a,b),c),c) != product(c,product(c,product(c,b)))
    | product(c,product(c,product(c,b))) != bigC(c,c,product(a,b))
    | difference(product(bigC(b,a,b),c),c) = bigC(c,c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,a,b),c),c),bigC(c,c,product(a,b))) ),[0],$fot(product(c,product(c,product(c,b))))]]) ).

cnf(refute_0_7574,plain,
    ( difference(product(bigC(b,a,b),c),c) != product(c,product(c,product(c,b)))
    | difference(product(bigC(b,a,b),c),c) = bigC(c,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(c,c,product(a,b))) )],[refute_0_7572,refute_0_7573]) ).

cnf(refute_0_7575,plain,
    difference(product(bigC(b,a,b),c),c) = bigC(c,c,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),product(c,product(c,product(c,b)))) )],[refute_0_7543,refute_0_7574]) ).

cnf(refute_0_7576,plain,
    ( difference(product(bigC(b,a,b),c),c) != bigC(c,c,product(a,b))
    | quotient(c,difference(product(bigC(b,a,b),c),c)) != product(bigC(b,a,b),c)
    | quotient(c,bigC(c,c,product(a,b))) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(bigC(b,a,b),c),c)),product(bigC(b,a,b),c)) ),[0,1],$fot(bigC(c,c,product(a,b)))]]) ).

cnf(refute_0_7577,plain,
    ( quotient(c,difference(product(bigC(b,a,b),c),c)) != product(bigC(b,a,b),c)
    | quotient(c,bigC(c,c,product(a,b))) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),bigC(c,c,product(a,b))) )],[refute_0_7575,refute_0_7576]) ).

cnf(refute_0_7578,plain,
    quotient(c,bigC(c,c,product(a,b))) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(bigC(b,a,b),c),c)),product(bigC(b,a,b),c)) )],[refute_0_7535,refute_0_7577]) ).

cnf(refute_0_7579,plain,
    quotient(c,bigC(c,c,product(a,b))) = quotient(c,bigC(c,c,product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(c,bigC(c,c,product(a,b))))]]) ).

cnf(refute_0_7580,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | quotient(c,bigC(c,c,product(a,b))) != quotient(c,bigC(c,c,product(a,b)))
    | quotient(c,bigC(c,c,product(a,b))) = quotient(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(c,c,product(a,b))),quotient(c,bigC(c,c,product(a,b)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_7581,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | quotient(c,bigC(c,c,product(a,b))) = quotient(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,product(a,b))),quotient(c,bigC(c,c,product(a,b)))) )],[refute_0_7579,refute_0_7580]) ).

cnf(refute_0_7582,plain,
    quotient(c,bigC(c,c,product(a,b))) = quotient(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_5916,refute_0_7581]) ).

cnf(refute_0_7583,plain,
    ( quotient(c,bigC(c,c,product(a,b))) != product(bigC(b,a,b),c)
    | quotient(c,bigC(c,c,product(a,b))) != quotient(c,bigC(a,b,product(a,b)))
    | quotient(c,bigC(a,b,product(a,b))) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(c,c,product(a,b))),product(bigC(b,a,b),c)) ),[0],$fot(quotient(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_7584,plain,
    ( quotient(c,bigC(c,c,product(a,b))) != product(bigC(b,a,b),c)
    | quotient(c,bigC(a,b,product(a,b))) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,product(a,b))),quotient(c,bigC(a,b,product(a,b)))) )],[refute_0_7582,refute_0_7583]) ).

cnf(refute_0_7585,plain,
    quotient(c,bigC(a,b,product(a,b))) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(c,c,product(a,b))),product(bigC(b,a,b),c)) )],[refute_0_7578,refute_0_7584]) ).

cnf(refute_0_7586,plain,
    product(quotient(c,bigC(a,b,product(a,b))),c) = product(quotient(c,bigC(a,b,product(a,b))),c),
    introduced(tautology,[refl,[$fot(product(quotient(c,bigC(a,b,product(a,b))),c))]]) ).

cnf(refute_0_7587,plain,
    ( product(quotient(c,bigC(a,b,product(a,b))),c) != product(quotient(c,bigC(a,b,product(a,b))),c)
    | quotient(c,bigC(a,b,product(a,b))) != product(bigC(b,a,b),c)
    | product(quotient(c,bigC(a,b,product(a,b))),c) = product(product(bigC(b,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(a,b,product(a,b))),c),product(quotient(c,bigC(a,b,product(a,b))),c)) ),[1,0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_7588,plain,
    ( quotient(c,bigC(a,b,product(a,b))) != product(bigC(b,a,b),c)
    | product(quotient(c,bigC(a,b,product(a,b))),c) = product(product(bigC(b,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,product(a,b))),c),product(quotient(c,bigC(a,b,product(a,b))),c)) )],[refute_0_7586,refute_0_7587]) ).

cnf(refute_0_7589,plain,
    product(quotient(c,bigC(a,b,product(a,b))),c) = product(product(bigC(b,a,b),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,product(a,b))),product(bigC(b,a,b),c)) )],[refute_0_7585,refute_0_7588]) ).

cnf(refute_0_7590,plain,
    difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)))]]) ).

cnf(refute_0_7591,plain,
    ( difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) != difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))
    | product(quotient(c,bigC(a,b,product(a,b))),c) != product(product(bigC(b,a,b),c),c)
    | difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = difference(c,product(product(bigC(b,a,b),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))) ),[1,1],$fot(product(product(bigC(b,a,b),c),c))]]) ).

cnf(refute_0_7592,plain,
    ( product(quotient(c,bigC(a,b,product(a,b))),c) != product(product(bigC(b,a,b),c),c)
    | difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = difference(c,product(product(bigC(b,a,b),c),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))) )],[refute_0_7590,refute_0_7591]) ).

cnf(refute_0_7593,plain,
    difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = difference(c,product(product(bigC(b,a,b),c),c)),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,product(a,b))),c),product(product(bigC(b,a,b),c),c)) )],[refute_0_7589,refute_0_7592]) ).

cnf(refute_0_7594,plain,
    ( difference(c,product(product(bigC(b,a,b),c),c)) != product(product(b,product(a,c)),c)
    | difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) != difference(c,product(product(bigC(b,a,b),c),c))
    | difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = product(product(b,product(a,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)))),bind(Y,$fot(difference(c,product(product(bigC(b,a,b),c),c)))),bind(Z,$fot(product(product(b,product(a,c)),c)))]]) ).

cnf(refute_0_7595,plain,
    ( difference(c,product(product(bigC(b,a,b),c),c)) != product(product(b,product(a,c)),c)
    | difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),difference(c,product(product(bigC(b,a,b),c),c))) )],[refute_0_7593,refute_0_7594]) ).

cnf(refute_0_7596,plain,
    difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(b,a,b),c),c)),product(product(b,product(a,c)),c)) )],[refute_0_7534,refute_0_7595]) ).

cnf(refute_0_7597,plain,
    ( difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)) != product(product(b,product(a,c)),c)
    | product(c,product(c,product(c,a))) != difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))
    | product(c,product(c,product(c,a))) = product(product(b,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,product(c,a))),difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))) ),[1],$fot(product(product(b,product(a,c)),c))]]) ).

cnf(refute_0_7598,plain,
    ( product(c,product(c,product(c,a))) != difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))
    | product(c,product(c,product(c,a))) = product(product(b,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(c,bigC(a,b,product(a,b))),c)),product(product(b,product(a,c)),c)) )],[refute_0_7596,refute_0_7597]) ).

cnf(refute_0_7599,plain,
    product(c,product(c,product(c,a))) = product(product(b,product(a,c)),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),difference(c,product(quotient(c,bigC(a,b,product(a,b))),c))) )],[refute_0_7472,refute_0_7598]) ).

cnf(refute_0_7600,plain,
    ( product(c,product(c,product(c,a))) != product(product(b,product(a,c)),c)
    | product(product(b,product(a,c)),c) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,product(c,a))))),bind(Y,$fot(product(product(b,product(a,c)),c)))]]) ).

cnf(refute_0_7601,plain,
    product(product(b,product(a,c)),c) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),product(product(b,product(a,c)),c)) )],[refute_0_7599,refute_0_7600]) ).

cnf(refute_0_7602,plain,
    product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_7603,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) != product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) ),[1,0],$fot(product(c,product(c,product(c,a))))]]) ).

cnf(refute_0_7604,plain,
    ( product(product(b,product(a,c)),c) != product(c,product(c,product(c,a)))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) )],[refute_0_7602,refute_0_7603]) ).

cnf(refute_0_7605,plain,
    product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),c),product(c,product(c,product(c,a)))) )],[refute_0_7601,refute_0_7604]) ).

cnf(refute_0_7606,plain,
    ( product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) != product(c,product(c,a))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) != product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c)))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))),bind(Y,$fot(product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_7607,plain,
    ( product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))) != product(c,product(c,a))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))),product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c)))) )],[refute_0_7605,refute_0_7606]) ).

cnf(refute_0_7608,plain,
    product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,a))),product(c,bigC(a,a,c))),product(c,product(c,a))) )],[refute_0_7294,refute_0_7607]) ).

cnf(refute_0_7609,plain,
    product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_7610,plain,
    ( product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) != product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))
    | product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) != product(c,product(c,a))
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_7611,plain,
    ( product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))) != product(c,product(c,a))
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))))) )],[refute_0_7609,refute_0_7610]) ).

cnf(refute_0_7612,plain,
    product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(product(a,product(b,c)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c))),product(c,product(c,a))) )],[refute_0_7608,refute_0_7611]) ).

cnf(refute_0_7613,plain,
    ( product(product(a,product(b,c)),product(c,product(c,a))) != product(c,bigC(a,b,c))
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) != product(product(a,product(b,c)),product(c,product(c,a)))
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(c,bigC(a,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))))),bind(Y,$fot(product(product(a,product(b,c)),product(c,product(c,a))))),bind(Z,$fot(product(c,bigC(a,b,c))))]]) ).

cnf(refute_0_7614,plain,
    ( product(product(a,product(b,c)),product(c,product(c,a))) != product(c,bigC(a,b,c))
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(c,bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),product(product(a,product(b,c)),product(c,product(c,a)))) )],[refute_0_7612,refute_0_7613]) ).

cnf(refute_0_7615,plain,
    product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) = product(c,bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(c,product(c,a))),product(c,bigC(a,b,c))) )],[refute_0_7271,refute_0_7614]) ).

cnf(refute_0_7616,plain,
    ( product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) != c
    | product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) != product(c,bigC(a,b,c))
    | product(c,bigC(a,b,c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),c) ),[0],$fot(product(c,bigC(a,b,c)))]]) ).

cnf(refute_0_7617,plain,
    ( product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))) != c
    | product(c,bigC(a,b,c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),product(c,bigC(a,b,c))) )],[refute_0_7615,refute_0_7616]) ).

cnf(refute_0_7618,plain,
    product(c,bigC(a,b,c)) = c,
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(product(b,product(a,c)),c),product(c,bigC(a,a,c)))),c) )],[refute_0_7250,refute_0_7617]) ).

cnf(refute_0_7619,plain,
    product(product(c,bigC(a,b,c)),bigC(a,a,c)) = product(product(c,bigC(a,b,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_7620,plain,
    ( product(c,bigC(a,b,c)) != c
    | product(product(c,bigC(a,b,c)),bigC(a,a,c)) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(c,bigC(a,b,c)),bigC(a,a,c)) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,b,c)),bigC(a,a,c)),product(product(c,bigC(a,b,c)),bigC(a,a,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7621,plain,
    ( product(c,bigC(a,b,c)) != c
    | product(product(c,bigC(a,b,c)),bigC(a,a,c)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,c)),bigC(a,a,c)),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_7619,refute_0_7620]) ).

cnf(refute_0_7622,plain,
    product(product(c,bigC(a,b,c)),bigC(a,a,c)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,c)),c) )],[refute_0_7618,refute_0_7621]) ).

cnf(refute_0_7623,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(product(c,bigC(a,b,c)),bigC(a,a,c)) != product(c,bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(c,bigC(a,a,c))) ),[0],$fot(product(product(c,bigC(a,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_7624,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) != product(product(c,bigC(a,b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,c)),bigC(a,a,c)),product(c,bigC(a,a,c))) )],[refute_0_7622,refute_0_7623]) ).

cnf(refute_0_7625,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(product(c,bigC(a,b,c)),bigC(a,a,c))) )],[refute_0_7151,refute_0_7624]) ).

cnf(refute_0_7626,plain,
    bigC(c,product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,a),bigC(a,b,c)))]]) ).

cnf(refute_0_7627,plain,
    ( bigC(a,b,c) != c
    | bigC(c,product(c,a),bigC(a,b,c)) != bigC(c,product(c,a),bigC(a,b,c))
    | bigC(c,product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,a),bigC(a,b,c)),bigC(c,product(c,a),bigC(a,b,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_7628,plain,
    ( bigC(a,b,c) != c
    | bigC(c,product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),bigC(a,b,c)),bigC(c,product(c,a),bigC(a,b,c))) )],[refute_0_7626,refute_0_7627]) ).

cnf(refute_0_7629,plain,
    bigC(c,product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),c),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_7628]) ).

cnf(refute_0_7630,plain,
    bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)))]]) ).

cnf(refute_0_7631,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) != bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),bigC(a,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_7632,plain,
    ( bigC(a,b,c) != c
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),bigC(a,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(bigC(a,b,c),product(c,a),bigC(a,b,c))) )],[refute_0_7630,refute_0_7631]) ).

cnf(refute_0_7633,plain,
    bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),bigC(a,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_7632]) ).

cnf(refute_0_7634,plain,
    ( bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) != bigC(c,product(c,a),bigC(a,b,c))
    | bigC(c,product(c,a),bigC(a,b,c)) != bigC(c,product(c,a),c)
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)))),bind(Y,$fot(bigC(c,product(c,a),bigC(a,b,c)))),bind(Z,$fot(bigC(c,product(c,a),c)))]]) ).

cnf(refute_0_7635,plain,
    ( bigC(c,product(c,a),bigC(a,b,c)) != bigC(c,product(c,a),c)
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(c,product(c,a),bigC(a,b,c))) )],[refute_0_7633,refute_0_7634]) ).

cnf(refute_0_7636,plain,
    bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = bigC(c,product(c,a),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),bigC(a,b,c)),bigC(c,product(c,a),c)) )],[refute_0_7629,refute_0_7635]) ).

cnf(refute_0_7637,plain,
    ( bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) != bigC(c,product(c,a),c)
    | bigC(c,product(c,a),c) != product(c,bigC(a,a,b))
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)))),bind(Y,$fot(bigC(c,product(c,a),c))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_7638,plain,
    ( bigC(c,product(c,a),c) != product(c,bigC(a,a,b))
    | bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),bigC(c,product(c,a),c)) )],[refute_0_7636,refute_0_7637]) ).

cnf(refute_0_7639,plain,
    bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),c),product(c,bigC(a,a,b))) )],[refute_0_6145,refute_0_7638]) ).

cnf(refute_0_7640,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_7641,plain,
    ( bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) != product(c,bigC(a,a,b))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) != product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c)))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c)))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_7642,plain,
    ( bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)) != product(c,bigC(a,a,b))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c)))) )],[refute_0_7640,refute_0_7641]) ).

cnf(refute_0_7643,plain,
    product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(c,bigC(a,a,b))) )],[refute_0_7639,refute_0_7642]) ).

cnf(refute_0_7644,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) != product(c,bigC(a,a,c))
    | product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) != product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c)))
    | product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(c,bigC(a,a,c))) ),[0],$fot(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_7645,plain,
    ( product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c)))) )],[refute_0_7643,refute_0_7644]) ).

cnf(refute_0_7646,plain,
    product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,b,c),product(c,a),bigC(a,b,c)),product(bigC(a,a,b),bigC(a,a,c))),product(c,bigC(a,a,c))) )],[refute_0_7625,refute_0_7645]) ).

cnf(refute_0_7647,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(a,a,c),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(a,a,c))),bind(X_23,$fot(product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_7648,plain,
    quotient(bigC(a,a,c),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(b,a,b))),bind(X_16,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_7649,plain,
    ( product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) ),[0,1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7650,plain,
    ( quotient(bigC(a,a,c),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_620,refute_0_7649]) ).

cnf(refute_0_7651,plain,
    quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(bigC(a,a,c),bigC(b,a,b)))),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_7648,refute_0_7650]) ).

cnf(refute_0_7652,plain,
    product(bigC(a,a,a),c) = product(bigC(a,a,a),c),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),c))]]) ).

cnf(refute_0_7653,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),c) != product(bigC(a,a,a),c)
    | product(bigC(a,a,a),c) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),c),product(bigC(a,a,a),c)) ),[1,0],$fot(a)]]) ).

cnf(refute_0_7654,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),c) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),c),product(bigC(a,a,a),c)) )],[refute_0_7652,refute_0_7653]) ).

cnf(refute_0_7655,plain,
    product(bigC(a,a,a),c) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_2196,refute_0_7654]) ).

cnf(refute_0_7656,plain,
    bigC(product(a,c),a,product(a,b)) = product(bigC(a,a,a),c),
    inference(subst,[],[refute_0_2777:[bind(C,$fot(a))]]) ).

cnf(refute_0_7657,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(bigC(a,a,c),product(X_42,product(b,c)))
    | product(bigC(a,a,c),product(X_42,product(b,c))) = bigC(product(a,c),X_42,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),X_42,product(a,b)))),bind(Y,$fot(product(bigC(a,a,c),product(X_42,product(b,c)))))]]) ).

cnf(refute_0_7658,plain,
    product(bigC(a,a,c),product(X_42,product(b,c))) = bigC(product(a,c),X_42,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_42,product(a,b)),product(bigC(a,a,c),product(X_42,product(b,c)))) )],[refute_0_387,refute_0_7657]) ).

cnf(refute_0_7659,plain,
    product(bigC(a,a,c),product(a,product(b,c))) = bigC(product(a,c),a,product(a,b)),
    inference(subst,[],[refute_0_7658:[bind(X_42,$fot(a))]]) ).

cnf(refute_0_7660,plain,
    ( bigC(product(a,c),a,product(a,b)) != product(bigC(a,a,a),c)
    | product(bigC(a,a,c),product(a,product(b,c))) != bigC(product(a,c),a,product(a,b))
    | product(bigC(a,a,c),product(a,product(b,c))) = product(bigC(a,a,a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),product(a,product(b,c))))),bind(Y,$fot(bigC(product(a,c),a,product(a,b)))),bind(Z,$fot(product(bigC(a,a,a),c)))]]) ).

cnf(refute_0_7661,plain,
    ( bigC(product(a,c),a,product(a,b)) != product(bigC(a,a,a),c)
    | product(bigC(a,a,c),product(a,product(b,c))) = product(bigC(a,a,a),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,product(b,c))),bigC(product(a,c),a,product(a,b))) )],[refute_0_7659,refute_0_7660]) ).

cnf(refute_0_7662,plain,
    product(bigC(a,a,c),product(a,product(b,c))) = product(bigC(a,a,a),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),a,product(a,b)),product(bigC(a,a,a),c)) )],[refute_0_7656,refute_0_7661]) ).

cnf(refute_0_7663,plain,
    ( product(bigC(a,a,a),c) != product(a,c)
    | product(bigC(a,a,c),product(a,product(b,c))) != product(bigC(a,a,a),c)
    | product(bigC(a,a,c),product(a,product(b,c))) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,a,a),c))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_7664,plain,
    ( product(bigC(a,a,a),c) != product(a,c)
    | product(bigC(a,a,c),product(a,product(b,c))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,product(b,c))),product(bigC(a,a,a),c)) )],[refute_0_7662,refute_0_7663]) ).

cnf(refute_0_7665,plain,
    product(bigC(a,a,c),product(a,product(b,c))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),c),product(a,c)) )],[refute_0_7655,refute_0_7664]) ).

cnf(refute_0_7666,plain,
    quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_7667,plain,
    ( product(bigC(a,a,c),product(a,product(b,c))) != product(a,c)
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) != quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c))))
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = quotient(bigC(a,a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))),quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_7668,plain,
    ( product(bigC(a,a,c),product(a,product(b,c))) != product(a,c)
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = quotient(bigC(a,a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))),quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c))))) )],[refute_0_7666,refute_0_7667]) ).

cnf(refute_0_7669,plain,
    quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) = quotient(bigC(a,a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,product(b,c))),product(a,c)) )],[refute_0_7665,refute_0_7668]) ).

cnf(refute_0_7670,plain,
    ( quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))
    | quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) != quotient(bigC(a,a,c),product(a,c))
    | quotient(bigC(a,a,c),product(a,c)) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) ),[0],$fot(quotient(bigC(a,a,c),product(a,c)))]]) ).

cnf(refute_0_7671,plain,
    ( quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))
    | quotient(bigC(a,a,c),product(a,c)) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))),quotient(bigC(a,a,c),product(a,c))) )],[refute_0_7669,refute_0_7670]) ).

cnf(refute_0_7672,plain,
    quotient(bigC(a,a,c),product(a,c)) = product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(bigC(a,a,c),product(a,product(b,c)))),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_7651,refute_0_7671]) ).

cnf(refute_0_7673,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))
    | product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) = quotient(bigC(a,a,c),product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(bigC(a,a,c),product(a,c)))),bind(Y,$fot(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_7674,plain,
    product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) = quotient(bigC(a,a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_7672,refute_0_7673]) ).

cnf(refute_0_7675,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(a,a,c),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))
    | product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) != quotient(bigC(a,a,c),product(a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(a,a,c),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))) ),[1,1],$fot(quotient(bigC(a,a,c),product(a,c)))]]) ).

cnf(refute_0_7676,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(a,a,c),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) )],[refute_0_7674,refute_0_7675]) ).

cnf(refute_0_7677,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(a,a,c),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))) )],[refute_0_7647,refute_0_7676]) ).

cnf(refute_0_7678,plain,
    bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) = product(product(bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,c))),bind(X_22,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7679,plain,
    ( bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) != product(product(bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),product(product(bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7680,plain,
    ( bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) != product(product(bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_620,refute_0_7679]) ).

cnf(refute_0_7681,plain,
    bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) = product(product(a,product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),product(product(bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_7678,refute_0_7680]) ).

cnf(refute_0_7682,plain,
    bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7683,plain,
    ( bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) != bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b))
    | bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) != product(product(a,product(b,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),product(product(a,product(b,c)),bigC(a,a,c))) ),[0],$fot(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)))]]) ).

cnf(refute_0_7684,plain,
    ( bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)) != product(product(a,product(b,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b))) )],[refute_0_7682,refute_0_7683]) ).

cnf(refute_0_7685,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(b,a,b),bigC(a,a,c)),product(product(a,product(b,c)),bigC(a,a,c))) )],[refute_0_7681,refute_0_7684]) ).

cnf(refute_0_7686,plain,
    product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_7687,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(product(a,product(b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) != product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) ),[1,0],$fot(product(product(a,product(b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_7688,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(product(a,product(b,c)),bigC(a,a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_7686,refute_0_7687]) ).

cnf(refute_0_7689,plain,
    product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(product(a,product(b,c)),bigC(a,a,c))) )],[refute_0_7685,refute_0_7688]) ).

cnf(refute_0_7690,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)),
    inference(subst,[],[refute_0_1611:[bind(X_21,$fot(bigC(a,a,c))),bind(X_84,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_7691,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))
    | product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) != product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))))),bind(Y,$fot(product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)))),bind(Z,$fot(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_7692,plain,
    ( product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)) != product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_7690,refute_0_7691]) ).

cnf(refute_0_7693,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),bigC(a,a,c)),product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_7689,refute_0_7692]) ).

cnf(refute_0_7694,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) != product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_7695,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_7693,refute_0_7694]) ).

cnf(refute_0_7696,plain,
    product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_7677,refute_0_7695]) ).

cnf(refute_0_7697,plain,
    bigC(a,product(b,c),product(a,c)) = bigC(a,product(a,c),product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(product(a,c))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_7698,plain,
    product(product(a,product(b,c)),bigC(a,a,c)) = bigC(a,product(b,c),product(a,c)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(a)),bind(X_22,$fot(product(b,c))),bind(X_86,$fot(c))]]) ).

cnf(refute_0_7699,plain,
    ( bigC(a,product(b,c),product(a,c)) != bigC(a,product(a,c),product(b,c))
    | product(product(a,product(b,c)),bigC(a,a,c)) != bigC(a,product(b,c),product(a,c))
    | product(product(a,product(b,c)),bigC(a,a,c)) = bigC(a,product(a,c),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),bigC(a,a,c)))),bind(Y,$fot(bigC(a,product(b,c),product(a,c)))),bind(Z,$fot(bigC(a,product(a,c),product(b,c))))]]) ).

cnf(refute_0_7700,plain,
    ( bigC(a,product(b,c),product(a,c)) != bigC(a,product(a,c),product(b,c))
    | product(product(a,product(b,c)),bigC(a,a,c)) = bigC(a,product(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,product(b,c),product(a,c))) )],[refute_0_7698,refute_0_7699]) ).

cnf(refute_0_7701,plain,
    product(product(a,product(b,c)),bigC(a,a,c)) = bigC(a,product(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,c)),bigC(a,product(a,c),product(b,c))) )],[refute_0_7697,refute_0_7700]) ).

cnf(refute_0_7702,plain,
    product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_7703,plain,
    ( product(product(a,product(b,c)),bigC(a,a,c)) != bigC(a,product(a,c),product(b,c))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))) ),[1,0],$fot(bigC(a,product(a,c),product(b,c)))]]) ).

cnf(refute_0_7704,plain,
    ( product(product(a,product(b,c)),bigC(a,a,c)) != bigC(a,product(a,c),product(b,c))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c))) )],[refute_0_7702,refute_0_7703]) ).

cnf(refute_0_7705,plain,
    product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,product(a,c),product(b,c))) )],[refute_0_7701,refute_0_7704]) ).

cnf(refute_0_7706,plain,
    ( product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_7707,plain,
    ( product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c))) )],[refute_0_7705,refute_0_7706]) ).

cnf(refute_0_7708,plain,
    product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_7696,refute_0_7707]) ).

cnf(refute_0_7709,plain,
    bigC(a,product(c,a),c) = bigC(a,c,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_7710,plain,
    product(bigC(a,a,c),product(c,a)) = bigC(a,product(c,a),c),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(c)),bind(X_44,$fot(a)),bind(X_45,$fot(c))]]) ).

cnf(refute_0_7711,plain,
    ( bigC(a,product(c,a),c) != bigC(a,c,product(c,a))
    | product(bigC(a,a,c),product(c,a)) != bigC(a,product(c,a),c)
    | product(bigC(a,a,c),product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),product(c,a)))),bind(Y,$fot(bigC(a,product(c,a),c))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_7712,plain,
    ( bigC(a,product(c,a),c) != bigC(a,c,product(c,a))
    | product(bigC(a,a,c),product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,a)),bigC(a,product(c,a),c)) )],[refute_0_7710,refute_0_7711]) ).

cnf(refute_0_7713,plain,
    product(bigC(a,a,c),product(c,a)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),c),bigC(a,c,product(c,a))) )],[refute_0_7709,refute_0_7712]) ).

cnf(refute_0_7714,plain,
    quotient(bigC(a,a,c),difference(product(c,a),bigC(a,a,c))) = product(c,a),
    inference(subst,[],[refute_0_362:[bind(B,$fot(bigC(a,a,c))),bind(X_6,$fot(product(c,a)))]]) ).

cnf(refute_0_7715,plain,
    difference(product(c,a),difference(product(c,product(c,a)),product(c,a))) = product(product(c,a),quotient(c,product(c,a))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(c,a))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_7716,plain,
    difference(product(c,product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),quotient(c,product(c,a)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(c)),bind(X_20,$fot(product(c,a)))]]) ).

cnf(refute_0_7717,plain,
    ( difference(product(c,product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),quotient(c,product(c,a))))
    | quotient(c,product(c,a)) != product(a,b)
    | difference(product(c,product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),quotient(c,product(c,a))))) ),[1,1,1],$fot(product(a,b))]]) ).

cnf(refute_0_7718,plain,
    ( difference(product(c,product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),quotient(c,product(c,a))))
    | difference(product(c,product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_7717]) ).

cnf(refute_0_7719,plain,
    difference(product(c,product(c,a)),product(c,a)) = product(product(c,a),product(product(c,a),product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),quotient(c,product(c,a))))) )],[refute_0_7716,refute_0_7718]) ).

cnf(refute_0_7720,plain,
    product(product(c,a),product(a,c)) = bigC(c,a,a),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(a))]]) ).

cnf(refute_0_7721,plain,
    product(product(c,a),product(product(c,a),product(a,b))) = product(product(c,a),product(product(c,a),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(product(c,a),product(a,b))))]]) ).

cnf(refute_0_7722,plain,
    ( product(product(c,a),product(a,b)) != product(a,c)
    | product(product(c,a),product(product(c,a),product(a,b))) != product(product(c,a),product(product(c,a),product(a,b)))
    | product(product(c,a),product(product(c,a),product(a,b))) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(c,a),product(a,b))),product(product(c,a),product(product(c,a),product(a,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_7723,plain,
    ( product(product(c,a),product(a,b)) != product(a,c)
    | product(product(c,a),product(product(c,a),product(a,b))) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(a,b))),product(product(c,a),product(product(c,a),product(a,b)))) )],[refute_0_7721,refute_0_7722]) ).

cnf(refute_0_7724,plain,
    product(product(c,a),product(product(c,a),product(a,b))) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),product(a,c)) )],[refute_0_4667,refute_0_7723]) ).

cnf(refute_0_7725,plain,
    ( product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(c,a),product(product(c,a),product(a,b))) != product(product(c,a),product(a,c))
    | product(product(c,a),product(product(c,a),product(a,b))) = bigC(c,a,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(product(c,a),product(a,b))))),bind(Y,$fot(product(product(c,a),product(a,c)))),bind(Z,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_7726,plain,
    ( product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(c,a),product(product(c,a),product(a,b))) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(a,b))),product(product(c,a),product(a,c))) )],[refute_0_7724,refute_0_7725]) ).

cnf(refute_0_7727,plain,
    product(product(c,a),product(product(c,a),product(a,b))) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(c,a,a)) )],[refute_0_7720,refute_0_7726]) ).

cnf(refute_0_7728,plain,
    ( difference(product(c,product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(a,b)))
    | product(product(c,a),product(product(c,a),product(a,b))) != bigC(c,a,a)
    | difference(product(c,product(c,a)),product(c,a)) = bigC(c,a,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,a)),product(c,a)),bigC(c,a,a)) ),[0],$fot(product(product(c,a),product(product(c,a),product(a,b))))]]) ).

cnf(refute_0_7729,plain,
    ( difference(product(c,product(c,a)),product(c,a)) != product(product(c,a),product(product(c,a),product(a,b)))
    | difference(product(c,product(c,a)),product(c,a)) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,a),product(a,b))),bigC(c,a,a)) )],[refute_0_7727,refute_0_7728]) ).

cnf(refute_0_7730,plain,
    difference(product(c,product(c,a)),product(c,a)) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),product(c,a)),product(product(c,a),product(product(c,a),product(a,b)))) )],[refute_0_7719,refute_0_7729]) ).

cnf(refute_0_7731,plain,
    quotient(product(bigC(c,a,a),bigC(b,b,c)),bigC(b,b,c)) = bigC(c,a,a),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(c,a,a))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_7732,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) = product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(product(a,b),product(c,b)))),bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_7733,plain,
    difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),quotient(product(product(c,a),b),product(a,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(product(c,a),b))),bind(X_20,$fot(product(a,b)))]]) ).

cnf(refute_0_7734,plain,
    quotient(product(product(c,a),b),difference(product(c,b),product(product(c,a),b))) = product(c,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(product(c,a),b))),bind(X_6,$fot(product(c,b)))]]) ).

cnf(refute_0_7735,plain,
    ( difference(product(c,b),product(product(c,a),b)) != product(a,b)
    | quotient(product(product(c,a),b),difference(product(c,b),product(product(c,a),b))) != product(c,b)
    | quotient(product(product(c,a),b),product(a,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),difference(product(c,b),product(product(c,a),b))),product(c,b)) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_7736,plain,
    ( quotient(product(product(c,a),b),difference(product(c,b),product(product(c,a),b))) != product(c,b)
    | quotient(product(product(c,a),b),product(a,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),product(a,b)) )],[refute_0_1396,refute_0_7735]) ).

cnf(refute_0_7737,plain,
    quotient(product(product(c,a),b),product(a,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),difference(product(c,b),product(product(c,a),b))),product(c,b)) )],[refute_0_7734,refute_0_7736]) ).

cnf(refute_0_7738,plain,
    ( difference(product(product(product(c,a),b),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),quotient(product(product(c,a),b),product(a,b))))
    | quotient(product(product(c,a),b),product(a,b)) != product(c,b)
    | difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),quotient(product(product(c,a),b),product(a,b))))) ),[1,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7739,plain,
    ( difference(product(product(product(c,a),b),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),quotient(product(product(c,a),b),product(a,b))))
    | difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),product(c,b)) )],[refute_0_7737,refute_0_7738]) ).

cnf(refute_0_7740,plain,
    difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = product(product(a,b),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),quotient(product(product(c,a),b),product(a,b))))) )],[refute_0_7733,refute_0_7739]) ).

cnf(refute_0_7741,plain,
    product(product(product(c,a),a),product(b,b)) = product(product(product(c,a),a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),a),product(b,b)))]]) ).

cnf(refute_0_7742,plain,
    ( product(b,b) != b
    | product(product(product(c,a),a),product(b,b)) != product(product(product(c,a),a),product(b,b))
    | product(product(product(c,a),a),product(b,b)) = product(product(product(c,a),a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),a),product(b,b)),product(product(product(c,a),a),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_7743,plain,
    ( product(b,b) != b
    | product(product(product(c,a),a),product(b,b)) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(b,b)),product(product(product(c,a),a),product(b,b))) )],[refute_0_7741,refute_0_7742]) ).

cnf(refute_0_7744,plain,
    product(product(product(c,a),a),product(b,b)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_7743]) ).

cnf(refute_0_7745,plain,
    product(product(product(c,a),b),product(a,b)) = product(product(product(c,a),a),product(b,b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(c,a))),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_7746,plain,
    ( product(product(product(c,a),a),product(b,b)) != product(product(product(c,a),a),b)
    | product(product(product(c,a),b),product(a,b)) != product(product(product(c,a),a),product(b,b))
    | product(product(product(c,a),b),product(a,b)) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),product(a,b)))),bind(Y,$fot(product(product(product(c,a),a),product(b,b)))),bind(Z,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_7747,plain,
    ( product(product(product(c,a),a),product(b,b)) != product(product(product(c,a),a),b)
    | product(product(product(c,a),b),product(a,b)) = product(product(product(c,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(a,b)),product(product(product(c,a),a),product(b,b))) )],[refute_0_7745,refute_0_7746]) ).

cnf(refute_0_7748,plain,
    product(product(product(c,a),b),product(a,b)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),product(b,b)),product(product(product(c,a),a),b)) )],[refute_0_7744,refute_0_7747]) ).

cnf(refute_0_7749,plain,
    difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = difference(product(product(product(c,a),b),product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(c,a),b),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_7750,plain,
    ( difference(product(product(product(c,a),b),product(a,b)),product(a,b)) != difference(product(product(product(c,a),b),product(a,b)),product(a,b))
    | product(product(product(c,a),b),product(a,b)) != product(product(product(c,a),a),b)
    | difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = difference(product(product(product(c,a),a),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),difference(product(product(product(c,a),b),product(a,b)),product(a,b))) ),[1,0],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_7751,plain,
    ( product(product(product(c,a),b),product(a,b)) != product(product(product(c,a),a),b)
    | difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = difference(product(product(product(c,a),a),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),difference(product(product(product(c,a),b),product(a,b)),product(a,b))) )],[refute_0_7749,refute_0_7750]) ).

cnf(refute_0_7752,plain,
    difference(product(product(product(c,a),b),product(a,b)),product(a,b)) = difference(product(product(product(c,a),a),b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(a,b)),product(product(product(c,a),a),b)) )],[refute_0_7748,refute_0_7751]) ).

cnf(refute_0_7753,plain,
    ( difference(product(product(product(c,a),b),product(a,b)),product(a,b)) != difference(product(product(product(c,a),a),b),product(a,b))
    | difference(product(product(product(c,a),b),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(c,b)))
    | difference(product(product(product(c,a),a),b),product(a,b)) = product(product(a,b),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(c,b)))) ),[0],$fot(difference(product(product(product(c,a),a),b),product(a,b)))]]) ).

cnf(refute_0_7754,plain,
    ( difference(product(product(product(c,a),b),product(a,b)),product(a,b)) != product(product(a,b),product(product(a,b),product(c,b)))
    | difference(product(product(product(c,a),a),b),product(a,b)) = product(product(a,b),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),difference(product(product(product(c,a),a),b),product(a,b))) )],[refute_0_7752,refute_0_7753]) ).

cnf(refute_0_7755,plain,
    difference(product(product(product(c,a),a),b),product(a,b)) = product(product(a,b),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(a,b)),product(a,b)),product(product(a,b),product(product(a,b),product(c,b)))) )],[refute_0_7740,refute_0_7754]) ).

cnf(refute_0_7756,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,b),product(product(a,b),product(c,b)))
    | product(product(a,b),product(product(a,b),product(c,b))) = difference(product(product(product(c,a),a),b),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(product(product(c,a),a),b),product(a,b)))),bind(Y,$fot(product(product(a,b),product(product(a,b),product(c,b)))))]]) ).

cnf(refute_0_7757,plain,
    product(product(a,b),product(product(a,b),product(c,b))) = difference(product(product(product(c,a),a),b),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(product(a,b),product(c,b)))) )],[refute_0_7755,refute_0_7756]) ).

cnf(refute_0_7758,plain,
    ( product(product(a,b),product(product(a,b),product(c,b))) != difference(product(product(product(c,a),a),b),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))) ),[0,1],$fot(difference(product(product(product(c,a),a),b),product(a,b)))]]) ).

cnf(refute_0_7759,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),difference(product(product(product(c,a),a),b),product(a,b))) )],[refute_0_7757,refute_0_7758]) ).

cnf(refute_0_7760,plain,
    quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))) )],[refute_0_7732,refute_0_7759]) ).

cnf(refute_0_7761,plain,
    quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(product(c,a),a),b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,b))),bind(X_6,$fot(product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_7762,plain,
    ( quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(product(c,a),a),b)
    | product(product(product(c,a),a),b) = product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))) ),[0],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_7763,plain,
    ( quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | product(product(product(c,a),a),b) = product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),product(product(product(c,a),a),b)) )],[refute_0_7761,refute_0_7762]) ).

cnf(refute_0_7764,plain,
    bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),X_22),product(product(a,c),product(c,b))),
    inference(subst,[],[sos08:[bind(A,$fot(product(c,b))),bind(B,$fot(X_22)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_7765,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),X_22),product(product(a,c),product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(product(c,b),X_22),product(product(a,c),product(c,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_7766,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),X_22),product(product(a,c),product(c,b)))
    | bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_7765]) ).

cnf(refute_0_7767,plain,
    bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),X_22),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(product(c,b),X_22),product(product(a,c),product(c,b)))) )],[refute_0_7764,refute_0_7766]) ).

cnf(refute_0_7768,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),X_22),product(a,b))
    | product(product(product(c,b),X_22),product(a,b)) = bigC(product(c,b),X_22,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(c,b),X_22,product(a,c)))),bind(Y,$fot(product(product(product(c,b),X_22),product(a,b))))]]) ).

cnf(refute_0_7769,plain,
    product(product(product(c,b),X_22),product(a,b)) = bigC(product(c,b),X_22,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(product(c,b),X_22),product(a,b))) )],[refute_0_7767,refute_0_7768]) ).

cnf(refute_0_7770,plain,
    product(product(product(c,b),product(a,b)),product(a,b)) = bigC(product(c,b),product(a,b),product(a,c)),
    inference(subst,[],[refute_0_7769:[bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_7771,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) = product(product(product(c,b),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_7772,plain,
    ( product(product(product(c,b),product(a,b)),product(a,b)) != bigC(product(c,b),product(a,b),product(a,c))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != product(product(product(c,b),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) = bigC(product(c,b),product(a,b),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))))),bind(Y,$fot(product(product(product(c,b),product(a,b)),product(a,b)))),bind(Z,$fot(bigC(product(c,b),product(a,b),product(a,c))))]]) ).

cnf(refute_0_7773,plain,
    ( product(product(product(c,b),product(a,b)),product(a,b)) != bigC(product(c,b),product(a,b),product(a,c))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) = bigC(product(c,b),product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),product(product(product(c,b),product(a,b)),product(a,b))) )],[refute_0_7771,refute_0_7772]) ).

cnf(refute_0_7774,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) = bigC(product(c,b),product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,b)),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))) )],[refute_0_7770,refute_0_7773]) ).

cnf(refute_0_7775,plain,
    product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) = quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),
    inference(subst,[],[refute_0_2169:[bind(B,$fot(product(product(a,b),product(c,b)))),bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_7776,plain,
    ( product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) != quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b))))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != bigC(product(c,b),product(a,b),product(a,c))
    | product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) = bigC(product(c,b),product(a,b),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)))),bind(Y,$fot(quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))))),bind(Z,$fot(bigC(product(c,b),product(a,b),product(a,c))))]]) ).

cnf(refute_0_7777,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != bigC(product(c,b),product(a,b),product(a,c))
    | product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) = bigC(product(c,b),product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)),quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b))))) )],[refute_0_7775,refute_0_7776]) ).

cnf(refute_0_7778,plain,
    product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) = bigC(product(c,b),product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),bigC(product(c,b),product(a,b),product(a,c))) )],[refute_0_7774,refute_0_7777]) ).

cnf(refute_0_7779,plain,
    ( product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)) != bigC(product(c,b),product(a,b),product(a,c))
    | product(product(product(c,a),a),b) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | product(product(product(c,a),a),b) = bigC(product(c,b),product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),a),b),product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))) ),[1],$fot(bigC(product(c,b),product(a,b),product(a,c)))]]) ).

cnf(refute_0_7780,plain,
    ( product(product(product(c,a),a),b) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | product(product(product(c,a),a),b) = bigC(product(c,b),product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))) )],[refute_0_7778,refute_0_7779]) ).

cnf(refute_0_7781,plain,
    ( quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))
    | product(product(product(c,a),a),b) = bigC(product(c,b),product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))) )],[refute_0_7763,refute_0_7780]) ).

cnf(refute_0_7782,plain,
    product(product(product(c,a),a),b) = bigC(product(c,b),product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),product(product(difference(product(a,b),product(product(a,b),product(c,b))),product(a,b)),product(a,b))) )],[refute_0_7760,refute_0_7781]) ).

cnf(refute_0_7783,plain,
    bigC(product(c,b),difference(product(c,b),product(product(c,a),b)),X_45) = product(product(product(c,a),b),product(X_45,product(c,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(product(c,a),b))),bind(X_21,$fot(product(c,b))),bind(X_23,$fot(X_45))]]) ).

cnf(refute_0_7784,plain,
    ( bigC(product(c,b),difference(product(c,b),product(product(c,a),b)),X_45) != product(product(product(c,a),b),product(X_45,product(c,b)))
    | difference(product(c,b),product(product(c,a),b)) != product(a,b)
    | bigC(product(c,b),product(a,b),X_45) = product(product(product(c,a),b),product(X_45,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),product(product(c,a),b)),X_45),product(product(product(c,a),b),product(X_45,product(c,b)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_7785,plain,
    ( bigC(product(c,b),difference(product(c,b),product(product(c,a),b)),X_45) != product(product(product(c,a),b),product(X_45,product(c,b)))
    | bigC(product(c,b),product(a,b),X_45) = product(product(product(c,a),b),product(X_45,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),product(a,b)) )],[refute_0_1396,refute_0_7784]) ).

cnf(refute_0_7786,plain,
    bigC(product(c,b),product(a,b),X_45) = product(product(product(c,a),b),product(X_45,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),product(product(c,a),b)),X_45),product(product(product(c,a),b),product(X_45,product(c,b)))) )],[refute_0_7783,refute_0_7785]) ).

cnf(refute_0_7787,plain,
    bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(product(product(c,a),b),product(product(X_63,X_64),product(c,b))),
    inference(subst,[],[refute_0_7786:[bind(X_45,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_7788,plain,
    product(product(X_63,X_64),product(c,b)) = product(product(X_63,c),product(X_64,b)),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_7789,plain,
    ( bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(product(product(c,a),b),product(product(X_63,X_64),product(c,b)))
    | product(product(X_63,X_64),product(c,b)) != product(product(X_63,c),product(X_64,b))
    | bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(product(product(c,a),b),product(product(X_63,X_64),product(c,b)))) ),[1,1],$fot(product(product(X_63,c),product(X_64,b)))]]) ).

cnf(refute_0_7790,plain,
    ( bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(product(product(c,a),b),product(product(X_63,X_64),product(c,b)))
    | bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(c,b)),product(product(X_63,c),product(X_64,b))) )],[refute_0_7788,refute_0_7789]) ).

cnf(refute_0_7791,plain,
    bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(product(product(c,a),b),product(product(X_63,X_64),product(c,b)))) )],[refute_0_7787,refute_0_7790]) ).

cnf(refute_0_7792,plain,
    product(b,product(X_64,b)) = bigC(b,b,X_64),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(b)),bind(X_23,$fot(X_64))]]) ).

cnf(refute_0_7793,plain,
    product(bigC(c,a,X_63),product(b,product(X_64,b))) = product(bigC(c,a,X_63),product(b,product(X_64,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,X_63),product(b,product(X_64,b))))]]) ).

cnf(refute_0_7794,plain,
    ( product(b,product(X_64,b)) != bigC(b,b,X_64)
    | product(bigC(c,a,X_63),product(b,product(X_64,b))) != product(bigC(c,a,X_63),product(b,product(X_64,b)))
    | product(bigC(c,a,X_63),product(b,product(X_64,b))) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,X_63),product(b,product(X_64,b))),product(bigC(c,a,X_63),product(b,product(X_64,b)))) ),[1,1],$fot(bigC(b,b,X_64))]]) ).

cnf(refute_0_7795,plain,
    ( product(b,product(X_64,b)) != bigC(b,b,X_64)
    | product(bigC(c,a,X_63),product(b,product(X_64,b))) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,X_63),product(b,product(X_64,b))),product(bigC(c,a,X_63),product(b,product(X_64,b)))) )],[refute_0_7793,refute_0_7794]) ).

cnf(refute_0_7796,plain,
    product(bigC(c,a,X_63),product(b,product(X_64,b))) = product(bigC(c,a,X_63),bigC(b,b,X_64)),
    inference(resolve,[$cnf( $equal(product(b,product(X_64,b)),bigC(b,b,X_64)) )],[refute_0_7792,refute_0_7795]) ).

cnf(refute_0_7797,plain,
    product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) = product(bigC(c,a,X_63),product(b,product(X_64,b))),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(X_63)),bind(X_65,$fot(b)),bind(X_66,$fot(product(X_64,b)))]]) ).

cnf(refute_0_7798,plain,
    ( product(bigC(c,a,X_63),product(b,product(X_64,b))) != product(bigC(c,a,X_63),bigC(b,b,X_64))
    | product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) != product(bigC(c,a,X_63),product(b,product(X_64,b)))
    | product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))))),bind(Y,$fot(product(bigC(c,a,X_63),product(b,product(X_64,b))))),bind(Z,$fot(product(bigC(c,a,X_63),bigC(b,b,X_64))))]]) ).

cnf(refute_0_7799,plain,
    ( product(bigC(c,a,X_63),product(b,product(X_64,b))) != product(bigC(c,a,X_63),bigC(b,b,X_64))
    | product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))),product(bigC(c,a,X_63),product(b,product(X_64,b)))) )],[refute_0_7797,refute_0_7798]) ).

cnf(refute_0_7800,plain,
    product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) = product(bigC(c,a,X_63),bigC(b,b,X_64)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,X_63),product(b,product(X_64,b))),product(bigC(c,a,X_63),bigC(b,b,X_64))) )],[refute_0_7796,refute_0_7799]) ).

cnf(refute_0_7801,plain,
    ( bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(product(product(c,a),b),product(product(X_63,c),product(X_64,b)))
    | product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))) != product(bigC(c,a,X_63),bigC(b,b,X_64))
    | bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(bigC(c,a,X_63),bigC(b,b,X_64))) ),[0],$fot(product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))))]]) ).

cnf(refute_0_7802,plain,
    ( bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(product(product(c,a),b),product(product(X_63,c),product(X_64,b)))
    | bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(X_63,c),product(X_64,b))),product(bigC(c,a,X_63),bigC(b,b,X_64))) )],[refute_0_7800,refute_0_7801]) ).

cnf(refute_0_7803,plain,
    bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(bigC(c,a,X_63),bigC(b,b,X_64)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(product(product(c,a),b),product(product(X_63,c),product(X_64,b)))) )],[refute_0_7791,refute_0_7802]) ).

cnf(refute_0_7804,plain,
    bigC(product(c,b),product(a,b),product(a,c)) = product(bigC(c,a,a),bigC(b,b,c)),
    inference(subst,[],[refute_0_7803:[bind(X_63,$fot(a)),bind(X_64,$fot(c))]]) ).

cnf(refute_0_7805,plain,
    ( bigC(product(c,b),product(a,b),product(a,c)) != product(bigC(c,a,a),bigC(b,b,c))
    | product(product(product(c,a),a),b) != bigC(product(c,b),product(a,b),product(a,c))
    | product(product(product(c,a),a),b) = product(bigC(c,a,a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),a),b),bigC(product(c,b),product(a,b),product(a,c))) ),[1],$fot(product(bigC(c,a,a),bigC(b,b,c)))]]) ).

cnf(refute_0_7806,plain,
    ( product(product(product(c,a),a),b) != bigC(product(c,b),product(a,b),product(a,c))
    | product(product(product(c,a),a),b) = product(bigC(c,a,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(a,c)),product(bigC(c,a,a),bigC(b,b,c))) )],[refute_0_7804,refute_0_7805]) ).

cnf(refute_0_7807,plain,
    product(product(product(c,a),a),b) = product(bigC(c,a,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),bigC(product(c,b),product(a,b),product(a,c))) )],[refute_0_7782,refute_0_7806]) ).

cnf(refute_0_7808,plain,
    ( product(product(product(c,a),a),b) != product(bigC(c,a,a),bigC(b,b,c))
    | product(bigC(c,a,a),bigC(b,b,c)) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(product(c,a),a),b))),bind(Y,$fot(product(bigC(c,a,a),bigC(b,b,c))))]]) ).

cnf(refute_0_7809,plain,
    product(bigC(c,a,a),bigC(b,b,c)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(bigC(c,a,a),bigC(b,b,c))) )],[refute_0_7807,refute_0_7808]) ).

cnf(refute_0_7810,plain,
    ( product(bigC(c,a,a),bigC(b,b,c)) != product(product(product(c,a),a),b)
    | quotient(product(bigC(c,a,a),bigC(b,b,c)),bigC(b,b,c)) != bigC(c,a,a)
    | quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = bigC(c,a,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,a),bigC(b,b,c)),bigC(b,b,c)),bigC(c,a,a)) ),[0,0],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_7811,plain,
    ( quotient(product(bigC(c,a,a),bigC(b,b,c)),bigC(b,b,c)) != bigC(c,a,a)
    | quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),bigC(b,b,c)),product(product(product(c,a),a),b)) )],[refute_0_7809,refute_0_7810]) ).

cnf(refute_0_7812,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,a),bigC(b,b,c)),bigC(b,b,c)),bigC(c,a,a)) )],[refute_0_7731,refute_0_7811]) ).

cnf(refute_0_7813,plain,
    bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_23) = product(product(c,product(c,b)),product(X_23,product(c,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(c,product(c,b)))),bind(X_21,$fot(product(c,b)))]]) ).

cnf(refute_0_7814,plain,
    difference(product(c,b),product(product(c,a),b)) = difference(product(c,b),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(difference(product(c,b),product(product(c,a),b)))]]) ).

cnf(refute_0_7815,plain,
    ( difference(product(c,b),product(product(c,a),b)) != difference(product(c,b),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | difference(product(c,b),product(product(c,a),b)) = difference(product(c,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),difference(product(c,b),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_7816,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | difference(product(c,b),product(product(c,a),b)) = difference(product(c,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),difference(product(c,b),product(product(c,a),b))) )],[refute_0_7814,refute_0_7815]) ).

cnf(refute_0_7817,plain,
    difference(product(c,b),product(product(c,a),b)) = difference(product(c,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_7816]) ).

cnf(refute_0_7818,plain,
    ( difference(product(c,b),product(product(c,a),b)) != difference(product(c,b),product(c,product(c,b)))
    | difference(product(c,b),product(product(c,a),b)) != product(a,b)
    | difference(product(c,b),product(c,product(c,b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),product(a,b)) ),[0],$fot(difference(product(c,b),product(c,product(c,b))))]]) ).

cnf(refute_0_7819,plain,
    ( difference(product(c,b),product(product(c,a),b)) != product(a,b)
    | difference(product(c,b),product(c,product(c,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),difference(product(c,b),product(c,product(c,b)))) )],[refute_0_7817,refute_0_7818]) ).

cnf(refute_0_7820,plain,
    difference(product(c,b),product(c,product(c,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,a),b)),product(a,b)) )],[refute_0_1396,refute_0_7819]) ).

cnf(refute_0_7821,plain,
    ( bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_23) != product(product(c,product(c,b)),product(X_23,product(c,b)))
    | difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(product(c,b),product(a,b),X_23) = product(product(c,product(c,b)),product(X_23,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_23),product(product(c,product(c,b)),product(X_23,product(c,b)))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_7822,plain,
    ( bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_23) != product(product(c,product(c,b)),product(X_23,product(c,b)))
    | bigC(product(c,b),product(a,b),X_23) = product(product(c,product(c,b)),product(X_23,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,product(c,b))),product(a,b)) )],[refute_0_7820,refute_0_7821]) ).

cnf(refute_0_7823,plain,
    bigC(product(c,b),product(a,b),X_23) = product(product(c,product(c,b)),product(X_23,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),product(c,product(c,b))),X_23),product(product(c,product(c,b)),product(X_23,product(c,b)))) )],[refute_0_7813,refute_0_7822]) ).

cnf(refute_0_7824,plain,
    product(product(c,X_23),product(c,b)) = product(c,product(X_23,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(X_23)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_7825,plain,
    product(product(c,product(c,b)),product(X_23,product(c,b))) = product(product(c,X_23),product(c,b)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(X_23)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_7826,plain,
    ( product(product(c,X_23),product(c,b)) != product(c,product(X_23,b))
    | product(product(c,product(c,b)),product(X_23,product(c,b))) != product(product(c,X_23),product(c,b))
    | product(product(c,product(c,b)),product(X_23,product(c,b))) = product(c,product(X_23,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(X_23,product(c,b))))),bind(Y,$fot(product(product(c,X_23),product(c,b)))),bind(Z,$fot(product(c,product(X_23,b))))]]) ).

cnf(refute_0_7827,plain,
    ( product(product(c,X_23),product(c,b)) != product(c,product(X_23,b))
    | product(product(c,product(c,b)),product(X_23,product(c,b))) = product(c,product(X_23,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_23,product(c,b))),product(product(c,X_23),product(c,b))) )],[refute_0_7825,refute_0_7826]) ).

cnf(refute_0_7828,plain,
    product(product(c,product(c,b)),product(X_23,product(c,b))) = product(c,product(X_23,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(c,b)),product(c,product(X_23,b))) )],[refute_0_7824,refute_0_7827]) ).

cnf(refute_0_7829,plain,
    ( bigC(product(c,b),product(a,b),X_23) != product(product(c,product(c,b)),product(X_23,product(c,b)))
    | product(product(c,product(c,b)),product(X_23,product(c,b))) != product(c,product(X_23,b))
    | bigC(product(c,b),product(a,b),X_23) = product(c,product(X_23,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,b),X_23),product(c,product(X_23,b))) ),[0],$fot(product(product(c,product(c,b)),product(X_23,product(c,b))))]]) ).

cnf(refute_0_7830,plain,
    ( bigC(product(c,b),product(a,b),X_23) != product(product(c,product(c,b)),product(X_23,product(c,b)))
    | bigC(product(c,b),product(a,b),X_23) = product(c,product(X_23,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_23,product(c,b))),product(c,product(X_23,b))) )],[refute_0_7828,refute_0_7829]) ).

cnf(refute_0_7831,plain,
    bigC(product(c,b),product(a,b),X_23) = product(c,product(X_23,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),X_23),product(product(c,product(c,b)),product(X_23,product(c,b)))) )],[refute_0_7823,refute_0_7830]) ).

cnf(refute_0_7832,plain,
    bigC(product(c,b),product(a,b),product(X_63,X_64)) = product(c,product(product(X_63,X_64),b)),
    inference(subst,[],[refute_0_7831:[bind(X_23,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_7833,plain,
    ( bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(bigC(c,a,X_63),bigC(b,b,X_64))
    | bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(c,product(product(X_63,X_64),b))
    | product(c,product(product(X_63,X_64),b)) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(bigC(c,a,X_63),bigC(b,b,X_64))) ),[0],$fot(product(c,product(product(X_63,X_64),b)))]]) ).

cnf(refute_0_7834,plain,
    ( bigC(product(c,b),product(a,b),product(X_63,X_64)) != product(bigC(c,a,X_63),bigC(b,b,X_64))
    | product(c,product(product(X_63,X_64),b)) = product(bigC(c,a,X_63),bigC(b,b,X_64)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(c,product(product(X_63,X_64),b))) )],[refute_0_7832,refute_0_7833]) ).

cnf(refute_0_7835,plain,
    product(c,product(product(X_63,X_64),b)) = product(bigC(c,a,X_63),bigC(b,b,X_64)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(X_63,X_64)),product(bigC(c,a,X_63),bigC(b,b,X_64))) )],[refute_0_7803,refute_0_7834]) ).

cnf(refute_0_7836,plain,
    ( product(c,product(product(X_63,X_64),b)) != product(bigC(c,a,X_63),bigC(b,b,X_64))
    | product(bigC(c,a,X_63),bigC(b,b,X_64)) = product(c,product(product(X_63,X_64),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(product(X_63,X_64),b)))),bind(Y,$fot(product(bigC(c,a,X_63),bigC(b,b,X_64))))]]) ).

cnf(refute_0_7837,plain,
    product(bigC(c,a,X_63),bigC(b,b,X_64)) = product(c,product(product(X_63,X_64),b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(X_63,X_64),b)),product(bigC(c,a,X_63),bigC(b,b,X_64))) )],[refute_0_7835,refute_0_7836]) ).

cnf(refute_0_7838,plain,
    product(bigC(c,a,a),bigC(b,b,c)) = product(c,product(product(a,c),b)),
    inference(subst,[],[refute_0_7837:[bind(X_63,$fot(a)),bind(X_64,$fot(c))]]) ).

cnf(refute_0_7839,plain,
    ( product(bigC(c,a,a),bigC(b,b,c)) != product(c,product(product(a,c),b))
    | product(product(product(c,a),a),b) != product(bigC(c,a,a),bigC(b,b,c))
    | product(product(product(c,a),a),b) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),a),b),product(bigC(c,a,a),bigC(b,b,c))) ),[1],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_7840,plain,
    ( product(product(product(c,a),a),b) != product(bigC(c,a,a),bigC(b,b,c))
    | product(product(product(c,a),a),b) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),bigC(b,b,c)),product(c,product(product(a,c),b))) )],[refute_0_7838,refute_0_7839]) ).

cnf(refute_0_7841,plain,
    product(product(product(c,a),a),b) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(bigC(c,a,a),bigC(b,b,c))) )],[refute_0_7807,refute_0_7840]) ).

cnf(refute_0_7842,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = quotient(product(product(product(c,a),a),b),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(product(c,a),a),b),bigC(b,b,c)))]]) ).

cnf(refute_0_7843,plain,
    ( product(product(product(c,a),a),b) != product(c,product(product(a,c),b))
    | quotient(product(product(product(c,a),a),b),bigC(b,b,c)) != quotient(product(product(product(c,a),a),b),bigC(b,b,c))
    | quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,b,c)),quotient(product(product(product(c,a),a),b),bigC(b,b,c))) ),[1,0],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_7844,plain,
    ( product(product(product(c,a),a),b) != product(c,product(product(a,c),b))
    | quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,b,c)),quotient(product(product(product(c,a),a),b),bigC(b,b,c))) )],[refute_0_7842,refute_0_7843]) ).

cnf(refute_0_7845,plain,
    quotient(product(product(product(c,a),a),b),bigC(b,b,c)) = quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(c,product(product(a,c),b))) )],[refute_0_7841,refute_0_7844]) ).

cnf(refute_0_7846,plain,
    ( quotient(product(product(product(c,a),a),b),bigC(b,b,c)) != bigC(c,a,a)
    | quotient(product(product(product(c,a),a),b),bigC(b,b,c)) != quotient(product(c,product(product(a,c),b)),bigC(b,b,c))
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = bigC(c,a,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,b,c)),bigC(c,a,a)) ),[0],$fot(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)))]]) ).

cnf(refute_0_7847,plain,
    ( quotient(product(product(product(c,a),a),b),bigC(b,b,c)) != bigC(c,a,a)
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,b,c)),quotient(product(c,product(product(a,c),b)),bigC(b,b,c))) )],[refute_0_7845,refute_0_7846]) ).

cnf(refute_0_7848,plain,
    quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),bigC(b,b,c)),bigC(c,a,a)) )],[refute_0_7812,refute_0_7847]) ).

cnf(refute_0_7849,plain,
    quotient(product(bigC(a,a,c),bigC(b,b,c)),bigC(b,b,c)) = bigC(a,a,c),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_7850,plain,
    bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(product(a,product(c,b)),bigC(b,b,c)),product(a,product(c,b))),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,product(c,b)))),bind(X_22,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_7851,plain,
    product(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(c,b),b)) = product(product(a,c),b),
    inference(subst,[],[sos04:[bind(A,$fot(product(product(a,c),b))),bind(B,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7852,plain,
    quotient(product(product(product(a,c),c),product(product(c,b),b)),product(product(c,b),b)) = product(product(a,c),c),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_7853,plain,
    ( product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | quotient(product(product(product(a,c),c),product(product(c,b),b)),product(product(c,b),b)) != product(product(a,c),c)
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(a,c),c),product(product(c,b),b)),product(product(c,b),b)),product(product(a,c),c)) ),[0,0],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_7854,plain,
    ( quotient(product(product(product(a,c),c),product(product(c,b),b)),product(product(c,b),b)) != product(product(a,c),c)
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,b),product(c,b))) )],[refute_0_7308,refute_0_7853]) ).

cnf(refute_0_7855,plain,
    quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(a,c),c),product(product(c,b),b)),product(product(c,b),b)),product(product(a,c),c)) )],[refute_0_7852,refute_0_7854]) ).

cnf(refute_0_7856,plain,
    quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)))]]) ).

cnf(refute_0_7857,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) != quotient(product(product(a,b),product(c,b)),product(product(c,b),b))
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = quotient(product(product(a,c),b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),quotient(product(product(a,b),product(c,b)),product(product(c,b),b))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_7858,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = quotient(product(product(a,c),b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),quotient(product(product(a,b),product(c,b)),product(product(c,b),b))) )],[refute_0_7856,refute_0_7857]) ).

cnf(refute_0_7859,plain,
    quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) = quotient(product(product(a,c),b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_7858]) ).

cnf(refute_0_7860,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(a,c),c)
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) != quotient(product(product(a,c),b),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(c,b),b)) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(a,c),c)) ),[0],$fot(quotient(product(product(a,c),b),product(product(c,b),b)))]]) ).

cnf(refute_0_7861,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(a,c),c)
    | quotient(product(product(a,c),b),product(product(c,b),b)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),quotient(product(product(a,c),b),product(product(c,b),b))) )],[refute_0_7859,refute_0_7860]) ).

cnf(refute_0_7862,plain,
    quotient(product(product(a,c),b),product(product(c,b),b)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(a,c),c)) )],[refute_0_7855,refute_0_7861]) ).

cnf(refute_0_7863,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(product(a,c),b),product(product(c,b),b)) != product(product(a,c),c)
    | quotient(product(product(a,c),b),product(product(c,b),b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(a,c),c)) ),[1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7864,plain,
    ( quotient(product(product(a,c),b),product(product(c,b),b)) != product(product(a,c),c)
    | quotient(product(product(a,c),b),product(product(c,b),b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_7863]) ).

cnf(refute_0_7865,plain,
    quotient(product(product(a,c),b),product(product(c,b),b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(a,c),c)) )],[refute_0_7862,refute_0_7864]) ).

cnf(refute_0_7866,plain,
    ( product(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(c,b),b)) != product(product(a,c),b)
    | quotient(product(product(a,c),b),product(product(c,b),b)) != product(a,product(b,c))
    | product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(c,b),b)),product(product(a,c),b)) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_7867,plain,
    ( product(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(c,b),b)) != product(product(a,c),b)
    | product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(c,b),b)),product(a,product(b,c))) )],[refute_0_7865,refute_0_7866]) ).

cnf(refute_0_7868,plain,
    product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(c,b),b)),product(product(c,b),b)),product(product(a,c),b)) )],[refute_0_7851,refute_0_7867]) ).

cnf(refute_0_7869,plain,
    product(product(a,product(c,b)),bigC(b,c,b)) = product(product(a,product(c,b)),bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),bigC(b,c,b)))]]) ).

cnf(refute_0_7870,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(a,product(c,b)),bigC(b,c,b)) != product(product(a,product(c,b)),bigC(b,c,b))
    | product(product(a,product(c,b)),bigC(b,c,b)) = product(product(a,product(c,b)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),bigC(b,c,b)),product(product(a,product(c,b)),bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_7871,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(a,product(c,b)),bigC(b,c,b)) = product(product(a,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(b,c,b)),product(product(a,product(c,b)),bigC(b,c,b))) )],[refute_0_7869,refute_0_7870]) ).

cnf(refute_0_7872,plain,
    product(product(a,product(c,b)),bigC(b,c,b)) = product(product(a,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_7871]) ).

cnf(refute_0_7873,plain,
    product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,product(c,b)),bigC(b,c,b)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(a)),bind(C,$fot(product(c,b))),bind(D,$fot(b)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_7874,plain,
    ( product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,product(c,b)),bigC(b,c,b))
    | product(product(a,product(c,b)),bigC(b,c,b)) != product(product(a,product(c,b)),bigC(b,b,c))
    | product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,product(c,b)),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(product(c,b),b)))),bind(Y,$fot(product(product(a,product(c,b)),bigC(b,c,b)))),bind(Z,$fot(product(product(a,product(c,b)),bigC(b,b,c))))]]) ).

cnf(refute_0_7875,plain,
    ( product(product(a,product(c,b)),bigC(b,c,b)) != product(product(a,product(c,b)),bigC(b,b,c))
    | product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,product(c,b)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),b)),product(product(a,product(c,b)),bigC(b,c,b))) )],[refute_0_7873,refute_0_7874]) ).

cnf(refute_0_7876,plain,
    product(product(a,product(b,c)),product(product(c,b),b)) = product(product(a,product(c,b)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(b,c,b)),product(product(a,product(c,b)),bigC(b,b,c))) )],[refute_0_7872,refute_0_7875]) ).

cnf(refute_0_7877,plain,
    ( product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,c),b)
    | product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,product(c,b)),bigC(b,b,c))
    | product(product(a,product(c,b)),bigC(b,b,c)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),b)),product(product(a,c),b)) ),[0],$fot(product(product(a,product(c,b)),bigC(b,b,c)))]]) ).

cnf(refute_0_7878,plain,
    ( product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,c),b)
    | product(product(a,product(c,b)),bigC(b,b,c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),b)),product(product(a,product(c,b)),bigC(b,b,c))) )],[refute_0_7876,refute_0_7877]) ).

cnf(refute_0_7879,plain,
    product(product(a,product(c,b)),bigC(b,b,c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),b)),product(product(a,c),b)) )],[refute_0_7868,refute_0_7878]) ).

cnf(refute_0_7880,plain,
    ( bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(product(product(a,product(c,b)),bigC(b,b,c)),product(a,product(c,b)))
    | product(product(a,product(c,b)),bigC(b,b,c)) != product(product(a,c),b)
    | bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(product(a,c),b),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))),product(product(product(a,product(c,b)),bigC(b,b,c)),product(a,product(c,b)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_7881,plain,
    ( bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(product(product(a,product(c,b)),bigC(b,b,c)),product(a,product(c,b)))
    | bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(product(a,c),b),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(b,b,c)),product(product(a,c),b)) )],[refute_0_7879,refute_0_7880]) ).

cnf(refute_0_7882,plain,
    bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(product(a,c),b),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))),product(product(product(a,product(c,b)),bigC(b,b,c)),product(a,product(c,b)))) )],[refute_0_7850,refute_0_7881]) ).

cnf(refute_0_7883,plain,
    product(a,product(product(c,b),product(c,b))) = product(a,product(product(c,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(a,product(product(c,b),product(c,b))))]]) ).

cnf(refute_0_7884,plain,
    ( product(a,product(product(c,b),product(c,b))) != product(a,product(product(c,b),product(c,b)))
    | product(product(c,b),product(c,b)) != product(c,b)
    | product(a,product(product(c,b),product(c,b))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(c,b),product(c,b))),product(a,product(product(c,b),product(c,b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_7885,plain,
    ( product(product(c,b),product(c,b)) != product(c,b)
    | product(a,product(product(c,b),product(c,b))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,b),product(c,b))),product(a,product(product(c,b),product(c,b)))) )],[refute_0_7883,refute_0_7884]) ).

cnf(refute_0_7886,plain,
    product(a,product(product(c,b),product(c,b))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,b)),product(c,b)) )],[refute_0_987,refute_0_7885]) ).

cnf(refute_0_7887,plain,
    product(product(a,product(product(c,b),product(c,b))),c) = product(product(a,product(product(c,b),product(c,b))),c),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(c,b),product(c,b))),c))]]) ).

cnf(refute_0_7888,plain,
    ( product(a,product(product(c,b),product(c,b))) != product(a,product(c,b))
    | product(product(a,product(product(c,b),product(c,b))),c) != product(product(a,product(product(c,b),product(c,b))),c)
    | product(product(a,product(product(c,b),product(c,b))),c) = product(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(c,b),product(c,b))),c),product(product(a,product(product(c,b),product(c,b))),c)) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_7889,plain,
    ( product(a,product(product(c,b),product(c,b))) != product(a,product(c,b))
    | product(product(a,product(product(c,b),product(c,b))),c) = product(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(c,b),product(c,b))),c),product(product(a,product(product(c,b),product(c,b))),c)) )],[refute_0_7887,refute_0_7888]) ).

cnf(refute_0_7890,plain,
    product(product(a,product(product(c,b),product(c,b))),c) = product(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(a,product(product(c,b),product(c,b))),product(a,product(c,b))) )],[refute_0_7886,refute_0_7889]) ).

cnf(refute_0_7891,plain,
    bigC(product(a,b),product(a,c),product(X_63,X_64)) = product(product(a,product(b,c)),product(product(X_63,X_64),product(a,b))),
    inference(subst,[],[refute_0_127:[bind(X_45,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_7892,plain,
    product(product(X_63,X_64),product(a,b)) = product(product(X_63,a),product(X_64,b)),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_7893,plain,
    ( bigC(product(a,b),product(a,c),product(X_63,X_64)) != product(product(a,product(b,c)),product(product(X_63,X_64),product(a,b)))
    | product(product(X_63,X_64),product(a,b)) != product(product(X_63,a),product(X_64,b))
    | bigC(product(a,b),product(a,c),product(X_63,X_64)) = product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(X_63,X_64)),product(product(a,product(b,c)),product(product(X_63,X_64),product(a,b)))) ),[1,1],$fot(product(product(X_63,a),product(X_64,b)))]]) ).

cnf(refute_0_7894,plain,
    ( bigC(product(a,b),product(a,c),product(X_63,X_64)) != product(product(a,product(b,c)),product(product(X_63,X_64),product(a,b)))
    | bigC(product(a,b),product(a,c),product(X_63,X_64)) = product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(a,b)),product(product(X_63,a),product(X_64,b))) )],[refute_0_7892,refute_0_7893]) ).

cnf(refute_0_7895,plain,
    bigC(product(a,b),product(a,c),product(X_63,X_64)) = product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(X_63,X_64)),product(product(a,product(b,c)),product(product(X_63,X_64),product(a,b)))) )],[refute_0_7891,refute_0_7894]) ).

cnf(refute_0_7896,plain,
    bigC(product(a,b),product(a,c),product(X_63,X_64)) = product(product(a,product(X_63,X_64)),bigC(b,a,c)),
    inference(subst,[],[refute_0_153:[bind(X_45,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_7897,plain,
    ( bigC(product(a,b),product(a,c),product(X_63,X_64)) != product(product(a,product(X_63,X_64)),bigC(b,a,c))
    | bigC(product(a,b),product(a,c),product(X_63,X_64)) != product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(X_63,X_64)),product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))) ),[0],$fot(product(product(a,product(X_63,X_64)),bigC(b,a,c)))]]) ).

cnf(refute_0_7898,plain,
    ( bigC(product(a,b),product(a,c),product(X_63,X_64)) != product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(X_63,X_64)),product(product(a,product(X_63,X_64)),bigC(b,a,c))) )],[refute_0_7896,refute_0_7897]) ).

cnf(refute_0_7899,plain,
    product(a,product(X_63,a)) = bigC(a,a,X_63),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(a)),bind(X_23,$fot(X_63))]]) ).

cnf(refute_0_7900,plain,
    product(product(a,product(X_63,a)),bigC(b,c,X_64)) = product(product(a,product(X_63,a)),bigC(b,c,X_64)),
    introduced(tautology,[refl,[$fot(product(product(a,product(X_63,a)),bigC(b,c,X_64)))]]) ).

cnf(refute_0_7901,plain,
    ( product(a,product(X_63,a)) != bigC(a,a,X_63)
    | product(product(a,product(X_63,a)),bigC(b,c,X_64)) != product(product(a,product(X_63,a)),bigC(b,c,X_64))
    | product(product(a,product(X_63,a)),bigC(b,c,X_64)) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(X_63,a)),bigC(b,c,X_64)),product(product(a,product(X_63,a)),bigC(b,c,X_64))) ),[1,0],$fot(bigC(a,a,X_63))]]) ).

cnf(refute_0_7902,plain,
    ( product(a,product(X_63,a)) != bigC(a,a,X_63)
    | product(product(a,product(X_63,a)),bigC(b,c,X_64)) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,a)),bigC(b,c,X_64)),product(product(a,product(X_63,a)),bigC(b,c,X_64))) )],[refute_0_7900,refute_0_7901]) ).

cnf(refute_0_7903,plain,
    product(product(a,product(X_63,a)),bigC(b,c,X_64)) = product(bigC(a,a,X_63),bigC(b,c,X_64)),
    inference(resolve,[$cnf( $equal(product(a,product(X_63,a)),bigC(a,a,X_63)) )],[refute_0_7899,refute_0_7902]) ).

cnf(refute_0_7904,plain,
    product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) = product(product(a,product(X_63,a)),bigC(b,c,X_64)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(X_64)),bind(X_63,$fot(a)),bind(X_64,$fot(product(X_63,a)))]]) ).

cnf(refute_0_7905,plain,
    ( product(product(a,product(X_63,a)),bigC(b,c,X_64)) != product(bigC(a,a,X_63),bigC(b,c,X_64))
    | product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) != product(product(a,product(X_63,a)),bigC(b,c,X_64))
    | product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))))),bind(Y,$fot(product(product(a,product(X_63,a)),bigC(b,c,X_64)))),bind(Z,$fot(product(bigC(a,a,X_63),bigC(b,c,X_64))))]]) ).

cnf(refute_0_7906,plain,
    ( product(product(a,product(X_63,a)),bigC(b,c,X_64)) != product(bigC(a,a,X_63),bigC(b,c,X_64))
    | product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))),product(product(a,product(X_63,a)),bigC(b,c,X_64))) )],[refute_0_7904,refute_0_7905]) ).

cnf(refute_0_7907,plain,
    product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) = product(bigC(a,a,X_63),bigC(b,c,X_64)),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,a)),bigC(b,c,X_64)),product(bigC(a,a,X_63),bigC(b,c,X_64))) )],[refute_0_7903,refute_0_7906]) ).

cnf(refute_0_7908,plain,
    ( product(product(a,product(X_63,X_64)),bigC(b,a,c)) != product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))
    | product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))) != product(bigC(a,a,X_63),bigC(b,c,X_64))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(bigC(a,a,X_63),bigC(b,c,X_64))) ),[0],$fot(product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))))]]) ).

cnf(refute_0_7909,plain,
    ( product(product(a,product(X_63,X_64)),bigC(b,a,c)) != product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b))),product(bigC(a,a,X_63),bigC(b,c,X_64))) )],[refute_0_7907,refute_0_7908]) ).

cnf(refute_0_7910,plain,
    ( bigC(product(a,b),product(a,c),product(X_63,X_64)) != product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))) )],[refute_0_7898,refute_0_7909]) ).

cnf(refute_0_7911,plain,
    product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(bigC(a,a,X_63),bigC(b,c,X_64)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(X_63,X_64)),product(product(a,product(b,c)),product(product(X_63,a),product(X_64,b)))) )],[refute_0_7895,refute_0_7910]) ).

cnf(refute_0_7912,plain,
    product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(product(a,product(X_63,X_64)),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(X_63,X_64)),bigC(b,a,c)))]]) ).

cnf(refute_0_7913,plain,
    ( bigC(b,a,c) != c
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) != product(product(a,product(X_63,X_64)),bigC(b,a,c))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(product(a,product(X_63,X_64)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(product(a,product(X_63,X_64)),bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_7914,plain,
    ( bigC(b,a,c) != c
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(product(a,product(X_63,X_64)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(product(a,product(X_63,X_64)),bigC(b,a,c))) )],[refute_0_7912,refute_0_7913]) ).

cnf(refute_0_7915,plain,
    product(product(a,product(X_63,X_64)),bigC(b,a,c)) = product(product(a,product(X_63,X_64)),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_7914]) ).

cnf(refute_0_7916,plain,
    ( product(product(a,product(X_63,X_64)),bigC(b,a,c)) != product(bigC(a,a,X_63),bigC(b,c,X_64))
    | product(product(a,product(X_63,X_64)),bigC(b,a,c)) != product(product(a,product(X_63,X_64)),c)
    | product(product(a,product(X_63,X_64)),c) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(bigC(a,a,X_63),bigC(b,c,X_64))) ),[0],$fot(product(product(a,product(X_63,X_64)),c))]]) ).

cnf(refute_0_7917,plain,
    ( product(product(a,product(X_63,X_64)),bigC(b,a,c)) != product(bigC(a,a,X_63),bigC(b,c,X_64))
    | product(product(a,product(X_63,X_64)),c) = product(bigC(a,a,X_63),bigC(b,c,X_64)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(product(a,product(X_63,X_64)),c)) )],[refute_0_7915,refute_0_7916]) ).

cnf(refute_0_7918,plain,
    product(product(a,product(X_63,X_64)),c) = product(bigC(a,a,X_63),bigC(b,c,X_64)),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,X_64)),bigC(b,a,c)),product(bigC(a,a,X_63),bigC(b,c,X_64))) )],[refute_0_7911,refute_0_7917]) ).

cnf(refute_0_7919,plain,
    ( product(product(a,product(X_63,X_64)),c) != product(bigC(a,a,X_63),bigC(b,c,X_64))
    | product(bigC(a,a,X_63),bigC(b,c,X_64)) = product(product(a,product(X_63,X_64)),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,product(X_63,X_64)),c))),bind(Y,$fot(product(bigC(a,a,X_63),bigC(b,c,X_64))))]]) ).

cnf(refute_0_7920,plain,
    product(bigC(a,a,X_63),bigC(b,c,X_64)) = product(product(a,product(X_63,X_64)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(X_63,X_64)),c),product(bigC(a,a,X_63),bigC(b,c,X_64))) )],[refute_0_7918,refute_0_7919]) ).

cnf(refute_0_7921,plain,
    product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) = product(product(a,product(product(c,b),product(c,b))),c),
    inference(subst,[],[refute_0_7920:[bind(X_63,$fot(product(c,b))),bind(X_64,$fot(product(c,b)))]]) ).

cnf(refute_0_7922,plain,
    ( product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) != product(product(a,product(product(c,b),product(c,b))),c)
    | product(product(a,product(product(c,b),product(c,b))),c) != product(product(a,product(c,b)),c)
    | product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) = product(product(a,product(c,b)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))))),bind(Y,$fot(product(product(a,product(product(c,b),product(c,b))),c))),bind(Z,$fot(product(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_7923,plain,
    ( product(product(a,product(product(c,b),product(c,b))),c) != product(product(a,product(c,b)),c)
    | product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) = product(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))),product(product(a,product(product(c,b),product(c,b))),c)) )],[refute_0_7921,refute_0_7922]) ).

cnf(refute_0_7924,plain,
    product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) = product(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(c,b),product(c,b))),c),product(product(a,product(c,b)),c)) )],[refute_0_7890,refute_0_7923]) ).

cnf(refute_0_7925,plain,
    bigC(b,product(c,b),c) = bigC(b,c,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_7926,plain,
    product(bigC(b,b,c),product(c,b)) = bigC(b,product(c,b),c),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(c)),bind(X_44,$fot(b)),bind(X_45,$fot(c))]]) ).

cnf(refute_0_7927,plain,
    ( bigC(b,product(c,b),c) != bigC(b,c,product(c,b))
    | product(bigC(b,b,c),product(c,b)) != bigC(b,product(c,b),c)
    | product(bigC(b,b,c),product(c,b)) = bigC(b,c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,b)))),bind(Y,$fot(bigC(b,product(c,b),c))),bind(Z,$fot(bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_7928,plain,
    ( bigC(b,product(c,b),c) != bigC(b,c,product(c,b))
    | product(bigC(b,b,c),product(c,b)) = bigC(b,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,b)),bigC(b,product(c,b),c)) )],[refute_0_7926,refute_0_7927]) ).

cnf(refute_0_7929,plain,
    product(bigC(b,b,c),product(c,b)) = bigC(b,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),c),bigC(b,c,product(c,b))) )],[refute_0_7925,refute_0_7928]) ).

cnf(refute_0_7930,plain,
    product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))))]]) ).

cnf(refute_0_7931,plain,
    ( product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) != product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b)))
    | product(bigC(b,b,c),product(c,b)) != bigC(b,c,product(c,b))
    | product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))),product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b)))) ),[1,1],$fot(bigC(b,c,product(c,b)))]]) ).

cnf(refute_0_7932,plain,
    ( product(bigC(b,b,c),product(c,b)) != bigC(b,c,product(c,b))
    | product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))),product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b)))) )],[refute_0_7930,refute_0_7931]) ).

cnf(refute_0_7933,plain,
    product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_7929,refute_0_7932]) ).

cnf(refute_0_7934,plain,
    bigC(a,product(c,b),a) = bigC(a,a,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_7935,plain,
    product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))))]]) ).

cnf(refute_0_7936,plain,
    ( bigC(a,product(c,b),a) != bigC(a,a,product(c,b))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) != product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b)))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b)))) ),[1,0],$fot(bigC(a,a,product(c,b)))]]) ).

cnf(refute_0_7937,plain,
    ( bigC(a,product(c,b),a) != bigC(a,a,product(c,b))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b)))) )],[refute_0_7935,refute_0_7936]) ).

cnf(refute_0_7938,plain,
    product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),a),bigC(a,a,product(c,b))) )],[refute_0_7934,refute_0_7937]) ).

cnf(refute_0_7939,plain,
    ( product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) != product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b)))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) != product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b)))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))))),bind(Y,$fot(product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))))),bind(Z,$fot(product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b)))))]]) ).

cnf(refute_0_7940,plain,
    ( product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))) != product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b)))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b)))) )],[refute_0_7938,refute_0_7939]) ).

cnf(refute_0_7941,plain,
    product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(c,b)),product(bigC(b,b,c),product(c,b))),product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b)))) )],[refute_0_7933,refute_0_7940]) ).

cnf(refute_0_7942,plain,
    ( product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) != product(product(a,product(c,b)),c)
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) != product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b)))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(product(a,product(c,b)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))))),bind(Y,$fot(product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))))),bind(Z,$fot(product(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_7943,plain,
    ( product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))) != product(product(a,product(c,b)),c)
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b)))) )],[refute_0_7941,refute_0_7942]) ).

cnf(refute_0_7944,plain,
    product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) = product(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(c,b)),bigC(b,c,product(c,b))),product(product(a,product(c,b)),c)) )],[refute_0_7924,refute_0_7943]) ).

cnf(refute_0_7945,plain,
    bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_7946,plain,
    ( bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b)))
    | product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) != product(product(a,product(c,b)),c)
    | bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(a,product(c,b)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))))),bind(Y,$fot(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))))),bind(Z,$fot(product(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_7947,plain,
    ( product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))) != product(product(a,product(c,b)),c)
    | bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))),product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b)))) )],[refute_0_7945,refute_0_7946]) ).

cnf(refute_0_7948,plain,
    bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) = product(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(c,b),a),product(bigC(b,b,c),product(c,b))),product(product(a,product(c,b)),c)) )],[refute_0_7944,refute_0_7947]) ).

cnf(refute_0_7949,plain,
    ( bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(product(a,product(c,b)),c)
    | bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(product(product(a,c),b),product(a,product(c,b)))
    | product(product(a,product(c,b)),c) = product(product(product(a,c),b),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))),product(product(product(a,c),b),product(a,product(c,b)))) ),[0],$fot(product(product(a,product(c,b)),c))]]) ).

cnf(refute_0_7950,plain,
    ( bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(product(product(a,c),b),product(a,product(c,b)))
    | product(product(a,product(c,b)),c) = product(product(product(a,c),b),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))),product(product(a,product(c,b)),c)) )],[refute_0_7948,refute_0_7949]) ).

cnf(refute_0_7951,plain,
    product(product(product(a,c),a),bigC(b,b,c)) = product(product(product(a,c),a),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),a),bigC(b,b,c)))]]) ).

cnf(refute_0_7952,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),bigC(b,b,c)) != product(product(product(a,c),a),bigC(b,b,c))
    | product(product(product(a,c),a),bigC(b,b,c)) = product(bigC(a,a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),a),bigC(b,b,c)),product(product(product(a,c),a),bigC(b,b,c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_7953,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),bigC(b,b,c)) = product(bigC(a,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),bigC(b,b,c)),product(product(product(a,c),a),bigC(b,b,c))) )],[refute_0_7951,refute_0_7952]) ).

cnf(refute_0_7954,plain,
    product(product(product(a,c),a),bigC(b,b,c)) = product(bigC(a,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_380,refute_0_7953]) ).

cnf(refute_0_7955,plain,
    product(product(product(a,c),b),product(a,product(c,b))) = product(product(product(a,c),a),bigC(b,b,c)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_7956,plain,
    ( product(product(product(a,c),a),bigC(b,b,c)) != product(bigC(a,a,c),bigC(b,b,c))
    | product(product(product(a,c),b),product(a,product(c,b))) != product(product(product(a,c),a),bigC(b,b,c))
    | product(product(product(a,c),b),product(a,product(c,b))) = product(bigC(a,a,c),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(a,product(c,b))))),bind(Y,$fot(product(product(product(a,c),a),bigC(b,b,c)))),bind(Z,$fot(product(bigC(a,a,c),bigC(b,b,c))))]]) ).

cnf(refute_0_7957,plain,
    ( product(product(product(a,c),a),bigC(b,b,c)) != product(bigC(a,a,c),bigC(b,b,c))
    | product(product(product(a,c),b),product(a,product(c,b))) = product(bigC(a,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(c,b))),product(product(product(a,c),a),bigC(b,b,c))) )],[refute_0_7955,refute_0_7956]) ).

cnf(refute_0_7958,plain,
    product(product(product(a,c),b),product(a,product(c,b))) = product(bigC(a,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),bigC(b,b,c)),product(bigC(a,a,c),bigC(b,b,c))) )],[refute_0_7954,refute_0_7957]) ).

cnf(refute_0_7959,plain,
    ( product(product(a,product(c,b)),c) != product(product(product(a,c),b),product(a,product(c,b)))
    | product(product(product(a,c),b),product(a,product(c,b))) != product(bigC(a,a,c),bigC(b,b,c))
    | product(product(a,product(c,b)),c) = product(bigC(a,a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(c,b)),c),product(bigC(a,a,c),bigC(b,b,c))) ),[0],$fot(product(product(product(a,c),b),product(a,product(c,b))))]]) ).

cnf(refute_0_7960,plain,
    ( product(product(a,product(c,b)),c) != product(product(product(a,c),b),product(a,product(c,b)))
    | product(product(a,product(c,b)),c) = product(bigC(a,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(c,b))),product(bigC(a,a,c),bigC(b,b,c))) )],[refute_0_7958,refute_0_7959]) ).

cnf(refute_0_7961,plain,
    ( bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))) != product(product(product(a,c),b),product(a,product(c,b)))
    | product(product(a,product(c,b)),c) = product(bigC(a,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),c),product(product(product(a,c),b),product(a,product(c,b)))) )],[refute_0_7950,refute_0_7960]) ).

cnf(refute_0_7962,plain,
    product(product(a,product(c,b)),c) = product(bigC(a,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(c,b)),bigC(b,b,c),product(a,product(c,b))),product(product(product(a,c),b),product(a,product(c,b)))) )],[refute_0_7882,refute_0_7961]) ).

cnf(refute_0_7963,plain,
    ( product(product(a,product(c,b)),c) != product(bigC(a,a,c),bigC(b,b,c))
    | product(bigC(a,a,c),bigC(b,b,c)) = product(product(a,product(c,b)),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,product(c,b)),c))),bind(Y,$fot(product(bigC(a,a,c),bigC(b,b,c))))]]) ).

cnf(refute_0_7964,plain,
    product(bigC(a,a,c),bigC(b,b,c)) = product(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),c),product(bigC(a,a,c),bigC(b,b,c))) )],[refute_0_7962,refute_0_7963]) ).

cnf(refute_0_7965,plain,
    ( product(bigC(a,a,c),bigC(b,b,c)) != product(product(a,product(c,b)),c)
    | quotient(product(bigC(a,a,c),bigC(b,b,c)),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),bigC(b,b,c)),bigC(b,b,c)),bigC(a,a,c)) ),[0,0],$fot(product(product(a,product(c,b)),c))]]) ).

cnf(refute_0_7966,plain,
    ( quotient(product(bigC(a,a,c),bigC(b,b,c)),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,b,c)),product(product(a,product(c,b)),c)) )],[refute_0_7964,refute_0_7965]) ).

cnf(refute_0_7967,plain,
    quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),bigC(b,b,c)),bigC(b,b,c)),bigC(a,a,c)) )],[refute_0_7849,refute_0_7966]) ).

cnf(refute_0_7968,plain,
    difference(quotient(product(a,b),product(a,product(b,product(b,c)))),product(a,b)) = product(a,product(b,product(b,c))),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(a,product(b,product(b,c))))),bind(X_9,$fot(product(a,b)))]]) ).

cnf(refute_0_7969,plain,
    quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = product(product(difference(product(a,b),product(a,product(b,c))),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(a,product(b,c)))),bind(X_18,$fot(product(a,b)))]]) ).

cnf(refute_0_7970,plain,
    ( difference(product(a,b),product(a,product(b,c))) != product(a,c)
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != product(product(difference(product(a,b),product(a,product(b,c))),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = product(product(product(a,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),product(product(difference(product(a,b),product(a,product(b,c))),product(a,b)),product(a,b))) ),[1,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_7971,plain,
    ( quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != product(product(difference(product(a,b),product(a,product(b,c))),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = product(product(product(a,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,product(b,c))),product(a,c)) )],[refute_0_124,refute_0_7970]) ).

cnf(refute_0_7972,plain,
    quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = product(product(product(a,c),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),product(product(difference(product(a,b),product(a,product(b,c))),product(a,b)),product(a,b))) )],[refute_0_7969,refute_0_7971]) ).

cnf(refute_0_7973,plain,
    product(product(a,a),product(b,product(b,c))) = product(product(a,a),product(b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(b,product(b,c))))]]) ).

cnf(refute_0_7974,plain,
    ( product(a,a) != a
    | product(product(a,a),product(b,product(b,c))) != product(product(a,a),product(b,product(b,c)))
    | product(product(a,a),product(b,product(b,c))) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(b,product(b,c))),product(product(a,a),product(b,product(b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_7975,plain,
    ( product(a,a) != a
    | product(product(a,a),product(b,product(b,c))) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,product(b,c))),product(product(a,a),product(b,product(b,c)))) )],[refute_0_7973,refute_0_7974]) ).

cnf(refute_0_7976,plain,
    product(product(a,a),product(b,product(b,c))) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_7975]) ).

cnf(refute_0_7977,plain,
    product(product(a,b),product(a,product(b,c))) = product(product(a,a),product(b,product(b,c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_7978,plain,
    ( product(product(a,a),product(b,product(b,c))) != product(a,product(b,product(b,c)))
    | product(product(a,b),product(a,product(b,c))) != product(product(a,a),product(b,product(b,c)))
    | product(product(a,b),product(a,product(b,c))) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(a,product(b,c))))),bind(Y,$fot(product(product(a,a),product(b,product(b,c))))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_7979,plain,
    ( product(product(a,a),product(b,product(b,c))) != product(a,product(b,product(b,c)))
    | product(product(a,b),product(a,product(b,c))) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,product(b,c))),product(product(a,a),product(b,product(b,c)))) )],[refute_0_7977,refute_0_7978]) ).

cnf(refute_0_7980,plain,
    product(product(a,b),product(a,product(b,c))) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,product(b,c))),product(a,product(b,product(b,c)))) )],[refute_0_7976,refute_0_7979]) ).

cnf(refute_0_7981,plain,
    quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_7982,plain,
    ( product(product(a,b),product(a,product(b,c))) != product(a,product(b,product(b,c)))
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != quotient(product(a,b),product(product(a,b),product(a,product(b,c))))
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = quotient(product(a,b),product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),quotient(product(a,b),product(product(a,b),product(a,product(b,c))))) ),[1,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_7983,plain,
    ( product(product(a,b),product(a,product(b,c))) != product(a,product(b,product(b,c)))
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = quotient(product(a,b),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),quotient(product(a,b),product(product(a,b),product(a,product(b,c))))) )],[refute_0_7981,refute_0_7982]) ).

cnf(refute_0_7984,plain,
    quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) = quotient(product(a,b),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,product(b,c))),product(a,product(b,product(b,c)))) )],[refute_0_7980,refute_0_7983]) ).

cnf(refute_0_7985,plain,
    ( quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != quotient(product(a,b),product(a,product(b,product(b,c))))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) = product(product(product(a,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),product(product(product(a,c),product(a,b)),product(a,b))) ),[0],$fot(quotient(product(a,b),product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_7986,plain,
    ( quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) = product(product(product(a,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),quotient(product(a,b),product(a,product(b,product(b,c))))) )],[refute_0_7984,refute_0_7985]) ).

cnf(refute_0_7987,plain,
    product(product(product(a,c),a),product(product(a,b),b)) = product(product(product(a,c),a),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),a),product(product(a,b),b)))]]) ).

cnf(refute_0_7988,plain,
    ( product(product(a,c),a) != bigC(a,c,a)
    | product(product(product(a,c),a),product(product(a,b),b)) != product(product(product(a,c),a),product(product(a,b),b))
    | product(product(product(a,c),a),product(product(a,b),b)) = product(bigC(a,c,a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),a),product(product(a,b),b)),product(product(product(a,c),a),product(product(a,b),b))) ),[1,0],$fot(bigC(a,c,a))]]) ).

cnf(refute_0_7989,plain,
    ( product(product(a,c),a) != bigC(a,c,a)
    | product(product(product(a,c),a),product(product(a,b),b)) = product(bigC(a,c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(product(a,b),b)),product(product(product(a,c),a),product(product(a,b),b))) )],[refute_0_7987,refute_0_7988]) ).

cnf(refute_0_7990,plain,
    product(product(product(a,c),a),product(product(a,b),b)) = product(bigC(a,c,a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,c,a)) )],[refute_0_377,refute_0_7989]) ).

cnf(refute_0_7991,plain,
    product(product(product(a,c),product(a,b)),product(a,b)) = product(product(product(a,c),a),product(product(a,b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,c))),bind(B,$fot(a)),bind(C,$fot(product(a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_7992,plain,
    ( product(product(product(a,c),a),product(product(a,b),b)) != product(bigC(a,c,a),product(product(a,b),b))
    | product(product(product(a,c),product(a,b)),product(a,b)) != product(product(product(a,c),a),product(product(a,b),b))
    | product(product(product(a,c),product(a,b)),product(a,b)) = product(bigC(a,c,a),product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(a,b)),product(a,b)))),bind(Y,$fot(product(product(product(a,c),a),product(product(a,b),b)))),bind(Z,$fot(product(bigC(a,c,a),product(product(a,b),b))))]]) ).

cnf(refute_0_7993,plain,
    ( product(product(product(a,c),a),product(product(a,b),b)) != product(bigC(a,c,a),product(product(a,b),b))
    | product(product(product(a,c),product(a,b)),product(a,b)) = product(bigC(a,c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(a,b)),product(product(product(a,c),a),product(product(a,b),b))) )],[refute_0_7991,refute_0_7992]) ).

cnf(refute_0_7994,plain,
    product(product(product(a,c),product(a,b)),product(a,b)) = product(bigC(a,c,a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(product(a,b),b)),product(bigC(a,c,a),product(product(a,b),b))) )],[refute_0_7990,refute_0_7993]) ).

cnf(refute_0_7995,plain,
    ( product(product(product(a,c),product(a,b)),product(a,b)) != product(bigC(a,c,a),product(product(a,b),b))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(a,product(b,product(b,c)))),product(product(product(a,c),product(a,b)),product(a,b))) ),[1],$fot(product(bigC(a,c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_7996,plain,
    ( quotient(product(a,b),product(a,product(b,product(b,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(a,b)),product(bigC(a,c,a),product(product(a,b),b))) )],[refute_0_7994,refute_0_7995]) ).

cnf(refute_0_7997,plain,
    ( quotient(product(a,b),product(product(a,b),product(a,product(b,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(a,product(b,product(b,c)))),product(product(product(a,c),product(a,b)),product(a,b))) )],[refute_0_7986,refute_0_7996]) ).

cnf(refute_0_7998,plain,
    quotient(product(a,b),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(a,product(b,c)))),product(product(product(a,c),product(a,b)),product(a,b))) )],[refute_0_7972,refute_0_7997]) ).

cnf(refute_0_7999,plain,
    ( difference(quotient(product(a,b),product(a,product(b,product(b,c)))),product(a,b)) != product(a,product(b,product(b,c)))
    | quotient(product(a,b),product(a,product(b,product(b,c)))) != product(bigC(a,c,a),product(product(a,b),b))
    | difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),product(a,product(b,product(b,c)))),product(a,b)),product(a,product(b,product(b,c)))) ),[0,0],$fot(product(bigC(a,c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_8000,plain,
    ( difference(quotient(product(a,b),product(a,product(b,product(b,c)))),product(a,b)) != product(a,product(b,product(b,c)))
    | difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(a,product(b,product(b,c)))),product(bigC(a,c,a),product(product(a,b),b))) )],[refute_0_7998,refute_0_7999]) ).

cnf(refute_0_8001,plain,
    difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),product(a,product(b,product(b,c)))),product(a,b)),product(a,product(b,product(b,c)))) )],[refute_0_7968,refute_0_8000]) ).

cnf(refute_0_8002,plain,
    difference(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(a,b)) = bigC(product(a,c),product(c,b),product(a,b)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(bigC(product(a,c),product(c,b),product(a,b)))),bind(X_9,$fot(product(a,b)))]]) ).

cnf(refute_0_8003,plain,
    quotient(product(a,b),product(product(a,b),product(product(a,b),product(a,c)))) = product(product(product(a,c),product(a,b)),product(a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(a,c))),bind(X_16,$fot(product(a,b)))]]) ).

cnf(refute_0_8004,plain,
    bigC(product(a,c),product(c,b),product(a,b)) = product(product(a,b),product(product(a,b),product(a,c))),
    inference(subst,[],[refute_0_94:[bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_8005,plain,
    ( bigC(product(a,c),product(c,b),product(a,b)) != product(product(a,b),product(product(a,b),product(a,c)))
    | product(product(a,b),product(product(a,b),product(a,c))) = bigC(product(a,c),product(c,b),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(c,b),product(a,b)))),bind(Y,$fot(product(product(a,b),product(product(a,b),product(a,c)))))]]) ).

cnf(refute_0_8006,plain,
    product(product(a,b),product(product(a,b),product(a,c))) = bigC(product(a,c),product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,b)),product(product(a,b),product(product(a,b),product(a,c)))) )],[refute_0_8004,refute_0_8005]) ).

cnf(refute_0_8007,plain,
    ( product(product(a,b),product(product(a,b),product(a,c))) != bigC(product(a,c),product(c,b),product(a,b))
    | quotient(product(a,b),product(product(a,b),product(product(a,b),product(a,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(a,c)))),product(product(product(a,c),product(a,b)),product(a,b))) ),[0,1],$fot(bigC(product(a,c),product(c,b),product(a,b)))]]) ).

cnf(refute_0_8008,plain,
    ( quotient(product(a,b),product(product(a,b),product(product(a,b),product(a,c)))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(a,c))),bigC(product(a,c),product(c,b),product(a,b))) )],[refute_0_8006,refute_0_8007]) ).

cnf(refute_0_8009,plain,
    quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),product(product(a,b),product(a,c)))),product(product(product(a,c),product(a,b)),product(a,b))) )],[refute_0_8003,refute_0_8008]) ).

cnf(refute_0_8010,plain,
    ( product(product(product(a,c),product(a,b)),product(a,b)) != product(bigC(a,c,a),product(product(a,b),b))
    | quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) = product(bigC(a,c,a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(a,b)),product(a,b))) ),[1],$fot(product(bigC(a,c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_8011,plain,
    ( quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(a,b)),product(a,b))
    | quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) = product(bigC(a,c,a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),product(a,b)),product(bigC(a,c,a),product(product(a,b),b))) )],[refute_0_7994,refute_0_8010]) ).

cnf(refute_0_8012,plain,
    quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) = product(bigC(a,c,a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(a,b)),product(a,b))) )],[refute_0_8009,refute_0_8011]) ).

cnf(refute_0_8013,plain,
    ( difference(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(a,b)) != bigC(product(a,c),product(c,b),product(a,b))
    | quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))) != product(bigC(a,c,a),product(product(a,b),b))
    | difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) = bigC(product(a,c),product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(a,b)),bigC(product(a,c),product(c,b),product(a,b))) ),[0,0],$fot(product(bigC(a,c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_8014,plain,
    ( difference(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(a,b)) != bigC(product(a,c),product(c,b),product(a,b))
    | difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) = bigC(product(a,c),product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(bigC(a,c,a),product(product(a,b),b))) )],[refute_0_8012,refute_0_8013]) ).

cnf(refute_0_8015,plain,
    difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) = bigC(product(a,c),product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),bigC(product(a,c),product(c,b),product(a,b))),product(a,b)),bigC(product(a,c),product(c,b),product(a,b))) )],[refute_0_8002,refute_0_8014]) ).

cnf(refute_0_8016,plain,
    ( difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) != bigC(product(a,c),product(c,b),product(a,b))
    | difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) != product(a,product(b,product(b,c)))
    | bigC(product(a,c),product(c,b),product(a,b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)),product(a,product(b,product(b,c)))) ),[0],$fot(bigC(product(a,c),product(c,b),product(a,b)))]]) ).

cnf(refute_0_8017,plain,
    ( difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)) != product(a,product(b,product(b,c)))
    | bigC(product(a,c),product(c,b),product(a,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)),bigC(product(a,c),product(c,b),product(a,b))) )],[refute_0_8015,refute_0_8016]) ).

cnf(refute_0_8018,plain,
    bigC(product(a,c),product(c,b),product(a,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,c,a),product(product(a,b),b)),product(a,b)),product(a,product(b,product(b,c)))) )],[refute_0_8001,refute_0_8017]) ).

cnf(refute_0_8019,plain,
    bigC(product(a,c),product(c,b),product(a,b)) = bigC(product(a,c),product(a,b),product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,b))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_8020,plain,
    ( bigC(product(a,c),product(c,b),product(a,b)) != bigC(product(a,c),product(a,b),product(c,b))
    | bigC(product(a,c),product(c,b),product(a,b)) != product(a,product(b,product(b,c)))
    | bigC(product(a,c),product(a,b),product(c,b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,b)),product(a,product(b,product(b,c)))) ),[0],$fot(bigC(product(a,c),product(a,b),product(c,b)))]]) ).

cnf(refute_0_8021,plain,
    ( bigC(product(a,c),product(c,b),product(a,b)) != product(a,product(b,product(b,c)))
    | bigC(product(a,c),product(a,b),product(c,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,b)),bigC(product(a,c),product(a,b),product(c,b))) )],[refute_0_8019,refute_0_8020]) ).

cnf(refute_0_8022,plain,
    bigC(product(a,c),product(a,b),product(c,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,b)),product(a,product(b,product(b,c)))) )],[refute_0_8018,refute_0_8021]) ).

cnf(refute_0_8023,plain,
    bigC(product(a,c),product(c,B),product(a,b)) = product(bigC(a,a,c),product(product(c,B),product(b,c))),
    inference(subst,[],[refute_0_387:[bind(X_42,$fot(product(c,B)))]]) ).

cnf(refute_0_8024,plain,
    bigC(c,B,b) = product(product(c,B),product(b,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(b))]]) ).

cnf(refute_0_8025,plain,
    ( bigC(c,B,b) != product(product(c,B),product(b,c))
    | product(product(c,B),product(b,c)) = bigC(c,B,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,B,b))),bind(Y,$fot(product(product(c,B),product(b,c))))]]) ).

cnf(refute_0_8026,plain,
    product(product(c,B),product(b,c)) = bigC(c,B,b),
    inference(resolve,[$cnf( $equal(bigC(c,B,b),product(product(c,B),product(b,c))) )],[refute_0_8024,refute_0_8025]) ).

cnf(refute_0_8027,plain,
    ( bigC(product(a,c),product(c,B),product(a,b)) != product(bigC(a,a,c),product(product(c,B),product(b,c)))
    | product(product(c,B),product(b,c)) != bigC(c,B,b)
    | bigC(product(a,c),product(c,B),product(a,b)) = product(bigC(a,a,c),bigC(c,B,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,B),product(a,b)),product(bigC(a,a,c),product(product(c,B),product(b,c)))) ),[1,1],$fot(bigC(c,B,b))]]) ).

cnf(refute_0_8028,plain,
    ( bigC(product(a,c),product(c,B),product(a,b)) != product(bigC(a,a,c),product(product(c,B),product(b,c)))
    | bigC(product(a,c),product(c,B),product(a,b)) = product(bigC(a,a,c),bigC(c,B,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(b,c)),bigC(c,B,b)) )],[refute_0_8026,refute_0_8027]) ).

cnf(refute_0_8029,plain,
    bigC(product(a,c),product(c,B),product(a,b)) = product(bigC(a,a,c),bigC(c,B,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,B),product(a,b)),product(bigC(a,a,c),product(product(c,B),product(b,c)))) )],[refute_0_8023,refute_0_8028]) ).

cnf(refute_0_8030,plain,
    bigC(product(a,c),product(c,B),product(a,b)) = bigC(product(a,c),product(a,b),product(c,B)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,b))),bind(C,$fot(product(c,B)))]]) ).

cnf(refute_0_8031,plain,
    ( bigC(product(a,c),product(c,B),product(a,b)) != bigC(product(a,c),product(a,b),product(c,B))
    | bigC(product(a,c),product(c,B),product(a,b)) != product(bigC(a,a,c),bigC(c,B,b))
    | bigC(product(a,c),product(a,b),product(c,B)) = product(bigC(a,a,c),bigC(c,B,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,B),product(a,b)),product(bigC(a,a,c),bigC(c,B,b))) ),[0],$fot(bigC(product(a,c),product(a,b),product(c,B)))]]) ).

cnf(refute_0_8032,plain,
    ( bigC(product(a,c),product(c,B),product(a,b)) != product(bigC(a,a,c),bigC(c,B,b))
    | bigC(product(a,c),product(a,b),product(c,B)) = product(bigC(a,a,c),bigC(c,B,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,B),product(a,b)),bigC(product(a,c),product(a,b),product(c,B))) )],[refute_0_8030,refute_0_8031]) ).

cnf(refute_0_8033,plain,
    bigC(product(a,c),product(a,b),product(c,B)) = product(bigC(a,a,c),bigC(c,B,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,B),product(a,b)),product(bigC(a,a,c),bigC(c,B,b))) )],[refute_0_8029,refute_0_8032]) ).

cnf(refute_0_8034,plain,
    bigC(product(a,c),product(a,b),product(c,b)) = product(bigC(a,a,c),bigC(c,b,b)),
    inference(subst,[],[refute_0_8033:[bind(B,$fot(b))]]) ).

cnf(refute_0_8035,plain,
    ( bigC(product(a,c),product(a,b),product(c,b)) != product(a,product(b,product(b,c)))
    | bigC(product(a,c),product(a,b),product(c,b)) != product(bigC(a,a,c),bigC(c,b,b))
    | product(bigC(a,a,c),bigC(c,b,b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,b),product(c,b)),product(a,product(b,product(b,c)))) ),[0],$fot(product(bigC(a,a,c),bigC(c,b,b)))]]) ).

cnf(refute_0_8036,plain,
    ( bigC(product(a,c),product(a,b),product(c,b)) != product(a,product(b,product(b,c)))
    | product(bigC(a,a,c),bigC(c,b,b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(c,b)),product(bigC(a,a,c),bigC(c,b,b))) )],[refute_0_8034,refute_0_8035]) ).

cnf(refute_0_8037,plain,
    product(bigC(a,a,c),bigC(c,b,b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(c,b)),product(a,product(b,product(b,c)))) )],[refute_0_8022,refute_0_8036]) ).

cnf(refute_0_8038,plain,
    product(bigC(a,a,c),bigC(c,b,b)) = product(bigC(a,a,c),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),bigC(c,b,b)))]]) ).

cnf(refute_0_8039,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(a,a,c),bigC(c,b,b)) != product(bigC(a,a,c),bigC(c,b,b))
    | product(bigC(a,a,c),bigC(c,b,b)) = product(bigC(a,a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,b)),product(bigC(a,a,c),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_8040,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(a,a,c),bigC(c,b,b)) = product(bigC(a,a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,b)),product(bigC(a,a,c),bigC(c,b,b))) )],[refute_0_8038,refute_0_8039]) ).

cnf(refute_0_8041,plain,
    product(bigC(a,a,c),bigC(c,b,b)) = product(bigC(a,a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_8040]) ).

cnf(refute_0_8042,plain,
    ( product(bigC(a,a,c),bigC(b,b,c)) != product(product(a,product(c,b)),c)
    | product(bigC(a,a,c),bigC(c,b,b)) != product(bigC(a,a,c),bigC(b,b,c))
    | product(bigC(a,a,c),bigC(c,b,b)) = product(product(a,product(c,b)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),bigC(c,b,b)))),bind(Y,$fot(product(bigC(a,a,c),bigC(b,b,c)))),bind(Z,$fot(product(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_8043,plain,
    ( product(bigC(a,a,c),bigC(b,b,c)) != product(product(a,product(c,b)),c)
    | product(bigC(a,a,c),bigC(c,b,b)) = product(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,b)),product(bigC(a,a,c),bigC(b,b,c))) )],[refute_0_8041,refute_0_8042]) ).

cnf(refute_0_8044,plain,
    product(bigC(a,a,c),bigC(c,b,b)) = product(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,b,c)),product(product(a,product(c,b)),c)) )],[refute_0_7964,refute_0_8043]) ).

cnf(refute_0_8045,plain,
    ( product(bigC(a,a,c),bigC(c,b,b)) != product(a,product(b,product(b,c)))
    | product(bigC(a,a,c),bigC(c,b,b)) != product(product(a,product(c,b)),c)
    | product(product(a,product(c,b)),c) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,b)),product(a,product(b,product(b,c)))) ),[0],$fot(product(product(a,product(c,b)),c))]]) ).

cnf(refute_0_8046,plain,
    ( product(bigC(a,a,c),bigC(c,b,b)) != product(a,product(b,product(b,c)))
    | product(product(a,product(c,b)),c) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,b)),product(product(a,product(c,b)),c)) )],[refute_0_8044,refute_0_8045]) ).

cnf(refute_0_8047,plain,
    product(product(a,product(c,b)),c) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,b)),product(a,product(b,product(b,c)))) )],[refute_0_8037,refute_0_8046]) ).

cnf(refute_0_8048,plain,
    quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = quotient(product(product(a,product(c,b)),c),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(c,b)),c),bigC(b,b,c)))]]) ).

cnf(refute_0_8049,plain,
    ( product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) != quotient(product(product(a,product(c,b)),c),bigC(b,b,c))
    | quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(c,b)),c),bigC(b,b,c)),quotient(product(product(a,product(c,b)),c),bigC(b,b,c))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_8050,plain,
    ( product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),c),bigC(b,b,c)),quotient(product(product(a,product(c,b)),c),bigC(b,b,c))) )],[refute_0_8048,refute_0_8049]) ).

cnf(refute_0_8051,plain,
    quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) = quotient(product(a,product(b,product(b,c))),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),c),product(a,product(b,product(b,c)))) )],[refute_0_8047,refute_0_8050]) ).

cnf(refute_0_8052,plain,
    ( quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) != quotient(product(a,product(b,product(b,c))),bigC(b,b,c))
    | quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(c,b)),c),bigC(b,b,c)),bigC(a,a,c)) ),[0],$fot(quotient(product(a,product(b,product(b,c))),bigC(b,b,c)))]]) ).

cnf(refute_0_8053,plain,
    ( quotient(product(product(a,product(c,b)),c),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),c),bigC(b,b,c)),quotient(product(a,product(b,product(b,c))),bigC(b,b,c))) )],[refute_0_8051,refute_0_8052]) ).

cnf(refute_0_8054,plain,
    quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),c),bigC(b,b,c)),bigC(a,a,c)) )],[refute_0_7967,refute_0_8053]) ).

cnf(refute_0_8055,plain,
    bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(product(product(a,b),bigC(b,a,c)),product(a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,b))),bind(X_22,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_8056,plain,
    ( bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(product(product(a,b),bigC(b,a,c)),product(a,b))
    | product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(product(c,product(c,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),product(a,b)),product(product(product(a,b),bigC(b,a,c)),product(a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8057,plain,
    ( bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(product(product(a,b),bigC(b,a,c)),product(a,b))
    | bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(product(c,product(c,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_8056]) ).

cnf(refute_0_8058,plain,
    bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(product(c,product(c,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),product(a,b)),product(product(product(a,b),bigC(b,a,c)),product(a,b))) )],[refute_0_8055,refute_0_8057]) ).

cnf(refute_0_8059,plain,
    product(bigC(a,b,a),product(bigC(b,a,c),b)) = product(bigC(a,b,a),product(bigC(b,a,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(bigC(b,a,c),b)))]]) ).

cnf(refute_0_8060,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(bigC(b,a,c),b)) != product(bigC(a,b,a),product(bigC(b,a,c),b))
    | product(bigC(a,b,a),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(bigC(b,a,c),b)),product(bigC(a,b,a),product(bigC(b,a,c),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8061,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(bigC(b,a,c),b)),product(bigC(a,b,a),product(bigC(b,a,c),b))) )],[refute_0_8059,refute_0_8060]) ).

cnf(refute_0_8062,plain,
    product(bigC(a,b,a),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_8061]) ).

cnf(refute_0_8063,plain,
    bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(bigC(a,b,a),product(bigC(b,a,c),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(bigC(b,a,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_8064,plain,
    ( bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(bigC(a,b,a),product(bigC(b,a,c),b))
    | product(bigC(a,b,a),product(bigC(b,a,c),b)) != product(bigC(a,a,b),product(bigC(b,a,c),b))
    | bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),bigC(b,a,c),product(a,b)))),bind(Y,$fot(product(bigC(a,b,a),product(bigC(b,a,c),b)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(b,a,c),b))))]]) ).

cnf(refute_0_8065,plain,
    ( product(bigC(a,b,a),product(bigC(b,a,c),b)) != product(bigC(a,a,b),product(bigC(b,a,c),b))
    | bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),product(a,b)),product(bigC(a,b,a),product(bigC(b,a,c),b))) )],[refute_0_8063,refute_0_8064]) ).

cnf(refute_0_8066,plain,
    bigC(product(a,b),bigC(b,a,c),product(a,b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(bigC(b,a,c),b)),product(bigC(a,a,b),product(bigC(b,a,c),b))) )],[refute_0_8062,refute_0_8065]) ).

cnf(refute_0_8067,plain,
    ( bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(bigC(a,a,b),product(bigC(b,a,c),b))
    | bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(product(c,product(c,b)),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(product(c,product(c,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),product(a,b)),product(product(c,product(c,b)),product(a,b))) ),[0],$fot(product(bigC(a,a,b),product(bigC(b,a,c),b)))]]) ).

cnf(refute_0_8068,plain,
    ( bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(product(c,product(c,b)),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(product(c,product(c,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),product(a,b)),product(bigC(a,a,b),product(bigC(b,a,c),b))) )],[refute_0_8066,refute_0_8067]) ).

cnf(refute_0_8069,plain,
    product(product(c,product(c,b)),product(a,b)) = product(product(c,a),product(product(c,b),b)),
    inference(subst,[],[refute_0_1455:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_8070,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),b)) != product(product(c,product(c,b)),product(a,b))
    | product(product(c,product(c,b)),product(a,b)) != product(product(c,a),product(product(c,b),b))
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(product(c,a),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(product(c,a),product(product(c,b),b))) ),[0],$fot(product(product(c,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_8071,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),b)) != product(product(c,product(c,b)),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(product(c,a),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,b)),product(product(c,a),product(product(c,b),b))) )],[refute_0_8069,refute_0_8070]) ).

cnf(refute_0_8072,plain,
    ( bigC(product(a,b),bigC(b,a,c),product(a,b)) != product(product(c,product(c,b)),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(product(c,a),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(product(c,product(c,b)),product(a,b))) )],[refute_0_8068,refute_0_8071]) ).

cnf(refute_0_8073,plain,
    product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(product(c,a),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,a,c),product(a,b)),product(product(c,product(c,b)),product(a,b))) )],[refute_0_8058,refute_0_8072]) ).

cnf(refute_0_8074,plain,
    product(bigC(b,a,c),b) = product(bigC(b,a,c),b),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),b))]]) ).

cnf(refute_0_8075,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),b) != product(bigC(b,a,c),b)
    | product(bigC(b,a,c),b) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),b),product(bigC(b,a,c),b)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8076,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),b) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),b),product(bigC(b,a,c),b)) )],[refute_0_8074,refute_0_8075]) ).

cnf(refute_0_8077,plain,
    product(bigC(b,a,c),b) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_8076]) ).

cnf(refute_0_8078,plain,
    product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(bigC(b,a,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(bigC(b,a,c),b)))]]) ).

cnf(refute_0_8079,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),b)) != product(bigC(a,a,b),product(bigC(b,a,c),b))
    | product(bigC(b,a,c),b) != product(c,b)
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(bigC(a,a,b),product(bigC(b,a,c),b))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_8080,plain,
    ( product(bigC(b,a,c),b) != product(c,b)
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(bigC(a,a,b),product(bigC(b,a,c),b))) )],[refute_0_8078,refute_0_8079]) ).

cnf(refute_0_8081,plain,
    product(bigC(a,a,b),product(bigC(b,a,c),b)) = product(bigC(a,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),b),product(c,b)) )],[refute_0_8077,refute_0_8080]) ).

cnf(refute_0_8082,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),b)) != product(bigC(a,a,b),product(c,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),b)) != product(product(c,a),product(product(c,b),b))
    | product(bigC(a,a,b),product(c,b)) = product(product(c,a),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(product(c,a),product(product(c,b),b))) ),[0],$fot(product(bigC(a,a,b),product(c,b)))]]) ).

cnf(refute_0_8083,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),b)) != product(product(c,a),product(product(c,b),b))
    | product(bigC(a,a,b),product(c,b)) = product(product(c,a),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(bigC(a,a,b),product(c,b))) )],[refute_0_8081,refute_0_8082]) ).

cnf(refute_0_8084,plain,
    product(bigC(a,a,b),product(c,b)) = product(product(c,a),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),b)),product(product(c,a),product(product(c,b),b))) )],[refute_0_8073,refute_0_8083]) ).

cnf(refute_0_8085,plain,
    product(quotient(product(c,product(product(a,c),b)),product(a,b)),product(a,b)) = product(c,product(product(a,c),b)),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,product(product(a,c),b)))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_8086,plain,
    quotient(product(product(product(c,a),a),b),difference(product(product(c,a),b),product(product(product(c,a),a),b))) = product(product(c,a),b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(product(product(c,a),a),b))),bind(X_6,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_8087,plain,
    difference(product(product(c,b),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))) = product(product(a,c),product(c,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_8088,plain,
    ( product(product(product(c,a),a),b) != bigC(product(c,b),product(a,b),product(a,c))
    | bigC(product(c,b),product(a,b),product(a,c)) = product(product(product(c,a),a),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(product(c,a),a),b))),bind(Y,$fot(bigC(product(c,b),product(a,b),product(a,c))))]]) ).

cnf(refute_0_8089,plain,
    bigC(product(c,b),product(a,b),product(a,c)) = product(product(product(c,a),a),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),bigC(product(c,b),product(a,b),product(a,c))) )],[refute_0_7782,refute_0_8088]) ).

cnf(refute_0_8090,plain,
    ( bigC(product(c,b),product(a,b),product(a,c)) != product(product(product(c,a),a),b)
    | difference(product(product(c,b),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))) != product(product(a,c),product(c,b))
    | difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))),product(product(a,c),product(c,b))) ),[0,1],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_8091,plain,
    ( difference(product(product(c,b),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))) != product(product(a,c),product(c,b))
    | difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(a,c)),product(product(product(c,a),a),b)) )],[refute_0_8089,refute_0_8090]) ).

cnf(refute_0_8092,plain,
    difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = product(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))),product(product(a,c),product(c,b))) )],[refute_0_8087,refute_0_8091]) ).

cnf(refute_0_8093,plain,
    difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_8094,plain,
    ( difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) != difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = difference(product(product(c,a),b),product(product(product(c,a),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)),difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_8095,plain,
    ( product(product(c,b),product(a,b)) != product(product(c,a),b)
    | difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = difference(product(product(c,a),b),product(product(product(c,a),a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)),difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b))) )],[refute_0_8093,refute_0_8094]) ).

cnf(refute_0_8096,plain,
    difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) = difference(product(product(c,a),b),product(product(product(c,a),a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_909,refute_0_8095]) ).

cnf(refute_0_8097,plain,
    ( difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) != difference(product(product(c,a),b),product(product(product(c,a),a),b))
    | difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) != product(product(a,c),product(c,b))
    | difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)),product(product(a,c),product(c,b))) ),[0],$fot(difference(product(product(c,a),b),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_8098,plain,
    ( difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) != product(product(a,c),product(c,b))
    | difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)),difference(product(product(c,a),b),product(product(product(c,a),a),b))) )],[refute_0_8096,refute_0_8097]) ).

cnf(refute_0_8099,plain,
    ( difference(product(product(c,a),b),product(product(product(c,a),a),b)) != product(product(a,c),product(c,b))
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,a),b),product(product(product(c,a),a),b)),product(a,b)) ),[0],$fot(product(product(a,c),product(c,b)))]]) ).

cnf(refute_0_8100,plain,
    ( difference(product(product(c,a),b),product(product(product(c,a),a),b)) != product(product(a,c),product(c,b))
    | difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_8099]) ).

cnf(refute_0_8101,plain,
    ( difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)) != product(product(a,c),product(c,b))
    | difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),product(product(product(c,a),a),b)),product(product(a,c),product(c,b))) )],[refute_0_8098,refute_0_8100]) ).

cnf(refute_0_8102,plain,
    difference(product(product(c,a),b),product(product(product(c,a),a),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(a,b)),product(product(product(c,a),a),b)),product(product(a,c),product(c,b))) )],[refute_0_8092,refute_0_8101]) ).

cnf(refute_0_8103,plain,
    ( difference(product(product(c,a),b),product(product(product(c,a),a),b)) != product(a,b)
    | quotient(product(product(product(c,a),a),b),difference(product(product(c,a),b),product(product(product(c,a),a),b))) != product(product(c,a),b)
    | quotient(product(product(product(c,a),a),b),product(a,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),difference(product(product(c,a),b),product(product(product(c,a),a),b))),product(product(c,a),b)) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_8104,plain,
    ( quotient(product(product(product(c,a),a),b),difference(product(product(c,a),b),product(product(product(c,a),a),b))) != product(product(c,a),b)
    | quotient(product(product(product(c,a),a),b),product(a,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),b),product(product(product(c,a),a),b)),product(a,b)) )],[refute_0_8102,refute_0_8103]) ).

cnf(refute_0_8105,plain,
    quotient(product(product(product(c,a),a),b),product(a,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),difference(product(product(c,a),b),product(product(product(c,a),a),b))),product(product(c,a),b)) )],[refute_0_8086,refute_0_8104]) ).

cnf(refute_0_8106,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(product(c,a),a),b),product(a,b)) != product(product(c,a),b)
    | quotient(product(product(product(c,a),a),b),product(a,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),product(product(c,a),b)) ),[1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8107,plain,
    ( quotient(product(product(product(c,a),a),b),product(a,b)) != product(product(c,a),b)
    | quotient(product(product(product(c,a),a),b),product(a,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_8106]) ).

cnf(refute_0_8108,plain,
    quotient(product(product(product(c,a),a),b),product(a,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),product(product(c,a),b)) )],[refute_0_8105,refute_0_8107]) ).

cnf(refute_0_8109,plain,
    quotient(product(product(product(c,a),a),b),product(a,b)) = quotient(product(product(product(c,a),a),b),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(product(c,a),a),b),product(a,b)))]]) ).

cnf(refute_0_8110,plain,
    ( product(product(product(c,a),a),b) != product(c,product(product(a,c),b))
    | quotient(product(product(product(c,a),a),b),product(a,b)) != quotient(product(product(product(c,a),a),b),product(a,b))
    | quotient(product(product(product(c,a),a),b),product(a,b)) = quotient(product(c,product(product(a,c),b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),quotient(product(product(product(c,a),a),b),product(a,b))) ),[1,0],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_8111,plain,
    ( product(product(product(c,a),a),b) != product(c,product(product(a,c),b))
    | quotient(product(product(product(c,a),a),b),product(a,b)) = quotient(product(c,product(product(a,c),b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),quotient(product(product(product(c,a),a),b),product(a,b))) )],[refute_0_8109,refute_0_8110]) ).

cnf(refute_0_8112,plain,
    quotient(product(product(product(c,a),a),b),product(a,b)) = quotient(product(c,product(product(a,c),b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(c,product(product(a,c),b))) )],[refute_0_7841,refute_0_8111]) ).

cnf(refute_0_8113,plain,
    ( quotient(product(product(product(c,a),a),b),product(a,b)) != product(c,product(c,b))
    | quotient(product(product(product(c,a),a),b),product(a,b)) != quotient(product(c,product(product(a,c),b)),product(a,b))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),product(c,product(c,b))) ),[0],$fot(quotient(product(c,product(product(a,c),b)),product(a,b)))]]) ).

cnf(refute_0_8114,plain,
    ( quotient(product(product(product(c,a),a),b),product(a,b)) != product(c,product(c,b))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),quotient(product(c,product(product(a,c),b)),product(a,b))) )],[refute_0_8112,refute_0_8113]) ).

cnf(refute_0_8115,plain,
    quotient(product(c,product(product(a,c),b)),product(a,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),product(c,product(c,b))) )],[refute_0_8108,refute_0_8114]) ).

cnf(refute_0_8116,plain,
    ( product(quotient(product(c,product(product(a,c),b)),product(a,b)),product(a,b)) != product(c,product(product(a,c),b))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) != product(c,product(c,b))
    | product(product(c,product(c,b)),product(a,b)) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,product(product(a,c),b)),product(a,b)),product(a,b)),product(c,product(product(a,c),b))) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8117,plain,
    ( product(quotient(product(c,product(product(a,c),b)),product(a,b)),product(a,b)) != product(c,product(product(a,c),b))
    | product(product(c,product(c,b)),product(a,b)) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),product(c,product(c,b))) )],[refute_0_8115,refute_0_8116]) ).

cnf(refute_0_8118,plain,
    product(product(c,product(c,b)),product(a,b)) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,product(product(a,c),b)),product(a,b)),product(a,b)),product(c,product(product(a,c),b))) )],[refute_0_8085,refute_0_8117]) ).

cnf(refute_0_8119,plain,
    ( product(bigC(a,a,b),product(c,b)) != product(product(c,a),product(product(c,b),b))
    | product(product(c,a),product(product(c,b),b)) = product(bigC(a,a,b),product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,b),product(c,b)))),bind(Y,$fot(product(product(c,a),product(product(c,b),b))))]]) ).

cnf(refute_0_8120,plain,
    product(product(c,a),product(product(c,b),b)) = product(bigC(a,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,b)),product(product(c,a),product(product(c,b),b))) )],[refute_0_8084,refute_0_8119]) ).

cnf(refute_0_8121,plain,
    ( product(product(c,a),product(product(c,b),b)) != product(bigC(a,a,b),product(c,b))
    | product(product(c,product(c,b)),product(a,b)) != product(product(c,a),product(product(c,b),b))
    | product(product(c,product(c,b)),product(a,b)) = product(bigC(a,a,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(a,b)))),bind(Y,$fot(product(product(c,a),product(product(c,b),b)))),bind(Z,$fot(product(bigC(a,a,b),product(c,b))))]]) ).

cnf(refute_0_8122,plain,
    ( product(product(c,a),product(product(c,b),b)) != product(bigC(a,a,b),product(c,b))
    | product(product(c,product(c,b)),product(a,b)) = product(bigC(a,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,b)),product(product(c,a),product(product(c,b),b))) )],[refute_0_8069,refute_0_8121]) ).

cnf(refute_0_8123,plain,
    product(product(c,product(c,b)),product(a,b)) = product(bigC(a,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),b)),product(bigC(a,a,b),product(c,b))) )],[refute_0_8120,refute_0_8122]) ).

cnf(refute_0_8124,plain,
    ( product(product(c,product(c,b)),product(a,b)) != product(bigC(a,a,b),product(c,b))
    | product(product(c,product(c,b)),product(a,b)) != product(c,product(product(a,c),b))
    | product(bigC(a,a,b),product(c,b)) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(a,b)),product(c,product(product(a,c),b))) ),[0],$fot(product(bigC(a,a,b),product(c,b)))]]) ).

cnf(refute_0_8125,plain,
    ( product(product(c,product(c,b)),product(a,b)) != product(c,product(product(a,c),b))
    | product(bigC(a,a,b),product(c,b)) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,b)),product(bigC(a,a,b),product(c,b))) )],[refute_0_8123,refute_0_8124]) ).

cnf(refute_0_8126,plain,
    product(bigC(a,a,b),product(c,b)) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,b)),product(c,product(product(a,c),b))) )],[refute_0_8118,refute_0_8125]) ).

cnf(refute_0_8127,plain,
    ( product(bigC(a,a,b),product(c,b)) != product(c,product(product(a,c),b))
    | product(bigC(a,a,b),product(c,b)) != product(product(c,a),product(product(c,b),b))
    | product(c,product(product(a,c),b)) = product(product(c,a),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(c,b)),product(product(c,a),product(product(c,b),b))) ),[0],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_8128,plain,
    ( product(bigC(a,a,b),product(c,b)) != product(product(c,a),product(product(c,b),b))
    | product(c,product(product(a,c),b)) = product(product(c,a),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,b)),product(c,product(product(a,c),b))) )],[refute_0_8126,refute_0_8127]) ).

cnf(refute_0_8129,plain,
    product(c,product(product(a,c),b)) = product(product(c,a),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,b)),product(product(c,a),product(product(c,b),b))) )],[refute_0_8084,refute_0_8128]) ).

cnf(refute_0_8130,plain,
    bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(difference(difference(c,product(a,c)),product(a,b)),X_22),product(a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(a,b))),bind(X_23,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_8131,plain,
    difference(quotient(product(a,b),c),product(a,b)) = c,
    inference(subst,[],[refute_0_2584:[bind(B,$fot(c)),bind(X_9,$fot(product(a,b)))]]) ).

cnf(refute_0_8132,plain,
    difference(c,product(c,quotient(product(a,b),c))) = quotient(product(a,b),c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_8133,plain,
    difference(c,difference(product(product(a,b),c),c)) = product(c,quotient(product(a,b),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(product(a,b)))]]) ).

cnf(refute_0_8134,plain,
    ( difference(c,difference(product(product(a,b),c),c)) != product(c,quotient(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(c,difference(product(c,product(c,b)),c)) = product(c,quotient(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(product(a,b),c),c)),product(c,quotient(product(a,b),c))) ),[0,1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8135,plain,
    ( difference(c,difference(product(product(a,b),c),c)) != product(c,quotient(product(a,b),c))
    | difference(c,difference(product(c,product(c,b)),c)) = product(c,quotient(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_8134]) ).

cnf(refute_0_8136,plain,
    difference(c,difference(product(c,product(c,b)),c)) = product(c,quotient(product(a,b),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(a,b),c),c)),product(c,quotient(product(a,b),c))) )],[refute_0_8133,refute_0_8135]) ).

cnf(refute_0_8137,plain,
    difference(quotient(c,bigC(a,a,b)),c) = bigC(a,a,b),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(bigC(a,a,b))),bind(X_9,$fot(c))]]) ).

cnf(refute_0_8138,plain,
    ( difference(quotient(c,bigC(a,a,b)),c) != bigC(a,a,b)
    | quotient(c,bigC(a,a,b)) != product(c,product(c,b))
    | difference(product(c,product(c,b)),c) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,bigC(a,a,b)),c),bigC(a,a,b)) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8139,plain,
    ( difference(quotient(c,bigC(a,a,b)),c) != bigC(a,a,b)
    | difference(product(c,product(c,b)),c) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,b)),product(c,product(c,b))) )],[refute_0_6784,refute_0_8138]) ).

cnf(refute_0_8140,plain,
    difference(product(c,product(c,b)),c) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(difference(quotient(c,bigC(a,a,b)),c),bigC(a,a,b)) )],[refute_0_8137,refute_0_8139]) ).

cnf(refute_0_8141,plain,
    difference(c,difference(product(c,product(c,b)),c)) = difference(c,difference(product(c,product(c,b)),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_8142,plain,
    ( difference(c,difference(product(c,product(c,b)),c)) != difference(c,difference(product(c,product(c,b)),c))
    | difference(product(c,product(c,b)),c) != bigC(a,a,b)
    | difference(c,difference(product(c,product(c,b)),c)) = difference(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(c,product(c,b)),c)),difference(c,difference(product(c,product(c,b)),c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8143,plain,
    ( difference(product(c,product(c,b)),c) != bigC(a,a,b)
    | difference(c,difference(product(c,product(c,b)),c)) = difference(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,product(c,b)),c)),difference(c,difference(product(c,product(c,b)),c))) )],[refute_0_8141,refute_0_8142]) ).

cnf(refute_0_8144,plain,
    difference(c,difference(product(c,product(c,b)),c)) = difference(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),c),bigC(a,a,b)) )],[refute_0_8140,refute_0_8143]) ).

cnf(refute_0_8145,plain,
    ( difference(c,bigC(a,a,b)) != product(a,c)
    | difference(c,difference(product(c,product(c,b)),c)) != difference(c,bigC(a,a,b))
    | difference(c,difference(product(c,product(c,b)),c)) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,difference(product(c,product(c,b)),c)))),bind(Y,$fot(difference(c,bigC(a,a,b)))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_8146,plain,
    ( difference(c,bigC(a,a,b)) != product(a,c)
    | difference(c,difference(product(c,product(c,b)),c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,product(c,b)),c)),difference(c,bigC(a,a,b))) )],[refute_0_8144,refute_0_8145]) ).

cnf(refute_0_8147,plain,
    difference(c,difference(product(c,product(c,b)),c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,b)),product(a,c)) )],[refute_0_1028,refute_0_8146]) ).

cnf(refute_0_8148,plain,
    ( difference(c,difference(product(c,product(c,b)),c)) != product(a,c)
    | difference(c,difference(product(c,product(c,b)),c)) != product(c,quotient(product(a,b),c))
    | product(a,c) = product(c,quotient(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(c,product(c,b)),c)),product(c,quotient(product(a,b),c))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_8149,plain,
    ( difference(c,difference(product(c,product(c,b)),c)) != product(c,quotient(product(a,b),c))
    | product(a,c) = product(c,quotient(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,product(c,b)),c)),product(a,c)) )],[refute_0_8147,refute_0_8148]) ).

cnf(refute_0_8150,plain,
    product(a,c) = product(c,quotient(product(a,b),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,product(c,b)),c)),product(c,quotient(product(a,b),c))) )],[refute_0_8136,refute_0_8149]) ).

cnf(refute_0_8151,plain,
    ( product(a,c) != product(c,quotient(product(a,b),c))
    | product(c,quotient(product(a,b),c)) = product(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(c,quotient(product(a,b),c))))]]) ).

cnf(refute_0_8152,plain,
    product(c,quotient(product(a,b),c)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(c,quotient(product(a,b),c))) )],[refute_0_8150,refute_0_8151]) ).

cnf(refute_0_8153,plain,
    ( difference(c,product(c,quotient(product(a,b),c))) != quotient(product(a,b),c)
    | product(c,quotient(product(a,b),c)) != product(a,c)
    | difference(c,product(a,c)) = quotient(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(product(a,b),c))),quotient(product(a,b),c)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_8154,plain,
    ( difference(c,product(c,quotient(product(a,b),c))) != quotient(product(a,b),c)
    | difference(c,product(a,c)) = quotient(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,b),c)),product(a,c)) )],[refute_0_8152,refute_0_8153]) ).

cnf(refute_0_8155,plain,
    difference(c,product(a,c)) = quotient(product(a,b),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(product(a,b),c))),quotient(product(a,b),c)) )],[refute_0_8132,refute_0_8154]) ).

cnf(refute_0_8156,plain,
    ( difference(c,product(a,c)) != quotient(product(a,b),c)
    | quotient(product(a,b),c) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,c)))),bind(Y,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_8157,plain,
    quotient(product(a,b),c) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),quotient(product(a,b),c)) )],[refute_0_8155,refute_0_8156]) ).

cnf(refute_0_8158,plain,
    ( difference(quotient(product(a,b),c),product(a,b)) != c
    | quotient(product(a,b),c) != difference(c,product(a,c))
    | difference(difference(c,product(a,c)),product(a,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),c),product(a,b)),c) ),[0,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_8159,plain,
    ( difference(quotient(product(a,b),c),product(a,b)) != c
    | difference(difference(c,product(a,c)),product(a,b)) = c ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(c,product(a,c))) )],[refute_0_8157,refute_0_8158]) ).

cnf(refute_0_8160,plain,
    difference(difference(c,product(a,c)),product(a,b)) = c,
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),c),product(a,b)),c) )],[refute_0_8131,refute_0_8159]) ).

cnf(refute_0_8161,plain,
    ( bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(difference(difference(c,product(a,c)),product(a,b)),X_22),product(a,b))
    | difference(difference(c,product(a,c)),product(a,b)) != c
    | bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(c,X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))),product(product(difference(difference(c,product(a,c)),product(a,b)),X_22),product(a,b))) ),[1,0,0],$fot(c)]]) ).

cnf(refute_0_8162,plain,
    ( bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(difference(difference(c,product(a,c)),product(a,b)),X_22),product(a,b))
    | bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(c,X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(a,b)),c) )],[refute_0_8160,refute_0_8161]) ).

cnf(refute_0_8163,plain,
    bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(c,X_22),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))),product(product(difference(difference(c,product(a,c)),product(a,b)),X_22),product(a,b))) )],[refute_0_8130,refute_0_8162]) ).

cnf(refute_0_8164,plain,
    product(difference(difference(c,product(a,c)),product(a,b)),a) = product(difference(difference(c,product(a,c)),product(a,b)),a),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(a,c)),product(a,b)),a))]]) ).

cnf(refute_0_8165,plain,
    ( difference(difference(c,product(a,c)),product(a,b)) != c
    | product(difference(difference(c,product(a,c)),product(a,b)),a) != product(difference(difference(c,product(a,c)),product(a,b)),a)
    | product(difference(difference(c,product(a,c)),product(a,b)),a) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(a,c)),product(a,b)),a),product(difference(difference(c,product(a,c)),product(a,b)),a)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8166,plain,
    ( difference(difference(c,product(a,c)),product(a,b)) != c
    | product(difference(difference(c,product(a,c)),product(a,b)),a) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(a,c)),product(a,b)),a),product(difference(difference(c,product(a,c)),product(a,b)),a)) )],[refute_0_8164,refute_0_8165]) ).

cnf(refute_0_8167,plain,
    product(difference(difference(c,product(a,c)),product(a,b)),a) = product(c,a),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(a,b)),c) )],[refute_0_8160,refute_0_8166]) ).

cnf(refute_0_8168,plain,
    product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) = product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)),
    introduced(tautology,[refl,[$fot(product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)))]]) ).

cnf(refute_0_8169,plain,
    ( product(difference(difference(c,product(a,c)),product(a,b)),a) != product(c,a)
    | product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) != product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b))
    | product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) = product(product(c,a),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)),product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_8170,plain,
    ( product(difference(difference(c,product(a,c)),product(a,b)),a) != product(c,a)
    | product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) = product(product(c,a),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)),product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b))) )],[refute_0_8168,refute_0_8169]) ).

cnf(refute_0_8171,plain,
    product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) = product(product(c,a),product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(a,c)),product(a,b)),a),product(c,a)) )],[refute_0_8167,refute_0_8170]) ).

cnf(refute_0_8172,plain,
    bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)),
    inference(subst,[],[refute_0_6268:[bind(X_23,$fot(difference(c,product(a,c)))),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_8173,plain,
    ( bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b))
    | product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) != product(product(c,a),product(X_22,b))
    | bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(c,a),product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))))),bind(Y,$fot(product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)))),bind(Z,$fot(product(product(c,a),product(X_22,b))))]]) ).

cnf(refute_0_8174,plain,
    ( product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)) != product(product(c,a),product(X_22,b))
    | bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(c,a),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))),product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b))) )],[refute_0_8172,refute_0_8173]) ).

cnf(refute_0_8175,plain,
    bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) = product(product(c,a),product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(c,product(a,c)),product(a,b)),a),product(X_22,b)),product(product(c,a),product(X_22,b))) )],[refute_0_8171,refute_0_8174]) ).

cnf(refute_0_8176,plain,
    ( bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(c,X_22),product(a,b))
    | bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(c,a),product(X_22,b))
    | product(product(c,a),product(X_22,b)) = product(product(c,X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))),product(product(c,X_22),product(a,b))) ),[0],$fot(product(product(c,a),product(X_22,b)))]]) ).

cnf(refute_0_8177,plain,
    ( bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(c,X_22),product(a,b))
    | product(product(c,a),product(X_22,b)) = product(product(c,X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))),product(product(c,a),product(X_22,b))) )],[refute_0_8175,refute_0_8176]) ).

cnf(refute_0_8178,plain,
    bigC(c,quotient(product(a,b),c),C) = product(product(c,quotient(product(a,b),c)),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_8179,plain,
    ( bigC(c,quotient(product(a,b),c),C) != product(product(c,quotient(product(a,b),c)),product(C,c))
    | product(c,quotient(product(a,b),c)) != product(a,c)
    | bigC(c,quotient(product(a,b),c),C) = product(product(a,c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(product(a,b),c),C),product(product(c,quotient(product(a,b),c)),product(C,c))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_8180,plain,
    ( bigC(c,quotient(product(a,b),c),C) != product(product(c,quotient(product(a,b),c)),product(C,c))
    | bigC(c,quotient(product(a,b),c),C) = product(product(a,c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,b),c)),product(a,c)) )],[refute_0_8152,refute_0_8179]) ).

cnf(refute_0_8181,plain,
    bigC(c,quotient(product(a,b),c),C) = product(product(a,c),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),C),product(product(c,quotient(product(a,b),c)),product(C,c))) )],[refute_0_8178,refute_0_8180]) ).

cnf(refute_0_8182,plain,
    bigC(c,quotient(product(a,b),c),C) = product(product(c,C),product(a,b)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(a,b))),bind(X_21,$fot(c)),bind(X_22,$fot(C))]]) ).

cnf(refute_0_8183,plain,
    ( bigC(c,quotient(product(a,b),c),C) != product(product(a,c),product(C,c))
    | bigC(c,quotient(product(a,b),c),C) != product(product(c,C),product(a,b))
    | product(product(c,C),product(a,b)) = product(product(a,c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(product(a,b),c),C),product(product(a,c),product(C,c))) ),[0],$fot(product(product(c,C),product(a,b)))]]) ).

cnf(refute_0_8184,plain,
    ( bigC(c,quotient(product(a,b),c),C) != product(product(a,c),product(C,c))
    | product(product(c,C),product(a,b)) = product(product(a,c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),C),product(product(c,C),product(a,b))) )],[refute_0_8182,refute_0_8183]) ).

cnf(refute_0_8185,plain,
    product(product(a,c),product(C,c)) = product(product(a,C),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(C)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_8186,plain,
    ( product(product(a,c),product(C,c)) != product(product(a,C),c)
    | product(product(c,C),product(a,b)) != product(product(a,c),product(C,c))
    | product(product(c,C),product(a,b)) = product(product(a,C),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,C),product(a,b)),product(product(a,c),product(C,c))) ),[1],$fot(product(product(a,C),c))]]) ).

cnf(refute_0_8187,plain,
    ( product(product(c,C),product(a,b)) != product(product(a,c),product(C,c))
    | product(product(c,C),product(a,b)) = product(product(a,C),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(C,c)),product(product(a,C),c)) )],[refute_0_8185,refute_0_8186]) ).

cnf(refute_0_8188,plain,
    ( bigC(c,quotient(product(a,b),c),C) != product(product(a,c),product(C,c))
    | product(product(c,C),product(a,b)) = product(product(a,C),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,C),product(a,b)),product(product(a,c),product(C,c))) )],[refute_0_8184,refute_0_8187]) ).

cnf(refute_0_8189,plain,
    product(product(c,C),product(a,b)) = product(product(a,C),c),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),C),product(product(a,c),product(C,c))) )],[refute_0_8181,refute_0_8188]) ).

cnf(refute_0_8190,plain,
    product(product(c,X_22),product(a,b)) = product(product(a,X_22),c),
    inference(subst,[],[refute_0_8189:[bind(C,$fot(X_22))]]) ).

cnf(refute_0_8191,plain,
    ( product(product(c,X_22),product(a,b)) != product(product(a,X_22),c)
    | product(product(c,a),product(X_22,b)) != product(product(c,X_22),product(a,b))
    | product(product(c,a),product(X_22,b)) = product(product(a,X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(X_22,b)),product(product(c,X_22),product(a,b))) ),[1],$fot(product(product(a,X_22),c))]]) ).

cnf(refute_0_8192,plain,
    ( product(product(c,a),product(X_22,b)) != product(product(c,X_22),product(a,b))
    | product(product(c,a),product(X_22,b)) = product(product(a,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),product(a,b)),product(product(a,X_22),c)) )],[refute_0_8190,refute_0_8191]) ).

cnf(refute_0_8193,plain,
    ( bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))) != product(product(c,X_22),product(a,b))
    | product(product(c,a),product(X_22,b)) = product(product(a,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_22,b)),product(product(c,X_22),product(a,b))) )],[refute_0_8177,refute_0_8192]) ).

cnf(refute_0_8194,plain,
    product(product(c,a),product(X_22,b)) = product(product(a,X_22),c),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(c,product(a,c)),product(a,b)),X_22,difference(c,product(a,c))),product(product(c,X_22),product(a,b))) )],[refute_0_8163,refute_0_8193]) ).

cnf(refute_0_8195,plain,
    product(product(c,a),product(product(c,b),b)) = product(product(a,product(c,b)),c),
    inference(subst,[],[refute_0_8194:[bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_8196,plain,
    ( product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | product(product(c,a),product(product(c,b),b)) != product(product(a,product(c,b)),c)
    | product(product(c,a),product(product(c,b),b)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(product(c,b),b)))),bind(Y,$fot(product(product(a,product(c,b)),c))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_8197,plain,
    ( product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | product(product(c,a),product(product(c,b),b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),b)),product(product(a,product(c,b)),c)) )],[refute_0_8195,refute_0_8196]) ).

cnf(refute_0_8198,plain,
    product(product(c,a),product(product(c,b),b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),c),product(a,product(b,product(b,c)))) )],[refute_0_8047,refute_0_8197]) ).

cnf(refute_0_8199,plain,
    ( product(c,product(product(a,c),b)) != product(product(c,a),product(product(c,b),b))
    | product(product(c,a),product(product(c,b),b)) != product(a,product(b,product(b,c)))
    | product(c,product(product(a,c),b)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) ),[0],$fot(product(product(c,a),product(product(c,b),b)))]]) ).

cnf(refute_0_8200,plain,
    ( product(c,product(product(a,c),b)) != product(product(c,a),product(product(c,b),b))
    | product(c,product(product(a,c),b)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),b)),product(a,product(b,product(b,c)))) )],[refute_0_8198,refute_0_8199]) ).

cnf(refute_0_8201,plain,
    product(c,product(product(a,c),b)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(product(c,a),product(product(c,b),b))) )],[refute_0_8129,refute_0_8200]) ).

cnf(refute_0_8202,plain,
    quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)))]]) ).

cnf(refute_0_8203,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) != quotient(product(c,product(product(a,c),b)),bigC(b,b,c))
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),quotient(product(c,product(product(a,c),b)),bigC(b,b,c))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_8204,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),quotient(product(c,product(product(a,c),b)),bigC(b,b,c))) )],[refute_0_8202,refute_0_8203]) ).

cnf(refute_0_8205,plain,
    quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = quotient(product(a,product(b,product(b,c))),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_8201,refute_0_8204]) ).

cnf(refute_0_8206,plain,
    ( quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) != quotient(product(a,product(b,product(b,c))),bigC(b,b,c))
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)))),bind(Y,$fot(quotient(product(a,product(b,product(b,c))),bigC(b,b,c)))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8207,plain,
    ( quotient(product(a,product(b,product(b,c))),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),quotient(product(a,product(b,product(b,c))),bigC(b,b,c))) )],[refute_0_8205,refute_0_8206]) ).

cnf(refute_0_8208,plain,
    quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,product(b,c))),bigC(b,b,c)),bigC(a,a,c)) )],[refute_0_8054,refute_0_8207]) ).

cnf(refute_0_8209,plain,
    ( quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) != bigC(a,a,c)
    | quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) != bigC(c,a,a)
    | bigC(a,a,c) = bigC(c,a,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),bigC(c,a,a)) ),[0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8210,plain,
    ( quotient(product(c,product(product(a,c),b)),bigC(b,b,c)) != bigC(c,a,a)
    | bigC(a,a,c) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),bigC(a,a,c)) )],[refute_0_8208,refute_0_8209]) ).

cnf(refute_0_8211,plain,
    bigC(a,a,c) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),bigC(b,b,c)),bigC(c,a,a)) )],[refute_0_7848,refute_0_8210]) ).

cnf(refute_0_8212,plain,
    ( bigC(a,a,c) != bigC(c,a,a)
    | bigC(c,a,a) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,c))),bind(Y,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_8213,plain,
    bigC(c,a,a) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,a,c),bigC(c,a,a)) )],[refute_0_8211,refute_0_8212]) ).

cnf(refute_0_8214,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | difference(product(c,product(c,a)),product(c,a)) != bigC(c,a,a)
    | difference(product(c,product(c,a)),product(c,a)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,a)),product(c,a)),bigC(c,a,a)) ),[1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8215,plain,
    ( difference(product(c,product(c,a)),product(c,a)) != bigC(c,a,a)
    | difference(product(c,product(c,a)),product(c,a)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_8213,refute_0_8214]) ).

cnf(refute_0_8216,plain,
    difference(product(c,product(c,a)),product(c,a)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),product(c,a)),bigC(c,a,a)) )],[refute_0_7730,refute_0_8215]) ).

cnf(refute_0_8217,plain,
    ( difference(product(c,a),difference(product(c,product(c,a)),product(c,a))) != product(product(c,a),quotient(c,product(c,a)))
    | difference(product(c,product(c,a)),product(c,a)) != bigC(a,a,c)
    | difference(product(c,a),bigC(a,a,c)) = product(product(c,a),quotient(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),difference(product(c,product(c,a)),product(c,a))),product(product(c,a),quotient(c,product(c,a)))) ),[0,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8218,plain,
    ( difference(product(c,a),difference(product(c,product(c,a)),product(c,a))) != product(product(c,a),quotient(c,product(c,a)))
    | difference(product(c,a),bigC(a,a,c)) = product(product(c,a),quotient(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,a)),product(c,a)),bigC(a,a,c)) )],[refute_0_8216,refute_0_8217]) ).

cnf(refute_0_8219,plain,
    difference(product(c,a),bigC(a,a,c)) = product(product(c,a),quotient(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),difference(product(c,product(c,a)),product(c,a))),product(product(c,a),quotient(c,product(c,a)))) )],[refute_0_7715,refute_0_8218]) ).

cnf(refute_0_8220,plain,
    product(product(a,a),c) = product(product(a,a),c),
    introduced(tautology,[refl,[$fot(product(product(a,a),c))]]) ).

cnf(refute_0_8221,plain,
    ( product(a,a) != a
    | product(product(a,a),c) != product(product(a,a),c)
    | product(product(a,a),c) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),c),product(product(a,a),c)) ),[1,0],$fot(a)]]) ).

cnf(refute_0_8222,plain,
    ( product(a,a) != a
    | product(product(a,a),c) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),c),product(product(a,a),c)) )],[refute_0_8220,refute_0_8221]) ).

cnf(refute_0_8223,plain,
    product(product(a,a),c) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_8222]) ).

cnf(refute_0_8224,plain,
    product(product(c,a),quotient(c,product(c,a))) = product(product(a,a),c),
    inference(subst,[],[refute_0_4241:[bind(A,$fot(c)),bind(B,$fot(a)),bind(X_29,$fot(a))]]) ).

cnf(refute_0_8225,plain,
    ( product(product(a,a),c) != product(a,c)
    | product(product(c,a),quotient(c,product(c,a))) != product(product(a,a),c)
    | product(product(c,a),quotient(c,product(c,a))) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),quotient(c,product(c,a))))),bind(Y,$fot(product(product(a,a),c))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_8226,plain,
    ( product(product(a,a),c) != product(a,c)
    | product(product(c,a),quotient(c,product(c,a))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(c,product(c,a))),product(product(a,a),c)) )],[refute_0_8224,refute_0_8225]) ).

cnf(refute_0_8227,plain,
    product(product(c,a),quotient(c,product(c,a))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(a,a),c),product(a,c)) )],[refute_0_8223,refute_0_8226]) ).

cnf(refute_0_8228,plain,
    ( difference(product(c,a),bigC(a,a,c)) != product(product(c,a),quotient(c,product(c,a)))
    | product(product(c,a),quotient(c,product(c,a))) != product(a,c)
    | difference(product(c,a),bigC(a,a,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,a),bigC(a,a,c)),product(a,c)) ),[0],$fot(product(product(c,a),quotient(c,product(c,a))))]]) ).

cnf(refute_0_8229,plain,
    ( difference(product(c,a),bigC(a,a,c)) != product(product(c,a),quotient(c,product(c,a)))
    | difference(product(c,a),bigC(a,a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(c,product(c,a))),product(a,c)) )],[refute_0_8227,refute_0_8228]) ).

cnf(refute_0_8230,plain,
    difference(product(c,a),bigC(a,a,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,c)),product(product(c,a),quotient(c,product(c,a)))) )],[refute_0_8219,refute_0_8229]) ).

cnf(refute_0_8231,plain,
    ( difference(product(c,a),bigC(a,a,c)) != product(a,c)
    | quotient(bigC(a,a,c),difference(product(c,a),bigC(a,a,c))) != product(c,a)
    | quotient(bigC(a,a,c),product(a,c)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),difference(product(c,a),bigC(a,a,c))),product(c,a)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_8232,plain,
    ( quotient(bigC(a,a,c),difference(product(c,a),bigC(a,a,c))) != product(c,a)
    | quotient(bigC(a,a,c),product(a,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,c)),product(a,c)) )],[refute_0_8230,refute_0_8231]) ).

cnf(refute_0_8233,plain,
    quotient(bigC(a,a,c),product(a,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),difference(product(c,a),bigC(a,a,c))),product(c,a)) )],[refute_0_7714,refute_0_8232]) ).

cnf(refute_0_8234,plain,
    product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_8235,plain,
    ( product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = product(bigC(a,a,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_8236,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = product(bigC(a,a,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_8234,refute_0_8235]) ).

cnf(refute_0_8237,plain,
    product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = product(bigC(a,a,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(a,c)),product(c,a)) )],[refute_0_8233,refute_0_8236]) ).

cnf(refute_0_8238,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) != product(bigC(a,a,c),product(c,a))
    | product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))))),bind(Y,$fot(product(bigC(a,a,c),product(c,a)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_8239,plain,
    ( product(bigC(a,a,c),product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),product(bigC(a,a,c),product(c,a))) )],[refute_0_8237,refute_0_8238]) ).

cnf(refute_0_8240,plain,
    product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_7713,refute_0_8239]) ).

cnf(refute_0_8241,plain,
    ( product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))) != bigC(a,c,product(c,a))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = bigC(a,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) ),[1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_8242,plain,
    ( product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) != product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c))),bigC(a,c,product(c,a))) )],[refute_0_8240,refute_0_8241]) ).

cnf(refute_0_8243,plain,
    product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),product(bigC(a,a,c),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_7708,refute_0_8242]) ).

cnf(refute_0_8244,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(a,a,c))),bind(X_23,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_8245,plain,
    quotient(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(subst,[],[refute_0_731:[bind(X_76,$fot(bigC(b,a,b))),bind(X_77,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8246,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) = product(bigC(b,a,b),product(bigC(a,a,c),bigC(b,a,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(b,a,b))),bind(X_23,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8247,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) != product(bigC(b,a,b),product(bigC(a,a,c),bigC(b,a,b)))
    | product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)),product(bigC(b,a,b),product(bigC(a,a,c),bigC(b,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8248,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) != product(bigC(b,a,b),product(bigC(a,a,c),bigC(b,a,b)))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_620,refute_0_8247]) ).

cnf(refute_0_8249,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) = product(bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)),product(bigC(b,a,b),product(bigC(a,a,c),bigC(b,a,b)))) )],[refute_0_8246,refute_0_8248]) ).

cnf(refute_0_8250,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) = bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(b,a,b))),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_8251,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) != bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) != product(bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)),product(bigC(b,a,b),product(a,product(b,c)))) ),[0],$fot(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)))]]) ).

cnf(refute_0_8252,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)) != product(bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)),bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))) )],[refute_0_8250,refute_0_8251]) ).

cnf(refute_0_8253,plain,
    bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = product(bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(a,a,c)),product(bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_8249,refute_0_8252]) ).

cnf(refute_0_8254,plain,
    bigC(product(product(c,b),product(b,a)),B,product(c,b)) = product(product(product(product(c,b),product(b,a)),B),product(product(c,b),product(product(c,b),product(b,a)))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(c,b),product(b,a)))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_8255,plain,
    ( bigC(product(product(c,b),product(b,a)),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),product(product(c,b),product(product(c,b),product(b,a))))
    | product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | bigC(product(product(c,b),product(b,a)),B,product(c,b)) = product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),product(product(product(product(c,b),product(b,a)),B),product(product(c,b),product(product(c,b),product(b,a))))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_8256,plain,
    ( bigC(product(product(c,b),product(b,a)),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),product(product(c,b),product(product(c,b),product(b,a))))
    | bigC(product(product(c,b),product(b,a)),B,product(c,b)) = product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_8255]) ).

cnf(refute_0_8257,plain,
    bigC(product(product(c,b),product(b,a)),B,product(c,b)) = product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),product(product(product(product(c,b),product(b,a)),B),product(product(c,b),product(product(c,b),product(b,a))))) )],[refute_0_8254,refute_0_8256]) ).

cnf(refute_0_8258,plain,
    bigC(product(product(c,b),product(b,a)),B,product(c,b)) = bigC(product(product(c,b),product(b,a)),B,product(c,b)),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),product(b,a)),B,product(c,b)))]]) ).

cnf(refute_0_8259,plain,
    ( bigC(product(product(c,b),product(b,a)),B,product(c,b)) != bigC(product(product(c,b),product(b,a)),B,product(c,b))
    | product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(product(c,b),product(b,a)),B,product(c,b)) = bigC(product(b,c),B,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),bigC(product(product(c,b),product(b,a)),B,product(c,b))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_8260,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | bigC(product(product(c,b),product(b,a)),B,product(c,b)) = bigC(product(b,c),B,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),bigC(product(product(c,b),product(b,a)),B,product(c,b))) )],[refute_0_8258,refute_0_8259]) ).

cnf(refute_0_8261,plain,
    bigC(product(product(c,b),product(b,a)),B,product(c,b)) = bigC(product(b,c),B,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_8260]) ).

cnf(refute_0_8262,plain,
    ( bigC(product(product(c,b),product(b,a)),B,product(c,b)) != bigC(product(b,c),B,product(c,b))
    | bigC(product(product(c,b),product(b,a)),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))
    | bigC(product(b,c),B,product(c,b)) = product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))) ),[0],$fot(bigC(product(b,c),B,product(c,b)))]]) ).

cnf(refute_0_8263,plain,
    ( bigC(product(product(c,b),product(b,a)),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))
    | bigC(product(b,c),B,product(c,b)) = product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),bigC(product(b,c),B,product(c,b))) )],[refute_0_8261,refute_0_8262]) ).

cnf(refute_0_8264,plain,
    product(product(product(b,c),B),bigC(c,b,b)) = bigC(product(b,c),product(c,b),B),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(B)),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_8265,plain,
    product(product(product(c,b),product(b,a)),B) = product(product(product(c,b),product(b,a)),B),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(b,a)),B))]]) ).

cnf(refute_0_8266,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(product(c,b),product(b,a)),B) != product(product(product(c,b),product(b,a)),B)
    | product(product(product(c,b),product(b,a)),B) = product(product(b,c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(b,a)),B),product(product(product(c,b),product(b,a)),B)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_8267,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(product(c,b),product(b,a)),B) = product(product(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),B),product(product(product(c,b),product(b,a)),B)) )],[refute_0_8265,refute_0_8266]) ).

cnf(refute_0_8268,plain,
    product(product(product(c,b),product(b,a)),B) = product(product(b,c),B),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_8267]) ).

cnf(refute_0_8269,plain,
    product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)))]]) ).

cnf(refute_0_8270,plain,
    ( product(product(product(c,b),product(b,a)),B) != product(product(b,c),B)
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) != product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = product(product(product(b,c),B),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)),product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))) ),[1,0],$fot(product(product(b,c),B))]]) ).

cnf(refute_0_8271,plain,
    ( product(product(product(c,b),product(b,a)),B) != product(product(b,c),B)
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = product(product(product(b,c),B),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)),product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))) )],[refute_0_8269,refute_0_8270]) ).

cnf(refute_0_8272,plain,
    product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = product(product(product(b,c),B),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),B),product(product(b,c),B)) )],[refute_0_8268,refute_0_8271]) ).

cnf(refute_0_8273,plain,
    ( product(product(product(b,c),B),bigC(c,b,b)) != bigC(product(b,c),product(c,b),B)
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) != product(product(product(b,c),B),bigC(c,b,b))
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = bigC(product(b,c),product(c,b),B) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)))),bind(Y,$fot(product(product(product(b,c),B),bigC(c,b,b)))),bind(Z,$fot(bigC(product(b,c),product(c,b),B)))]]) ).

cnf(refute_0_8274,plain,
    ( product(product(product(b,c),B),bigC(c,b,b)) != bigC(product(b,c),product(c,b),B)
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = bigC(product(b,c),product(c,b),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)),product(product(product(b,c),B),bigC(c,b,b))) )],[refute_0_8272,refute_0_8273]) ).

cnf(refute_0_8275,plain,
    product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) = bigC(product(b,c),product(c,b),B),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),B),bigC(c,b,b)),bigC(product(b,c),product(c,b),B)) )],[refute_0_8264,refute_0_8274]) ).

cnf(refute_0_8276,plain,
    ( bigC(product(b,c),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))
    | product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)) != bigC(product(b,c),product(c,b),B)
    | bigC(product(b,c),B,product(c,b)) = bigC(product(b,c),product(c,b),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),B,product(c,b)),bigC(product(b,c),product(c,b),B)) ),[0],$fot(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)))]]) ).

cnf(refute_0_8277,plain,
    ( bigC(product(b,c),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))
    | bigC(product(b,c),B,product(c,b)) = bigC(product(b,c),product(c,b),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b)),bigC(product(b,c),product(c,b),B)) )],[refute_0_8275,refute_0_8276]) ).

cnf(refute_0_8278,plain,
    ( bigC(product(product(c,b),product(b,a)),B,product(c,b)) != product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))
    | bigC(product(b,c),B,product(c,b)) = bigC(product(b,c),product(c,b),B) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,product(c,b)),product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))) )],[refute_0_8263,refute_0_8277]) ).

cnf(refute_0_8279,plain,
    bigC(product(b,c),B,product(c,b)) = bigC(product(b,c),product(c,b),B),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),B,product(c,b)),product(product(product(product(c,b),product(b,a)),B),bigC(c,b,b))) )],[refute_0_8257,refute_0_8278]) ).

cnf(refute_0_8280,plain,
    ( bigC(product(b,c),B,product(c,b)) != bigC(product(b,c),product(c,b),B)
    | bigC(product(b,c),product(c,b),B) = bigC(product(b,c),B,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,c),B,product(c,b)))),bind(Y,$fot(bigC(product(b,c),product(c,b),B)))]]) ).

cnf(refute_0_8281,plain,
    bigC(product(b,c),product(c,b),B) = bigC(product(b,c),B,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),B,product(c,b)),bigC(product(b,c),product(c,b),B)) )],[refute_0_8279,refute_0_8280]) ).

cnf(refute_0_8282,plain,
    bigC(product(b,c),product(c,b),a) = bigC(product(b,c),a,product(c,b)),
    inference(subst,[],[refute_0_8281:[bind(B,$fot(a))]]) ).

cnf(refute_0_8283,plain,
    bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,quotient(bigC(b,a,b),product(c,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(b,a,b))),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_8284,plain,
    quotient(bigC(b,c,c),product(c,b)) = product(b,c),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_8285,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | quotient(bigC(b,c,c),product(c,b)) != product(b,c)
    | quotient(bigC(b,a,b),product(c,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,c,c),product(c,b)),product(b,c)) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_8286,plain,
    ( quotient(bigC(b,c,c),product(c,b)) != product(b,c)
    | quotient(bigC(b,a,b),product(c,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_691,refute_0_8285]) ).

cnf(refute_0_8287,plain,
    quotient(bigC(b,a,b),product(c,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,c),product(c,b)),product(b,c)) )],[refute_0_8284,refute_0_8286]) ).

cnf(refute_0_8288,plain,
    ( bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,quotient(bigC(b,a,b),product(c,b))))
    | quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),product(bigC(b,a,b),product(X_23,quotient(bigC(b,a,b),product(c,b))))) ),[1,1,1],$fot(product(b,c))]]) ).

cnf(refute_0_8289,plain,
    ( bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,quotient(bigC(b,a,b),product(c,b))))
    | bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) )],[refute_0_8287,refute_0_8288]) ).

cnf(refute_0_8290,plain,
    bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),product(bigC(b,a,b),product(X_23,quotient(bigC(b,a,b),product(c,b))))) )],[refute_0_8283,refute_0_8289]) ).

cnf(refute_0_8291,plain,
    bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23))]]) ).

cnf(refute_0_8292,plain,
    ( bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) != bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23)
    | quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = bigC(product(b,c),product(c,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_8293,plain,
    ( quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = bigC(product(b,c),product(c,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23)) )],[refute_0_8291,refute_0_8292]) ).

cnf(refute_0_8294,plain,
    bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) = bigC(product(b,c),product(c,b),X_23),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) )],[refute_0_8287,refute_0_8293]) ).

cnf(refute_0_8295,plain,
    ( bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) != bigC(product(b,c),product(c,b),X_23)
    | bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),product(bigC(b,a,b),product(X_23,product(b,c)))) ),[0],$fot(bigC(product(b,c),product(c,b),X_23))]]) ).

cnf(refute_0_8296,plain,
    ( bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),bigC(product(b,c),product(c,b),X_23)) )],[refute_0_8294,refute_0_8295]) ).

cnf(refute_0_8297,plain,
    bigC(product(b,c),product(c,b),X_23) = product(bigC(b,a,b),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,a,b),product(c,b)),product(c,b),X_23),product(bigC(b,a,b),product(X_23,product(b,c)))) )],[refute_0_8290,refute_0_8296]) ).

cnf(refute_0_8298,plain,
    ( bigC(product(b,c),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,product(b,c)))
    | product(bigC(b,a,b),product(X_23,product(b,c))) = bigC(product(b,c),product(c,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,c),product(c,b),X_23))),bind(Y,$fot(product(bigC(b,a,b),product(X_23,product(b,c)))))]]) ).

cnf(refute_0_8299,plain,
    product(bigC(b,a,b),product(X_23,product(b,c))) = bigC(product(b,c),product(c,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,b),X_23),product(bigC(b,a,b),product(X_23,product(b,c)))) )],[refute_0_8297,refute_0_8298]) ).

cnf(refute_0_8300,plain,
    product(bigC(b,a,b),product(a,product(b,c))) = bigC(product(b,c),product(c,b),a),
    inference(subst,[],[refute_0_8299:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_8301,plain,
    ( bigC(product(b,c),product(c,b),a) != bigC(product(b,c),a,product(c,b))
    | product(bigC(b,a,b),product(a,product(b,c))) != bigC(product(b,c),product(c,b),a)
    | product(bigC(b,a,b),product(a,product(b,c))) = bigC(product(b,c),a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),product(a,product(b,c))))),bind(Y,$fot(bigC(product(b,c),product(c,b),a))),bind(Z,$fot(bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_8302,plain,
    ( bigC(product(b,c),product(c,b),a) != bigC(product(b,c),a,product(c,b))
    | product(bigC(b,a,b),product(a,product(b,c))) = bigC(product(b,c),a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,product(b,c))),bigC(product(b,c),product(c,b),a)) )],[refute_0_8300,refute_0_8301]) ).

cnf(refute_0_8303,plain,
    product(bigC(b,a,b),product(a,product(b,c))) = bigC(product(b,c),a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,b),a),bigC(product(b,c),a,product(c,b))) )],[refute_0_8282,refute_0_8302]) ).

cnf(refute_0_8304,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != product(bigC(b,a,b),product(a,product(b,c)))
    | product(bigC(b,a,b),product(a,product(b,c))) != bigC(product(b,c),a,product(c,b))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = bigC(product(b,c),a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(product(b,c),a,product(c,b))) ),[0],$fot(product(bigC(b,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_8305,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != product(bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = bigC(product(b,c),a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) )],[refute_0_8303,refute_0_8304]) ).

cnf(refute_0_8306,plain,
    bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = bigC(product(b,c),a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),product(bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_8253,refute_0_8305]) ).

cnf(refute_0_8307,plain,
    product(product(product(b,c),c),product(c,product(c,b))) = c,
    inference(subst,[],[sos07:[bind(A,$fot(b)),bind(B,$fot(c))]]) ).

cnf(refute_0_8308,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(c,product(c,b))) != c
    | product(product(b,product(a,c)),product(c,product(c,b))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(c,product(c,b))),c) ),[0,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_8309,plain,
    ( product(product(product(b,c),c),product(c,product(c,b))) != c
    | product(product(b,product(a,c)),product(c,product(c,b))) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_8308]) ).

cnf(refute_0_8310,plain,
    product(product(b,product(a,c)),product(c,product(c,b))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(c,product(c,b))),c) )],[refute_0_8307,refute_0_8309]) ).

cnf(refute_0_8311,plain,
    product(bigC(b,a,b),product(product(a,c),c)) = product(bigC(b,a,b),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(product(a,c),c)))]]) ).

cnf(refute_0_8312,plain,
    ( product(bigC(b,a,b),product(product(a,c),c)) != product(bigC(b,a,b),product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | product(bigC(b,a,b),product(product(a,c),c)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(product(a,c),c)),product(bigC(b,a,b),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8313,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(bigC(b,a,b),product(product(a,c),c)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(a,c),c)),product(bigC(b,a,b),product(product(a,c),c))) )],[refute_0_8311,refute_0_8312]) ).

cnf(refute_0_8314,plain,
    product(bigC(b,a,b),product(product(a,c),c)) = product(bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_8313]) ).

cnf(refute_0_8315,plain,
    product(product(b,product(a,b)),product(product(a,c),c)) = product(product(b,product(a,b)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(b,product(a,b)),product(product(a,c),c)))]]) ).

cnf(refute_0_8316,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | product(product(b,product(a,b)),product(product(a,c),c)) != product(product(b,product(a,b)),product(product(a,c),c))
    | product(product(b,product(a,b)),product(product(a,c),c)) = product(bigC(b,a,b),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,b)),product(product(a,c),c)),product(product(b,product(a,b)),product(product(a,c),c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_8317,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | product(product(b,product(a,b)),product(product(a,c),c)) = product(bigC(b,a,b),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),product(product(a,c),c)),product(product(b,product(a,b)),product(product(a,c),c))) )],[refute_0_8315,refute_0_8316]) ).

cnf(refute_0_8318,plain,
    product(product(b,product(a,b)),product(product(a,c),c)) = product(bigC(b,a,b),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(b,a,b)) )],[refute_0_307,refute_0_8317]) ).

cnf(refute_0_8319,plain,
    ( product(bigC(b,a,b),product(product(a,c),c)) != product(bigC(b,a,b),product(a,product(b,c)))
    | product(product(b,product(a,b)),product(product(a,c),c)) != product(bigC(b,a,b),product(product(a,c),c))
    | product(product(b,product(a,b)),product(product(a,c),c)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,b)),product(product(a,c),c)))),bind(Y,$fot(product(bigC(b,a,b),product(product(a,c),c)))),bind(Z,$fot(product(bigC(b,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_8320,plain,
    ( product(bigC(b,a,b),product(product(a,c),c)) != product(bigC(b,a,b),product(a,product(b,c)))
    | product(product(b,product(a,b)),product(product(a,c),c)) = product(bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),product(product(a,c),c)),product(bigC(b,a,b),product(product(a,c),c))) )],[refute_0_8318,refute_0_8319]) ).

cnf(refute_0_8321,plain,
    product(product(b,product(a,b)),product(product(a,c),c)) = product(bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(a,c),c)),product(bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_8314,refute_0_8320]) ).

cnf(refute_0_8322,plain,
    ( product(bigC(b,a,b),product(a,product(b,c))) != bigC(product(b,c),a,product(c,b))
    | product(product(b,product(a,b)),product(product(a,c),c)) != product(bigC(b,a,b),product(a,product(b,c)))
    | product(product(b,product(a,b)),product(product(a,c),c)) = bigC(product(b,c),a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,b)),product(product(a,c),c)))),bind(Y,$fot(product(bigC(b,a,b),product(a,product(b,c))))),bind(Z,$fot(bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_8323,plain,
    ( product(bigC(b,a,b),product(a,product(b,c))) != bigC(product(b,c),a,product(c,b))
    | product(product(b,product(a,b)),product(product(a,c),c)) = bigC(product(b,c),a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),product(product(a,c),c)),product(bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_8321,refute_0_8322]) ).

cnf(refute_0_8324,plain,
    product(product(b,product(a,b)),product(product(a,c),c)) = bigC(product(b,c),a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) )],[refute_0_8303,refute_0_8323]) ).

cnf(refute_0_8325,plain,
    product(product(A,product(a,b)),product(C,c)) = product(product(A,C),product(product(a,b),c)),
    inference(subst,[],[sos05:[bind(B,$fot(product(a,b))),bind(D,$fot(c))]]) ).

cnf(refute_0_8326,plain,
    ( product(product(A,product(a,b)),product(C,c)) != product(product(A,C),product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | product(product(A,product(a,b)),product(C,c)) = product(product(A,C),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(a,b)),product(C,c)),product(product(A,C),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8327,plain,
    ( product(product(A,product(a,b)),product(C,c)) != product(product(A,C),product(product(a,b),c))
    | product(product(A,product(a,b)),product(C,c)) = product(product(A,C),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_8326]) ).

cnf(refute_0_8328,plain,
    product(product(A,product(a,b)),product(C,c)) = product(product(A,C),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,b)),product(C,c)),product(product(A,C),product(product(a,b),c))) )],[refute_0_8325,refute_0_8327]) ).

cnf(refute_0_8329,plain,
    ( product(product(A,product(a,b)),product(C,c)) != product(product(A,C),product(c,product(c,b)))
    | product(product(A,C),product(c,product(c,b))) = product(product(A,product(a,b)),product(C,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,product(a,b)),product(C,c)))),bind(Y,$fot(product(product(A,C),product(c,product(c,b)))))]]) ).

cnf(refute_0_8330,plain,
    product(product(A,C),product(c,product(c,b))) = product(product(A,product(a,b)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(a,b)),product(C,c)),product(product(A,C),product(c,product(c,b)))) )],[refute_0_8328,refute_0_8329]) ).

cnf(refute_0_8331,plain,
    product(product(b,product(a,c)),product(c,product(c,b))) = product(product(b,product(a,b)),product(product(a,c),c)),
    inference(subst,[],[refute_0_8330:[bind(A,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_8332,plain,
    ( product(product(b,product(a,b)),product(product(a,c),c)) != bigC(product(b,c),a,product(c,b))
    | product(product(b,product(a,c)),product(c,product(c,b))) != product(product(b,product(a,b)),product(product(a,c),c))
    | product(product(b,product(a,c)),product(c,product(c,b))) = bigC(product(b,c),a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(c,product(c,b))))),bind(Y,$fot(product(product(b,product(a,b)),product(product(a,c),c)))),bind(Z,$fot(bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_8333,plain,
    ( product(product(b,product(a,b)),product(product(a,c),c)) != bigC(product(b,c),a,product(c,b))
    | product(product(b,product(a,c)),product(c,product(c,b))) = bigC(product(b,c),a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,b))),product(product(b,product(a,b)),product(product(a,c),c))) )],[refute_0_8331,refute_0_8332]) ).

cnf(refute_0_8334,plain,
    product(product(b,product(a,c)),product(c,product(c,b))) = bigC(product(b,c),a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,b)),product(product(a,c),c)),bigC(product(b,c),a,product(c,b))) )],[refute_0_8324,refute_0_8333]) ).

cnf(refute_0_8335,plain,
    ( product(product(b,product(a,c)),product(c,product(c,b))) != bigC(product(b,c),a,product(c,b))
    | product(product(b,product(a,c)),product(c,product(c,b))) != c
    | bigC(product(b,c),a,product(c,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,b))),c) ),[0],$fot(bigC(product(b,c),a,product(c,b)))]]) ).

cnf(refute_0_8336,plain,
    ( product(product(b,product(a,c)),product(c,product(c,b))) != c
    | bigC(product(b,c),a,product(c,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,b))),bigC(product(b,c),a,product(c,b))) )],[refute_0_8334,refute_0_8335]) ).

cnf(refute_0_8337,plain,
    bigC(product(b,c),a,product(c,b)) = c,
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(c,product(c,b))),c) )],[refute_0_8310,refute_0_8336]) ).

cnf(refute_0_8338,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != bigC(product(b,c),a,product(c,b))
    | bigC(product(b,c),a,product(c,b)) != c
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),c) ),[0],$fot(bigC(product(b,c),a,product(c,b)))]]) ).

cnf(refute_0_8339,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != bigC(product(b,c),a,product(c,b))
    | bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = c ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),a,product(c,b)),c) )],[refute_0_8337,refute_0_8338]) ).

cnf(refute_0_8340,plain,
    bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) = c,
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(product(b,c),a,product(c,b))) )],[refute_0_8306,refute_0_8339]) ).

cnf(refute_0_8341,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != c
    | quotient(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(c,bigC(b,a,b)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),bigC(a,a,c))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_8342,plain,
    ( quotient(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(c,bigC(b,a,b)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),c) )],[refute_0_8340,refute_0_8341]) ).

cnf(refute_0_8343,plain,
    quotient(c,bigC(b,a,b)) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8245,refute_0_8342]) ).

cnf(refute_0_8344,plain,
    ( quotient(c,bigC(b,a,b)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(bigC(b,a,b),bigC(a,a,c)) = quotient(c,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(c,bigC(b,a,b)))),bind(Y,$fot(product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_8345,plain,
    product(bigC(b,a,b),bigC(a,a,c)) = quotient(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8343,refute_0_8344]) ).

cnf(refute_0_8346,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c)))
    | product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c)))) ),[1,1],$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_8347,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c)))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8345,refute_0_8346]) ).

cnf(refute_0_8348,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_8244,refute_0_8347]) ).

cnf(refute_0_8349,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(product(a,product(b,c)),bigC(a,a,c))
    | product(product(a,product(b,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) ),[0],$fot(product(product(a,product(b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_8350,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | product(product(a,product(b,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(product(a,product(b,c)),bigC(a,a,c))) )],[refute_0_7685,refute_0_8349]) ).

cnf(refute_0_8351,plain,
    product(product(a,product(b,c)),bigC(a,a,c)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(b,a,b)),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) )],[refute_0_8348,refute_0_8350]) ).

cnf(refute_0_8352,plain,
    ( product(product(a,product(b,c)),bigC(a,a,c)) != bigC(a,product(a,c),product(b,c))
    | product(product(a,product(b,c)),bigC(a,a,c)) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) ),[0],$fot(bigC(a,product(a,c),product(b,c)))]]) ).

cnf(refute_0_8353,plain,
    ( product(product(a,product(b,c)),bigC(a,a,c)) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,product(a,c),product(b,c))) )],[refute_0_7701,refute_0_8352]) ).

cnf(refute_0_8354,plain,
    bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) )],[refute_0_8351,refute_0_8353]) ).

cnf(refute_0_8355,plain,
    quotient(c,bigC(b,a,b)) = quotient(c,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_8356,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(c,bigC(b,a,b)) != quotient(c,bigC(b,a,b))
    | quotient(c,bigC(b,a,b)) = quotient(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_8357,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(c,bigC(b,a,b)) = quotient(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(b,a,b))) )],[refute_0_8355,refute_0_8356]) ).

cnf(refute_0_8358,plain,
    quotient(c,bigC(b,a,b)) = quotient(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_8357]) ).

cnf(refute_0_8359,plain,
    product(bigC(a,a,c),quotient(c,bigC(b,a,b))) = product(bigC(a,a,c),quotient(c,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_8360,plain,
    ( product(bigC(a,a,c),quotient(c,bigC(b,a,b))) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | product(bigC(a,a,c),quotient(c,bigC(b,a,b))) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(b,a,b))),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) ),[1,1],$fot(quotient(c,bigC(a,b,b)))]]) ).

cnf(refute_0_8361,plain,
    ( quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | product(bigC(a,a,c),quotient(c,bigC(b,a,b))) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(b,a,b))),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) )],[refute_0_8359,refute_0_8360]) ).

cnf(refute_0_8362,plain,
    product(bigC(a,a,c),quotient(c,bigC(b,a,b))) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(a,b,b))) )],[refute_0_8358,refute_0_8361]) ).

cnf(refute_0_8363,plain,
    ( bigC(a,product(a,c),product(b,c)) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | product(bigC(a,a,c),quotient(c,bigC(b,a,b))) != product(bigC(a,a,c),quotient(c,bigC(a,b,b)))
    | bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(a,c),product(b,c)),product(bigC(a,a,c),quotient(c,bigC(a,b,b)))) ),[0],$fot(product(bigC(a,a,c),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_8364,plain,
    ( bigC(a,product(a,c),product(b,c)) != product(bigC(a,a,c),quotient(c,bigC(b,a,b)))
    | bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(b,a,b))),product(bigC(a,a,c),quotient(c,bigC(a,b,b)))) )],[refute_0_8362,refute_0_8363]) ).

cnf(refute_0_8365,plain,
    bigC(a,product(a,c),product(b,c)) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(b,c)),product(bigC(a,a,c),quotient(c,bigC(b,a,b)))) )],[refute_0_8354,refute_0_8364]) ).

cnf(refute_0_8366,plain,
    bigC(a,c,product(c,c)) = bigC(a,c,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(a,c,product(c,c)))]]) ).

cnf(refute_0_8367,plain,
    ( bigC(a,c,product(c,c)) != bigC(a,c,product(c,c))
    | product(c,c) != c
    | bigC(a,c,product(c,c)) = bigC(a,c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,c,product(c,c)),bigC(a,c,product(c,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_8368,plain,
    ( product(c,c) != c
    | bigC(a,c,product(c,c)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,c)),bigC(a,c,product(c,c))) )],[refute_0_8366,refute_0_8367]) ).

cnf(refute_0_8369,plain,
    bigC(a,c,product(c,c)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_8368]) ).

cnf(refute_0_8370,plain,
    bigC(product(a,a),c,product(c,c)) = bigC(product(a,a),c,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),c,product(c,c)))]]) ).

cnf(refute_0_8371,plain,
    ( bigC(product(a,a),c,product(c,c)) != bigC(product(a,a),c,product(c,c))
    | product(a,a) != a
    | bigC(product(a,a),c,product(c,c)) = bigC(a,c,product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),c,product(c,c)),bigC(product(a,a),c,product(c,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_8372,plain,
    ( product(a,a) != a
    | bigC(product(a,a),c,product(c,c)) = bigC(a,c,product(c,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,c)),bigC(product(a,a),c,product(c,c))) )],[refute_0_8370,refute_0_8371]) ).

cnf(refute_0_8373,plain,
    bigC(product(a,a),c,product(c,c)) = bigC(a,c,product(c,c)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_8372]) ).

cnf(refute_0_8374,plain,
    ( bigC(a,c,product(c,c)) != bigC(a,c,c)
    | bigC(product(a,a),c,product(c,c)) != bigC(a,c,product(c,c))
    | bigC(product(a,a),c,product(c,c)) = bigC(a,c,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,a),c,product(c,c)))),bind(Y,$fot(bigC(a,c,product(c,c)))),bind(Z,$fot(bigC(a,c,c)))]]) ).

cnf(refute_0_8375,plain,
    ( bigC(a,c,product(c,c)) != bigC(a,c,c)
    | bigC(product(a,a),c,product(c,c)) = bigC(a,c,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,c)),bigC(a,c,product(c,c))) )],[refute_0_8373,refute_0_8374]) ).

cnf(refute_0_8376,plain,
    bigC(product(a,a),c,product(c,c)) = bigC(a,c,c),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,c)),bigC(a,c,c)) )],[refute_0_8369,refute_0_8375]) ).

cnf(refute_0_8377,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | bigC(product(a,a),c,product(c,c)) != bigC(a,c,c)
    | bigC(product(a,a),c,product(c,c)) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,a),c,product(c,c)))),bind(Y,$fot(bigC(a,c,c))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8378,plain,
    ( bigC(a,c,c) != bigC(a,a,b)
    | bigC(product(a,a),c,product(c,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,c)),bigC(a,c,c)) )],[refute_0_8376,refute_0_8377]) ).

cnf(refute_0_8379,plain,
    bigC(product(a,a),c,product(c,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,c,c),bigC(a,a,b)) )],[refute_0_4895,refute_0_8378]) ).

cnf(refute_0_8380,plain,
    product(bigC(a,a,c),product(c,product(c,a))) = bigC(product(a,a),c,product(c,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(c)),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_8381,plain,
    ( bigC(product(a,a),c,product(c,c)) != bigC(a,a,b)
    | product(bigC(a,a,c),product(c,product(c,a))) != bigC(product(a,a),c,product(c,c))
    | product(bigC(a,a,c),product(c,product(c,a))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),product(c,product(c,a))))),bind(Y,$fot(bigC(product(a,a),c,product(c,c)))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8382,plain,
    ( bigC(product(a,a),c,product(c,c)) != bigC(a,a,b)
    | product(bigC(a,a,c),product(c,product(c,a))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,product(c,a))),bigC(product(a,a),c,product(c,c))) )],[refute_0_8380,refute_0_8381]) ).

cnf(refute_0_8383,plain,
    product(bigC(a,a,c),product(c,product(c,a))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,c)),bigC(a,a,b)) )],[refute_0_8379,refute_0_8382]) ).

cnf(refute_0_8384,plain,
    quotient(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(subst,[],[sos03:[bind(A,$fot(product(bigC(b,a,b),bigC(a,a,c)))),bind(B,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8385,plain,
    ( product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) != quotient(bigC(a,a,c),product(a,c))
    | quotient(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) ),[0,0],$fot(quotient(bigC(a,a,c),product(a,c)))]]) ).

cnf(refute_0_8386,plain,
    ( quotient(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) )],[refute_0_7674,refute_0_8385]) ).

cnf(refute_0_8387,plain,
    quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8384,refute_0_8386]) ).

cnf(refute_0_8388,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) ),[1],$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_8389,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8345,refute_0_8388]) ).

cnf(refute_0_8390,plain,
    quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8387,refute_0_8389]) ).

cnf(refute_0_8391,plain,
    ( quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) ),[1],$fot(quotient(c,bigC(a,b,b)))]]) ).

cnf(refute_0_8392,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(a,b,b))) )],[refute_0_8358,refute_0_8391]) ).

cnf(refute_0_8393,plain,
    quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8390,refute_0_8392]) ).

cnf(refute_0_8394,plain,
    quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))) = product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(a,b))),bind(X_16,$fot(product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_8395,plain,
    ( product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))) != product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))),product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))) ),[0,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_8396,plain,
    ( quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))) != product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_8395]) ).

cnf(refute_0_8397,plain,
    quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b)))),product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))) )],[refute_0_8394,refute_0_8396]) ).

cnf(refute_0_8398,plain,
    ( product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))) ),[1],$fot(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_8399,plain,
    ( quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) )],[refute_0_7002,refute_0_8398]) ).

cnf(refute_0_8400,plain,
    quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),product(product(product(a,b),product(bigC(c,b,a),a)),product(bigC(c,b,a),a))) )],[refute_0_8397,refute_0_8399]) ).

cnf(refute_0_8401,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))))]]) ).

cnf(refute_0_8402,plain,
    ( product(product(bigC(c,b,a),a),product(a,c)) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) != quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c)))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c)))) ),[1,1],$fot(product(product(bigC(c,a,b),a),product(a,c)))]]) ).

cnf(refute_0_8403,plain,
    ( product(product(bigC(c,b,a),a),product(a,c)) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_8401,refute_0_8402]) ).

cnf(refute_0_8404,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,c)),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_7013,refute_0_8403]) ).

cnf(refute_0_8405,plain,
    quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))))]]) ).

cnf(refute_0_8406,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c)))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c)))) ),[1,0],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_8407,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_8405,refute_0_8406]) ).

cnf(refute_0_8408,plain,
    quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_8407]) ).

cnf(refute_0_8409,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) != quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c)))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))))),bind(Y,$fot(quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))))),bind(Z,$fot(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))))]]) ).

cnf(refute_0_8410,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))) != quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c)))) )],[refute_0_8408,refute_0_8409]) ).

cnf(refute_0_8411,plain,
    quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_8404,refute_0_8410]) ).

cnf(refute_0_8412,plain,
    ( quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) ),[0],$fot(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))))]]) ).

cnf(refute_0_8413,plain,
    ( quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_8411,refute_0_8412]) ).

cnf(refute_0_8414,plain,
    ( product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) ),[1],$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_8415,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_7028,refute_0_8414]) ).

cnf(refute_0_8416,plain,
    ( quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))) != product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) )],[refute_0_8413,refute_0_8415]) ).

cnf(refute_0_8417,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,c))),product(bigC(a,b,bigC(c,b,a)),product(bigC(c,b,a),a))) )],[refute_0_8400,refute_0_8416]) ).

cnf(refute_0_8418,plain,
    quotient(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),bigC(product(a,c),c,product(a,b))) = product(product(bigC(c,a,b),a),product(a,c)),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(bigC(c,a,b),a),product(a,c)))),bind(B,$fot(bigC(product(a,c),c,product(a,b))))]]) ).

cnf(refute_0_8419,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),bigC(c,a,b)))) = product(a,c),
    inference(subst,[],[sos07:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_8420,plain,
    ( product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),bigC(c,a,b)))) != product(a,c)
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),bigC(c,a,b)))),product(a,c)) ),[0,1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8421,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),bigC(c,a,b)))) != product(a,c)
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_3050,refute_0_8420]) ).

cnf(refute_0_8422,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),bigC(c,a,b)))),product(a,c)) )],[refute_0_8419,refute_0_8421]) ).

cnf(refute_0_8423,plain,
    product(product(X_63,X_64),product(product(product(a,c),X_42),product(a,product(b,c)))) = product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c)))),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(product(product(a,c),X_42))),bind(D,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_8424,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(product(a,c),X_42),product(a,product(b,c)))
    | product(product(product(a,c),X_42),product(a,product(b,c))) = bigC(product(a,c),X_42,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),X_42,product(a,b)))),bind(Y,$fot(product(product(product(a,c),X_42),product(a,product(b,c)))))]]) ).

cnf(refute_0_8425,plain,
    product(product(product(a,c),X_42),product(a,product(b,c))) = bigC(product(a,c),X_42,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_42,product(a,b)),product(product(product(a,c),X_42),product(a,product(b,c)))) )],[refute_0_369,refute_0_8424]) ).

cnf(refute_0_8426,plain,
    ( product(product(X_63,X_64),product(product(product(a,c),X_42),product(a,product(b,c)))) != product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))
    | product(product(product(a,c),X_42),product(a,product(b,c))) != bigC(product(a,c),X_42,product(a,b))
    | product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))) = product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(product(product(a,c),X_42),product(a,product(b,c)))),product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))) ),[0,1],$fot(bigC(product(a,c),X_42,product(a,b)))]]) ).

cnf(refute_0_8427,plain,
    ( product(product(X_63,X_64),product(product(product(a,c),X_42),product(a,product(b,c)))) != product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))
    | product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))) = product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_42),product(a,product(b,c))),bigC(product(a,c),X_42,product(a,b))) )],[refute_0_8425,refute_0_8426]) ).

cnf(refute_0_8428,plain,
    product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))) = product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(product(product(a,c),X_42),product(a,product(b,c)))),product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))) )],[refute_0_8423,refute_0_8427]) ).

cnf(refute_0_8429,plain,
    ( product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))) != product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))
    | product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c)))) = product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))))),bind(Y,$fot(product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))))]]) ).

cnf(refute_0_8430,plain,
    product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c)))) = product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),bigC(product(a,c),X_42,product(a,b))),product(product(X_63,product(product(a,c),X_42)),product(X_64,product(a,product(b,c))))) )],[refute_0_8428,refute_0_8429]) ).

cnf(refute_0_8431,plain,
    product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),
    inference(subst,[],[refute_0_8430:[bind(X_42,$fot(c)),bind(X_63,$fot(product(bigC(c,a,b),a))),bind(X_64,$fot(product(a,c)))]]) ).

cnf(refute_0_8432,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c)))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(a,c),product(a,product(b,c))))),bind(X_63,$fot(bigC(c,a,b))),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_8433,plain,
    ( product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b)))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c))))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))))),bind(Y,$fot(product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c)))))),bind(Z,$fot(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b)))))]]) ).

cnf(refute_0_8434,plain,
    ( product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b)))
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c))))) )],[refute_0_8432,refute_0_8433]) ).

cnf(refute_0_8435,plain,
    product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) = product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(product(a,c),c)),product(product(a,c),product(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b)))) )],[refute_0_8431,refute_0_8434]) ).

cnf(refute_0_8436,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) != product(a,c)
    | product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) != product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b)))
    | product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))),product(a,c)) ),[0],$fot(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))))]]) ).

cnf(refute_0_8437,plain,
    ( product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))) != product(a,c)
    | product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))),product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b)))) )],[refute_0_8435,refute_0_8436]) ).

cnf(refute_0_8438,plain,
    product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),product(a,c)),product(a,c)),product(product(a,c),product(a,product(b,c)))),product(a,c)) )],[refute_0_8422,refute_0_8437]) ).

cnf(refute_0_8439,plain,
    ( product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))) != product(a,c)
    | quotient(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),bigC(product(a,c),c,product(a,b))) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = product(product(bigC(c,a,b),a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),bigC(product(a,c),c,product(a,b))),product(product(bigC(c,a,b),a),product(a,c))) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_8440,plain,
    ( quotient(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),bigC(product(a,c),c,product(a,b))) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = product(product(bigC(c,a,b),a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),product(a,c)) )],[refute_0_8438,refute_0_8439]) ).

cnf(refute_0_8441,plain,
    quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = product(product(bigC(c,a,b),a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(bigC(c,a,b),a),product(a,c)),bigC(product(a,c),c,product(a,b))),bigC(product(a,c),c,product(a,b))),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_8418,refute_0_8440]) ).

cnf(refute_0_8442,plain,
    quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = quotient(product(a,c),bigC(product(a,c),c,product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(a,c),bigC(product(a,c),c,product(a,b))))]]) ).

cnf(refute_0_8443,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(a,product(b,c))
    | quotient(product(a,c),bigC(product(a,c),c,product(a,b))) != quotient(product(a,c),bigC(product(a,c),c,product(a,b)))
    | quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = quotient(product(a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),bigC(product(a,c),c,product(a,b))),quotient(product(a,c),bigC(product(a,c),c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8444,plain,
    ( bigC(product(a,c),c,product(a,b)) != product(a,product(b,c))
    | quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = quotient(product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),bigC(product(a,c),c,product(a,b))),quotient(product(a,c),bigC(product(a,c),c,product(a,b)))) )],[refute_0_8442,refute_0_8443]) ).

cnf(refute_0_8445,plain,
    quotient(product(a,c),bigC(product(a,c),c,product(a,b))) = quotient(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,b)),product(a,product(b,c))) )],[refute_0_427,refute_0_8444]) ).

cnf(refute_0_8446,plain,
    ( quotient(product(a,c),bigC(product(a,c),c,product(a,b))) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(a,c),bigC(product(a,c),c,product(a,b))) != quotient(product(a,c),product(a,product(b,c)))
    | quotient(product(a,c),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),bigC(product(a,c),c,product(a,b))),product(product(bigC(c,a,b),a),product(a,c))) ),[0],$fot(quotient(product(a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_8447,plain,
    ( quotient(product(a,c),bigC(product(a,c),c,product(a,b))) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(a,c),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),bigC(product(a,c),c,product(a,b))),quotient(product(a,c),product(a,product(b,c)))) )],[refute_0_8445,refute_0_8446]) ).

cnf(refute_0_8448,plain,
    quotient(product(a,c),product(a,product(b,c))) = product(product(bigC(c,a,b),a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),bigC(product(a,c),c,product(a,b))),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_8441,refute_0_8447]) ).

cnf(refute_0_8449,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != product(product(bigC(c,a,b),a),product(a,c))
    | product(product(bigC(c,a,b),a),product(a,c)) = quotient(product(a,c),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(a,c),product(a,product(b,c))))),bind(Y,$fot(product(product(bigC(c,a,b),a),product(a,c))))]]) ).

cnf(refute_0_8450,plain,
    product(product(bigC(c,a,b),a),product(a,c)) = quotient(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_8448,refute_0_8449]) ).

cnf(refute_0_8451,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))))]]) ).

cnf(refute_0_8452,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != quotient(product(a,c),product(a,product(b,c)))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))) ),[1,1],$fot(quotient(product(a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_8453,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != quotient(product(a,c),product(a,product(b,c)))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c)))) )],[refute_0_8451,refute_0_8452]) ).

cnf(refute_0_8454,plain,
    quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) = quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),quotient(product(a,c),product(a,product(b,c)))) )],[refute_0_8450,refute_0_8453]) ).

cnf(refute_0_8455,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c))))
    | quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),[0],$fot(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_8456,plain,
    ( quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c))))) )],[refute_0_8454,refute_0_8455]) ).

cnf(refute_0_8457,plain,
    quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),product(product(bigC(c,a,b),a),product(a,c))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_8417,refute_0_8456]) ).

cnf(refute_0_8458,plain,
    quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_8459,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) != quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c))))
    | quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c))))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_8460,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c))))) )],[refute_0_8458,refute_0_8459]) ).

cnf(refute_0_8461,plain,
    quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_8460]) ).

cnf(refute_0_8462,plain,
    ( quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) != quotient(product(c,a),quotient(product(a,c),product(a,product(b,c))))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),[0],$fot(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_8463,plain,
    ( quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),quotient(product(c,a),quotient(product(a,c),product(a,product(b,c))))) )],[refute_0_8461,refute_0_8462]) ).

cnf(refute_0_8464,plain,
    product(bigC(a,b,c),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(bigC(c,a,b),a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_8465,plain,
    ( product(bigC(a,b,c),product(bigC(c,a,b),a)) != product(bigC(a,b,c),product(bigC(c,a,b),a))
    | product(bigC(c,a,b),a) != product(c,a)
    | product(bigC(a,b,c),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),product(bigC(c,a,b),a)),product(bigC(a,b,c),product(bigC(c,a,b),a))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_8466,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(bigC(a,b,c),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(bigC(c,a,b),a)),product(bigC(a,b,c),product(bigC(c,a,b),a))) )],[refute_0_8464,refute_0_8465]) ).

cnf(refute_0_8467,plain,
    product(bigC(a,b,c),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_8466]) ).

cnf(refute_0_8468,plain,
    product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_8469,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),[1,0],$fot(bigC(a,b,c))]]) ).

cnf(refute_0_8470,plain,
    ( bigC(a,b,bigC(c,a,b)) != bigC(a,b,c)
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_8468,refute_0_8469]) ).

cnf(refute_0_8471,plain,
    product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,bigC(c,a,b)),bigC(a,b,c)) )],[refute_0_1298,refute_0_8470]) ).

cnf(refute_0_8472,plain,
    ( product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) != product(bigC(a,b,c),product(bigC(c,a,b),a))
    | product(bigC(a,b,c),product(bigC(c,a,b),a)) != product(bigC(a,b,c),product(c,a))
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)))),bind(Y,$fot(product(bigC(a,b,c),product(bigC(c,a,b),a)))),bind(Z,$fot(product(bigC(a,b,c),product(c,a))))]]) ).

cnf(refute_0_8473,plain,
    ( product(bigC(a,b,c),product(bigC(c,a,b),a)) != product(bigC(a,b,c),product(c,a))
    | product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(bigC(a,b,c),product(bigC(c,a,b),a))) )],[refute_0_8471,refute_0_8472]) ).

cnf(refute_0_8474,plain,
    product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) = product(bigC(a,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(bigC(c,a,b),a)),product(bigC(a,b,c),product(c,a))) )],[refute_0_8467,refute_0_8473]) ).

cnf(refute_0_8475,plain,
    ( product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) ),[1],$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_8476,plain,
    ( quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a)),product(bigC(a,b,c),product(c,a))) )],[refute_0_8474,refute_0_8475]) ).

cnf(refute_0_8477,plain,
    ( quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_8463,refute_0_8476]) ).

cnf(refute_0_8478,plain,
    quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = product(bigC(a,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,a,b),a),quotient(product(a,c),product(a,product(b,c)))),product(bigC(a,b,bigC(c,a,b)),product(bigC(c,a,b),a))) )],[refute_0_8457,refute_0_8477]) ).

cnf(refute_0_8479,plain,
    product(product(bigC(c,a,b),a),product(a,c)) = product(product(bigC(c,a,b),a),product(a,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),product(a,c)))]]) ).

cnf(refute_0_8480,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(a,c)) != product(product(bigC(c,a,b),a),product(a,c))
    | product(product(bigC(c,a,b),a),product(a,c)) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),product(product(bigC(c,a,b),a),product(a,c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_8481,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),product(a,c)) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_8479,refute_0_8480]) ).

cnf(refute_0_8482,plain,
    product(product(bigC(c,a,b),a),product(a,c)) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_8481]) ).

cnf(refute_0_8483,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != product(product(c,a),product(a,c))
    | product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(bigC(c,a,b),a),product(a,c)) = bigC(c,a,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),a),product(a,c)))),bind(Y,$fot(product(product(c,a),product(a,c)))),bind(Z,$fot(bigC(c,a,a)))]]) ).

cnf(refute_0_8484,plain,
    ( product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(bigC(c,a,b),a),product(a,c)) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),product(product(c,a),product(a,c))) )],[refute_0_8482,refute_0_8483]) ).

cnf(refute_0_8485,plain,
    product(product(bigC(c,a,b),a),product(a,c)) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(c,a,a)) )],[refute_0_7720,refute_0_8484]) ).

cnf(refute_0_8486,plain,
    ( product(product(bigC(c,a,b),a),product(a,c)) != bigC(c,a,a)
    | quotient(product(a,c),product(a,product(b,c))) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(a,c),product(a,product(b,c))) = bigC(c,a,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),product(product(bigC(c,a,b),a),product(a,c))) ),[1],$fot(bigC(c,a,a))]]) ).

cnf(refute_0_8487,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != product(product(bigC(c,a,b),a),product(a,c))
    | quotient(product(a,c),product(a,product(b,c))) = bigC(c,a,a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,c)),bigC(c,a,a)) )],[refute_0_8485,refute_0_8486]) ).

cnf(refute_0_8488,plain,
    quotient(product(a,c),product(a,product(b,c))) = bigC(c,a,a),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),product(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_8448,refute_0_8487]) ).

cnf(refute_0_8489,plain,
    quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_8490,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(c,a,a)
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) != quotient(product(c,a),quotient(product(a,c),product(a,product(b,c))))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),bigC(c,a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),quotient(product(c,a),quotient(product(a,c),product(a,product(b,c))))) ),[1,1],$fot(bigC(c,a,a))]]) ).

cnf(refute_0_8491,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(c,a,a)
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),bigC(c,a,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),quotient(product(c,a),quotient(product(a,c),product(a,product(b,c))))) )],[refute_0_8489,refute_0_8490]) ).

cnf(refute_0_8492,plain,
    quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) = quotient(product(c,a),bigC(c,a,a)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),bigC(c,a,a)) )],[refute_0_8488,refute_0_8491]) ).

cnf(refute_0_8493,plain,
    ( quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) != quotient(product(c,a),bigC(c,a,a))
    | quotient(product(c,a),bigC(c,a,a)) = product(bigC(a,b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),product(bigC(a,b,c),product(c,a))) ),[0],$fot(quotient(product(c,a),bigC(c,a,a)))]]) ).

cnf(refute_0_8494,plain,
    ( quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),bigC(c,a,a)) = product(bigC(a,b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),quotient(product(c,a),bigC(c,a,a))) )],[refute_0_8492,refute_0_8493]) ).

cnf(refute_0_8495,plain,
    quotient(product(c,a),bigC(c,a,a)) = product(bigC(a,b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),quotient(product(a,c),product(a,product(b,c)))),product(bigC(a,b,c),product(c,a))) )],[refute_0_8478,refute_0_8494]) ).

cnf(refute_0_8496,plain,
    product(bigC(a,b,c),product(c,a)) = product(bigC(a,b,c),product(c,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,c),product(c,a)))]]) ).

cnf(refute_0_8497,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),product(c,a)) != product(bigC(a,b,c),product(c,a))
    | product(bigC(a,b,c),product(c,a)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,c),product(c,a)),product(bigC(a,b,c),product(c,a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8498,plain,
    ( bigC(a,b,c) != c
    | product(bigC(a,b,c),product(c,a)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(c,a)),product(bigC(a,b,c),product(c,a))) )],[refute_0_8496,refute_0_8497]) ).

cnf(refute_0_8499,plain,
    product(bigC(a,b,c),product(c,a)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_8498]) ).

cnf(refute_0_8500,plain,
    ( product(bigC(a,b,c),product(c,a)) != product(c,product(c,a))
    | quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),bigC(c,a,a)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(bigC(a,b,c),product(c,a))) ),[1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_8501,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(bigC(a,b,c),product(c,a))
    | quotient(product(c,a),bigC(c,a,a)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(c,a)),product(c,product(c,a))) )],[refute_0_8499,refute_0_8500]) ).

cnf(refute_0_8502,plain,
    quotient(product(c,a),bigC(c,a,a)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(bigC(a,b,c),product(c,a))) )],[refute_0_8495,refute_0_8501]) ).

cnf(refute_0_8503,plain,
    quotient(product(c,a),bigC(c,a,a)) = quotient(product(c,a),bigC(c,a,a)),
    introduced(tautology,[refl,[$fot(quotient(product(c,a),bigC(c,a,a)))]]) ).

cnf(refute_0_8504,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | quotient(product(c,a),bigC(c,a,a)) != quotient(product(c,a),bigC(c,a,a))
    | quotient(product(c,a),bigC(c,a,a)) = quotient(product(c,a),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),quotient(product(c,a),bigC(c,a,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8505,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | quotient(product(c,a),bigC(c,a,a)) = quotient(product(c,a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),quotient(product(c,a),bigC(c,a,a))) )],[refute_0_8503,refute_0_8504]) ).

cnf(refute_0_8506,plain,
    quotient(product(c,a),bigC(c,a,a)) = quotient(product(c,a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_8213,refute_0_8505]) ).

cnf(refute_0_8507,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(c,product(c,a))
    | quotient(product(c,a),bigC(c,a,a)) != quotient(product(c,a),bigC(a,a,c))
    | quotient(product(c,a),bigC(a,a,c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(c,product(c,a))) ),[0],$fot(quotient(product(c,a),bigC(a,a,c)))]]) ).

cnf(refute_0_8508,plain,
    ( quotient(product(c,a),bigC(c,a,a)) != product(c,product(c,a))
    | quotient(product(c,a),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),quotient(product(c,a),bigC(a,a,c))) )],[refute_0_8506,refute_0_8507]) ).

cnf(refute_0_8509,plain,
    quotient(product(c,a),bigC(a,a,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(c,a,a)),product(c,product(c,a))) )],[refute_0_8502,refute_0_8508]) ).

cnf(refute_0_8510,plain,
    quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_8511,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(product(c,a),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_8512,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(product(c,a),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c))) )],[refute_0_8510,refute_0_8511]) ).

cnf(refute_0_8513,plain,
    quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = quotient(product(c,a),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(a,c)),product(c,a)) )],[refute_0_8233,refute_0_8512]) ).

cnf(refute_0_8514,plain,
    ( quotient(product(c,a),bigC(a,a,c)) != product(c,product(c,a))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != quotient(product(c,a),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)))),bind(Y,$fot(quotient(product(c,a),bigC(a,a,c)))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_8515,plain,
    ( quotient(product(c,a),bigC(a,a,c)) != product(c,product(c,a))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(product(c,a),bigC(a,a,c))) )],[refute_0_8513,refute_0_8514]) ).

cnf(refute_0_8516,plain,
    quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_8509,refute_0_8515]) ).

cnf(refute_0_8517,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != product(c,product(c,a))
    | quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != quotient(c,bigC(a,b,b))
    | product(c,product(c,a)) = quotient(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(c,bigC(a,b,b))) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_8518,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)) != quotient(c,bigC(a,b,b))
    | product(c,product(c,a)) = quotient(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),product(c,product(c,a))) )],[refute_0_8516,refute_0_8517]) ).

cnf(refute_0_8519,plain,
    product(c,product(c,a)) = quotient(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,c)),bigC(a,a,c)),quotient(c,bigC(a,b,b))) )],[refute_0_8393,refute_0_8518]) ).

cnf(refute_0_8520,plain,
    ( product(c,product(c,a)) != quotient(c,bigC(a,b,b))
    | quotient(c,bigC(a,b,b)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_8521,plain,
    quotient(c,bigC(a,b,b)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),quotient(c,bigC(a,b,b))) )],[refute_0_8519,refute_0_8520]) ).

cnf(refute_0_8522,plain,
    product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = product(bigC(a,a,c),quotient(c,bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_8523,plain,
    ( product(bigC(a,a,c),quotient(c,bigC(a,b,b))) != product(bigC(a,a,c),quotient(c,bigC(a,b,b)))
    | quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = product(bigC(a,a,c),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(a,b,b))),product(bigC(a,a,c),quotient(c,bigC(a,b,b)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_8524,plain,
    ( quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = product(bigC(a,a,c),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(a,b,b))),product(bigC(a,a,c),quotient(c,bigC(a,b,b)))) )],[refute_0_8522,refute_0_8523]) ).

cnf(refute_0_8525,plain,
    product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = product(bigC(a,a,c),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,b)),product(c,product(c,a))) )],[refute_0_8521,refute_0_8524]) ).

cnf(refute_0_8526,plain,
    ( product(bigC(a,a,c),product(c,product(c,a))) != bigC(a,a,b)
    | product(bigC(a,a,c),quotient(c,bigC(a,b,b))) != product(bigC(a,a,c),product(c,product(c,a)))
    | product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),quotient(c,bigC(a,b,b))))),bind(Y,$fot(product(bigC(a,a,c),product(c,product(c,a))))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8527,plain,
    ( product(bigC(a,a,c),product(c,product(c,a))) != bigC(a,a,b)
    | product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(a,b,b))),product(bigC(a,a,c),product(c,product(c,a)))) )],[refute_0_8525,refute_0_8526]) ).

cnf(refute_0_8528,plain,
    product(bigC(a,a,c),quotient(c,bigC(a,b,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(c,product(c,a))),bigC(a,a,b)) )],[refute_0_8383,refute_0_8527]) ).

cnf(refute_0_8529,plain,
    ( bigC(a,product(a,c),product(b,c)) != product(bigC(a,a,c),quotient(c,bigC(a,b,b)))
    | product(bigC(a,a,c),quotient(c,bigC(a,b,b))) != bigC(a,a,b)
    | bigC(a,product(a,c),product(b,c)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(a,c),product(b,c)),bigC(a,a,b)) ),[0],$fot(product(bigC(a,a,c),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_8530,plain,
    ( bigC(a,product(a,c),product(b,c)) != product(bigC(a,a,c),quotient(c,bigC(a,b,b)))
    | bigC(a,product(a,c),product(b,c)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),quotient(c,bigC(a,b,b))),bigC(a,a,b)) )],[refute_0_8528,refute_0_8529]) ).

cnf(refute_0_8531,plain,
    bigC(a,product(a,c),product(b,c)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(b,c)),product(bigC(a,a,c),quotient(c,bigC(a,b,b)))) )],[refute_0_8365,refute_0_8530]) ).

cnf(refute_0_8532,plain,
    product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_8533,plain,
    ( bigC(a,product(a,c),product(b,c)) != bigC(a,a,b)
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) != product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8534,plain,
    ( bigC(a,product(a,c),product(b,c)) != bigC(a,a,b)
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c))) )],[refute_0_8532,refute_0_8533]) ).

cnf(refute_0_8535,plain,
    product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) = product(bigC(a,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(b,c)),bigC(a,a,b)) )],[refute_0_8531,refute_0_8534]) ).

cnf(refute_0_8536,plain,
    ( product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) != product(bigC(a,a,b),bigC(a,a,c))
    | product(bigC(a,a,b),bigC(a,a,c)) = bigC(a,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),bigC(a,c,product(c,a))) ),[0],$fot(product(bigC(a,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_8537,plain,
    ( product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | product(bigC(a,a,b),bigC(a,a,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),product(bigC(a,a,b),bigC(a,a,c))) )],[refute_0_8535,refute_0_8536]) ).

cnf(refute_0_8538,plain,
    product(bigC(a,a,b),bigC(a,a,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(a,c),product(b,c)),bigC(a,a,c)),bigC(a,c,product(c,a))) )],[refute_0_8243,refute_0_8537]) ).

cnf(refute_0_8539,plain,
    product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_8540,plain,
    ( product(bigC(a,a,b),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) != product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c)))
    | product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_8541,plain,
    ( product(bigC(a,a,b),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c)))) )],[refute_0_8539,refute_0_8540]) ).

cnf(refute_0_8542,plain,
    product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,c)),bigC(a,c,product(c,a))) )],[refute_0_8538,refute_0_8541]) ).

cnf(refute_0_8543,plain,
    ( product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) != product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))
    | product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),product(c,bigC(a,a,c))) ),[0],$fot(product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_8544,plain,
    ( product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))) )],[refute_0_8542,refute_0_8543]) ).

cnf(refute_0_8545,plain,
    product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(bigC(a,a,b),bigC(a,a,c))),product(c,bigC(a,a,c))) )],[refute_0_7646,refute_0_8544]) ).

cnf(refute_0_8546,plain,
    product(bigC(a,a,b),difference(bigC(a,a,b),bigC(c,a,product(c,a)))) = bigC(c,a,product(c,a)),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_8547,plain,
    product(quotient(bigC(a,a,c),bigC(a,a,b)),bigC(a,a,b)) = bigC(a,a,c),
    inference(subst,[],[sos04:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8548,plain,
    quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)))),bigC(a,a,b)) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,a,b))),bind(X_29,$fot(quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_8549,plain,
    ( product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))) != product(c,product(c,a))
    | quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)))),bigC(a,a,b)),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) ),[0,0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_8550,plain,
    ( quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),product(c,product(c,a))) )],[refute_0_6932,refute_0_8549]) ).

cnf(refute_0_8551,plain,
    quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)))),bigC(a,a,b)),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) )],[refute_0_8548,refute_0_8550]) ).

cnf(refute_0_8552,plain,
    quotient(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(a,a,c),bigC(a,a,c)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(bigC(a,a,c))),bind(X_22,$fot(bigC(a,a,c))),bind(X_23,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_8553,plain,
    bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) = product(product(bigC(a,a,c),bigC(c,b,c)),bigC(a,a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,c))),bind(X_22,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_8554,plain,
    ( bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) != product(product(bigC(a,a,c),bigC(c,b,c)),bigC(a,a,c))
    | product(bigC(a,a,c),bigC(c,b,c)) != product(a,product(b,c))
    | bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)),product(product(bigC(a,a,c),bigC(c,b,c)),bigC(a,a,c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8555,plain,
    ( bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) != product(product(bigC(a,a,c),bigC(c,b,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(a,product(b,c))) )],[refute_0_416,refute_0_8554]) ).

cnf(refute_0_8556,plain,
    bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) = product(product(a,product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)),product(product(bigC(a,a,c),bigC(c,b,c)),bigC(a,a,c))) )],[refute_0_8553,refute_0_8555]) ).

cnf(refute_0_8557,plain,
    bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_8558,plain,
    ( bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) != bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c))
    | bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) != product(product(a,product(b,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)),product(product(a,product(b,c)),bigC(a,a,c))) ),[0],$fot(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)))]]) ).

cnf(refute_0_8559,plain,
    ( bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)) != product(product(a,product(b,c)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)),bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c))) )],[refute_0_8557,refute_0_8558]) ).

cnf(refute_0_8560,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(c,b,c),bigC(a,a,c)),product(product(a,product(b,c)),bigC(a,a,c))) )],[refute_0_8556,refute_0_8559]) ).

cnf(refute_0_8561,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)) != product(product(a,product(b,c)),bigC(a,a,c))
    | quotient(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(a,a,c),bigC(a,a,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(a,a,c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(a,a,c),bigC(a,a,c))) ),[0,0],$fot(product(product(a,product(b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_8562,plain,
    ( quotient(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(a,a,c),bigC(a,a,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(a,a,c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),product(product(a,product(b,c)),bigC(a,a,c))) )],[refute_0_8560,refute_0_8561]) ).

cnf(refute_0_8563,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(a,a,c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(a,a,c),bigC(a,a,c),bigC(c,b,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(a,a,c),bigC(a,a,c))) )],[refute_0_8552,refute_0_8562]) ).

cnf(refute_0_8564,plain,
    product(bigC(a,a,c),bigC(a,a,c)) = bigC(a,a,c),
    inference(subst,[],[sos06:[bind(A,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8565,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(a,a,c),bigC(a,a,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(a,a,c),bigC(a,a,c))) ),[1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8566,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(a,a,c),bigC(a,a,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,a,c)) )],[refute_0_8564,refute_0_8565]) ).

cnf(refute_0_8567,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(a,a,c),bigC(a,a,c))) )],[refute_0_8563,refute_0_8566]) ).

cnf(refute_0_8568,plain,
    product(bigC(c,b,c),bigC(a,a,c)) = product(bigC(c,b,c),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),bigC(a,a,c)))]]) ).

cnf(refute_0_8569,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(c,b,c),bigC(a,a,c))
    | product(bigC(c,b,c),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_8570,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) )],[refute_0_8568,refute_0_8569]) ).

cnf(refute_0_8571,plain,
    product(bigC(c,b,c),bigC(a,a,c)) = product(bigC(b,a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_8570]) ).

cnf(refute_0_8572,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_8573,plain,
    ( product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))) ),[1,1],$fot(product(bigC(b,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_8574,plain,
    ( product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_8572,refute_0_8573]) ).

cnf(refute_0_8575,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8571,refute_0_8574]) ).

cnf(refute_0_8576,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != bigC(a,a,c)
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),bigC(a,a,c)) ),[0],$fot(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_8577,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != bigC(a,a,c)
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_8575,refute_0_8576]) ).

cnf(refute_0_8578,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),bigC(a,a,c)) )],[refute_0_8567,refute_0_8577]) ).

cnf(refute_0_8579,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_8580,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))) ),[1,1],$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_8581,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_8579,refute_0_8580]) ).

cnf(refute_0_8582,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8345,refute_0_8581]) ).

cnf(refute_0_8583,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != bigC(a,a,c)
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b)))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),bigC(a,a,c)) ),[0],$fot(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_8584,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != bigC(a,a,c)
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b)))) )],[refute_0_8582,refute_0_8583]) ).

cnf(refute_0_8585,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),bigC(a,a,c)) )],[refute_0_8578,refute_0_8584]) ).

cnf(refute_0_8586,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_8587,plain,
    ( product(product(a,product(b,c)),bigC(a,a,c)) != bigC(a,product(a,c),product(b,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) != quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b)))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b)))) ),[1,0],$fot(bigC(a,product(a,c),product(b,c)))]]) ).

cnf(refute_0_8588,plain,
    ( product(product(a,product(b,c)),bigC(a,a,c)) != bigC(a,product(a,c),product(b,c))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b)))) )],[refute_0_8586,refute_0_8587]) ).

cnf(refute_0_8589,plain,
    quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,c)),bigC(a,product(a,c),product(b,c))) )],[refute_0_7701,refute_0_8588]) ).

cnf(refute_0_8590,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) != bigC(a,a,c)
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) != quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b)))
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),bigC(a,a,c)) ),[0],$fot(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_8591,plain,
    ( quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))) != bigC(a,a,c)
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b)))) )],[refute_0_8589,refute_0_8590]) ).

cnf(refute_0_8592,plain,
    quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),quotient(c,bigC(b,a,b))),bigC(a,a,c)) )],[refute_0_8585,refute_0_8591]) ).

cnf(refute_0_8593,plain,
    quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_8594,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) != quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b)))
    | quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b)))) ),[1,1],$fot(quotient(c,bigC(a,b,b)))]]) ).

cnf(refute_0_8595,plain,
    ( quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b)))) )],[refute_0_8593,refute_0_8594]) ).

cnf(refute_0_8596,plain,
    quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(a,b,b))) )],[refute_0_8358,refute_0_8595]) ).

cnf(refute_0_8597,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) != bigC(a,a,c)
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) != quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b)))
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),bigC(a,a,c)) ),[0],$fot(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_8598,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))) != bigC(a,a,c)
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b)))) )],[refute_0_8596,refute_0_8597]) ).

cnf(refute_0_8599,plain,
    quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(b,a,b))),bigC(a,a,c)) )],[refute_0_8592,refute_0_8598]) ).

cnf(refute_0_8600,plain,
    quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_8601,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) != quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b)))
    | quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_8602,plain,
    ( quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b)))) )],[refute_0_8600,refute_0_8601]) ).

cnf(refute_0_8603,plain,
    quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) = quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,b)),product(c,product(c,a))) )],[refute_0_8521,refute_0_8602]) ).

cnf(refute_0_8604,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) != bigC(a,a,c)
    | quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) != quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a)))
    | quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),bigC(a,a,c)) ),[0],$fot(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))))]]) ).

cnf(refute_0_8605,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))) != bigC(a,a,c)
    | quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a)))) )],[refute_0_8603,refute_0_8604]) ).

cnf(refute_0_8606,plain,
    quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),quotient(c,bigC(a,b,b))),bigC(a,a,c)) )],[refute_0_8599,refute_0_8605]) ).

cnf(refute_0_8607,plain,
    quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))))]]) ).

cnf(refute_0_8608,plain,
    ( bigC(a,product(a,c),product(b,c)) != bigC(a,a,b)
    | quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) != quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a)))
    | quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = quotient(bigC(a,a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8609,plain,
    ( bigC(a,product(a,c),product(b,c)) != bigC(a,a,b)
    | quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = quotient(bigC(a,a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a)))) )],[refute_0_8607,refute_0_8608]) ).

cnf(refute_0_8610,plain,
    quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) = quotient(bigC(a,a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,c),product(b,c)),bigC(a,a,b)) )],[refute_0_8531,refute_0_8609]) ).

cnf(refute_0_8611,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) != bigC(a,a,c)
    | quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) != quotient(bigC(a,a,b),product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(c,product(c,a))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),bigC(a,a,c)) ),[0],$fot(quotient(bigC(a,a,b),product(c,product(c,a))))]]) ).

cnf(refute_0_8612,plain,
    ( quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))) != bigC(a,a,c)
    | quotient(bigC(a,a,b),product(c,product(c,a))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),quotient(bigC(a,a,b),product(c,product(c,a)))) )],[refute_0_8610,refute_0_8611]) ).

cnf(refute_0_8613,plain,
    quotient(bigC(a,a,b),product(c,product(c,a))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,product(a,c),product(b,c)),product(c,product(c,a))),bigC(a,a,c)) )],[refute_0_8606,refute_0_8612]) ).

cnf(refute_0_8614,plain,
    quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)))]]) ).

cnf(refute_0_8615,plain,
    ( quotient(bigC(a,a,b),product(c,product(c,a))) != bigC(a,a,c)
    | quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) != quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b))
    | quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = quotient(bigC(a,a,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8616,plain,
    ( quotient(bigC(a,a,b),product(c,product(c,a))) != bigC(a,a,c)
    | quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = quotient(bigC(a,a,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b))) )],[refute_0_8614,refute_0_8615]) ).

cnf(refute_0_8617,plain,
    quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) = quotient(bigC(a,a,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,c)) )],[refute_0_8613,refute_0_8616]) ).

cnf(refute_0_8618,plain,
    ( quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) != quotient(bigC(a,a,c),bigC(a,a,b))
    | quotient(bigC(a,a,c),bigC(a,a,b)) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) ),[0],$fot(quotient(bigC(a,a,c),bigC(a,a,b)))]]) ).

cnf(refute_0_8619,plain,
    ( quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(bigC(a,a,c),bigC(a,a,b)) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)),quotient(bigC(a,a,c),bigC(a,a,b))) )],[refute_0_8617,refute_0_8618]) ).

cnf(refute_0_8620,plain,
    product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(c,a),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,a))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8621,plain,
    difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) = difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_8622,plain,
    ( difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(c,a)
    | difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_8623,plain,
    ( product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(c,a)
    | difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) )],[refute_0_8621,refute_0_8622]) ).

cnf(refute_0_8624,plain,
    difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(c,a)) )],[refute_0_8620,refute_0_8623]) ).

cnf(refute_0_8625,plain,
    ( difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))) != difference(bigC(a,a,b),product(c,a))
    | quotient(bigC(a,a,c),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(bigC(a,a,c),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),bigC(a,a,b)),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) ),[1],$fot(difference(bigC(a,a,b),product(c,a)))]]) ).

cnf(refute_0_8626,plain,
    ( quotient(bigC(a,a,c),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(bigC(a,a,c),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b))),difference(bigC(a,a,b),product(c,a))) )],[refute_0_8624,refute_0_8625]) ).

cnf(refute_0_8627,plain,
    ( quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)) != difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))
    | quotient(bigC(a,a,c),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),bigC(a,a,b)),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) )],[refute_0_8619,refute_0_8626]) ).

cnf(refute_0_8628,plain,
    quotient(bigC(a,a,c),bigC(a,a,b)) = difference(bigC(a,a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(c,product(c,a))),bigC(a,a,b)),difference(bigC(a,a,b),product(quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))) )],[refute_0_8551,refute_0_8627]) ).

cnf(refute_0_8629,plain,
    ( product(quotient(bigC(a,a,c),bigC(a,a,b)),bigC(a,a,b)) != bigC(a,a,c)
    | quotient(bigC(a,a,c),bigC(a,a,b)) != difference(bigC(a,a,b),product(c,a))
    | product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(bigC(a,a,c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,c)) ),[0,0],$fot(difference(bigC(a,a,b),product(c,a)))]]) ).

cnf(refute_0_8630,plain,
    ( product(quotient(bigC(a,a,c),bigC(a,a,b)),bigC(a,a,b)) != bigC(a,a,c)
    | product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),bigC(a,a,b)),difference(bigC(a,a,b),product(c,a))) )],[refute_0_8628,refute_0_8629]) ).

cnf(refute_0_8631,plain,
    product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(a,a,c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,c)) )],[refute_0_8547,refute_0_8630]) ).

cnf(refute_0_8632,plain,
    difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_8633,plain,
    ( difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b)))
    | product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(c,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))),difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(bigC(c,a,product(c,a)))]]) ).

cnf(refute_0_8634,plain,
    ( product(product(c,a),bigC(a,a,b)) != bigC(c,a,product(c,a))
    | difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))),difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b)))) )],[refute_0_8632,refute_0_8633]) ).

cnf(refute_0_8635,plain,
    difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(a,a,b)),bigC(c,a,product(c,a))) )],[refute_0_6592,refute_0_8634]) ).

cnf(refute_0_8636,plain,
    product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(c,a))),bind(X_74,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_8637,plain,
    ( difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) != difference(bigC(a,a,b),bigC(c,a,product(c,a)))
    | product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b)))
    | product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = difference(bigC(a,a,b),bigC(c,a,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)))),bind(Y,$fot(difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))))),bind(Z,$fot(difference(bigC(a,a,b),bigC(c,a,product(c,a)))))]]) ).

cnf(refute_0_8638,plain,
    ( difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))) != difference(bigC(a,a,b),bigC(c,a,product(c,a)))
    | product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = difference(bigC(a,a,b),bigC(c,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)),difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b)))) )],[refute_0_8636,refute_0_8637]) ).

cnf(refute_0_8639,plain,
    product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) = difference(bigC(a,a,b),bigC(c,a,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(c,a),bigC(a,a,b))),difference(bigC(a,a,b),bigC(c,a,product(c,a)))) )],[refute_0_8635,refute_0_8638]) ).

cnf(refute_0_8640,plain,
    ( product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) != bigC(a,a,c)
    | product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) != difference(bigC(a,a,b),bigC(c,a,product(c,a)))
    | difference(bigC(a,a,b),bigC(c,a,product(c,a))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)),bigC(a,a,c)) ),[0],$fot(difference(bigC(a,a,b),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_8641,plain,
    ( product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)) != bigC(a,a,c)
    | difference(bigC(a,a,b),bigC(c,a,product(c,a))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)),difference(bigC(a,a,b),bigC(c,a,product(c,a)))) )],[refute_0_8639,refute_0_8640]) ).

cnf(refute_0_8642,plain,
    difference(bigC(a,a,b),bigC(c,a,product(c,a))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,b),product(c,a)),bigC(a,a,b)),bigC(a,a,c)) )],[refute_0_8631,refute_0_8641]) ).

cnf(refute_0_8643,plain,
    ( difference(bigC(a,a,b),bigC(c,a,product(c,a))) != bigC(a,a,c)
    | product(bigC(a,a,b),difference(bigC(a,a,b),bigC(c,a,product(c,a)))) != bigC(c,a,product(c,a))
    | product(bigC(a,a,b),bigC(a,a,c)) = bigC(c,a,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),bigC(c,a,product(c,a)))),bigC(c,a,product(c,a))) ),[0,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8644,plain,
    ( product(bigC(a,a,b),difference(bigC(a,a,b),bigC(c,a,product(c,a)))) != bigC(c,a,product(c,a))
    | product(bigC(a,a,b),bigC(a,a,c)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(c,a,product(c,a))),bigC(a,a,c)) )],[refute_0_8642,refute_0_8643]) ).

cnf(refute_0_8645,plain,
    product(bigC(a,a,b),bigC(a,a,c)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),bigC(c,a,product(c,a)))),bigC(c,a,product(c,a))) )],[refute_0_8546,refute_0_8644]) ).

cnf(refute_0_8646,plain,
    ( product(bigC(a,a,b),bigC(a,a,c)) != bigC(a,c,product(c,a))
    | product(bigC(a,a,b),bigC(a,a,c)) != bigC(c,a,product(c,a))
    | bigC(a,c,product(c,a)) = bigC(c,a,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,c)),bigC(c,a,product(c,a))) ),[0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_8647,plain,
    ( product(bigC(a,a,b),bigC(a,a,c)) != bigC(c,a,product(c,a))
    | bigC(a,c,product(c,a)) = bigC(c,a,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,c)),bigC(a,c,product(c,a))) )],[refute_0_8538,refute_0_8646]) ).

cnf(refute_0_8648,plain,
    bigC(a,c,product(c,a)) = bigC(c,a,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,c)),bigC(c,a,product(c,a))) )],[refute_0_8645,refute_0_8647]) ).

cnf(refute_0_8649,plain,
    ( bigC(a,c,product(c,a)) != bigC(c,a,product(c,a))
    | bigC(c,a,product(c,a)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,c,product(c,a)))),bind(Y,$fot(bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_8650,plain,
    bigC(c,a,product(c,a)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(c,a,product(c,a))) )],[refute_0_8648,refute_0_8649]) ).

cnf(refute_0_8651,plain,
    product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))))]]) ).

cnf(refute_0_8652,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))) ),[1,1],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_8653,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a)))) )],[refute_0_8651,refute_0_8652]) ).

cnf(refute_0_8654,plain,
    product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_8650,refute_0_8653]) ).

cnf(refute_0_8655,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))))),bind(Y,$fot(product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_8656,plain,
    ( product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))) != product(c,bigC(a,a,c))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a)))) )],[refute_0_8654,refute_0_8655]) ).

cnf(refute_0_8657,plain,
    product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(a,c,product(c,a))),product(c,bigC(a,a,c))) )],[refute_0_8545,refute_0_8656]) ).

cnf(refute_0_8658,plain,
    ( product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != bigC(c,product(c,a),product(c,a))
    | product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != product(c,bigC(a,a,c))
    | product(c,bigC(a,a,c)) = bigC(c,product(c,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),bigC(c,product(c,a),product(c,a))) ),[0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_8659,plain,
    ( product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))) != bigC(c,product(c,a),product(c,a))
    | product(c,bigC(a,a,c)) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),product(c,bigC(a,a,c))) )],[refute_0_8657,refute_0_8658]) ).

cnf(refute_0_8660,plain,
    product(c,bigC(a,a,c)) = bigC(c,product(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,a,product(c,a))),bigC(c,product(c,a),product(c,a))) )],[refute_0_6992,refute_0_8659]) ).

cnf(refute_0_8661,plain,
    ( product(c,bigC(a,a,c)) != bigC(c,product(c,a),product(c,a))
    | bigC(c,product(c,a),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,a,c)))),bind(Y,$fot(bigC(c,product(c,a),product(c,a))))]]) ).

cnf(refute_0_8662,plain,
    bigC(c,product(c,a),product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,c)),bigC(c,product(c,a),product(c,a))) )],[refute_0_8660,refute_0_8661]) ).

cnf(refute_0_8663,plain,
    difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)))]]) ).

cnf(refute_0_8664,plain,
    ( bigC(c,product(c,a),product(c,a)) != product(c,bigC(a,a,c))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) != difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b))) ),[1,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_8665,plain,
    ( bigC(c,product(c,a),product(c,a)) != product(c,bigC(a,a,c))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b))) )],[refute_0_8663,refute_0_8664]) ).

cnf(refute_0_8666,plain,
    difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_8662,refute_0_8665]) ).

cnf(refute_0_8667,plain,
    ( difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) != difference(product(c,bigC(a,a,c)),bigC(a,a,b))
    | difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) != product(bigC(a,a,b),c)
    | difference(product(c,bigC(a,a,c)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),product(bigC(a,a,b),c)) ),[0],$fot(difference(product(c,bigC(a,a,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_8668,plain,
    ( difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)) != product(bigC(a,a,b),c)
    | difference(product(c,bigC(a,a,c)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),difference(product(c,bigC(a,a,c)),bigC(a,a,b))) )],[refute_0_8666,refute_0_8667]) ).

cnf(refute_0_8669,plain,
    difference(product(c,bigC(a,a,c)),bigC(a,a,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,a),product(c,a)),bigC(a,a,b)),product(bigC(a,a,b),c)) )],[refute_0_6907,refute_0_8668]) ).

cnf(refute_0_8670,plain,
    difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))))]]) ).

cnf(refute_0_8671,plain,
    ( difference(product(b,product(a,c)),product(c,product(c,a))) != bigC(a,a,b)
    | difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) != difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a))))
    | difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8672,plain,
    ( difference(product(b,product(a,c)),product(c,product(c,a))) != bigC(a,a,b)
    | difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a))))) )],[refute_0_8670,refute_0_8671]) ).

cnf(refute_0_8673,plain,
    difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(c,product(c,a))),bigC(a,a,b)) )],[refute_0_6876,refute_0_8672]) ).

cnf(refute_0_8674,plain,
    ( bigC(c,product(c,a),product(c,a)) != product(c,bigC(a,a,c))
    | product(product(c,product(c,a)),bigC(a,a,b)) != bigC(c,product(c,a),product(c,a))
    | product(product(c,product(c,a)),bigC(a,a,b)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),bigC(a,a,b)))),bind(Y,$fot(bigC(c,product(c,a),product(c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_8675,plain,
    ( bigC(c,product(c,a),product(c,a)) != product(c,bigC(a,a,c))
    | product(product(c,product(c,a)),bigC(a,a,b)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,b)),bigC(c,product(c,a),product(c,a))) )],[refute_0_6884,refute_0_8674]) ).

cnf(refute_0_8676,plain,
    product(product(c,product(c,a)),bigC(a,a,b)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_8662,refute_0_8675]) ).

cnf(refute_0_8677,plain,
    product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))))]]) ).

cnf(refute_0_8678,plain,
    ( difference(product(b,product(a,c)),product(c,product(c,a))) != bigC(a,a,b)
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a))))
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(product(c,product(c,a)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a))))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_8679,plain,
    ( difference(product(b,product(a,c)),product(c,product(c,a))) != bigC(a,a,b)
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(product(c,product(c,a)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a))))) )],[refute_0_8677,refute_0_8678]) ).

cnf(refute_0_8680,plain,
    product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(product(c,product(c,a)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(c,product(c,a))),bigC(a,a,b)) )],[refute_0_6876,refute_0_8679]) ).

cnf(refute_0_8681,plain,
    ( product(product(c,product(c,a)),bigC(a,a,b)) != product(c,bigC(a,a,c))
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(product(c,product(c,a)),bigC(a,a,b))
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))))),bind(Y,$fot(product(product(c,product(c,a)),bigC(a,a,b)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_8682,plain,
    ( product(product(c,product(c,a)),bigC(a,a,b)) != product(c,bigC(a,a,c))
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),product(product(c,product(c,a)),bigC(a,a,b))) )],[refute_0_8680,refute_0_8681]) ).

cnf(refute_0_8683,plain,
    product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,b)),product(c,bigC(a,a,c))) )],[refute_0_8676,refute_0_8682]) ).

cnf(refute_0_8684,plain,
    difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))))]]) ).

cnf(refute_0_8685,plain,
    ( difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a))))
    | product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(c,bigC(a,a,c))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a))))) ),[1,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_8686,plain,
    ( product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(c,bigC(a,a,c))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a))))) )],[refute_0_8684,refute_0_8685]) ).

cnf(refute_0_8687,plain,
    difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),product(c,bigC(a,a,c))) )],[refute_0_8683,refute_0_8686]) ).

cnf(refute_0_8688,plain,
    ( difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) != difference(product(c,bigC(a,a,c)),bigC(a,a,b))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a))))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))))),bind(Y,$fot(difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))))),bind(Z,$fot(difference(product(c,bigC(a,a,c)),bigC(a,a,b))))]]) ).

cnf(refute_0_8689,plain,
    ( difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))) != difference(product(c,bigC(a,a,c)),bigC(a,a,b))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a))))) )],[refute_0_8687,refute_0_8688]) ).

cnf(refute_0_8690,plain,
    difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = difference(product(c,bigC(a,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,c)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(c,bigC(a,a,c)),bigC(a,a,b))) )],[refute_0_8673,refute_0_8689]) ).

cnf(refute_0_8691,plain,
    ( difference(product(c,bigC(a,a,c)),bigC(a,a,b)) != product(bigC(a,a,b),c)
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != difference(product(c,bigC(a,a,c)),bigC(a,a,b))
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))))),bind(Y,$fot(difference(product(c,bigC(a,a,c)),bigC(a,a,b)))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_8692,plain,
    ( difference(product(c,bigC(a,a,c)),bigC(a,a,b)) != product(bigC(a,a,b),c)
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(c,bigC(a,a,c)),bigC(a,a,b))) )],[refute_0_8690,refute_0_8691]) ).

cnf(refute_0_8693,plain,
    difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,c)),bigC(a,a,b)),product(bigC(a,a,b),c)) )],[refute_0_8669,refute_0_8692]) ).

cnf(refute_0_8694,plain,
    ( difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(bigC(a,a,b),c)
    | difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) ),[0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_8695,plain,
    ( difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),product(bigC(a,a,b),c)) )],[refute_0_8693,refute_0_8694]) ).

cnf(refute_0_8696,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(product(c,a),product(a,c)) != bigC(c,a,a)
    | product(product(c,a),product(a,c)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(a,c)))),bind(Y,$fot(bigC(c,a,a))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8697,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(product(c,a),product(a,c)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(c,a,a)) )],[refute_0_7720,refute_0_8696]) ).

cnf(refute_0_8698,plain,
    product(product(c,a),product(a,c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_8213,refute_0_8697]) ).

cnf(refute_0_8699,plain,
    product(product(c,b),product(product(c,a),product(a,c))) = product(product(c,b),product(product(c,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,a),product(a,c))))]]) ).

cnf(refute_0_8700,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | product(product(c,b),product(product(c,a),product(a,c))) != product(product(c,b),product(product(c,a),product(a,c)))
    | product(product(c,b),product(product(c,a),product(a,c))) = product(product(c,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,a),product(a,c))),product(product(c,b),product(product(c,a),product(a,c)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_8701,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | product(product(c,b),product(product(c,a),product(a,c))) = product(product(c,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,a),product(a,c))),product(product(c,b),product(product(c,a),product(a,c)))) )],[refute_0_8699,refute_0_8700]) ).

cnf(refute_0_8702,plain,
    product(product(c,b),product(product(c,a),product(a,c))) = product(product(c,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(a,a,c)) )],[refute_0_8698,refute_0_8701]) ).

cnf(refute_0_8703,plain,
    difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))),
    introduced(tautology,[refl,[$fot(difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))))]]) ).

cnf(refute_0_8704,plain,
    ( difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) != difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c))))
    | product(product(c,b),product(product(c,a),product(a,c))) != product(product(c,b),bigC(a,a,c))
    | difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))),difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c))))) ),[1,1],$fot(product(product(c,b),bigC(a,a,c)))]]) ).

cnf(refute_0_8705,plain,
    ( product(product(c,b),product(product(c,a),product(a,c))) != product(product(c,b),bigC(a,a,c))
    | difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))),difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c))))) )],[refute_0_8703,refute_0_8704]) ).

cnf(refute_0_8706,plain,
    difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,a),product(a,c))),product(product(c,b),bigC(a,a,c))) )],[refute_0_8702,refute_0_8705]) ).

cnf(refute_0_8707,plain,
    difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))),
    inference(subst,[],[refute_0_3844:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(c,a))),bind(D,$fot(product(a,c)))]]) ).

cnf(refute_0_8708,plain,
    ( difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) != difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))
    | difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) != difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c))))
    | difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))),bind(Y,$fot(difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))))),bind(Z,$fot(difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_8709,plain,
    ( difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))) != difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))
    | difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))),difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c))))) )],[refute_0_8707,refute_0_8708]) ).

cnf(refute_0_8710,plain,
    difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,b),product(product(c,a),product(a,c)))),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) )],[refute_0_8706,refute_0_8709]) ).

cnf(refute_0_8711,plain,
    product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))))]]) ).

cnf(refute_0_8712,plain,
    ( difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) != difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) ),[1,1],$fot(difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_8713,plain,
    ( difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))) != difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) )],[refute_0_8711,refute_0_8712]) ).

cnf(refute_0_8714,plain,
    product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) )],[refute_0_8710,refute_0_8713]) ).

cnf(refute_0_8715,plain,
    ( product(bigC(a,a,b),c) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),c),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))) ),[0],$fot(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))))]]) ).

cnf(refute_0_8716,plain,
    ( product(bigC(a,a,b),c) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c))))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))) )],[refute_0_8714,refute_0_8715]) ).

cnf(refute_0_8717,plain,
    ( difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) )],[refute_0_8695,refute_0_8716]) ).

cnf(refute_0_8718,plain,
    product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,a)),difference(product(b,product(a,c)),product(c,product(c,a)))),difference(product(b,product(a,c)),product(c,product(c,a)))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,product(c,a)),product(b,product(a,c)))))) )],[refute_0_6879,refute_0_8717]) ).

cnf(refute_0_8719,plain,
    product(product(c,a),difference(product(c,a),bigC(a,b,product(b,a)))) = bigC(a,b,product(b,a)),
    inference(subst,[],[sos02:[bind(A,$fot(product(c,a))),bind(B,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_8720,plain,
    difference(b,product(b,difference(product(c,a),bigC(a,b,product(b,a))))) = difference(product(c,a),bigC(a,b,product(b,a))),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(difference(product(c,a),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_8721,plain,
    difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),difference(product(c,a),product(c,product(c,b)))) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(c,product(c,b)))),bind(X_32,$fot(product(c,a)))]]) ).

cnf(refute_0_8722,plain,
    difference(product(c,a),product(product(c,a),b)) = b,
    inference(subst,[],[sos01:[bind(A,$fot(product(c,a))),bind(B,$fot(b))]]) ).

cnf(refute_0_8723,plain,
    ( difference(product(c,a),product(product(c,a),b)) != b
    | product(product(c,a),b) != product(c,product(c,b))
    | difference(product(c,a),product(c,product(c,b))) = b ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(product(c,a),b)),b) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8724,plain,
    ( difference(product(c,a),product(product(c,a),b)) != b
    | difference(product(c,a),product(c,product(c,b))) = b ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_8723]) ).

cnf(refute_0_8725,plain,
    difference(product(c,a),product(c,product(c,b))) = b,
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,a),b)),b) )],[refute_0_8722,refute_0_8724]) ).

cnf(refute_0_8726,plain,
    ( difference(product(c,a),product(c,product(c,b))) != b
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),difference(product(c,a),product(c,product(c,b)))) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),difference(product(c,a),product(c,product(c,b)))),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_8727,plain,
    ( difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),difference(product(c,a),product(c,product(c,b)))) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(c,b))),b) )],[refute_0_8725,refute_0_8726]) ).

cnf(refute_0_8728,plain,
    difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),difference(product(c,a),product(c,product(c,b)))),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) )],[refute_0_8721,refute_0_8727]) ).

cnf(refute_0_8729,plain,
    difference(product(product(product(c,a),b),b),b) = product(b,product(b,product(c,a))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(c,a))),bind(X_16,$fot(b))]]) ).

cnf(refute_0_8730,plain,
    ( difference(product(product(product(c,a),b),b),b) != product(b,product(b,product(c,a)))
    | product(product(c,a),b) != product(c,product(c,b))
    | difference(product(product(c,product(c,b)),b),b) = product(b,product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),b),b),product(b,product(b,product(c,a)))) ),[0,0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8731,plain,
    ( difference(product(product(product(c,a),b),b),b) != product(b,product(b,product(c,a)))
    | difference(product(product(c,product(c,b)),b),b) = product(b,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_8730]) ).

cnf(refute_0_8732,plain,
    difference(product(product(c,product(c,b)),b),b) = product(b,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),b),b),product(b,product(b,product(c,a)))) )],[refute_0_8729,refute_0_8731]) ).

cnf(refute_0_8733,plain,
    product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) = product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))))]]) ).

cnf(refute_0_8734,plain,
    ( difference(product(c,a),product(c,product(c,b))) != b
    | product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) != product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b))))
    | product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) = product(product(c,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b))))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_8735,plain,
    ( difference(product(c,a),product(c,product(c,b))) != b
    | product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b))))) )],[refute_0_8733,refute_0_8734]) ).

cnf(refute_0_8736,plain,
    product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(c,b))),b) )],[refute_0_8725,refute_0_8735]) ).

cnf(refute_0_8737,plain,
    difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b))]]) ).

cnf(refute_0_8738,plain,
    ( difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) != difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b)
    | product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) != product(product(c,product(c,b)),b)
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = difference(product(product(c,product(c,b)),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b)) ),[1,0],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_8739,plain,
    ( product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))) != product(product(c,product(c,b)),b)
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = difference(product(product(c,product(c,b)),b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b)) )],[refute_0_8737,refute_0_8738]) ).

cnf(refute_0_8740,plain,
    difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = difference(product(product(c,product(c,b)),b),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),product(product(c,product(c,b)),b)) )],[refute_0_8736,refute_0_8739]) ).

cnf(refute_0_8741,plain,
    ( difference(product(product(c,product(c,b)),b),b) != product(b,product(b,product(c,a)))
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) != difference(product(product(c,product(c,b)),b),b)
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = product(b,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b))),bind(Y,$fot(difference(product(product(c,product(c,b)),b),b))),bind(Z,$fot(product(b,product(b,product(c,a)))))]]) ).

cnf(refute_0_8742,plain,
    ( difference(product(product(c,product(c,b)),b),b) != product(b,product(b,product(c,a)))
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = product(b,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),difference(product(product(c,product(c,b)),b),b)) )],[refute_0_8740,refute_0_8741]) ).

cnf(refute_0_8743,plain,
    difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) = product(b,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),b),product(b,product(b,product(c,a)))) )],[refute_0_8732,refute_0_8742]) ).

cnf(refute_0_8744,plain,
    ( difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) != product(b,product(b,product(c,a)))
    | difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(b,product(b,product(c,a))) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) ),[0],$fot(product(b,product(b,product(c,a))))]]) ).

cnf(refute_0_8745,plain,
    ( difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(b,product(b,product(c,a))) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),product(b,product(b,product(c,a)))) )],[refute_0_8743,refute_0_8744]) ).

cnf(refute_0_8746,plain,
    product(c,product(product(c,b),a)) = product(c,product(product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,b),a)))]]) ).

cnf(refute_0_8747,plain,
    ( product(c,product(product(c,b),a)) != product(c,product(product(c,b),a))
    | product(product(c,b),a) != product(c,product(c,a))
    | product(c,product(product(c,b),a)) = product(c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,b),a)),product(c,product(product(c,b),a))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_8748,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(c,product(product(c,b),a)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),product(c,product(product(c,b),a))) )],[refute_0_8746,refute_0_8747]) ).

cnf(refute_0_8749,plain,
    product(c,product(product(c,b),a)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_8748]) ).

cnf(refute_0_8750,plain,
    ( product(c,product(product(c,b),a)) != product(c,product(c,product(c,a)))
    | product(product(c,c),product(product(c,b),a)) != product(c,product(product(c,b),a))
    | product(product(c,c),product(product(c,b),a)) = product(c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(c,b),a)))),bind(Y,$fot(product(c,product(product(c,b),a)))),bind(Z,$fot(product(c,product(c,product(c,a)))))]]) ).

cnf(refute_0_8751,plain,
    ( product(c,product(product(c,b),a)) != product(c,product(c,product(c,a)))
    | product(product(c,c),product(product(c,b),a)) = product(c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),a)),product(c,product(product(c,b),a))) )],[refute_0_5068,refute_0_8750]) ).

cnf(refute_0_8752,plain,
    product(product(c,c),product(product(c,b),a)) = product(c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),product(c,product(c,product(c,a)))) )],[refute_0_8749,refute_0_8751]) ).

cnf(refute_0_8753,plain,
    ( product(c,product(c,product(c,a))) != bigC(a,b,product(b,a))
    | product(product(c,c),product(product(c,b),a)) != product(c,product(c,product(c,a)))
    | product(product(c,c),product(product(c,b),a)) = bigC(a,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(c,b),a)))),bind(Y,$fot(product(c,product(c,product(c,a))))),bind(Z,$fot(bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_8754,plain,
    ( product(c,product(c,product(c,a))) != bigC(a,b,product(b,a))
    | product(product(c,c),product(product(c,b),a)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),a)),product(c,product(c,product(c,a)))) )],[refute_0_8752,refute_0_8753]) ).

cnf(refute_0_8755,plain,
    product(product(c,c),product(product(c,b),a)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,a))),bigC(a,b,product(b,a))) )],[refute_0_5975,refute_0_8754]) ).

cnf(refute_0_8756,plain,
    difference(product(c,a),product(product(c,c),product(product(c,b),a))) = difference(product(c,a),product(product(c,c),product(product(c,b),a))),
    introduced(tautology,[refl,[$fot(difference(product(c,a),product(product(c,c),product(product(c,b),a))))]]) ).

cnf(refute_0_8757,plain,
    ( difference(product(c,a),product(product(c,c),product(product(c,b),a))) != difference(product(c,a),product(product(c,c),product(product(c,b),a)))
    | product(product(c,c),product(product(c,b),a)) != bigC(a,b,product(b,a))
    | difference(product(c,a),product(product(c,c),product(product(c,b),a))) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(product(c,c),product(product(c,b),a))),difference(product(c,a),product(product(c,c),product(product(c,b),a)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_8758,plain,
    ( product(product(c,c),product(product(c,b),a)) != bigC(a,b,product(b,a))
    | difference(product(c,a),product(product(c,c),product(product(c,b),a))) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,c),product(product(c,b),a))),difference(product(c,a),product(product(c,c),product(product(c,b),a)))) )],[refute_0_8756,refute_0_8757]) ).

cnf(refute_0_8759,plain,
    difference(product(c,a),product(product(c,c),product(product(c,b),a))) = difference(product(c,a),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,b),a)),bigC(a,b,product(b,a))) )],[refute_0_8755,refute_0_8758]) ).

cnf(refute_0_8760,plain,
    difference(product(c,a),product(product(c,product(c,b)),product(c,a))) = difference(product(c,a),product(product(c,c),product(product(c,b),a))),
    inference(subst,[],[refute_0_3844:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(D,$fot(a))]]) ).

cnf(refute_0_8761,plain,
    ( difference(product(c,a),product(product(c,c),product(product(c,b),a))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | difference(product(c,a),product(product(c,product(c,b)),product(c,a))) != difference(product(c,a),product(product(c,c),product(product(c,b),a)))
    | difference(product(c,a),product(product(c,product(c,b)),product(c,a))) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,a),product(product(c,product(c,b)),product(c,a))))),bind(Y,$fot(difference(product(c,a),product(product(c,c),product(product(c,b),a))))),bind(Z,$fot(difference(product(c,a),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_8762,plain,
    ( difference(product(c,a),product(product(c,c),product(product(c,b),a))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | difference(product(c,a),product(product(c,product(c,b)),product(c,a))) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,product(c,b)),product(c,a))),difference(product(c,a),product(product(c,c),product(product(c,b),a)))) )],[refute_0_8760,refute_0_8761]) ).

cnf(refute_0_8763,plain,
    difference(product(c,a),product(product(c,product(c,b)),product(c,a))) = difference(product(c,a),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,c),product(product(c,b),a))),difference(product(c,a),bigC(a,b,product(b,a)))) )],[refute_0_8759,refute_0_8762]) ).

cnf(refute_0_8764,plain,
    product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),
    introduced(tautology,[refl,[$fot(product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))))]]) ).

cnf(refute_0_8765,plain,
    ( difference(product(c,a),product(product(c,product(c,b)),product(c,a))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) != product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) ),[1,1],$fot(difference(product(c,a),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_8766,plain,
    ( difference(product(c,a),product(product(c,product(c,b)),product(c,a))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) )],[refute_0_8764,refute_0_8765]) ).

cnf(refute_0_8767,plain,
    product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,product(c,b)),product(c,a))),difference(product(c,a),bigC(a,b,product(b,a)))) )],[refute_0_8763,refute_0_8766]) ).

cnf(refute_0_8768,plain,
    product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),
    introduced(tautology,[refl,[$fot(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))))]]) ).

cnf(refute_0_8769,plain,
    ( difference(product(c,a),product(c,product(c,b))) != b
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_8770,plain,
    ( difference(product(c,a),product(c,product(c,b))) != b
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) )],[refute_0_8768,refute_0_8769]) ).

cnf(refute_0_8771,plain,
    product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(c,b))),b) )],[refute_0_8725,refute_0_8770]) ).

cnf(refute_0_8772,plain,
    ( product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) != product(b,difference(product(c,a),bigC(a,b,product(b,a))))
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) != product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))))),bind(Y,$fot(product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))))),bind(Z,$fot(product(b,difference(product(c,a),bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_8773,plain,
    ( product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) != product(b,difference(product(c,a),bigC(a,b,product(b,a))))
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) )],[refute_0_8771,refute_0_8772]) ).

cnf(refute_0_8774,plain,
    product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(b,difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(b,difference(product(c,a),bigC(a,b,product(b,a))))) )],[refute_0_8767,refute_0_8773]) ).

cnf(refute_0_8775,plain,
    ( product(b,product(b,product(c,a))) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))) != product(b,difference(product(c,a),bigC(a,b,product(b,a))))
    | product(b,product(b,product(c,a))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(b,product(c,a))),product(b,difference(product(c,a),bigC(a,b,product(b,a))))) ),[0],$fot(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))))]]) ).

cnf(refute_0_8776,plain,
    ( product(b,product(b,product(c,a))) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(b,product(b,product(c,a))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a)))),product(b,difference(product(c,a),bigC(a,b,product(b,a))))) )],[refute_0_8774,refute_0_8775]) ).

cnf(refute_0_8777,plain,
    ( difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b) != product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))
    | product(b,product(b,product(c,a))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(b,product(b,product(c,a))),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) )],[refute_0_8745,refute_0_8776]) ).

cnf(refute_0_8778,plain,
    product(b,product(b,product(c,a))) = product(b,difference(product(c,a),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(c,a),product(c,product(c,b)))),b),product(difference(product(c,a),product(c,product(c,b))),difference(product(c,a),product(product(c,product(c,b)),product(c,a))))) )],[refute_0_8728,refute_0_8777]) ).

cnf(refute_0_8779,plain,
    ( product(b,product(b,product(c,a))) != product(b,difference(product(c,a),bigC(a,b,product(b,a))))
    | product(b,difference(product(c,a),bigC(a,b,product(b,a)))) = product(b,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(b,product(c,a))))),bind(Y,$fot(product(b,difference(product(c,a),bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_8780,plain,
    product(b,difference(product(c,a),bigC(a,b,product(b,a)))) = product(b,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(b,product(b,product(c,a))),product(b,difference(product(c,a),bigC(a,b,product(b,a))))) )],[refute_0_8778,refute_0_8779]) ).

cnf(refute_0_8781,plain,
    ( difference(b,product(b,difference(product(c,a),bigC(a,b,product(b,a))))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | product(b,difference(product(c,a),bigC(a,b,product(b,a)))) != product(b,product(b,product(c,a)))
    | difference(b,product(b,product(b,product(c,a)))) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,difference(product(c,a),bigC(a,b,product(b,a))))),difference(product(c,a),bigC(a,b,product(b,a)))) ),[0,1],$fot(product(b,product(b,product(c,a))))]]) ).

cnf(refute_0_8782,plain,
    ( difference(b,product(b,difference(product(c,a),bigC(a,b,product(b,a))))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | difference(b,product(b,product(b,product(c,a)))) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(b,difference(product(c,a),bigC(a,b,product(b,a)))),product(b,product(b,product(c,a)))) )],[refute_0_8780,refute_0_8781]) ).

cnf(refute_0_8783,plain,
    difference(b,product(b,product(b,product(c,a)))) = difference(product(c,a),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(b,product(b,difference(product(c,a),bigC(a,b,product(b,a))))),difference(product(c,a),bigC(a,b,product(b,a)))) )],[refute_0_8720,refute_0_8782]) ).

cnf(refute_0_8784,plain,
    difference(b,product(b,product(b,product(c,a)))) = product(b,product(c,a)),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_8785,plain,
    ( difference(b,product(b,product(b,product(c,a)))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | difference(b,product(b,product(b,product(c,a)))) != product(b,product(c,a))
    | product(b,product(c,a)) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(b,product(c,a)))),difference(product(c,a),bigC(a,b,product(b,a)))) ),[0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_8786,plain,
    ( difference(b,product(b,product(b,product(c,a)))) != difference(product(c,a),bigC(a,b,product(b,a)))
    | product(b,product(c,a)) = difference(product(c,a),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(b,product(c,a)))),product(b,product(c,a))) )],[refute_0_8784,refute_0_8785]) ).

cnf(refute_0_8787,plain,
    product(b,product(c,a)) = difference(product(c,a),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(b,product(c,a)))),difference(product(c,a),bigC(a,b,product(b,a)))) )],[refute_0_8783,refute_0_8786]) ).

cnf(refute_0_8788,plain,
    ( product(b,product(c,a)) != difference(product(c,a),bigC(a,b,product(b,a)))
    | difference(product(c,a),bigC(a,b,product(b,a))) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(c,a)))),bind(Y,$fot(difference(product(c,a),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_8789,plain,
    difference(product(c,a),bigC(a,b,product(b,a))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,product(c,a)),difference(product(c,a),bigC(a,b,product(b,a)))) )],[refute_0_8787,refute_0_8788]) ).

cnf(refute_0_8790,plain,
    ( difference(product(c,a),bigC(a,b,product(b,a))) != product(b,product(c,a))
    | product(product(c,a),difference(product(c,a),bigC(a,b,product(b,a)))) != bigC(a,b,product(b,a))
    | product(product(c,a),product(b,product(c,a))) = bigC(a,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),difference(product(c,a),bigC(a,b,product(b,a)))),bigC(a,b,product(b,a))) ),[0,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_8791,plain,
    ( product(product(c,a),difference(product(c,a),bigC(a,b,product(b,a)))) != bigC(a,b,product(b,a))
    | product(product(c,a),product(b,product(c,a))) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,b,product(b,a))),product(b,product(c,a))) )],[refute_0_8789,refute_0_8790]) ).

cnf(refute_0_8792,plain,
    product(product(c,a),product(b,product(c,a))) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(c,a),bigC(a,b,product(b,a)))),bigC(a,b,product(b,a))) )],[refute_0_8719,refute_0_8791]) ).

cnf(refute_0_8793,plain,
    product(product(c,a),product(b,product(c,a))) = product(product(c,b),bigC(a,a,c)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_8794,plain,
    ( product(product(c,a),product(b,product(c,a))) != bigC(a,b,product(b,a))
    | product(product(c,a),product(b,product(c,a))) != product(product(c,b),bigC(a,a,c))
    | product(product(c,b),bigC(a,a,c)) = bigC(a,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(b,product(c,a))),bigC(a,b,product(b,a))) ),[0],$fot(product(product(c,b),bigC(a,a,c)))]]) ).

cnf(refute_0_8795,plain,
    ( product(product(c,a),product(b,product(c,a))) != bigC(a,b,product(b,a))
    | product(product(c,b),bigC(a,a,c)) = bigC(a,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,product(c,a))),product(product(c,b),bigC(a,a,c))) )],[refute_0_8793,refute_0_8794]) ).

cnf(refute_0_8796,plain,
    product(product(c,b),bigC(a,a,c)) = bigC(a,b,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,product(c,a))),bigC(a,b,product(b,a))) )],[refute_0_8792,refute_0_8795]) ).

cnf(refute_0_8797,plain,
    difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) = difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))]]) ).

cnf(refute_0_8798,plain,
    ( difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) != difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))
    | product(product(c,b),bigC(a,a,c)) != bigC(a,b,product(b,a))
    | difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_8799,plain,
    ( product(product(c,b),bigC(a,a,c)) != bigC(a,b,product(b,a))
    | difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) )],[refute_0_8797,refute_0_8798]) ).

cnf(refute_0_8800,plain,
    difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,a,c)),bigC(a,b,product(b,a))) )],[refute_0_8796,refute_0_8799]) ).

cnf(refute_0_8801,plain,
    product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_8802,plain,
    ( difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))) ),[1,1],$fot(difference(product(b,product(a,c)),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_8803,plain,
    ( difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))) != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))) )],[refute_0_8801,refute_0_8802]) ).

cnf(refute_0_8804,plain,
    product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) = product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) )],[refute_0_8800,refute_0_8803]) ).

cnf(refute_0_8805,plain,
    ( product(bigC(a,a,b),c) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))) != product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),c),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))) ),[0],$fot(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_8806,plain,
    ( product(bigC(a,a,b),c) != product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))
    | product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c)))),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))) )],[refute_0_8804,refute_0_8805]) ).

cnf(refute_0_8807,plain,
    product(bigC(a,a,b),c) = product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),product(bigC(a,a,b),difference(product(b,product(a,c)),product(product(c,b),bigC(a,a,c))))) )],[refute_0_8718,refute_0_8806]) ).

cnf(refute_0_8808,plain,
    ( product(bigC(a,a,b),c) != product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,b),c))),bind(Y,$fot(product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))))]]) ).

cnf(refute_0_8809,plain,
    product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))) )],[refute_0_8807,refute_0_8808]) ).

cnf(refute_0_8810,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))) != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) != product(bigC(a,a,b),c)
    | difference(bigC(a,a,b),product(bigC(a,a,b),c)) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) ),[0,1],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_8811,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))) != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | difference(bigC(a,a,b),product(bigC(a,a,b),c)) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))),product(bigC(a,a,b),c)) )],[refute_0_8809,refute_0_8810]) ).

cnf(refute_0_8812,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),c)) = difference(product(b,product(a,c)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),difference(product(b,product(a,c)),bigC(a,b,product(b,a))))),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) )],[refute_0_6308,refute_0_8811]) ).

cnf(refute_0_8813,plain,
    difference(bigC(a,a,b),product(bigC(a,a,b),c)) = c,
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_8814,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),c)) != c
    | difference(bigC(a,a,b),product(bigC(a,a,b),c)) != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | c = difference(product(b,product(a,c)),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),c)),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) ),[0],$fot(c)]]) ).

cnf(refute_0_8815,plain,
    ( difference(bigC(a,a,b),product(bigC(a,a,b),c)) != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | c = difference(product(b,product(a,c)),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),c)),c) )],[refute_0_8813,refute_0_8814]) ).

cnf(refute_0_8816,plain,
    c = difference(product(b,product(a,c)),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(bigC(a,a,b),c)),difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) )],[refute_0_8812,refute_0_8815]) ).

cnf(refute_0_8817,plain,
    ( c != difference(product(b,product(a,c)),bigC(a,b,product(b,a)))
    | difference(product(b,product(a,c)),bigC(a,b,product(b,a))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(difference(product(b,product(a,c)),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_8818,plain,
    difference(product(b,product(a,c)),bigC(a,b,product(b,a))) = c,
    inference(resolve,[$cnf( $equal(c,difference(product(b,product(a,c)),bigC(a,b,product(b,a)))) )],[refute_0_8816,refute_0_8817]) ).

cnf(refute_0_8819,plain,
    ( bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != product(product(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22),bigC(a,b,product(b,a)))
    | difference(product(b,product(a,c)),bigC(a,b,product(b,a))) != c
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(c,X_22),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),product(product(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22),bigC(a,b,product(b,a)))) ),[1,0,0],$fot(c)]]) ).

cnf(refute_0_8820,plain,
    ( bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != product(product(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22),bigC(a,b,product(b,a)))
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(c,X_22),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),c) )],[refute_0_8818,refute_0_8819]) ).

cnf(refute_0_8821,plain,
    bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(c,X_22),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),product(product(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22),bigC(a,b,product(b,a)))) )],[refute_0_6307,refute_0_8820]) ).

cnf(refute_0_8822,plain,
    bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),product(c,product(b,a)),X_23) = product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(bigC(b,a,b),c))),bind(X_22,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_8823,plain,
    quotient(product(c,product(c,product(b,a))),product(c,product(b,a))) = c,
    inference(subst,[],[sos03:[bind(A,$fot(c)),bind(B,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_8824,plain,
    ( product(c,product(c,product(b,a))) != bigC(product(c,a),b,c)
    | quotient(product(c,product(c,product(b,a))),product(c,product(b,a))) != c
    | quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,product(b,a))),product(c,product(b,a))),c) ),[0,0],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_8825,plain,
    ( quotient(product(c,product(c,product(b,a))),product(c,product(b,a))) != c
    | quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(b,a))),bigC(product(c,a),b,c)) )],[refute_0_1523,refute_0_8824]) ).

cnf(refute_0_8826,plain,
    quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,product(b,a))),product(c,product(b,a))),c) )],[refute_0_8823,refute_0_8825]) ).

cnf(refute_0_8827,plain,
    quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = quotient(bigC(product(c,a),b,c),product(c,product(b,a))),
    introduced(tautology,[refl,[$fot(quotient(bigC(product(c,a),b,c),product(c,product(b,a))))]]) ).

cnf(refute_0_8828,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | quotient(bigC(product(c,a),b,c),product(c,product(b,a))) != quotient(bigC(product(c,a),b,c),product(c,product(b,a)))
    | quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,a),b,c),product(c,product(b,a))),quotient(bigC(product(c,a),b,c),product(c,product(b,a)))) ),[1,0],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_8829,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),b,c),product(c,product(b,a))),quotient(bigC(product(c,a),b,c),product(c,product(b,a)))) )],[refute_0_8827,refute_0_8828]) ).

cnf(refute_0_8830,plain,
    quotient(bigC(product(c,a),b,c),product(c,product(b,a))) = quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_8829]) ).

cnf(refute_0_8831,plain,
    ( quotient(bigC(product(c,a),b,c),product(c,product(b,a))) != c
    | quotient(bigC(product(c,a),b,c),product(c,product(b,a))) != quotient(bigC(a,b,product(b,c)),product(c,product(b,a)))
    | quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,a),b,c),product(c,product(b,a))),c) ),[0],$fot(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))))]]) ).

cnf(refute_0_8832,plain,
    ( quotient(bigC(product(c,a),b,c),product(c,product(b,a))) != c
    | quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = c ),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),b,c),product(c,product(b,a))),quotient(bigC(a,b,product(b,c)),product(c,product(b,a)))) )],[refute_0_8830,refute_0_8831]) ).

cnf(refute_0_8833,plain,
    quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = c,
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,a),b,c),product(c,product(b,a))),c) )],[refute_0_8826,refute_0_8832]) ).

cnf(refute_0_8834,plain,
    quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))))]]) ).

cnf(refute_0_8835,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) != quotient(bigC(a,b,product(b,c)),product(c,product(b,a)))
    | quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = quotient(product(bigC(b,a,b),c),product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),quotient(bigC(a,b,product(b,c)),product(c,product(b,a)))) ),[1,0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_8836,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = quotient(product(bigC(b,a,b),c),product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),quotient(bigC(a,b,product(b,c)),product(c,product(b,a)))) )],[refute_0_8834,refute_0_8835]) ).

cnf(refute_0_8837,plain,
    quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) = quotient(product(bigC(b,a,b),c),product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_1889,refute_0_8836]) ).

cnf(refute_0_8838,plain,
    ( quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) != c
    | quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) != quotient(product(bigC(b,a,b),c),product(c,product(b,a)))
    | quotient(product(bigC(b,a,b),c),product(c,product(b,a))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),c) ),[0],$fot(quotient(product(bigC(b,a,b),c),product(c,product(b,a))))]]) ).

cnf(refute_0_8839,plain,
    ( quotient(bigC(a,b,product(b,c)),product(c,product(b,a))) != c
    | quotient(product(bigC(b,a,b),c),product(c,product(b,a))) = c ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),quotient(product(bigC(b,a,b),c),product(c,product(b,a)))) )],[refute_0_8837,refute_0_8838]) ).

cnf(refute_0_8840,plain,
    quotient(product(bigC(b,a,b),c),product(c,product(b,a))) = c,
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(b,c)),product(c,product(b,a))),c) )],[refute_0_8833,refute_0_8839]) ).

cnf(refute_0_8841,plain,
    ( bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),product(c,product(b,a)),X_23) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | quotient(product(bigC(b,a,b),c),product(c,product(b,a))) != c
    | bigC(c,product(c,product(b,a)),X_23) = product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),product(c,product(b,a)),X_23),product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_8842,plain,
    ( bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),product(c,product(b,a)),X_23) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | bigC(c,product(c,product(b,a)),X_23) = product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),c) )],[refute_0_8840,refute_0_8841]) ).

cnf(refute_0_8843,plain,
    bigC(c,product(c,product(b,a)),X_23) = product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),product(c,product(b,a)),X_23),product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))) )],[refute_0_8822,refute_0_8842]) ).

cnf(refute_0_8844,plain,
    bigC(c,product(c,product(b,a)),C) = product(product(c,product(c,product(b,a))),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_8845,plain,
    ( bigC(c,product(c,product(b,a)),C) != product(product(c,product(c,product(b,a))),product(C,c))
    | product(c,product(c,product(b,a))) != bigC(product(c,a),b,c)
    | bigC(c,product(c,product(b,a)),C) = product(bigC(product(c,a),b,c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(b,a)),C),product(product(c,product(c,product(b,a))),product(C,c))) ),[1,0],$fot(bigC(product(c,a),b,c))]]) ).

cnf(refute_0_8846,plain,
    ( bigC(c,product(c,product(b,a)),C) != product(product(c,product(c,product(b,a))),product(C,c))
    | bigC(c,product(c,product(b,a)),C) = product(bigC(product(c,a),b,c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(b,a))),bigC(product(c,a),b,c)) )],[refute_0_1523,refute_0_8845]) ).

cnf(refute_0_8847,plain,
    bigC(c,product(c,product(b,a)),C) = product(bigC(product(c,a),b,c),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(b,a)),C),product(product(c,product(c,product(b,a))),product(C,c))) )],[refute_0_8844,refute_0_8846]) ).

cnf(refute_0_8848,plain,
    product(bigC(product(c,a),b,c),product(C,c)) = product(bigC(product(c,a),b,c),product(C,c)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,a),b,c),product(C,c)))]]) ).

cnf(refute_0_8849,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | product(bigC(product(c,a),b,c),product(C,c)) != product(bigC(product(c,a),b,c),product(C,c))
    | product(bigC(product(c,a),b,c),product(C,c)) = product(bigC(a,b,product(b,c)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,a),b,c),product(C,c)),product(bigC(product(c,a),b,c),product(C,c))) ),[1,0],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_8850,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | product(bigC(product(c,a),b,c),product(C,c)) = product(bigC(a,b,product(b,c)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),b,c),product(C,c)),product(bigC(product(c,a),b,c),product(C,c))) )],[refute_0_8848,refute_0_8849]) ).

cnf(refute_0_8851,plain,
    product(bigC(product(c,a),b,c),product(C,c)) = product(bigC(a,b,product(b,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_8850]) ).

cnf(refute_0_8852,plain,
    ( bigC(c,product(c,product(b,a)),C) != product(bigC(product(c,a),b,c),product(C,c))
    | product(bigC(product(c,a),b,c),product(C,c)) != product(bigC(a,b,product(b,c)),product(C,c))
    | bigC(c,product(c,product(b,a)),C) = product(bigC(a,b,product(b,c)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,product(b,a)),C),product(bigC(a,b,product(b,c)),product(C,c))) ),[0],$fot(product(bigC(product(c,a),b,c),product(C,c)))]]) ).

cnf(refute_0_8853,plain,
    ( bigC(c,product(c,product(b,a)),C) != product(bigC(product(c,a),b,c),product(C,c))
    | bigC(c,product(c,product(b,a)),C) = product(bigC(a,b,product(b,c)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,a),b,c),product(C,c)),product(bigC(a,b,product(b,c)),product(C,c))) )],[refute_0_8851,refute_0_8852]) ).

cnf(refute_0_8854,plain,
    bigC(c,product(c,product(b,a)),C) = product(bigC(a,b,product(b,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(b,a)),C),product(bigC(product(c,a),b,c),product(C,c))) )],[refute_0_8847,refute_0_8853]) ).

cnf(refute_0_8855,plain,
    product(product(bigC(b,a,b),c),product(C,c)) = product(product(bigC(b,a,b),C),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(b,a,b))),bind(X_64,$fot(C)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_8856,plain,
    product(bigC(a,b,product(b,c)),product(C,c)) = product(bigC(a,b,product(b,c)),product(C,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(b,c)),product(C,c)))]]) ).

cnf(refute_0_8857,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | product(bigC(a,b,product(b,c)),product(C,c)) != product(bigC(a,b,product(b,c)),product(C,c))
    | product(bigC(a,b,product(b,c)),product(C,c)) = product(product(bigC(b,a,b),c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(b,c)),product(C,c)),product(bigC(a,b,product(b,c)),product(C,c))) ),[1,0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_8858,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | product(bigC(a,b,product(b,c)),product(C,c)) = product(product(bigC(b,a,b),c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,c)),product(C,c)),product(bigC(a,b,product(b,c)),product(C,c))) )],[refute_0_8856,refute_0_8857]) ).

cnf(refute_0_8859,plain,
    product(bigC(a,b,product(b,c)),product(C,c)) = product(product(bigC(b,a,b),c),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_1889,refute_0_8858]) ).

cnf(refute_0_8860,plain,
    ( product(bigC(a,b,product(b,c)),product(C,c)) != product(product(bigC(b,a,b),c),product(C,c))
    | product(product(bigC(b,a,b),c),product(C,c)) != product(product(bigC(b,a,b),C),c)
    | product(bigC(a,b,product(b,c)),product(C,c)) = product(product(bigC(b,a,b),C),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(b,c)),product(C,c)))),bind(Y,$fot(product(product(bigC(b,a,b),c),product(C,c)))),bind(Z,$fot(product(product(bigC(b,a,b),C),c)))]]) ).

cnf(refute_0_8861,plain,
    ( product(product(bigC(b,a,b),c),product(C,c)) != product(product(bigC(b,a,b),C),c)
    | product(bigC(a,b,product(b,c)),product(C,c)) = product(product(bigC(b,a,b),C),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,c)),product(C,c)),product(product(bigC(b,a,b),c),product(C,c))) )],[refute_0_8859,refute_0_8860]) ).

cnf(refute_0_8862,plain,
    product(bigC(a,b,product(b,c)),product(C,c)) = product(product(bigC(b,a,b),C),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),c),product(C,c)),product(product(bigC(b,a,b),C),c)) )],[refute_0_8855,refute_0_8861]) ).

cnf(refute_0_8863,plain,
    ( bigC(c,product(c,product(b,a)),C) != product(bigC(a,b,product(b,c)),product(C,c))
    | product(bigC(a,b,product(b,c)),product(C,c)) != product(product(bigC(b,a,b),C),c)
    | bigC(c,product(c,product(b,a)),C) = product(product(bigC(b,a,b),C),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,product(b,a)),C),product(product(bigC(b,a,b),C),c)) ),[0],$fot(product(bigC(a,b,product(b,c)),product(C,c)))]]) ).

cnf(refute_0_8864,plain,
    ( bigC(c,product(c,product(b,a)),C) != product(bigC(a,b,product(b,c)),product(C,c))
    | bigC(c,product(c,product(b,a)),C) = product(product(bigC(b,a,b),C),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,c)),product(C,c)),product(product(bigC(b,a,b),C),c)) )],[refute_0_8862,refute_0_8863]) ).

cnf(refute_0_8865,plain,
    bigC(c,product(c,product(b,a)),C) = product(product(bigC(b,a,b),C),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(b,a)),C),product(bigC(a,b,product(b,c)),product(C,c))) )],[refute_0_8854,refute_0_8864]) ).

cnf(refute_0_8866,plain,
    bigC(c,product(c,product(b,a)),X_23) = product(product(bigC(b,a,b),X_23),c),
    inference(subst,[],[refute_0_8865:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_8867,plain,
    ( bigC(c,product(c,product(b,a)),X_23) != product(product(bigC(b,a,b),X_23),c)
    | bigC(c,product(c,product(b,a)),X_23) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | product(product(bigC(b,a,b),X_23),c) = product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,product(b,a)),X_23),product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))) ),[0],$fot(product(product(bigC(b,a,b),X_23),c))]]) ).

cnf(refute_0_8868,plain,
    ( bigC(c,product(c,product(b,a)),X_23) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | product(product(bigC(b,a,b),X_23),c) = product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(b,a)),X_23),product(product(bigC(b,a,b),X_23),c)) )],[refute_0_8866,refute_0_8867]) ).

cnf(refute_0_8869,plain,
    bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) = bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))))]]) ).

cnf(refute_0_8870,plain,
    ( bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) != bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a)))
    | quotient(product(bigC(b,a,b),c),product(c,product(b,a))) != c
    | bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) = bigC(c,X_23,product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))),bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8871,plain,
    ( quotient(product(bigC(b,a,b),c),product(c,product(b,a))) != c
    | bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) = bigC(c,X_23,product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))),bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a)))) )],[refute_0_8869,refute_0_8870]) ).

cnf(refute_0_8872,plain,
    bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) = bigC(c,X_23,product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),c) )],[refute_0_8840,refute_0_8871]) ).

cnf(refute_0_8873,plain,
    product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) = bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(bigC(b,a,b),c))),bind(X_22,$fot(product(c,product(b,a))))]]) ).

cnf(refute_0_8874,plain,
    ( bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) != bigC(c,X_23,product(c,product(b,a)))
    | product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) != bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a)))
    | product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) = bigC(c,X_23,product(c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))))),bind(Y,$fot(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))))),bind(Z,$fot(bigC(c,X_23,product(c,product(b,a)))))]]) ).

cnf(refute_0_8875,plain,
    ( bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))) != bigC(c,X_23,product(c,product(b,a)))
    | product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) = bigC(c,X_23,product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))),bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a)))) )],[refute_0_8873,refute_0_8874]) ).

cnf(refute_0_8876,plain,
    product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) = bigC(c,X_23,product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(b,a,b),c),product(c,product(b,a))),X_23,product(c,product(b,a))),bigC(c,X_23,product(c,product(b,a)))) )],[refute_0_8872,refute_0_8875]) ).

cnf(refute_0_8877,plain,
    ( product(product(bigC(b,a,b),X_23),c) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))) != bigC(c,X_23,product(c,product(b,a)))
    | product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(b,a,b),X_23),c),bigC(c,X_23,product(c,product(b,a)))) ),[0],$fot(product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))))]]) ).

cnf(refute_0_8878,plain,
    ( product(product(bigC(b,a,b),X_23),c) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a))))),bigC(c,X_23,product(c,product(b,a)))) )],[refute_0_8876,refute_0_8877]) ).

cnf(refute_0_8879,plain,
    ( bigC(c,product(c,product(b,a)),X_23) != product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))
    | product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))) )],[refute_0_8868,refute_0_8878]) ).

cnf(refute_0_8880,plain,
    product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(b,a)),X_23),product(product(bigC(b,a,b),c),product(X_23,quotient(product(bigC(b,a,b),c),product(c,product(b,a)))))) )],[refute_0_8843,refute_0_8879]) ).

cnf(refute_0_8881,plain,
    bigC(c,X_23,product(c,product(b,a))) = bigC(c,X_23,product(c,product(b,a))),
    introduced(tautology,[refl,[$fot(bigC(c,X_23,product(c,product(b,a))))]]) ).

cnf(refute_0_8882,plain,
    ( bigC(c,X_23,product(c,product(b,a))) != bigC(c,X_23,product(c,product(b,a)))
    | product(c,product(b,a)) != product(b,product(a,c))
    | bigC(c,X_23,product(c,product(b,a))) = bigC(c,X_23,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_23,product(c,product(b,a))),bigC(c,X_23,product(c,product(b,a)))) ),[1,2],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_8883,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | bigC(c,X_23,product(c,product(b,a))) = bigC(c,X_23,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(c,product(b,a))),bigC(c,X_23,product(c,product(b,a)))) )],[refute_0_8881,refute_0_8882]) ).

cnf(refute_0_8884,plain,
    bigC(c,X_23,product(c,product(b,a))) = bigC(c,X_23,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_8883]) ).

cnf(refute_0_8885,plain,
    ( bigC(c,X_23,product(c,product(b,a))) != bigC(c,X_23,product(b,product(a,c)))
    | product(product(bigC(b,a,b),X_23),c) != bigC(c,X_23,product(c,product(b,a)))
    | product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),bigC(c,X_23,product(c,product(b,a)))) ),[1],$fot(bigC(c,X_23,product(b,product(a,c))))]]) ).

cnf(refute_0_8886,plain,
    ( product(product(bigC(b,a,b),X_23),c) != bigC(c,X_23,product(c,product(b,a)))
    | product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(c,product(b,a))),bigC(c,X_23,product(b,product(a,c)))) )],[refute_0_8884,refute_0_8885]) ).

cnf(refute_0_8887,plain,
    product(product(bigC(b,a,b),X_23),c) = bigC(c,X_23,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),bigC(c,X_23,product(c,product(b,a)))) )],[refute_0_8880,refute_0_8886]) ).

cnf(refute_0_8888,plain,
    product(bigC(b,a,b),X_23) = product(bigC(b,a,b),X_23),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),X_23))]]) ).

cnf(refute_0_8889,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),X_23) != product(bigC(b,a,b),X_23)
    | product(bigC(b,a,b),X_23) = product(bigC(a,b,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),X_23),product(bigC(b,a,b),X_23)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_8890,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),X_23) = product(bigC(a,b,b),X_23) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),X_23),product(bigC(b,a,b),X_23)) )],[refute_0_8888,refute_0_8889]) ).

cnf(refute_0_8891,plain,
    product(bigC(b,a,b),X_23) = product(bigC(a,b,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_8890]) ).

cnf(refute_0_8892,plain,
    product(product(bigC(b,a,b),X_23),c) = product(product(bigC(b,a,b),X_23),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),X_23),c))]]) ).

cnf(refute_0_8893,plain,
    ( product(bigC(b,a,b),X_23) != product(bigC(a,b,b),X_23)
    | product(product(bigC(b,a,b),X_23),c) != product(product(bigC(b,a,b),X_23),c)
    | product(product(bigC(b,a,b),X_23),c) = product(product(bigC(a,b,b),X_23),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),product(product(bigC(b,a,b),X_23),c)) ),[1,0],$fot(product(bigC(a,b,b),X_23))]]) ).

cnf(refute_0_8894,plain,
    ( product(bigC(b,a,b),X_23) != product(bigC(a,b,b),X_23)
    | product(product(bigC(b,a,b),X_23),c) = product(product(bigC(a,b,b),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),product(product(bigC(b,a,b),X_23),c)) )],[refute_0_8892,refute_0_8893]) ).

cnf(refute_0_8895,plain,
    product(product(bigC(b,a,b),X_23),c) = product(product(bigC(a,b,b),X_23),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),X_23),product(bigC(a,b,b),X_23)) )],[refute_0_8891,refute_0_8894]) ).

cnf(refute_0_8896,plain,
    ( product(product(bigC(b,a,b),X_23),c) != bigC(c,X_23,product(b,product(a,c)))
    | product(product(bigC(b,a,b),X_23),c) != product(product(bigC(a,b,b),X_23),c)
    | product(product(bigC(a,b,b),X_23),c) = bigC(c,X_23,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),bigC(c,X_23,product(b,product(a,c)))) ),[0],$fot(product(product(bigC(a,b,b),X_23),c))]]) ).

cnf(refute_0_8897,plain,
    ( product(product(bigC(b,a,b),X_23),c) != bigC(c,X_23,product(b,product(a,c)))
    | product(product(bigC(a,b,b),X_23),c) = bigC(c,X_23,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),product(product(bigC(a,b,b),X_23),c)) )],[refute_0_8895,refute_0_8896]) ).

cnf(refute_0_8898,plain,
    product(product(bigC(a,b,b),X_23),c) = bigC(c,X_23,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_23),c),bigC(c,X_23,product(b,product(a,c)))) )],[refute_0_8887,refute_0_8897]) ).

cnf(refute_0_8899,plain,
    ( product(product(bigC(a,b,b),X_23),c) != bigC(c,X_23,product(b,product(a,c)))
    | bigC(c,X_23,product(b,product(a,c))) = product(product(bigC(a,b,b),X_23),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,b,b),X_23),c))),bind(Y,$fot(bigC(c,X_23,product(b,product(a,c)))))]]) ).

cnf(refute_0_8900,plain,
    bigC(c,X_23,product(b,product(a,c))) = product(product(bigC(a,b,b),X_23),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_23),c),bigC(c,X_23,product(b,product(a,c)))) )],[refute_0_8898,refute_0_8899]) ).

cnf(refute_0_8901,plain,
    bigC(c,X_22,product(b,product(a,c))) = product(product(bigC(a,b,b),X_22),c),
    inference(subst,[],[refute_0_8900:[bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_8902,plain,
    bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))))]]) ).

cnf(refute_0_8903,plain,
    ( bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c)))
    | difference(product(b,product(a,c)),bigC(a,b,product(b,a))) != c
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = bigC(c,X_22,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_8904,plain,
    ( difference(product(b,product(a,c)),bigC(a,b,product(b,a))) != c
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = bigC(c,X_22,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c)))) )],[refute_0_8902,refute_0_8903]) ).

cnf(refute_0_8905,plain,
    bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = bigC(c,X_22,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),c) )],[refute_0_8818,refute_0_8904]) ).

cnf(refute_0_8906,plain,
    ( bigC(c,X_22,product(b,product(a,c))) != product(product(bigC(a,b,b),X_22),c)
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != bigC(c,X_22,product(b,product(a,c)))
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(bigC(a,b,b),X_22),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))))),bind(Y,$fot(bigC(c,X_22,product(b,product(a,c))))),bind(Z,$fot(product(product(bigC(a,b,b),X_22),c)))]]) ).

cnf(refute_0_8907,plain,
    ( bigC(c,X_22,product(b,product(a,c))) != product(product(bigC(a,b,b),X_22),c)
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(bigC(a,b,b),X_22),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),bigC(c,X_22,product(b,product(a,c)))) )],[refute_0_8905,refute_0_8906]) ).

cnf(refute_0_8908,plain,
    bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) = product(product(bigC(a,b,b),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(b,product(a,c))),product(product(bigC(a,b,b),X_22),c)) )],[refute_0_8901,refute_0_8907]) ).

cnf(refute_0_8909,plain,
    ( bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != product(product(bigC(a,b,b),X_22),c)
    | bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != product(product(c,X_22),bigC(a,b,product(b,a)))
    | product(product(bigC(a,b,b),X_22),c) = product(product(c,X_22),bigC(a,b,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),product(product(c,X_22),bigC(a,b,product(b,a)))) ),[0],$fot(product(product(bigC(a,b,b),X_22),c))]]) ).

cnf(refute_0_8910,plain,
    ( bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))) != product(product(c,X_22),bigC(a,b,product(b,a)))
    | product(product(bigC(a,b,b),X_22),c) = product(product(c,X_22),bigC(a,b,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),product(product(bigC(a,b,b),X_22),c)) )],[refute_0_8908,refute_0_8909]) ).

cnf(refute_0_8911,plain,
    product(product(bigC(a,b,b),X_22),c) = product(product(c,X_22),bigC(a,b,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(a,c)),bigC(a,b,product(b,a))),X_22,product(b,product(a,c))),product(product(c,X_22),bigC(a,b,product(b,a)))) )],[refute_0_8821,refute_0_8910]) ).

cnf(refute_0_8912,plain,
    ( product(product(bigC(a,b,b),X_22),c) != product(product(c,X_22),bigC(a,b,product(b,a)))
    | product(product(c,X_22),bigC(a,b,product(b,a))) = product(product(bigC(a,b,b),X_22),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,b,b),X_22),c))),bind(Y,$fot(product(product(c,X_22),bigC(a,b,product(b,a)))))]]) ).

cnf(refute_0_8913,plain,
    product(product(c,X_22),bigC(a,b,product(b,a))) = product(product(bigC(a,b,b),X_22),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_22),c),product(product(c,X_22),bigC(a,b,product(b,a)))) )],[refute_0_8911,refute_0_8912]) ).

cnf(refute_0_8914,plain,
    product(product(c,product(c,a)),bigC(a,b,product(b,a))) = product(product(bigC(a,b,b),product(c,a)),c),
    inference(subst,[],[refute_0_8913:[bind(X_22,$fot(product(c,a)))]]) ).

cnf(refute_0_8915,plain,
    ( product(product(bigC(a,b,b),product(c,a)),c) != bigC(c,c,product(product(b,c),a))
    | product(product(c,product(c,a)),bigC(a,b,product(b,a))) != product(product(bigC(a,b,b),product(c,a)),c)
    | product(product(c,product(c,a)),bigC(a,b,product(b,a))) = bigC(c,c,product(product(b,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),bigC(a,b,product(b,a))))),bind(Y,$fot(product(product(bigC(a,b,b),product(c,a)),c))),bind(Z,$fot(bigC(c,c,product(product(b,c),a))))]]) ).

cnf(refute_0_8916,plain,
    ( product(product(bigC(a,b,b),product(c,a)),c) != bigC(c,c,product(product(b,c),a))
    | product(product(c,product(c,a)),bigC(a,b,product(b,a))) = bigC(c,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,b,product(b,a))),product(product(bigC(a,b,b),product(c,a)),c)) )],[refute_0_8914,refute_0_8915]) ).

cnf(refute_0_8917,plain,
    product(product(c,product(c,a)),bigC(a,b,product(b,a))) = bigC(c,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(c,a)),c),bigC(c,c,product(product(b,c),a))) )],[refute_0_6306,refute_0_8916]) ).

cnf(refute_0_8918,plain,
    ( product(c,product(c,bigC(a,a,c))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(product(c,product(c,a)),bigC(a,b,product(b,a))) != bigC(c,c,product(product(b,c),a))
    | product(c,product(c,bigC(a,a,c))) = bigC(c,c,product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,bigC(a,a,c))),bigC(c,c,product(product(b,c),a))) ),[0],$fot(product(product(c,product(c,a)),bigC(a,b,product(b,a))))]]) ).

cnf(refute_0_8919,plain,
    ( product(c,product(c,bigC(a,a,c))) != product(product(c,product(c,a)),bigC(a,b,product(b,a)))
    | product(c,product(c,bigC(a,a,c))) = bigC(c,c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,b,product(b,a))),bigC(c,c,product(product(b,c),a))) )],[refute_0_8917,refute_0_8918]) ).

cnf(refute_0_8920,plain,
    product(c,product(c,bigC(a,a,c))) = bigC(c,c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(a,a,c))),product(product(c,product(c,a)),bigC(a,b,product(b,a)))) )],[refute_0_6230,refute_0_8919]) ).

cnf(refute_0_8921,plain,
    ( product(c,product(c,bigC(a,a,c))) != bigC(c,c,product(product(b,c),a))
    | bigC(c,c,product(product(b,c),a)) = product(c,product(c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,bigC(a,a,c))))),bind(Y,$fot(bigC(c,c,product(product(b,c),a))))]]) ).

cnf(refute_0_8922,plain,
    bigC(c,c,product(product(b,c),a)) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(a,a,c))),bigC(c,c,product(product(b,c),a))) )],[refute_0_8920,refute_0_8921]) ).

cnf(refute_0_8923,plain,
    ( bigC(c,c,product(product(b,c),a)) != product(c,product(c,bigC(a,a,c)))
    | bigC(c,c,product(product(b,c),a)) != product(product(b,product(a,product(a,c))),c)
    | product(c,product(c,bigC(a,a,c))) = product(product(b,product(a,product(a,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(product(b,c),a)),product(product(b,product(a,product(a,c))),c)) ),[0],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_8924,plain,
    ( bigC(c,c,product(product(b,c),a)) != product(product(b,product(a,product(a,c))),c)
    | product(c,product(c,bigC(a,a,c))) = product(product(b,product(a,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,c),a)),product(c,product(c,bigC(a,a,c)))) )],[refute_0_8922,refute_0_8923]) ).

cnf(refute_0_8925,plain,
    product(c,product(c,bigC(a,a,c))) = product(product(b,product(a,product(a,c))),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(b,c),a)),product(product(b,product(a,product(a,c))),c)) )],[refute_0_5041,refute_0_8924]) ).

cnf(refute_0_8926,plain,
    ( product(c,product(c,bigC(a,a,c))) != product(product(b,product(a,product(a,c))),c)
    | product(product(b,product(a,product(a,c))),c) = product(c,product(c,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,bigC(a,a,c))))),bind(Y,$fot(product(product(b,product(a,product(a,c))),c)))]]) ).

cnf(refute_0_8927,plain,
    product(product(b,product(a,product(a,c))),c) = product(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(a,a,c))),product(product(b,product(a,product(a,c))),c)) )],[refute_0_8925,refute_0_8926]) ).

cnf(refute_0_8928,plain,
    difference(c,product(product(b,product(a,product(a,c))),c)) = difference(c,product(product(b,product(a,product(a,c))),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(product(b,product(a,product(a,c))),c)))]]) ).

cnf(refute_0_8929,plain,
    ( difference(c,product(product(b,product(a,product(a,c))),c)) != difference(c,product(product(b,product(a,product(a,c))),c))
    | product(product(b,product(a,product(a,c))),c) != product(c,product(c,bigC(a,a,c)))
    | difference(c,product(product(b,product(a,product(a,c))),c)) = difference(c,product(c,product(c,bigC(a,a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(b,product(a,product(a,c))),c)),difference(c,product(product(b,product(a,product(a,c))),c))) ),[1,1],$fot(product(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_8930,plain,
    ( product(product(b,product(a,product(a,c))),c) != product(c,product(c,bigC(a,a,c)))
    | difference(c,product(product(b,product(a,product(a,c))),c)) = difference(c,product(c,product(c,bigC(a,a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,product(a,product(a,c))),c)),difference(c,product(product(b,product(a,product(a,c))),c))) )],[refute_0_8928,refute_0_8929]) ).

cnf(refute_0_8931,plain,
    difference(c,product(product(b,product(a,product(a,c))),c)) = difference(c,product(c,product(c,bigC(a,a,c)))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,product(a,c))),c),product(c,product(c,bigC(a,a,c)))) )],[refute_0_8927,refute_0_8930]) ).

cnf(refute_0_8932,plain,
    ( difference(c,product(c,product(c,bigC(a,a,c)))) != product(c,bigC(a,a,c))
    | difference(c,product(product(b,product(a,product(a,c))),c)) != difference(c,product(c,product(c,bigC(a,a,c))))
    | difference(c,product(product(b,product(a,product(a,c))),c)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(b,product(a,product(a,c))),c)))),bind(Y,$fot(difference(c,product(c,product(c,bigC(a,a,c)))))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_8933,plain,
    ( difference(c,product(c,product(c,bigC(a,a,c)))) != product(c,bigC(a,a,c))
    | difference(c,product(product(b,product(a,product(a,c))),c)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,product(a,product(a,c))),c)),difference(c,product(c,product(c,bigC(a,a,c))))) )],[refute_0_8931,refute_0_8932]) ).

cnf(refute_0_8934,plain,
    difference(c,product(product(b,product(a,product(a,c))),c)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(c,bigC(a,a,c)))),product(c,bigC(a,a,c))) )],[refute_0_5033,refute_0_8933]) ).

cnf(refute_0_8935,plain,
    ( difference(c,product(product(b,product(a,product(a,c))),c)) != product(c,bigC(a,a,c))
    | product(product(product(b,c),a),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | product(product(product(b,c),a),c) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),a),c),difference(c,product(product(b,product(a,product(a,c))),c))) ),[1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_8936,plain,
    ( product(product(product(b,c),a),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | product(product(product(b,c),a),c) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,product(a,product(a,c))),c)),product(c,bigC(a,a,c))) )],[refute_0_8934,refute_0_8935]) ).

cnf(refute_0_8937,plain,
    ( quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c) != difference(c,product(product(b,product(a,product(a,c))),c))
    | product(product(product(b,c),a),c) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),c),difference(c,product(product(b,product(a,product(a,c))),c))) )],[refute_0_5032,refute_0_8936]) ).

cnf(refute_0_8938,plain,
    product(product(product(b,c),a),c) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(product(bigC(b,b,c),c),c)),c),difference(c,product(product(b,product(a,product(a,c))),c))) )],[refute_0_4511,refute_0_8937]) ).

cnf(refute_0_8939,plain,
    ( product(product(product(b,c),a),c) != product(c,bigC(a,a,c))
    | quotient(product(product(product(b,c),a),c),c) != product(product(b,c),a)
    | quotient(product(c,bigC(a,a,c)),c) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(b,c),a),c),c),product(product(b,c),a)) ),[0,0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_8940,plain,
    ( quotient(product(product(product(b,c),a),c),c) != product(product(b,c),a)
    | quotient(product(c,bigC(a,a,c)),c) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),c),product(c,bigC(a,a,c))) )],[refute_0_8938,refute_0_8939]) ).

cnf(refute_0_8941,plain,
    quotient(product(c,bigC(a,a,c)),c) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(b,c),a),c),c),product(product(b,c),a)) )],[refute_0_2650,refute_0_8940]) ).

cnf(refute_0_8942,plain,
    quotient(product(c,bigC(a,a,c)),c) = product(c,quotient(bigC(a,a,c),c)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(bigC(a,a,c))),bind(X_85,$fot(c))]]) ).

cnf(refute_0_8943,plain,
    ( quotient(product(c,bigC(a,a,c)),c) != product(c,quotient(bigC(a,a,c),c))
    | quotient(product(c,bigC(a,a,c)),c) != product(product(b,c),a)
    | product(c,quotient(bigC(a,a,c),c)) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),c),product(product(b,c),a)) ),[0],$fot(product(c,quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_8944,plain,
    ( quotient(product(c,bigC(a,a,c)),c) != product(product(b,c),a)
    | product(c,quotient(bigC(a,a,c),c)) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),c),product(c,quotient(bigC(a,a,c),c))) )],[refute_0_8942,refute_0_8943]) ).

cnf(refute_0_8945,plain,
    product(c,quotient(bigC(a,a,c),c)) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,a,c)),c),product(product(b,c),a)) )],[refute_0_8941,refute_0_8944]) ).

cnf(refute_0_8946,plain,
    ( difference(c,product(c,quotient(bigC(a,a,c),c))) != quotient(bigC(a,a,c),c)
    | product(c,quotient(bigC(a,a,c),c)) != product(product(b,c),a)
    | difference(c,product(product(b,c),a)) = quotient(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(bigC(a,a,c),c))),quotient(bigC(a,a,c),c)) ),[0,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_8947,plain,
    ( difference(c,product(c,quotient(bigC(a,a,c),c))) != quotient(bigC(a,a,c),c)
    | difference(c,product(product(b,c),a)) = quotient(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(product(b,c),a)) )],[refute_0_8945,refute_0_8946]) ).

cnf(refute_0_8948,plain,
    difference(c,product(product(b,c),a)) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(bigC(a,a,c),c))),quotient(bigC(a,a,c),c)) )],[refute_0_2649,refute_0_8947]) ).

cnf(refute_0_8949,plain,
    product(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),bigC(a,a,c)) = difference(product(a,product(c,b)),c),
    inference(subst,[],[sos04:[bind(A,$fot(difference(product(a,product(c,b)),c))),bind(B,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_8950,plain,
    quotient(quotient(bigC(a,a,c),product(bigC(a,a,c),product(product(a,c),b))),bigC(a,a,c)) = difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,a,c))),bind(X_29,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_8951,plain,
    quotient(product(product(bigC(a,a,c),product(product(a,c),b)),b),b) = product(bigC(a,a,c),product(product(a,c),b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(bigC(a,a,c),product(product(a,c),b)))),bind(B,$fot(b))]]) ).

cnf(refute_0_8952,plain,
    difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(product(product(a,c),b),quotient(product(c,b),product(product(a,c),b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(c,b))),bind(X_20,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_8953,plain,
    quotient(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(product(c,b),b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(c,b))),bind(X_6,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_8954,plain,
    difference(product(product(c,b),b),bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c)))) = product(product(a,product(b,c)),product(product(c,b),b)),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(product(product(c,b),b))),bind(X_37,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_8955,plain,
    bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = product(product(product(product(c,b),b),X_22),product(product(product(a,c),c),product(product(c,b),b))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(c,b),b))),bind(B,$fot(X_22)),bind(C,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_8956,plain,
    ( bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != product(product(product(product(c,b),b),X_22),product(product(product(a,c),c),product(product(c,b),b)))
    | product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),product(product(product(product(c,b),b),X_22),product(product(product(a,c),c),product(product(c,b),b)))) ),[1,1],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_8957,plain,
    ( bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != product(product(product(product(c,b),b),X_22),product(product(product(a,c),c),product(product(c,b),b)))
    | bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,b),product(c,b))) )],[refute_0_7308,refute_0_8956]) ).

cnf(refute_0_8958,plain,
    bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),product(product(product(product(c,b),b),X_22),product(product(product(a,c),c),product(product(c,b),b)))) )],[refute_0_8955,refute_0_8957]) ).

cnf(refute_0_8959,plain,
    bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = bigC(product(product(c,b),b),X_22,product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),b),X_22,product(product(a,c),c)))]]) ).

cnf(refute_0_8960,plain,
    ( bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != bigC(product(product(c,b),b),X_22,product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = bigC(product(product(c,b),b),X_22,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),bigC(product(product(c,b),b),X_22,product(product(a,c),c))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_8961,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = bigC(product(product(c,b),b),X_22,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),bigC(product(product(c,b),b),X_22,product(product(a,c),c))) )],[refute_0_8959,refute_0_8960]) ).

cnf(refute_0_8962,plain,
    bigC(product(product(c,b),b),X_22,product(product(a,c),c)) = bigC(product(product(c,b),b),X_22,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_8961]) ).

cnf(refute_0_8963,plain,
    ( bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != bigC(product(product(c,b),b),X_22,product(a,product(b,c)))
    | bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))
    | bigC(product(product(c,b),b),X_22,product(a,product(b,c))) = product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))) ),[0],$fot(bigC(product(product(c,b),b),X_22,product(a,product(b,c))))]]) ).

cnf(refute_0_8964,plain,
    ( bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))
    | bigC(product(product(c,b),b),X_22,product(a,product(b,c))) = product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),bigC(product(product(c,b),b),X_22,product(a,product(b,c)))) )],[refute_0_8962,refute_0_8963]) ).

cnf(refute_0_8965,plain,
    bigC(product(c,b),X_22,product(product(a,b),c)) = bigC(product(c,b),X_22,product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),X_22,product(product(a,b),c)))]]) ).

cnf(refute_0_8966,plain,
    ( bigC(product(c,b),X_22,product(product(a,b),c)) != bigC(product(c,b),X_22,product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | bigC(product(c,b),X_22,product(product(a,b),c)) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_22,product(product(a,b),c)),bigC(product(c,b),X_22,product(product(a,b),c))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_8967,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | bigC(product(c,b),X_22,product(product(a,b),c)) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(product(a,b),c)),bigC(product(c,b),X_22,product(product(a,b),c))) )],[refute_0_8965,refute_0_8966]) ).

cnf(refute_0_8968,plain,
    bigC(product(c,b),X_22,product(product(a,b),c)) = bigC(product(c,b),X_22,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_8967]) ).

cnf(refute_0_8969,plain,
    product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(product(a,b),c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_22)),bind(X_63,$fot(product(a,b))),bind(X_64,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_8970,plain,
    ( bigC(product(c,b),X_22,product(product(a,b),c)) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) != bigC(product(c,b),X_22,product(product(a,b),c))
    | product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,product(a,b)),product(X_22,product(c,b))))),bind(Y,$fot(bigC(product(c,b),X_22,product(product(a,b),c)))),bind(Z,$fot(bigC(product(c,b),X_22,product(c,product(c,b)))))]]) ).

cnf(refute_0_8971,plain,
    ( bigC(product(c,b),X_22,product(product(a,b),c)) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(a,b)),product(X_22,product(c,b))),bigC(product(c,b),X_22,product(product(a,b),c))) )],[refute_0_8969,refute_0_8970]) ).

cnf(refute_0_8972,plain,
    product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(product(a,b),c)),bigC(product(c,b),X_22,product(c,product(c,b)))) )],[refute_0_8968,refute_0_8971]) ).

cnf(refute_0_8973,plain,
    bigC(c,product(a,b),b) = bigC(c,b,product(a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_8974,plain,
    product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = product(bigC(c,product(a,b),b),product(X_22,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(a,b),b),product(X_22,product(c,b))))]]) ).

cnf(refute_0_8975,plain,
    ( bigC(c,product(a,b),b) != bigC(c,b,product(a,b))
    | product(bigC(c,product(a,b),b),product(X_22,product(c,b))) != product(bigC(c,product(a,b),b),product(X_22,product(c,b)))
    | product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(a,b),b),product(X_22,product(c,b))),product(bigC(c,product(a,b),b),product(X_22,product(c,b)))) ),[1,0],$fot(bigC(c,b,product(a,b)))]]) ).

cnf(refute_0_8976,plain,
    ( bigC(c,product(a,b),b) != bigC(c,b,product(a,b))
    | product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),b),product(X_22,product(c,b))),product(bigC(c,product(a,b),b),product(X_22,product(c,b)))) )],[refute_0_8974,refute_0_8975]) ).

cnf(refute_0_8977,plain,
    product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = product(bigC(c,b,product(a,b)),product(X_22,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),b),bigC(c,b,product(a,b))) )],[refute_0_8973,refute_0_8976]) ).

cnf(refute_0_8978,plain,
    ( product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | product(bigC(c,product(a,b),b),product(X_22,product(c,b))) != product(bigC(c,b,product(a,b)),product(X_22,product(c,b)))
    | product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,product(a,b),b),product(X_22,product(c,b))))),bind(Y,$fot(product(bigC(c,b,product(a,b)),product(X_22,product(c,b))))),bind(Z,$fot(bigC(product(c,b),X_22,product(c,product(c,b)))))]]) ).

cnf(refute_0_8979,plain,
    ( product(bigC(c,b,product(a,b)),product(X_22,product(c,b))) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),b),product(X_22,product(c,b))),product(bigC(c,b,product(a,b)),product(X_22,product(c,b)))) )],[refute_0_8977,refute_0_8978]) ).

cnf(refute_0_8980,plain,
    product(bigC(c,product(a,b),b),product(X_22,product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(a,b)),product(X_22,product(c,b))),bigC(product(c,b),X_22,product(c,product(c,b)))) )],[refute_0_8972,refute_0_8979]) ).

cnf(refute_0_8981,plain,
    product(product(product(product(c,b),X_22),product(a,b)),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(product(product(c,b),X_22))),bind(B,$fot(product(a,b))),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_8982,plain,
    ( product(product(product(c,b),X_22),product(a,b)) != bigC(product(c,b),X_22,product(a,c))
    | product(product(product(product(c,b),X_22),product(a,b)),product(X_65,X_66)) != product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))
    | product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),X_22),product(a,b)),product(X_65,X_66)),product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))) ),[0,0],$fot(bigC(product(c,b),X_22,product(a,c)))]]) ).

cnf(refute_0_8983,plain,
    ( product(product(product(product(c,b),X_22),product(a,b)),product(X_65,X_66)) != product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))
    | product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_22),product(a,b)),bigC(product(c,b),X_22,product(a,c))) )],[refute_0_7769,refute_0_8982]) ).

cnf(refute_0_8984,plain,
    product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),X_22),product(a,b)),product(X_65,X_66)),product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))) )],[refute_0_8981,refute_0_8983]) ).

cnf(refute_0_8985,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = product(product(product(b,a),quotient(product(c,b),product(b,a))),product(C,product(b,a))),
    inference(subst,[],[sos08:[bind(A,$fot(product(b,a))),bind(B,$fot(quotient(product(c,b),product(b,a))))]]) ).

cnf(refute_0_8986,plain,
    difference(product(b,a),difference(product(product(c,b),product(b,a)),product(b,a))) = product(product(b,a),quotient(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(b,a))),bind(X_27,$fot(product(c,b)))]]) ).

cnf(refute_0_8987,plain,
    ( difference(product(b,a),difference(product(product(c,b),product(b,a)),product(b,a))) != product(product(b,a),quotient(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(b,a),difference(product(b,c),product(b,a))) = product(product(b,a),quotient(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(product(c,b),product(b,a)),product(b,a))),product(product(b,a),quotient(product(c,b),product(b,a)))) ),[0,1,0],$fot(product(b,c))]]) ).

cnf(refute_0_8988,plain,
    ( difference(product(b,a),difference(product(product(c,b),product(b,a)),product(b,a))) != product(product(b,a),quotient(product(c,b),product(b,a)))
    | difference(product(b,a),difference(product(b,c),product(b,a))) = product(product(b,a),quotient(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_8987]) ).

cnf(refute_0_8989,plain,
    difference(product(b,a),difference(product(b,c),product(b,a))) = product(product(b,a),quotient(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(product(c,b),product(b,a)),product(b,a))),product(product(b,a),quotient(product(c,b),product(b,a)))) )],[refute_0_8986,refute_0_8988]) ).

cnf(refute_0_8990,plain,
    ( difference(product(b,a),difference(product(b,c),product(b,a))) != product(product(b,a),quotient(product(c,b),product(b,a)))
    | product(product(b,a),quotient(product(c,b),product(b,a))) = difference(product(b,a),difference(product(b,c),product(b,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,a),difference(product(b,c),product(b,a))))),bind(Y,$fot(product(product(b,a),quotient(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_8991,plain,
    product(product(b,a),quotient(product(c,b),product(b,a))) = difference(product(b,a),difference(product(b,c),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,c),product(b,a))),product(product(b,a),quotient(product(c,b),product(b,a)))) )],[refute_0_8989,refute_0_8990]) ).

cnf(refute_0_8992,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != product(product(product(b,a),quotient(product(c,b),product(b,a))),product(C,product(b,a)))
    | product(product(b,a),quotient(product(c,b),product(b,a))) != difference(product(b,a),difference(product(b,c),product(b,a)))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),C),product(product(product(b,a),quotient(product(c,b),product(b,a))),product(C,product(b,a)))) ),[1,0],$fot(difference(product(b,a),difference(product(b,c),product(b,a))))]]) ).

cnf(refute_0_8993,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != product(product(product(b,a),quotient(product(c,b),product(b,a))),product(C,product(b,a)))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(c,b),product(b,a))),difference(product(b,a),difference(product(b,c),product(b,a)))) )],[refute_0_8991,refute_0_8992]) ).

cnf(refute_0_8994,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),C),product(product(product(b,a),quotient(product(c,b),product(b,a))),product(C,product(b,a)))) )],[refute_0_8985,refute_0_8993]) ).

cnf(refute_0_8995,plain,
    product(product(product(c,b),X_22),product(a,b)) = product(product(product(c,b),a),product(X_22,b)),
    inference(subst,[],[sos05:[bind(A,$fot(product(c,b))),bind(B,$fot(X_22)),bind(C,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_8996,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),X_22),product(a,b))
    | product(product(product(c,b),X_22),product(a,b)) != product(product(product(c,b),a),product(X_22,b))
    | bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),a),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_22,product(a,c)),product(product(product(c,b),a),product(X_22,b))) ),[0],$fot(product(product(product(c,b),X_22),product(a,b)))]]) ).

cnf(refute_0_8997,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),X_22),product(a,b))
    | bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),a),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_22),product(a,b)),product(product(product(c,b),a),product(X_22,b))) )],[refute_0_8995,refute_0_8996]) ).

cnf(refute_0_8998,plain,
    bigC(product(c,b),X_22,product(a,c)) = product(product(product(c,b),a),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(product(c,b),X_22),product(a,b))) )],[refute_0_7767,refute_0_8997]) ).

cnf(refute_0_8999,plain,
    product(product(product(c,b),a),product(X_22,b)) = product(product(product(c,b),a),product(X_22,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),a),product(X_22,b)))]]) ).

cnf(refute_0_9000,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),product(X_22,b)) != product(product(product(c,b),a),product(X_22,b))
    | product(product(product(c,b),a),product(X_22,b)) = product(product(c,product(c,a)),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),product(X_22,b)),product(product(product(c,b),a),product(X_22,b))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_9001,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),product(X_22,b)) = product(product(c,product(c,a)),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(X_22,b)),product(product(product(c,b),a),product(X_22,b))) )],[refute_0_8999,refute_0_9000]) ).

cnf(refute_0_9002,plain,
    product(product(product(c,b),a),product(X_22,b)) = product(product(c,product(c,a)),product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_9001]) ).

cnf(refute_0_9003,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),a),product(X_22,b))
    | product(product(product(c,b),a),product(X_22,b)) != product(product(c,product(c,a)),product(X_22,b))
    | bigC(product(c,b),X_22,product(a,c)) = product(product(c,product(c,a)),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_22,product(a,c)),product(product(c,product(c,a)),product(X_22,b))) ),[0],$fot(product(product(product(c,b),a),product(X_22,b)))]]) ).

cnf(refute_0_9004,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(product(c,b),a),product(X_22,b))
    | bigC(product(c,b),X_22,product(a,c)) = product(product(c,product(c,a)),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(X_22,b)),product(product(c,product(c,a)),product(X_22,b))) )],[refute_0_9002,refute_0_9003]) ).

cnf(refute_0_9005,plain,
    bigC(product(c,b),X_22,product(a,c)) = product(product(c,product(c,a)),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(product(c,b),a),product(X_22,b))) )],[refute_0_8998,refute_0_9004]) ).

cnf(refute_0_9006,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(c,product(c,a)),product(X_22,b))
    | product(product(c,product(c,a)),product(X_22,b)) = bigC(product(c,b),X_22,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(c,b),X_22,product(a,c)))),bind(Y,$fot(product(product(c,product(c,a)),product(X_22,b))))]]) ).

cnf(refute_0_9007,plain,
    product(product(c,product(c,a)),product(X_22,b)) = bigC(product(c,b),X_22,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(c,product(c,a)),product(X_22,b))) )],[refute_0_9005,refute_0_9006]) ).

cnf(refute_0_9008,plain,
    product(product(c,product(c,a)),product(C,b)) = bigC(product(c,b),C,product(a,c)),
    inference(subst,[],[refute_0_9007:[bind(X_22,$fot(C))]]) ).

cnf(refute_0_9009,plain,
    product(product(product(b,a),B),product(c,D)) = product(product(product(b,a),c),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(b,a))),bind(C,$fot(c))]]) ).

cnf(refute_0_9010,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(product(b,a),B),product(c,D)) != product(product(product(b,a),c),product(B,D))
    | product(product(product(b,a),B),product(c,D)) = product(product(c,product(c,a)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),B),product(c,D)),product(product(product(b,a),c),product(B,D))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_9011,plain,
    ( product(product(product(b,a),B),product(c,D)) != product(product(product(b,a),c),product(B,D))
    | product(product(product(b,a),B),product(c,D)) = product(product(c,product(c,a)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_9010]) ).

cnf(refute_0_9012,plain,
    product(product(product(b,a),B),product(c,D)) = product(product(c,product(c,a)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),product(c,D)),product(product(product(b,a),c),product(B,D))) )],[refute_0_9009,refute_0_9011]) ).

cnf(refute_0_9013,plain,
    product(product(product(b,a),C),product(c,b)) = product(product(c,product(c,a)),product(C,b)),
    inference(subst,[],[refute_0_9012:[bind(B,$fot(C)),bind(D,$fot(b))]]) ).

cnf(refute_0_9014,plain,
    ( product(product(c,product(c,a)),product(C,b)) != bigC(product(c,b),C,product(a,c))
    | product(product(product(b,a),C),product(c,b)) != product(product(c,product(c,a)),product(C,b))
    | product(product(product(b,a),C),product(c,b)) = bigC(product(c,b),C,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),C),product(c,b)))),bind(Y,$fot(product(product(c,product(c,a)),product(C,b)))),bind(Z,$fot(bigC(product(c,b),C,product(a,c))))]]) ).

cnf(refute_0_9015,plain,
    ( product(product(c,product(c,a)),product(C,b)) != bigC(product(c,b),C,product(a,c))
    | product(product(product(b,a),C),product(c,b)) = bigC(product(c,b),C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),C),product(c,b)),product(product(c,product(c,a)),product(C,b))) )],[refute_0_9013,refute_0_9014]) ).

cnf(refute_0_9016,plain,
    product(product(product(b,a),C),product(c,b)) = bigC(product(c,b),C,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(C,b)),bigC(product(c,b),C,product(a,c))) )],[refute_0_9008,refute_0_9015]) ).

cnf(refute_0_9017,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = product(product(product(b,a),C),product(c,b)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(c,b))),bind(X_21,$fot(product(b,a))),bind(X_22,$fot(C))]]) ).

cnf(refute_0_9018,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != product(product(product(b,a),C),product(c,b))
    | product(product(product(b,a),C),product(c,b)) != bigC(product(c,b),C,product(a,c))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = bigC(product(c,b),C,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),quotient(product(c,b),product(b,a)),C))),bind(Y,$fot(product(product(product(b,a),C),product(c,b)))),bind(Z,$fot(bigC(product(c,b),C,product(a,c))))]]) ).

cnf(refute_0_9019,plain,
    ( product(product(product(b,a),C),product(c,b)) != bigC(product(c,b),C,product(a,c))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = bigC(product(c,b),C,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),C),product(product(product(b,a),C),product(c,b))) )],[refute_0_9017,refute_0_9018]) ).

cnf(refute_0_9020,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),C) = bigC(product(c,b),C,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),C),product(c,b)),bigC(product(c,b),C,product(a,c))) )],[refute_0_9016,refute_0_9019]) ).

cnf(refute_0_9021,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != bigC(product(c,b),C,product(a,c))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))
    | bigC(product(c,b),C,product(a,c)) = product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),C),product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))) ),[0],$fot(bigC(product(c,b),C,product(a,c)))]]) ).

cnf(refute_0_9022,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))
    | bigC(product(c,b),C,product(a,c)) = product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),C),bigC(product(c,b),C,product(a,c))) )],[refute_0_9020,refute_0_9021]) ).

cnf(refute_0_9023,plain,
    quotient(product(C,product(b,a)),product(b,a)) = C,
    inference(subst,[],[sos03:[bind(A,$fot(C)),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_9024,plain,
    bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) = bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))),
    introduced(tautology,[refl,[$fot(bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))))]]) ).

cnf(refute_0_9025,plain,
    ( bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) != bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a)))
    | quotient(product(C,product(b,a)),product(b,a)) != C
    | bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) = bigC(c,product(a,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))),bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a)))) ),[1,2],$fot(C)]]) ).

cnf(refute_0_9026,plain,
    ( quotient(product(C,product(b,a)),product(b,a)) != C
    | bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) = bigC(c,product(a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))),bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a)))) )],[refute_0_9024,refute_0_9025]) ).

cnf(refute_0_9027,plain,
    bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) = bigC(c,product(a,b),C),
    inference(resolve,[$cnf( $equal(quotient(product(C,product(b,a)),product(b,a)),C) )],[refute_0_9023,refute_0_9026]) ).

cnf(refute_0_9028,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = product(product(product(b,a),quotient(product(c,b),product(b,a))),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(product(b,a))),bind(X_22,$fot(quotient(product(c,b),product(b,a))))]]) ).

cnf(refute_0_9029,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) != product(product(product(b,a),quotient(product(c,b),product(b,a))),A)
    | product(product(b,a),quotient(product(c,b),product(b,a))) != difference(product(b,a),difference(product(b,c),product(b,a)))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = product(difference(product(b,a),difference(product(b,c),product(b,a))),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))),product(product(product(b,a),quotient(product(c,b),product(b,a))),A)) ),[1,0],$fot(difference(product(b,a),difference(product(b,c),product(b,a))))]]) ).

cnf(refute_0_9030,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) != product(product(product(b,a),quotient(product(c,b),product(b,a))),A)
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = product(difference(product(b,a),difference(product(b,c),product(b,a))),A) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(c,b),product(b,a))),difference(product(b,a),difference(product(b,c),product(b,a)))) )],[refute_0_8991,refute_0_9029]) ).

cnf(refute_0_9031,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = product(difference(product(b,a),difference(product(b,c),product(b,a))),A),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))),product(product(product(b,a),quotient(product(c,b),product(b,a))),A)) )],[refute_0_9028,refute_0_9030]) ).

cnf(refute_0_9032,plain,
    bigC(c,quotient(A,product(b,a)),product(a,b)) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(quotient(A,product(b,a))))]]) ).

cnf(refute_0_9033,plain,
    bigC(product(c,b),difference(product(c,b),c),X_23) = product(c,product(X_23,product(c,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(c)),bind(X_21,$fot(product(c,b)))]]) ).

cnf(refute_0_9034,plain,
    product(quotient(product(a,c),product(c,b)),product(c,b)) = product(a,c),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_9035,plain,
    difference(product(c,b),product(product(c,b),quotient(product(a,c),product(c,b)))) = quotient(product(a,c),product(c,b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_9036,plain,
    difference(product(c,b),difference(product(product(a,c),product(c,b)),product(c,b))) = product(product(c,b),quotient(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(c,b))),bind(X_27,$fot(product(a,c)))]]) ).

cnf(refute_0_9037,plain,
    ( difference(product(c,b),difference(product(product(a,c),product(c,b)),product(c,b))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(c,b),difference(product(a,b),product(c,b))) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),difference(product(product(a,c),product(c,b)),product(c,b))),product(product(c,b),quotient(product(a,c),product(c,b)))) ),[0,1,0],$fot(product(a,b))]]) ).

cnf(refute_0_9038,plain,
    ( difference(product(c,b),difference(product(product(a,c),product(c,b)),product(c,b))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | difference(product(c,b),difference(product(a,b),product(c,b))) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_9037]) ).

cnf(refute_0_9039,plain,
    difference(product(c,b),difference(product(a,b),product(c,b))) = product(product(c,b),quotient(product(a,c),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(product(a,c),product(c,b)),product(c,b))),product(product(c,b),quotient(product(a,c),product(c,b)))) )],[refute_0_9036,refute_0_9038]) ).

cnf(refute_0_9040,plain,
    difference(product(c,b),product(product(c,b),product(b,a))) = product(b,a),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_9041,plain,
    ( difference(product(c,b),product(product(c,b),product(b,a))) != product(b,a)
    | product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(c,b),product(b,c)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(b,a))),product(b,a)) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_9042,plain,
    ( difference(product(c,b),product(product(c,b),product(b,a))) != product(b,a)
    | difference(product(c,b),product(b,c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_9041]) ).

cnf(refute_0_9043,plain,
    difference(product(c,b),product(b,c)) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),product(b,a))),product(b,a)) )],[refute_0_9040,refute_0_9042]) ).

cnf(refute_0_9044,plain,
    ( difference(product(a,b),product(c,b)) != product(b,bigC(c,a,b))
    | product(b,bigC(c,a,b)) != product(b,c)
    | difference(product(a,b),product(c,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),product(c,b)),product(b,c)) ),[0],$fot(product(b,bigC(c,a,b)))]]) ).

cnf(refute_0_9045,plain,
    ( difference(product(a,b),product(c,b)) != product(b,bigC(c,a,b))
    | difference(product(a,b),product(c,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_9044]) ).

cnf(refute_0_9046,plain,
    difference(product(a,b),product(c,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,b)),product(b,bigC(c,a,b))) )],[refute_0_4531,refute_0_9045]) ).

cnf(refute_0_9047,plain,
    difference(product(c,b),difference(product(a,b),product(c,b))) = difference(product(c,b),difference(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),difference(product(a,b),product(c,b))))]]) ).

cnf(refute_0_9048,plain,
    ( difference(product(a,b),product(c,b)) != product(b,c)
    | difference(product(c,b),difference(product(a,b),product(c,b))) != difference(product(c,b),difference(product(a,b),product(c,b)))
    | difference(product(c,b),difference(product(a,b),product(c,b))) = difference(product(c,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),difference(product(a,b),product(c,b))),difference(product(c,b),difference(product(a,b),product(c,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_9049,plain,
    ( difference(product(a,b),product(c,b)) != product(b,c)
    | difference(product(c,b),difference(product(a,b),product(c,b))) = difference(product(c,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(a,b),product(c,b))),difference(product(c,b),difference(product(a,b),product(c,b)))) )],[refute_0_9047,refute_0_9048]) ).

cnf(refute_0_9050,plain,
    difference(product(c,b),difference(product(a,b),product(c,b))) = difference(product(c,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,b)),product(b,c)) )],[refute_0_9046,refute_0_9049]) ).

cnf(refute_0_9051,plain,
    ( difference(product(c,b),difference(product(a,b),product(c,b))) != difference(product(c,b),product(b,c))
    | difference(product(c,b),product(b,c)) != product(b,a)
    | difference(product(c,b),difference(product(a,b),product(c,b))) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,b),difference(product(a,b),product(c,b))))),bind(Y,$fot(difference(product(c,b),product(b,c)))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_9052,plain,
    ( difference(product(c,b),product(b,c)) != product(b,a)
    | difference(product(c,b),difference(product(a,b),product(c,b))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(a,b),product(c,b))),difference(product(c,b),product(b,c))) )],[refute_0_9050,refute_0_9051]) ).

cnf(refute_0_9053,plain,
    difference(product(c,b),difference(product(a,b),product(c,b))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,c)),product(b,a)) )],[refute_0_9043,refute_0_9052]) ).

cnf(refute_0_9054,plain,
    ( difference(product(c,b),difference(product(a,b),product(c,b))) != product(b,a)
    | difference(product(c,b),difference(product(a,b),product(c,b))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(b,a) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),difference(product(a,b),product(c,b))),product(product(c,b),quotient(product(a,c),product(c,b)))) ),[0],$fot(product(b,a))]]) ).

cnf(refute_0_9055,plain,
    ( difference(product(c,b),difference(product(a,b),product(c,b))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(b,a) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(a,b),product(c,b))),product(b,a)) )],[refute_0_9053,refute_0_9054]) ).

cnf(refute_0_9056,plain,
    product(b,a) = product(product(c,b),quotient(product(a,c),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(a,b),product(c,b))),product(product(c,b),quotient(product(a,c),product(c,b)))) )],[refute_0_9039,refute_0_9055]) ).

cnf(refute_0_9057,plain,
    ( product(b,a) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(c,b),quotient(product(a,c),product(c,b))) = product(b,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,a))),bind(Y,$fot(product(product(c,b),quotient(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_9058,plain,
    product(product(c,b),quotient(product(a,c),product(c,b))) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,a),product(product(c,b),quotient(product(a,c),product(c,b)))) )],[refute_0_9056,refute_0_9057]) ).

cnf(refute_0_9059,plain,
    ( difference(product(c,b),product(product(c,b),quotient(product(a,c),product(c,b)))) != quotient(product(a,c),product(c,b))
    | product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | difference(product(c,b),product(b,a)) = quotient(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),quotient(product(a,c),product(c,b)))),quotient(product(a,c),product(c,b))) ),[0,1],$fot(product(b,a))]]) ).

cnf(refute_0_9060,plain,
    ( difference(product(c,b),product(product(c,b),quotient(product(a,c),product(c,b)))) != quotient(product(a,c),product(c,b))
    | difference(product(c,b),product(b,a)) = quotient(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_9059]) ).

cnf(refute_0_9061,plain,
    difference(product(c,b),product(b,a)) = quotient(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),quotient(product(a,c),product(c,b)))),quotient(product(a,c),product(c,b))) )],[refute_0_9035,refute_0_9060]) ).

cnf(refute_0_9062,plain,
    ( difference(product(c,b),product(b,a)) != quotient(product(a,c),product(c,b))
    | quotient(product(a,c),product(c,b)) = difference(product(c,b),product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,b),product(b,a)))),bind(Y,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_9063,plain,
    quotient(product(a,c),product(c,b)) = difference(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(product(a,c),product(c,b))) )],[refute_0_9061,refute_0_9062]) ).

cnf(refute_0_9064,plain,
    ( product(quotient(product(a,c),product(c,b)),product(c,b)) != product(a,c)
    | quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(difference(product(c,b),product(b,a)),product(c,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(c,b)),product(a,c)) ),[0,0],$fot(difference(product(c,b),product(b,a)))]]) ).

cnf(refute_0_9065,plain,
    ( product(quotient(product(a,c),product(c,b)),product(c,b)) != product(a,c)
    | product(difference(product(c,b),product(b,a)),product(c,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),difference(product(c,b),product(b,a))) )],[refute_0_9063,refute_0_9064]) ).

cnf(refute_0_9066,plain,
    product(difference(product(c,b),product(b,a)),product(c,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(c,b)),product(a,c)) )],[refute_0_9034,refute_0_9065]) ).

cnf(refute_0_9067,plain,
    difference(product(c,b),product(product(b,a),product(c,b))) = difference(product(c,b),product(product(b,a),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),product(product(b,a),product(c,b))))]]) ).

cnf(refute_0_9068,plain,
    ( difference(product(c,b),product(product(b,a),product(c,b))) != difference(product(c,b),product(product(b,a),product(c,b)))
    | product(product(b,a),product(c,b)) != c
    | difference(product(c,b),product(product(b,a),product(c,b))) = difference(product(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(b,a),product(c,b))),difference(product(c,b),product(product(b,a),product(c,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_9069,plain,
    ( product(product(b,a),product(c,b)) != c
    | difference(product(c,b),product(product(b,a),product(c,b))) = difference(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(b,a),product(c,b))),difference(product(c,b),product(product(b,a),product(c,b)))) )],[refute_0_9067,refute_0_9068]) ).

cnf(refute_0_9070,plain,
    difference(product(c,b),product(product(b,a),product(c,b))) = difference(product(c,b),c),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),c) )],[refute_0_2320,refute_0_9069]) ).

cnf(refute_0_9071,plain,
    product(difference(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),product(product(b,a),product(c,b))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(b,a))),bind(X_74,$fot(product(c,b)))]]) ).

cnf(refute_0_9072,plain,
    ( difference(product(c,b),product(product(b,a),product(c,b))) != difference(product(c,b),c)
    | product(difference(product(c,b),product(b,a)),product(c,b)) != difference(product(c,b),product(product(b,a),product(c,b)))
    | product(difference(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),product(b,a)),product(c,b)))),bind(Y,$fot(difference(product(c,b),product(product(b,a),product(c,b))))),bind(Z,$fot(difference(product(c,b),c)))]]) ).

cnf(refute_0_9073,plain,
    ( difference(product(c,b),product(product(b,a),product(c,b))) != difference(product(c,b),c)
    | product(difference(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(c,b)),difference(product(c,b),product(product(b,a),product(c,b)))) )],[refute_0_9071,refute_0_9072]) ).

cnf(refute_0_9074,plain,
    product(difference(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(b,a),product(c,b))),difference(product(c,b),c)) )],[refute_0_9070,refute_0_9073]) ).

cnf(refute_0_9075,plain,
    ( product(difference(product(c,b),product(b,a)),product(c,b)) != difference(product(c,b),c)
    | product(difference(product(c,b),product(b,a)),product(c,b)) != product(a,c)
    | difference(product(c,b),c) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(c,b)),product(a,c)) ),[0],$fot(difference(product(c,b),c))]]) ).

cnf(refute_0_9076,plain,
    ( product(difference(product(c,b),product(b,a)),product(c,b)) != product(a,c)
    | difference(product(c,b),c) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(c,b)),difference(product(c,b),c)) )],[refute_0_9074,refute_0_9075]) ).

cnf(refute_0_9077,plain,
    difference(product(c,b),c) = product(a,c),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(c,b)),product(a,c)) )],[refute_0_9066,refute_0_9076]) ).

cnf(refute_0_9078,plain,
    ( bigC(product(c,b),difference(product(c,b),c),X_23) != product(c,product(X_23,product(c,b)))
    | difference(product(c,b),c) != product(a,c)
    | bigC(product(c,b),product(a,c),X_23) = product(c,product(X_23,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),c),X_23),product(c,product(X_23,product(c,b)))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_9079,plain,
    ( bigC(product(c,b),difference(product(c,b),c),X_23) != product(c,product(X_23,product(c,b)))
    | bigC(product(c,b),product(a,c),X_23) = product(c,product(X_23,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),c),product(a,c)) )],[refute_0_9077,refute_0_9078]) ).

cnf(refute_0_9080,plain,
    bigC(product(c,b),product(a,c),X_23) = product(c,product(X_23,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),c),X_23),product(c,product(X_23,product(c,b)))) )],[refute_0_9033,refute_0_9079]) ).

cnf(refute_0_9081,plain,
    product(c,product(X_23,product(c,b))) = bigC(c,X_23,product(a,b)),
    inference(subst,[],[refute_0_7571:[bind(B,$fot(X_23))]]) ).

cnf(refute_0_9082,plain,
    ( bigC(product(c,b),product(a,c),X_23) != product(c,product(X_23,product(c,b)))
    | product(c,product(X_23,product(c,b))) != bigC(c,X_23,product(a,b))
    | bigC(product(c,b),product(a,c),X_23) = bigC(c,X_23,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,c),X_23),bigC(c,X_23,product(a,b))) ),[0],$fot(product(c,product(X_23,product(c,b))))]]) ).

cnf(refute_0_9083,plain,
    ( bigC(product(c,b),product(a,c),X_23) != product(c,product(X_23,product(c,b)))
    | bigC(product(c,b),product(a,c),X_23) = bigC(c,X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,product(c,b))),bigC(c,X_23,product(a,b))) )],[refute_0_9081,refute_0_9082]) ).

cnf(refute_0_9084,plain,
    bigC(product(c,b),product(a,c),X_23) = bigC(c,X_23,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),X_23),product(c,product(X_23,product(c,b)))) )],[refute_0_9080,refute_0_9083]) ).

cnf(refute_0_9085,plain,
    bigC(product(c,b),product(a,c),quotient(A,product(b,a))) = bigC(c,quotient(A,product(b,a)),product(a,b)),
    inference(subst,[],[refute_0_9084:[bind(X_23,$fot(quotient(A,product(b,a))))]]) ).

cnf(refute_0_9086,plain,
    ( bigC(c,quotient(A,product(b,a)),product(a,b)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(c,b),product(a,c),quotient(A,product(b,a))) != bigC(c,quotient(A,product(b,a)),product(a,b))
    | bigC(product(c,b),product(a,c),quotient(A,product(b,a))) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(a,c),quotient(A,product(b,a))))),bind(Y,$fot(bigC(c,quotient(A,product(b,a)),product(a,b)))),bind(Z,$fot(bigC(c,product(a,b),quotient(A,product(b,a)))))]]) ).

cnf(refute_0_9087,plain,
    ( bigC(c,quotient(A,product(b,a)),product(a,b)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(c,b),product(a,c),quotient(A,product(b,a))) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),quotient(A,product(b,a))),bigC(c,quotient(A,product(b,a)),product(a,b))) )],[refute_0_9085,refute_0_9086]) ).

cnf(refute_0_9088,plain,
    bigC(product(c,b),product(a,c),quotient(A,product(b,a))) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(A,product(b,a)),product(a,b)),bigC(c,product(a,b),quotient(A,product(b,a)))) )],[refute_0_9032,refute_0_9087]) ).

cnf(refute_0_9089,plain,
    bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) = bigC(product(c,b),product(a,c),quotient(A,product(b,a))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,c))),bind(C,$fot(quotient(A,product(b,a))))]]) ).

cnf(refute_0_9090,plain,
    ( bigC(product(c,b),product(a,c),quotient(A,product(b,a))) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) != bigC(product(c,b),product(a,c),quotient(A,product(b,a)))
    | bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),quotient(A,product(b,a)),product(a,c)))),bind(Y,$fot(bigC(product(c,b),product(a,c),quotient(A,product(b,a))))),bind(Z,$fot(bigC(c,product(a,b),quotient(A,product(b,a)))))]]) ).

cnf(refute_0_9091,plain,
    ( bigC(product(c,b),product(a,c),quotient(A,product(b,a))) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(A,product(b,a)),product(a,c)),bigC(product(c,b),product(a,c),quotient(A,product(b,a)))) )],[refute_0_9089,refute_0_9090]) ).

cnf(refute_0_9092,plain,
    bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,c),quotient(A,product(b,a))),bigC(c,product(a,b),quotient(A,product(b,a)))) )],[refute_0_9088,refute_0_9091]) ).

cnf(refute_0_9093,plain,
    product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) = bigC(product(c,b),quotient(A,product(b,a)),product(a,c)),
    inference(subst,[],[refute_0_9007:[bind(X_22,$fot(quotient(A,product(b,a))))]]) ).

cnf(refute_0_9094,plain,
    ( bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) != bigC(product(c,b),quotient(A,product(b,a)),product(a,c))
    | product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)))),bind(Y,$fot(bigC(product(c,b),quotient(A,product(b,a)),product(a,c)))),bind(Z,$fot(bigC(c,product(a,b),quotient(A,product(b,a)))))]]) ).

cnf(refute_0_9095,plain,
    ( bigC(product(c,b),quotient(A,product(b,a)),product(a,c)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)),bigC(product(c,b),quotient(A,product(b,a)),product(a,c))) )],[refute_0_9093,refute_0_9094]) ).

cnf(refute_0_9096,plain,
    product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(A,product(b,a)),product(a,c)),bigC(c,product(a,b),quotient(A,product(b,a)))) )],[refute_0_9092,refute_0_9095]) ).

cnf(refute_0_9097,plain,
    product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) = product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)),
    inference(subst,[],[refute_0_9012:[bind(B,$fot(quotient(A,product(b,a)))),bind(D,$fot(b))]]) ).

cnf(refute_0_9098,plain,
    ( product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) != product(product(c,product(c,a)),product(quotient(A,product(b,a)),b))
    | product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),quotient(A,product(b,a))),product(c,b)))),bind(Y,$fot(product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)))),bind(Z,$fot(bigC(c,product(a,b),quotient(A,product(b,a)))))]]) ).

cnf(refute_0_9099,plain,
    ( product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),quotient(A,product(b,a))),product(c,b)),product(product(c,product(c,a)),product(quotient(A,product(b,a)),b))) )],[refute_0_9097,refute_0_9098]) ).

cnf(refute_0_9100,plain,
    product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(quotient(A,product(b,a)),b)),bigC(c,product(a,b),quotient(A,product(b,a)))) )],[refute_0_9096,refute_0_9099]) ).

cnf(refute_0_9101,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = product(product(product(b,a),quotient(A,product(b,a))),product(c,b)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(c,b))),bind(X_21,$fot(product(b,a))),bind(X_22,$fot(quotient(A,product(b,a))))]]) ).

cnf(refute_0_9102,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) != product(product(product(b,a),quotient(A,product(b,a))),product(c,b))
    | product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))))),bind(Y,$fot(product(product(product(b,a),quotient(A,product(b,a))),product(c,b)))),bind(Z,$fot(bigC(c,product(a,b),quotient(A,product(b,a)))))]]) ).

cnf(refute_0_9103,plain,
    ( product(product(product(b,a),quotient(A,product(b,a))),product(c,b)) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))),product(product(product(b,a),quotient(A,product(b,a))),product(c,b))) )],[refute_0_9101,refute_0_9102]) ).

cnf(refute_0_9104,plain,
    bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),quotient(A,product(b,a))),product(c,b)),bigC(c,product(a,b),quotient(A,product(b,a)))) )],[refute_0_9100,refute_0_9103]) ).

cnf(refute_0_9105,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) != bigC(c,product(a,b),quotient(A,product(b,a)))
    | bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) != product(difference(product(b,a),difference(product(b,c),product(b,a))),A)
    | bigC(c,product(a,b),quotient(A,product(b,a))) = product(difference(product(b,a),difference(product(b,c),product(b,a))),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))),product(difference(product(b,a),difference(product(b,c),product(b,a))),A)) ),[0],$fot(bigC(c,product(a,b),quotient(A,product(b,a))))]]) ).

cnf(refute_0_9106,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))) != product(difference(product(b,a),difference(product(b,c),product(b,a))),A)
    | bigC(c,product(a,b),quotient(A,product(b,a))) = product(difference(product(b,a),difference(product(b,c),product(b,a))),A) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))),bigC(c,product(a,b),quotient(A,product(b,a)))) )],[refute_0_9104,refute_0_9105]) ).

cnf(refute_0_9107,plain,
    bigC(c,product(a,b),quotient(A,product(b,a))) = product(difference(product(b,a),difference(product(b,c),product(b,a))),A),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),quotient(A,product(b,a))),product(difference(product(b,a),difference(product(b,c),product(b,a))),A)) )],[refute_0_9031,refute_0_9106]) ).

cnf(refute_0_9108,plain,
    ( bigC(c,product(a,b),quotient(A,product(b,a))) != product(difference(product(b,a),difference(product(b,c),product(b,a))),A)
    | product(difference(product(b,a),difference(product(b,c),product(b,a))),A) = bigC(c,product(a,b),quotient(A,product(b,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(a,b),quotient(A,product(b,a))))),bind(Y,$fot(product(difference(product(b,a),difference(product(b,c),product(b,a))),A)))]]) ).

cnf(refute_0_9109,plain,
    product(difference(product(b,a),difference(product(b,c),product(b,a))),A) = bigC(c,product(a,b),quotient(A,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(A,product(b,a))),product(difference(product(b,a),difference(product(b,c),product(b,a))),A)) )],[refute_0_9107,refute_0_9108]) ).

cnf(refute_0_9110,plain,
    product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) = bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))),
    inference(subst,[],[refute_0_9109:[bind(A,$fot(product(C,product(b,a))))]]) ).

cnf(refute_0_9111,plain,
    ( bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) != bigC(c,product(a,b),C)
    | product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) != bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a)))
    | product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) = bigC(c,product(a,b),C) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))))),bind(Y,$fot(bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))))),bind(Z,$fot(bigC(c,product(a,b),C)))]]) ).

cnf(refute_0_9112,plain,
    ( bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))) != bigC(c,product(a,b),C)
    | product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) = bigC(c,product(a,b),C) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))),bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a)))) )],[refute_0_9110,refute_0_9111]) ).

cnf(refute_0_9113,plain,
    product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) = bigC(c,product(a,b),C),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(product(C,product(b,a)),product(b,a))),bigC(c,product(a,b),C)) )],[refute_0_9027,refute_0_9112]) ).

cnf(refute_0_9114,plain,
    ( bigC(product(c,b),C,product(a,c)) != product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))
    | product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))) != bigC(c,product(a,b),C)
    | bigC(product(c,b),C,product(a,c)) = bigC(c,product(a,b),C) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),C,product(a,c)),bigC(c,product(a,b),C)) ),[0],$fot(product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))))]]) ).

cnf(refute_0_9115,plain,
    ( bigC(product(c,b),C,product(a,c)) != product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))
    | bigC(product(c,b),C,product(a,c)) = bigC(c,product(a,b),C) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a))),bigC(c,product(a,b),C)) )],[refute_0_9113,refute_0_9114]) ).

cnf(refute_0_9116,plain,
    ( bigC(product(b,a),quotient(product(c,b),product(b,a)),C) != product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))
    | bigC(product(c,b),C,product(a,c)) = bigC(c,product(a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),C,product(a,c)),product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))) )],[refute_0_9022,refute_0_9115]) ).

cnf(refute_0_9117,plain,
    bigC(product(c,b),C,product(a,c)) = bigC(c,product(a,b),C),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),quotient(product(c,b),product(b,a)),C),product(difference(product(b,a),difference(product(b,c),product(b,a))),product(C,product(b,a)))) )],[refute_0_8994,refute_0_9116]) ).

cnf(refute_0_9118,plain,
    bigC(product(c,b),X_22,product(a,c)) = bigC(c,product(a,b),X_22),
    inference(subst,[],[refute_0_9117:[bind(C,$fot(X_22))]]) ).

cnf(refute_0_9119,plain,
    product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)))]]) ).

cnf(refute_0_9120,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != bigC(c,product(a,b),X_22)
    | product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) != product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66))
    | product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(bigC(c,product(a,b),X_22),product(X_65,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)),product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66))) ),[1,0],$fot(bigC(c,product(a,b),X_22))]]) ).

cnf(refute_0_9121,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != bigC(c,product(a,b),X_22)
    | product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(bigC(c,product(a,b),X_22),product(X_65,X_66)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)),product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66))) )],[refute_0_9119,refute_0_9120]) ).

cnf(refute_0_9122,plain,
    product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) = product(bigC(c,product(a,b),X_22),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),bigC(c,product(a,b),X_22)) )],[refute_0_9118,refute_0_9121]) ).

cnf(refute_0_9123,plain,
    ( product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) != product(bigC(c,product(a,b),X_22),product(X_65,X_66))
    | product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) != product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))
    | product(bigC(c,product(a,b),X_22),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)),product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))) ),[0],$fot(product(bigC(c,product(a,b),X_22),product(X_65,X_66)))]]) ).

cnf(refute_0_9124,plain,
    ( product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)) != product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))
    | product(bigC(c,product(a,b),X_22),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)),product(bigC(c,product(a,b),X_22),product(X_65,X_66))) )],[refute_0_9122,refute_0_9123]) ).

cnf(refute_0_9125,plain,
    product(bigC(c,product(a,b),X_22),product(X_65,X_66)) = product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),X_22,product(a,c)),product(X_65,X_66)),product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))) )],[refute_0_8984,refute_0_9124]) ).

cnf(refute_0_9126,plain,
    ( product(bigC(c,product(a,b),X_22),product(X_65,X_66)) != product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))
    | product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)) = product(bigC(c,product(a,b),X_22),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(c,product(a,b),X_22),product(X_65,X_66)))),bind(Y,$fot(product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))))]]) ).

cnf(refute_0_9127,plain,
    product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66)) = product(bigC(c,product(a,b),X_22),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),X_22),product(X_65,X_66)),product(product(product(product(c,b),X_22),X_65),product(product(a,b),X_66))) )],[refute_0_9125,refute_0_9126]) ).

cnf(refute_0_9128,plain,
    product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) = product(bigC(c,product(a,b),b),product(X_22,product(c,b))),
    inference(subst,[],[refute_0_9127:[bind(X_22,$fot(b)),bind(X_65,$fot(X_22)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_9129,plain,
    ( product(bigC(c,product(a,b),b),product(X_22,product(c,b))) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) != product(bigC(c,product(a,b),b),product(X_22,product(c,b)))
    | product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))))),bind(Y,$fot(product(bigC(c,product(a,b),b),product(X_22,product(c,b))))),bind(Z,$fot(bigC(product(c,b),X_22,product(c,product(c,b)))))]]) ).

cnf(refute_0_9130,plain,
    ( product(bigC(c,product(a,b),b),product(X_22,product(c,b))) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))),product(bigC(c,product(a,b),b),product(X_22,product(c,b)))) )],[refute_0_9128,refute_0_9129]) ).

cnf(refute_0_9131,plain,
    product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) = bigC(product(c,b),X_22,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(a,b),b),product(X_22,product(c,b))),bigC(product(c,b),X_22,product(c,product(c,b)))) )],[refute_0_8980,refute_0_9130]) ).

cnf(refute_0_9132,plain,
    ( bigC(product(product(c,b),b),X_22,product(a,product(b,c))) != product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))
    | product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))) != bigC(product(c,b),X_22,product(c,product(c,b)))
    | bigC(product(product(c,b),b),X_22,product(a,product(b,c))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),b),X_22,product(a,product(b,c))),bigC(product(c,b),X_22,product(c,product(c,b)))) ),[0],$fot(product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_9133,plain,
    ( bigC(product(product(c,b),b),X_22,product(a,product(b,c))) != product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))
    | bigC(product(product(c,b),b),X_22,product(a,product(b,c))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b))),bigC(product(c,b),X_22,product(c,product(c,b)))) )],[refute_0_9131,refute_0_9132]) ).

cnf(refute_0_9134,plain,
    ( bigC(product(product(c,b),b),X_22,product(product(a,c),c)) != product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))
    | bigC(product(product(c,b),b),X_22,product(a,product(b,c))) = bigC(product(c,b),X_22,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(a,product(b,c))),product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))) )],[refute_0_8964,refute_0_9133]) ).

cnf(refute_0_9135,plain,
    bigC(product(product(c,b),b),X_22,product(a,product(b,c))) = bigC(product(c,b),X_22,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_22,product(product(a,c),c)),product(product(product(product(c,b),b),X_22),product(product(a,b),product(c,b)))) )],[refute_0_8958,refute_0_9134]) ).

cnf(refute_0_9136,plain,
    bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))) = bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))),
    inference(subst,[],[refute_0_9135:[bind(X_22,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_9137,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))) != bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))
    | difference(product(product(c,b),b),bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c)))) != product(product(a,product(b,c)),product(product(c,b),b))
    | difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = product(product(a,product(b,c)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c)))),product(product(a,product(b,c)),product(product(c,b),b))) ),[0,1],$fot(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))))]]) ).

cnf(refute_0_9138,plain,
    ( difference(product(product(c,b),b),bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c)))) != product(product(a,product(b,c)),product(product(c,b),b))
    | difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = product(product(a,product(b,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) )],[refute_0_9136,refute_0_9137]) ).

cnf(refute_0_9139,plain,
    difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = product(product(a,product(b,c)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c)))),product(product(a,product(b,c)),product(product(c,b),b))) )],[refute_0_8954,refute_0_9138]) ).

cnf(refute_0_9140,plain,
    bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))) = product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(c,b),b))),bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_9141,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))) != bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))
    | bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))),product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))) ),[0],$fot(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))))]]) ).

cnf(refute_0_9142,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) )],[refute_0_9136,refute_0_9141]) ).

cnf(refute_0_9143,plain,
    bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),product(a,product(b,c))),product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))) )],[refute_0_9140,refute_0_9142]) ).

cnf(refute_0_9144,plain,
    bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,b))),bind(B,$fot(product(c,product(c,b)))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_9145,plain,
    ( bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b))
    | bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))),product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))) ),[0],$fot(bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)))]]) ).

cnf(refute_0_9146,plain,
    ( bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))),bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b))) )],[refute_0_9144,refute_0_9145]) ).

cnf(refute_0_9147,plain,
    product(product(product(bigC(a,b,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(c,b),
    inference(subst,[],[sos07:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_9148,plain,
    difference(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(bigC(a,b,b),product(c,b)))),bind(X_9,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_9149,plain,
    quotient(bigC(a,b,b),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))) = product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,b),b))),bind(X_16,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_9150,plain,
    product(bigC(a,b,b),difference(bigC(a,b,b),product(c,b))) = product(c,b),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_9151,plain,
    quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(a,c),b))),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,b,b))),bind(X_29,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_9152,plain,
    bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),bigC(a,b,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(quotient(product(product(a,c),b),bigC(a,b,b))))]]) ).

cnf(refute_0_9153,plain,
    difference(bigC(b,a,b),difference(product(product(product(a,c),b),bigC(b,a,b)),bigC(b,a,b))) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(bigC(b,a,b))),bind(X_27,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_9154,plain,
    product(product(product(a,c),b),difference(product(product(a,c),b),product(c,b))) = product(c,b),
    inference(subst,[],[sos02:[bind(A,$fot(product(product(a,c),b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_9155,plain,
    difference(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))) = product(product(c,b),bigC(c,b,a)),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(a,b),product(c,b)))),bind(B,$fot(product(product(c,b),bigC(c,b,a))))]]) ).

cnf(refute_0_9156,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))) != product(product(c,b),bigC(c,b,a))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(c,b)
    | difference(product(product(a,b),product(c,b)),product(c,b)) = product(product(c,b),bigC(c,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))),product(product(c,b),bigC(c,b,a))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_9157,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))) != product(product(c,b),bigC(c,b,a))
    | difference(product(product(a,b),product(c,b)),product(c,b)) = product(product(c,b),bigC(c,b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(c,b)) )],[refute_0_183,refute_0_9156]) ).

cnf(refute_0_9158,plain,
    difference(product(product(a,b),product(c,b)),product(c,b)) = product(product(c,b),bigC(c,b,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))),product(product(c,b),bigC(c,b,a))) )],[refute_0_9155,refute_0_9157]) ).

cnf(refute_0_9159,plain,
    difference(product(product(a,b),product(c,b)),product(c,b)) = difference(product(product(a,b),product(c,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),product(c,b)),product(c,b)))]]) ).

cnf(refute_0_9160,plain,
    ( difference(product(product(a,b),product(c,b)),product(c,b)) != difference(product(product(a,b),product(c,b)),product(c,b))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(product(a,b),product(c,b)),product(c,b)) = difference(product(product(a,c),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(c,b)),difference(product(product(a,b),product(c,b)),product(c,b))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_9161,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(product(a,b),product(c,b)),product(c,b)) = difference(product(product(a,c),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(c,b)),difference(product(product(a,b),product(c,b)),product(c,b))) )],[refute_0_9159,refute_0_9160]) ).

cnf(refute_0_9162,plain,
    difference(product(product(a,b),product(c,b)),product(c,b)) = difference(product(product(a,c),b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_9161]) ).

cnf(refute_0_9163,plain,
    ( difference(product(product(a,b),product(c,b)),product(c,b)) != difference(product(product(a,c),b),product(c,b))
    | difference(product(product(a,b),product(c,b)),product(c,b)) != product(product(c,b),bigC(c,b,a))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),bigC(c,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(c,b)),product(product(c,b),bigC(c,b,a))) ),[0],$fot(difference(product(product(a,c),b),product(c,b)))]]) ).

cnf(refute_0_9164,plain,
    ( difference(product(product(a,b),product(c,b)),product(c,b)) != product(product(c,b),bigC(c,b,a))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),bigC(c,b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(c,b)),difference(product(product(a,c),b),product(c,b))) )],[refute_0_9162,refute_0_9163]) ).

cnf(refute_0_9165,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,b,a))
    | product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),[0],$fot(product(product(c,b),bigC(c,b,a)))]]) ).

cnf(refute_0_9166,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,b,a))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,a)),product(product(c,b),bigC(c,a,b))) )],[refute_0_195,refute_0_9165]) ).

cnf(refute_0_9167,plain,
    ( difference(product(product(a,b),product(c,b)),product(c,b)) != product(product(c,b),bigC(c,b,a))
    | difference(product(product(a,c),b),product(c,b)) = product(product(c,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),product(product(c,b),bigC(c,b,a))) )],[refute_0_9164,refute_0_9166]) ).

cnf(refute_0_9168,plain,
    difference(product(product(a,c),b),product(c,b)) = product(product(c,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(c,b)),product(product(c,b),bigC(c,b,a))) )],[refute_0_9158,refute_0_9167]) ).

cnf(refute_0_9169,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | difference(product(product(a,c),b),product(c,b)) = bigC(c,b,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,c),b),product(c,b)),bigC(c,b,c)) ),[0],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_9170,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | difference(product(product(a,c),b),product(c,b)) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_9169]) ).

cnf(refute_0_9171,plain,
    difference(product(product(a,c),b),product(c,b)) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) )],[refute_0_9168,refute_0_9170]) ).

cnf(refute_0_9172,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(product(a,c),b),product(c,b)) != bigC(c,b,c)
    | difference(product(product(a,c),b),product(c,b)) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),bigC(c,b,c)) ),[1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9173,plain,
    ( difference(product(product(a,c),b),product(c,b)) != bigC(c,b,c)
    | difference(product(product(a,c),b),product(c,b)) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_9172]) ).

cnf(refute_0_9174,plain,
    difference(product(product(a,c),b),product(c,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),bigC(c,b,c)) )],[refute_0_9171,refute_0_9173]) ).

cnf(refute_0_9175,plain,
    ( difference(product(product(a,c),b),product(c,b)) != bigC(b,a,b)
    | product(product(product(a,c),b),difference(product(product(a,c),b),product(c,b))) != product(c,b)
    | product(product(product(a,c),b),bigC(b,a,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(a,c),b),product(c,b))),product(c,b)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9176,plain,
    ( product(product(product(a,c),b),difference(product(product(a,c),b),product(c,b))) != product(c,b)
    | product(product(product(a,c),b),bigC(b,a,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),bigC(b,a,b)) )],[refute_0_9174,refute_0_9175]) ).

cnf(refute_0_9177,plain,
    product(product(product(a,c),b),bigC(b,a,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(a,c),b),product(c,b))),product(c,b)) )],[refute_0_9154,refute_0_9176]) ).

cnf(refute_0_9178,plain,
    ( difference(bigC(b,a,b),difference(product(product(product(a,c),b),bigC(b,a,b)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(product(product(a,c),b),bigC(b,a,b)) != product(c,b)
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),difference(product(product(product(a,c),b),bigC(b,a,b)),bigC(b,a,b))),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) ),[0,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_9179,plain,
    ( difference(bigC(b,a,b),difference(product(product(product(a,c),b),bigC(b,a,b)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(c,b)) )],[refute_0_9177,refute_0_9178]) ).

cnf(refute_0_9180,plain,
    difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(product(product(product(a,c),b),bigC(b,a,b)),bigC(b,a,b))),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) )],[refute_0_9153,refute_0_9179]) ).

cnf(refute_0_9181,plain,
    difference(bigC(b,a,b),bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))) = product(bigC(a,a,c),bigC(b,a,b)),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(bigC(b,a,b))),bind(X_37,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_9182,plain,
    ( bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)) != c
    | difference(bigC(b,a,b),bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))) != product(bigC(a,a,c),bigC(b,a,b))
    | difference(bigC(b,a,b),c) = product(bigC(a,a,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))),product(bigC(a,a,c),bigC(b,a,b))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_9183,plain,
    ( difference(bigC(b,a,b),bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))) != product(bigC(a,a,c),bigC(b,a,b))
    | difference(bigC(b,a,b),c) = product(bigC(a,a,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b)),c) )],[refute_0_8340,refute_0_9182]) ).

cnf(refute_0_9184,plain,
    difference(bigC(b,a,b),c) = product(bigC(a,a,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),bigC(bigC(b,a,b),bigC(a,a,c),bigC(b,a,b))),product(bigC(a,a,c),bigC(b,a,b))) )],[refute_0_9181,refute_0_9183]) ).

cnf(refute_0_9185,plain,
    ( difference(bigC(b,a,b),c) != product(bigC(a,a,c),bigC(b,a,b))
    | product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | difference(bigC(b,a,b),c) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) ),[0],$fot(product(bigC(a,a,c),bigC(b,a,b)))]]) ).

cnf(refute_0_9186,plain,
    ( difference(bigC(b,a,b),c) != product(bigC(a,a,c),bigC(b,a,b))
    | difference(bigC(b,a,b),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_620,refute_0_9185]) ).

cnf(refute_0_9187,plain,
    difference(bigC(b,a,b),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(bigC(a,a,c),bigC(b,a,b))) )],[refute_0_9184,refute_0_9186]) ).

cnf(refute_0_9188,plain,
    difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))))]]) ).

cnf(refute_0_9189,plain,
    ( difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) != difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b)))
    | difference(product(c,b),bigC(b,a,b)) != c
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_9190,plain,
    ( difference(product(c,b),bigC(b,a,b)) != c
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b)))) )],[refute_0_9188,refute_0_9189]) ).

cnf(refute_0_9191,plain,
    difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = difference(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1318,refute_0_9190]) ).

cnf(refute_0_9192,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) != difference(bigC(b,a,b),c)
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))))),bind(Y,$fot(difference(bigC(b,a,b),c))),bind(Z,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_9193,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),difference(bigC(b,a,b),c)) )],[refute_0_9191,refute_0_9192]) ).

cnf(refute_0_9194,plain,
    difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_9187,refute_0_9193]) ).

cnf(refute_0_9195,plain,
    ( difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) != product(a,product(b,c))
    | difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(a,product(b,c)) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9196,plain,
    ( difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(a,product(b,c)) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),product(a,product(b,c))) )],[refute_0_9194,refute_0_9195]) ).

cnf(refute_0_9197,plain,
    product(a,product(b,c)) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(product(c,b),bigC(b,a,b))),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) )],[refute_0_9180,refute_0_9196]) ).

cnf(refute_0_9198,plain,
    quotient(product(product(a,c),b),bigC(b,a,b)) = quotient(product(product(a,c),b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),b),bigC(b,a,b)))]]) ).

cnf(refute_0_9199,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(product(product(a,c),b),bigC(b,a,b)) != quotient(product(product(a,c),b),bigC(b,a,b))
    | quotient(product(product(a,c),b),bigC(b,a,b)) = quotient(product(product(a,c),b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),bigC(b,a,b)),quotient(product(product(a,c),b),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9200,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(product(product(a,c),b),bigC(b,a,b)) = quotient(product(product(a,c),b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),bigC(b,a,b)),quotient(product(product(a,c),b),bigC(b,a,b))) )],[refute_0_9198,refute_0_9199]) ).

cnf(refute_0_9201,plain,
    quotient(product(product(a,c),b),bigC(b,a,b)) = quotient(product(product(a,c),b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9200]) ).

cnf(refute_0_9202,plain,
    product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))))]]) ).

cnf(refute_0_9203,plain,
    ( product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) != product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | quotient(product(product(a,c),b),bigC(b,a,b)) != quotient(product(product(a,c),b),bigC(a,b,b))
    | product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b)))) ),[1,1],$fot(quotient(product(product(a,c),b),bigC(a,b,b)))]]) ).

cnf(refute_0_9204,plain,
    ( quotient(product(product(a,c),b),bigC(b,a,b)) != quotient(product(product(a,c),b),bigC(a,b,b))
    | product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b)))) )],[refute_0_9202,refute_0_9203]) ).

cnf(refute_0_9205,plain,
    product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),bigC(b,a,b)),quotient(product(product(a,c),b),bigC(a,b,b))) )],[refute_0_9201,refute_0_9204]) ).

cnf(refute_0_9206,plain,
    product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))))]]) ).

cnf(refute_0_9207,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9208,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) )],[refute_0_9206,refute_0_9207]) ).

cnf(refute_0_9209,plain,
    product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9208]) ).

cnf(refute_0_9210,plain,
    ( product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) != product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) != product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))))),bind(Y,$fot(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))))),bind(Z,$fot(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))))]]) ).

cnf(refute_0_9211,plain,
    ( product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))) != product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b)))) )],[refute_0_9209,refute_0_9210]) ).

cnf(refute_0_9212,plain,
    product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9205,refute_0_9211]) ).

cnf(refute_0_9213,plain,
    ( product(a,product(b,c)) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))) != product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))
    | product(a,product(b,c)) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,c)),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))) ),[0],$fot(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))))]]) ).

cnf(refute_0_9214,plain,
    ( product(a,product(b,c)) != product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))
    | product(a,product(b,c)) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b))),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9212,refute_0_9213]) ).

cnf(refute_0_9215,plain,
    product(a,product(b,c)) = product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(bigC(b,a,b),quotient(product(product(a,c),b),bigC(b,a,b)))) )],[refute_0_9197,refute_0_9214]) ).

cnf(refute_0_9216,plain,
    ( product(a,product(b,c)) != product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))
    | product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))))]]) ).

cnf(refute_0_9217,plain,
    product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9215,refute_0_9216]) ).

cnf(refute_0_9218,plain,
    ( bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),bigC(a,b,b))
    | product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))) != product(a,product(b,c))
    | bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)),product(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),bigC(a,b,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9219,plain,
    ( bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),bigC(a,b,b))
    | bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),product(a,product(b,c))) )],[refute_0_9217,refute_0_9218]) ).

cnf(refute_0_9220,plain,
    bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(product(a,product(b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)),product(product(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b))),bigC(a,b,b))) )],[refute_0_9152,refute_0_9219]) ).

cnf(refute_0_9221,plain,
    product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b)) = product(bigC(a,b,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(bigC(a,b,b))),bind(X_65,$fot(product(a,c))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_9222,plain,
    product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) = product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(a,c))),bind(C,$fot(bigC(a,b,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_9223,plain,
    ( product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) != product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b))
    | product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b)) != product(bigC(a,b,b),product(product(a,c),b))
    | product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) = product(bigC(a,b,b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)))),bind(Y,$fot(product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b)))),bind(Z,$fot(product(bigC(a,b,b),product(product(a,c),b))))]]) ).

cnf(refute_0_9224,plain,
    ( product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b)) != product(bigC(a,b,b),product(product(a,c),b))
    | product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) = product(bigC(a,b,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)),product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b))) )],[refute_0_9222,refute_0_9223]) ).

cnf(refute_0_9225,plain,
    product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) = product(bigC(a,b,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(a,c)),product(bigC(a,b,b),b)),product(bigC(a,b,b),product(product(a,c),b))) )],[refute_0_9221,refute_0_9224]) ).

cnf(refute_0_9226,plain,
    bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(product(a,c),b))),bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_9227,plain,
    ( bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b))
    | product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) != product(bigC(a,b,b),product(product(a,c),b))
    | bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)))),bind(Z,$fot(product(bigC(a,b,b),product(product(a,c),b))))]]) ).

cnf(refute_0_9228,plain,
    ( product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)) != product(bigC(a,b,b),product(product(a,c),b))
    | bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)),product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b))) )],[refute_0_9226,refute_0_9227]) ).

cnf(refute_0_9229,plain,
    bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,b,b)),product(product(a,c),b)),product(bigC(a,b,b),product(product(a,c),b))) )],[refute_0_9225,refute_0_9228]) ).

cnf(refute_0_9230,plain,
    ( bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(product(a,c),b))
    | bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(bigC(a,b,b),product(product(a,c),b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)),product(product(a,product(b,c)),bigC(a,b,b))) ),[0],$fot(product(bigC(a,b,b),product(product(a,c),b)))]]) ).

cnf(refute_0_9231,plain,
    ( bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(bigC(a,b,b),product(product(a,c),b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(product(a,c),b))) )],[refute_0_9229,refute_0_9230]) ).

cnf(refute_0_9232,plain,
    product(product(product(a,c),b),difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(product(a,c),b))),bind(B,$fot(product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9233,plain,
    difference(product(product(product(a,c),c),product(product(c,b),b)),bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c))) = product(product(product(a,c),c),product(product(a,c),c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(product(a,c),c))),bind(X_22,$fot(product(product(c,b),b))),bind(X_23,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_9234,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(product(a,c),c),product(product(c,b),b)),product(X_23,product(product(a,c),c))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(product(product(c,b),b))),bind(C,$fot(X_23))]]) ).

cnf(refute_0_9235,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(product(a,c),c),product(product(c,b),b)),product(X_23,product(product(a,c),c)))
    | product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(product(a,c),c),product(product(c,b),b)),product(X_23,product(product(a,c),c)))) ),[1,0],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_9236,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(product(a,c),c),product(product(c,b),b)),product(X_23,product(product(a,c),c)))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,b),product(c,b))) )],[refute_0_7308,refute_0_9235]) ).

cnf(refute_0_9237,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(product(a,c),c),product(product(c,b),b)),product(X_23,product(product(a,c),c)))) )],[refute_0_9234,refute_0_9236]) ).

cnf(refute_0_9238,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(product(a,b),product(c,b)),product(product(product(a,c),c),product(product(a,c),c))),
    inference(subst,[],[refute_0_9237:[bind(X_23,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_9239,plain,
    product(product(product(a,c),c),product(product(a,c),c)) = product(product(a,c),c),
    inference(subst,[],[sos06:[bind(A,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_9240,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) != product(product(product(a,b),product(c,b)),product(product(product(a,c),c),product(product(a,c),c)))
    | product(product(product(a,c),c),product(product(a,c),c)) != product(product(a,c),c)
    | bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(product(a,b),product(c,b)),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)),product(product(product(a,b),product(c,b)),product(product(product(a,c),c),product(product(a,c),c)))) ),[1,1],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_9241,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) != product(product(product(a,b),product(c,b)),product(product(product(a,c),c),product(product(a,c),c)))
    | bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(product(a,b),product(c,b)),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,c),c)),product(product(a,c),c)) )],[refute_0_9239,refute_0_9240]) ).

cnf(refute_0_9242,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(product(a,b),product(c,b)),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)),product(product(product(a,b),product(c,b)),product(product(product(a,c),c),product(product(a,c),c)))) )],[refute_0_9238,refute_0_9241]) ).

cnf(refute_0_9243,plain,
    product(product(a,product(b,c)),product(product(c,b),c)) = product(product(a,product(b,c)),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),product(product(c,b),c)))]]) ).

cnf(refute_0_9244,plain,
    ( product(product(a,product(b,c)),product(product(c,b),c)) != product(product(a,product(b,c)),product(product(c,b),c))
    | product(product(c,b),c) != bigC(c,b,c)
    | product(product(a,product(b,c)),product(product(c,b),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),c)),product(product(a,product(b,c)),product(product(c,b),c))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_9245,plain,
    ( product(product(c,b),c) != bigC(c,b,c)
    | product(product(a,product(b,c)),product(product(c,b),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),c)),product(product(a,product(b,c)),product(product(c,b),c))) )],[refute_0_9243,refute_0_9244]) ).

cnf(refute_0_9246,plain,
    product(product(a,product(b,c)),product(product(c,b),c)) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_395,refute_0_9245]) ).

cnf(refute_0_9247,plain,
    product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(product(a,b),product(a,c)),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(a,c)),product(product(c,b),c)))]]) ).

cnf(refute_0_9248,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | product(product(product(a,b),product(a,c)),product(product(c,b),c)) != product(product(product(a,b),product(a,c)),product(product(c,b),c))
    | product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(a,product(b,c)),product(product(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(product(c,b),c)),product(product(product(a,b),product(a,c)),product(product(c,b),c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_9249,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(a,product(b,c)),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(product(c,b),c)),product(product(product(a,b),product(a,c)),product(product(c,b),c))) )],[refute_0_9247,refute_0_9248]) ).

cnf(refute_0_9250,plain,
    product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(a,product(b,c)),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_9249]) ).

cnf(refute_0_9251,plain,
    ( product(product(a,product(b,c)),product(product(c,b),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(product(a,b),product(a,c)),product(product(c,b),c)) != product(product(a,product(b,c)),product(product(c,b),c))
    | product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(a,c)),product(product(c,b),c)))),bind(Y,$fot(product(product(a,product(b,c)),product(product(c,b),c)))),bind(Z,$fot(product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9252,plain,
    ( product(product(a,product(b,c)),product(product(c,b),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(product(c,b),c)),product(product(a,product(b,c)),product(product(c,b),c))) )],[refute_0_9250,refute_0_9251]) ).

cnf(refute_0_9253,plain,
    product(product(product(a,b),product(a,c)),product(product(c,b),c)) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),c)),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9246,refute_0_9252]) ).

cnf(refute_0_9254,plain,
    product(product(product(a,b),product(c,b)),product(product(a,c),c)) = product(product(product(a,b),product(a,c)),product(product(c,b),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,c))),bind(C,$fot(product(c,b))),bind(D,$fot(c))]]) ).

cnf(refute_0_9255,plain,
    ( product(product(product(a,b),product(a,c)),product(product(c,b),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(product(a,b),product(c,b)),product(product(a,c),c)) != product(product(product(a,b),product(a,c)),product(product(c,b),c))
    | product(product(product(a,b),product(c,b)),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(product(a,c),c)))),bind(Y,$fot(product(product(product(a,b),product(a,c)),product(product(c,b),c)))),bind(Z,$fot(product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9256,plain,
    ( product(product(product(a,b),product(a,c)),product(product(c,b),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(product(a,b),product(c,b)),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(a,c),c)),product(product(product(a,b),product(a,c)),product(product(c,b),c))) )],[refute_0_9254,refute_0_9255]) ).

cnf(refute_0_9257,plain,
    product(product(product(a,b),product(c,b)),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(product(c,b),c)),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9253,refute_0_9256]) ).

cnf(refute_0_9258,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) != product(product(product(a,b),product(c,b)),product(product(a,c),c))
    | product(product(product(a,b),product(c,b)),product(product(a,c),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)),product(product(a,product(b,c)),bigC(c,b,c))) ),[0],$fot(product(product(product(a,b),product(c,b)),product(product(a,c),c)))]]) ).

cnf(refute_0_9259,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) != product(product(product(a,b),product(c,b)),product(product(a,c),c))
    | bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(a,c),c)),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9257,refute_0_9258]) ).

cnf(refute_0_9260,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)),product(product(product(a,b),product(c,b)),product(product(a,c),c))) )],[refute_0_9242,refute_0_9259]) ).

cnf(refute_0_9261,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | difference(product(product(product(a,c),c),product(product(c,b),b)),bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c))) != product(product(product(a,c),c),product(product(a,c),c))
    | difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(product(a,c),c),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c))),product(product(product(a,c),c),product(product(a,c),c))) ),[0,1],$fot(product(product(a,product(b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_9262,plain,
    ( difference(product(product(product(a,c),c),product(product(c,b),b)),bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c))) != product(product(product(a,c),c),product(product(a,c),c))
    | difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(product(a,c),c),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c)),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9260,refute_0_9261]) ).

cnf(refute_0_9263,plain,
    difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(product(a,c),c),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),bigC(product(product(a,c),c),product(product(c,b),b),product(product(a,c),c))),product(product(product(a,c),c),product(product(a,c),c))) )],[refute_0_9233,refute_0_9262]) ).

cnf(refute_0_9264,plain,
    difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9265,plain,
    ( difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) != difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c)))
    | product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))),difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c)))) ),[1,0],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_9266,plain,
    ( product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))),difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c)))) )],[refute_0_9264,refute_0_9265]) ).

cnf(refute_0_9267,plain,
    difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,b),product(c,b))) )],[refute_0_7308,refute_0_9266]) ).

cnf(refute_0_9268,plain,
    ( difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) != difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))
    | difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(product(a,c),c),product(product(a,c),c))
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(product(a,c),c),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(product(a,c),c),product(product(a,c),c))) ),[0],$fot(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9269,plain,
    ( difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(product(a,c),c),product(product(a,c),c))
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(product(a,c),c),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))) )],[refute_0_9267,refute_0_9268]) ).

cnf(refute_0_9270,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(product(a,c),c),product(product(a,c),c))
    | product(product(product(a,c),c),product(product(a,c),c)) != product(product(a,c),c)
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(a,c),c)) ),[0],$fot(product(product(product(a,c),c),product(product(a,c),c)))]]) ).

cnf(refute_0_9271,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(product(a,c),c),product(product(a,c),c))
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,c),c)),product(product(a,c),c)) )],[refute_0_9239,refute_0_9270]) ).

cnf(refute_0_9272,plain,
    ( difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(product(a,c),c),product(product(a,c),c))
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(product(a,c),c),product(product(a,c),c))) )],[refute_0_9269,refute_0_9271]) ).

cnf(refute_0_9273,plain,
    difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(product(a,c),c),product(product(a,c),c))) )],[refute_0_9263,refute_0_9272]) ).

cnf(refute_0_9274,plain,
    difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9275,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_9276,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))) )],[refute_0_9274,refute_0_9275]) ).

cnf(refute_0_9277,plain,
    difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) = difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_9276]) ).

cnf(refute_0_9278,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))
    | difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(a,c),c)
    | difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(a,c),c)) ),[0],$fot(difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_9279,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(a,c),c)
    | difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))) )],[refute_0_9277,refute_0_9278]) ).

cnf(refute_0_9280,plain,
    difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(a,c),c)) )],[refute_0_9273,refute_0_9279]) ).

cnf(refute_0_9281,plain,
    ( difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(a,c),c)
    | product(product(product(a,c),b),difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))),product(product(a,product(b,c)),bigC(c,b,c))) ),[0,1],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_9282,plain,
    ( product(product(product(a,c),b),difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c))),product(product(a,c),c)) )],[refute_0_9280,refute_0_9281]) ).

cnf(refute_0_9283,plain,
    product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(a,c),b),product(product(a,product(b,c)),bigC(c,b,c)))),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9232,refute_0_9282]) ).

cnf(refute_0_9284,plain,
    product(product(a,c),product(b,c)) = product(product(a,b),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_9285,plain,
    product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,c),product(b,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(product(a,c))),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_9286,plain,
    ( product(product(a,c),product(b,c)) != product(product(a,b),c)
    | product(product(product(a,c),b),product(product(a,c),c)) != product(product(a,c),product(b,c))
    | product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(product(a,c),c)))),bind(Y,$fot(product(product(a,c),product(b,c)))),bind(Z,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_9287,plain,
    ( product(product(a,c),product(b,c)) != product(product(a,b),c)
    | product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,c),c)),product(product(a,c),product(b,c))) )],[refute_0_9285,refute_0_9286]) ).

cnf(refute_0_9288,plain,
    product(product(product(a,c),b),product(product(a,c),c)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(b,c)),product(product(a,b),c)) )],[refute_0_9284,refute_0_9287]) ).

cnf(refute_0_9289,plain,
    ( product(product(product(a,c),b),product(product(a,c),c)) != product(product(a,b),c)
    | product(product(product(a,c),b),product(product(a,c),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(a,b),c) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),product(product(a,c),c)),product(product(a,product(b,c)),bigC(c,b,c))) ),[0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_9290,plain,
    ( product(product(product(a,c),b),product(product(a,c),c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(a,b),c) = product(product(a,product(b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,c),c)),product(product(a,b),c)) )],[refute_0_9288,refute_0_9289]) ).

cnf(refute_0_9291,plain,
    product(product(a,b),c) = product(product(a,product(b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,c),c)),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9283,refute_0_9290]) ).

cnf(refute_0_9292,plain,
    product(product(a,product(b,c)),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_9293,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(a,product(b,c)),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,product(b,c)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9294,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(a,product(b,c)),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9292,refute_0_9293]) ).

cnf(refute_0_9295,plain,
    product(product(a,product(b,c)),bigC(c,b,c)) = product(product(a,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_9294]) ).

cnf(refute_0_9296,plain,
    ( product(product(a,b),c) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,product(b,c)),bigC(b,a,b))
    | product(product(a,b),c) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),c),product(product(a,product(b,c)),bigC(b,a,b))) ),[0],$fot(product(product(a,product(b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_9297,plain,
    ( product(product(a,b),c) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(a,b),c) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,product(b,c)),bigC(b,a,b))) )],[refute_0_9295,refute_0_9296]) ).

cnf(refute_0_9298,plain,
    product(product(a,b),c) = product(product(a,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9291,refute_0_9297]) ).

cnf(refute_0_9299,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(a,b),c) != product(product(a,product(b,c)),bigC(b,a,b))
    | product(c,product(c,b)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),c),product(product(a,product(b,c)),bigC(b,a,b))) ),[0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9300,plain,
    ( product(product(a,b),c) != product(product(a,product(b,c)),bigC(b,a,b))
    | product(c,product(c,b)) = product(product(a,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_9299]) ).

cnf(refute_0_9301,plain,
    product(c,product(c,b)) = product(product(a,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(product(a,product(b,c)),bigC(b,a,b))) )],[refute_0_9298,refute_0_9300]) ).

cnf(refute_0_9302,plain,
    product(product(a,product(b,c)),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_9303,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(a,product(b,c)),bigC(b,a,b)) != product(product(a,product(b,c)),bigC(b,a,b))
    | product(product(a,product(b,c)),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(product(a,product(b,c)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9304,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(a,product(b,c)),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(product(a,product(b,c)),bigC(b,a,b))) )],[refute_0_9302,refute_0_9303]) ).

cnf(refute_0_9305,plain,
    product(product(a,product(b,c)),bigC(b,a,b)) = product(product(a,product(b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9304]) ).

cnf(refute_0_9306,plain,
    ( product(c,product(c,b)) != product(product(a,product(b,c)),bigC(b,a,b))
    | product(product(a,product(b,c)),bigC(b,a,b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(c,product(c,b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,b)),product(product(a,product(b,c)),bigC(a,b,b))) ),[0],$fot(product(product(a,product(b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_9307,plain,
    ( product(c,product(c,b)) != product(product(a,product(b,c)),bigC(b,a,b))
    | product(c,product(c,b)) = product(product(a,product(b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(b,a,b)),product(product(a,product(b,c)),bigC(a,b,b))) )],[refute_0_9305,refute_0_9306]) ).

cnf(refute_0_9308,plain,
    product(c,product(c,b)) = product(product(a,product(b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),product(product(a,product(b,c)),bigC(b,a,b))) )],[refute_0_9301,refute_0_9307]) ).

cnf(refute_0_9309,plain,
    ( product(c,product(c,b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(product(a,product(b,c)),bigC(a,b,b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,b)))),bind(Y,$fot(product(product(a,product(b,c)),bigC(a,b,b))))]]) ).

cnf(refute_0_9310,plain,
    product(product(a,product(b,c)),bigC(a,b,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),product(product(a,product(b,c)),bigC(a,b,b))) )],[refute_0_9308,refute_0_9309]) ).

cnf(refute_0_9311,plain,
    ( product(bigC(a,b,b),product(product(a,c),b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(product(a,product(b,c)),bigC(a,b,b)) != product(c,product(c,b))
    | product(bigC(a,b,b),product(product(a,c),b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),product(product(a,c),b)),product(c,product(c,b))) ),[0],$fot(product(product(a,product(b,c)),bigC(a,b,b)))]]) ).

cnf(refute_0_9312,plain,
    ( product(bigC(a,b,b),product(product(a,c),b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(bigC(a,b,b),product(product(a,c),b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,b,b)),product(c,product(c,b))) )],[refute_0_9310,refute_0_9311]) ).

cnf(refute_0_9313,plain,
    ( bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(a,product(b,c)),bigC(a,b,b))
    | product(bigC(a,b,b),product(product(a,c),b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,product(b,c)),bigC(a,b,b))) )],[refute_0_9231,refute_0_9312]) ).

cnf(refute_0_9314,plain,
    product(bigC(a,b,b),product(product(a,c),b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(product(a,c),b),bigC(a,b,b)),bigC(a,b,b)),product(product(a,product(b,c)),bigC(a,b,b))) )],[refute_0_9220,refute_0_9313]) ).

cnf(refute_0_9315,plain,
    ( product(bigC(a,b,b),product(product(a,c),b)) != product(c,product(c,b))
    | quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(a,c),b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(a,c),b))),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) ),[0,0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9316,plain,
    ( quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(a,c),b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(a,c),b)),product(c,product(c,b))) )],[refute_0_9314,refute_0_9315]) ).

cnf(refute_0_9317,plain,
    quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(a,c),b))),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9151,refute_0_9316]) ).

cnf(refute_0_9318,plain,
    quotient(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(c,b),b),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(c,b),b))),bind(B,$fot(product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_9319,plain,
    difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(product(a,b),product(c,b)),product(product(c,b),b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(product(a,b),product(c,b)))),bind(X_20,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_9320,plain,
    ( difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(product(a,b),product(c,b)),product(product(c,b),b))))
    | quotient(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(a,c),c)
    | difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(product(a,b),product(c,b)),product(product(c,b),b))))) ),[1,1,1],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_9321,plain,
    ( difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(product(a,b),product(c,b)),product(product(c,b),b))))
    | difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(a,c),c)) )],[refute_0_7855,refute_0_9320]) ).

cnf(refute_0_9322,plain,
    difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(product(a,b),product(c,b)),product(product(c,b),b))))) )],[refute_0_9319,refute_0_9321]) ).

cnf(refute_0_9323,plain,
    product(product(a,b),product(b,b)) = product(product(a,b),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_9324,plain,
    product(product(product(a,c),b),product(product(c,b),b)) = product(product(a,b),product(b,b)),
    inference(subst,[],[refute_0_189:[bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_9325,plain,
    ( product(product(a,b),product(b,b)) != product(product(a,b),b)
    | product(product(product(a,c),b),product(product(c,b),b)) != product(product(a,b),product(b,b))
    | product(product(product(a,c),b),product(product(c,b),b)) = product(product(a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(product(c,b),b)))),bind(Y,$fot(product(product(a,b),product(b,b)))),bind(Z,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_9326,plain,
    ( product(product(a,b),product(b,b)) != product(product(a,b),b)
    | product(product(product(a,c),b),product(product(c,b),b)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(c,b),b)),product(product(a,b),product(b,b))) )],[refute_0_9324,refute_0_9325]) ).

cnf(refute_0_9327,plain,
    product(product(product(a,c),b),product(product(c,b),b)) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,b)),product(product(a,b),b)) )],[refute_0_9323,refute_0_9326]) ).

cnf(refute_0_9328,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(product(a,b),product(c,b)),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(c,b)),product(product(c,b),b)))]]) ).

cnf(refute_0_9329,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(product(a,b),product(c,b)),product(product(c,b),b))
    | product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(product(a,c),b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(product(a,b),product(c,b)),product(product(c,b),b))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_9330,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(product(a,c),b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(product(a,b),product(c,b)),product(product(c,b),b))) )],[refute_0_9328,refute_0_9329]) ).

cnf(refute_0_9331,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(product(a,c),b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_9330]) ).

cnf(refute_0_9332,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(product(a,c),b),product(product(c,b),b))
    | product(product(product(a,c),b),product(product(c,b),b)) != product(product(a,b),b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(product(c,b),b)))),bind(Y,$fot(product(product(product(a,c),b),product(product(c,b),b)))),bind(Z,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_9333,plain,
    ( product(product(product(a,c),b),product(product(c,b),b)) != product(product(a,b),b)
    | product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(product(a,c),b),product(product(c,b),b))) )],[refute_0_9331,refute_0_9332]) ).

cnf(refute_0_9334,plain,
    product(product(product(a,b),product(c,b)),product(product(c,b),b)) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(c,b),b)),product(product(a,b),b)) )],[refute_0_9327,refute_0_9333]) ).

cnf(refute_0_9335,plain,
    difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)))]]) ).

cnf(refute_0_9336,plain,
    ( difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b))
    | product(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(a,b),b)
    | difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(a,b),b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b))) ),[1,0],$fot(product(product(a,b),b))]]) ).

cnf(refute_0_9337,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),b)) != product(product(a,b),b)
    | difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(a,b),b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_9335,refute_0_9336]) ).

cnf(refute_0_9338,plain,
    difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(a,b),b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(a,b),b)) )],[refute_0_9334,refute_0_9337]) ).

cnf(refute_0_9339,plain,
    ( difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != difference(product(product(a,b),b),product(product(c,b),b))
    | difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))
    | difference(product(product(a,b),b),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))) ),[0],$fot(difference(product(product(a,b),b),product(product(c,b),b)))]]) ).

cnf(refute_0_9340,plain,
    ( difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))
    | difference(product(product(a,b),b),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),difference(product(product(a,b),b),product(product(c,b),b))) )],[refute_0_9338,refute_0_9339]) ).

cnf(refute_0_9341,plain,
    product(bigC(c,b,a),product(b,c)) = product(bigC(c,b,a),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,a),product(b,c)))]]) ).

cnf(refute_0_9342,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(b,c)) != product(bigC(c,b,a),product(b,c))
    | product(bigC(c,b,a),product(b,c)) = product(bigC(c,a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,a),product(b,c)),product(bigC(c,b,a),product(b,c))) ),[1,0],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_9343,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | product(bigC(c,b,a),product(b,c)) = product(bigC(c,a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(b,c)),product(bigC(c,b,a),product(b,c))) )],[refute_0_9341,refute_0_9342]) ).

cnf(refute_0_9344,plain,
    product(bigC(c,b,a),product(b,c)) = product(bigC(c,a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_9343]) ).

cnf(refute_0_9345,plain,
    product(product(product(c,b),b),product(product(a,c),c)) = product(bigC(c,b,a),product(b,c)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_9346,plain,
    ( product(bigC(c,b,a),product(b,c)) != product(bigC(c,a,b),product(b,c))
    | product(product(product(c,b),b),product(product(a,c),c)) != product(bigC(c,b,a),product(b,c))
    | product(product(product(c,b),b),product(product(a,c),c)) = product(bigC(c,a,b),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(product(a,c),c)))),bind(Y,$fot(product(bigC(c,b,a),product(b,c)))),bind(Z,$fot(product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_9347,plain,
    ( product(bigC(c,b,a),product(b,c)) != product(bigC(c,a,b),product(b,c))
    | product(product(product(c,b),b),product(product(a,c),c)) = product(bigC(c,a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,c),c)),product(bigC(c,b,a),product(b,c))) )],[refute_0_9345,refute_0_9346]) ).

cnf(refute_0_9348,plain,
    product(product(product(c,b),b),product(product(a,c),c)) = product(bigC(c,a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(b,c)),product(bigC(c,a,b),product(b,c))) )],[refute_0_9344,refute_0_9347]) ).

cnf(refute_0_9349,plain,
    product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) = product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))))]]) ).

cnf(refute_0_9350,plain,
    ( product(product(product(c,b),b),product(product(a,c),c)) != product(bigC(c,a,b),product(b,c))
    | product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) != product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))
    | product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))),product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))) ),[1,1],$fot(product(bigC(c,a,b),product(b,c)))]]) ).

cnf(refute_0_9351,plain,
    ( product(product(product(c,b),b),product(product(a,c),c)) != product(bigC(c,a,b),product(b,c))
    | product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))),product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))) )],[refute_0_9349,refute_0_9350]) ).

cnf(refute_0_9352,plain,
    product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,c),c)),product(bigC(c,a,b),product(b,c))) )],[refute_0_9348,refute_0_9351]) ).

cnf(refute_0_9353,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))
    | product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))) != product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))
    | difference(product(product(a,b),b),product(product(c,b),b)) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,b),b),product(product(c,b),b)),product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))) ),[0],$fot(product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))))]]) ).

cnf(refute_0_9354,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))
    | difference(product(product(a,b),b),product(product(c,b),b)) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c))),product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9352,refute_0_9353]) ).

cnf(refute_0_9355,plain,
    ( difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))
    | difference(product(product(a,b),b),product(product(c,b),b)) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))) )],[refute_0_9340,refute_0_9354]) ).

cnf(refute_0_9356,plain,
    difference(product(product(a,b),b),product(product(c,b),b)) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),product(c,b)),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),product(product(a,c),c)))) )],[refute_0_9322,refute_0_9355]) ).

cnf(refute_0_9357,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = difference(product(product(a,b),b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(product(a,b),b),product(product(c,b),b)))),bind(Y,$fot(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))))]]) ).

cnf(refute_0_9358,plain,
    product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = difference(product(product(a,b),b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9356,refute_0_9357]) ).

cnf(refute_0_9359,plain,
    ( product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != difference(product(product(a,b),b),product(product(c,b),b))
    | quotient(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(c,b),b)
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(c,b),b)) ),[0,0],$fot(difference(product(product(a,b),b),product(product(c,b),b)))]]) ).

cnf(refute_0_9360,plain,
    ( quotient(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(c,b),b)
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),difference(product(product(a,b),b),product(product(c,b),b))) )],[refute_0_9358,refute_0_9359]) ).

cnf(refute_0_9361,plain,
    quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(c,b),b)) )],[refute_0_9318,refute_0_9360]) ).

cnf(refute_0_9362,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(c,product(b,c)) != bigC(c,c,b)
    | product(c,product(b,c)) = bigC(c,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(b,c)))),bind(Y,$fot(bigC(c,c,b))),bind(Z,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9363,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(c,product(b,c)) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,c,b)) )],[refute_0_391,refute_0_9362]) ).

cnf(refute_0_9364,plain,
    product(c,product(b,c)) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_9363]) ).

cnf(refute_0_9365,plain,
    product(bigC(c,a,b),product(b,c)) = product(bigC(c,a,b),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(b,c)))]]) ).

cnf(refute_0_9366,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(b,c)) != product(bigC(c,a,b),product(b,c))
    | product(bigC(c,a,b),product(b,c)) = product(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),product(bigC(c,a,b),product(b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_9367,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(b,c)) = product(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),product(bigC(c,a,b),product(b,c))) )],[refute_0_9365,refute_0_9366]) ).

cnf(refute_0_9368,plain,
    product(bigC(c,a,b),product(b,c)) = product(c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_9367]) ).

cnf(refute_0_9369,plain,
    ( product(bigC(c,a,b),product(b,c)) != product(c,product(b,c))
    | product(c,product(b,c)) != bigC(c,b,c)
    | product(bigC(c,a,b),product(b,c)) = bigC(c,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),product(b,c)))),bind(Y,$fot(product(c,product(b,c)))),bind(Z,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_9370,plain,
    ( product(c,product(b,c)) != bigC(c,b,c)
    | product(bigC(c,a,b),product(b,c)) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),product(c,product(b,c))) )],[refute_0_9368,refute_0_9369]) ).

cnf(refute_0_9371,plain,
    product(bigC(c,a,b),product(b,c)) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,b,c)) )],[refute_0_9364,refute_0_9370]) ).

cnf(refute_0_9372,plain,
    quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_9373,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) != quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))
    | quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_9374,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9372,refute_0_9373]) ).

cnf(refute_0_9375,plain,
    quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_9374]) ).

cnf(refute_0_9376,plain,
    product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_9377,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = product(product(product(c,b),b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_9378,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = product(product(product(c,b),b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9376,refute_0_9377]) ).

cnf(refute_0_9379,plain,
    product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = product(product(product(c,b),b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_9378]) ).

cnf(refute_0_9380,plain,
    ( product(product(product(c,b),b),bigC(c,b,c)) != bigC(c,b,b)
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != product(product(product(c,b),b),bigC(c,b,c))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))))),bind(Y,$fot(product(product(product(c,b),b),bigC(c,b,c)))),bind(Z,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_9381,plain,
    ( product(product(product(c,b),b),bigC(c,b,c)) != bigC(c,b,b)
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(product(c,b),b),bigC(c,b,c))) )],[refute_0_9379,refute_0_9380]) ).

cnf(refute_0_9382,plain,
    product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(c,b,c)),bigC(c,b,b)) )],[refute_0_2241,refute_0_9381]) ).

cnf(refute_0_9383,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != bigC(c,b,b)
    | difference(product(product(a,b),b),product(product(c,b),b)) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,b),b),product(product(c,b),b)),bigC(c,b,b)) ),[0],$fot(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_9384,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))
    | difference(product(product(a,b),b),product(product(c,b),b)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),bigC(c,b,b)) )],[refute_0_9382,refute_0_9383]) ).

cnf(refute_0_9385,plain,
    difference(product(product(a,b),b),product(product(c,b),b)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),product(product(product(c,b),b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9356,refute_0_9384]) ).

cnf(refute_0_9386,plain,
    quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_9387,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c)))
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c)))) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_9388,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9386,refute_0_9387]) ).

cnf(refute_0_9389,plain,
    quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),bigC(c,b,b)) )],[refute_0_9385,refute_0_9388]) ).

cnf(refute_0_9390,plain,
    ( quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) != quotient(bigC(c,b,b),bigC(c,b,c))
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))))),bind(Y,$fot(quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))))),bind(Z,$fot(quotient(bigC(c,b,b),bigC(c,b,c))))]]) ).

cnf(refute_0_9391,plain,
    ( quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) != quotient(bigC(c,b,b),bigC(c,b,c))
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_9389,refute_0_9390]) ).

cnf(refute_0_9392,plain,
    quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = quotient(bigC(c,b,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),quotient(bigC(c,b,b),bigC(c,b,c))) )],[refute_0_9375,refute_0_9391]) ).

cnf(refute_0_9393,plain,
    ( quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != product(product(c,b),b)
    | quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != quotient(bigC(c,b,b),bigC(c,b,c))
    | quotient(bigC(c,b,b),bigC(c,b,c)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(product(c,b),b)) ),[0],$fot(quotient(bigC(c,b,b),bigC(c,b,c)))]]) ).

cnf(refute_0_9394,plain,
    ( quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != product(product(c,b),b)
    | quotient(bigC(c,b,b),bigC(c,b,c)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),quotient(bigC(c,b,b),bigC(c,b,c))) )],[refute_0_9392,refute_0_9393]) ).

cnf(refute_0_9395,plain,
    quotient(bigC(c,b,b),bigC(c,b,c)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(product(c,b),b)) )],[refute_0_9361,refute_0_9394]) ).

cnf(refute_0_9396,plain,
    quotient(bigC(c,b,b),bigC(c,b,c)) = quotient(bigC(c,b,b),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,b,b),bigC(c,b,c)))]]) ).

cnf(refute_0_9397,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(bigC(c,b,b),bigC(c,b,c)) != quotient(bigC(c,b,b),bigC(c,b,c))
    | quotient(bigC(c,b,b),bigC(c,b,c)) = quotient(bigC(c,b,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,b),bigC(c,b,c)),quotient(bigC(c,b,b),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9398,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(bigC(c,b,b),bigC(c,b,c)) = quotient(bigC(c,b,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(c,b,c)),quotient(bigC(c,b,b),bigC(c,b,c))) )],[refute_0_9396,refute_0_9397]) ).

cnf(refute_0_9399,plain,
    quotient(bigC(c,b,b),bigC(c,b,c)) = quotient(bigC(c,b,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_9398]) ).

cnf(refute_0_9400,plain,
    ( quotient(bigC(c,b,b),bigC(c,b,c)) != product(product(c,b),b)
    | quotient(bigC(c,b,b),bigC(c,b,c)) != quotient(bigC(c,b,b),bigC(b,a,b))
    | quotient(bigC(c,b,b),bigC(b,a,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,b),bigC(c,b,c)),product(product(c,b),b)) ),[0],$fot(quotient(bigC(c,b,b),bigC(b,a,b)))]]) ).

cnf(refute_0_9401,plain,
    ( quotient(bigC(c,b,b),bigC(c,b,c)) != product(product(c,b),b)
    | quotient(bigC(c,b,b),bigC(b,a,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(c,b,c)),quotient(bigC(c,b,b),bigC(b,a,b))) )],[refute_0_9399,refute_0_9400]) ).

cnf(refute_0_9402,plain,
    quotient(bigC(c,b,b),bigC(b,a,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(c,b,c)),product(product(c,b),b)) )],[refute_0_9395,refute_0_9401]) ).

cnf(refute_0_9403,plain,
    quotient(bigC(c,b,b),bigC(b,a,b)) = quotient(bigC(c,b,b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(c,b,b),bigC(b,a,b)))]]) ).

cnf(refute_0_9404,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | quotient(bigC(c,b,b),bigC(b,a,b)) != quotient(bigC(c,b,b),bigC(b,a,b))
    | quotient(bigC(c,b,b),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),quotient(bigC(c,b,b),bigC(b,a,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9405,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | quotient(bigC(c,b,b),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),quotient(bigC(c,b,b),bigC(b,a,b))) )],[refute_0_9403,refute_0_9404]) ).

cnf(refute_0_9406,plain,
    quotient(bigC(c,b,b),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9405]) ).

cnf(refute_0_9407,plain,
    ( quotient(bigC(c,b,b),bigC(b,a,b)) != product(product(c,b),b)
    | quotient(bigC(c,b,b),bigC(b,a,b)) != quotient(bigC(b,b,c),bigC(b,a,b))
    | quotient(bigC(b,b,c),bigC(b,a,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),product(product(c,b),b)) ),[0],$fot(quotient(bigC(b,b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_9408,plain,
    ( quotient(bigC(c,b,b),bigC(b,a,b)) != product(product(c,b),b)
    | quotient(bigC(b,b,c),bigC(b,a,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),quotient(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9406,refute_0_9407]) ).

cnf(refute_0_9409,plain,
    quotient(bigC(b,b,c),bigC(b,a,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_9402,refute_0_9408]) ).

cnf(refute_0_9410,plain,
    quotient(bigC(b,b,c),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_9411,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,b,c),bigC(b,a,b)) != quotient(bigC(b,b,c),bigC(b,a,b))
    | quotient(bigC(b,b,c),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,b,c),bigC(b,a,b)),quotient(bigC(b,b,c),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9412,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,b,c),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),bigC(b,a,b)),quotient(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9410,refute_0_9411]) ).

cnf(refute_0_9413,plain,
    quotient(bigC(b,b,c),bigC(b,a,b)) = quotient(bigC(b,b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9412]) ).

cnf(refute_0_9414,plain,
    ( quotient(bigC(b,b,c),bigC(b,a,b)) != product(product(c,b),b)
    | quotient(bigC(b,b,c),bigC(b,a,b)) != quotient(bigC(b,b,c),bigC(a,b,b))
    | quotient(bigC(b,b,c),bigC(a,b,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,b,c),bigC(b,a,b)),product(product(c,b),b)) ),[0],$fot(quotient(bigC(b,b,c),bigC(a,b,b)))]]) ).

cnf(refute_0_9415,plain,
    ( quotient(bigC(b,b,c),bigC(b,a,b)) != product(product(c,b),b)
    | quotient(bigC(b,b,c),bigC(a,b,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),bigC(b,a,b)),quotient(bigC(b,b,c),bigC(a,b,b))) )],[refute_0_9413,refute_0_9414]) ).

cnf(refute_0_9416,plain,
    quotient(bigC(b,b,c),bigC(a,b,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_9409,refute_0_9415]) ).

cnf(refute_0_9417,plain,
    quotient(bigC(b,product(c,a),product(c,b)),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) = bigC(b,b,c),
    inference(subst,[],[refute_0_362:[bind(B,$fot(bigC(b,product(c,a),product(c,b)))),bind(X_6,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9418,plain,
    difference(bigC(b,b,c),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))) = product(bigC(a,a,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(bigC(b,b,c))),bind(X_37,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9419,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != bigC(b,product(c,a),product(c,b))
    | difference(bigC(b,b,c),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))) != product(bigC(a,a,b),bigC(b,b,c))
    | difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(a,a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,b,c),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))),product(bigC(a,a,b),bigC(b,b,c))) ),[0,1],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_9420,plain,
    ( difference(bigC(b,b,c),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))) != product(bigC(a,a,b),bigC(b,b,c))
    | difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(a,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3341,refute_0_9419]) ).

cnf(refute_0_9421,plain,
    difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(a,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c))),product(bigC(a,a,b),bigC(b,b,c))) )],[refute_0_9418,refute_0_9420]) ).

cnf(refute_0_9422,plain,
    ( difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(bigC(a,a,b),bigC(b,b,c))
    | product(bigC(a,a,b),bigC(b,b,c)) != product(c,product(c,b))
    | difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(c,product(c,b))) ),[0],$fot(product(bigC(a,a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_9423,plain,
    ( difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(bigC(a,a,b),bigC(b,b,c))
    | difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(b,b,c)),product(c,product(c,b))) )],[refute_0_6781,refute_0_9422]) ).

cnf(refute_0_9424,plain,
    difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(bigC(a,a,b),bigC(b,b,c))) )],[refute_0_9421,refute_0_9423]) ).

cnf(refute_0_9425,plain,
    ( difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(c,product(c,b))
    | quotient(bigC(b,product(c,a),product(c,b)),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) != bigC(b,b,c)
    | quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))),bigC(b,b,c)) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9426,plain,
    ( quotient(bigC(b,product(c,a),product(c,b)),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) != bigC(b,b,c)
    | quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(c,product(c,b))) )],[refute_0_9424,refute_0_9425]) ).

cnf(refute_0_9427,plain,
    quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))),bigC(b,b,c)) )],[refute_0_9417,refute_0_9426]) ).

cnf(refute_0_9428,plain,
    product(bigC(b,b,c),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) = bigC(b,product(c,a),product(c,b)),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(bigC(b,product(c,a),product(c,b))))]]) ).

cnf(refute_0_9429,plain,
    ( difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(c,product(c,b))
    | product(bigC(b,b,c),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) != bigC(b,product(c,a),product(c,b))
    | product(bigC(b,b,c),product(c,product(c,b))) = bigC(b,product(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))),bigC(b,product(c,a),product(c,b))) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9430,plain,
    ( product(bigC(b,b,c),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) != bigC(b,product(c,a),product(c,b))
    | product(bigC(b,b,c),product(c,product(c,b))) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(c,product(c,b))) )],[refute_0_9424,refute_0_9429]) ).

cnf(refute_0_9431,plain,
    product(bigC(b,b,c),product(c,product(c,b))) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),difference(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))),bigC(b,product(c,a),product(c,b))) )],[refute_0_9428,refute_0_9430]) ).

cnf(refute_0_9432,plain,
    ( product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,a,b)
    | product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,product(c,a),product(c,b))
    | bigC(b,a,b) = bigC(b,product(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(c,product(c,b))),bigC(b,product(c,a),product(c,b))) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9433,plain,
    ( product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,product(c,a),product(c,b))
    | bigC(b,a,b) = bigC(b,product(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_1133,refute_0_9432]) ).

cnf(refute_0_9434,plain,
    bigC(b,a,b) = bigC(b,product(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,product(c,b))),bigC(b,product(c,a),product(c,b))) )],[refute_0_9431,refute_0_9433]) ).

cnf(refute_0_9435,plain,
    ( bigC(b,a,b) != bigC(b,product(c,a),product(c,b))
    | bigC(b,product(c,a),product(c,b)) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(bigC(b,product(c,a),product(c,b))))]]) ).

cnf(refute_0_9436,plain,
    bigC(b,product(c,a),product(c,b)) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(b,product(c,a),product(c,b))) )],[refute_0_9434,refute_0_9435]) ).

cnf(refute_0_9437,plain,
    quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))))]]) ).

cnf(refute_0_9438,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) != quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b)))
    | quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = quotient(bigC(b,a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))),quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9439,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = quotient(bigC(b,a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))),quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b)))) )],[refute_0_9437,refute_0_9438]) ).

cnf(refute_0_9440,plain,
    quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) = quotient(bigC(b,a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_9439]) ).

cnf(refute_0_9441,plain,
    ( quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) != bigC(b,b,c)
    | quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) != quotient(bigC(b,a,b),product(c,product(c,b)))
    | quotient(bigC(b,a,b),product(c,product(c,b))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))),bigC(b,b,c)) ),[0],$fot(quotient(bigC(b,a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_9442,plain,
    ( quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))) != bigC(b,b,c)
    | quotient(bigC(b,a,b),product(c,product(c,b))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))),quotient(bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_9440,refute_0_9441]) ).

cnf(refute_0_9443,plain,
    quotient(bigC(b,a,b),product(c,product(c,b))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(c,product(c,b))),bigC(b,b,c)) )],[refute_0_9427,refute_0_9442]) ).

cnf(refute_0_9444,plain,
    quotient(bigC(b,a,b),product(c,product(c,b))) = quotient(bigC(b,a,b),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,a,b),product(c,product(c,b))))]]) ).

cnf(refute_0_9445,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),product(c,product(c,b))) != quotient(bigC(b,a,b),product(c,product(c,b)))
    | quotient(bigC(b,a,b),product(c,product(c,b))) = quotient(bigC(a,b,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(c,product(c,b))),quotient(bigC(b,a,b),product(c,product(c,b)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9446,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),product(c,product(c,b))) = quotient(bigC(a,b,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,product(c,b))),quotient(bigC(b,a,b),product(c,product(c,b)))) )],[refute_0_9444,refute_0_9445]) ).

cnf(refute_0_9447,plain,
    quotient(bigC(b,a,b),product(c,product(c,b))) = quotient(bigC(a,b,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9446]) ).

cnf(refute_0_9448,plain,
    ( quotient(bigC(b,a,b),product(c,product(c,b))) != bigC(b,b,c)
    | quotient(bigC(b,a,b),product(c,product(c,b))) != quotient(bigC(a,b,b),product(c,product(c,b)))
    | quotient(bigC(a,b,b),product(c,product(c,b))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(c,product(c,b))),bigC(b,b,c)) ),[0],$fot(quotient(bigC(a,b,b),product(c,product(c,b))))]]) ).

cnf(refute_0_9449,plain,
    ( quotient(bigC(b,a,b),product(c,product(c,b))) != bigC(b,b,c)
    | quotient(bigC(a,b,b),product(c,product(c,b))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,product(c,b))),quotient(bigC(a,b,b),product(c,product(c,b)))) )],[refute_0_9447,refute_0_9448]) ).

cnf(refute_0_9450,plain,
    quotient(bigC(a,b,b),product(c,product(c,b))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,product(c,b))),bigC(b,b,c)) )],[refute_0_9443,refute_0_9449]) ).

cnf(refute_0_9451,plain,
    quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)))]]) ).

cnf(refute_0_9452,plain,
    ( quotient(bigC(a,b,b),product(c,product(c,b))) != bigC(b,b,c)
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) != quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b))
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = quotient(bigC(b,b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9453,plain,
    ( quotient(bigC(a,b,b),product(c,product(c,b))) != bigC(b,b,c)
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = quotient(bigC(b,b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b))) )],[refute_0_9451,refute_0_9452]) ).

cnf(refute_0_9454,plain,
    quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = quotient(bigC(b,b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(b,b,c)) )],[refute_0_9450,refute_0_9453]) ).

cnf(refute_0_9455,plain,
    ( quotient(bigC(b,b,c),bigC(a,b,b)) != product(product(c,b),b)
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) != quotient(bigC(b,b,c),bigC(a,b,b))
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = product(product(c,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)))),bind(Y,$fot(quotient(bigC(b,b,c),bigC(a,b,b)))),bind(Z,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_9456,plain,
    ( quotient(bigC(b,b,c),bigC(a,b,b)) != product(product(c,b),b)
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),quotient(bigC(b,b,c),bigC(a,b,b))) )],[refute_0_9454,refute_0_9455]) ).

cnf(refute_0_9457,plain,
    quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),bigC(a,b,b)),product(product(c,b),b)) )],[refute_0_9416,refute_0_9456]) ).

cnf(refute_0_9458,plain,
    ( quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) != product(product(c,b),b)
    | product(product(c,b),b) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) ),[0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_9459,plain,
    ( quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | product(product(c,b),b) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),product(product(c,b),b)) )],[refute_0_9457,refute_0_9458]) ).

cnf(refute_0_9460,plain,
    product(product(product(a,c),b),bigC(b,a,b)) = product(product(product(a,c),b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),bigC(b,a,b)))]]) ).

cnf(refute_0_9461,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(product(a,c),b),bigC(b,a,b)) != product(product(product(a,c),b),bigC(b,a,b))
    | product(product(product(a,c),b),bigC(b,a,b)) = product(product(product(a,c),b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(product(product(a,c),b),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9462,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(product(a,c),b),bigC(b,a,b)) = product(product(product(a,c),b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(product(product(a,c),b),bigC(b,a,b))) )],[refute_0_9460,refute_0_9461]) ).

cnf(refute_0_9463,plain,
    product(product(product(a,c),b),bigC(b,a,b)) = product(product(product(a,c),b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9462]) ).

cnf(refute_0_9464,plain,
    ( product(product(product(a,c),b),bigC(b,a,b)) != product(c,b)
    | product(product(product(a,c),b),bigC(b,a,b)) != product(product(product(a,c),b),bigC(a,b,b))
    | product(product(product(a,c),b),bigC(a,b,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(c,b)) ),[0],$fot(product(product(product(a,c),b),bigC(a,b,b)))]]) ).

cnf(refute_0_9465,plain,
    ( product(product(product(a,c),b),bigC(b,a,b)) != product(c,b)
    | product(product(product(a,c),b),bigC(a,b,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(product(product(a,c),b),bigC(a,b,b))) )],[refute_0_9463,refute_0_9464]) ).

cnf(refute_0_9466,plain,
    product(product(product(a,c),b),bigC(a,b,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(c,b)) )],[refute_0_9177,refute_0_9465]) ).

cnf(refute_0_9467,plain,
    difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) = difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))))]]) ).

cnf(refute_0_9468,plain,
    ( difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | product(product(product(a,c),b),bigC(a,b,b)) != product(c,b)
    | difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) = difference(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_9469,plain,
    ( product(product(product(a,c),b),bigC(a,b,b)) != product(c,b)
    | difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) = difference(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9467,refute_0_9468]) ).

cnf(refute_0_9470,plain,
    difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) = difference(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(a,b,b)),product(c,b)) )],[refute_0_9466,refute_0_9469]) ).

cnf(refute_0_9471,plain,
    ( difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))) != difference(bigC(a,b,b),product(c,b))
    | product(product(c,b),b) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | product(product(c,b),b) = difference(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),b),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) ),[1],$fot(difference(bigC(a,b,b),product(c,b)))]]) ).

cnf(refute_0_9472,plain,
    ( product(product(c,b),b) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | product(product(c,b),b) = difference(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b))),difference(bigC(a,b,b),product(c,b))) )],[refute_0_9470,refute_0_9471]) ).

cnf(refute_0_9473,plain,
    ( quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))
    | product(product(c,b),b) = difference(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),b),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9459,refute_0_9472]) ).

cnf(refute_0_9474,plain,
    product(product(c,b),b) = difference(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,product(c,b))),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(a,c),b),bigC(a,b,b)))) )],[refute_0_9317,refute_0_9473]) ).

cnf(refute_0_9475,plain,
    ( product(product(c,b),b) != difference(bigC(a,b,b),product(c,b))
    | difference(bigC(a,b,b),product(c,b)) = product(product(c,b),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,b),b))),bind(Y,$fot(difference(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_9476,plain,
    difference(bigC(a,b,b),product(c,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),b),difference(bigC(a,b,b),product(c,b))) )],[refute_0_9474,refute_0_9475]) ).

cnf(refute_0_9477,plain,
    ( difference(bigC(a,b,b),product(c,b)) != product(product(c,b),b)
    | product(bigC(a,b,b),difference(bigC(a,b,b),product(c,b))) != product(c,b)
    | product(bigC(a,b,b),product(product(c,b),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),difference(bigC(a,b,b),product(c,b))),product(c,b)) ),[0,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_9478,plain,
    ( product(bigC(a,b,b),difference(bigC(a,b,b),product(c,b))) != product(c,b)
    | product(bigC(a,b,b),product(product(c,b),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(c,b)),product(product(c,b),b)) )],[refute_0_9476,refute_0_9477]) ).

cnf(refute_0_9479,plain,
    product(bigC(a,b,b),product(product(c,b),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(bigC(a,b,b),product(c,b))),product(c,b)) )],[refute_0_9150,refute_0_9478]) ).

cnf(refute_0_9480,plain,
    ( product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))) != product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,b),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))),product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))) ),[0,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_9481,plain,
    ( quotient(bigC(a,b,b),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))) != product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(c,b),b)),product(c,b)) )],[refute_0_9479,refute_0_9480]) ).

cnf(refute_0_9482,plain,
    quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))),product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))) )],[refute_0_9149,refute_0_9481]) ).

cnf(refute_0_9483,plain,
    difference(product(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(c,product(c,b)))),bind(X_16,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_9484,plain,
    ( difference(product(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))
    | product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),bigC(c,b,b)),product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))) ),[0,0,0],$fot(product(c,b))]]) ).

cnf(refute_0_9485,plain,
    ( difference(product(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,b)),product(c,b)) )],[refute_0_2269,refute_0_9484]) ).

cnf(refute_0_9486,plain,
    difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),bigC(c,b,b)),product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))) )],[refute_0_9483,refute_0_9485]) ).

cnf(refute_0_9487,plain,
    product(bigC(c,b,b),product(c,product(c,b))) = bigC(product(c,b),c,product(b,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(c)),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_9488,plain,
    product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) = product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_9489,plain,
    ( product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) != product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))
    | product(bigC(c,b,b),product(c,product(c,b))) != bigC(product(c,b),c,product(b,c))
    | product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))),product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))) ),[1,1],$fot(bigC(product(c,b),c,product(b,c)))]]) ).

cnf(refute_0_9490,plain,
    ( product(bigC(c,b,b),product(c,product(c,b))) != bigC(product(c,b),c,product(b,c))
    | product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))),product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))) )],[refute_0_9488,refute_0_9489]) ).

cnf(refute_0_9491,plain,
    product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(c,product(c,b))),bigC(product(c,b),c,product(b,c))) )],[refute_0_9487,refute_0_9490]) ).

cnf(refute_0_9492,plain,
    ( difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))
    | product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) ),[0],$fot(product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_9493,plain,
    ( difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b)))),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9491,refute_0_9492]) ).

cnf(refute_0_9494,plain,
    difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),product(bigC(c,b,b),product(bigC(c,b,b),product(c,product(c,b))))) )],[refute_0_9486,refute_0_9493]) ).

cnf(refute_0_9495,plain,
    difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)))]]) ).

cnf(refute_0_9496,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) != difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)),difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9497,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)),difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b))) )],[refute_0_9495,refute_0_9496]) ).

cnf(refute_0_9498,plain,
    difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9497]) ).

cnf(refute_0_9499,plain,
    product(product(c,b),bigC(c,b,b)) = product(product(c,b),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(c,b,b)))]]) ).

cnf(refute_0_9500,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(c,b),bigC(c,b,b)) != product(product(c,b),bigC(c,b,b))
    | product(product(c,b),bigC(c,b,b)) = product(product(c,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(c,b,b)),product(product(c,b),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9501,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(c,b),bigC(c,b,b)) = product(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,b)),product(product(c,b),bigC(c,b,b))) )],[refute_0_9499,refute_0_9500]) ).

cnf(refute_0_9502,plain,
    product(product(c,b),bigC(c,b,b)) = product(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9501]) ).

cnf(refute_0_9503,plain,
    difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)))]]) ).

cnf(refute_0_9504,plain,
    ( difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b))
    | product(product(c,b),bigC(c,b,b)) != product(product(c,b),bigC(b,b,c))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b))) ),[1,0],$fot(product(product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_9505,plain,
    ( product(product(c,b),bigC(c,b,b)) != product(product(c,b),bigC(b,b,c))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b))) )],[refute_0_9503,refute_0_9504]) ).

cnf(refute_0_9506,plain,
    difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,b)),product(product(c,b),bigC(b,b,c))) )],[refute_0_9502,refute_0_9505]) ).

cnf(refute_0_9507,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) != difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)))),bind(Y,$fot(difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)))),bind(Z,$fot(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c))))]]) ).

cnf(refute_0_9508,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)) != difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b))) )],[refute_0_9506,refute_0_9507]) ).

cnf(refute_0_9509,plain,
    difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) = difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(c,b,b)),difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c))) )],[refute_0_9498,refute_0_9508]) ).

cnf(refute_0_9510,plain,
    ( difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c))
    | difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) ),[0],$fot(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)))]]) ).

cnf(refute_0_9511,plain,
    ( difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c))) )],[refute_0_9509,refute_0_9510]) ).

cnf(refute_0_9512,plain,
    product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) = product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))))]]) ).

cnf(refute_0_9513,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9514,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9512,refute_0_9513]) ).

cnf(refute_0_9515,plain,
    product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9514]) ).

cnf(refute_0_9516,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) ),[0],$fot(product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))))]]) ).

cnf(refute_0_9517,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(product(c,b),c,product(b,c))),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9515,refute_0_9516]) ).

cnf(refute_0_9518,plain,
    ( difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)) != product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9511,refute_0_9517]) ).

cnf(refute_0_9519,plain,
    difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(c,b,b)),bigC(c,b,b)),product(bigC(c,b,b),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9494,refute_0_9518]) ).

cnf(refute_0_9520,plain,
    difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),quotient(product(c,b),bigC(b,b,c)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(c,b))),bind(X_20,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9521,plain,
    quotient(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)) = product(c,product(c,b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_9522,plain,
    ( product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | quotient(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)) != product(c,product(c,b))
    | quotient(product(c,b),bigC(c,b,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),product(c,product(c,b))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_9523,plain,
    ( quotient(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)) != product(c,product(c,b))
    | quotient(product(c,b),bigC(c,b,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,b)),product(c,b)) )],[refute_0_2269,refute_0_9522]) ).

cnf(refute_0_9524,plain,
    quotient(product(c,b),bigC(c,b,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,product(c,b)),bigC(c,b,b)),bigC(c,b,b)),product(c,product(c,b))) )],[refute_0_9521,refute_0_9523]) ).

cnf(refute_0_9525,plain,
    quotient(product(c,b),bigC(c,b,b)) = quotient(product(c,b),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),bigC(c,b,b)))]]) ).

cnf(refute_0_9526,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | quotient(product(c,b),bigC(c,b,b)) != quotient(product(c,b),bigC(c,b,b))
    | quotient(product(c,b),bigC(c,b,b)) = quotient(product(c,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,b,b)),quotient(product(c,b),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9527,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | quotient(product(c,b),bigC(c,b,b)) = quotient(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,b)),quotient(product(c,b),bigC(c,b,b))) )],[refute_0_9525,refute_0_9526]) ).

cnf(refute_0_9528,plain,
    quotient(product(c,b),bigC(c,b,b)) = quotient(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9527]) ).

cnf(refute_0_9529,plain,
    ( quotient(product(c,b),bigC(c,b,b)) != product(c,product(c,b))
    | quotient(product(c,b),bigC(c,b,b)) != quotient(product(c,b),bigC(b,b,c))
    | quotient(product(c,b),bigC(b,b,c)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,b,b)),product(c,product(c,b))) ),[0],$fot(quotient(product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_9530,plain,
    ( quotient(product(c,b),bigC(c,b,b)) != product(c,product(c,b))
    | quotient(product(c,b),bigC(b,b,c)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,b)),quotient(product(c,b),bigC(b,b,c))) )],[refute_0_9528,refute_0_9529]) ).

cnf(refute_0_9531,plain,
    quotient(product(c,b),bigC(b,b,c)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,b)),product(c,product(c,b))) )],[refute_0_9524,refute_0_9530]) ).

cnf(refute_0_9532,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(b,b,c),product(bigC(b,b,c),quotient(product(c,b),bigC(b,b,c))))
    | quotient(product(c,b),bigC(b,b,c)) != product(c,product(c,b))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(product(c,b),bigC(b,b,c))))) ),[1,1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_9533,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(b,b,c),product(bigC(b,b,c),quotient(product(c,b),bigC(b,b,c))))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(b,b,c)),product(c,product(c,b))) )],[refute_0_9531,refute_0_9532]) ).

cnf(refute_0_9534,plain,
    difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(product(c,b),bigC(b,b,c))))) )],[refute_0_9520,refute_0_9533]) ).

cnf(refute_0_9535,plain,
    quotient(product(product(bigC(b,b,c),bigC(b,a,b)),c),c) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(bigC(b,b,c),bigC(b,a,b)))),bind(B,$fot(c))]]) ).

cnf(refute_0_9536,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(b,c),c))),bind(X_23,$fot(difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_9537,plain,
    bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(product(product(product(b,c),c),bigC(b,b,c)),product(product(b,c),c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(product(b,c),c))),bind(X_22,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_9538,plain,
    ( bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) != product(product(product(product(b,c),c),bigC(b,b,c)),product(product(b,c),c))
    | product(product(product(b,c),c),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)),product(product(product(product(b,c),c),bigC(b,b,c)),product(product(b,c),c))) ),[1,0],$fot(difference(product(b,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_9539,plain,
    ( bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) != product(product(product(product(b,c),c),bigC(b,b,c)),product(product(b,c),c))
    | bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),difference(product(b,product(b,c)),product(b,c))) )],[refute_0_3206,refute_0_9538]) ).

cnf(refute_0_9540,plain,
    bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)),product(product(product(product(b,c),c),bigC(b,b,c)),product(product(b,c),c))) )],[refute_0_9537,refute_0_9539]) ).

cnf(refute_0_9541,plain,
    product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) = product(bigC(b,b,c),product(c,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(bigC(b,b,c))),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_9542,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),c)
    | product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) != product(bigC(b,b,c),product(c,c))
    | product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)))),bind(Y,$fot(product(bigC(b,b,c),product(c,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9543,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),c)
    | product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)),product(bigC(b,b,c),product(c,c))) )],[refute_0_9541,refute_0_9542]) ).

cnf(refute_0_9544,plain,
    product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,c)),product(bigC(b,b,c),c)) )],[refute_0_3089,refute_0_9543]) ).

cnf(refute_0_9545,plain,
    product(bigC(b,c,b),product(c,c)) = product(bigC(b,c,b),product(c,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,b),product(c,c)))]]) ).

cnf(refute_0_9546,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(c,c)) != product(bigC(b,c,b),product(c,c))
    | product(bigC(b,c,b),product(c,c)) = product(bigC(b,b,c),product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,b),product(c,c)),product(bigC(b,c,b),product(c,c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9547,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(c,c)) = product(bigC(b,b,c),product(c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(c,c)),product(bigC(b,c,b),product(c,c))) )],[refute_0_9545,refute_0_9546]) ).

cnf(refute_0_9548,plain,
    product(bigC(b,c,b),product(c,c)) = product(bigC(b,b,c),product(c,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_9547]) ).

cnf(refute_0_9549,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),c)
    | product(bigC(b,c,b),product(c,c)) != product(bigC(b,b,c),product(c,c))
    | product(bigC(b,c,b),product(c,c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,c,b),product(c,c)))),bind(Y,$fot(product(bigC(b,b,c),product(c,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9550,plain,
    ( product(bigC(b,b,c),product(c,c)) != product(bigC(b,b,c),c)
    | product(bigC(b,c,b),product(c,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(c,c)),product(bigC(b,b,c),product(c,c))) )],[refute_0_9548,refute_0_9549]) ).

cnf(refute_0_9551,plain,
    product(bigC(b,c,b),product(c,c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,c)),product(bigC(b,b,c),c)) )],[refute_0_3089,refute_0_9550]) ).

cnf(refute_0_9552,plain,
    bigC(product(b,c),c,product(b,c)) = product(bigC(b,c,b),product(c,c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(c))]]) ).

cnf(refute_0_9553,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(bigC(b,c,b),product(c,c))
    | product(bigC(b,c,b),product(c,c)) != product(bigC(b,b,c),c)
    | bigC(product(b,c),c,product(b,c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),c,product(b,c)))),bind(Y,$fot(product(bigC(b,c,b),product(c,c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9554,plain,
    ( product(bigC(b,c,b),product(c,c)) != product(bigC(b,b,c),c)
    | bigC(product(b,c),c,product(b,c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(bigC(b,c,b),product(c,c))) )],[refute_0_9552,refute_0_9553]) ).

cnf(refute_0_9555,plain,
    bigC(product(b,c),c,product(b,c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(c,c)),product(bigC(b,b,c),c)) )],[refute_0_9551,refute_0_9554]) ).

cnf(refute_0_9556,plain,
    product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)),
    introduced(tautology,[refl,[$fot(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9557,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(bigC(b,b,c),c)
    | product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) != product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c))
    | product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)),product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c))) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9558,plain,
    ( bigC(product(b,c),c,product(b,c)) != product(bigC(b,b,c),c)
    | product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)),product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c))) )],[refute_0_9556,refute_0_9557]) ).

cnf(refute_0_9559,plain,
    product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) )],[refute_0_9555,refute_0_9558]) ).

cnf(refute_0_9560,plain,
    ( product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) != product(product(bigC(b,b,c),c),product(bigC(b,b,c),c))
    | product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) != product(bigC(b,b,c),c)
    | product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)))),bind(Y,$fot(product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9561,plain,
    ( product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)) != product(bigC(b,b,c),c)
    | product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)),product(product(bigC(b,b,c),c),product(bigC(b,b,c),c))) )],[refute_0_9559,refute_0_9560]) ).

cnf(refute_0_9562,plain,
    product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),product(bigC(b,b,c),c)),product(bigC(b,b,c),c)) )],[refute_0_9544,refute_0_9561]) ).

cnf(refute_0_9563,plain,
    bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(product(b,c))),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_9564,plain,
    ( bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) != product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c))
    | product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) != product(bigC(b,b,c),c)
    | bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)))),bind(Y,$fot(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9565,plain,
    ( product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)) != product(bigC(b,b,c),c)
    | bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)),product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c))) )],[refute_0_9563,refute_0_9564]) ).

cnf(refute_0_9566,plain,
    bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),c,product(b,c)),product(bigC(b,b,c),c)),product(bigC(b,b,c),c)) )],[refute_0_9562,refute_0_9565]) ).

cnf(refute_0_9567,plain,
    ( bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) != product(bigC(b,b,c),c)
    | bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) != product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))
    | product(bigC(b,b,c),c) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))) ),[0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9568,plain,
    ( bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)) != product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))
    | product(bigC(b,b,c),c) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)),product(bigC(b,b,c),c)) )],[refute_0_9566,refute_0_9567]) ).

cnf(refute_0_9569,plain,
    product(bigC(b,b,c),c) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),bigC(b,b,c),product(product(b,c),c)),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))) )],[refute_0_9540,refute_0_9568]) ).

cnf(refute_0_9570,plain,
    ( product(bigC(b,b,c),c) != product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))
    | product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,b,c),c))),bind(Y,$fot(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))))]]) ).

cnf(refute_0_9571,plain,
    product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))) )],[refute_0_9569,refute_0_9570]) ).

cnf(refute_0_9572,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)))
    | product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) != product(bigC(b,b,c),c)
    | bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),c),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),product(product(product(b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)))) ),[1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_9573,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)))
    | bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),c),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),product(bigC(b,b,c),c)) )],[refute_0_9571,refute_0_9572]) ).

cnf(refute_0_9574,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),c),product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),product(product(product(b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)))) )],[refute_0_9536,refute_0_9573]) ).

cnf(refute_0_9575,plain,
    product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(b,c))),bind(B,$fot(bigC(c,b,c))),bind(C,$fot(difference(product(b,product(b,c)),product(b,c)))),bind(D,$fot(c))]]) ).

cnf(refute_0_9576,plain,
    product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))))]]) ).

cnf(refute_0_9577,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) != product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c)))
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))),product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c)))) ),[1,1],$fot(product(bigC(c,b,c),c))]]) ).

cnf(refute_0_9578,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))),product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c)))) )],[refute_0_9576,refute_0_9577]) ).

cnf(refute_0_9579,plain,
    product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(bigC(c,b,c),c)) )],[refute_0_4566,refute_0_9578]) ).

cnf(refute_0_9580,plain,
    ( product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) != product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c))
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)) != product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))))),bind(Y,$fot(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)))),bind(Z,$fot(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))))]]) ).

cnf(refute_0_9581,plain,
    ( product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)) != product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))),product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c))) )],[refute_0_9579,refute_0_9580]) ).

cnf(refute_0_9582,plain,
    product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,c),c)),product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9575,refute_0_9581]) ).

cnf(refute_0_9583,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))),
    inference(subst,[],[refute_0_334:[bind(A,$fot(product(b,c))),bind(B,$fot(difference(product(b,product(b,c)),product(b,c)))),bind(C,$fot(c))]]) ).

cnf(refute_0_9584,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c)))
    | product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) != product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))))),bind(Y,$fot(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))))),bind(Z,$fot(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))))]]) ).

cnf(refute_0_9585,plain,
    ( product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))) != product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c)))) )],[refute_0_9583,refute_0_9584]) ).

cnf(refute_0_9586,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),difference(product(b,product(b,c)),product(b,c))),bigC(c,c,product(b,c))),product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9582,refute_0_9585]) ).

cnf(refute_0_9587,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),c),product(bigC(b,b,c),c))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),c),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),product(product(product(b,c),c),product(bigC(b,b,c),c))) ),[0],$fot(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)))]]) ).

cnf(refute_0_9588,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),c),product(bigC(b,b,c),c))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),c),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9586,refute_0_9587]) ).

cnf(refute_0_9589,plain,
    ( product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),c),product(bigC(b,b,c),c))
    | product(product(product(b,c),c),product(bigC(b,b,c),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(b,b,c)),c)) ),[0],$fot(product(product(product(b,c),c),product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_9590,plain,
    ( product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),c),product(bigC(b,b,c),c))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(bigC(b,b,c),c)),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_3077,refute_0_9589]) ).

cnf(refute_0_9591,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))) != product(product(product(b,c),c),product(bigC(b,b,c),c))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),c),product(bigC(b,b,c),c))) )],[refute_0_9588,refute_0_9590]) ).

cnf(refute_0_9592,plain,
    product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),difference(product(b,product(b,c)),product(b,c))),product(product(product(b,c),c),product(bigC(b,b,c),c))) )],[refute_0_9574,refute_0_9591]) ).

cnf(refute_0_9593,plain,
    product(product(b,c),bigC(c,b,c)) = product(product(b,c),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(b,c),bigC(c,b,c)))]]) ).

cnf(refute_0_9594,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(b,c),bigC(c,b,c)) != product(product(b,c),bigC(c,b,c))
    | product(product(b,c),bigC(c,b,c)) = product(product(b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(c,b,c)),product(product(b,c),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9595,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(b,c),bigC(c,b,c)) = product(product(b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(c,b,c)),product(product(b,c),bigC(c,b,c))) )],[refute_0_9593,refute_0_9594]) ).

cnf(refute_0_9596,plain,
    product(product(b,c),bigC(c,b,c)) = product(product(b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_9595]) ).

cnf(refute_0_9597,plain,
    ( product(product(b,c),bigC(b,a,b)) != bigC(b,c,product(b,a))
    | product(product(b,c),bigC(c,b,c)) != product(product(b,c),bigC(b,a,b))
    | product(product(b,c),bigC(c,b,c)) = bigC(b,c,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),bigC(c,b,c)))),bind(Y,$fot(product(product(b,c),bigC(b,a,b)))),bind(Z,$fot(bigC(b,c,product(b,a))))]]) ).

cnf(refute_0_9598,plain,
    ( product(product(b,c),bigC(b,a,b)) != bigC(b,c,product(b,a))
    | product(product(b,c),bigC(c,b,c)) = bigC(b,c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(c,b,c)),product(product(b,c),bigC(b,a,b))) )],[refute_0_9596,refute_0_9597]) ).

cnf(refute_0_9599,plain,
    product(product(b,c),bigC(c,b,c)) = bigC(b,c,product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,a,b)),bigC(b,c,product(b,a))) )],[refute_0_3433,refute_0_9598]) ).

cnf(refute_0_9600,plain,
    product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)))]]) ).

cnf(refute_0_9601,plain,
    ( product(product(b,c),bigC(c,b,c)) != bigC(b,c,product(b,a))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))) ),[1,0],$fot(bigC(b,c,product(b,a)))]]) ).

cnf(refute_0_9602,plain,
    ( product(product(b,c),bigC(c,b,c)) != bigC(b,c,product(b,a))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9600,refute_0_9601]) ).

cnf(refute_0_9603,plain,
    product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(c,b,c)),bigC(b,c,product(b,a))) )],[refute_0_9599,refute_0_9602]) ).

cnf(refute_0_9604,plain,
    ( product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(b,b,c)),c)) ),[0],$fot(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)))]]) ).

cnf(refute_0_9605,plain,
    ( product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9603,refute_0_9604]) ).

cnf(refute_0_9606,plain,
    product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(product(b,c),bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),bigC(c,b,c)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_9592,refute_0_9605]) ).

cnf(refute_0_9607,plain,
    product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(c,b,b))),bind(X_64,$fot(difference(product(b,product(b,c)),product(b,c)))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_9608,plain,
    product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)))]]) ).

cnf(refute_0_9609,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(c,b,b),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c))
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c))) ),[1,0],$fot(product(bigC(c,b,b),c))]]) ).

cnf(refute_0_9610,plain,
    ( bigC(b,c,product(b,a)) != product(bigC(c,b,b),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9608,refute_0_9609]) ).

cnf(refute_0_9611,plain,
    product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,a)),product(bigC(c,b,b),c)) )],[refute_0_3537,refute_0_9610]) ).

cnf(refute_0_9612,plain,
    ( product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c))
    | product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)))),bind(Y,$fot(product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)))),bind(Z,$fot(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)))]]) ).

cnf(refute_0_9613,plain,
    ( product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c))) )],[refute_0_9611,refute_0_9612]) ).

cnf(refute_0_9614,plain,
    product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) = product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),c),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)) )],[refute_0_9607,refute_0_9613]) ).

cnf(refute_0_9615,plain,
    ( product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)
    | product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(product(b,c),bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(b,b,c)),c)) ),[0],$fot(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c))]]) ).

cnf(refute_0_9616,plain,
    ( product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(product(b,c),bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)) )],[refute_0_9614,refute_0_9615]) ).

cnf(refute_0_9617,plain,
    product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(product(b,c),bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(b,a)),product(difference(product(b,product(b,c)),product(b,c)),c)),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_9606,refute_0_9616]) ).

cnf(refute_0_9618,plain,
    product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_9619,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) != product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c)))
    | product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c)))) ),[1,1],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_9620,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c)))) )],[refute_0_9618,refute_0_9619]) ).

cnf(refute_0_9621,plain,
    product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3358,refute_0_9620]) ).

cnf(refute_0_9622,plain,
    product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_9623,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) != product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c)))
    | product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c)))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9624,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c)))) )],[refute_0_9622,refute_0_9623]) ).

cnf(refute_0_9625,plain,
    product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9624]) ).

cnf(refute_0_9626,plain,
    ( product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) != product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))
    | product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) != product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c)))
    | product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))))),bind(Y,$fot(product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))))),bind(Z,$fot(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))))]]) ).

cnf(refute_0_9627,plain,
    ( product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))) != product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))
    | product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c)))) )],[refute_0_9625,refute_0_9626]) ).

cnf(refute_0_9628,plain,
    product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),difference(product(b,product(b,c)),product(b,c))),product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) )],[refute_0_9621,refute_0_9627]) ).

cnf(refute_0_9629,plain,
    product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c))]]) ).

cnf(refute_0_9630,plain,
    ( product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) != product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))
    | product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) != product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)
    | product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)) ),[1,0],$fot(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))))]]) ).

cnf(refute_0_9631,plain,
    ( product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))) != product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))
    | product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c)) )],[refute_0_9629,refute_0_9630]) ).

cnf(refute_0_9632,plain,
    product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) = product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) )],[refute_0_9628,refute_0_9631]) ).

cnf(refute_0_9633,plain,
    ( product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) != product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c)
    | product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(product(b,c),bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),product(product(product(b,c),bigC(b,b,c)),c)) ),[0],$fot(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c))]]) ).

cnf(refute_0_9634,plain,
    ( product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(product(b,c),bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c)) )],[refute_0_9632,refute_0_9633]) ).

cnf(refute_0_9635,plain,
    product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(product(b,c),bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,b),difference(product(b,product(b,c)),product(b,c))),c),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_9617,refute_0_9634]) ).

cnf(refute_0_9636,plain,
    bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(product(c,b),product(b,a)),product(product(c,b),product(product(c,b),product(b,a)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(c,b),product(b,a)))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_9637,plain,
    ( bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(b,a)),product(product(c,b),product(product(c,b),product(b,a))))
    | product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(product(c,b),product(b,a)),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(b,a)),product(product(c,b),product(product(c,b),product(b,a))))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_9638,plain,
    ( bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(b,a)),product(product(c,b),product(product(c,b),product(b,a))))
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(product(c,b),product(b,a)),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_9637]) ).

cnf(refute_0_9639,plain,
    bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(product(c,b),product(b,a)),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(b,a)),product(product(c,b),product(product(c,b),product(b,a))))) )],[refute_0_9636,refute_0_9638]) ).

cnf(refute_0_9640,plain,
    product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_9641,plain,
    product(product(b,b),bigC(a,a,b)) = product(product(b,b),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(b,b),bigC(a,a,b)))]]) ).

cnf(refute_0_9642,plain,
    ( product(b,b) != b
    | product(product(b,b),bigC(a,a,b)) != product(product(b,b),bigC(a,a,b))
    | product(product(b,b),bigC(a,a,b)) = product(b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),bigC(a,a,b)),product(product(b,b),bigC(a,a,b))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_9643,plain,
    ( product(b,b) != b
    | product(product(b,b),bigC(a,a,b)) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(a,a,b)),product(product(b,b),bigC(a,a,b))) )],[refute_0_9641,refute_0_9642]) ).

cnf(refute_0_9644,plain,
    product(product(b,b),bigC(a,a,b)) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_9643]) ).

cnf(refute_0_9645,plain,
    bigC(product(b,a),product(b,a),b) = product(product(b,b),bigC(a,a,b)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_9646,plain,
    ( bigC(product(b,a),product(b,a),b) != product(product(b,b),bigC(a,a,b))
    | product(product(b,b),bigC(a,a,b)) != product(b,bigC(a,a,b))
    | bigC(product(b,a),product(b,a),b) = product(b,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),product(b,a),b))),bind(Y,$fot(product(product(b,b),bigC(a,a,b)))),bind(Z,$fot(product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_9647,plain,
    ( product(product(b,b),bigC(a,a,b)) != product(b,bigC(a,a,b))
    | bigC(product(b,a),product(b,a),b) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),b),product(product(b,b),bigC(a,a,b))) )],[refute_0_9645,refute_0_9646]) ).

cnf(refute_0_9648,plain,
    bigC(product(b,a),product(b,a),b) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(a,a,b)),product(b,bigC(a,a,b))) )],[refute_0_9644,refute_0_9647]) ).

cnf(refute_0_9649,plain,
    product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)))]]) ).

cnf(refute_0_9650,plain,
    ( bigC(product(b,a),product(b,a),b) != product(b,bigC(a,a,b))
    | product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) != product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b))
    | product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)),product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b))) ),[1,1],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_9651,plain,
    ( bigC(product(b,a),product(b,a),b) != product(b,bigC(a,a,b))
    | product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)),product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b))) )],[refute_0_9649,refute_0_9650]) ).

cnf(refute_0_9652,plain,
    product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(b,a),b),product(b,bigC(a,a,b))) )],[refute_0_9648,refute_0_9651]) ).

cnf(refute_0_9653,plain,
    product(product(c,c),bigC(b,b,c)) = product(product(c,c),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(c,c),bigC(b,b,c)))]]) ).

cnf(refute_0_9654,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(b,b,c)) != product(product(c,c),bigC(b,b,c))
    | product(product(c,c),bigC(b,b,c)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),bigC(b,b,c)),product(product(c,c),bigC(b,b,c))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_9655,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(b,b,c)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(b,b,c)),product(product(c,c),bigC(b,b,c))) )],[refute_0_9653,refute_0_9654]) ).

cnf(refute_0_9656,plain,
    product(product(c,c),bigC(b,b,c)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_9655]) ).

cnf(refute_0_9657,plain,
    bigC(product(c,b),product(c,b),c) = product(product(c,c),bigC(b,b,c)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(b))]]) ).

cnf(refute_0_9658,plain,
    ( bigC(product(c,b),product(c,b),c) != product(product(c,c),bigC(b,b,c))
    | product(product(c,c),bigC(b,b,c)) != product(c,bigC(b,b,c))
    | bigC(product(c,b),product(c,b),c) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(c,b),c))),bind(Y,$fot(product(product(c,c),bigC(b,b,c)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_9659,plain,
    ( product(product(c,c),bigC(b,b,c)) != product(c,bigC(b,b,c))
    | bigC(product(c,b),product(c,b),c) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),c),product(product(c,c),bigC(b,b,c))) )],[refute_0_9657,refute_0_9658]) ).

cnf(refute_0_9660,plain,
    bigC(product(c,b),product(c,b),c) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(b,b,c)),product(c,bigC(b,b,c))) )],[refute_0_9656,refute_0_9659]) ).

cnf(refute_0_9661,plain,
    product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)))]]) ).

cnf(refute_0_9662,plain,
    ( bigC(product(c,b),product(c,b),c) != product(c,bigC(b,b,c))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) != product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_9663,plain,
    ( bigC(product(c,b),product(c,b),c) != product(c,bigC(b,b,c))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))) )],[refute_0_9661,refute_0_9662]) ).

cnf(refute_0_9664,plain,
    product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),c),product(c,bigC(b,b,c))) )],[refute_0_9660,refute_0_9663]) ).

cnf(refute_0_9665,plain,
    ( product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) != product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b))
    | product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) != product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b)))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)))),bind(Y,$fot(product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)))),bind(Z,$fot(product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b)))))]]) ).

cnf(refute_0_9666,plain,
    ( product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)) != product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b)))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b))) )],[refute_0_9664,refute_0_9665]) ).

cnf(refute_0_9667,plain,
    product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),bigC(product(b,a),product(b,a),b)),product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b)))) )],[refute_0_9652,refute_0_9666]) ).

cnf(refute_0_9668,plain,
    ( product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) != product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b)))
    | product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) != product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)))),bind(Y,$fot(product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))))),bind(Z,$fot(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))))]]) ).

cnf(refute_0_9669,plain,
    ( product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))) != product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b)))) )],[refute_0_9667,refute_0_9668]) ).

cnf(refute_0_9670,plain,
    product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),product(b,bigC(a,a,b))),product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_9640,refute_0_9669]) ).

cnf(refute_0_9671,plain,
    product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b))) = product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(c)),bind(B,$fot(product(c,b))),bind(C,$fot(b)),bind(D,$fot(product(b,a)))]]) ).

cnf(refute_0_9672,plain,
    bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b))),
    inference(subst,[],[refute_0_334:[bind(A,$fot(product(c,b))),bind(B,$fot(product(c,b))),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_9673,plain,
    ( bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b)))
    | product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b))) != product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)))),bind(Y,$fot(product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b))))),bind(Z,$fot(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))))]]) ).

cnf(refute_0_9674,plain,
    ( product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b))) != product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b)))) )],[refute_0_9672,refute_0_9673]) ).

cnf(refute_0_9675,plain,
    bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(c,b)),bigC(product(b,a),product(b,a),product(c,b))),product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))) )],[refute_0_9671,refute_0_9674]) ).

cnf(refute_0_9676,plain,
    ( bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))
    | product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) != product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)))),bind(Y,$fot(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)))),bind(Z,$fot(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))))]]) ).

cnf(refute_0_9677,plain,
    ( product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)) != product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b))) )],[refute_0_9675,refute_0_9676]) ).

cnf(refute_0_9678,plain,
    bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),c),bigC(product(b,a),product(b,a),b)),product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_9670,refute_0_9677]) ).

cnf(refute_0_9679,plain,
    ( bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))
    | bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(b,a)),bigC(c,b,b))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(product(c,b),product(b,a)),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(b,a)),bigC(c,b,b))) ),[0],$fot(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_9680,plain,
    ( bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(b,a)),bigC(c,b,b))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(product(c,b),product(b,a)),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_9678,refute_0_9679]) ).

cnf(refute_0_9681,plain,
    product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(product(c,b),product(b,a)),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),product(b,a)),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(b,a)),bigC(c,b,b))) )],[refute_0_9639,refute_0_9680]) ).

cnf(refute_0_9682,plain,
    product(product(product(c,b),product(b,a)),bigC(c,b,b)) = product(product(product(c,b),product(b,a)),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(b,a)),bigC(c,b,b)))]]) ).

cnf(refute_0_9683,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(product(c,b),product(b,a)),bigC(c,b,b)) != product(product(product(c,b),product(b,a)),bigC(c,b,b))
    | product(product(product(c,b),product(b,a)),bigC(c,b,b)) = product(product(b,c),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(b,a)),bigC(c,b,b)),product(product(product(c,b),product(b,a)),bigC(c,b,b))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_9684,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(product(c,b),product(b,a)),bigC(c,b,b)) = product(product(b,c),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),bigC(c,b,b)),product(product(product(c,b),product(b,a)),bigC(c,b,b))) )],[refute_0_9682,refute_0_9683]) ).

cnf(refute_0_9685,plain,
    product(product(product(c,b),product(b,a)),bigC(c,b,b)) = product(product(b,c),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_9684]) ).

cnf(refute_0_9686,plain,
    ( product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) != product(product(product(c,b),product(b,a)),bigC(c,b,b))
    | product(product(product(c,b),product(b,a)),bigC(c,b,b)) != product(product(b,c),bigC(c,b,b))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(b,c),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(b,c),bigC(c,b,b))) ),[0],$fot(product(product(product(c,b),product(b,a)),bigC(c,b,b)))]]) ).

cnf(refute_0_9687,plain,
    ( product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) != product(product(product(c,b),product(b,a)),bigC(c,b,b))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(b,c),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),bigC(c,b,b)),product(product(b,c),bigC(c,b,b))) )],[refute_0_9685,refute_0_9686]) ).

cnf(refute_0_9688,plain,
    product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(b,c),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(product(c,b),product(b,a)),bigC(c,b,b))) )],[refute_0_9681,refute_0_9687]) ).

cnf(refute_0_9689,plain,
    product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))))]]) ).

cnf(refute_0_9690,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(b,product(a,c))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) != product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(c,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_9691,plain,
    ( product(bigC(b,b,c),bigC(a,a,b)) != product(b,product(a,c))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(c,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(c,b),product(bigC(b,b,c),bigC(a,a,b)))) )],[refute_0_9689,refute_0_9690]) ).

cnf(refute_0_9692,plain,
    product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) = product(product(c,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,a,b)),product(b,product(a,c))) )],[refute_0_3297,refute_0_9691]) ).

cnf(refute_0_9693,plain,
    ( product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) != product(product(b,c),bigC(c,b,b))
    | product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) != product(product(c,b),product(b,product(a,c)))
    | product(product(c,b),product(b,product(a,c))) = product(product(b,c),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(b,c),bigC(c,b,b))) ),[0],$fot(product(product(c,b),product(b,product(a,c))))]]) ).

cnf(refute_0_9694,plain,
    ( product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))) != product(product(b,c),bigC(c,b,b))
    | product(product(c,b),product(b,product(a,c))) = product(product(b,c),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(c,b),product(b,product(a,c)))) )],[refute_0_9692,refute_0_9693]) ).

cnf(refute_0_9695,plain,
    product(product(c,b),product(b,product(a,c))) = product(product(b,c),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(b,b,c),bigC(a,a,b))),product(product(b,c),bigC(c,b,b))) )],[refute_0_9688,refute_0_9694]) ).

cnf(refute_0_9696,plain,
    bigC(c,B,product(b,c)) = product(product(c,B),product(product(b,c),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_9697,plain,
    ( bigC(c,B,product(b,c)) != product(product(c,B),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | bigC(c,B,product(b,c)) = product(product(c,B),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(b,c)),product(product(c,B),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_9698,plain,
    ( bigC(c,B,product(b,c)) != product(product(c,B),product(product(b,c),c))
    | bigC(c,B,product(b,c)) = product(product(c,B),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_9697]) ).

cnf(refute_0_9699,plain,
    bigC(c,B,product(b,c)) = product(product(c,B),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,c)),product(product(c,B),product(product(b,c),c))) )],[refute_0_9696,refute_0_9698]) ).

cnf(refute_0_9700,plain,
    ( bigC(c,B,product(b,c)) != product(product(c,B),product(b,product(a,c)))
    | product(product(c,B),product(b,product(a,c))) = bigC(c,B,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,B,product(b,c)))),bind(Y,$fot(product(product(c,B),product(b,product(a,c)))))]]) ).

cnf(refute_0_9701,plain,
    product(product(c,B),product(b,product(a,c))) = bigC(c,B,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,c)),product(product(c,B),product(b,product(a,c)))) )],[refute_0_9699,refute_0_9700]) ).

cnf(refute_0_9702,plain,
    product(product(c,b),product(b,product(a,c))) = bigC(c,b,product(b,c)),
    inference(subst,[],[refute_0_9701:[bind(B,$fot(b))]]) ).

cnf(refute_0_9703,plain,
    ( product(product(c,b),product(b,product(a,c))) != bigC(c,b,product(b,c))
    | product(product(c,b),product(b,product(a,c))) != product(product(b,c),bigC(c,b,b))
    | bigC(c,b,product(b,c)) = product(product(b,c),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(b,product(a,c))),product(product(b,c),bigC(c,b,b))) ),[0],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_9704,plain,
    ( product(product(c,b),product(b,product(a,c))) != product(product(b,c),bigC(c,b,b))
    | bigC(c,b,product(b,c)) = product(product(b,c),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,product(a,c))),bigC(c,b,product(b,c))) )],[refute_0_9702,refute_0_9703]) ).

cnf(refute_0_9705,plain,
    bigC(c,b,product(b,c)) = product(product(b,c),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,product(a,c))),product(product(b,c),bigC(c,b,b))) )],[refute_0_9695,refute_0_9704]) ).

cnf(refute_0_9706,plain,
    product(product(b,c),bigC(c,b,b)) = product(product(b,c),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(product(b,c),bigC(c,b,b)))]]) ).

cnf(refute_0_9707,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(b,c),bigC(c,b,b)) != product(product(b,c),bigC(c,b,b))
    | product(product(b,c),bigC(c,b,b)) = product(product(b,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(c,b,b)),product(product(b,c),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_9708,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(b,c),bigC(c,b,b)) = product(product(b,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(c,b,b)),product(product(b,c),bigC(c,b,b))) )],[refute_0_9706,refute_0_9707]) ).

cnf(refute_0_9709,plain,
    product(product(b,c),bigC(c,b,b)) = product(product(b,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_9708]) ).

cnf(refute_0_9710,plain,
    ( bigC(c,b,product(b,c)) != product(product(b,c),bigC(c,b,b))
    | product(product(b,c),bigC(c,b,b)) != product(product(b,c),bigC(b,b,c))
    | bigC(c,b,product(b,c)) = product(product(b,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,product(b,c)),product(product(b,c),bigC(b,b,c))) ),[0],$fot(product(product(b,c),bigC(c,b,b)))]]) ).

cnf(refute_0_9711,plain,
    ( bigC(c,b,product(b,c)) != product(product(b,c),bigC(c,b,b))
    | bigC(c,b,product(b,c)) = product(product(b,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(c,b,b)),product(product(b,c),bigC(b,b,c))) )],[refute_0_9709,refute_0_9710]) ).

cnf(refute_0_9712,plain,
    bigC(c,b,product(b,c)) = product(product(b,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(product(b,c),bigC(c,b,b))) )],[refute_0_9705,refute_0_9711]) ).

cnf(refute_0_9713,plain,
    ( bigC(c,b,product(b,c)) != product(product(b,c),bigC(b,b,c))
    | product(product(b,c),bigC(b,b,c)) = bigC(c,b,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,product(b,c)))),bind(Y,$fot(product(product(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_9714,plain,
    product(product(b,c),bigC(b,b,c)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(product(b,c),bigC(b,b,c))) )],[refute_0_9712,refute_0_9713]) ).

cnf(refute_0_9715,plain,
    product(product(product(b,c),bigC(b,b,c)),c) = product(product(product(b,c),bigC(b,b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),bigC(b,b,c)),c))]]) ).

cnf(refute_0_9716,plain,
    ( product(product(b,c),bigC(b,b,c)) != bigC(c,b,product(b,c))
    | product(product(product(b,c),bigC(b,b,c)),c) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(product(b,c),bigC(b,b,c)),c) = product(bigC(c,b,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),bigC(b,b,c)),c),product(product(product(b,c),bigC(b,b,c)),c)) ),[1,0],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_9717,plain,
    ( product(product(b,c),bigC(b,b,c)) != bigC(c,b,product(b,c))
    | product(product(product(b,c),bigC(b,b,c)),c) = product(bigC(c,b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),bigC(b,b,c)),c),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_9715,refute_0_9716]) ).

cnf(refute_0_9718,plain,
    product(product(product(b,c),bigC(b,b,c)),c) = product(bigC(c,b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,b,c)),bigC(c,b,product(b,c))) )],[refute_0_9714,refute_0_9717]) ).

cnf(refute_0_9719,plain,
    ( product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(product(b,c),bigC(b,b,c)),c) != product(bigC(c,b,product(b,c)),c)
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(bigC(c,b,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(bigC(c,b,product(b,c)),c)) ),[0],$fot(product(product(product(b,c),bigC(b,b,c)),c))]]) ).

cnf(refute_0_9720,plain,
    ( product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) != product(product(product(b,c),bigC(b,b,c)),c)
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(bigC(c,b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),bigC(b,b,c)),c),product(bigC(c,b,product(b,c)),c)) )],[refute_0_9718,refute_0_9719]) ).

cnf(refute_0_9721,plain,
    product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(bigC(c,b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(product(product(b,c),bigC(b,b,c)),c)) )],[refute_0_9635,refute_0_9720]) ).

cnf(refute_0_9722,plain,
    product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))))]]) ).

cnf(refute_0_9723,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))
    | product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9724,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(bigC(b,b,c),bigC(b,product(c,a),product(c,b)))) )],[refute_0_9722,refute_0_9723]) ).

cnf(refute_0_9725,plain,
    product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_9724]) ).

cnf(refute_0_9726,plain,
    product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c))]]) ).

cnf(refute_0_9727,plain,
    ( product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(bigC(b,b,c),bigC(b,a,b))
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) != product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c)
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(bigC(b,b,c),bigC(b,a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c)) ),[1,0],$fot(product(bigC(b,b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_9728,plain,
    ( product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))) != product(bigC(b,b,c),bigC(b,a,b))
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(bigC(b,b,c),bigC(b,a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c)) )],[refute_0_9726,refute_0_9727]) ).

cnf(refute_0_9729,plain,
    product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) = product(product(bigC(b,b,c),bigC(b,a,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9725,refute_0_9728]) ).

cnf(refute_0_9730,plain,
    ( product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) != product(bigC(c,b,product(b,c)),c)
    | product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) != product(product(bigC(b,b,c),bigC(b,a,b)),c)
    | product(product(bigC(b,b,c),bigC(b,a,b)),c) = product(bigC(c,b,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(bigC(c,b,product(b,c)),c)) ),[0],$fot(product(product(bigC(b,b,c),bigC(b,a,b)),c))]]) ).

cnf(refute_0_9731,plain,
    ( product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c) != product(bigC(c,b,product(b,c)),c)
    | product(product(bigC(b,b,c),bigC(b,a,b)),c) = product(bigC(c,b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(product(bigC(b,b,c),bigC(b,a,b)),c)) )],[refute_0_9729,refute_0_9730]) ).

cnf(refute_0_9732,plain,
    product(product(bigC(b,b,c),bigC(b,a,b)),c) = product(bigC(c,b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,product(c,a),product(c,b))),c),product(bigC(c,b,product(b,c)),c)) )],[refute_0_9721,refute_0_9731]) ).

cnf(refute_0_9733,plain,
    ( product(product(bigC(b,b,c),bigC(b,a,b)),c) != product(bigC(c,b,product(b,c)),c)
    | quotient(product(product(bigC(b,b,c),bigC(b,a,b)),c),c) != product(bigC(b,b,c),bigC(b,a,b))
    | quotient(product(bigC(c,b,product(b,c)),c),c) = product(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(b,b,c),bigC(b,a,b)),c),c),product(bigC(b,b,c),bigC(b,a,b))) ),[0,0],$fot(product(bigC(c,b,product(b,c)),c))]]) ).

cnf(refute_0_9734,plain,
    ( quotient(product(product(bigC(b,b,c),bigC(b,a,b)),c),c) != product(bigC(b,b,c),bigC(b,a,b))
    | quotient(product(bigC(c,b,product(b,c)),c),c) = product(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,a,b)),c),product(bigC(c,b,product(b,c)),c)) )],[refute_0_9732,refute_0_9733]) ).

cnf(refute_0_9735,plain,
    quotient(product(bigC(c,b,product(b,c)),c),c) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(b,b,c),bigC(b,a,b)),c),c),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9535,refute_0_9734]) ).

cnf(refute_0_9736,plain,
    quotient(product(bigC(c,b,product(b,c)),c),c) = bigC(c,b,product(b,c)),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(c,b,product(b,c)))),bind(B,$fot(c))]]) ).

cnf(refute_0_9737,plain,
    ( quotient(product(bigC(c,b,product(b,c)),c),c) != bigC(c,b,product(b,c))
    | quotient(product(bigC(c,b,product(b,c)),c),c) != product(bigC(b,b,c),bigC(b,a,b))
    | bigC(c,b,product(b,c)) = product(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,product(b,c)),c),c),product(bigC(b,b,c),bigC(b,a,b))) ),[0],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_9738,plain,
    ( quotient(product(bigC(c,b,product(b,c)),c),c) != product(bigC(b,b,c),bigC(b,a,b))
    | bigC(c,b,product(b,c)) = product(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,product(b,c)),c),c),bigC(c,b,product(b,c))) )],[refute_0_9736,refute_0_9737]) ).

cnf(refute_0_9739,plain,
    bigC(c,b,product(b,c)) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,product(b,c)),c),c),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9735,refute_0_9738]) ).

cnf(refute_0_9740,plain,
    ( bigC(c,b,product(b,c)) != product(bigC(b,b,c),bigC(b,a,b))
    | product(bigC(b,b,c),bigC(b,a,b)) = bigC(c,b,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,product(b,c)))),bind(Y,$fot(product(bigC(b,b,c),bigC(b,a,b))))]]) ).

cnf(refute_0_9741,plain,
    product(bigC(b,b,c),bigC(b,a,b)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9739,refute_0_9740]) ).

cnf(refute_0_9742,plain,
    product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_9743,plain,
    ( product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) != product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b))))
    | product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,a,b)
    | product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = product(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))),product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b))))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9744,plain,
    ( product(bigC(b,b,c),product(c,product(c,b))) != bigC(b,a,b)
    | product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = product(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))),product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b))))) )],[refute_0_9742,refute_0_9743]) ).

cnf(refute_0_9745,plain,
    product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_1133,refute_0_9744]) ).

cnf(refute_0_9746,plain,
    ( product(bigC(b,b,c),bigC(b,a,b)) != bigC(c,b,product(b,c))
    | product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) != product(bigC(b,b,c),bigC(b,a,b))
    | product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = bigC(c,b,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))))),bind(Y,$fot(product(bigC(b,b,c),bigC(b,a,b)))),bind(Z,$fot(bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_9747,plain,
    ( product(bigC(b,b,c),bigC(b,a,b)) != bigC(c,b,product(b,c))
    | product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9745,refute_0_9746]) ).

cnf(refute_0_9748,plain,
    product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,a,b)),bigC(c,b,product(b,c))) )],[refute_0_9741,refute_0_9747]) ).

cnf(refute_0_9749,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b))))
    | product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))) != bigC(c,b,product(b,c))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = bigC(c,b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),bigC(c,b,product(b,c))) ),[0],$fot(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_9750,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b))))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = bigC(c,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b)))),bigC(c,b,product(b,c))) )],[refute_0_9748,refute_0_9749]) ).

cnf(refute_0_9751,plain,
    difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) = bigC(c,b,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),product(c,product(c,b))))) )],[refute_0_9534,refute_0_9750]) ).

cnf(refute_0_9752,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != bigC(c,b,product(b,c))
    | difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | bigC(c,b,product(b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) ),[0],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_9753,plain,
    ( difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | bigC(c,b,product(b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),bigC(c,b,product(b,c))) )],[refute_0_9751,refute_0_9752]) ).

cnf(refute_0_9754,plain,
    bigC(c,b,product(b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9519,refute_0_9753]) ).

cnf(refute_0_9755,plain,
    product(product(b,c),bigC(b,b,c)) = bigC(b,c,product(b,c)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_86,$fot(c))]]) ).

cnf(refute_0_9756,plain,
    ( bigC(c,b,product(b,c)) != product(product(b,c),bigC(b,b,c))
    | product(product(b,c),bigC(b,b,c)) != bigC(b,c,product(b,c))
    | bigC(c,b,product(b,c)) = bigC(b,c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) ),[0],$fot(product(product(b,c),bigC(b,b,c)))]]) ).

cnf(refute_0_9757,plain,
    ( bigC(c,b,product(b,c)) != product(product(b,c),bigC(b,b,c))
    | bigC(c,b,product(b,c)) = bigC(b,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,b,c)),bigC(b,c,product(b,c))) )],[refute_0_9755,refute_0_9756]) ).

cnf(refute_0_9758,plain,
    bigC(c,b,product(b,c)) = bigC(b,c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(product(b,c),bigC(b,b,c))) )],[refute_0_9712,refute_0_9757]) ).

cnf(refute_0_9759,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | bigC(c,b,product(b,c)) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,product(b,c)),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) ),[0],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_9760,plain,
    ( bigC(c,b,product(b,c)) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_9759]) ).

cnf(refute_0_9761,plain,
    bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9754,refute_0_9760]) ).

cnf(refute_0_9762,plain,
    difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15)))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(X_88,product(X_88,X_15)))),bind(X_27,$fot(X_88))]]) ).

cnf(refute_0_9763,plain,
    quotient(X_88,product(X_88,product(X_88,X_15))) = product(product(X_15,X_88),X_88),
    inference(subst,[],[refute_0_521:[bind(X_16,$fot(X_88))]]) ).

cnf(refute_0_9764,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15))))
    | quotient(X_88,product(X_88,product(X_88,X_15))) != product(product(X_15,X_88),X_88)
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15))))) ),[1,1],$fot(product(product(X_15,X_88),X_88))]]) ).

cnf(refute_0_9765,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15))))
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) ),
    inference(resolve,[$cnf( $equal(quotient(X_88,product(X_88,product(X_88,X_15))),product(product(X_15,X_88),X_88)) )],[refute_0_9763,refute_0_9764]) ).

cnf(refute_0_9766,plain,
    difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)),
    inference(resolve,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15))))) )],[refute_0_9762,refute_0_9765]) ).

cnf(refute_0_9767,plain,
    product(product(X_88,X_15),X_88) = bigC(X_88,X_15,X_88),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(X_88)),bind(X_22,$fot(X_15))]]) ).

cnf(refute_0_9768,plain,
    product(X_88,product(X_15,X_15)) = product(X_88,product(X_15,X_15)),
    introduced(tautology,[refl,[$fot(product(X_88,product(X_15,X_15)))]]) ).

cnf(refute_0_9769,plain,
    ( product(X_15,X_15) != X_15
    | product(X_88,product(X_15,X_15)) != product(X_88,product(X_15,X_15))
    | product(X_88,product(X_15,X_15)) = product(X_88,X_15) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_88,product(X_15,X_15)),product(X_88,product(X_15,X_15))) ),[1,1],$fot(X_15)]]) ).

cnf(refute_0_9770,plain,
    ( product(X_15,X_15) != X_15
    | product(X_88,product(X_15,X_15)) = product(X_88,X_15) ),
    inference(resolve,[$cnf( $equal(product(X_88,product(X_15,X_15)),product(X_88,product(X_15,X_15))) )],[refute_0_9768,refute_0_9769]) ).

cnf(refute_0_9771,plain,
    product(X_88,product(X_15,X_15)) = product(X_88,X_15),
    inference(resolve,[$cnf( $equal(product(X_15,X_15),X_15) )],[refute_0_2421,refute_0_9770]) ).

cnf(refute_0_9772,plain,
    product(product(X_88,X_15),product(X_88,X_15)) = product(X_88,product(X_15,X_15)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(X_88)),bind(X_65,$fot(X_15)),bind(X_66,$fot(X_15))]]) ).

cnf(refute_0_9773,plain,
    ( product(X_88,product(X_15,X_15)) != product(X_88,X_15)
    | product(product(X_88,X_15),product(X_88,X_15)) != product(X_88,product(X_15,X_15))
    | product(product(X_88,X_15),product(X_88,X_15)) = product(X_88,X_15) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(X_88,X_15),product(X_88,X_15)))),bind(Y,$fot(product(X_88,product(X_15,X_15)))),bind(Z,$fot(product(X_88,X_15)))]]) ).

cnf(refute_0_9774,plain,
    ( product(X_88,product(X_15,X_15)) != product(X_88,X_15)
    | product(product(X_88,X_15),product(X_88,X_15)) = product(X_88,X_15) ),
    inference(resolve,[$cnf( $equal(product(product(X_88,X_15),product(X_88,X_15)),product(X_88,product(X_15,X_15))) )],[refute_0_9772,refute_0_9773]) ).

cnf(refute_0_9775,plain,
    product(product(X_88,X_15),product(X_88,X_15)) = product(X_88,X_15),
    inference(resolve,[$cnf( $equal(product(X_88,product(X_15,X_15)),product(X_88,X_15)) )],[refute_0_9771,refute_0_9774]) ).

cnf(refute_0_9776,plain,
    product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = product(product(product(X_88,X_15),product(X_88,X_15)),X_88),
    introduced(tautology,[refl,[$fot(product(product(product(X_88,X_15),product(X_88,X_15)),X_88))]]) ).

cnf(refute_0_9777,plain,
    ( product(product(X_88,X_15),product(X_88,X_15)) != product(X_88,X_15)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) != product(product(product(X_88,X_15),product(X_88,X_15)),X_88)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = product(product(X_88,X_15),X_88) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_88,X_15),product(X_88,X_15)),X_88),product(product(product(X_88,X_15),product(X_88,X_15)),X_88)) ),[1,0],$fot(product(X_88,X_15))]]) ).

cnf(refute_0_9778,plain,
    ( product(product(X_88,X_15),product(X_88,X_15)) != product(X_88,X_15)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = product(product(X_88,X_15),X_88) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_88,X_15),product(X_88,X_15)),X_88),product(product(product(X_88,X_15),product(X_88,X_15)),X_88)) )],[refute_0_9776,refute_0_9777]) ).

cnf(refute_0_9779,plain,
    product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = product(product(X_88,X_15),X_88),
    inference(resolve,[$cnf( $equal(product(product(X_88,X_15),product(X_88,X_15)),product(X_88,X_15)) )],[refute_0_9775,refute_0_9778]) ).

cnf(refute_0_9780,plain,
    ( product(product(X_88,X_15),X_88) != bigC(X_88,X_15,X_88)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) != product(product(X_88,X_15),X_88)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = bigC(X_88,X_15,X_88) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(X_88,X_15),product(X_88,X_15)),X_88))),bind(Y,$fot(product(product(X_88,X_15),X_88))),bind(Z,$fot(bigC(X_88,X_15,X_88)))]]) ).

cnf(refute_0_9781,plain,
    ( product(product(X_88,X_15),X_88) != bigC(X_88,X_15,X_88)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = bigC(X_88,X_15,X_88) ),
    inference(resolve,[$cnf( $equal(product(product(product(X_88,X_15),product(X_88,X_15)),X_88),product(product(X_88,X_15),X_88)) )],[refute_0_9779,refute_0_9780]) ).

cnf(refute_0_9782,plain,
    product(product(product(X_88,X_15),product(X_88,X_15)),X_88) = bigC(X_88,X_15,X_88),
    inference(resolve,[$cnf( $equal(product(product(X_88,X_15),X_88),bigC(X_88,X_15,X_88)) )],[refute_0_9767,refute_0_9781]) ).

cnf(refute_0_9783,plain,
    product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15)))) = product(product(product(X_88,X_15),product(X_88,X_15)),X_88),
    inference(subst,[],[refute_0_4241:[bind(A,$fot(X_88)),bind(B,$fot(product(X_88,X_15))),bind(X_29,$fot(product(X_88,X_15)))]]) ).

cnf(refute_0_9784,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15))))
    | product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15)))) != product(product(product(X_88,X_15),product(X_88,X_15)),X_88)
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(product(X_88,X_15),product(X_88,X_15)),X_88) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))))),bind(Y,$fot(product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15)))))),bind(Z,$fot(product(product(product(X_88,X_15),product(X_88,X_15)),X_88)))]]) ).

cnf(refute_0_9785,plain,
    ( product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15)))) != product(product(product(X_88,X_15),product(X_88,X_15)),X_88)
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(product(X_88,X_15),product(X_88,X_15)),X_88) ),
    inference(resolve,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15))))) )],[refute_0_9762,refute_0_9784]) ).

cnf(refute_0_9786,plain,
    difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = product(product(product(X_88,X_15),product(X_88,X_15)),X_88),
    inference(resolve,[$cnf( $equal(product(product(X_88,product(X_88,X_15)),quotient(X_88,product(X_88,product(X_88,X_15)))),product(product(product(X_88,X_15),product(X_88,X_15)),X_88)) )],[refute_0_9783,refute_0_9785]) ).

cnf(refute_0_9787,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(product(X_88,X_15),product(X_88,X_15)),X_88)
    | product(product(product(X_88,X_15),product(X_88,X_15)),X_88) != bigC(X_88,X_15,X_88)
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = bigC(X_88,X_15,X_88) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))))),bind(Y,$fot(product(product(product(X_88,X_15),product(X_88,X_15)),X_88))),bind(Z,$fot(bigC(X_88,X_15,X_88)))]]) ).

cnf(refute_0_9788,plain,
    ( product(product(product(X_88,X_15),product(X_88,X_15)),X_88) != bigC(X_88,X_15,X_88)
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = bigC(X_88,X_15,X_88) ),
    inference(resolve,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),product(product(product(X_88,X_15),product(X_88,X_15)),X_88)) )],[refute_0_9786,refute_0_9787]) ).

cnf(refute_0_9789,plain,
    difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) = bigC(X_88,X_15,X_88),
    inference(resolve,[$cnf( $equal(product(product(product(X_88,X_15),product(X_88,X_15)),X_88),bigC(X_88,X_15,X_88)) )],[refute_0_9782,refute_0_9788]) ).

cnf(refute_0_9790,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != bigC(X_88,X_15,X_88)
    | difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))
    | bigC(X_88,X_15,X_88) = product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))) ),[0],$fot(bigC(X_88,X_15,X_88))]]) ).

cnf(refute_0_9791,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))
    | bigC(X_88,X_15,X_88) = product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) ),
    inference(resolve,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),bigC(X_88,X_15,X_88)) )],[refute_0_9789,refute_0_9790]) ).

cnf(refute_0_9792,plain,
    product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88)) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(X_15)),bind(X_44,$fot(X_88)),bind(X_45,$fot(product(X_88,X_15)))]]) ).

cnf(refute_0_9793,plain,
    product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) = product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88)),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(X_88)),bind(B,$fot(product(X_88,X_15))),bind(D,$fot(X_88)),bind(X_84,$fot(X_15))]]) ).

cnf(refute_0_9794,plain,
    ( product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88)) != bigC(X_88,product(X_15,X_88),product(X_88,X_15))
    | product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) != product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88))
    | product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)))),bind(Y,$fot(product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88)))),bind(Z,$fot(bigC(X_88,product(X_15,X_88),product(X_88,X_15))))]]) ).

cnf(refute_0_9795,plain,
    ( product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88)) != bigC(X_88,product(X_15,X_88),product(X_88,X_15))
    | product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)) ),
    inference(resolve,[$cnf( $equal(product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)),product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88))) )],[refute_0_9793,refute_0_9794]) ).

cnf(refute_0_9796,plain,
    product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)),
    inference(resolve,[$cnf( $equal(product(bigC(X_88,X_88,X_15),product(product(X_88,X_15),X_88)),bigC(X_88,product(X_15,X_88),product(X_88,X_15))) )],[refute_0_9792,refute_0_9795]) ).

cnf(refute_0_9797,plain,
    ( bigC(X_88,X_15,X_88) != product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))
    | product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)) != bigC(X_88,product(X_15,X_88),product(X_88,X_15))
    | bigC(X_88,X_15,X_88) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(X_88,X_15,X_88),bigC(X_88,product(X_15,X_88),product(X_88,X_15))) ),[0],$fot(product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)))]]) ).

cnf(refute_0_9798,plain,
    ( bigC(X_88,X_15,X_88) != product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))
    | bigC(X_88,X_15,X_88) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)) ),
    inference(resolve,[$cnf( $equal(product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88)),bigC(X_88,product(X_15,X_88),product(X_88,X_15))) )],[refute_0_9796,refute_0_9797]) ).

cnf(refute_0_9799,plain,
    ( difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))) != product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))
    | bigC(X_88,X_15,X_88) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)) ),
    inference(resolve,[$cnf( $equal(bigC(X_88,X_15,X_88),product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))) )],[refute_0_9791,refute_0_9798]) ).

cnf(refute_0_9800,plain,
    bigC(X_88,X_15,X_88) = bigC(X_88,product(X_15,X_88),product(X_88,X_15)),
    inference(resolve,[$cnf( $equal(difference(product(X_88,product(X_88,X_15)),difference(product(X_88,product(X_88,product(X_88,X_15))),product(X_88,product(X_88,X_15)))),product(product(X_88,product(X_88,X_15)),product(product(X_15,X_88),X_88))) )],[refute_0_9766,refute_0_9799]) ).

cnf(refute_0_9801,plain,
    ( bigC(X_88,X_15,X_88) != bigC(X_88,product(X_15,X_88),product(X_88,X_15))
    | bigC(X_88,product(X_15,X_88),product(X_88,X_15)) = bigC(X_88,X_15,X_88) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_88,X_15,X_88))),bind(Y,$fot(bigC(X_88,product(X_15,X_88),product(X_88,X_15))))]]) ).

cnf(refute_0_9802,plain,
    bigC(X_88,product(X_15,X_88),product(X_88,X_15)) = bigC(X_88,X_15,X_88),
    inference(resolve,[$cnf( $equal(bigC(X_88,X_15,X_88),bigC(X_88,product(X_15,X_88),product(X_88,X_15))) )],[refute_0_9800,refute_0_9801]) ).

cnf(refute_0_9803,plain,
    bigC(c,product(b,c),product(c,b)) = bigC(c,b,c),
    inference(subst,[],[refute_0_9802:[bind(X_15,$fot(b)),bind(X_88,$fot(c))]]) ).

cnf(refute_0_9804,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | bigC(c,product(b,c),product(c,b)) != bigC(c,b,c)
    | bigC(c,product(b,c),product(c,b)) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(b,c),product(c,b)))),bind(Y,$fot(bigC(c,b,c))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_9805,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | bigC(c,product(b,c),product(c,b)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),product(c,b)),bigC(c,b,c)) )],[refute_0_9803,refute_0_9804]) ).

cnf(refute_0_9806,plain,
    bigC(c,product(b,c),product(c,b)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_9805]) ).

cnf(refute_0_9807,plain,
    bigC(product(c,b),difference(product(c,b),bigC(b,a,b)),X_23) = product(bigC(b,a,b),product(X_23,product(c,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(b,a,b))),bind(X_21,$fot(product(c,b)))]]) ).

cnf(refute_0_9808,plain,
    ( bigC(product(c,b),difference(product(c,b),bigC(b,a,b)),X_23) != product(bigC(b,a,b),product(X_23,product(c,b)))
    | difference(product(c,b),bigC(b,a,b)) != c
    | bigC(product(c,b),c,X_23) = product(bigC(b,a,b),product(X_23,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),bigC(b,a,b)),X_23),product(bigC(b,a,b),product(X_23,product(c,b)))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_9809,plain,
    ( bigC(product(c,b),difference(product(c,b),bigC(b,a,b)),X_23) != product(bigC(b,a,b),product(X_23,product(c,b)))
    | bigC(product(c,b),c,X_23) = product(bigC(b,a,b),product(X_23,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1318,refute_0_9808]) ).

cnf(refute_0_9810,plain,
    bigC(product(c,b),c,X_23) = product(bigC(b,a,b),product(X_23,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),difference(product(c,b),bigC(b,a,b)),X_23),product(bigC(b,a,b),product(X_23,product(c,b)))) )],[refute_0_9807,refute_0_9809]) ).

cnf(refute_0_9811,plain,
    bigC(quotient(product(c,b),product(b,c)),product(b,c),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(c,b))),bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_9812,plain,
    quotient(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(a,b),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_9813,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | quotient(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(a,b)
    | quotient(product(c,b),product(b,bigC(c,a,b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(a,b)) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_9814,plain,
    ( quotient(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(a,b)
    | quotient(product(c,b),product(b,bigC(c,a,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_9813]) ).

cnf(refute_0_9815,plain,
    quotient(product(c,b),product(b,bigC(c,a,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(a,b)) )],[refute_0_9812,refute_0_9814]) ).

cnf(refute_0_9816,plain,
    quotient(product(c,b),product(b,bigC(c,a,b))) = quotient(product(c,b),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_9817,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | quotient(product(c,b),product(b,bigC(c,a,b))) != quotient(product(c,b),product(b,bigC(c,a,b)))
    | quotient(product(c,b),product(b,bigC(c,a,b))) = quotient(product(c,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),quotient(product(c,b),product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_9818,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | quotient(product(c,b),product(b,bigC(c,a,b))) = quotient(product(c,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),quotient(product(c,b),product(b,bigC(c,a,b)))) )],[refute_0_9816,refute_0_9817]) ).

cnf(refute_0_9819,plain,
    quotient(product(c,b),product(b,bigC(c,a,b))) = quotient(product(c,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_9818]) ).

cnf(refute_0_9820,plain,
    ( quotient(product(c,b),product(b,bigC(c,a,b))) != product(a,b)
    | quotient(product(c,b),product(b,bigC(c,a,b))) != quotient(product(c,b),product(b,c))
    | quotient(product(c,b),product(b,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),product(a,b)) ),[0],$fot(quotient(product(c,b),product(b,c)))]]) ).

cnf(refute_0_9821,plain,
    ( quotient(product(c,b),product(b,bigC(c,a,b))) != product(a,b)
    | quotient(product(c,b),product(b,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),quotient(product(c,b),product(b,c))) )],[refute_0_9819,refute_0_9820]) ).

cnf(refute_0_9822,plain,
    quotient(product(c,b),product(b,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),product(a,b)) )],[refute_0_9815,refute_0_9821]) ).

cnf(refute_0_9823,plain,
    ( bigC(quotient(product(c,b),product(b,c)),product(b,c),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | quotient(product(c,b),product(b,c)) != product(a,b)
    | bigC(product(a,b),product(b,c),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,b),product(b,c)),product(b,c),X_23),product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_9824,plain,
    ( bigC(quotient(product(c,b),product(b,c)),product(b,c),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | bigC(product(a,b),product(b,c),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,c)),product(a,b)) )],[refute_0_9822,refute_0_9823]) ).

cnf(refute_0_9825,plain,
    bigC(product(a,b),product(b,c),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,c)),product(b,c),X_23),product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))) )],[refute_0_9811,refute_0_9824]) ).

cnf(refute_0_9826,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(product(a,b),product(b,bigC(c,a,b))),product(C,product(a,b))),
    inference(subst,[],[sos08:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_9827,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != product(product(product(a,b),product(b,bigC(c,a,b))),product(C,product(a,b)))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(c,b),product(C,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),product(product(product(a,b),product(b,bigC(c,a,b))),product(C,product(a,b)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_9828,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != product(product(product(a,b),product(b,bigC(c,a,b))),product(C,product(a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(c,b),product(C,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_9827]) ).

cnf(refute_0_9829,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(c,b),product(C,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),product(product(product(a,b),product(b,bigC(c,a,b))),product(C,product(a,b)))) )],[refute_0_9826,refute_0_9828]) ).

cnf(refute_0_9830,plain,
    bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,bigC(c,a,b))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(c,b))),bind(X_22,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_9831,plain,
    ( bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,bigC(c,a,b)))))
    | quotient(product(c,b),product(b,bigC(c,a,b))) != product(a,b)
    | bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,b),product(X_23,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23),product(product(c,b),product(X_23,quotient(product(c,b),product(b,bigC(c,a,b)))))) ),[1,1,1],$fot(product(a,b))]]) ).

cnf(refute_0_9832,plain,
    ( bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,bigC(c,a,b)))))
    | bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,b),product(X_23,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),product(a,b)) )],[refute_0_9815,refute_0_9831]) ).

cnf(refute_0_9833,plain,
    bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,b),product(X_23,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23),product(product(c,b),product(X_23,quotient(product(c,b),product(b,bigC(c,a,b)))))) )],[refute_0_9830,refute_0_9832]) ).

cnf(refute_0_9834,plain,
    product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = product(b,quotient(product(c,b),product(b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_9835,plain,
    ( product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) != product(b,quotient(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),product(b,bigC(c,a,b))) != product(a,b)
    | product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = product(b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,quotient(product(c,b),product(b,bigC(c,a,b)))),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_9836,plain,
    ( quotient(product(c,b),product(b,bigC(c,a,b))) != product(a,b)
    | product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = product(b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(product(c,b),product(b,bigC(c,a,b)))),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_9834,refute_0_9835]) ).

cnf(refute_0_9837,plain,
    product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = product(b,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,bigC(c,a,b))),product(a,b)) )],[refute_0_9815,refute_0_9836]) ).

cnf(refute_0_9838,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) != product(b,product(a,b))
    | product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))),bind(Y,$fot(product(b,product(a,b)))),bind(Z,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_9839,plain,
    ( product(b,product(a,b)) != bigC(b,a,b)
    | product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(product(c,b),product(b,bigC(c,a,b)))),product(b,product(a,b))) )],[refute_0_9837,refute_0_9838]) ).

cnf(refute_0_9840,plain,
    product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(b,a,b)) )],[refute_0_307,refute_0_9839]) ).

cnf(refute_0_9841,plain,
    product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) = product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))))]]) ).

cnf(refute_0_9842,plain,
    ( product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) != bigC(b,a,b)
    | product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) != product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))
    | product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) = product(product(c,X_23),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))),product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_9843,plain,
    ( product(b,quotient(product(c,b),product(b,bigC(c,a,b)))) != bigC(b,a,b)
    | product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) = product(product(c,X_23),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))),product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))) )],[refute_0_9841,refute_0_9842]) ).

cnf(refute_0_9844,plain,
    product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) = product(product(c,X_23),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(b,quotient(product(c,b),product(b,bigC(c,a,b)))),bigC(b,a,b)) )],[refute_0_9840,refute_0_9843]) ).

cnf(refute_0_9845,plain,
    bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))),
    inference(subst,[],[refute_0_6959:[bind(X_22,$fot(product(b,bigC(c,a,b)))),bind(X_63,$fot(c)),bind(X_64,$fot(b))]]) ).

cnf(refute_0_9846,plain,
    ( bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) != product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))
    | product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) != product(product(c,X_23),bigC(b,a,b))
    | bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,X_23),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23))),bind(Y,$fot(product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))))),bind(Z,$fot(product(product(c,X_23),bigC(b,a,b))))]]) ).

cnf(refute_0_9847,plain,
    ( product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))) != product(product(c,X_23),bigC(b,a,b))
    | bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,X_23),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23),product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b)))))) )],[refute_0_9845,refute_0_9846]) ).

cnf(refute_0_9848,plain,
    bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) = product(product(c,X_23),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(b,quotient(product(c,b),product(b,bigC(c,a,b))))),product(product(c,X_23),bigC(b,a,b))) )],[refute_0_9844,refute_0_9847]) ).

cnf(refute_0_9849,plain,
    ( bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) != product(product(c,X_23),bigC(b,a,b))
    | bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) != product(product(c,b),product(X_23,product(a,b)))
    | product(product(c,X_23),bigC(b,a,b)) = product(product(c,b),product(X_23,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23),product(product(c,b),product(X_23,product(a,b)))) ),[0],$fot(product(product(c,X_23),bigC(b,a,b)))]]) ).

cnf(refute_0_9850,plain,
    ( bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23) != product(product(c,b),product(X_23,product(a,b)))
    | product(product(c,X_23),bigC(b,a,b)) = product(product(c,b),product(X_23,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23),product(product(c,X_23),bigC(b,a,b))) )],[refute_0_9848,refute_0_9849]) ).

cnf(refute_0_9851,plain,
    product(product(c,X_23),bigC(b,a,b)) = product(product(c,b),product(X_23,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)),X_23),product(product(c,b),product(X_23,product(a,b)))) )],[refute_0_9833,refute_0_9850]) ).

cnf(refute_0_9852,plain,
    ( product(product(c,X_23),bigC(b,a,b)) != product(product(c,b),product(X_23,product(a,b)))
    | product(product(c,b),product(X_23,product(a,b))) = product(product(c,X_23),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,X_23),bigC(b,a,b)))),bind(Y,$fot(product(product(c,b),product(X_23,product(a,b)))))]]) ).

cnf(refute_0_9853,plain,
    product(product(c,b),product(X_23,product(a,b))) = product(product(c,X_23),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(b,a,b)),product(product(c,b),product(X_23,product(a,b)))) )],[refute_0_9851,refute_0_9852]) ).

cnf(refute_0_9854,plain,
    product(product(c,b),product(C,product(a,b))) = product(product(c,C),bigC(b,a,b)),
    inference(subst,[],[refute_0_9853:[bind(X_23,$fot(C))]]) ).

cnf(refute_0_9855,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != product(product(c,b),product(C,product(a,b)))
    | product(product(c,b),product(C,product(a,b))) != product(product(c,C),bigC(b,a,b))
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(c,C),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),product(product(c,C),bigC(b,a,b))) ),[0],$fot(product(product(c,b),product(C,product(a,b))))]]) ).

cnf(refute_0_9856,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != product(product(c,b),product(C,product(a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(c,C),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(C,product(a,b))),product(product(c,C),bigC(b,a,b))) )],[refute_0_9854,refute_0_9855]) ).

cnf(refute_0_9857,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),C) = product(product(c,C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),product(product(c,b),product(C,product(a,b)))) )],[refute_0_9829,refute_0_9856]) ).

cnf(refute_0_9858,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),C) = bigC(product(a,b),product(b,bigC(c,a,b)),C),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),product(b,bigC(c,a,b)),C))]]) ).

cnf(refute_0_9859,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != bigC(product(a,b),product(b,bigC(c,a,b)),C)
    | product(b,bigC(c,a,b)) != product(b,c)
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) = bigC(product(a,b),product(b,c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),bigC(product(a,b),product(b,bigC(c,a,b)),C)) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_9860,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) = bigC(product(a,b),product(b,c),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),bigC(product(a,b),product(b,bigC(c,a,b)),C)) )],[refute_0_9858,refute_0_9859]) ).

cnf(refute_0_9861,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),C) = bigC(product(a,b),product(b,c),C),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_9860]) ).

cnf(refute_0_9862,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != bigC(product(a,b),product(b,c),C)
    | bigC(product(a,b),product(b,bigC(c,a,b)),C) != product(product(c,C),bigC(b,a,b))
    | bigC(product(a,b),product(b,c),C) = product(product(c,C),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),product(product(c,C),bigC(b,a,b))) ),[0],$fot(bigC(product(a,b),product(b,c),C))]]) ).

cnf(refute_0_9863,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),C) != product(product(c,C),bigC(b,a,b))
    | bigC(product(a,b),product(b,c),C) = product(product(c,C),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),bigC(product(a,b),product(b,c),C)) )],[refute_0_9861,refute_0_9862]) ).

cnf(refute_0_9864,plain,
    bigC(product(a,b),product(b,c),C) = product(product(c,C),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),C),product(product(c,C),bigC(b,a,b))) )],[refute_0_9857,refute_0_9863]) ).

cnf(refute_0_9865,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = product(product(difference(product(c,b),bigC(b,a,b)),X_22),bigC(b,a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(b,a,b))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_9866,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) != product(product(difference(product(c,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | difference(product(c,b),bigC(b,a,b)) != c
    | bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = product(product(c,X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),product(product(difference(product(c,b),bigC(b,a,b)),X_22),bigC(b,a,b))) ),[1,0,0],$fot(c)]]) ).

cnf(refute_0_9867,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) != product(product(difference(product(c,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = product(product(c,X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1318,refute_0_9866]) ).

cnf(refute_0_9868,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = product(product(c,X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),product(product(difference(product(c,b),bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_9865,refute_0_9867]) ).

cnf(refute_0_9869,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)))]]) ).

cnf(refute_0_9870,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) != bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b))
    | difference(product(c,b),bigC(b,a,b)) != c
    | bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = bigC(c,X_22,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_9871,plain,
    ( difference(product(c,b),bigC(b,a,b)) != c
    | bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = bigC(c,X_22,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b))) )],[refute_0_9869,refute_0_9870]) ).

cnf(refute_0_9872,plain,
    bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) = bigC(c,X_22,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1318,refute_0_9871]) ).

cnf(refute_0_9873,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) != bigC(c,X_22,product(c,b))
    | bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) != product(product(c,X_22),bigC(b,a,b))
    | bigC(c,X_22,product(c,b)) = product(product(c,X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),product(product(c,X_22),bigC(b,a,b))) ),[0],$fot(bigC(c,X_22,product(c,b)))]]) ).

cnf(refute_0_9874,plain,
    ( bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)) != product(product(c,X_22),bigC(b,a,b))
    | bigC(c,X_22,product(c,b)) = product(product(c,X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),bigC(c,X_22,product(c,b))) )],[refute_0_9872,refute_0_9873]) ).

cnf(refute_0_9875,plain,
    bigC(c,X_22,product(c,b)) = product(product(c,X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),bigC(b,a,b)),X_22,product(c,b)),product(product(c,X_22),bigC(b,a,b))) )],[refute_0_9868,refute_0_9874]) ).

cnf(refute_0_9876,plain,
    ( bigC(c,X_22,product(c,b)) != product(product(c,X_22),bigC(b,a,b))
    | product(product(c,X_22),bigC(b,a,b)) = bigC(c,X_22,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,X_22,product(c,b)))),bind(Y,$fot(product(product(c,X_22),bigC(b,a,b))))]]) ).

cnf(refute_0_9877,plain,
    product(product(c,X_22),bigC(b,a,b)) = bigC(c,X_22,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(c,b)),product(product(c,X_22),bigC(b,a,b))) )],[refute_0_9875,refute_0_9876]) ).

cnf(refute_0_9878,plain,
    product(product(c,C),bigC(b,a,b)) = bigC(c,C,product(c,b)),
    inference(subst,[],[refute_0_9877:[bind(X_22,$fot(C))]]) ).

cnf(refute_0_9879,plain,
    ( bigC(product(a,b),product(b,c),C) != product(product(c,C),bigC(b,a,b))
    | product(product(c,C),bigC(b,a,b)) != bigC(c,C,product(c,b))
    | bigC(product(a,b),product(b,c),C) = bigC(c,C,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(b,c),C),bigC(c,C,product(c,b))) ),[0],$fot(product(product(c,C),bigC(b,a,b)))]]) ).

cnf(refute_0_9880,plain,
    ( bigC(product(a,b),product(b,c),C) != product(product(c,C),bigC(b,a,b))
    | bigC(product(a,b),product(b,c),C) = bigC(c,C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,C),bigC(b,a,b)),bigC(c,C,product(c,b))) )],[refute_0_9878,refute_0_9879]) ).

cnf(refute_0_9881,plain,
    bigC(product(a,b),product(b,c),C) = bigC(c,C,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,c),C),product(product(c,C),bigC(b,a,b))) )],[refute_0_9864,refute_0_9880]) ).

cnf(refute_0_9882,plain,
    bigC(product(a,b),product(b,c),X_23) = bigC(c,X_23,product(c,b)),
    inference(subst,[],[refute_0_9881:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_9883,plain,
    ( bigC(product(a,b),product(b,c),X_23) != bigC(c,X_23,product(c,b))
    | bigC(product(a,b),product(b,c),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | bigC(c,X_23,product(c,b)) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,c),X_23),product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))) ),[0],$fot(bigC(c,X_23,product(c,b)))]]) ).

cnf(refute_0_9884,plain,
    ( bigC(product(a,b),product(b,c),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | bigC(c,X_23,product(c,b)) = product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,c),X_23),bigC(c,X_23,product(c,b))) )],[refute_0_9882,refute_0_9883]) ).

cnf(refute_0_9885,plain,
    bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) = bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)))]]) ).

cnf(refute_0_9886,plain,
    ( bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) != bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c))
    | quotient(product(c,b),product(b,c)) != product(a,b)
    | bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) = bigC(product(a,b),X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)),bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_9887,plain,
    ( quotient(product(c,b),product(b,c)) != product(a,b)
    | bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) = bigC(product(a,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)),bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c))) )],[refute_0_9885,refute_0_9886]) ).

cnf(refute_0_9888,plain,
    bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) = bigC(product(a,b),X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,c)),product(a,b)) )],[refute_0_9822,refute_0_9887]) ).

cnf(refute_0_9889,plain,
    product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) = bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(c,b))),bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_9890,plain,
    ( bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) != bigC(product(a,b),X_23,product(b,c))
    | product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) != bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c))
    | product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) = bigC(product(a,b),X_23,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))))),bind(Y,$fot(bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)))),bind(Z,$fot(bigC(product(a,b),X_23,product(b,c))))]]) ).

cnf(refute_0_9891,plain,
    ( bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)) != bigC(product(a,b),X_23,product(b,c))
    | product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) = bigC(product(a,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))),bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c))) )],[refute_0_9889,refute_0_9890]) ).

cnf(refute_0_9892,plain,
    product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) = bigC(product(a,b),X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),product(b,c)),X_23,product(b,c)),bigC(product(a,b),X_23,product(b,c))) )],[refute_0_9888,refute_0_9891]) ).

cnf(refute_0_9893,plain,
    ( bigC(c,X_23,product(c,b)) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))) != bigC(product(a,b),X_23,product(b,c))
    | bigC(c,X_23,product(c,b)) = bigC(product(a,b),X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_23,product(c,b)),bigC(product(a,b),X_23,product(b,c))) ),[0],$fot(product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))))]]) ).

cnf(refute_0_9894,plain,
    ( bigC(c,X_23,product(c,b)) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | bigC(c,X_23,product(c,b)) = bigC(product(a,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_23,quotient(product(c,b),product(b,c)))),bigC(product(a,b),X_23,product(b,c))) )],[refute_0_9892,refute_0_9893]) ).

cnf(refute_0_9895,plain,
    ( bigC(product(a,b),product(b,c),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))
    | bigC(c,X_23,product(c,b)) = bigC(product(a,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(c,b)),product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))) )],[refute_0_9884,refute_0_9894]) ).

cnf(refute_0_9896,plain,
    bigC(c,X_23,product(c,b)) = bigC(product(a,b),X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,c),X_23),product(product(c,b),product(X_23,quotient(product(c,b),product(b,c))))) )],[refute_0_9825,refute_0_9895]) ).

cnf(refute_0_9897,plain,
    ( bigC(c,X_23,product(c,b)) != bigC(product(a,b),X_23,product(b,c))
    | bigC(product(a,b),X_23,product(b,c)) = bigC(c,X_23,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,X_23,product(c,b)))),bind(Y,$fot(bigC(product(a,b),X_23,product(b,c))))]]) ).

cnf(refute_0_9898,plain,
    bigC(product(a,b),X_23,product(b,c)) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(c,b)),bigC(product(a,b),X_23,product(b,c))) )],[refute_0_9896,refute_0_9897]) ).

cnf(refute_0_9899,plain,
    product(bigC(a,b,b),product(X_23,product(c,b))) = bigC(product(a,b),X_23,product(b,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_23)),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_9900,plain,
    ( bigC(product(a,b),X_23,product(b,c)) != bigC(c,X_23,product(c,b))
    | product(bigC(a,b,b),product(X_23,product(c,b))) != bigC(product(a,b),X_23,product(b,c))
    | product(bigC(a,b,b),product(X_23,product(c,b))) = bigC(c,X_23,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(X_23,product(c,b))))),bind(Y,$fot(bigC(product(a,b),X_23,product(b,c)))),bind(Z,$fot(bigC(c,X_23,product(c,b))))]]) ).

cnf(refute_0_9901,plain,
    ( bigC(product(a,b),X_23,product(b,c)) != bigC(c,X_23,product(c,b))
    | product(bigC(a,b,b),product(X_23,product(c,b))) = bigC(c,X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(X_23,product(c,b))),bigC(product(a,b),X_23,product(b,c))) )],[refute_0_9899,refute_0_9900]) ).

cnf(refute_0_9902,plain,
    product(bigC(a,b,b),product(X_23,product(c,b))) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_23,product(b,c)),bigC(c,X_23,product(c,b))) )],[refute_0_9898,refute_0_9901]) ).

cnf(refute_0_9903,plain,
    product(bigC(b,a,b),product(X_23,product(c,b))) = product(bigC(b,a,b),product(X_23,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(X_23,product(c,b))))]]) ).

cnf(refute_0_9904,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(X_23,product(c,b))) != product(bigC(b,a,b),product(X_23,product(c,b)))
    | product(bigC(b,a,b),product(X_23,product(c,b))) = product(bigC(a,b,b),product(X_23,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(c,b))),product(bigC(b,a,b),product(X_23,product(c,b)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9905,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(X_23,product(c,b))) = product(bigC(a,b,b),product(X_23,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(c,b))),product(bigC(b,a,b),product(X_23,product(c,b)))) )],[refute_0_9903,refute_0_9904]) ).

cnf(refute_0_9906,plain,
    product(bigC(b,a,b),product(X_23,product(c,b))) = product(bigC(a,b,b),product(X_23,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_9905]) ).

cnf(refute_0_9907,plain,
    ( product(bigC(a,b,b),product(X_23,product(c,b))) != bigC(c,X_23,product(c,b))
    | product(bigC(b,a,b),product(X_23,product(c,b))) != product(bigC(a,b,b),product(X_23,product(c,b)))
    | product(bigC(b,a,b),product(X_23,product(c,b))) = bigC(c,X_23,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),product(X_23,product(c,b))))),bind(Y,$fot(product(bigC(a,b,b),product(X_23,product(c,b))))),bind(Z,$fot(bigC(c,X_23,product(c,b))))]]) ).

cnf(refute_0_9908,plain,
    ( product(bigC(a,b,b),product(X_23,product(c,b))) != bigC(c,X_23,product(c,b))
    | product(bigC(b,a,b),product(X_23,product(c,b))) = bigC(c,X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(c,b))),product(bigC(a,b,b),product(X_23,product(c,b)))) )],[refute_0_9906,refute_0_9907]) ).

cnf(refute_0_9909,plain,
    product(bigC(b,a,b),product(X_23,product(c,b))) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(X_23,product(c,b))),bigC(c,X_23,product(c,b))) )],[refute_0_9902,refute_0_9908]) ).

cnf(refute_0_9910,plain,
    ( bigC(product(c,b),c,X_23) != product(bigC(b,a,b),product(X_23,product(c,b)))
    | product(bigC(b,a,b),product(X_23,product(c,b))) != bigC(c,X_23,product(c,b))
    | bigC(product(c,b),c,X_23) = bigC(c,X_23,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),c,X_23),bigC(c,X_23,product(c,b))) ),[0],$fot(product(bigC(b,a,b),product(X_23,product(c,b))))]]) ).

cnf(refute_0_9911,plain,
    ( bigC(product(c,b),c,X_23) != product(bigC(b,a,b),product(X_23,product(c,b)))
    | bigC(product(c,b),c,X_23) = bigC(c,X_23,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(c,b))),bigC(c,X_23,product(c,b))) )],[refute_0_9909,refute_0_9910]) ).

cnf(refute_0_9912,plain,
    bigC(product(c,b),c,X_23) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,X_23),product(bigC(b,a,b),product(X_23,product(c,b)))) )],[refute_0_9810,refute_0_9911]) ).

cnf(refute_0_9913,plain,
    bigC(product(c,b),c,product(b,c)) = bigC(c,product(b,c),product(c,b)),
    inference(subst,[],[refute_0_9912:[bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_9914,plain,
    ( bigC(c,product(b,c),product(c,b)) != bigC(a,b,b)
    | bigC(product(c,b),c,product(b,c)) != bigC(c,product(b,c),product(c,b))
    | bigC(product(c,b),c,product(b,c)) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),c,product(b,c)))),bind(Y,$fot(bigC(c,product(b,c),product(c,b)))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_9915,plain,
    ( bigC(c,product(b,c),product(c,b)) != bigC(a,b,b)
    | bigC(product(c,b),c,product(b,c)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(b,c)),bigC(c,product(b,c),product(c,b))) )],[refute_0_9913,refute_0_9914]) ).

cnf(refute_0_9916,plain,
    bigC(product(c,b),c,product(b,c)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),product(c,b)),bigC(a,b,b)) )],[refute_0_9806,refute_0_9915]) ).

cnf(refute_0_9917,plain,
    product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))))]]) ).

cnf(refute_0_9918,plain,
    ( bigC(product(c,b),c,product(b,c)) != bigC(a,b,b)
    | product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_9919,plain,
    ( bigC(product(c,b),c,product(b,c)) != bigC(a,b,b)
    | product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9917,refute_0_9918]) ).

cnf(refute_0_9920,plain,
    product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) = product(bigC(b,b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,product(b,c)),bigC(a,b,b)) )],[refute_0_9916,refute_0_9919]) ).

cnf(refute_0_9921,plain,
    ( bigC(b,c,product(b,c)) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))) != product(bigC(b,b,c),bigC(a,b,b))
    | bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,c,product(b,c)),product(bigC(b,b,c),bigC(a,b,b))) ),[0],$fot(product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))))]]) ).

cnf(refute_0_9922,plain,
    ( bigC(b,c,product(b,c)) != product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))
    | bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(product(c,b),c,product(b,c))),product(bigC(b,b,c),bigC(a,b,b))) )],[refute_0_9920,refute_0_9921]) ).

cnf(refute_0_9923,plain,
    bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),product(bigC(b,b,c),bigC(product(c,b),c,product(b,c)))) )],[refute_0_9761,refute_0_9922]) ).

cnf(refute_0_9924,plain,
    quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(quotient(product(a,b),product(b,c)),b))),bind(X_16,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_9925,plain,
    quotient(product(b,c),product(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c))))) = product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(quotient(product(a,b),product(b,c)))),bind(X_16,$fot(product(b,c)))]]) ).

cnf(refute_0_9926,plain,
    difference(product(b,c),difference(product(product(a,b),product(b,c)),product(b,c))) = product(product(b,c),quotient(product(a,b),product(b,c))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(b,c))),bind(X_27,$fot(product(a,b)))]]) ).

cnf(refute_0_9927,plain,
    ( difference(product(b,c),difference(product(product(a,b),product(b,c)),product(b,c))) != product(product(b,c),quotient(product(a,b),product(b,c)))
    | product(product(a,b),product(b,c)) != product(c,b)
    | difference(product(b,c),difference(product(c,b),product(b,c))) = product(product(b,c),quotient(product(a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),difference(product(product(a,b),product(b,c)),product(b,c))),product(product(b,c),quotient(product(a,b),product(b,c)))) ),[0,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_9928,plain,
    ( difference(product(b,c),difference(product(product(a,b),product(b,c)),product(b,c))) != product(product(b,c),quotient(product(a,b),product(b,c)))
    | difference(product(b,c),difference(product(c,b),product(b,c))) = product(product(b,c),quotient(product(a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,c)),product(c,b)) )],[refute_0_510,refute_0_9927]) ).

cnf(refute_0_9929,plain,
    difference(product(b,c),difference(product(c,b),product(b,c))) = product(product(b,c),quotient(product(a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(product(a,b),product(b,c)),product(b,c))),product(product(b,c),quotient(product(a,b),product(b,c)))) )],[refute_0_9926,refute_0_9928]) ).

cnf(refute_0_9930,plain,
    difference(product(b,c),difference(product(c,b),product(b,c))) = difference(product(b,c),difference(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(b,c),difference(product(c,b),product(b,c))))]]) ).

cnf(refute_0_9931,plain,
    ( difference(product(b,c),difference(product(c,b),product(b,c))) != difference(product(b,c),difference(product(c,b),product(b,c)))
    | difference(product(c,b),product(b,c)) != product(b,a)
    | difference(product(b,c),difference(product(c,b),product(b,c))) = difference(product(b,c),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),difference(product(c,b),product(b,c))),difference(product(b,c),difference(product(c,b),product(b,c)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_9932,plain,
    ( difference(product(c,b),product(b,c)) != product(b,a)
    | difference(product(b,c),difference(product(c,b),product(b,c))) = difference(product(b,c),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(c,b),product(b,c))),difference(product(b,c),difference(product(c,b),product(b,c)))) )],[refute_0_9930,refute_0_9931]) ).

cnf(refute_0_9933,plain,
    difference(product(b,c),difference(product(c,b),product(b,c))) = difference(product(b,c),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,c)),product(b,a)) )],[refute_0_9043,refute_0_9932]) ).

cnf(refute_0_9934,plain,
    ( difference(product(b,c),difference(product(c,b),product(b,c))) != difference(product(b,c),product(b,a))
    | difference(product(b,c),difference(product(c,b),product(b,c))) != product(product(b,c),quotient(product(a,b),product(b,c)))
    | difference(product(b,c),product(b,a)) = product(product(b,c),quotient(product(a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),difference(product(c,b),product(b,c))),product(product(b,c),quotient(product(a,b),product(b,c)))) ),[0],$fot(difference(product(b,c),product(b,a)))]]) ).

cnf(refute_0_9935,plain,
    ( difference(product(b,c),difference(product(c,b),product(b,c))) != product(product(b,c),quotient(product(a,b),product(b,c)))
    | difference(product(b,c),product(b,a)) = product(product(b,c),quotient(product(a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(c,b),product(b,c))),difference(product(b,c),product(b,a))) )],[refute_0_9933,refute_0_9934]) ).

cnf(refute_0_9936,plain,
    difference(product(b,c),product(b,a)) = product(product(b,c),quotient(product(a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(c,b),product(b,c))),product(product(b,c),quotient(product(a,b),product(b,c)))) )],[refute_0_9929,refute_0_9935]) ).

cnf(refute_0_9937,plain,
    ( difference(product(b,c),product(b,a)) != product(product(b,c),quotient(product(a,b),product(b,c)))
    | product(product(b,c),quotient(product(a,b),product(b,c))) = difference(product(b,c),product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,c),product(b,a)))),bind(Y,$fot(product(product(b,c),quotient(product(a,b),product(b,c)))))]]) ).

cnf(refute_0_9938,plain,
    product(product(b,c),quotient(product(a,b),product(b,c))) = difference(product(b,c),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,a)),product(product(b,c),quotient(product(a,b),product(b,c)))) )],[refute_0_9936,refute_0_9937]) ).

cnf(refute_0_9939,plain,
    ( product(product(b,c),quotient(product(a,b),product(b,c))) != difference(product(b,c),product(b,a))
    | quotient(product(b,c),product(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c))))) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c))))),product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))) ),[0,1,1],$fot(difference(product(b,c),product(b,a)))]]) ).

cnf(refute_0_9940,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c))))) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(a,b),product(b,c))),difference(product(b,c),product(b,a))) )],[refute_0_9938,refute_0_9939]) ).

cnf(refute_0_9941,plain,
    quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c))))),product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))) )],[refute_0_9925,refute_0_9940]) ).

cnf(refute_0_9942,plain,
    product(product(b,c),difference(product(b,c),product(b,a))) = product(b,a),
    inference(subst,[],[sos02:[bind(A,$fot(product(b,c))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_9943,plain,
    quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),
    introduced(tautology,[refl,[$fot(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))))]]) ).

cnf(refute_0_9944,plain,
    ( product(product(b,c),difference(product(b,c),product(b,a))) != product(b,a)
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) != quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a))))
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = quotient(product(b,c),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a))))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_9945,plain,
    ( product(product(b,c),difference(product(b,c),product(b,a))) != product(b,a)
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = quotient(product(b,c),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a))))) )],[refute_0_9943,refute_0_9944]) ).

cnf(refute_0_9946,plain,
    quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = quotient(product(b,c),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(product(b,c),product(b,a))),product(b,a)) )],[refute_0_9942,refute_0_9945]) ).

cnf(refute_0_9947,plain,
    ( quotient(product(b,c),product(b,a)) != product(c,b)
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) != quotient(product(b,c),product(b,a))
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))))),bind(Y,$fot(quotient(product(b,c),product(b,a)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_9948,plain,
    ( quotient(product(b,c),product(b,a)) != product(c,b)
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),quotient(product(b,c),product(b,a))) )],[refute_0_9946,refute_0_9947]) ).

cnf(refute_0_9949,plain,
    quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,a)),product(c,b)) )],[refute_0_3508,refute_0_9948]) ).

cnf(refute_0_9950,plain,
    ( quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) != product(c,b)
    | quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | product(c,b) = product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_9951,plain,
    ( quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | product(c,b) = product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),product(c,b)) )],[refute_0_9949,refute_0_9950]) ).

cnf(refute_0_9952,plain,
    product(product(A,product(b,c)),product(C,c)) = product(product(A,C),product(product(b,c),c)),
    inference(subst,[],[sos05:[bind(B,$fot(product(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_9953,plain,
    ( product(product(A,product(b,c)),product(C,c)) != product(product(A,C),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(product(A,product(b,c)),product(C,c)) = product(product(A,C),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(b,c)),product(C,c)),product(product(A,C),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_9954,plain,
    ( product(product(A,product(b,c)),product(C,c)) != product(product(A,C),product(product(b,c),c))
    | product(product(A,product(b,c)),product(C,c)) = product(product(A,C),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_9953]) ).

cnf(refute_0_9955,plain,
    product(product(A,product(b,c)),product(C,c)) = product(product(A,C),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,product(b,c)),product(C,c)),product(product(A,C),product(product(b,c),c))) )],[refute_0_9952,refute_0_9954]) ).

cnf(refute_0_9956,plain,
    product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)) = product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),
    inference(subst,[],[refute_0_9955:[bind(A,$fot(quotient(product(a,b),product(b,c)))),bind(C,$fot(b))]]) ).

cnf(refute_0_9957,plain,
    ( product(c,b) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)) != product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c)))
    | product(c,b) = product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,b),product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c)))) ),[0],$fot(product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)))]]) ).

cnf(refute_0_9958,plain,
    ( product(c,b) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | product(c,b) = product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c)),product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c)))) )],[refute_0_9956,refute_0_9957]) ).

cnf(refute_0_9959,plain,
    ( quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))) != product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))
    | product(c,b) = product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))) )],[refute_0_9951,refute_0_9958]) ).

cnf(refute_0_9960,plain,
    product(c,b) = product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),difference(product(b,c),product(b,a)))),product(product(quotient(product(a,b),product(b,c)),product(b,c)),product(b,c))) )],[refute_0_9941,refute_0_9959]) ).

cnf(refute_0_9961,plain,
    ( product(c,b) != product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c)))
    | product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c)))))]]) ).

cnf(refute_0_9962,plain,
    product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c)))) )],[refute_0_9960,refute_0_9961]) ).

cnf(refute_0_9963,plain,
    ( product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) != product(c,b)
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c)))
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = product(product(c,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))),product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_9964,plain,
    ( quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c)))
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = product(product(c,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(c,b)) )],[refute_0_9962,refute_0_9963]) ).

cnf(refute_0_9965,plain,
    quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = product(product(c,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))),product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c)))) )],[refute_0_9924,refute_0_9964]) ).

cnf(refute_0_9966,plain,
    bigC(b,product(c,a),b) = bigC(b,b,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_9967,plain,
    bigC(difference(c,bigC(a,b,b)),X_22,c) = product(product(difference(c,bigC(a,b,b)),X_22),bigC(a,b,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,b,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_9968,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != product(product(difference(c,bigC(a,b,b)),X_22),bigC(a,b,b))
    | difference(c,bigC(a,b,b)) != product(b,c)
    | bigC(difference(c,bigC(a,b,b)),X_22,c) = product(product(product(b,c),X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),product(product(difference(c,bigC(a,b,b)),X_22),bigC(a,b,b))) ),[1,0,0],$fot(product(b,c))]]) ).

cnf(refute_0_9969,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != product(product(difference(c,bigC(a,b,b)),X_22),bigC(a,b,b))
    | bigC(difference(c,bigC(a,b,b)),X_22,c) = product(product(product(b,c),X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,b)),product(b,c)) )],[refute_0_4441,refute_0_9968]) ).

cnf(refute_0_9970,plain,
    bigC(difference(c,bigC(a,b,b)),X_22,c) = product(product(product(b,c),X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),product(product(difference(c,bigC(a,b,b)),X_22),bigC(a,b,b))) )],[refute_0_9967,refute_0_9969]) ).

cnf(refute_0_9971,plain,
    bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(difference(c,bigC(a,b,b)),X_22,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,bigC(a,b,b)),X_22,c))]]) ).

cnf(refute_0_9972,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != bigC(difference(c,bigC(a,b,b)),X_22,c)
    | difference(c,bigC(a,b,b)) != product(b,c)
    | bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(product(b,c),X_22,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),bigC(difference(c,bigC(a,b,b)),X_22,c)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_9973,plain,
    ( difference(c,bigC(a,b,b)) != product(b,c)
    | bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(product(b,c),X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),bigC(difference(c,bigC(a,b,b)),X_22,c)) )],[refute_0_9971,refute_0_9972]) ).

cnf(refute_0_9974,plain,
    bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(product(b,c),X_22,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,b)),product(b,c)) )],[refute_0_4441,refute_0_9973]) ).

cnf(refute_0_9975,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != bigC(product(b,c),X_22,c)
    | bigC(product(b,c),X_22,c) != bigC(b,product(c,a),X_22)
    | bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(b,product(c,a),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(c,bigC(a,b,b)),X_22,c))),bind(Y,$fot(bigC(product(b,c),X_22,c))),bind(Z,$fot(bigC(b,product(c,a),X_22)))]]) ).

cnf(refute_0_9976,plain,
    ( bigC(product(b,c),X_22,c) != bigC(b,product(c,a),X_22)
    | bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(b,product(c,a),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),bigC(product(b,c),X_22,c)) )],[refute_0_9974,refute_0_9975]) ).

cnf(refute_0_9977,plain,
    bigC(difference(c,bigC(a,b,b)),X_22,c) = bigC(b,product(c,a),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,c),bigC(b,product(c,a),X_22)) )],[refute_0_3246,refute_0_9976]) ).

cnf(refute_0_9978,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != bigC(b,product(c,a),X_22)
    | bigC(difference(c,bigC(a,b,b)),X_22,c) != product(product(product(b,c),X_22),bigC(a,b,b))
    | bigC(b,product(c,a),X_22) = product(product(product(b,c),X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),product(product(product(b,c),X_22),bigC(a,b,b))) ),[0],$fot(bigC(b,product(c,a),X_22))]]) ).

cnf(refute_0_9979,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != product(product(product(b,c),X_22),bigC(a,b,b))
    | bigC(b,product(c,a),X_22) = product(product(product(b,c),X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),bigC(b,product(c,a),X_22)) )],[refute_0_9977,refute_0_9978]) ).

cnf(refute_0_9980,plain,
    bigC(quotient(c,product(c,b)),product(c,b),X_23) = product(c,product(X_23,quotient(c,product(c,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(c)),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_9981,plain,
    ( bigC(quotient(c,product(c,b)),product(c,b),X_23) != product(c,product(X_23,quotient(c,product(c,b))))
    | quotient(c,product(c,b)) != product(b,a)
    | bigC(product(b,a),product(c,b),X_23) = product(c,product(X_23,quotient(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,product(c,b)),product(c,b),X_23),product(c,product(X_23,quotient(c,product(c,b))))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_9982,plain,
    ( bigC(quotient(c,product(c,b)),product(c,b),X_23) != product(c,product(X_23,quotient(c,product(c,b))))
    | bigC(product(b,a),product(c,b),X_23) = product(c,product(X_23,quotient(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_9981]) ).

cnf(refute_0_9983,plain,
    bigC(product(b,a),product(c,b),X_23) = product(c,product(X_23,quotient(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,product(c,b)),product(c,b),X_23),product(c,product(X_23,quotient(c,product(c,b))))) )],[refute_0_9980,refute_0_9982]) ).

cnf(refute_0_9984,plain,
    product(X_23,quotient(c,product(c,b))) = product(X_23,quotient(c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(X_23,quotient(c,product(c,b))))]]) ).

cnf(refute_0_9985,plain,
    ( product(X_23,quotient(c,product(c,b))) != product(X_23,quotient(c,product(c,b)))
    | quotient(c,product(c,b)) != product(b,a)
    | product(X_23,quotient(c,product(c,b))) = product(X_23,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,quotient(c,product(c,b))),product(X_23,quotient(c,product(c,b)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_9986,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | product(X_23,quotient(c,product(c,b))) = product(X_23,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(X_23,quotient(c,product(c,b))),product(X_23,quotient(c,product(c,b)))) )],[refute_0_9984,refute_0_9985]) ).

cnf(refute_0_9987,plain,
    product(X_23,quotient(c,product(c,b))) = product(X_23,product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_9986]) ).

cnf(refute_0_9988,plain,
    product(c,product(X_23,quotient(c,product(c,b)))) = product(c,product(X_23,quotient(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(c,product(X_23,quotient(c,product(c,b)))))]]) ).

cnf(refute_0_9989,plain,
    ( product(X_23,quotient(c,product(c,b))) != product(X_23,product(b,a))
    | product(c,product(X_23,quotient(c,product(c,b)))) != product(c,product(X_23,quotient(c,product(c,b))))
    | product(c,product(X_23,quotient(c,product(c,b)))) = product(c,product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_23,quotient(c,product(c,b)))),product(c,product(X_23,quotient(c,product(c,b))))) ),[1,1],$fot(product(X_23,product(b,a)))]]) ).

cnf(refute_0_9990,plain,
    ( product(X_23,quotient(c,product(c,b))) != product(X_23,product(b,a))
    | product(c,product(X_23,quotient(c,product(c,b)))) = product(c,product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,quotient(c,product(c,b)))),product(c,product(X_23,quotient(c,product(c,b))))) )],[refute_0_9988,refute_0_9989]) ).

cnf(refute_0_9991,plain,
    product(c,product(X_23,quotient(c,product(c,b)))) = product(c,product(X_23,product(b,a))),
    inference(resolve,[$cnf( $equal(product(X_23,quotient(c,product(c,b))),product(X_23,product(b,a))) )],[refute_0_9987,refute_0_9990]) ).

cnf(refute_0_9992,plain,
    ( bigC(product(b,a),product(c,b),X_23) != product(c,product(X_23,quotient(c,product(c,b))))
    | product(c,product(X_23,quotient(c,product(c,b)))) != product(c,product(X_23,product(b,a)))
    | bigC(product(b,a),product(c,b),X_23) = product(c,product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),product(c,b),X_23),product(c,product(X_23,product(b,a)))) ),[0],$fot(product(c,product(X_23,quotient(c,product(c,b)))))]]) ).

cnf(refute_0_9993,plain,
    ( bigC(product(b,a),product(c,b),X_23) != product(c,product(X_23,quotient(c,product(c,b))))
    | bigC(product(b,a),product(c,b),X_23) = product(c,product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,quotient(c,product(c,b)))),product(c,product(X_23,product(b,a)))) )],[refute_0_9991,refute_0_9992]) ).

cnf(refute_0_9994,plain,
    bigC(product(b,a),product(c,b),X_23) = product(c,product(X_23,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,b),X_23),product(c,product(X_23,quotient(c,product(c,b))))) )],[refute_0_9983,refute_0_9993]) ).

cnf(refute_0_9995,plain,
    bigC(product(b,a),product(c,b),X_22) = product(c,product(X_22,product(b,a))),
    inference(subst,[],[refute_0_9994:[bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_9996,plain,
    product(product(product(b,c),X_22),bigC(a,b,b)) = bigC(product(b,a),product(c,b),X_22),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(X_22)),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_9997,plain,
    ( bigC(product(b,a),product(c,b),X_22) != product(c,product(X_22,product(b,a)))
    | product(product(product(b,c),X_22),bigC(a,b,b)) != bigC(product(b,a),product(c,b),X_22)
    | product(product(product(b,c),X_22),bigC(a,b,b)) = product(c,product(X_22,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),X_22),bigC(a,b,b)))),bind(Y,$fot(bigC(product(b,a),product(c,b),X_22))),bind(Z,$fot(product(c,product(X_22,product(b,a)))))]]) ).

cnf(refute_0_9998,plain,
    ( bigC(product(b,a),product(c,b),X_22) != product(c,product(X_22,product(b,a)))
    | product(product(product(b,c),X_22),bigC(a,b,b)) = product(c,product(X_22,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_22),bigC(a,b,b)),bigC(product(b,a),product(c,b),X_22)) )],[refute_0_9996,refute_0_9997]) ).

cnf(refute_0_9999,plain,
    product(product(product(b,c),X_22),bigC(a,b,b)) = product(c,product(X_22,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,b),X_22),product(c,product(X_22,product(b,a)))) )],[refute_0_9995,refute_0_9998]) ).

cnf(refute_0_10000,plain,
    ( bigC(b,product(c,a),X_22) != product(product(product(b,c),X_22),bigC(a,b,b))
    | product(product(product(b,c),X_22),bigC(a,b,b)) != product(c,product(X_22,product(b,a)))
    | bigC(b,product(c,a),X_22) = product(c,product(X_22,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),X_22),product(c,product(X_22,product(b,a)))) ),[0],$fot(product(product(product(b,c),X_22),bigC(a,b,b)))]]) ).

cnf(refute_0_10001,plain,
    ( bigC(b,product(c,a),X_22) != product(product(product(b,c),X_22),bigC(a,b,b))
    | bigC(b,product(c,a),X_22) = product(c,product(X_22,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_22),bigC(a,b,b)),product(c,product(X_22,product(b,a)))) )],[refute_0_9999,refute_0_10000]) ).

cnf(refute_0_10002,plain,
    ( bigC(difference(c,bigC(a,b,b)),X_22,c) != product(product(product(b,c),X_22),bigC(a,b,b))
    | bigC(b,product(c,a),X_22) = product(c,product(X_22,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_22),product(product(product(b,c),X_22),bigC(a,b,b))) )],[refute_0_9979,refute_0_10001]) ).

cnf(refute_0_10003,plain,
    bigC(b,product(c,a),X_22) = product(c,product(X_22,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,b,b)),X_22,c),product(product(product(b,c),X_22),bigC(a,b,b))) )],[refute_0_9970,refute_0_10002]) ).

cnf(refute_0_10004,plain,
    ( bigC(b,product(c,a),X_22) != product(c,product(X_22,product(b,a)))
    | product(c,product(X_22,product(b,a))) = bigC(b,product(c,a),X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,product(c,a),X_22))),bind(Y,$fot(product(c,product(X_22,product(b,a)))))]]) ).

cnf(refute_0_10005,plain,
    product(c,product(X_22,product(b,a))) = bigC(b,product(c,a),X_22),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),X_22),product(c,product(X_22,product(b,a)))) )],[refute_0_10003,refute_0_10004]) ).

cnf(refute_0_10006,plain,
    product(c,product(b,product(b,a))) = bigC(b,product(c,a),b),
    inference(subst,[],[refute_0_10005:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_10007,plain,
    ( bigC(b,product(c,a),b) != bigC(b,b,product(c,a))
    | product(c,product(b,product(b,a))) != bigC(b,product(c,a),b)
    | product(c,product(b,product(b,a))) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(b,product(b,a))))),bind(Y,$fot(bigC(b,product(c,a),b))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_10008,plain,
    ( bigC(b,product(c,a),b) != bigC(b,b,product(c,a))
    | product(c,product(b,product(b,a))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(b,a))),bigC(b,product(c,a),b)) )],[refute_0_10006,refute_0_10007]) ).

cnf(refute_0_10009,plain,
    product(c,product(b,product(b,a))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),b),bigC(b,b,product(c,a))) )],[refute_0_9966,refute_0_10008]) ).

cnf(refute_0_10010,plain,
    product(product(c,b),product(c,product(b,a))) = product(c,product(b,product(b,a))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(product(b,a)))]]) ).

cnf(refute_0_10011,plain,
    ( product(c,product(b,product(b,a))) != bigC(b,b,product(c,a))
    | product(product(c,b),product(c,product(b,a))) != product(c,product(b,product(b,a)))
    | product(product(c,b),product(c,product(b,a))) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(c,product(b,a))))),bind(Y,$fot(product(c,product(b,product(b,a))))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_10012,plain,
    ( product(c,product(b,product(b,a))) != bigC(b,b,product(c,a))
    | product(product(c,b),product(c,product(b,a))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(b,a))),product(c,product(b,product(b,a)))) )],[refute_0_10010,refute_0_10011]) ).

cnf(refute_0_10013,plain,
    product(product(c,b),product(c,product(b,a))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(b,a))),bigC(b,b,product(c,a))) )],[refute_0_10009,refute_0_10012]) ).

cnf(refute_0_10014,plain,
    product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)) = product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(quotient(product(a,b),product(b,c)),b))),bind(C,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_10015,plain,
    ( product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)) != product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(B,D))
    | product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))) != product(c,b)
    | product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)) = product(product(c,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)),product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(B,D))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_10016,plain,
    ( product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)) != product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(B,D))
    | product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)) = product(product(c,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(c,b)) )],[refute_0_9962,refute_0_10015]) ).

cnf(refute_0_10017,plain,
    product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)) = product(product(c,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(product(a,b),product(b,c)),b),B),product(product(b,product(a,c)),D)),product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(B,D))) )],[refute_0_10014,refute_0_10016]) ).

cnf(refute_0_10018,plain,
    product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) = product(product(c,b),product(c,product(b,a))),
    inference(subst,[],[refute_0_10017:[bind(B,$fot(c)),bind(D,$fot(product(b,a)))]]) ).

cnf(refute_0_10019,plain,
    ( product(product(c,b),product(c,product(b,a))) != bigC(b,b,product(c,a))
    | product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) != product(product(c,b),product(c,product(b,a)))
    | product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))))),bind(Y,$fot(product(product(c,b),product(c,product(b,a))))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_10020,plain,
    ( product(product(c,b),product(c,product(b,a))) != bigC(b,b,product(c,a))
    | product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))),product(product(c,b),product(c,product(b,a)))) )],[refute_0_10018,refute_0_10019]) ).

cnf(refute_0_10021,plain,
    product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(b,a))),bigC(b,b,product(c,a))) )],[refute_0_10013,refute_0_10020]) ).

cnf(refute_0_10022,plain,
    product(product(A,c),product(C,product(b,a))) = product(product(A,C),product(c,product(b,a))),
    inference(subst,[],[sos05:[bind(B,$fot(c)),bind(D,$fot(product(b,a)))]]) ).

cnf(refute_0_10023,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(product(A,c),product(C,product(b,a))) != product(product(A,C),product(c,product(b,a)))
    | product(product(A,c),product(C,product(b,a))) = product(product(A,C),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(b,a))),product(product(A,C),product(c,product(b,a)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_10024,plain,
    ( product(product(A,c),product(C,product(b,a))) != product(product(A,C),product(c,product(b,a)))
    | product(product(A,c),product(C,product(b,a))) = product(product(A,C),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_10023]) ).

cnf(refute_0_10025,plain,
    product(product(A,c),product(C,product(b,a))) = product(product(A,C),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(b,a))),product(product(A,C),product(c,product(b,a)))) )],[refute_0_10022,refute_0_10024]) ).

cnf(refute_0_10026,plain,
    ( product(product(A,c),product(C,product(b,a))) != product(product(A,C),product(b,product(a,c)))
    | product(product(A,C),product(b,product(a,c))) = product(product(A,c),product(C,product(b,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,c),product(C,product(b,a))))),bind(Y,$fot(product(product(A,C),product(b,product(a,c)))))]]) ).

cnf(refute_0_10027,plain,
    product(product(A,C),product(b,product(a,c))) = product(product(A,c),product(C,product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(b,a))),product(product(A,C),product(b,product(a,c)))) )],[refute_0_10025,refute_0_10026]) ).

cnf(refute_0_10028,plain,
    product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) = product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))),
    inference(subst,[],[refute_0_10027:[bind(A,$fot(product(quotient(product(a,b),product(b,c)),b))),bind(C,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_10029,plain,
    ( product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) != bigC(b,b,product(c,a))
    | product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) != product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a)))
    | product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))))),bind(Y,$fot(product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_10030,plain,
    ( product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))) != bigC(b,b,product(c,a))
    | product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))),product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a)))) )],[refute_0_10028,refute_0_10029]) ).

cnf(refute_0_10031,plain,
    product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(product(a,b),product(b,c)),b),c),product(product(b,product(a,c)),product(b,a))),bigC(b,b,product(c,a))) )],[refute_0_10021,refute_0_10030]) ).

cnf(refute_0_10032,plain,
    ( product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) != bigC(b,b,product(c,a))
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c)))
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))))),bind(Y,$fot(product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_10033,plain,
    ( product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))) != bigC(b,b,product(c,a))
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))),product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c)))) )],[refute_0_9924,refute_0_10032]) ).

cnf(refute_0_10034,plain,
    quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(product(a,b),product(b,c)),b),product(b,product(a,c))),product(b,product(a,c))),bigC(b,b,product(c,a))) )],[refute_0_10031,refute_0_10033]) ).

cnf(refute_0_10035,plain,
    ( quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != bigC(b,b,product(c,a))
    | quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != product(product(c,b),product(b,product(a,c)))
    | bigC(b,b,product(c,a)) = product(product(c,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))),product(product(c,b),product(b,product(a,c)))) ),[0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_10036,plain,
    ( quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != product(product(c,b),product(b,product(a,c)))
    | bigC(b,b,product(c,a)) = product(product(c,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))),bigC(b,b,product(c,a))) )],[refute_0_10034,refute_0_10035]) ).

cnf(refute_0_10037,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(product(c,b),product(b,product(a,c))) != bigC(c,b,product(b,c))
    | product(product(c,b),product(b,product(a,c))) = bigC(b,c,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(b,product(a,c))))),bind(Y,$fot(bigC(c,b,product(b,c)))),bind(Z,$fot(bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_10038,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(product(c,b),product(b,product(a,c))) = bigC(b,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,product(a,c))),bigC(c,b,product(b,c))) )],[refute_0_9702,refute_0_10037]) ).

cnf(refute_0_10039,plain,
    product(product(c,b),product(b,product(a,c))) = bigC(b,c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_10038]) ).

cnf(refute_0_10040,plain,
    ( bigC(b,b,product(c,a)) != product(product(c,b),product(b,product(a,c)))
    | product(product(c,b),product(b,product(a,c))) != bigC(b,c,product(b,c))
    | bigC(b,b,product(c,a)) = bigC(b,c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,b,product(c,a)),bigC(b,c,product(b,c))) ),[0],$fot(product(product(c,b),product(b,product(a,c))))]]) ).

cnf(refute_0_10041,plain,
    ( bigC(b,b,product(c,a)) != product(product(c,b),product(b,product(a,c)))
    | bigC(b,b,product(c,a)) = bigC(b,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,product(a,c))),bigC(b,c,product(b,c))) )],[refute_0_10039,refute_0_10040]) ).

cnf(refute_0_10042,plain,
    ( quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))) != product(product(c,b),product(b,product(a,c)))
    | bigC(b,b,product(c,a)) = bigC(b,c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,a)),product(product(c,b),product(b,product(a,c)))) )],[refute_0_10036,refute_0_10041]) ).

cnf(refute_0_10043,plain,
    bigC(b,b,product(c,a)) = bigC(b,c,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,c)),product(product(b,product(a,c)),product(product(b,product(a,c)),product(quotient(product(a,b),product(b,c)),b)))),product(product(c,b),product(b,product(a,c)))) )],[refute_0_9965,refute_0_10042]) ).

cnf(refute_0_10044,plain,
    ( bigC(b,b,product(c,a)) != bigC(b,c,product(b,c))
    | bigC(b,c,product(b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,product(c,a)))),bind(Y,$fot(bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_10045,plain,
    bigC(b,c,product(b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,a)),bigC(b,c,product(b,c))) )],[refute_0_10043,refute_0_10044]) ).

cnf(refute_0_10046,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | bigC(b,c,product(b,c)) != product(bigC(b,b,c),bigC(a,b,b))
    | bigC(b,b,product(c,a)) = product(bigC(b,b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,c,product(b,c)),product(bigC(b,b,c),bigC(a,b,b))) ),[0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_10047,plain,
    ( bigC(b,c,product(b,c)) != product(bigC(b,b,c),bigC(a,b,b))
    | bigC(b,b,product(c,a)) = product(bigC(b,b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_10045,refute_0_10046]) ).

cnf(refute_0_10048,plain,
    bigC(b,b,product(c,a)) = product(bigC(b,b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),product(bigC(b,b,c),bigC(a,b,b))) )],[refute_0_9923,refute_0_10047]) ).

cnf(refute_0_10049,plain,
    ( bigC(b,b,product(c,a)) != product(bigC(b,b,c),bigC(a,b,b))
    | product(bigC(b,b,c),bigC(a,b,b)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,product(c,a)))),bind(Y,$fot(product(bigC(b,b,c),bigC(a,b,b))))]]) ).

cnf(refute_0_10050,plain,
    product(bigC(b,b,c),bigC(a,b,b)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,a)),product(bigC(b,b,c),bigC(a,b,b))) )],[refute_0_10048,refute_0_10049]) ).

cnf(refute_0_10051,plain,
    bigC(product(c,b),X_22,quotient(bigC(b,a,b),product(c,b))) = product(product(product(c,b),X_22),bigC(b,a,b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(b,a,b))),bind(X_21,$fot(product(c,b)))]]) ).

cnf(refute_0_10052,plain,
    ( bigC(product(c,b),X_22,quotient(bigC(b,a,b),product(c,b))) != product(product(product(c,b),X_22),bigC(b,a,b))
    | quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | bigC(product(c,b),X_22,product(b,c)) = product(product(product(c,b),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_22,quotient(bigC(b,a,b),product(c,b))),product(product(product(c,b),X_22),bigC(b,a,b))) ),[0,2],$fot(product(b,c))]]) ).

cnf(refute_0_10053,plain,
    ( bigC(product(c,b),X_22,quotient(bigC(b,a,b),product(c,b))) != product(product(product(c,b),X_22),bigC(b,a,b))
    | bigC(product(c,b),X_22,product(b,c)) = product(product(product(c,b),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) )],[refute_0_8287,refute_0_10052]) ).

cnf(refute_0_10054,plain,
    bigC(product(c,b),X_22,product(b,c)) = product(product(product(c,b),X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,quotient(bigC(b,a,b),product(c,b))),product(product(product(c,b),X_22),bigC(b,a,b))) )],[refute_0_10051,refute_0_10053]) ).

cnf(refute_0_10055,plain,
    product(product(product(c,b),X_22),bigC(b,a,b)) = product(product(product(c,b),X_22),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_10056,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(product(c,b),X_22),bigC(b,a,b)) != product(product(product(c,b),X_22),bigC(b,a,b))
    | product(product(product(c,b),X_22),bigC(b,a,b)) = product(product(product(c,b),X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),X_22),bigC(b,a,b)),product(product(product(c,b),X_22),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_10057,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(product(c,b),X_22),bigC(b,a,b)) = product(product(product(c,b),X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_22),bigC(b,a,b)),product(product(product(c,b),X_22),bigC(b,a,b))) )],[refute_0_10055,refute_0_10056]) ).

cnf(refute_0_10058,plain,
    product(product(product(c,b),X_22),bigC(b,a,b)) = product(product(product(c,b),X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_10057]) ).

cnf(refute_0_10059,plain,
    ( bigC(product(c,b),X_22,product(b,c)) != product(product(product(c,b),X_22),bigC(b,a,b))
    | product(product(product(c,b),X_22),bigC(b,a,b)) != product(product(product(c,b),X_22),bigC(a,b,b))
    | bigC(product(c,b),X_22,product(b,c)) = product(product(product(c,b),X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_22,product(b,c)),product(product(product(c,b),X_22),bigC(a,b,b))) ),[0],$fot(product(product(product(c,b),X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_10060,plain,
    ( bigC(product(c,b),X_22,product(b,c)) != product(product(product(c,b),X_22),bigC(b,a,b))
    | bigC(product(c,b),X_22,product(b,c)) = product(product(product(c,b),X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),X_22),bigC(b,a,b)),product(product(product(c,b),X_22),bigC(a,b,b))) )],[refute_0_10058,refute_0_10059]) ).

cnf(refute_0_10061,plain,
    bigC(product(c,b),X_22,product(b,c)) = product(product(product(c,b),X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(b,c)),product(product(product(c,b),X_22),bigC(b,a,b))) )],[refute_0_10054,refute_0_10060]) ).

cnf(refute_0_10062,plain,
    bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(b,b,c))),bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_10063,plain,
    quotient(quotient(product(b,c),product(product(b,c),c)),product(b,c)) = difference(product(b,c),product(c,product(b,c))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(b,c))),bind(X_29,$fot(c))]]) ).

cnf(refute_0_10064,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | quotient(quotient(product(b,c),product(product(b,c),c)),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = difference(product(b,c),product(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,c),product(product(b,c),c)),product(b,c)),difference(product(b,c),product(c,product(b,c)))) ),[0,0,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_10065,plain,
    ( quotient(quotient(product(b,c),product(product(b,c),c)),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = difference(product(b,c),product(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_10064]) ).

cnf(refute_0_10066,plain,
    quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = difference(product(b,c),product(c,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,c),product(product(b,c),c)),product(b,c)),difference(product(b,c),product(c,product(b,c)))) )],[refute_0_10063,refute_0_10065]) ).

cnf(refute_0_10067,plain,
    quotient(product(b,c),difference(bigC(b,b,c),product(b,c))) = bigC(b,b,c),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(b,c))),bind(X_6,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10068,plain,
    difference(product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(a,b))),bind(X_16,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_10069,plain,
    ( difference(product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))) ),[0,0,0],$fot(product(c,b))]]) ).

cnf(refute_0_10070,plain,
    ( difference(product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_10069]) ).

cnf(refute_0_10071,plain,
    difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))) )],[refute_0_10068,refute_0_10070]) ).

cnf(refute_0_10072,plain,
    product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(bigC(c,a,b))),bind(X_63,$fot(b)),bind(X_64,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_10073,plain,
    product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) = product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(b)),bind(B,$fot(product(b,a))),bind(C,$fot(bigC(c,a,b))),bind(D,$fot(product(bigC(c,a,b),b)))]]) ).

cnf(refute_0_10074,plain,
    ( product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) != product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b)))
    | product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))))),bind(Y,$fot(product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b))))),bind(Z,$fot(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_10075,plain,
    ( product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))),product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b)))) )],[refute_0_10073,refute_0_10074]) ).

cnf(refute_0_10076,plain,
    product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,a)),product(bigC(c,a,b),product(bigC(c,a,b),b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10072,refute_0_10075]) ).

cnf(refute_0_10077,plain,
    product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(b,bigC(c,a,b)))),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(bigC(c,a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10078,plain,
    ( product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) != product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b)))
    | product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))))),bind(Y,$fot(product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))))),bind(Z,$fot(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))))]]) ).

cnf(refute_0_10079,plain,
    ( product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))),product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b)))) )],[refute_0_10077,refute_0_10078]) ).

cnf(refute_0_10080,plain,
    product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),product(product(b,a),product(bigC(c,a,b),b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10076,refute_0_10079]) ).

cnf(refute_0_10081,plain,
    ( difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))
    | product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) ),[0],$fot(product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))))]]) ).

cnf(refute_0_10082,plain,
    ( difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10080,refute_0_10081]) ).

cnf(refute_0_10083,plain,
    difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),product(product(b,bigC(c,a,b)),product(a,b)))) )],[refute_0_10071,refute_0_10082]) ).

cnf(refute_0_10084,plain,
    difference(bigC(c,b,b),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,b,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_10085,plain,
    ( difference(bigC(c,b,b),product(b,bigC(c,a,b))) != difference(bigC(c,b,b),product(b,bigC(c,a,b)))
    | product(b,bigC(c,a,b)) != product(b,c)
    | difference(bigC(c,b,b),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,b),product(b,bigC(c,a,b))),difference(bigC(c,b,b),product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_10086,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | difference(bigC(c,b,b),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,bigC(c,a,b))),difference(bigC(c,b,b),product(b,bigC(c,a,b)))) )],[refute_0_10084,refute_0_10085]) ).

cnf(refute_0_10087,plain,
    difference(bigC(c,b,b),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_10086]) ).

cnf(refute_0_10088,plain,
    product(product(c,b),product(b,bigC(c,a,b))) = product(product(c,b),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_10089,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(c,b),product(b,bigC(c,a,b))) != product(product(c,b),product(b,bigC(c,a,b)))
    | product(product(c,b),product(b,bigC(c,a,b))) = product(product(c,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(b,bigC(c,a,b))),product(product(c,b),product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_10090,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(c,b),product(b,bigC(c,a,b))) = product(product(c,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,bigC(c,a,b))),product(product(c,b),product(b,bigC(c,a,b)))) )],[refute_0_10088,refute_0_10089]) ).

cnf(refute_0_10091,plain,
    product(product(c,b),product(b,bigC(c,a,b))) = product(product(c,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_10090]) ).

cnf(refute_0_10092,plain,
    ( product(product(c,b),product(b,bigC(c,a,b))) != product(product(c,b),product(b,c))
    | product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(c,b),product(b,bigC(c,a,b))) = bigC(c,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(b,bigC(c,a,b))))),bind(Y,$fot(product(product(c,b),product(b,c)))),bind(Z,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_10093,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(c,b),product(b,bigC(c,a,b))) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,bigC(c,a,b))),product(product(c,b),product(b,c))) )],[refute_0_10091,refute_0_10092]) ).

cnf(refute_0_10094,plain,
    product(product(c,b),product(b,bigC(c,a,b))) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_10093]) ).

cnf(refute_0_10095,plain,
    difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_10096,plain,
    ( difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))
    | product(product(c,b),product(b,bigC(c,a,b))) != bigC(c,b,b)
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_10097,plain,
    ( product(product(c,b),product(b,bigC(c,a,b))) != bigC(c,b,b)
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))) )],[refute_0_10095,refute_0_10096]) ).

cnf(refute_0_10098,plain,
    difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,bigC(c,a,b))),bigC(c,b,b)) )],[refute_0_10094,refute_0_10097]) ).

cnf(refute_0_10099,plain,
    ( difference(bigC(c,b,b),product(b,bigC(c,a,b))) != difference(bigC(c,b,b),product(b,c))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != difference(bigC(c,b,b),product(b,bigC(c,a,b)))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))))),bind(Y,$fot(difference(bigC(c,b,b),product(b,bigC(c,a,b))))),bind(Z,$fot(difference(bigC(c,b,b),product(b,c))))]]) ).

cnf(refute_0_10100,plain,
    ( difference(bigC(c,b,b),product(b,bigC(c,a,b))) != difference(bigC(c,b,b),product(b,c))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),difference(bigC(c,b,b),product(b,bigC(c,a,b)))) )],[refute_0_10098,refute_0_10099]) ).

cnf(refute_0_10101,plain,
    difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) = difference(bigC(c,b,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,bigC(c,a,b))),difference(bigC(c,b,b),product(b,c))) )],[refute_0_10087,refute_0_10100]) ).

cnf(refute_0_10102,plain,
    ( difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != difference(bigC(c,b,b),product(b,c))
    | difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) ),[0],$fot(difference(bigC(c,b,b),product(b,c)))]]) ).

cnf(refute_0_10103,plain,
    ( difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),difference(bigC(c,b,b),product(b,c))) )],[refute_0_10101,refute_0_10102]) ).

cnf(refute_0_10104,plain,
    product(product(b,c),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(b,c),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_10105,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(product(b,c),bigC(b,a,bigC(c,a,b))) != product(product(b,c),bigC(b,a,bigC(c,a,b)))
    | product(product(b,c),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(b,a,bigC(c,a,b))),product(product(b,c),bigC(b,a,bigC(c,a,b)))) ),[1,1],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_10106,plain,
    ( bigC(b,a,bigC(c,a,b)) != bigC(b,a,c)
    | product(product(b,c),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,a,bigC(c,a,b))),product(product(b,c),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10104,refute_0_10105]) ).

cnf(refute_0_10107,plain,
    product(product(b,c),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,bigC(c,a,b)),bigC(b,a,c)) )],[refute_0_485,refute_0_10106]) ).

cnf(refute_0_10108,plain,
    product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_10109,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_10110,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10108,refute_0_10109]) ).

cnf(refute_0_10111,plain,
    product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_10110]) ).

cnf(refute_0_10112,plain,
    ( product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) != product(product(b,c),bigC(b,a,bigC(c,a,b)))
    | product(product(b,c),bigC(b,a,bigC(c,a,b))) != product(product(b,c),bigC(b,a,c))
    | product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))))),bind(Y,$fot(product(product(b,c),bigC(b,a,bigC(c,a,b))))),bind(Z,$fot(product(product(b,c),bigC(b,a,c))))]]) ).

cnf(refute_0_10113,plain,
    ( product(product(b,c),bigC(b,a,bigC(c,a,b))) != product(product(b,c),bigC(b,a,c))
    | product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),product(product(b,c),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10111,refute_0_10112]) ).

cnf(refute_0_10114,plain,
    product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) = product(product(b,c),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,a,bigC(c,a,b))),product(product(b,c),bigC(b,a,c))) )],[refute_0_10107,refute_0_10113]) ).

cnf(refute_0_10115,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))) != product(product(b,c),bigC(b,a,c))
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,c),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,b,b),product(b,c)),product(product(b,c),bigC(b,a,c))) ),[0],$fot(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))))]]) ).

cnf(refute_0_10116,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,c),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b))),product(product(b,c),bigC(b,a,c))) )],[refute_0_10114,refute_0_10115]) ).

cnf(refute_0_10117,plain,
    ( difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))) != product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,c),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10103,refute_0_10116]) ).

cnf(refute_0_10118,plain,
    difference(bigC(c,b,b),product(b,c)) = product(product(b,c),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b))),product(product(b,bigC(c,a,b)),bigC(b,a,bigC(c,a,b)))) )],[refute_0_10083,refute_0_10117]) ).

cnf(refute_0_10119,plain,
    product(product(b,c),bigC(b,a,c)) = product(product(b,c),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(product(b,c),bigC(b,a,c)))]]) ).

cnf(refute_0_10120,plain,
    ( bigC(b,a,c) != c
    | product(product(b,c),bigC(b,a,c)) != product(product(b,c),bigC(b,a,c))
    | product(product(b,c),bigC(b,a,c)) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),bigC(b,a,c)),product(product(b,c),bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_10121,plain,
    ( bigC(b,a,c) != c
    | product(product(b,c),bigC(b,a,c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,a,c)),product(product(b,c),bigC(b,a,c))) )],[refute_0_10119,refute_0_10120]) ).

cnf(refute_0_10122,plain,
    product(product(b,c),bigC(b,a,c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_10121]) ).

cnf(refute_0_10123,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(product(b,c),bigC(b,a,c))
    | product(product(b,c),bigC(b,a,c)) != product(product(b,c),c)
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,b,b),product(b,c)),product(product(b,c),c)) ),[0],$fot(product(product(b,c),bigC(b,a,c)))]]) ).

cnf(refute_0_10124,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(product(b,c),bigC(b,a,c))
    | difference(bigC(c,b,b),product(b,c)) = product(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,a,c)),product(product(b,c),c)) )],[refute_0_10122,refute_0_10123]) ).

cnf(refute_0_10125,plain,
    difference(bigC(c,b,b),product(b,c)) = product(product(b,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),product(product(b,c),bigC(b,a,c))) )],[refute_0_10118,refute_0_10124]) ).

cnf(refute_0_10126,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(product(b,c),c)
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(bigC(c,b,b),product(b,c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,b,b),product(b,c)),product(b,product(a,c))) ),[0],$fot(product(product(b,c),c))]]) ).

cnf(refute_0_10127,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(product(b,c),c)
    | difference(bigC(c,b,b),product(b,c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_10126]) ).

cnf(refute_0_10128,plain,
    difference(bigC(c,b,b),product(b,c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),product(product(b,c),c)) )],[refute_0_10125,refute_0_10127]) ).

cnf(refute_0_10129,plain,
    difference(bigC(c,b,b),product(b,c)) = difference(bigC(c,b,b),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,b,b),product(b,c)))]]) ).

cnf(refute_0_10130,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(bigC(c,b,b),product(b,c)) != difference(bigC(c,b,b),product(b,c))
    | difference(bigC(c,b,b),product(b,c)) = difference(bigC(b,b,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),difference(bigC(c,b,b),product(b,c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10131,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(bigC(c,b,b),product(b,c)) = difference(bigC(b,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),difference(bigC(c,b,b),product(b,c))) )],[refute_0_10129,refute_0_10130]) ).

cnf(refute_0_10132,plain,
    difference(bigC(c,b,b),product(b,c)) = difference(bigC(b,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_10131]) ).

cnf(refute_0_10133,plain,
    ( difference(bigC(c,b,b),product(b,c)) != difference(bigC(b,b,c),product(b,c))
    | difference(bigC(c,b,b),product(b,c)) != product(b,product(a,c))
    | difference(bigC(b,b,c),product(b,c)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),product(b,product(a,c))) ),[0],$fot(difference(bigC(b,b,c),product(b,c)))]]) ).

cnf(refute_0_10134,plain,
    ( difference(bigC(c,b,b),product(b,c)) != product(b,product(a,c))
    | difference(bigC(b,b,c),product(b,c)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),difference(bigC(b,b,c),product(b,c))) )],[refute_0_10132,refute_0_10133]) ).

cnf(refute_0_10135,plain,
    difference(bigC(b,b,c),product(b,c)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,b),product(b,c)),product(b,product(a,c))) )],[refute_0_10128,refute_0_10134]) ).

cnf(refute_0_10136,plain,
    ( difference(bigC(b,b,c),product(b,c)) != product(b,product(a,c))
    | quotient(product(b,c),difference(bigC(b,b,c),product(b,c))) != bigC(b,b,c)
    | quotient(product(b,c),product(b,product(a,c))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),difference(bigC(b,b,c),product(b,c))),bigC(b,b,c)) ),[0,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_10137,plain,
    ( quotient(product(b,c),difference(bigC(b,b,c),product(b,c))) != bigC(b,b,c)
    | quotient(product(b,c),product(b,product(a,c))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),product(b,c)),product(b,product(a,c))) )],[refute_0_10135,refute_0_10136]) ).

cnf(refute_0_10138,plain,
    quotient(product(b,c),product(b,product(a,c))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),difference(bigC(b,b,c),product(b,c))),bigC(b,b,c)) )],[refute_0_10067,refute_0_10137]) ).

cnf(refute_0_10139,plain,
    quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)))]]) ).

cnf(refute_0_10140,plain,
    ( quotient(product(b,c),product(b,product(a,c))) != bigC(b,b,c)
    | quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) != quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c))
    | quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = quotient(bigC(b,b,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)),quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10141,plain,
    ( quotient(product(b,c),product(b,product(a,c))) != bigC(b,b,c)
    | quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = quotient(bigC(b,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)),quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c))) )],[refute_0_10139,refute_0_10140]) ).

cnf(refute_0_10142,plain,
    quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) = quotient(bigC(b,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(a,c))),bigC(b,b,c)) )],[refute_0_10138,refute_0_10141]) ).

cnf(refute_0_10143,plain,
    ( quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) != quotient(bigC(b,b,c),product(b,c))
    | quotient(bigC(b,b,c),product(b,c)) = difference(product(b,c),product(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)),difference(product(b,c),product(c,product(b,c)))) ),[0],$fot(quotient(bigC(b,b,c),product(b,c)))]]) ).

cnf(refute_0_10144,plain,
    ( quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(bigC(b,b,c),product(b,c)) = difference(product(b,c),product(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)),quotient(bigC(b,b,c),product(b,c))) )],[refute_0_10142,refute_0_10143]) ).

cnf(refute_0_10145,plain,
    difference(product(b,c),bigC(b,c,c)) = product(c,b),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_10146,plain,
    ( bigC(b,c,c) != bigC(b,a,b)
    | difference(product(b,c),bigC(b,c,c)) != product(c,b)
    | difference(product(b,c),bigC(b,a,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(b,c,c)),product(c,b)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10147,plain,
    ( difference(product(b,c),bigC(b,c,c)) != product(c,b)
    | difference(product(b,c),bigC(b,a,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,c),bigC(b,a,b)) )],[refute_0_691,refute_0_10146]) ).

cnf(refute_0_10148,plain,
    difference(product(b,c),bigC(b,a,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,c,c)),product(c,b)) )],[refute_0_10145,refute_0_10147]) ).

cnf(refute_0_10149,plain,
    difference(product(b,c),bigC(b,a,b)) = difference(product(b,c),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_10150,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(b,c),bigC(b,a,b)) != difference(product(b,c),bigC(b,a,b))
    | difference(product(b,c),bigC(b,a,b)) = difference(product(b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(b,a,b)),difference(product(b,c),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_10151,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(b,c),bigC(b,a,b)) = difference(product(b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,a,b)),difference(product(b,c),bigC(b,a,b))) )],[refute_0_10149,refute_0_10150]) ).

cnf(refute_0_10152,plain,
    difference(product(b,c),bigC(b,a,b)) = difference(product(b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_10151]) ).

cnf(refute_0_10153,plain,
    ( difference(product(b,c),bigC(b,a,b)) != difference(product(b,c),bigC(a,b,b))
    | difference(product(b,c),bigC(b,a,b)) != product(c,b)
    | difference(product(b,c),bigC(a,b,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(b,a,b)),product(c,b)) ),[0],$fot(difference(product(b,c),bigC(a,b,b)))]]) ).

cnf(refute_0_10154,plain,
    ( difference(product(b,c),bigC(b,a,b)) != product(c,b)
    | difference(product(b,c),bigC(a,b,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,a,b)),difference(product(b,c),bigC(a,b,b))) )],[refute_0_10152,refute_0_10153]) ).

cnf(refute_0_10155,plain,
    difference(product(b,c),bigC(a,b,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,a,b)),product(c,b)) )],[refute_0_10148,refute_0_10154]) ).

cnf(refute_0_10156,plain,
    difference(product(b,c),product(c,product(b,c))) = difference(product(b,c),product(c,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(b,c),product(c,product(b,c))))]]) ).

cnf(refute_0_10157,plain,
    ( difference(product(b,c),product(c,product(b,c))) != difference(product(b,c),product(c,product(b,c)))
    | product(c,product(b,c)) != bigC(a,b,b)
    | difference(product(b,c),product(c,product(b,c))) = difference(product(b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(c,product(b,c))),difference(product(b,c),product(c,product(b,c)))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_10158,plain,
    ( product(c,product(b,c)) != bigC(a,b,b)
    | difference(product(b,c),product(c,product(b,c))) = difference(product(b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,product(b,c))),difference(product(b,c),product(c,product(b,c)))) )],[refute_0_10156,refute_0_10157]) ).

cnf(refute_0_10159,plain,
    difference(product(b,c),product(c,product(b,c))) = difference(product(b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(a,b,b)) )],[refute_0_4266,refute_0_10158]) ).

cnf(refute_0_10160,plain,
    ( difference(product(b,c),bigC(a,b,b)) != product(c,b)
    | difference(product(b,c),product(c,product(b,c))) != difference(product(b,c),bigC(a,b,b))
    | difference(product(b,c),product(c,product(b,c))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,c),product(c,product(b,c))))),bind(Y,$fot(difference(product(b,c),bigC(a,b,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_10161,plain,
    ( difference(product(b,c),bigC(a,b,b)) != product(c,b)
    | difference(product(b,c),product(c,product(b,c))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,product(b,c))),difference(product(b,c),bigC(a,b,b))) )],[refute_0_10159,refute_0_10160]) ).

cnf(refute_0_10162,plain,
    difference(product(b,c),product(c,product(b,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(a,b,b)),product(c,b)) )],[refute_0_10155,refute_0_10161]) ).

cnf(refute_0_10163,plain,
    ( difference(product(b,c),product(c,product(b,c))) != product(c,b)
    | quotient(bigC(b,b,c),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(bigC(b,b,c),product(b,c)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,b,c),product(b,c)),difference(product(b,c),product(c,product(b,c)))) ),[1],$fot(product(c,b))]]) ).

cnf(refute_0_10164,plain,
    ( quotient(bigC(b,b,c),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(bigC(b,b,c),product(b,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,product(b,c))),product(c,b)) )],[refute_0_10162,refute_0_10163]) ).

cnf(refute_0_10165,plain,
    ( quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)) != difference(product(b,c),product(c,product(b,c)))
    | quotient(bigC(b,b,c),product(b,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),product(b,c)),difference(product(b,c),product(c,product(b,c)))) )],[refute_0_10144,refute_0_10164]) ).

cnf(refute_0_10166,plain,
    quotient(bigC(b,b,c),product(b,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,c),product(b,product(a,c))),product(b,c)),difference(product(b,c),product(c,product(b,c)))) )],[refute_0_10066,refute_0_10165]) ).

cnf(refute_0_10167,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | quotient(bigC(b,b,c),product(b,c)) != product(c,b)
    | bigC(product(c,b),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_10168,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | bigC(product(c,b),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),product(b,c)),product(c,b)) )],[refute_0_10166,refute_0_10167]) ).

cnf(refute_0_10169,plain,
    bigC(product(c,b),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) )],[refute_0_10062,refute_0_10168]) ).

cnf(refute_0_10170,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | quotient(bigC(b,b,c),product(b,c)) != product(c,b)
    | bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) ),[1,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_10171,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),product(b,c)),product(c,b)) )],[refute_0_10166,refute_0_10170]) ).

cnf(refute_0_10172,plain,
    bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) )],[refute_0_10062,refute_0_10171]) ).

cnf(refute_0_10173,plain,
    bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23))]]) ).

cnf(refute_0_10174,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23)
    | quotient(bigC(b,b,c),product(b,c)) != product(c,b)
    | bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = bigC(product(c,b),product(b,c),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_10175,plain,
    ( quotient(bigC(b,b,c),product(b,c)) != product(c,b)
    | bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = bigC(product(c,b),product(b,c),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23)) )],[refute_0_10173,refute_0_10174]) ).

cnf(refute_0_10176,plain,
    bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) = bigC(product(c,b),product(b,c),X_23),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),product(b,c)),product(c,b)) )],[refute_0_10166,refute_0_10175]) ).

cnf(refute_0_10177,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != bigC(product(c,b),product(b,c),X_23)
    | bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,product(c,b)))
    | bigC(product(c,b),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),product(bigC(b,b,c),product(X_23,product(c,b)))) ),[0],$fot(bigC(product(c,b),product(b,c),X_23))]]) ).

cnf(refute_0_10178,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,product(c,b)))
    | bigC(product(c,b),product(b,c),X_23) = product(bigC(b,b,c),product(X_23,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),bigC(product(c,b),product(b,c),X_23)) )],[refute_0_10176,refute_0_10177]) ).

cnf(refute_0_10179,plain,
    bigC(b,X_23,product(c,c)) = bigC(b,X_23,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(b,X_23,product(c,c)))]]) ).

cnf(refute_0_10180,plain,
    ( bigC(b,X_23,product(c,c)) != bigC(b,X_23,product(c,c))
    | product(c,c) != c
    | bigC(b,X_23,product(c,c)) = bigC(b,X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,X_23,product(c,c)),bigC(b,X_23,product(c,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_10181,plain,
    ( product(c,c) != c
    | bigC(b,X_23,product(c,c)) = bigC(b,X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,X_23,product(c,c)),bigC(b,X_23,product(c,c))) )],[refute_0_10179,refute_0_10180]) ).

cnf(refute_0_10182,plain,
    bigC(b,X_23,product(c,c)) = bigC(b,X_23,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_10181]) ).

cnf(refute_0_10183,plain,
    bigC(product(b,b),X_23,product(c,c)) = bigC(product(b,b),X_23,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(product(b,b),X_23,product(c,c)))]]) ).

cnf(refute_0_10184,plain,
    ( bigC(product(b,b),X_23,product(c,c)) != bigC(product(b,b),X_23,product(c,c))
    | product(b,b) != b
    | bigC(product(b,b),X_23,product(c,c)) = bigC(b,X_23,product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,b),X_23,product(c,c)),bigC(product(b,b),X_23,product(c,c))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_10185,plain,
    ( product(b,b) != b
    | bigC(product(b,b),X_23,product(c,c)) = bigC(b,X_23,product(c,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),X_23,product(c,c)),bigC(product(b,b),X_23,product(c,c))) )],[refute_0_10183,refute_0_10184]) ).

cnf(refute_0_10186,plain,
    bigC(product(b,b),X_23,product(c,c)) = bigC(b,X_23,product(c,c)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_10185]) ).

cnf(refute_0_10187,plain,
    ( bigC(b,X_23,product(c,c)) != bigC(b,X_23,c)
    | bigC(product(b,b),X_23,product(c,c)) != bigC(b,X_23,product(c,c))
    | bigC(product(b,b),X_23,product(c,c)) = bigC(b,X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,b),X_23,product(c,c)))),bind(Y,$fot(bigC(b,X_23,product(c,c)))),bind(Z,$fot(bigC(b,X_23,c)))]]) ).

cnf(refute_0_10188,plain,
    ( bigC(b,X_23,product(c,c)) != bigC(b,X_23,c)
    | bigC(product(b,b),X_23,product(c,c)) = bigC(b,X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),X_23,product(c,c)),bigC(b,X_23,product(c,c))) )],[refute_0_10186,refute_0_10187]) ).

cnf(refute_0_10189,plain,
    bigC(product(b,b),X_23,product(c,c)) = bigC(b,X_23,c),
    inference(resolve,[$cnf( $equal(bigC(b,X_23,product(c,c)),bigC(b,X_23,c)) )],[refute_0_10182,refute_0_10188]) ).

cnf(refute_0_10190,plain,
    product(bigC(b,b,c),product(X_23,product(c,b))) = bigC(product(b,b),X_23,product(c,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_23)),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10191,plain,
    ( bigC(product(b,b),X_23,product(c,c)) != bigC(b,X_23,c)
    | product(bigC(b,b,c),product(X_23,product(c,b))) != bigC(product(b,b),X_23,product(c,c))
    | product(bigC(b,b,c),product(X_23,product(c,b))) = bigC(b,X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(X_23,product(c,b))))),bind(Y,$fot(bigC(product(b,b),X_23,product(c,c)))),bind(Z,$fot(bigC(b,X_23,c)))]]) ).

cnf(refute_0_10192,plain,
    ( bigC(product(b,b),X_23,product(c,c)) != bigC(b,X_23,c)
    | product(bigC(b,b,c),product(X_23,product(c,b))) = bigC(b,X_23,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(X_23,product(c,b))),bigC(product(b,b),X_23,product(c,c))) )],[refute_0_10190,refute_0_10191]) ).

cnf(refute_0_10193,plain,
    product(bigC(b,b,c),product(X_23,product(c,b))) = bigC(b,X_23,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),X_23,product(c,c)),bigC(b,X_23,c)) )],[refute_0_10189,refute_0_10192]) ).

cnf(refute_0_10194,plain,
    ( bigC(product(c,b),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,product(c,b)))
    | product(bigC(b,b,c),product(X_23,product(c,b))) != bigC(b,X_23,c)
    | bigC(product(c,b),product(b,c),X_23) = bigC(b,X_23,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(b,c),X_23),bigC(b,X_23,c)) ),[0],$fot(product(bigC(b,b,c),product(X_23,product(c,b))))]]) ).

cnf(refute_0_10195,plain,
    ( bigC(product(c,b),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,product(c,b)))
    | bigC(product(c,b),product(b,c),X_23) = bigC(b,X_23,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(X_23,product(c,b))),bigC(b,X_23,c)) )],[refute_0_10193,refute_0_10194]) ).

cnf(refute_0_10196,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,product(c,b)))
    | bigC(product(c,b),product(b,c),X_23) = bigC(b,X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,c),X_23),product(bigC(b,b,c),product(X_23,product(c,b)))) )],[refute_0_10178,refute_0_10195]) ).

cnf(refute_0_10197,plain,
    bigC(product(c,b),product(b,c),X_23) = bigC(b,X_23,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),product(b,c),X_23),product(bigC(b,b,c),product(X_23,product(c,b)))) )],[refute_0_10172,refute_0_10196]) ).

cnf(refute_0_10198,plain,
    ( bigC(product(c,b),product(b,c),X_23) != bigC(b,X_23,c)
    | bigC(product(c,b),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | bigC(b,X_23,c) = product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(b,c),X_23),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) ),[0],$fot(bigC(b,X_23,c))]]) ).

cnf(refute_0_10199,plain,
    ( bigC(product(c,b),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | bigC(b,X_23,c) = product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,c),X_23),bigC(b,X_23,c)) )],[refute_0_10197,refute_0_10198]) ).

cnf(refute_0_10200,plain,
    bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) = bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)))]]) ).

cnf(refute_0_10201,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) != bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c))
    | quotient(bigC(b,b,c),product(b,c)) != product(c,b)
    | bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) = bigC(product(c,b),X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)),bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_10202,plain,
    ( quotient(bigC(b,b,c),product(b,c)) != product(c,b)
    | bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) = bigC(product(c,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)),bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c))) )],[refute_0_10200,refute_0_10201]) ).

cnf(refute_0_10203,plain,
    bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) = bigC(product(c,b),X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),product(b,c)),product(c,b)) )],[refute_0_10166,refute_0_10202]) ).

cnf(refute_0_10204,plain,
    product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) = bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(bigC(b,b,c))),bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_10205,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) != bigC(product(c,b),X_23,product(b,c))
    | product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) != bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c))
    | product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) = bigC(product(c,b),X_23,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))))),bind(Y,$fot(bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)))),bind(Z,$fot(bigC(product(c,b),X_23,product(b,c))))]]) ).

cnf(refute_0_10206,plain,
    ( bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)) != bigC(product(c,b),X_23,product(b,c))
    | product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) = bigC(product(c,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))),bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c))) )],[refute_0_10204,refute_0_10205]) ).

cnf(refute_0_10207,plain,
    product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) = bigC(product(c,b),X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,b,c),product(b,c)),X_23,product(b,c)),bigC(product(c,b),X_23,product(b,c))) )],[refute_0_10203,refute_0_10206]) ).

cnf(refute_0_10208,plain,
    ( bigC(b,X_23,c) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))) != bigC(product(c,b),X_23,product(b,c))
    | bigC(b,X_23,c) = bigC(product(c,b),X_23,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,X_23,c),bigC(product(c,b),X_23,product(b,c))) ),[0],$fot(product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))))]]) ).

cnf(refute_0_10209,plain,
    ( bigC(b,X_23,c) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | bigC(b,X_23,c) = bigC(product(c,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c)))),bigC(product(c,b),X_23,product(b,c))) )],[refute_0_10207,refute_0_10208]) ).

cnf(refute_0_10210,plain,
    ( bigC(product(c,b),product(b,c),X_23) != product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))
    | bigC(b,X_23,c) = bigC(product(c,b),X_23,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,X_23,c),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) )],[refute_0_10199,refute_0_10209]) ).

cnf(refute_0_10211,plain,
    bigC(b,X_23,c) = bigC(product(c,b),X_23,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,c),X_23),product(bigC(b,b,c),product(X_23,quotient(bigC(b,b,c),product(b,c))))) )],[refute_0_10169,refute_0_10210]) ).

cnf(refute_0_10212,plain,
    ( bigC(b,X_23,c) != bigC(product(c,b),X_23,product(b,c))
    | bigC(product(c,b),X_23,product(b,c)) = bigC(b,X_23,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,X_23,c))),bind(Y,$fot(bigC(product(c,b),X_23,product(b,c))))]]) ).

cnf(refute_0_10213,plain,
    bigC(product(c,b),X_23,product(b,c)) = bigC(b,X_23,c),
    inference(resolve,[$cnf( $equal(bigC(b,X_23,c),bigC(product(c,b),X_23,product(b,c))) )],[refute_0_10211,refute_0_10212]) ).

cnf(refute_0_10214,plain,
    bigC(product(c,b),X_22,product(b,c)) = bigC(b,X_22,c),
    inference(subst,[],[refute_0_10213:[bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_10215,plain,
    ( bigC(product(c,b),X_22,product(b,c)) != bigC(b,X_22,c)
    | bigC(product(c,b),X_22,product(b,c)) != product(product(product(c,b),X_22),bigC(a,b,b))
    | bigC(b,X_22,c) = product(product(product(c,b),X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_22,product(b,c)),product(product(product(c,b),X_22),bigC(a,b,b))) ),[0],$fot(bigC(b,X_22,c))]]) ).

cnf(refute_0_10216,plain,
    ( bigC(product(c,b),X_22,product(b,c)) != product(product(product(c,b),X_22),bigC(a,b,b))
    | bigC(b,X_22,c) = product(product(product(c,b),X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(b,c)),bigC(b,X_22,c)) )],[refute_0_10214,refute_0_10215]) ).

cnf(refute_0_10217,plain,
    bigC(b,X_22,c) = product(product(product(c,b),X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(b,c)),product(product(product(c,b),X_22),bigC(a,b,b))) )],[refute_0_10061,refute_0_10216]) ).

cnf(refute_0_10218,plain,
    ( bigC(b,X_22,c) != product(product(product(c,b),X_22),bigC(a,b,b))
    | product(product(product(c,b),X_22),bigC(a,b,b)) = bigC(b,X_22,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,X_22,c))),bind(Y,$fot(product(product(product(c,b),X_22),bigC(a,b,b))))]]) ).

cnf(refute_0_10219,plain,
    product(product(product(c,b),X_22),bigC(a,b,b)) = bigC(b,X_22,c),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,c),product(product(product(c,b),X_22),bigC(a,b,b))) )],[refute_0_10217,refute_0_10218]) ).

cnf(refute_0_10220,plain,
    product(product(product(c,b),b),bigC(a,b,b)) = bigC(b,b,c),
    inference(subst,[],[refute_0_10219:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_10221,plain,
    product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_10222,plain,
    ( product(product(product(c,b),b),bigC(a,b,b)) != bigC(b,b,c)
    | product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) != product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))
    | product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(b,b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10223,plain,
    ( product(product(product(c,b),b),bigC(a,b,b)) != bigC(b,b,c)
    | product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(b,b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))) )],[refute_0_10221,refute_0_10222]) ).

cnf(refute_0_10224,plain,
    product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(b,b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(a,b,b)),bigC(b,b,c)) )],[refute_0_10220,refute_0_10223]) ).

cnf(refute_0_10225,plain,
    ( product(bigC(b,b,c),bigC(a,b,b)) != bigC(b,b,product(c,a))
    | product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(b,b,c),bigC(a,b,b))
    | product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(product(bigC(b,b,c),bigC(a,b,b)))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_10226,plain,
    ( product(bigC(b,b,c),bigC(a,b,b)) != bigC(b,b,product(c,a))
    | product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),product(bigC(b,b,c),bigC(a,b,b))) )],[refute_0_10224,refute_0_10225]) ).

cnf(refute_0_10227,plain,
    product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(a,b,b)),bigC(b,b,product(c,a))) )],[refute_0_10050,refute_0_10226]) ).

cnf(refute_0_10228,plain,
    ( product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)) != bigC(b,b,product(c,a))
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) != product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = bigC(b,b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))) ),[1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_10229,plain,
    ( quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) != product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(b,b,product(c,a))) )],[refute_0_10227,refute_0_10228]) ).

cnf(refute_0_10230,plain,
    quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b))) )],[refute_0_9482,refute_0_10229]) ).

cnf(refute_0_10231,plain,
    ( difference(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) != bigC(b,b,product(c,a))
    | difference(bigC(b,b,product(c,a)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) ),[0,0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_10232,plain,
    ( difference(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | difference(bigC(b,b,product(c,a)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),bigC(b,b,product(c,a))) )],[refute_0_10230,refute_0_10231]) ).

cnf(refute_0_10233,plain,
    difference(bigC(b,b,product(c,a)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_9148,refute_0_10232]) ).

cnf(refute_0_10234,plain,
    difference(product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(product(c,b),b))),bind(X_16,$fot(product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10235,plain,
    ( difference(product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != difference(product(product(a,b),b),product(product(c,b),b))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))) ),[0,0,0],$fot(difference(product(product(a,b),b),product(product(c,b),b)))]]) ).

cnf(refute_0_10236,plain,
    ( difference(product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),difference(product(product(a,b),b),product(product(c,b),b))) )],[refute_0_9358,refute_0_10235]) ).

cnf(refute_0_10237,plain,
    difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))) )],[refute_0_10234,refute_0_10236]) ).

cnf(refute_0_10238,plain,
    product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(X_63,$fot(bigC(c,a,b))),bind(X_64,$fot(product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10239,plain,
    ( difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))
    | product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) ),[0],$fot(product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_10240,plain,
    ( difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b))),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) )],[refute_0_10238,refute_0_10239]) ).

cnf(refute_0_10241,plain,
    difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(bigC(c,a,b),product(b,c)),product(product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))) )],[refute_0_10237,refute_0_10240]) ).

cnf(refute_0_10242,plain,
    difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10243,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) != difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c)))
    | product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))),difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_10244,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))),difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10242,refute_0_10243]) ).

cnf(refute_0_10245,plain,
    difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_10244]) ).

cnf(refute_0_10246,plain,
    product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10247,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))
    | product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_10248,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10246,refute_0_10247]) ).

cnf(refute_0_10249,plain,
    product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_10248]) ).

cnf(refute_0_10250,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10251,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c)))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c)))) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_10252,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10250,refute_0_10251]) ).

cnf(refute_0_10253,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),bigC(c,b,b)) )],[refute_0_9385,refute_0_10252]) ).

cnf(refute_0_10254,plain,
    ( product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,b),bigC(c,b,c))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))))),bind(Y,$fot(product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))))),bind(Z,$fot(product(bigC(c,b,b),bigC(c,b,c))))]]) ).

cnf(refute_0_10255,plain,
    ( product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,b),bigC(c,b,c))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10253,refute_0_10254]) ).

cnf(refute_0_10256,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,b),bigC(c,b,c))) )],[refute_0_10249,refute_0_10255]) ).

cnf(refute_0_10257,plain,
    difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10258,plain,
    ( difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c)))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,b),bigC(c,b,c))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c)))) ),[1,0],$fot(product(bigC(c,b,b),bigC(c,b,c)))]]) ).

cnf(refute_0_10259,plain,
    ( product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,b),bigC(c,b,c))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10257,refute_0_10258]) ).

cnf(refute_0_10260,plain,
    difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,b),bigC(c,b,c))) )],[refute_0_10256,refute_0_10259]) ).

cnf(refute_0_10261,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) != difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c)))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))))),bind(Y,$fot(difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))))),bind(Z,$fot(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_10262,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))) != difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10260,refute_0_10261]) ).

cnf(refute_0_10263,plain,
    difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,a,b),product(b,c))),difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_10245,refute_0_10262]) ).

cnf(refute_0_10264,plain,
    ( difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))
    | difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) ),[0],$fot(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_10265,plain,
    ( difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_10263,refute_0_10264]) ).

cnf(refute_0_10266,plain,
    product(c,product(bigC(c,a,b),product(b,c))) = product(c,product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10267,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(c,product(bigC(c,a,b),product(b,c))) != product(c,product(bigC(c,a,b),product(b,c)))
    | product(c,product(bigC(c,a,b),product(b,c))) = product(c,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(c,a,b),product(b,c))),product(c,product(bigC(c,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_10268,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(c,product(bigC(c,a,b),product(b,c))) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(c,a,b),product(b,c))),product(c,product(bigC(c,a,b),product(b,c)))) )],[refute_0_10266,refute_0_10267]) ).

cnf(refute_0_10269,plain,
    product(c,product(bigC(c,a,b),product(b,c))) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_10268]) ).

cnf(refute_0_10270,plain,
    product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10271,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) != product(bigC(c,a,b),product(bigC(c,a,b),product(b,c)))
    | product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(c,product(bigC(c,a,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(bigC(c,a,b),product(b,c)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_10272,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(c,product(bigC(c,a,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10270,refute_0_10271]) ).

cnf(refute_0_10273,plain,
    product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(c,product(bigC(c,a,b),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_10272]) ).

cnf(refute_0_10274,plain,
    ( product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) != product(c,product(bigC(c,a,b),product(b,c)))
    | product(c,product(bigC(c,a,b),product(b,c))) != product(c,bigC(c,b,c))
    | product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))))),bind(Y,$fot(product(c,product(bigC(c,a,b),product(b,c))))),bind(Z,$fot(product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_10275,plain,
    ( product(c,product(bigC(c,a,b),product(b,c))) != product(c,bigC(c,b,c))
    | product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),product(c,product(bigC(c,a,b),product(b,c)))) )],[refute_0_10273,refute_0_10274]) ).

cnf(refute_0_10276,plain,
    product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(c,a,b),product(b,c))),product(c,bigC(c,b,c))) )],[refute_0_10269,refute_0_10275]) ).

cnf(refute_0_10277,plain,
    product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) = product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10278,plain,
    ( product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) != product(c,bigC(c,b,c))
    | product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) ),[1,0],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_10279,plain,
    ( product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))) != product(c,bigC(c,b,c))
    | product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) )],[refute_0_10277,refute_0_10278]) ).

cnf(refute_0_10280,plain,
    product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),product(c,bigC(c,b,c))) )],[refute_0_10276,refute_0_10279]) ).

cnf(refute_0_10281,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) ),[0],$fot(product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10282,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b))),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) )],[refute_0_10280,refute_0_10281]) ).

cnf(refute_0_10283,plain,
    ( difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))) != product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) )],[refute_0_10265,refute_0_10282]) ).

cnf(refute_0_10284,plain,
    difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(product(a,b),b),product(product(c,b),b)),product(bigC(c,a,b),product(b,c))),product(bigC(c,a,b),product(b,c))),product(product(bigC(c,a,b),product(bigC(c,a,b),product(b,c))),bigC(b,c,product(c,b)))) )],[refute_0_10241,refute_0_10283]) ).

cnf(refute_0_10285,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)))]]) ).

cnf(refute_0_10286,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) != difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10287,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c))) )],[refute_0_10285,refute_0_10286]) ).

cnf(refute_0_10288,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_10287]) ).

cnf(refute_0_10289,plain,
    product(bigC(c,b,b),bigC(c,b,c)) = product(bigC(c,b,b),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),bigC(c,b,c)))]]) ).

cnf(refute_0_10290,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,b),bigC(c,b,c)) != product(bigC(c,b,b),bigC(c,b,c))
    | product(bigC(c,b,b),bigC(c,b,c)) = product(bigC(c,b,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,b,b),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10291,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,b),bigC(c,b,c)) = product(bigC(c,b,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,b,b),bigC(c,b,c))) )],[refute_0_10289,refute_0_10290]) ).

cnf(refute_0_10292,plain,
    product(bigC(c,b,b),bigC(c,b,c)) = product(bigC(c,b,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_10291]) ).

cnf(refute_0_10293,plain,
    difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_10294,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))
    | product(bigC(c,b,b),bigC(c,b,c)) != product(bigC(c,b,b),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))) ),[1,0],$fot(product(bigC(c,b,b),bigC(b,a,b)))]]) ).

cnf(refute_0_10295,plain,
    ( product(bigC(c,b,b),bigC(c,b,c)) != product(bigC(c,b,b),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_10293,refute_0_10294]) ).

cnf(refute_0_10296,plain,
    difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(c,b,c)),product(bigC(c,b,b),bigC(b,a,b))) )],[refute_0_10292,refute_0_10295]) ).

cnf(refute_0_10297,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) != difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)))),bind(Y,$fot(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)))),bind(Z,$fot(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_10298,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)) != difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c))) )],[refute_0_10296,refute_0_10297]) ).

cnf(refute_0_10299,plain,
    difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_10288,refute_0_10298]) ).

cnf(refute_0_10300,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) ),[0],$fot(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10301,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_10299,refute_0_10300]) ).

cnf(refute_0_10302,plain,
    product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) = product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10303,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_10304,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) )],[refute_0_10302,refute_0_10303]) ).

cnf(refute_0_10305,plain,
    product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(b,a,b))) )],[refute_0_1637,refute_0_10304]) ).

cnf(refute_0_10306,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))) != product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))) ),[0],$fot(product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10307,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b))),product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))) )],[refute_0_10305,refute_0_10306]) ).

cnf(refute_0_10308,plain,
    ( difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)) != product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) )],[refute_0_10301,refute_0_10307]) ).

cnf(refute_0_10309,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(c,b,c)),bigC(c,b,c)),product(product(c,bigC(c,b,c)),bigC(b,c,product(c,b)))) )],[refute_0_10284,refute_0_10308]) ).

cnf(refute_0_10310,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),quotient(bigC(c,b,b),bigC(b,a,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(bigC(c,b,b))),bind(X_20,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_10311,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),quotient(bigC(c,b,b),bigC(b,a,b))))
    | quotient(bigC(c,b,b),bigC(b,a,b)) != product(product(c,b),b)
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),quotient(bigC(c,b,b),bigC(b,a,b))))) ),[1,1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10312,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),quotient(bigC(c,b,b),bigC(b,a,b))))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_9402,refute_0_10311]) ).

cnf(refute_0_10313,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),quotient(bigC(c,b,b),bigC(b,a,b))))) )],[refute_0_10310,refute_0_10312]) ).

cnf(refute_0_10314,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) = product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))) ),[0],$fot(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10315,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) = product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))) )],[refute_0_10309,refute_0_10314]) ).

cnf(refute_0_10316,plain,
    bigC(X_21,difference(X_21,bigC(X_21,X_75,X_21)),X_23) = product(bigC(X_21,X_75,X_21),product(X_23,X_21)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(X_21,X_75,X_21)))]]) ).

cnf(refute_0_10317,plain,
    difference(X_21,bigC(X_21,X_75,X_21)) = product(X_75,X_21),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(X_21)),bind(X_37,$fot(X_75))]]) ).

cnf(refute_0_10318,plain,
    ( bigC(X_21,difference(X_21,bigC(X_21,X_75,X_21)),X_23) != product(bigC(X_21,X_75,X_21),product(X_23,X_21))
    | difference(X_21,bigC(X_21,X_75,X_21)) != product(X_75,X_21)
    | bigC(X_21,product(X_75,X_21),X_23) = product(bigC(X_21,X_75,X_21),product(X_23,X_21)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(X_21,difference(X_21,bigC(X_21,X_75,X_21)),X_23),product(bigC(X_21,X_75,X_21),product(X_23,X_21))) ),[0,1],$fot(product(X_75,X_21))]]) ).

cnf(refute_0_10319,plain,
    ( bigC(X_21,difference(X_21,bigC(X_21,X_75,X_21)),X_23) != product(bigC(X_21,X_75,X_21),product(X_23,X_21))
    | bigC(X_21,product(X_75,X_21),X_23) = product(bigC(X_21,X_75,X_21),product(X_23,X_21)) ),
    inference(resolve,[$cnf( $equal(difference(X_21,bigC(X_21,X_75,X_21)),product(X_75,X_21)) )],[refute_0_10317,refute_0_10318]) ).

cnf(refute_0_10320,plain,
    bigC(X_21,product(X_75,X_21),X_23) = product(bigC(X_21,X_75,X_21),product(X_23,X_21)),
    inference(resolve,[$cnf( $equal(bigC(X_21,difference(X_21,bigC(X_21,X_75,X_21)),X_23),product(bigC(X_21,X_75,X_21),product(X_23,X_21))) )],[refute_0_10316,refute_0_10319]) ).

cnf(refute_0_10321,plain,
    ( bigC(X_21,product(X_75,X_21),X_23) != product(bigC(X_21,X_75,X_21),product(X_23,X_21))
    | product(bigC(X_21,X_75,X_21),product(X_23,X_21)) = bigC(X_21,product(X_75,X_21),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_21,product(X_75,X_21),X_23))),bind(Y,$fot(product(bigC(X_21,X_75,X_21),product(X_23,X_21))))]]) ).

cnf(refute_0_10322,plain,
    product(bigC(X_21,X_75,X_21),product(X_23,X_21)) = bigC(X_21,product(X_75,X_21),X_23),
    inference(resolve,[$cnf( $equal(bigC(X_21,product(X_75,X_21),X_23),product(bigC(X_21,X_75,X_21),product(X_23,X_21))) )],[refute_0_10320,refute_0_10321]) ).

cnf(refute_0_10323,plain,
    product(bigC(b,a,b),product(product(c,b),b)) = bigC(b,product(a,b),product(c,b)),
    inference(subst,[],[refute_0_10322:[bind(X_21,$fot(b)),bind(X_23,$fot(product(c,b))),bind(X_75,$fot(a))]]) ).

cnf(refute_0_10324,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) = product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))))]]) ).

cnf(refute_0_10325,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) != product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))
    | product(bigC(b,a,b),product(product(c,b),b)) != bigC(b,product(a,b),product(c,b))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))),product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))) ),[1,1],$fot(bigC(b,product(a,b),product(c,b)))]]) ).

cnf(refute_0_10326,plain,
    ( product(bigC(b,a,b),product(product(c,b),b)) != bigC(b,product(a,b),product(c,b))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))),product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))) )],[refute_0_10324,refute_0_10325]) ).

cnf(refute_0_10327,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(c,b),b)),bigC(b,product(a,b),product(c,b))) )],[refute_0_10323,refute_0_10326]) ).

cnf(refute_0_10328,plain,
    ( product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) != product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))) ),[1],$fot(product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))))]]) ).

cnf(refute_0_10329,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) != product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b))),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) )],[refute_0_10327,refute_0_10328]) ).

cnf(refute_0_10330,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))) )],[refute_0_10315,refute_0_10329]) ).

cnf(refute_0_10331,plain,
    product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(product(c,b),b)))) )],[refute_0_10313,refute_0_10330]) ).

cnf(refute_0_10332,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) ),[0],$fot(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10333,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) )],[refute_0_10331,refute_0_10332]) ).

cnf(refute_0_10334,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))) )],[refute_0_10309,refute_0_10333]) ).

cnf(refute_0_10335,plain,
    product(bigC(c,b,b),bigC(b,a,b)) = product(bigC(c,b,b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),bigC(b,a,b)))]]) ).

cnf(refute_0_10336,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),bigC(b,a,b)) != product(bigC(c,b,b),bigC(b,a,b))
    | product(bigC(c,b,b),bigC(b,a,b)) = product(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),bigC(b,a,b)),product(bigC(c,b,b),bigC(b,a,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10337,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),bigC(b,a,b)) = product(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(b,a,b)),product(bigC(c,b,b),bigC(b,a,b))) )],[refute_0_10335,refute_0_10336]) ).

cnf(refute_0_10338,plain,
    product(bigC(c,b,b),bigC(b,a,b)) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_10337]) ).

cnf(refute_0_10339,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10340,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))
    | product(bigC(c,b,b),bigC(b,a,b)) != product(bigC(b,b,c),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))) ),[1,0],$fot(product(bigC(b,b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_10341,plain,
    ( product(bigC(c,b,b),bigC(b,a,b)) != product(bigC(b,b,c),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_10339,refute_0_10340]) ).

cnf(refute_0_10342,plain,
    difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) = difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),bigC(b,a,b)),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_10338,refute_0_10341]) ).

cnf(refute_0_10343,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))
    | difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) ),[0],$fot(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10344,plain,
    ( difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_10342,refute_0_10343]) ).

cnf(refute_0_10345,plain,
    difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) )],[refute_0_10334,refute_0_10344]) ).

cnf(refute_0_10346,plain,
    product(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,bigC(b,b,c)))),bind(B,$fot(product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_10347,plain,
    quotient(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))) = bigC(c,c,product(c,b)),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(c,c,product(c,b)))),bind(B,$fot(product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_10348,plain,
    bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(product(product(c,product(c,b)),bigC(c,b,b)),product(c,product(c,b))),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(c,product(c,b)))),bind(X_22,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_10349,plain,
    ( bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(product(product(c,product(c,b)),bigC(c,b,b)),product(c,product(c,b)))
    | product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(product(c,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))),product(product(product(c,product(c,b)),bigC(c,b,b)),product(c,product(c,b)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_10350,plain,
    ( bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(product(product(c,product(c,b)),bigC(c,b,b)),product(c,product(c,b)))
    | bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(product(c,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,b)),product(c,b)) )],[refute_0_2269,refute_0_10349]) ).

cnf(refute_0_10351,plain,
    bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(product(c,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))),product(product(product(c,product(c,b)),bigC(c,b,b)),product(c,product(c,b)))) )],[refute_0_10348,refute_0_10350]) ).

cnf(refute_0_10352,plain,
    product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) = product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_10353,plain,
    ( bigC(c,product(c,b),c) != bigC(c,c,product(c,b))
    | product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) != product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b)))
    | product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))),product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b)))) ),[1,0],$fot(bigC(c,c,product(c,b)))]]) ).

cnf(refute_0_10354,plain,
    ( bigC(c,product(c,b),c) != bigC(c,c,product(c,b))
    | product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))),product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b)))) )],[refute_0_10352,refute_0_10353]) ).

cnf(refute_0_10355,plain,
    product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),bigC(c,c,product(c,b))) )],[refute_0_1690,refute_0_10354]) ).

cnf(refute_0_10356,plain,
    bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(bigC(c,b,b))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_10357,plain,
    ( bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b)))
    | product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) != product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))
    | bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))))),bind(Y,$fot(product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))))),bind(Z,$fot(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))))]]) ).

cnf(refute_0_10358,plain,
    ( product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))) != product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))
    | bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))),product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b)))) )],[refute_0_10356,refute_0_10357]) ).

cnf(refute_0_10359,plain,
    bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),product(bigC(c,b,b),product(c,b))),product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))) )],[refute_0_10355,refute_0_10358]) ).

cnf(refute_0_10360,plain,
    ( bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))
    | bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(product(c,b),product(c,product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))),product(product(c,b),product(c,product(c,b)))) ),[0],$fot(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_10361,plain,
    ( bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(product(c,b),product(c,product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))),product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))) )],[refute_0_10359,refute_0_10360]) ).

cnf(refute_0_10362,plain,
    product(c,product(b,product(c,b))) = product(c,product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,product(b,product(c,b))))]]) ).

cnf(refute_0_10363,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | product(c,product(b,product(c,b))) != product(c,product(b,product(c,b)))
    | product(c,product(b,product(c,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(b,product(c,b))),product(c,product(b,product(c,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10364,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | product(c,product(b,product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,b))),product(c,product(b,product(c,b)))) )],[refute_0_10362,refute_0_10363]) ).

cnf(refute_0_10365,plain,
    product(c,product(b,product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,b)),bigC(b,b,c)) )],[refute_0_5615,refute_0_10364]) ).

cnf(refute_0_10366,plain,
    product(product(c,b),product(c,product(c,b))) = product(c,product(b,product(c,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_10367,plain,
    ( product(c,product(b,product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,b),product(c,product(c,b))) != product(c,product(b,product(c,b)))
    | product(product(c,b),product(c,product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(c,product(c,b))))),bind(Y,$fot(product(c,product(b,product(c,b))))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_10368,plain,
    ( product(c,product(b,product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,b),product(c,product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(c,b))),product(c,product(b,product(c,b)))) )],[refute_0_10366,refute_0_10367]) ).

cnf(refute_0_10369,plain,
    product(product(c,b),product(c,product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10365,refute_0_10368]) ).

cnf(refute_0_10370,plain,
    ( product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(product(c,b),product(c,product(c,b)))
    | product(product(c,b),product(c,product(c,b))) != product(c,bigC(b,b,c))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) ),[0],$fot(product(product(c,b),product(c,product(c,b))))]]) ).

cnf(refute_0_10371,plain,
    ( product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(product(c,b),product(c,product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10369,refute_0_10370]) ).

cnf(refute_0_10372,plain,
    ( bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))) != product(product(c,b),product(c,product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(product(c,b),product(c,product(c,b)))) )],[refute_0_10361,refute_0_10371]) ).

cnf(refute_0_10373,plain,
    product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,product(c,b)),bigC(c,b,b),product(c,product(c,b))),product(product(c,b),product(c,product(c,b)))) )],[refute_0_10351,refute_0_10372]) ).

cnf(refute_0_10374,plain,
    ( product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | quotient(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))) != bigC(c,c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = bigC(c,c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))),bigC(c,c,product(c,b))) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_10375,plain,
    ( quotient(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))) != bigC(c,c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = bigC(c,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10373,refute_0_10374]) ).

cnf(refute_0_10376,plain,
    quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = bigC(c,c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))),bigC(c,c,product(c,b))) )],[refute_0_10347,refute_0_10375]) ).

cnf(refute_0_10377,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) != bigC(c,c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),bigC(c,c,product(c,b))) ),[1],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_10378,plain,
    ( quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) != bigC(c,c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,b)),product(c,bigC(c,b,c))) )],[refute_0_1645,refute_0_10377]) ).

cnf(refute_0_10379,plain,
    quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),bigC(c,c,product(c,b))) )],[refute_0_10376,refute_0_10378]) ).

cnf(refute_0_10380,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(b,a,b))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(c,b,c))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(c,bigC(c,b,c))) ),[1],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_10381,plain,
    ( quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(c,b,c))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(b,a,b))) )],[refute_0_1637,refute_0_10380]) ).

cnf(refute_0_10382,plain,
    quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(c,bigC(c,b,c))) )],[refute_0_10379,refute_0_10381]) ).

cnf(refute_0_10383,plain,
    ( product(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) ),[0,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_10384,plain,
    ( product(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,a,b))) )],[refute_0_10382,refute_0_10383]) ).

cnf(refute_0_10385,plain,
    product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,bigC(b,b,c)),product(bigC(c,b,b),product(c,b))),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10346,refute_0_10384]) ).

cnf(refute_0_10386,plain,
    bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(product(product(c,b),product(product(c,b),product(b,a))),product(c,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_10387,plain,
    ( bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(product(c,b),product(b,a))),product(c,b))
    | product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(product(c,b),product(b,a))),product(c,b))) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_10388,plain,
    ( bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != product(product(product(c,b),product(product(c,b),product(b,a))),product(c,b))
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_10387]) ).

cnf(refute_0_10389,plain,
    bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),product(product(product(c,b),product(product(c,b),product(b,a))),product(c,b))) )],[refute_0_10386,refute_0_10388]) ).

cnf(refute_0_10390,plain,
    product(product(c,b),bigC(b,a,b)) = bigC(c,b,product(c,b)),
    inference(subst,[],[refute_0_9877:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_10391,plain,
    product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) = product(product(c,b),bigC(b,a,b)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(b)),bind(X_66,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_10392,plain,
    ( product(product(c,b),bigC(b,a,b)) != bigC(c,b,product(c,b))
    | product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) != product(product(c,b),bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) = bigC(c,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))))),bind(Y,$fot(product(product(c,b),bigC(b,a,b)))),bind(Z,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_10393,plain,
    ( product(product(c,b),bigC(b,a,b)) != bigC(c,b,product(c,b))
    | product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) = bigC(c,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))),product(product(c,b),bigC(b,a,b))) )],[refute_0_10391,refute_0_10392]) ).

cnf(refute_0_10394,plain,
    product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(b,a,b)),bigC(c,b,product(c,b))) )],[refute_0_10390,refute_0_10393]) ).

cnf(refute_0_10395,plain,
    bigC(b,b,product(b,a)) = product(b,bigC(b,a,b)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(a)),bind(X_83,$fot(b))]]) ).

cnf(refute_0_10396,plain,
    bigC(b,product(b,a),b) = bigC(b,b,product(b,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_10397,plain,
    ( bigC(b,b,product(b,a)) != product(b,bigC(b,a,b))
    | bigC(b,product(b,a),b) != bigC(b,b,product(b,a))
    | bigC(b,product(b,a),b) = product(b,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(b,a),b))),bind(Y,$fot(bigC(b,b,product(b,a)))),bind(Z,$fot(product(b,bigC(b,a,b))))]]) ).

cnf(refute_0_10398,plain,
    ( bigC(b,b,product(b,a)) != product(b,bigC(b,a,b))
    | bigC(b,product(b,a),b) = product(b,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,a),b),bigC(b,b,product(b,a))) )],[refute_0_10396,refute_0_10397]) ).

cnf(refute_0_10399,plain,
    bigC(b,product(b,a),b) = product(b,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,a)),product(b,bigC(b,a,b))) )],[refute_0_10395,refute_0_10398]) ).

cnf(refute_0_10400,plain,
    product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)))]]) ).

cnf(refute_0_10401,plain,
    ( bigC(b,product(b,a),b) != product(b,bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) != product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b))
    | product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)),product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b))) ),[1,1],$fot(product(b,bigC(b,a,b)))]]) ).

cnf(refute_0_10402,plain,
    ( bigC(b,product(b,a),b) != product(b,bigC(b,a,b))
    | product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)),product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b))) )],[refute_0_10400,refute_0_10401]) ).

cnf(refute_0_10403,plain,
    product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,a),b),product(b,bigC(b,a,b))) )],[refute_0_10399,refute_0_10402]) ).

cnf(refute_0_10404,plain,
    product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)))]]) ).

cnf(refute_0_10405,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(b,a,b))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) != product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))) ),[1,0],$fot(product(c,bigC(b,a,b)))]]) ).

cnf(refute_0_10406,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(b,a,b))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))) )],[refute_0_10404,refute_0_10405]) ).

cnf(refute_0_10407,plain,
    product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(b,a,b))) )],[refute_0_1696,refute_0_10406]) ).

cnf(refute_0_10408,plain,
    ( product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) != product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b))
    | product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) != product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b)))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)))),bind(Y,$fot(product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)))),bind(Z,$fot(product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b)))))]]) ).

cnf(refute_0_10409,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)) != product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b)))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b))) )],[refute_0_10407,refute_0_10408]) ).

cnf(refute_0_10410,plain,
    product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,product(b,a),b)),product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b)))) )],[refute_0_10403,refute_0_10409]) ).

cnf(refute_0_10411,plain,
    ( product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) != product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b)))
    | product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) != bigC(c,b,product(c,b))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = bigC(c,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)))),bind(Y,$fot(product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))))),bind(Z,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_10412,plain,
    ( product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))) != bigC(c,b,product(c,b))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = bigC(c,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b)))) )],[refute_0_10410,refute_0_10411]) ).

cnf(refute_0_10413,plain,
    product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(b,bigC(b,a,b))),bigC(c,b,product(c,b))) )],[refute_0_10394,refute_0_10412]) ).

cnf(refute_0_10414,plain,
    product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b)) = product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),
    inference(subst,[],[refute_0_283:[bind(A,$fot(c)),bind(B,$fot(product(c,b))),bind(C,$fot(b)),bind(D,$fot(product(b,a)))]]) ).

cnf(refute_0_10415,plain,
    bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(product(product(c,b),product(b,a)))),bind(D,$fot(b))]]) ).

cnf(refute_0_10416,plain,
    ( bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b))
    | product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b)) != product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b)))),bind(Z,$fot(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))))]]) ).

cnf(refute_0_10417,plain,
    ( product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b)) != product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b))) )],[refute_0_10415,refute_0_10416]) ).

cnf(refute_0_10418,plain,
    bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(product(product(c,b),product(b,a)),b)),product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))) )],[refute_0_10414,refute_0_10417]) ).

cnf(refute_0_10419,plain,
    ( bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))
    | product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) != bigC(c,b,product(c,b))
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = bigC(c,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)))),bind(Y,$fot(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)))),bind(Z,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_10420,plain,
    ( product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)) != bigC(c,b,product(c,b))
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = bigC(c,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),product(bigC(c,product(c,b),c),bigC(b,product(b,a),b))) )],[refute_0_10418,refute_0_10419]) ).

cnf(refute_0_10421,plain,
    bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,product(c,b),c),bigC(b,product(b,a),b)),bigC(c,b,product(c,b))) )],[refute_0_10413,refute_0_10420]) ).

cnf(refute_0_10422,plain,
    ( bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != bigC(c,b,product(c,b))
    | bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != product(bigC(c,b,b),product(c,b))
    | bigC(c,b,product(c,b)) = product(bigC(c,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),product(bigC(c,b,b),product(c,b))) ),[0],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_10423,plain,
    ( bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)) != product(bigC(c,b,b),product(c,b))
    | bigC(c,b,product(c,b)) = product(bigC(c,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_10421,refute_0_10422]) ).

cnf(refute_0_10424,plain,
    bigC(c,b,product(c,b)) = product(bigC(c,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),product(b,a)),product(c,b)),product(bigC(c,b,b),product(c,b))) )],[refute_0_10389,refute_0_10423]) ).

cnf(refute_0_10425,plain,
    ( bigC(c,b,product(c,b)) != product(bigC(c,b,b),product(c,b))
    | product(bigC(c,b,b),product(c,b)) = bigC(c,b,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,product(c,b)))),bind(Y,$fot(product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_10426,plain,
    product(bigC(c,b,b),product(c,b)) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),product(bigC(c,b,b),product(c,b))) )],[refute_0_10424,refute_0_10425]) ).

cnf(refute_0_10427,plain,
    product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_10428,plain,
    ( product(bigC(c,b,b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) != product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b)))
    | product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))),product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b)))) ),[1,1],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_10429,plain,
    ( product(bigC(c,b,b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))),product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b)))) )],[refute_0_10427,refute_0_10428]) ).

cnf(refute_0_10430,plain,
    product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_10426,refute_0_10429]) ).

cnf(refute_0_10431,plain,
    ( product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) != product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) ),[0],$fot(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_10432,plain,
    ( product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))),product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b)))) )],[refute_0_10430,refute_0_10431]) ).

cnf(refute_0_10433,plain,
    product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10385,refute_0_10432]) ).

cnf(refute_0_10434,plain,
    product(bigC(c,b,b),product(c,b)) = product(bigC(c,b,b),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(c,b)))]]) ).

cnf(refute_0_10435,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),product(c,b)) != product(bigC(c,b,b),product(c,b))
    | product(bigC(c,b,b),product(c,b)) = product(bigC(b,b,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(c,b)),product(bigC(c,b,b),product(c,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10436,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),product(c,b)) = product(bigC(b,b,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(c,b)),product(bigC(c,b,b),product(c,b))) )],[refute_0_10434,refute_0_10435]) ).

cnf(refute_0_10437,plain,
    product(bigC(c,b,b),product(c,b)) = product(bigC(b,b,c),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_10436]) ).

cnf(refute_0_10438,plain,
    ( product(bigC(b,b,c),product(c,b)) != bigC(b,c,product(c,b))
    | product(bigC(c,b,b),product(c,b)) != product(bigC(b,b,c),product(c,b))
    | product(bigC(c,b,b),product(c,b)) = bigC(b,c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,b),product(c,b)))),bind(Y,$fot(product(bigC(b,b,c),product(c,b)))),bind(Z,$fot(bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_10439,plain,
    ( product(bigC(b,b,c),product(c,b)) != bigC(b,c,product(c,b))
    | product(bigC(c,b,b),product(c,b)) = bigC(b,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(c,b)),product(bigC(b,b,c),product(c,b))) )],[refute_0_10437,refute_0_10438]) ).

cnf(refute_0_10440,plain,
    product(bigC(c,b,b),product(c,b)) = bigC(b,c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_7929,refute_0_10439]) ).

cnf(refute_0_10441,plain,
    ( bigC(c,b,product(c,b)) != product(bigC(c,b,b),product(c,b))
    | product(bigC(c,b,b),product(c,b)) != bigC(b,c,product(c,b))
    | bigC(c,b,product(c,b)) = bigC(b,c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) ),[0],$fot(product(bigC(c,b,b),product(c,b)))]]) ).

cnf(refute_0_10442,plain,
    ( bigC(c,b,product(c,b)) != product(bigC(c,b,b),product(c,b))
    | bigC(c,b,product(c,b)) = bigC(b,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_10440,refute_0_10441]) ).

cnf(refute_0_10443,plain,
    bigC(c,b,product(c,b)) = bigC(b,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),product(bigC(c,b,b),product(c,b))) )],[refute_0_10424,refute_0_10442]) ).

cnf(refute_0_10444,plain,
    product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_10445,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) != product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b)))) ),[1,1],$fot(bigC(b,c,product(c,b)))]]) ).

cnf(refute_0_10446,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b)))) )],[refute_0_10444,refute_0_10445]) ).

cnf(refute_0_10447,plain,
    product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_10443,refute_0_10446]) ).

cnf(refute_0_10448,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) != product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))))),bind(Y,$fot(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))))),bind(Z,$fot(product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))))]]) ).

cnf(refute_0_10449,plain,
    ( product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b)))) )],[refute_0_10447,refute_0_10448]) ).

cnf(refute_0_10450,plain,
    product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) = product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(b,c,product(c,b))),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) )],[refute_0_10331,refute_0_10449]) ).

cnf(refute_0_10451,plain,
    ( product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) != product(c,bigC(b,b,c))
    | product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),product(c,bigC(b,b,c))) ),[0],$fot(product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))))]]) ).

cnf(refute_0_10452,plain,
    ( product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))) != product(c,bigC(b,b,c))
    | product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) )],[refute_0_10450,refute_0_10451]) ).

cnf(refute_0_10453,plain,
    product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,a,b)),bigC(c,b,product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10433,refute_0_10452]) ).

cnf(refute_0_10454,plain,
    ( difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))) != product(c,bigC(b,b,c))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),product(c,bigC(b,b,c))) ),[0],$fot(product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))))]]) ).

cnf(refute_0_10455,plain,
    ( difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,product(a,b),product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10453,refute_0_10454]) ).

cnf(refute_0_10456,plain,
    difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),bigC(b,product(a,b),product(c,b)))) )],[refute_0_10345,refute_0_10455]) ).

cnf(refute_0_10457,plain,
    difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_10458,plain,
    ( difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) != difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))
    | product(bigC(b,b,c),bigC(b,a,b)) != bigC(c,b,product(b,c))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = difference(bigC(c,b,product(b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))) ),[1,0],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_10459,plain,
    ( product(bigC(b,b,c),bigC(b,a,b)) != bigC(c,b,product(b,c))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = difference(bigC(c,b,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_10457,refute_0_10458]) ).

cnf(refute_0_10460,plain,
    difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) = difference(bigC(c,b,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,a,b)),bigC(c,b,product(b,c))) )],[refute_0_9741,refute_0_10459]) ).

cnf(refute_0_10461,plain,
    ( difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) != difference(bigC(c,b,product(b,c)),bigC(b,a,b))
    | difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),product(c,bigC(b,b,c))) ),[0],$fot(difference(bigC(c,b,product(b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_10462,plain,
    ( difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),difference(bigC(c,b,product(b,c)),bigC(b,a,b))) )],[refute_0_10460,refute_0_10461]) ).

cnf(refute_0_10463,plain,
    difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10456,refute_0_10462]) ).

cnf(refute_0_10464,plain,
    difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = difference(bigC(c,b,product(b,c)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,b,product(b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_10465,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | difference(bigC(c,b,product(b,c)),bigC(b,a,b)) != difference(bigC(c,b,product(b,c)),bigC(b,a,b))
    | difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,product(b,c)),bigC(b,a,b)),difference(bigC(c,b,product(b,c)),bigC(b,a,b))) ),[1,0],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_10466,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,c)),bigC(b,a,b)),difference(bigC(c,b,product(b,c)),bigC(b,a,b))) )],[refute_0_10464,refute_0_10465]) ).

cnf(refute_0_10467,plain,
    difference(bigC(c,b,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_10466]) ).

cnf(refute_0_10468,plain,
    ( difference(bigC(c,b,product(b,c)),bigC(b,a,b)) != difference(bigC(b,c,product(b,c)),bigC(b,a,b))
    | difference(bigC(c,b,product(b,c)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,product(b,c)),bigC(b,a,b)),product(c,bigC(b,b,c))) ),[0],$fot(difference(bigC(b,c,product(b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_10469,plain,
    ( difference(bigC(c,b,product(b,c)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,c)),bigC(b,a,b)),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) )],[refute_0_10467,refute_0_10468]) ).

cnf(refute_0_10470,plain,
    difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,c)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10463,refute_0_10469]) ).

cnf(refute_0_10471,plain,
    difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(b,c,product(b,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_10472,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) != difference(bigC(b,c,product(b,c)),bigC(b,a,b))
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(b,a,b)),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_10473,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(b,a,b)),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) )],[refute_0_10471,refute_0_10472]) ).

cnf(refute_0_10474,plain,
    difference(bigC(b,c,product(b,c)),bigC(b,a,b)) = difference(bigC(b,c,product(b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_10473]) ).

cnf(refute_0_10475,plain,
    ( difference(bigC(b,c,product(b,c)),bigC(b,a,b)) != difference(bigC(b,c,product(b,c)),bigC(a,b,b))
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(b,a,b)),product(c,bigC(b,b,c))) ),[0],$fot(difference(bigC(b,c,product(b,c)),bigC(a,b,b)))]]) ).

cnf(refute_0_10476,plain,
    ( difference(bigC(b,c,product(b,c)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(b,a,b)),difference(bigC(b,c,product(b,c)),bigC(a,b,b))) )],[refute_0_10474,refute_0_10475]) ).

cnf(refute_0_10477,plain,
    difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10470,refute_0_10476]) ).

cnf(refute_0_10478,plain,
    difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = difference(bigC(b,c,product(b,c)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(b,c,product(b,c)),bigC(a,b,b)))]]) ).

cnf(refute_0_10479,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | difference(bigC(b,c,product(b,c)),bigC(a,b,b)) != difference(bigC(b,c,product(b,c)),bigC(a,b,b))
    | difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = difference(bigC(b,b,product(c,a)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(a,b,b)),difference(bigC(b,c,product(b,c)),bigC(a,b,b))) ),[1,0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_10480,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = difference(bigC(b,b,product(c,a)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(a,b,b)),difference(bigC(b,c,product(b,c)),bigC(a,b,b))) )],[refute_0_10478,refute_0_10479]) ).

cnf(refute_0_10481,plain,
    difference(bigC(b,c,product(b,c)),bigC(a,b,b)) = difference(bigC(b,b,product(c,a)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_10045,refute_0_10480]) ).

cnf(refute_0_10482,plain,
    ( difference(bigC(b,c,product(b,c)),bigC(a,b,b)) != difference(bigC(b,b,product(c,a)),bigC(a,b,b))
    | difference(bigC(b,c,product(b,c)),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,b,product(c,a)),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(a,b,b)),product(c,bigC(b,b,c))) ),[0],$fot(difference(bigC(b,b,product(c,a)),bigC(a,b,b)))]]) ).

cnf(refute_0_10483,plain,
    ( difference(bigC(b,c,product(b,c)),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,b,product(c,a)),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(a,b,b)),difference(bigC(b,b,product(c,a)),bigC(a,b,b))) )],[refute_0_10481,refute_0_10482]) ).

cnf(refute_0_10484,plain,
    difference(bigC(b,b,product(c,a)),bigC(a,b,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(a,b,b)),product(c,bigC(b,b,c))) )],[refute_0_10477,refute_0_10483]) ).

cnf(refute_0_10485,plain,
    ( difference(bigC(b,b,product(c,a)),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | difference(bigC(b,b,product(c,a)),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | product(c,bigC(b,b,c)) = product(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,b,product(c,a)),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) ),[0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_10486,plain,
    ( difference(bigC(b,b,product(c,a)),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | product(c,bigC(b,b,c)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,product(c,a)),bigC(a,b,b)),product(c,bigC(b,b,c))) )],[refute_0_10484,refute_0_10485]) ).

cnf(refute_0_10487,plain,
    product(c,bigC(b,b,c)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,product(c,a)),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_10233,refute_0_10486]) ).

cnf(refute_0_10488,plain,
    ( product(c,bigC(b,b,c)) != product(bigC(a,b,b),product(c,b))
    | product(bigC(a,b,b),product(c,b)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(b,b,c)))),bind(Y,$fot(product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_10489,plain,
    product(bigC(a,b,b),product(c,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,c)),product(bigC(a,b,b),product(c,b))) )],[refute_0_10487,refute_0_10488]) ).

cnf(refute_0_10490,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | product(product(product(bigC(a,b,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(c,b)
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,b,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(c,b)) ),[0,0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_10491,plain,
    ( product(product(product(bigC(a,b,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(c,b)
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_10490]) ).

cnf(refute_0_10492,plain,
    product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,b,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(c,b)) )],[refute_0_9147,refute_0_10491]) ).

cnf(refute_0_10493,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | product(c,product(c,product(c,b))) != bigC(c,c,product(a,b))
    | product(c,product(c,product(c,b))) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,product(c,b))))),bind(Y,$fot(bigC(c,c,product(a,b)))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_10494,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | product(c,product(c,product(c,b))) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(c,c,product(a,b))) )],[refute_0_7572,refute_0_10493]) ).

cnf(refute_0_10495,plain,
    product(c,product(c,product(c,b))) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_5916,refute_0_10494]) ).

cnf(refute_0_10496,plain,
    product(product(c,c),product(c,product(c,b))) = product(c,product(c,product(c,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_10497,plain,
    ( product(c,product(c,product(c,b))) != bigC(a,b,product(a,b))
    | product(product(c,c),product(c,product(c,b))) != product(c,product(c,product(c,b)))
    | product(product(c,c),product(c,product(c,b))) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(c,product(c,b))))),bind(Y,$fot(product(c,product(c,product(c,b))))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_10498,plain,
    ( product(c,product(c,product(c,b))) != bigC(a,b,product(a,b))
    | product(product(c,c),product(c,product(c,b))) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(c,product(c,b))),product(c,product(c,product(c,b)))) )],[refute_0_10496,refute_0_10497]) ).

cnf(refute_0_10499,plain,
    product(product(c,c),product(c,product(c,b))) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(a,b,product(a,b))) )],[refute_0_10495,refute_0_10498]) ).

cnf(refute_0_10500,plain,
    product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))))]]) ).

cnf(refute_0_10501,plain,
    ( product(product(c,c),product(c,product(c,b))) != bigC(a,b,product(a,b))
    | product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_10502,plain,
    ( product(product(c,c),product(c,product(c,b))) != bigC(a,b,product(a,b))
    | product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) )],[refute_0_10500,refute_0_10501]) ).

cnf(refute_0_10503,plain,
    product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(c,product(c,b))),bigC(a,b,product(a,b))) )],[refute_0_10499,refute_0_10502]) ).

cnf(refute_0_10504,plain,
    product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),
    inference(subst,[],[refute_0_1229:[bind(A,$fot(product(c,c))),bind(C,$fot(product(bigC(b,b,c),b))),bind(X_63,$fot(c)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(b)),bind(X_66,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_10505,plain,
    product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(c,b),product(product(c,b),bigC(a,b,b))))),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(bigC(b,b,c))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10506,plain,
    ( product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b))))
    | product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))))),bind(Y,$fot(product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))))),bind(Z,$fot(product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))))]]) ).

cnf(refute_0_10507,plain,
    ( product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b))))) )],[refute_0_10505,refute_0_10506]) ).

cnf(refute_0_10508,plain,
    product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,c),product(bigC(b,b,c),b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) )],[refute_0_10504,refute_0_10507]) ).

cnf(refute_0_10509,plain,
    ( product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))))),bind(Y,$fot(product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))))),bind(Z,$fot(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))))]]) ).

cnf(refute_0_10510,plain,
    ( product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) )],[refute_0_10508,refute_0_10509]) ).

cnf(refute_0_10511,plain,
    product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,c),product(c,product(c,b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) )],[refute_0_10503,refute_0_10510]) ).

cnf(refute_0_10512,plain,
    ( product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(c,b)
    | product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(c,b)) ),[0],$fot(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))))]]) ).

cnf(refute_0_10513,plain,
    ( product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))) != product(c,b)
    | product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) )],[refute_0_10511,refute_0_10512]) ).

cnf(refute_0_10514,plain,
    product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),product(product(c,b),bigC(a,b,b)))),product(c,b)) )],[refute_0_10492,refute_0_10513]) ).

cnf(refute_0_10515,plain,
    difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(bigC(b,b,c),b))),bind(X_27,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10516,plain,
    quotient(bigC(b,bigC(a,b,b),bigC(b,b,c)),product(bigC(b,b,c),b)) = product(b,bigC(a,b,b)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(b)),bind(X_22,$fot(bigC(a,b,b))),bind(X_23,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10517,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(b,bigC(b,b,c))))) = bigC(b,b,c),
    inference(subst,[],[sos07:[bind(A,$fot(quotient(b,bigC(b,b,c)))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10518,plain,
    quotient(bigC(product(c,b),b,b),product(b,product(c,b))) = product(product(c,b),b),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(b)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_10519,plain,
    difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(c,b),product(product(c,b),b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(c,b))),bind(X_20,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_10520,plain,
    quotient(product(c,b),difference(bigC(a,b,b),product(c,b))) = bigC(a,b,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(c,b))),bind(X_6,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_10521,plain,
    ( difference(bigC(a,b,b),product(c,b)) != product(product(c,b),b)
    | quotient(product(c,b),difference(bigC(a,b,b),product(c,b))) != bigC(a,b,b)
    | quotient(product(c,b),product(product(c,b),b)) = bigC(a,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),difference(bigC(a,b,b),product(c,b))),bigC(a,b,b)) ),[0,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10522,plain,
    ( quotient(product(c,b),difference(bigC(a,b,b),product(c,b))) != bigC(a,b,b)
    | quotient(product(c,b),product(product(c,b),b)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(c,b)),product(product(c,b),b)) )],[refute_0_9476,refute_0_10521]) ).

cnf(refute_0_10523,plain,
    quotient(product(c,b),product(product(c,b),b)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(bigC(a,b,b),product(c,b))),bigC(a,b,b)) )],[refute_0_10520,refute_0_10522]) ).

cnf(refute_0_10524,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(c,b),product(product(c,b),b))))
    | quotient(product(c,b),product(product(c,b),b)) != bigC(a,b,b)
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(c,b),product(product(c,b),b))))) ),[1,1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_10525,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(c,b),product(product(c,b),b))))
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),b)),bigC(a,b,b)) )],[refute_0_10523,refute_0_10524]) ).

cnf(refute_0_10526,plain,
    difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),quotient(product(c,b),product(product(c,b),b))))) )],[refute_0_10519,refute_0_10525]) ).

cnf(refute_0_10527,plain,
    bigC(b,b,product(c,b)) = product(bigC(b,b,c),b),
    inference(subst,[],[refute_0_1611:[bind(X_21,$fot(b)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_10528,plain,
    product(b,product(product(c,b),b)) = bigC(b,b,product(c,b)),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(b)),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_10529,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(b,product(product(c,b),b)) != bigC(b,b,product(c,b))
    | product(b,product(product(c,b),b)) = product(bigC(b,b,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(b,product(product(c,b),b)))),bind(Y,$fot(bigC(b,b,product(c,b)))),bind(Z,$fot(product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_10530,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(b,product(product(c,b),b)) = product(bigC(b,b,c),b) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),b)),bigC(b,b,product(c,b))) )],[refute_0_10528,refute_0_10529]) ).

cnf(refute_0_10531,plain,
    product(b,product(product(c,b),b)) = product(bigC(b,b,c),b),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,b)),product(bigC(b,b,c),b)) )],[refute_0_10527,refute_0_10530]) ).

cnf(refute_0_10532,plain,
    difference(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = product(X_23,difference(bigC(a,a,c),product(a,b))),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(difference(bigC(a,a,c),product(a,b)))),bind(X_22,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_10533,plain,
    bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(product(product(product(a,b),b),bigC(c,b,b)),product(product(a,b),b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(product(a,b),b))),bind(X_22,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_10534,plain,
    difference(bigC(a,c,a),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) = product(product(product(a,b),b),bigC(c,b,b)),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,c,a))),bind(B,$fot(product(product(product(a,b),b),bigC(c,b,b))))]]) ).

cnf(refute_0_10535,plain,
    product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) = product(product(a,c),product(c,b)),
    inference(subst,[],[refute_0_2405:[bind(A,$fot(product(a,c))),bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_10536,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(a,c),product(c,b))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(a,c),product(c,b))) ),[0,1,2],$fot(product(a,b))]]) ).

cnf(refute_0_10537,plain,
    ( product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))) != product(product(a,c),product(c,b))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_10536]) ).

cnf(refute_0_10538,plain,
    product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(product(a,c),product(c,b)))),product(product(a,c),product(c,b))) )],[refute_0_10535,refute_0_10537]) ).

cnf(refute_0_10539,plain,
    product(product(product(a,b),b),product(product(c,b),product(b,c))) = product(product(product(a,b),b),product(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),b),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_10540,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(product(a,b),b),product(product(c,b),product(b,c))) != product(product(product(a,b),b),product(product(c,b),product(b,c)))
    | product(product(product(a,b),b),product(product(c,b),product(b,c))) = product(product(product(a,b),b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),b),product(product(c,b),product(b,c))),product(product(product(a,b),b),product(product(c,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_10541,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(product(a,b),b),product(product(c,b),product(b,c))) = product(product(product(a,b),b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),product(product(c,b),product(b,c))),product(product(product(a,b),b),product(product(c,b),product(b,c)))) )],[refute_0_10539,refute_0_10540]) ).

cnf(refute_0_10542,plain,
    product(product(product(a,b),b),product(product(c,b),product(b,c))) = product(product(product(a,b),b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_10541]) ).

cnf(refute_0_10543,plain,
    product(product(product(a,b),product(c,b)),product(b,product(b,c))) = product(product(product(a,b),b),product(product(c,b),product(b,c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(b)),bind(C,$fot(product(c,b))),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_10544,plain,
    ( product(product(product(a,b),b),product(product(c,b),product(b,c))) != product(product(product(a,b),b),bigC(c,b,b))
    | product(product(product(a,b),product(c,b)),product(b,product(b,c))) != product(product(product(a,b),b),product(product(c,b),product(b,c)))
    | product(product(product(a,b),product(c,b)),product(b,product(b,c))) = product(product(product(a,b),b),bigC(c,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),product(b,product(b,c))))),bind(Y,$fot(product(product(product(a,b),b),product(product(c,b),product(b,c))))),bind(Z,$fot(product(product(product(a,b),b),bigC(c,b,b))))]]) ).

cnf(refute_0_10545,plain,
    ( product(product(product(a,b),b),product(product(c,b),product(b,c))) != product(product(product(a,b),b),bigC(c,b,b))
    | product(product(product(a,b),product(c,b)),product(b,product(b,c))) = product(product(product(a,b),b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(b,product(b,c))),product(product(product(a,b),b),product(product(c,b),product(b,c)))) )],[refute_0_10543,refute_0_10544]) ).

cnf(refute_0_10546,plain,
    product(product(product(a,b),product(c,b)),product(b,product(b,c))) = product(product(product(a,b),b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),product(product(c,b),product(b,c))),product(product(product(a,b),b),bigC(c,b,b))) )],[refute_0_10542,refute_0_10545]) ).

cnf(refute_0_10547,plain,
    product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))))]]) ).

cnf(refute_0_10548,plain,
    ( product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))
    | product(product(product(a,b),product(c,b)),product(b,product(b,c))) != product(product(product(a,b),b),bigC(c,b,b))
    | product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))) ),[1,1],$fot(product(product(product(a,b),b),bigC(c,b,b)))]]) ).

cnf(refute_0_10549,plain,
    ( product(product(product(a,b),product(c,b)),product(b,product(b,c))) != product(product(product(a,b),b),bigC(c,b,b))
    | product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))) )],[refute_0_10547,refute_0_10548]) ).

cnf(refute_0_10550,plain,
    product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(b,product(b,c))),product(product(product(a,b),b),bigC(c,b,b))) )],[refute_0_10546,refute_0_10549]) ).

cnf(refute_0_10551,plain,
    product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))))]]) ).

cnf(refute_0_10552,plain,
    ( product(product(a,c),a) != bigC(a,c,a)
    | product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))
    | product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))) ),[1,0],$fot(bigC(a,c,a))]]) ).

cnf(refute_0_10553,plain,
    ( product(product(a,c),a) != bigC(a,c,a)
    | product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))) )],[refute_0_10551,refute_0_10552]) ).

cnf(refute_0_10554,plain,
    product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,c,a)) )],[refute_0_377,refute_0_10553]) ).

cnf(refute_0_10555,plain,
    ( product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))
    | product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))))),bind(Y,$fot(product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))))]]) ).

cnf(refute_0_10556,plain,
    ( product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))) )],[refute_0_10554,refute_0_10555]) ).

cnf(refute_0_10557,plain,
    product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) )],[refute_0_10550,refute_0_10556]) ).

cnf(refute_0_10558,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) = product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,c))),bind(B,$fot(a)),bind(C,$fot(product(product(a,b),product(c,b)))),bind(D,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_10559,plain,
    ( product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) != product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))
    | product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))))),bind(Y,$fot(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))))]]) ).

cnf(refute_0_10560,plain,
    ( product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))),product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c))))) )],[refute_0_10558,refute_0_10559]) ).

cnf(refute_0_10561,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(product(product(a,b),product(c,b)),product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) )],[refute_0_10557,refute_0_10560]) ).

cnf(refute_0_10562,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))))]]) ).

cnf(refute_0_10563,plain,
    ( bigC(product(a,c),product(c,b),product(a,b)) != product(a,product(b,product(b,c)))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))) ),[1,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_10564,plain,
    ( bigC(product(a,c),product(c,b),product(a,b)) != product(a,product(b,product(b,c)))
    | product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))) )],[refute_0_10562,refute_0_10563]) ).

cnf(refute_0_10565,plain,
    product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,b)),product(a,product(b,product(b,c)))) )],[refute_0_8018,refute_0_10564]) ).

cnf(refute_0_10566,plain,
    ( product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | product(product(product(a,c),product(c,b)),product(c,b)) != product(product(product(a,c),c),product(product(c,b),b))
    | product(product(product(a,c),product(c,b)),product(c,b)) = product(product(a,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(c,b)),product(c,b)))),bind(Y,$fot(product(product(product(a,c),c),product(product(c,b),b)))),bind(Z,$fot(product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_10567,plain,
    ( product(product(product(a,c),c),product(product(c,b),b)) != product(product(a,b),product(c,b))
    | product(product(product(a,c),product(c,b)),product(c,b)) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(c,b)),product(product(product(a,c),c),product(product(c,b),b))) )],[refute_0_7302,refute_0_10566]) ).

cnf(refute_0_10568,plain,
    product(product(product(a,c),product(c,b)),product(c,b)) = product(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(c,b),b)),product(product(a,b),product(c,b))) )],[refute_0_7308,refute_0_10567]) ).

cnf(refute_0_10569,plain,
    product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_10570,plain,
    ( product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) != product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b)))
    | product(product(product(a,c),product(c,b)),product(c,b)) != product(product(a,b),product(c,b))
    | product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b)))) ),[1,1],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_10571,plain,
    ( product(product(product(a,c),product(c,b)),product(c,b)) != product(product(a,b),product(c,b))
    | product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b)))) )],[refute_0_10569,refute_0_10570]) ).

cnf(refute_0_10572,plain,
    product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) = product(product(a,c),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(c,b)),product(c,b)),product(product(a,b),product(c,b))) )],[refute_0_10568,refute_0_10571]) ).

cnf(refute_0_10573,plain,
    product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))))]]) ).

cnf(refute_0_10574,plain,
    ( product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) != product(product(a,c),product(product(a,b),product(c,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))) ),[1,0],$fot(product(product(a,c),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_10575,plain,
    ( product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))) != product(product(a,c),product(product(a,b),product(c,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))) )],[refute_0_10573,refute_0_10574]) ).

cnf(refute_0_10576,plain,
    product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),product(product(a,c),product(product(a,b),product(c,b)))) )],[refute_0_10572,refute_0_10575]) ).

cnf(refute_0_10577,plain,
    ( product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c))))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))))),bind(Y,$fot(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))))),bind(Z,$fot(product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c))))))]]) ).

cnf(refute_0_10578,plain,
    ( product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c))))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b)))) )],[refute_0_10576,refute_0_10577]) ).

cnf(refute_0_10579,plain,
    product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c))))) )],[refute_0_10565,refute_0_10578]) ).

cnf(refute_0_10580,plain,
    ( product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c))))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))))),bind(Y,$fot(product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))))]]) ).

cnf(refute_0_10581,plain,
    ( product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c))))) )],[refute_0_10579,refute_0_10580]) ).

cnf(refute_0_10582,plain,
    product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) = product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,b),product(c,b))),product(a,product(b,product(b,c)))),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) )],[refute_0_10561,refute_0_10581]) ).

cnf(refute_0_10583,plain,
    ( product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))
    | product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(a,c),product(c,b))
    | product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(a,c),product(c,b))) ),[0],$fot(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))))]]) ).

cnf(refute_0_10584,plain,
    ( product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(a,c),product(c,b))
    | product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) )],[refute_0_10582,refute_0_10583]) ).

cnf(refute_0_10585,plain,
    ( product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) != product(product(a,c),product(c,b))
    | product(product(a,c),product(c,b)) != product(a,b)
    | product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),product(a,b)) ),[0],$fot(product(product(a,c),product(c,b)))]]) ).

cnf(refute_0_10586,plain,
    ( product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) != product(product(a,c),product(c,b))
    | product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_10585]) ).

cnf(refute_0_10587,plain,
    ( product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))) != product(product(a,c),product(c,b))
    | product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),product(product(a,c),product(c,b))) )],[refute_0_10584,refute_0_10586]) ).

cnf(refute_0_10588,plain,
    product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(product(a,c),product(c,b)),product(c,b))),bigC(product(a,c),product(c,b),product(a,b))),product(product(a,c),product(c,b))) )],[refute_0_10538,refute_0_10587]) ).

cnf(refute_0_10589,plain,
    ( difference(bigC(a,c,a),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) != product(product(product(a,b),b),bigC(c,b,b))
    | product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))) != product(a,b)
    | difference(bigC(a,c,a),product(a,b)) = product(product(product(a,b),b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,c,a),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))),product(product(product(a,b),b),bigC(c,b,b))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_10590,plain,
    ( difference(bigC(a,c,a),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))) != product(product(product(a,b),b),bigC(c,b,b))
    | difference(bigC(a,c,a),product(a,b)) = product(product(product(a,b),b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b))),product(a,b)) )],[refute_0_10588,refute_0_10589]) ).

cnf(refute_0_10591,plain,
    difference(bigC(a,c,a),product(a,b)) = product(product(product(a,b),b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,a),product(bigC(a,c,a),product(product(product(a,b),b),bigC(c,b,b)))),product(product(product(a,b),b),bigC(c,b,b))) )],[refute_0_10534,refute_0_10590]) ).

cnf(refute_0_10592,plain,
    difference(bigC(a,c,a),product(a,b)) = difference(bigC(a,c,a),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(a,c,a),product(a,b)))]]) ).

cnf(refute_0_10593,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | difference(bigC(a,c,a),product(a,b)) != difference(bigC(a,c,a),product(a,b))
    | difference(bigC(a,c,a),product(a,b)) = difference(bigC(a,a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,c,a),product(a,b)),difference(bigC(a,c,a),product(a,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_10594,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | difference(bigC(a,c,a),product(a,b)) = difference(bigC(a,a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,a),product(a,b)),difference(bigC(a,c,a),product(a,b))) )],[refute_0_10592,refute_0_10593]) ).

cnf(refute_0_10595,plain,
    difference(bigC(a,c,a),product(a,b)) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_10594]) ).

cnf(refute_0_10596,plain,
    ( difference(bigC(a,c,a),product(a,b)) != difference(bigC(a,a,c),product(a,b))
    | difference(bigC(a,c,a),product(a,b)) != product(product(product(a,b),b),bigC(c,b,b))
    | difference(bigC(a,a,c),product(a,b)) = product(product(product(a,b),b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,c,a),product(a,b)),product(product(product(a,b),b),bigC(c,b,b))) ),[0],$fot(difference(bigC(a,a,c),product(a,b)))]]) ).

cnf(refute_0_10597,plain,
    ( difference(bigC(a,c,a),product(a,b)) != product(product(product(a,b),b),bigC(c,b,b))
    | difference(bigC(a,a,c),product(a,b)) = product(product(product(a,b),b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,a),product(a,b)),difference(bigC(a,a,c),product(a,b))) )],[refute_0_10595,refute_0_10596]) ).

cnf(refute_0_10598,plain,
    difference(bigC(a,a,c),product(a,b)) = product(product(product(a,b),b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,c,a),product(a,b)),product(product(product(a,b),b),bigC(c,b,b))) )],[refute_0_10591,refute_0_10597]) ).

cnf(refute_0_10599,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(product(a,b),b),bigC(c,b,b))
    | product(product(product(a,b),b),bigC(c,b,b)) = difference(bigC(a,a,c),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(bigC(a,a,c),product(a,b)))),bind(Y,$fot(product(product(product(a,b),b),bigC(c,b,b))))]]) ).

cnf(refute_0_10600,plain,
    product(product(product(a,b),b),bigC(c,b,b)) = difference(bigC(a,a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(product(a,b),b),bigC(c,b,b))) )],[refute_0_10598,refute_0_10599]) ).

cnf(refute_0_10601,plain,
    ( bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) != product(product(product(product(a,b),b),bigC(c,b,b)),product(product(a,b),b))
    | product(product(product(a,b),b),bigC(c,b,b)) != difference(bigC(a,a,c),product(a,b))
    | bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)),product(product(product(product(a,b),b),bigC(c,b,b)),product(product(a,b),b))) ),[1,0],$fot(difference(bigC(a,a,c),product(a,b)))]]) ).

cnf(refute_0_10602,plain,
    ( bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) != product(product(product(product(a,b),b),bigC(c,b,b)),product(product(a,b),b))
    | bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),bigC(c,b,b)),difference(bigC(a,a,c),product(a,b))) )],[refute_0_10600,refute_0_10601]) ).

cnf(refute_0_10603,plain,
    bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)),product(product(product(product(a,b),b),bigC(c,b,b)),product(product(a,b),b))) )],[refute_0_10533,refute_0_10602]) ).

cnf(refute_0_10604,plain,
    product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(a,a,b))),bind(X_64,$fot(bigC(c,b,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10605,plain,
    product(bigC(a,a,b),product(b,b)) = product(bigC(a,a,b),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(b,b)))]]) ).

cnf(refute_0_10606,plain,
    ( product(b,b) != b
    | product(bigC(a,a,b),product(b,b)) != product(bigC(a,a,b),product(b,b))
    | product(bigC(a,a,b),product(b,b)) = product(bigC(a,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(b,b)),product(bigC(a,a,b),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_10607,plain,
    ( product(b,b) != b
    | product(bigC(a,a,b),product(b,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,b)),product(bigC(a,a,b),product(b,b))) )],[refute_0_10605,refute_0_10606]) ).

cnf(refute_0_10608,plain,
    product(bigC(a,a,b),product(b,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_10607]) ).

cnf(refute_0_10609,plain,
    product(bigC(a,b,a),product(b,b)) = product(bigC(a,b,a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(b,b)))]]) ).

cnf(refute_0_10610,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(b,b)) != product(bigC(a,b,a),product(b,b))
    | product(bigC(a,b,a),product(b,b)) = product(bigC(a,a,b),product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(b,b)),product(bigC(a,b,a),product(b,b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_10611,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(b,b)) = product(bigC(a,a,b),product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(b,b)),product(bigC(a,b,a),product(b,b))) )],[refute_0_10609,refute_0_10610]) ).

cnf(refute_0_10612,plain,
    product(bigC(a,b,a),product(b,b)) = product(bigC(a,a,b),product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_10611]) ).

cnf(refute_0_10613,plain,
    ( product(bigC(a,a,b),product(b,b)) != product(bigC(a,a,b),b)
    | product(bigC(a,b,a),product(b,b)) != product(bigC(a,a,b),product(b,b))
    | product(bigC(a,b,a),product(b,b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,a),product(b,b)))),bind(Y,$fot(product(bigC(a,a,b),product(b,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_10614,plain,
    ( product(bigC(a,a,b),product(b,b)) != product(bigC(a,a,b),b)
    | product(bigC(a,b,a),product(b,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(b,b)),product(bigC(a,a,b),product(b,b))) )],[refute_0_10612,refute_0_10613]) ).

cnf(refute_0_10615,plain,
    product(bigC(a,b,a),product(b,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,b)),product(bigC(a,a,b),b)) )],[refute_0_10608,refute_0_10614]) ).

cnf(refute_0_10616,plain,
    bigC(product(a,b),b,product(a,b)) = product(bigC(a,b,a),product(b,b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_10617,plain,
    ( bigC(product(a,b),b,product(a,b)) != product(bigC(a,b,a),product(b,b))
    | product(bigC(a,b,a),product(b,b)) != product(bigC(a,a,b),b)
    | bigC(product(a,b),b,product(a,b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),b,product(a,b)))),bind(Y,$fot(product(bigC(a,b,a),product(b,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_10618,plain,
    ( product(bigC(a,b,a),product(b,b)) != product(bigC(a,a,b),b)
    | bigC(product(a,b),b,product(a,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),b,product(a,b)),product(bigC(a,b,a),product(b,b))) )],[refute_0_10616,refute_0_10617]) ).

cnf(refute_0_10619,plain,
    bigC(product(a,b),b,product(a,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(b,b)),product(bigC(a,a,b),b)) )],[refute_0_10615,refute_0_10618]) ).

cnf(refute_0_10620,plain,
    product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)))]]) ).

cnf(refute_0_10621,plain,
    ( bigC(product(a,b),b,product(a,b)) != product(bigC(a,a,b),b)
    | product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) != product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b))
    | product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)),product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_10622,plain,
    ( bigC(product(a,b),b,product(a,b)) != product(bigC(a,a,b),b)
    | product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)),product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b))) )],[refute_0_10620,refute_0_10621]) ).

cnf(refute_0_10623,plain,
    product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),b,product(a,b)),product(bigC(a,a,b),b)) )],[refute_0_10619,refute_0_10622]) ).

cnf(refute_0_10624,plain,
    ( product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) != product(product(bigC(a,a,b),b),product(bigC(c,b,b),b))
    | product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)))),bind(Y,$fot(product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)))),bind(Z,$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b)))]]) ).

cnf(refute_0_10625,plain,
    ( product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)),product(product(bigC(a,a,b),b),product(bigC(c,b,b),b))) )],[refute_0_10623,refute_0_10624]) ).

cnf(refute_0_10626,plain,
    product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),b),product(bigC(c,b,b),b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) )],[refute_0_10604,refute_0_10625]) ).

cnf(refute_0_10627,plain,
    bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(product(a,b))),bind(C,$fot(bigC(c,b,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_10628,plain,
    ( bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) != product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b))
    | product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)))),bind(Y,$fot(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)))),bind(Z,$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b)))]]) ).

cnf(refute_0_10629,plain,
    ( product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)),product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b))) )],[refute_0_10627,refute_0_10628]) ).

cnf(refute_0_10630,plain,
    bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),b,product(a,b)),product(bigC(c,b,b),b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) )],[refute_0_10626,refute_0_10629]) ).

cnf(refute_0_10631,plain,
    ( bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) != product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))
    | bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) ),[0],$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b))]]) ).

cnf(refute_0_10632,plain,
    ( bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)) != product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) )],[refute_0_10630,refute_0_10631]) ).

cnf(refute_0_10633,plain,
    product(product(bigC(a,a,b),bigC(c,b,b)),b) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,b),b),bigC(c,b,b),product(product(a,b),b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) )],[refute_0_10603,refute_0_10632]) ).

cnf(refute_0_10634,plain,
    ( product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b))),bind(Y,$fot(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))))]]) ).

cnf(refute_0_10635,plain,
    product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(bigC(a,a,b),bigC(c,b,b)),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) )],[refute_0_10633,refute_0_10634]) ).

cnf(refute_0_10636,plain,
    ( difference(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = product(X_23,difference(bigC(a,a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),product(X_23,difference(bigC(a,a,c),product(a,b)))) ),[0,0],$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b))]]) ).

cnf(refute_0_10637,plain,
    ( difference(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = product(X_23,difference(bigC(a,a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) )],[refute_0_10635,refute_0_10636]) ).

cnf(refute_0_10638,plain,
    difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = product(X_23,difference(bigC(a,a,c),product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),product(X_23,difference(bigC(a,a,c),product(a,b)))) )],[refute_0_10532,refute_0_10637]) ).

cnf(refute_0_10639,plain,
    product(product(product(a,b),b),difference(product(product(a,b),b),product(product(c,b),b))) = product(product(c,b),b),
    inference(subst,[],[sos02:[bind(A,$fot(product(product(a,b),b))),bind(B,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_10640,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(product(product(a,b),b),difference(product(product(a,b),b),product(product(c,b),b))) != product(product(c,b),b)
    | product(product(product(a,b),b),bigC(c,b,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),b),difference(product(product(a,b),b),product(product(c,b),b))),product(product(c,b),b)) ),[0,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_10641,plain,
    ( product(product(product(a,b),b),difference(product(product(a,b),b),product(product(c,b),b))) != product(product(c,b),b)
    | product(product(product(a,b),b),bigC(c,b,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),bigC(c,b,b)) )],[refute_0_9385,refute_0_10640]) ).

cnf(refute_0_10642,plain,
    product(product(product(a,b),b),bigC(c,b,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),difference(product(product(a,b),b),product(product(c,b),b))),product(product(c,b),b)) )],[refute_0_10639,refute_0_10641]) ).

cnf(refute_0_10643,plain,
    ( product(product(product(a,b),b),bigC(c,b,b)) != difference(bigC(a,a,c),product(a,b))
    | product(product(product(a,b),b),bigC(c,b,b)) != product(product(c,b),b)
    | difference(bigC(a,a,c),product(a,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),b),bigC(c,b,b)),product(product(c,b),b)) ),[0],$fot(difference(bigC(a,a,c),product(a,b)))]]) ).

cnf(refute_0_10644,plain,
    ( product(product(product(a,b),b),bigC(c,b,b)) != product(product(c,b),b)
    | difference(bigC(a,a,c),product(a,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),bigC(c,b,b)),difference(bigC(a,a,c),product(a,b))) )],[refute_0_10600,refute_0_10643]) ).

cnf(refute_0_10645,plain,
    difference(bigC(a,a,c),product(a,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),bigC(c,b,b)),product(product(c,b),b)) )],[refute_0_10642,refute_0_10644]) ).

cnf(refute_0_10646,plain,
    bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) = bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23),
    introduced(tautology,[refl,[$fot(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))]]) ).

cnf(refute_0_10647,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) != bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)
    | difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) = bigC(product(product(c,b),b),product(product(a,b),b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) ),[1,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10648,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) = bigC(product(product(c,b),b),product(product(a,b),b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) )],[refute_0_10646,refute_0_10647]) ).

cnf(refute_0_10649,plain,
    bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) = bigC(product(product(c,b),b),product(product(a,b),b),X_23),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_10645,refute_0_10648]) ).

cnf(refute_0_10650,plain,
    difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)))]]) ).

cnf(refute_0_10651,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) != bigC(product(product(c,b),b),product(product(a,b),b),X_23)
    | difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))
    | difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))) ),[1,1],$fot(bigC(product(product(c,b),b),product(product(a,b),b),X_23))]]) ).

cnf(refute_0_10652,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23) != bigC(product(product(c,b),b),product(product(a,b),b),X_23)
    | difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))) )],[refute_0_10650,refute_0_10651]) ).

cnf(refute_0_10653,plain,
    difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) )],[refute_0_10649,refute_0_10652]) ).

cnf(refute_0_10654,plain,
    product(product(c,a),product(b,b)) = product(product(c,a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(b,b)))]]) ).

cnf(refute_0_10655,plain,
    ( product(b,b) != b
    | product(product(c,a),product(b,b)) != product(product(c,a),product(b,b))
    | product(product(c,a),product(b,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(b,b)),product(product(c,a),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_10656,plain,
    ( product(b,b) != b
    | product(product(c,a),product(b,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,b)),product(product(c,a),product(b,b))) )],[refute_0_10654,refute_0_10655]) ).

cnf(refute_0_10657,plain,
    product(product(c,a),product(b,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_10656]) ).

cnf(refute_0_10658,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(c,a),product(b,b)) != product(product(c,a),b)
    | product(product(c,a),product(b,b)) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(b,b)))),bind(Y,$fot(product(product(c,a),b))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_10659,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(c,a),product(b,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,b)),product(product(c,a),b)) )],[refute_0_10657,refute_0_10658]) ).

cnf(refute_0_10660,plain,
    product(product(c,a),product(b,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_10659]) ).

cnf(refute_0_10661,plain,
    product(product(product(c,a),product(b,b)),b) = product(product(product(c,a),product(b,b)),b),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),product(b,b)),b))]]) ).

cnf(refute_0_10662,plain,
    ( product(product(c,a),product(b,b)) != product(c,product(c,b))
    | product(product(product(c,a),product(b,b)),b) != product(product(product(c,a),product(b,b)),b)
    | product(product(product(c,a),product(b,b)),b) = product(product(c,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),product(b,b)),b),product(product(product(c,a),product(b,b)),b)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_10663,plain,
    ( product(product(c,a),product(b,b)) != product(c,product(c,b))
    | product(product(product(c,a),product(b,b)),b) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(b,b)),b),product(product(product(c,a),product(b,b)),b)) )],[refute_0_10661,refute_0_10662]) ).

cnf(refute_0_10664,plain,
    product(product(product(c,a),product(b,b)),b) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,b)),product(c,product(c,b))) )],[refute_0_10660,refute_0_10663]) ).

cnf(refute_0_10665,plain,
    product(product(product(c,b),product(a,b)),b) = product(product(product(c,a),product(b,b)),b),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(b)),bind(X_63,$fot(c)),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10666,plain,
    ( product(product(product(c,a),product(b,b)),b) != product(product(c,product(c,b)),b)
    | product(product(product(c,b),product(a,b)),b) != product(product(product(c,a),product(b,b)),b)
    | product(product(product(c,b),product(a,b)),b) = product(product(c,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),product(a,b)),b))),bind(Y,$fot(product(product(product(c,a),product(b,b)),b))),bind(Z,$fot(product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_10667,plain,
    ( product(product(product(c,a),product(b,b)),b) != product(product(c,product(c,b)),b)
    | product(product(product(c,b),product(a,b)),b) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,b)),b),product(product(product(c,a),product(b,b)),b)) )],[refute_0_10665,refute_0_10666]) ).

cnf(refute_0_10668,plain,
    product(product(product(c,b),product(a,b)),b) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),product(b,b)),b),product(product(c,product(c,b)),b)) )],[refute_0_10664,refute_0_10667]) ).

cnf(refute_0_10669,plain,
    product(product(product(c,b),b),product(product(a,b),b)) = product(product(product(c,b),product(a,b)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(c,b))),bind(X_64,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10670,plain,
    ( product(product(product(c,b),b),product(product(a,b),b)) != product(product(product(c,b),product(a,b)),b)
    | product(product(product(c,b),product(a,b)),b) != product(product(c,product(c,b)),b)
    | product(product(product(c,b),b),product(product(a,b),b)) = product(product(c,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(product(a,b),b)))),bind(Y,$fot(product(product(product(c,b),product(a,b)),b))),bind(Z,$fot(product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_10671,plain,
    ( product(product(product(c,b),product(a,b)),b) != product(product(c,product(c,b)),b)
    | product(product(product(c,b),b),product(product(a,b),b)) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,b),b)),product(product(product(c,b),product(a,b)),b)) )],[refute_0_10669,refute_0_10670]) ).

cnf(refute_0_10672,plain,
    product(product(product(c,b),b),product(product(a,b),b)) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,b)),b),product(product(c,product(c,b)),b)) )],[refute_0_10668,refute_0_10671]) ).

cnf(refute_0_10673,plain,
    product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)))]]) ).

cnf(refute_0_10674,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) != product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(product(c,b),b),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) ),[1,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10675,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(product(c,b),b),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) )],[refute_0_10673,refute_0_10674]) ).

cnf(refute_0_10676,plain,
    product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(product(c,b),b),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_10645,refute_0_10675]) ).

cnf(refute_0_10677,plain,
    ( product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) != product(product(product(c,b),b),product(product(a,b),b))
    | product(product(product(c,b),b),product(product(a,b),b)) != product(product(c,product(c,b)),b)
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(c,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)))),bind(Y,$fot(product(product(product(c,b),b),product(product(a,b),b)))),bind(Z,$fot(product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_10678,plain,
    ( product(product(product(c,b),b),product(product(a,b),b)) != product(product(c,product(c,b)),b)
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(product(product(c,b),b),product(product(a,b),b))) )],[refute_0_10676,refute_0_10677]) ).

cnf(refute_0_10679,plain,
    product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,b),b)),product(product(c,product(c,b)),b)) )],[refute_0_10672,refute_0_10678]) ).

cnf(refute_0_10680,plain,
    ( product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) != product(product(c,product(c,b)),b)
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) = product(product(c,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) ),[1],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_10681,plain,
    ( product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(product(c,product(c,b)),b)) )],[refute_0_10679,refute_0_10680]) ).

cnf(refute_0_10682,plain,
    product(product(bigC(a,a,b),bigC(c,b,b)),b) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) )],[refute_0_10633,refute_0_10681]) ).

cnf(refute_0_10683,plain,
    difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),
    introduced(tautology,[refl,[$fot(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)))]]) ).

cnf(refute_0_10684,plain,
    ( difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(product(c,product(c,b)),b)
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))) ),[1,0],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_10685,plain,
    ( product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(product(c,product(c,b)),b)
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))) )],[refute_0_10683,refute_0_10684]) ).

cnf(refute_0_10686,plain,
    difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(product(c,product(c,b)),b)) )],[refute_0_10682,refute_0_10685]) ).

cnf(refute_0_10687,plain,
    ( difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))
    | difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)))),bind(Y,$fot(difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)))),bind(Z,$fot(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))))]]) ).

cnf(refute_0_10688,plain,
    ( difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23))) )],[refute_0_10686,refute_0_10687]) ).

cnf(refute_0_10689,plain,
    difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))) )],[refute_0_10653,refute_0_10688]) ).

cnf(refute_0_10690,plain,
    ( difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))
    | difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = product(X_23,difference(bigC(a,a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),product(X_23,difference(bigC(a,a,c),product(a,b)))) ),[0],$fot(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)))]]) ).

cnf(refute_0_10691,plain,
    ( difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = product(X_23,difference(bigC(a,a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))) )],[refute_0_10689,refute_0_10690]) ).

cnf(refute_0_10692,plain,
    product(X_23,difference(bigC(a,a,c),product(a,b))) = product(X_23,difference(bigC(a,a,c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(X_23,difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_10693,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | product(X_23,difference(bigC(a,a,c),product(a,b))) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | product(X_23,difference(bigC(a,a,c),product(a,b))) = product(X_23,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,difference(bigC(a,a,c),product(a,b))),product(X_23,difference(bigC(a,a,c),product(a,b)))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10694,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | product(X_23,difference(bigC(a,a,c),product(a,b))) = product(X_23,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(X_23,difference(bigC(a,a,c),product(a,b))),product(X_23,difference(bigC(a,a,c),product(a,b)))) )],[refute_0_10692,refute_0_10693]) ).

cnf(refute_0_10695,plain,
    product(X_23,difference(bigC(a,a,c),product(a,b))) = product(X_23,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_10645,refute_0_10694]) ).

cnf(refute_0_10696,plain,
    ( difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | product(X_23,difference(bigC(a,a,c),product(a,b))) != product(X_23,product(product(c,b),b))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = product(X_23,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),product(X_23,product(product(c,b),b))) ),[0],$fot(product(X_23,difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_10697,plain,
    ( difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = product(X_23,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(X_23,difference(bigC(a,a,c),product(a,b))),product(X_23,product(product(c,b),b))) )],[refute_0_10695,refute_0_10696]) ).

cnf(refute_0_10698,plain,
    ( difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)) != product(X_23,difference(bigC(a,a,c),product(a,b)))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = product(X_23,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),product(X_23,difference(bigC(a,a,c),product(a,b)))) )],[refute_0_10691,refute_0_10697]) ).

cnf(refute_0_10699,plain,
    difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = product(X_23,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,b),bigC(c,b,b)),b),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),X_23)),product(X_23,difference(bigC(a,a,c),product(a,b)))) )],[refute_0_10638,refute_0_10698]) ).

cnf(refute_0_10700,plain,
    bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = product(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(C,difference(bigC(a,a,c),product(a,b)))),
    inference(subst,[],[sos08:[bind(A,$fot(difference(bigC(a,a,c),product(a,b)))),bind(B,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_10701,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != product(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(C,difference(bigC(a,a,c),product(a,b))))
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),product(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(C,difference(bigC(a,a,c),product(a,b))))) ),[1,0],$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b))]]) ).

cnf(refute_0_10702,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != product(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(C,difference(bigC(a,a,c),product(a,b))))
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) )],[refute_0_10635,refute_0_10701]) ).

cnf(refute_0_10703,plain,
    bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),product(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(C,difference(bigC(a,a,c),product(a,b))))) )],[refute_0_10700,refute_0_10702]) ).

cnf(refute_0_10704,plain,
    bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),
    introduced(tautology,[refl,[$fot(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C))]]) ).

cnf(refute_0_10705,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C)
    | difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = bigC(product(product(c,b),b),product(product(a,b),b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C)) ),[1,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10706,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = bigC(product(product(c,b),b),product(product(a,b),b),C) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C)) )],[refute_0_10704,refute_0_10705]) ).

cnf(refute_0_10707,plain,
    bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) = bigC(product(product(c,b),b),product(product(a,b),b),C),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_10645,refute_0_10706]) ).

cnf(refute_0_10708,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != bigC(product(product(c,b),b),product(product(a,b),b),C)
    | bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) ),[0],$fot(bigC(product(product(c,b),b),product(product(a,b),b),C))]]) ).

cnf(refute_0_10709,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),bigC(product(product(c,b),b),product(product(a,b),b),C)) )],[refute_0_10707,refute_0_10708]) ).

cnf(refute_0_10710,plain,
    product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) = product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))))]]) ).

cnf(refute_0_10711,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) != product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b)))
    | product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))),product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b)))) ),[1,1],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_10712,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))),product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b)))) )],[refute_0_10710,refute_0_10711]) ).

cnf(refute_0_10713,plain,
    product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,b)),product(bigC(b,b,c),b)) )],[refute_0_10527,refute_0_10712]) ).

cnf(refute_0_10714,plain,
    product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) = product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(c,product(c,b)))),bind(B,$fot(b)),bind(X_84,$fot(product(c,b)))]]) ).

cnf(refute_0_10715,plain,
    ( product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) != product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b)))
    | product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))))),bind(Y,$fot(product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))))),bind(Z,$fot(product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_10716,plain,
    ( product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))),product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b)))) )],[refute_0_10714,refute_0_10715]) ).

cnf(refute_0_10717,plain,
    product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),bigC(b,b,product(c,b))),product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))) )],[refute_0_10713,refute_0_10716]) ).

cnf(refute_0_10718,plain,
    product(C,difference(bigC(a,a,c),product(a,b))) = product(C,difference(bigC(a,a,c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(C,difference(bigC(a,a,c),product(a,b))))]]) ).

cnf(refute_0_10719,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | product(C,difference(bigC(a,a,c),product(a,b))) != product(C,difference(bigC(a,a,c),product(a,b)))
    | product(C,difference(bigC(a,a,c),product(a,b))) = product(C,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,difference(bigC(a,a,c),product(a,b))),product(C,difference(bigC(a,a,c),product(a,b)))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10720,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | product(C,difference(bigC(a,a,c),product(a,b))) = product(C,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(C,difference(bigC(a,a,c),product(a,b))),product(C,difference(bigC(a,a,c),product(a,b)))) )],[refute_0_10718,refute_0_10719]) ).

cnf(refute_0_10721,plain,
    product(C,difference(bigC(a,a,c),product(a,b))) = product(C,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_10645,refute_0_10720]) ).

cnf(refute_0_10722,plain,
    product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))))]]) ).

cnf(refute_0_10723,plain,
    ( product(C,difference(bigC(a,a,c),product(a,b))) != product(C,product(product(c,b),b))
    | product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) ),[1,1],$fot(product(C,product(product(c,b),b)))]]) ).

cnf(refute_0_10724,plain,
    ( product(C,difference(bigC(a,a,c),product(a,b))) != product(C,product(product(c,b),b))
    | product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) )],[refute_0_10722,refute_0_10723]) ).

cnf(refute_0_10725,plain,
    product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(C,difference(bigC(a,a,c),product(a,b))),product(C,product(product(c,b),b))) )],[refute_0_10721,refute_0_10724]) ).

cnf(refute_0_10726,plain,
    product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))))]]) ).

cnf(refute_0_10727,plain,
    ( product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(product(c,product(c,b)),b)
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) ),[1,0],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_10728,plain,
    ( product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(product(c,product(c,b)),b)
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) )],[refute_0_10726,refute_0_10727]) ).

cnf(refute_0_10729,plain,
    product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(product(c,product(c,b)),b)) )],[refute_0_10682,refute_0_10728]) ).

cnf(refute_0_10730,plain,
    ( product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b)))
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))))),bind(Y,$fot(product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))))),bind(Z,$fot(product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b)))))]]) ).

cnf(refute_0_10731,plain,
    ( product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b)))
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) )],[refute_0_10729,refute_0_10730]) ).

cnf(refute_0_10732,plain,
    product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b)))) )],[refute_0_10725,refute_0_10731]) ).

cnf(refute_0_10733,plain,
    ( product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b)))
    | product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))))),bind(Y,$fot(product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))))),bind(Z,$fot(product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_10734,plain,
    ( product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b)))) )],[refute_0_10732,refute_0_10733]) ).

cnf(refute_0_10735,plain,
    product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),b),product(C,product(product(c,b),b))),product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))) )],[refute_0_10717,refute_0_10734]) ).

cnf(refute_0_10736,plain,
    ( bigC(product(product(c,b),b),product(product(a,b),b),C) != product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),b),product(product(a,b),b),C),product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))) ),[0],$fot(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))))]]) ).

cnf(refute_0_10737,plain,
    ( bigC(product(product(c,b),b),product(product(a,b),b),C) != product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b)))),product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))) )],[refute_0_10735,refute_0_10736]) ).

cnf(refute_0_10738,plain,
    ( bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C) != product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(a,b),b),C),product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) )],[refute_0_10709,refute_0_10737]) ).

cnf(refute_0_10739,plain,
    bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b),C),product(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(C,difference(bigC(a,a,c),product(a,b))))) )],[refute_0_10703,refute_0_10738]) ).

cnf(refute_0_10740,plain,
    product(product(c,b),product(C,b)) = product(product(c,C),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(C)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10741,plain,
    product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(product(c,product(c,b)),bigC(c,b,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(c,product(c,b)))),bind(C,$fot(bigC(c,b,b)))]]) ).

cnf(refute_0_10742,plain,
    ( product(product(c,product(c,b)),bigC(c,b,b)) != product(c,b)
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) != product(product(product(c,product(c,b)),bigC(c,b,b)),product(B,D))
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(c,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(product(c,product(c,b)),bigC(c,b,b)),product(B,D))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_10743,plain,
    ( product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) != product(product(product(c,product(c,b)),bigC(c,b,b)),product(B,D))
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(c,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(c,b,b)),product(c,b)) )],[refute_0_2269,refute_0_10742]) ).

cnf(refute_0_10744,plain,
    product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(c,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(product(c,product(c,b)),bigC(c,b,b)),product(B,D))) )],[refute_0_10741,refute_0_10743]) ).

cnf(refute_0_10745,plain,
    product(bigC(c,b,b),D) = product(bigC(c,b,b),D),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),D))]]) ).

cnf(refute_0_10746,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),D) != product(bigC(c,b,b),D)
    | product(bigC(c,b,b),D) = product(bigC(b,b,c),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),D),product(bigC(c,b,b),D)) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10747,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),D) = product(bigC(b,b,c),D) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),D),product(bigC(c,b,b),D)) )],[refute_0_10745,refute_0_10746]) ).

cnf(refute_0_10748,plain,
    product(bigC(c,b,b),D) = product(bigC(b,b,c),D),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_10747]) ).

cnf(refute_0_10749,plain,
    product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)))]]) ).

cnf(refute_0_10750,plain,
    ( product(bigC(c,b,b),D) != product(bigC(b,b,c),D)
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) != product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D))
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D))) ),[1,1],$fot(product(bigC(b,b,c),D))]]) ).

cnf(refute_0_10751,plain,
    ( product(bigC(c,b,b),D) != product(bigC(b,b,c),D)
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D))) )],[refute_0_10749,refute_0_10750]) ).

cnf(refute_0_10752,plain,
    product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) = product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),D),product(bigC(b,b,c),D)) )],[refute_0_10748,refute_0_10751]) ).

cnf(refute_0_10753,plain,
    ( product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) != product(product(c,b),product(B,D))
    | product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) != product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D))
    | product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)) = product(product(c,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(c,b),product(B,D))) ),[0],$fot(product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)))]]) ).

cnf(refute_0_10754,plain,
    ( product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)) != product(product(c,b),product(B,D))
    | product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)) = product(product(c,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D))) )],[refute_0_10752,refute_0_10753]) ).

cnf(refute_0_10755,plain,
    product(product(product(c,product(c,b)),B),product(bigC(b,b,c),D)) = product(product(c,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),B),product(bigC(c,b,b),D)),product(product(c,b),product(B,D))) )],[refute_0_10744,refute_0_10754]) ).

cnf(refute_0_10756,plain,
    product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) = product(product(c,b),product(C,b)),
    inference(subst,[],[refute_0_10755:[bind(B,$fot(C)),bind(D,$fot(b))]]) ).

cnf(refute_0_10757,plain,
    ( product(product(c,b),product(C,b)) != product(product(c,C),b)
    | product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) != product(product(c,b),product(C,b))
    | product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) = product(product(c,C),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)))),bind(Y,$fot(product(product(c,b),product(C,b)))),bind(Z,$fot(product(product(c,C),b)))]]) ).

cnf(refute_0_10758,plain,
    ( product(product(c,b),product(C,b)) != product(product(c,C),b)
    | product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) = product(product(c,C),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)),product(product(c,b),product(C,b))) )],[refute_0_10756,refute_0_10757]) ).

cnf(refute_0_10759,plain,
    product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) = product(product(c,C),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(C,b)),product(product(c,C),b)) )],[refute_0_10740,refute_0_10758]) ).

cnf(refute_0_10760,plain,
    ( bigC(product(product(c,b),b),product(product(a,b),b),C) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)) != product(product(c,C),b)
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(c,C),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),b),product(product(a,b),b),C),product(product(c,C),b)) ),[0],$fot(product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_10761,plain,
    ( bigC(product(product(c,b),b),product(product(a,b),b),C) != product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))
    | bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(c,C),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b)),product(product(c,C),b)) )],[refute_0_10759,refute_0_10760]) ).

cnf(refute_0_10762,plain,
    bigC(product(product(c,b),b),product(product(a,b),b),C) = product(product(c,C),b),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(a,b),b),C),product(product(product(c,product(c,b)),C),product(bigC(b,b,c),b))) )],[refute_0_10739,refute_0_10761]) ).

cnf(refute_0_10763,plain,
    bigC(product(product(c,b),b),product(product(a,b),b),X_23) = product(product(c,X_23),b),
    inference(subst,[],[refute_0_10762:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_10764,plain,
    difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)))]]) ).

cnf(refute_0_10765,plain,
    ( bigC(product(product(c,b),b),product(product(a,b),b),X_23) != product(product(c,X_23),b)
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))) ),[1,1],$fot(product(product(c,X_23),b))]]) ).

cnf(refute_0_10766,plain,
    ( bigC(product(product(c,b),b),product(product(a,b),b),X_23) != product(product(c,X_23),b)
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23))) )],[refute_0_10764,refute_0_10765]) ).

cnf(refute_0_10767,plain,
    difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) = difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(a,b),b),X_23),product(product(c,X_23),b)) )],[refute_0_10763,refute_0_10766]) ).

cnf(refute_0_10768,plain,
    ( difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) != difference(product(product(c,product(c,b)),b),product(product(c,X_23),b))
    | difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) != product(X_23,product(product(c,b),b))
    | difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)) = product(X_23,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),product(X_23,product(product(c,b),b))) ),[0],$fot(difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)))]]) ).

cnf(refute_0_10769,plain,
    ( difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)) != product(X_23,product(product(c,b),b))
    | difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)) = product(X_23,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),difference(product(product(c,product(c,b)),b),product(product(c,X_23),b))) )],[refute_0_10767,refute_0_10768]) ).

cnf(refute_0_10770,plain,
    difference(product(product(c,product(c,b)),b),product(product(c,X_23),b)) = product(X_23,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),bigC(product(product(c,b),b),product(product(a,b),b),X_23)),product(X_23,product(product(c,b),b))) )],[refute_0_10699,refute_0_10769]) ).

cnf(refute_0_10771,plain,
    difference(product(product(c,product(c,b)),b),product(product(c,b),b)) = product(b,product(product(c,b),b)),
    inference(subst,[],[refute_0_10770:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_10772,plain,
    ( difference(product(product(c,product(c,b)),b),product(product(c,b),b)) != product(b,product(product(c,b),b))
    | product(b,product(product(c,b),b)) != product(bigC(b,b,c),b)
    | difference(product(product(c,product(c,b)),b),product(product(c,b),b)) = product(bigC(b,b,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(c,b)),b),product(product(c,b),b)))),bind(Y,$fot(product(b,product(product(c,b),b)))),bind(Z,$fot(product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_10773,plain,
    ( product(b,product(product(c,b),b)) != product(bigC(b,b,c),b)
    | difference(product(product(c,product(c,b)),b),product(product(c,b),b)) = product(bigC(b,b,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),product(product(c,b),b)),product(b,product(product(c,b),b))) )],[refute_0_10771,refute_0_10772]) ).

cnf(refute_0_10774,plain,
    difference(product(product(c,product(c,b)),b),product(product(c,b),b)) = product(bigC(b,b,c),b),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),b)),product(bigC(b,b,c),b)) )],[refute_0_10531,refute_0_10773]) ).

cnf(refute_0_10775,plain,
    product(product(c,b),product(product(c,b),b)) = product(product(c,product(c,b)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(product(c,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10776,plain,
    difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)))]]) ).

cnf(refute_0_10777,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b))
    | product(product(c,b),product(product(c,b),b)) != product(product(c,product(c,b)),b)
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(c,product(c,b)),b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b))) ),[1,0],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_10778,plain,
    ( product(product(c,b),product(product(c,b),b)) != product(product(c,product(c,b)),b)
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(c,product(c,b)),b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_10776,refute_0_10777]) ).

cnf(refute_0_10779,plain,
    difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = difference(product(product(c,product(c,b)),b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),b)),product(product(c,product(c,b)),b)) )],[refute_0_10775,refute_0_10778]) ).

cnf(refute_0_10780,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != difference(product(product(c,product(c,b)),b),product(product(c,b),b))
    | difference(product(product(c,product(c,b)),b),product(product(c,b),b)) != product(bigC(b,b,c),b)
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,b,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)))),bind(Y,$fot(difference(product(product(c,product(c,b)),b),product(product(c,b),b)))),bind(Z,$fot(product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_10781,plain,
    ( difference(product(product(c,product(c,b)),b),product(product(c,b),b)) != product(bigC(b,b,c),b)
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,b,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),difference(product(product(c,product(c,b)),b),product(product(c,b),b))) )],[refute_0_10779,refute_0_10780]) ).

cnf(refute_0_10782,plain,
    difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,b,c),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),b),product(product(c,b),b)),product(bigC(b,b,c),b)) )],[refute_0_10774,refute_0_10781]) ).

cnf(refute_0_10783,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != product(bigC(b,b,c),b)
    | difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(bigC(b,b,c),b) = product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))) ),[0],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_10784,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(bigC(b,b,c),b) = product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),product(bigC(b,b,c),b)) )],[refute_0_10782,refute_0_10783]) ).

cnf(refute_0_10785,plain,
    bigC(product(c,b),b,product(b,b)) = bigC(product(c,b),b,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),b,product(b,b)))]]) ).

cnf(refute_0_10786,plain,
    ( bigC(product(c,b),b,product(b,b)) != bigC(product(c,b),b,product(b,b))
    | product(b,b) != b
    | bigC(product(c,b),b,product(b,b)) = bigC(product(c,b),b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),b,product(b,b)),bigC(product(c,b),b,product(b,b))) ),[1,2],$fot(b)]]) ).

cnf(refute_0_10787,plain,
    ( product(b,b) != b
    | bigC(product(c,b),b,product(b,b)) = bigC(product(c,b),b,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(b,b)),bigC(product(c,b),b,product(b,b))) )],[refute_0_10785,refute_0_10786]) ).

cnf(refute_0_10788,plain,
    bigC(product(c,b),b,product(b,b)) = bigC(product(c,b),b,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_10787]) ).

cnf(refute_0_10789,plain,
    bigC(product(c,b),product(b,b),b) = bigC(product(c,b),b,product(b,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,b))),bind(B,$fot(b)),bind(C,$fot(product(b,b)))]]) ).

cnf(refute_0_10790,plain,
    ( bigC(product(c,b),b,product(b,b)) != bigC(product(c,b),b,b)
    | bigC(product(c,b),product(b,b),b) != bigC(product(c,b),b,product(b,b))
    | bigC(product(c,b),product(b,b),b) = bigC(product(c,b),b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(b,b),b))),bind(Y,$fot(bigC(product(c,b),b,product(b,b)))),bind(Z,$fot(bigC(product(c,b),b,b)))]]) ).

cnf(refute_0_10791,plain,
    ( bigC(product(c,b),b,product(b,b)) != bigC(product(c,b),b,b)
    | bigC(product(c,b),product(b,b),b) = bigC(product(c,b),b,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,b),b),bigC(product(c,b),b,product(b,b))) )],[refute_0_10789,refute_0_10790]) ).

cnf(refute_0_10792,plain,
    bigC(product(c,b),product(b,b),b) = bigC(product(c,b),b,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(b,b)),bigC(product(c,b),b,b)) )],[refute_0_10788,refute_0_10791]) ).

cnf(refute_0_10793,plain,
    product(product(product(c,b),b),bigC(b,b,c)) = bigC(product(c,b),product(b,b),b),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(b)),bind(X_63,$fot(c)),bind(X_64,$fot(b)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10794,plain,
    ( bigC(product(c,b),product(b,b),b) != bigC(product(c,b),b,b)
    | product(product(product(c,b),b),bigC(b,b,c)) != bigC(product(c,b),product(b,b),b)
    | product(product(product(c,b),b),bigC(b,b,c)) = bigC(product(c,b),b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),bigC(b,b,c)))),bind(Y,$fot(bigC(product(c,b),product(b,b),b))),bind(Z,$fot(bigC(product(c,b),b,b)))]]) ).

cnf(refute_0_10795,plain,
    ( bigC(product(c,b),product(b,b),b) != bigC(product(c,b),b,b)
    | product(product(product(c,b),b),bigC(b,b,c)) = bigC(product(c,b),b,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(b,b,c)),bigC(product(c,b),product(b,b),b)) )],[refute_0_10793,refute_0_10794]) ).

cnf(refute_0_10796,plain,
    product(product(product(c,b),b),bigC(b,b,c)) = bigC(product(c,b),b,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(b,b),b),bigC(product(c,b),b,b)) )],[refute_0_10792,refute_0_10795]) ).

cnf(refute_0_10797,plain,
    product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))))]]) ).

cnf(refute_0_10798,plain,
    ( product(product(product(c,b),b),bigC(a,b,b)) != bigC(b,b,c)
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) != product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = product(product(product(c,b),b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))),product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10799,plain,
    ( product(product(product(c,b),b),bigC(a,b,b)) != bigC(b,b,c)
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = product(product(product(c,b),b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))),product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_10797,refute_0_10798]) ).

cnf(refute_0_10800,plain,
    product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = product(product(product(c,b),b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(a,b,b)),bigC(b,b,c)) )],[refute_0_10220,refute_0_10799]) ).

cnf(refute_0_10801,plain,
    ( product(product(product(c,b),b),bigC(b,b,c)) != bigC(product(c,b),b,b)
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) != product(product(product(c,b),b),bigC(b,b,c))
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = bigC(product(c,b),b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))))),bind(Y,$fot(product(product(product(c,b),b),bigC(b,b,c)))),bind(Z,$fot(bigC(product(c,b),b,b)))]]) ).

cnf(refute_0_10802,plain,
    ( product(product(product(c,b),b),bigC(b,b,c)) != bigC(product(c,b),b,b)
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = bigC(product(c,b),b,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))),product(product(product(c,b),b),bigC(b,b,c))) )],[refute_0_10800,refute_0_10801]) ).

cnf(refute_0_10803,plain,
    product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) = bigC(product(c,b),b,b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(b,b,c)),bigC(product(c,b),b,b)) )],[refute_0_10796,refute_0_10802]) ).

cnf(refute_0_10804,plain,
    ( product(bigC(b,b,c),b) != product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))) != bigC(product(c,b),b,b)
    | product(bigC(b,b,c),b) = bigC(product(c,b),b,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,b,c),b),bigC(product(c,b),b,b)) ),[0],$fot(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))))]]) ).

cnf(refute_0_10805,plain,
    ( product(bigC(b,b,c),b) != product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(bigC(b,b,c),b) = bigC(product(c,b),b,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b))),bigC(product(c,b),b,b)) )],[refute_0_10803,refute_0_10804]) ).

cnf(refute_0_10806,plain,
    ( difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(bigC(b,b,c),b) = bigC(product(c,b),b,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),b),product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_10784,refute_0_10805]) ).

cnf(refute_0_10807,plain,
    product(bigC(b,b,c),b) = bigC(product(c,b),b,b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(c,b),b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_10526,refute_0_10806]) ).

cnf(refute_0_10808,plain,
    ( product(bigC(b,b,c),b) != bigC(product(c,b),b,b)
    | bigC(product(c,b),b,b) = product(bigC(b,b,c),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,b,c),b))),bind(Y,$fot(bigC(product(c,b),b,b)))]]) ).

cnf(refute_0_10809,plain,
    bigC(product(c,b),b,b) = product(bigC(b,b,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),b),bigC(product(c,b),b,b)) )],[refute_0_10807,refute_0_10808]) ).

cnf(refute_0_10810,plain,
    ( bigC(product(c,b),b,b) != product(bigC(b,b,c),b)
    | quotient(bigC(product(c,b),b,b),product(b,product(c,b))) != product(product(c,b),b)
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,b),b,b),product(b,product(c,b))),product(product(c,b),b)) ),[0,0],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_10811,plain,
    ( quotient(bigC(product(c,b),b,b),product(b,product(c,b))) != product(product(c,b),b)
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,b),product(bigC(b,b,c),b)) )],[refute_0_10809,refute_0_10810]) ).

cnf(refute_0_10812,plain,
    quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),b,b),product(b,product(c,b))),product(product(c,b),b)) )],[refute_0_10518,refute_0_10811]) ).

cnf(refute_0_10813,plain,
    quotient(product(bigC(b,b,c),b),bigC(b,b,c)) = product(bigC(b,b,c),quotient(b,bigC(b,b,c))),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(b)),bind(X_85,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10814,plain,
    quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = quotient(product(bigC(b,b,c),b),product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(b,b,c),b),product(b,product(c,b))))]]) ).

cnf(refute_0_10815,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) != quotient(product(bigC(b,b,c),b),product(b,product(c,b)))
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = quotient(product(bigC(b,b,c),b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,b,c),b),product(b,product(c,b))),quotient(product(bigC(b,b,c),b),product(b,product(c,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10816,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = quotient(product(bigC(b,b,c),b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),product(b,product(c,b))),quotient(product(bigC(b,b,c),b),product(b,product(c,b)))) )],[refute_0_10814,refute_0_10815]) ).

cnf(refute_0_10817,plain,
    quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = quotient(product(bigC(b,b,c),b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,b)),bigC(b,b,c)) )],[refute_0_5615,refute_0_10816]) ).

cnf(refute_0_10818,plain,
    ( quotient(product(bigC(b,b,c),b),bigC(b,b,c)) != product(bigC(b,b,c),quotient(b,bigC(b,b,c)))
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) != quotient(product(bigC(b,b,c),b),bigC(b,b,c))
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = product(bigC(b,b,c),quotient(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(bigC(b,b,c),b),product(b,product(c,b))))),bind(Y,$fot(quotient(product(bigC(b,b,c),b),bigC(b,b,c)))),bind(Z,$fot(product(bigC(b,b,c),quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_10819,plain,
    ( quotient(product(bigC(b,b,c),b),bigC(b,b,c)) != product(bigC(b,b,c),quotient(b,bigC(b,b,c)))
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = product(bigC(b,b,c),quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),product(b,product(c,b))),quotient(product(bigC(b,b,c),b),bigC(b,b,c))) )],[refute_0_10817,refute_0_10818]) ).

cnf(refute_0_10820,plain,
    quotient(product(bigC(b,b,c),b),product(b,product(c,b))) = product(bigC(b,b,c),quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),bigC(b,b,c)),product(bigC(b,b,c),quotient(b,bigC(b,b,c)))) )],[refute_0_10813,refute_0_10819]) ).

cnf(refute_0_10821,plain,
    ( quotient(product(bigC(b,b,c),b),product(b,product(c,b))) != product(bigC(b,b,c),quotient(b,bigC(b,b,c)))
    | quotient(product(bigC(b,b,c),b),product(b,product(c,b))) != product(product(c,b),b)
    | product(bigC(b,b,c),quotient(b,bigC(b,b,c))) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,b,c),b),product(b,product(c,b))),product(product(c,b),b)) ),[0],$fot(product(bigC(b,b,c),quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_10822,plain,
    ( quotient(product(bigC(b,b,c),b),product(b,product(c,b))) != product(product(c,b),b)
    | product(bigC(b,b,c),quotient(b,bigC(b,b,c))) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),product(b,product(c,b))),product(bigC(b,b,c),quotient(b,bigC(b,b,c)))) )],[refute_0_10820,refute_0_10821]) ).

cnf(refute_0_10823,plain,
    product(bigC(b,b,c),quotient(b,bigC(b,b,c))) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),product(b,product(c,b))),product(product(c,b),b)) )],[refute_0_10812,refute_0_10822]) ).

cnf(refute_0_10824,plain,
    ( product(bigC(b,b,c),quotient(b,bigC(b,b,c))) != product(product(c,b),b)
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(b,bigC(b,b,c))))) != bigC(b,b,c)
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(b,bigC(b,b,c))))),bigC(b,b,c)) ),[0,1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_10825,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(b,bigC(b,b,c))))) != bigC(b,b,c)
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),quotient(b,bigC(b,b,c))),product(product(c,b),b)) )],[refute_0_10823,refute_0_10824]) ).

cnf(refute_0_10826,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(bigC(b,b,c),quotient(b,bigC(b,b,c))))),bigC(b,b,c)) )],[refute_0_10517,refute_0_10825]) ).

cnf(refute_0_10827,plain,
    product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)) = bigC(b,bigC(a,b,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(b)),bind(B,$fot(bigC(a,b,b))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10828,plain,
    product(quotient(b,bigC(b,b,c)),bigC(b,b,c)) = b,
    inference(subst,[],[sos04:[bind(A,$fot(b)),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10829,plain,
    product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) = product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)))]]) ).

cnf(refute_0_10830,plain,
    ( product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) != product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b))
    | product(quotient(b,bigC(b,b,c)),bigC(b,b,c)) != b
    | product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) = product(b,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_10831,plain,
    ( product(quotient(b,bigC(b,b,c)),bigC(b,b,c)) != b
    | product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) = product(b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b))) )],[refute_0_10829,refute_0_10830]) ).

cnf(refute_0_10832,plain,
    product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) = product(b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),b) )],[refute_0_10828,refute_0_10831]) ).

cnf(refute_0_10833,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_10834,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) != product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))
    | product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) != product(b,bigC(a,b,b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))) ),[1,0],$fot(product(b,bigC(a,b,b)))]]) ).

cnf(refute_0_10835,plain,
    ( product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)) != product(b,bigC(a,b,b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))) )],[refute_0_10833,refute_0_10834]) ).

cnf(refute_0_10836,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(b,bigC(a,b,b))) )],[refute_0_10832,refute_0_10835]) ).

cnf(refute_0_10837,plain,
    ( product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)) != bigC(b,bigC(a,b,b),bigC(b,b,c))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) != product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = bigC(b,bigC(a,b,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)))),bind(Y,$fot(product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)))),bind(Z,$fot(bigC(b,bigC(a,b,b),bigC(b,b,c))))]]) ).

cnf(refute_0_10838,plain,
    ( product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)) != bigC(b,bigC(a,b,b),bigC(b,b,c))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = bigC(b,bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b))) )],[refute_0_10836,refute_0_10837]) ).

cnf(refute_0_10839,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) = bigC(b,bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,bigC(a,b,b)),product(bigC(b,b,c),b)),bigC(b,bigC(a,b,b),bigC(b,b,c))) )],[refute_0_10827,refute_0_10838]) ).

cnf(refute_0_10840,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b)) = product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)))),bind(B,$fot(bigC(a,b,b))),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_10841,plain,
    product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))),
    inference(subst,[],[sos05:[bind(B,$fot(difference(product(product(a,b),b),product(product(c,b),b)))),bind(D,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_10842,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(c,b),b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(product(c,b),b))),bind(X_22,$fot(product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10843,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) != product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(c,b),b))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != difference(product(product(a,b),b),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)),product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(c,b),b))) ),[1,0],$fot(difference(product(product(a,b),b),product(product(c,b),b)))]]) ).

cnf(refute_0_10844,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) != product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),difference(product(product(a,b),b),product(product(c,b),b))) )],[refute_0_9358,refute_0_10843]) ).

cnf(refute_0_10845,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)),product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(product(c,b),b))) )],[refute_0_10842,refute_0_10844]) ).

cnf(refute_0_10846,plain,
    product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(c,b,c))),bind(X_64,$fot(product(bigC(c,a,b),product(b,c)))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_10847,plain,
    product(bigC(c,b,c),product(b,b)) = product(bigC(c,b,c),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(b,b)))]]) ).

cnf(refute_0_10848,plain,
    ( product(b,b) != b
    | product(bigC(c,b,c),product(b,b)) != product(bigC(c,b,c),product(b,b))
    | product(bigC(c,b,c),product(b,b)) = product(bigC(c,b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(c,b,c),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_10849,plain,
    ( product(b,b) != b
    | product(bigC(c,b,c),product(b,b)) = product(bigC(c,b,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(c,b,c),product(b,b))) )],[refute_0_10847,refute_0_10848]) ).

cnf(refute_0_10850,plain,
    product(bigC(c,b,c),product(b,b)) = product(bigC(c,b,c),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_10849]) ).

cnf(refute_0_10851,plain,
    bigC(product(c,b),b,product(c,b)) = product(bigC(c,b,c),product(b,b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_10852,plain,
    ( bigC(product(c,b),b,product(c,b)) != product(bigC(c,b,c),product(b,b))
    | product(bigC(c,b,c),product(b,b)) != product(bigC(c,b,c),b)
    | bigC(product(c,b),b,product(c,b)) = product(bigC(c,b,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),b,product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(b,b)))),bind(Z,$fot(product(bigC(c,b,c),b)))]]) ).

cnf(refute_0_10853,plain,
    ( product(bigC(c,b,c),product(b,b)) != product(bigC(c,b,c),b)
    | bigC(product(c,b),b,product(c,b)) = product(bigC(c,b,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(c,b)),product(bigC(c,b,c),product(b,b))) )],[refute_0_10851,refute_0_10852]) ).

cnf(refute_0_10854,plain,
    bigC(product(c,b),b,product(c,b)) = product(bigC(c,b,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(c,b,c),b)) )],[refute_0_10850,refute_0_10853]) ).

cnf(refute_0_10855,plain,
    product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)))]]) ).

cnf(refute_0_10856,plain,
    ( bigC(product(c,b),b,product(c,b)) != product(bigC(c,b,c),b)
    | product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) != product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b))
    | product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)),product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b))) ),[1,0],$fot(product(bigC(c,b,c),b))]]) ).

cnf(refute_0_10857,plain,
    ( bigC(product(c,b),b,product(c,b)) != product(bigC(c,b,c),b)
    | product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)),product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b))) )],[refute_0_10855,refute_0_10856]) ).

cnf(refute_0_10858,plain,
    product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(c,b)),product(bigC(c,b,c),b)) )],[refute_0_10854,refute_0_10857]) ).

cnf(refute_0_10859,plain,
    ( product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) != product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b))
    | product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)))),bind(Y,$fot(product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)))),bind(Z,$fot(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)))]]) ).

cnf(refute_0_10860,plain,
    ( product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)),product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b))) )],[refute_0_10858,refute_0_10859]) ).

cnf(refute_0_10861,plain,
    product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),b),product(product(bigC(c,a,b),product(b,c)),b)),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) )],[refute_0_10846,refute_0_10860]) ).

cnf(refute_0_10862,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(product(c,b))),bind(C,$fot(product(bigC(c,a,b),product(b,c)))),bind(D,$fot(b))]]) ).

cnf(refute_0_10863,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) != product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b))
    | product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)))),bind(Y,$fot(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)))),bind(Z,$fot(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)))]]) ).

cnf(refute_0_10864,plain,
    ( product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)),product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b))) )],[refute_0_10862,refute_0_10863]) ).

cnf(refute_0_10865,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(product(bigC(c,a,b),product(b,c)),b)),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) )],[refute_0_10861,refute_0_10864]) ).

cnf(refute_0_10866,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))) ),[0],$fot(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))]]) ).

cnf(refute_0_10867,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))
    | product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) )],[refute_0_10865,refute_0_10866]) ).

cnf(refute_0_10868,plain,
    product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),product(product(c,b),b)),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_10845,refute_0_10867]) ).

cnf(refute_0_10869,plain,
    ( product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))),bind(Y,$fot(product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))))]]) ).

cnf(refute_0_10870,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_10868,refute_0_10869]) ).

cnf(refute_0_10871,plain,
    ( product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)))
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)))) ),[1,1],$fot(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))]]) ).

cnf(refute_0_10872,plain,
    ( product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)))
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) )],[refute_0_10870,refute_0_10871]) ).

cnf(refute_0_10873,plain,
    product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)),
    inference(resolve,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(product(c,b),b)))) )],[refute_0_10841,refute_0_10872]) ).

cnf(refute_0_10874,plain,
    product(A,difference(product(product(a,b),b),product(product(c,b),b))) = product(A,difference(product(product(a,b),b),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(A,difference(product(product(a,b),b),product(product(c,b),b))))]]) ).

cnf(refute_0_10875,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(A,difference(product(product(a,b),b),product(product(c,b),b))) != product(A,difference(product(product(a,b),b),product(product(c,b),b)))
    | product(A,difference(product(product(a,b),b),product(product(c,b),b))) = product(A,bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(A,difference(product(product(a,b),b),product(product(c,b),b)))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_10876,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(A,difference(product(product(a,b),b),product(product(c,b),b))) = product(A,bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(A,difference(product(product(a,b),b),product(product(c,b),b)))) )],[refute_0_10874,refute_0_10875]) ).

cnf(refute_0_10877,plain,
    product(A,difference(product(product(a,b),b),product(product(c,b),b))) = product(A,bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),bigC(c,b,b)) )],[refute_0_9385,refute_0_10876]) ).

cnf(refute_0_10878,plain,
    product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))))]]) ).

cnf(refute_0_10879,plain,
    ( product(A,difference(product(product(a,b),b),product(product(c,b),b))) != product(A,bigC(c,b,b))
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b)))
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b)))) ),[1,0],$fot(product(A,bigC(c,b,b)))]]) ).

cnf(refute_0_10880,plain,
    ( product(A,difference(product(product(a,b),b),product(product(c,b),b))) != product(A,bigC(c,b,b))
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b)))) )],[refute_0_10878,refute_0_10879]) ).

cnf(refute_0_10881,plain,
    product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) = product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(A,bigC(c,b,b))) )],[refute_0_10877,refute_0_10880]) ).

cnf(refute_0_10882,plain,
    ( product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))
    | product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b)))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))) ),[0],$fot(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))))]]) ).

cnf(refute_0_10883,plain,
    ( product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b)))) )],[refute_0_10881,refute_0_10882]) ).

cnf(refute_0_10884,plain,
    product(bigC(c,b,c),bigC(c,b,c)) = bigC(c,b,c),
    inference(subst,[],[sos06:[bind(A,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_10885,plain,
    product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_10886,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,c),product(bigC(c,a,b),product(b,c)))
    | product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,c),product(bigC(c,a,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_10887,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,c),product(bigC(c,a,b),product(b,c)))) )],[refute_0_10885,refute_0_10886]) ).

cnf(refute_0_10888,plain,
    product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = product(bigC(c,b,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_10887]) ).

cnf(refute_0_10889,plain,
    ( product(bigC(c,b,c),bigC(c,b,c)) != bigC(c,b,c)
    | product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) != product(bigC(c,b,c),bigC(c,b,c))
    | product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = bigC(c,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))))),bind(Y,$fot(product(bigC(c,b,c),bigC(c,b,c)))),bind(Z,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_10890,plain,
    ( product(bigC(c,b,c),bigC(c,b,c)) != bigC(c,b,c)
    | product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = bigC(c,b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),product(bigC(c,b,c),bigC(c,b,c))) )],[refute_0_10888,refute_0_10889]) ).

cnf(refute_0_10891,plain,
    product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) = bigC(c,b,c),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(c,b,c)),bigC(c,b,c)) )],[refute_0_10884,refute_0_10890]) ).

cnf(refute_0_10892,plain,
    product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))]]) ).

cnf(refute_0_10893,plain,
    ( product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) != bigC(c,b,c)
    | product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) != product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)
    | product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(bigC(c,b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_10894,plain,
    ( product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))) != bigC(c,b,c)
    | product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(bigC(c,b,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) )],[refute_0_10892,refute_0_10893]) ).

cnf(refute_0_10895,plain,
    product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) = product(bigC(c,b,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),bigC(c,b,c)) )],[refute_0_10891,refute_0_10894]) ).

cnf(refute_0_10896,plain,
    product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) = product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)))]]) ).

cnf(refute_0_10897,plain,
    ( product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) != product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))
    | product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) != product(bigC(c,b,c),b)
    | product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) = product(product(A,C),product(bigC(c,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)),product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))) ),[1,1],$fot(product(bigC(c,b,c),b))]]) ).

cnf(refute_0_10898,plain,
    ( product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b) != product(bigC(c,b,c),b)
    | product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) = product(product(A,C),product(bigC(c,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)),product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))) )],[refute_0_10896,refute_0_10897]) ).

cnf(refute_0_10899,plain,
    product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) = product(product(A,C),product(bigC(c,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b),product(bigC(c,b,c),b)) )],[refute_0_10895,refute_0_10898]) ).

cnf(refute_0_10900,plain,
    ( product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)) != product(product(A,C),product(bigC(c,b,c),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(c,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))) ),[1],$fot(product(product(A,C),product(bigC(c,b,c),b)))]]) ).

cnf(refute_0_10901,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(c,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b)),product(product(A,C),product(bigC(c,b,c),b))) )],[refute_0_10899,refute_0_10900]) ).

cnf(refute_0_10902,plain,
    ( product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))) != product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(c,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))) )],[refute_0_10883,refute_0_10901]) ).

cnf(refute_0_10903,plain,
    product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(c,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(A,difference(product(product(a,b),b),product(product(c,b),b))),product(C,product(product(c,b),b))),product(product(A,C),product(product(bigC(c,b,c),product(bigC(c,a,b),product(b,c))),b))) )],[refute_0_10873,refute_0_10902]) ).

cnf(refute_0_10904,plain,
    product(bigC(c,b,c),b) = product(bigC(c,b,c),b),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),b))]]) ).

cnf(refute_0_10905,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),b) != product(bigC(c,b,c),b)
    | product(bigC(c,b,c),b) = product(bigC(b,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),b),product(bigC(c,b,c),b)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_10906,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),b) = product(bigC(b,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),b),product(bigC(c,b,c),b)) )],[refute_0_10904,refute_0_10905]) ).

cnf(refute_0_10907,plain,
    product(bigC(c,b,c),b) = product(bigC(b,a,b),b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_10906]) ).

cnf(refute_0_10908,plain,
    product(product(A,C),product(bigC(c,b,c),b)) = product(product(A,C),product(bigC(c,b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(bigC(c,b,c),b)))]]) ).

cnf(refute_0_10909,plain,
    ( product(bigC(c,b,c),b) != product(bigC(b,a,b),b)
    | product(product(A,C),product(bigC(c,b,c),b)) != product(product(A,C),product(bigC(c,b,c),b))
    | product(product(A,C),product(bigC(c,b,c),b)) = product(product(A,C),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(bigC(c,b,c),b)),product(product(A,C),product(bigC(c,b,c),b))) ),[1,1],$fot(product(bigC(b,a,b),b))]]) ).

cnf(refute_0_10910,plain,
    ( product(bigC(c,b,c),b) != product(bigC(b,a,b),b)
    | product(product(A,C),product(bigC(c,b,c),b)) = product(product(A,C),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(bigC(c,b,c),b)),product(product(A,C),product(bigC(c,b,c),b))) )],[refute_0_10908,refute_0_10909]) ).

cnf(refute_0_10911,plain,
    product(product(A,C),product(bigC(c,b,c),b)) = product(product(A,C),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),b),product(bigC(b,a,b),b)) )],[refute_0_10907,refute_0_10910]) ).

cnf(refute_0_10912,plain,
    ( product(product(A,C),product(bigC(c,b,c),b)) != product(product(A,C),product(bigC(b,a,b),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,C),product(bigC(c,b,c),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,C),product(bigC(c,b,c),b))) ),[1],$fot(product(product(A,C),product(bigC(b,a,b),b)))]]) ).

cnf(refute_0_10913,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,C),product(bigC(c,b,c),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(bigC(c,b,c),b)),product(product(A,C),product(bigC(b,a,b),b))) )],[refute_0_10911,refute_0_10912]) ).

cnf(refute_0_10914,plain,
    product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,C),product(bigC(c,b,c),b))) )],[refute_0_10903,refute_0_10913]) ).

cnf(refute_0_10915,plain,
    product(A,bigC(c,b,b)) = product(A,bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(A,bigC(c,b,b)))]]) ).

cnf(refute_0_10916,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(A,bigC(c,b,b)) != product(A,bigC(c,b,b))
    | product(A,bigC(c,b,b)) = product(A,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,bigC(c,b,b)),product(A,bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10917,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(A,bigC(c,b,b)) = product(A,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,b,b)),product(A,bigC(c,b,b))) )],[refute_0_10915,refute_0_10916]) ).

cnf(refute_0_10918,plain,
    product(A,bigC(c,b,b)) = product(A,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_10917]) ).

cnf(refute_0_10919,plain,
    product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))))]]) ).

cnf(refute_0_10920,plain,
    ( product(A,bigC(c,b,b)) != product(A,bigC(b,b,c))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b)))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b)))) ),[1,0],$fot(product(A,bigC(b,b,c)))]]) ).

cnf(refute_0_10921,plain,
    ( product(A,bigC(c,b,b)) != product(A,bigC(b,b,c))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b)))) )],[refute_0_10919,refute_0_10920]) ).

cnf(refute_0_10922,plain,
    product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) = product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,b,b)),product(A,bigC(b,b,c))) )],[refute_0_10918,refute_0_10921]) ).

cnf(refute_0_10923,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,C),product(bigC(b,a,b),b))
    | product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b)))
    | product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(b,a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,C),product(bigC(b,a,b),b))) ),[0],$fot(product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))))]]) ).

cnf(refute_0_10924,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))) != product(product(A,C),product(bigC(b,a,b),b))
    | product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(b,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b)))) )],[refute_0_10922,refute_0_10923]) ).

cnf(refute_0_10925,plain,
    product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(b,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(product(c,b),b))),product(product(A,C),product(bigC(b,a,b),b))) )],[refute_0_10914,refute_0_10924]) ).

cnf(refute_0_10926,plain,
    product(bigC(b,a,b),b) = product(bigC(b,a,b),b),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),b))]]) ).

cnf(refute_0_10927,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),b) != product(bigC(b,a,b),b)
    | product(bigC(b,a,b),b) = product(bigC(a,b,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),b),product(bigC(b,a,b),b)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_10928,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),b) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),b),product(bigC(b,a,b),b)) )],[refute_0_10926,refute_0_10927]) ).

cnf(refute_0_10929,plain,
    product(bigC(b,a,b),b) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_10928]) ).

cnf(refute_0_10930,plain,
    product(product(A,C),product(bigC(b,a,b),b)) = product(product(A,C),product(bigC(b,a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(bigC(b,a,b),b)))]]) ).

cnf(refute_0_10931,plain,
    ( product(bigC(b,a,b),b) != product(bigC(a,b,b),b)
    | product(product(A,C),product(bigC(b,a,b),b)) != product(product(A,C),product(bigC(b,a,b),b))
    | product(product(A,C),product(bigC(b,a,b),b)) = product(product(A,C),product(bigC(a,b,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(bigC(b,a,b),b)),product(product(A,C),product(bigC(b,a,b),b))) ),[1,1],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_10932,plain,
    ( product(bigC(b,a,b),b) != product(bigC(a,b,b),b)
    | product(product(A,C),product(bigC(b,a,b),b)) = product(product(A,C),product(bigC(a,b,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(bigC(b,a,b),b)),product(product(A,C),product(bigC(b,a,b),b))) )],[refute_0_10930,refute_0_10931]) ).

cnf(refute_0_10933,plain,
    product(product(A,C),product(bigC(b,a,b),b)) = product(product(A,C),product(bigC(a,b,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),b),product(bigC(a,b,b),b)) )],[refute_0_10929,refute_0_10932]) ).

cnf(refute_0_10934,plain,
    ( product(product(A,C),product(bigC(b,a,b),b)) != product(product(A,C),product(bigC(a,b,b),b))
    | product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) != product(product(A,C),product(bigC(b,a,b),b))
    | product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(a,b,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))),product(product(A,C),product(bigC(b,a,b),b))) ),[1],$fot(product(product(A,C),product(bigC(a,b,b),b)))]]) ).

cnf(refute_0_10935,plain,
    ( product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) != product(product(A,C),product(bigC(b,a,b),b))
    | product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(a,b,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(bigC(b,a,b),b)),product(product(A,C),product(bigC(a,b,b),b))) )],[refute_0_10933,refute_0_10934]) ).

cnf(refute_0_10936,plain,
    product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))) = product(product(A,C),product(bigC(a,b,b),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,product(product(c,b),b))),product(product(A,C),product(bigC(b,a,b),b))) )],[refute_0_10925,refute_0_10935]) ).

cnf(refute_0_10937,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b)),
    inference(subst,[],[refute_0_10936:[bind(A,$fot(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_10938,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b)) != product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) != product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))))),bind(Y,$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b)))),bind(Z,$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_10939,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b)) != product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))),product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b))) )],[refute_0_10937,refute_0_10938]) ).

cnf(refute_0_10940,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(a,b,b),b)),product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))) )],[refute_0_10840,refute_0_10939]) ).

cnf(refute_0_10941,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) != bigC(b,bigC(a,b,b),bigC(b,b,c))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) != product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = bigC(b,bigC(a,b,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))))),bind(Y,$fot(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)))),bind(Z,$fot(bigC(b,bigC(a,b,b),bigC(b,b,c))))]]) ).

cnf(refute_0_10942,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)) != bigC(b,bigC(a,b,b),bigC(b,b,c))
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = bigC(b,bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))),product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b))) )],[refute_0_10940,refute_0_10941]) ).

cnf(refute_0_10943,plain,
    product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) = bigC(b,bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(a,b,b)),product(bigC(b,b,c),b)),bigC(b,bigC(a,b,b),bigC(b,b,c))) )],[refute_0_10839,refute_0_10942]) ).

cnf(refute_0_10944,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) != bigC(b,b,c)
    | product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) != bigC(b,bigC(a,b,b),bigC(b,b,c))
    | bigC(b,bigC(a,b,b),bigC(b,b,c)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))),bigC(b,b,c)) ),[0],$fot(bigC(b,bigC(a,b,b),bigC(b,b,c)))]]) ).

cnf(refute_0_10945,plain,
    ( product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))) != bigC(b,b,c)
    | bigC(b,bigC(a,b,b),bigC(b,b,c)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))),bigC(b,bigC(a,b,b),bigC(b,b,c))) )],[refute_0_10943,refute_0_10944]) ).

cnf(refute_0_10946,plain,
    bigC(b,bigC(a,b,b),bigC(b,b,c)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(b,bigC(b,b,c)),bigC(b,b,c)),bigC(b,b,c)),product(bigC(b,b,c),product(product(c,b),b))),bigC(b,b,c)) )],[refute_0_10826,refute_0_10945]) ).

cnf(refute_0_10947,plain,
    ( bigC(b,bigC(a,b,b),bigC(b,b,c)) != bigC(b,b,c)
    | quotient(bigC(b,bigC(a,b,b),bigC(b,b,c)),product(bigC(b,b,c),b)) != product(b,bigC(a,b,b))
    | quotient(bigC(b,b,c),product(bigC(b,b,c),b)) = product(b,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,bigC(a,b,b),bigC(b,b,c)),product(bigC(b,b,c),b)),product(b,bigC(a,b,b))) ),[0,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10948,plain,
    ( quotient(bigC(b,bigC(a,b,b),bigC(b,b,c)),product(bigC(b,b,c),b)) != product(b,bigC(a,b,b))
    | quotient(bigC(b,b,c),product(bigC(b,b,c),b)) = product(b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,bigC(a,b,b),bigC(b,b,c)),bigC(b,b,c)) )],[refute_0_10946,refute_0_10947]) ).

cnf(refute_0_10949,plain,
    quotient(bigC(b,b,c),product(bigC(b,b,c),b)) = product(b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,bigC(a,b,b),bigC(b,b,c)),product(bigC(b,b,c),b)),product(b,bigC(a,b,b))) )],[refute_0_10516,refute_0_10948]) ).

cnf(refute_0_10950,plain,
    ( difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b)))
    | quotient(bigC(b,b,c),product(bigC(b,b,c),b)) != product(b,bigC(a,b,b))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b)))) ),[1,1],$fot(product(b,bigC(a,b,b)))]]) ).

cnf(refute_0_10951,plain,
    ( difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b)))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),product(bigC(b,b,c),b)),product(b,bigC(a,b,b))) )],[refute_0_10949,refute_0_10950]) ).

cnf(refute_0_10952,plain,
    difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b)))) )],[refute_0_10515,refute_0_10951]) ).

cnf(refute_0_10953,plain,
    product(b,bigC(b,c,b)) = product(b,bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(b,bigC(b,c,b)))]]) ).

cnf(refute_0_10954,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(b,bigC(b,c,b)) != product(b,bigC(b,c,b))
    | product(b,bigC(b,c,b)) = product(b,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(b,c,b)),product(b,bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_10955,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(b,bigC(b,c,b)) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,c,b)),product(b,bigC(b,c,b))) )],[refute_0_10953,refute_0_10954]) ).

cnf(refute_0_10956,plain,
    product(b,bigC(b,c,b)) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_10955]) ).

cnf(refute_0_10957,plain,
    bigC(b,b,product(b,c)) = product(b,bigC(b,c,b)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(c)),bind(X_83,$fot(b))]]) ).

cnf(refute_0_10958,plain,
    product(product(b,b),bigC(b,b,c)) = bigC(b,b,product(b,c)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(b)),bind(X_22,$fot(b)),bind(X_86,$fot(c))]]) ).

cnf(refute_0_10959,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,c,b))
    | product(product(b,b),bigC(b,b,c)) != bigC(b,b,product(b,c))
    | product(product(b,b),bigC(b,b,c)) = product(b,bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,b),bigC(b,b,c)))),bind(Y,$fot(bigC(b,b,product(b,c)))),bind(Z,$fot(product(b,bigC(b,c,b))))]]) ).

cnf(refute_0_10960,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,c,b))
    | product(product(b,b),bigC(b,b,c)) = product(b,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(b,b,c)),bigC(b,b,product(b,c))) )],[refute_0_10958,refute_0_10959]) ).

cnf(refute_0_10961,plain,
    product(product(b,b),bigC(b,b,c)) = product(b,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,c)),product(b,bigC(b,c,b))) )],[refute_0_10957,refute_0_10960]) ).

cnf(refute_0_10962,plain,
    product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) = product(product(b,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_4241:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(b)),bind(X_29,$fot(b))]]) ).

cnf(refute_0_10963,plain,
    ( product(product(b,b),bigC(b,b,c)) != product(b,bigC(b,c,b))
    | product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) != product(product(b,b),bigC(b,b,c))
    | product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) = product(b,bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))))),bind(Y,$fot(product(product(b,b),bigC(b,b,c)))),bind(Z,$fot(product(b,bigC(b,c,b))))]]) ).

cnf(refute_0_10964,plain,
    ( product(product(b,b),bigC(b,b,c)) != product(b,bigC(b,c,b))
    | product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) = product(b,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))),product(product(b,b),bigC(b,b,c))) )],[refute_0_10962,refute_0_10963]) ).

cnf(refute_0_10965,plain,
    product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) = product(b,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(b,b,c)),product(b,bigC(b,c,b))) )],[refute_0_10961,refute_0_10964]) ).

cnf(refute_0_10966,plain,
    ( difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b)))
    | product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) != product(b,bigC(b,c,b))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(b,bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))))),bind(Y,$fot(product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))))),bind(Z,$fot(product(b,bigC(b,c,b))))]]) ).

cnf(refute_0_10967,plain,
    ( product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))) != product(b,bigC(b,c,b))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(b,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b)))) )],[refute_0_10515,refute_0_10966]) ).

cnf(refute_0_10968,plain,
    difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(b,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),b),quotient(bigC(b,b,c),product(bigC(b,b,c),b))),product(b,bigC(b,c,b))) )],[refute_0_10965,refute_0_10967]) ).

cnf(refute_0_10969,plain,
    ( difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(b,bigC(b,c,b))
    | product(b,bigC(b,c,b)) != product(b,bigC(b,b,c))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))))),bind(Y,$fot(product(b,bigC(b,c,b)))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_10970,plain,
    ( product(b,bigC(b,c,b)) != product(b,bigC(b,b,c))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(b,bigC(b,c,b))) )],[refute_0_10968,refute_0_10969]) ).

cnf(refute_0_10971,plain,
    difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,c,b)),product(b,bigC(b,b,c))) )],[refute_0_10956,refute_0_10970]) ).

cnf(refute_0_10972,plain,
    ( difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(b,bigC(b,b,c))
    | difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))
    | product(b,bigC(b,b,c)) = product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) ),[0],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_10973,plain,
    ( difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))) != product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))
    | product(b,bigC(b,b,c)) = product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(b,bigC(b,b,c))) )],[refute_0_10971,refute_0_10972]) ).

cnf(refute_0_10974,plain,
    product(b,bigC(b,b,c)) = product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),b),difference(product(bigC(b,b,c),product(bigC(b,b,c),b)),product(bigC(b,b,c),b))),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) )],[refute_0_10952,refute_0_10973]) ).

cnf(refute_0_10975,plain,
    ( product(b,bigC(b,b,c)) != product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))
    | product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,bigC(b,b,c)))),bind(Y,$fot(product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))))]]) ).

cnf(refute_0_10976,plain,
    product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,b,c)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) )],[refute_0_10974,refute_0_10975]) ).

cnf(refute_0_10977,plain,
    product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))))]]) ).

cnf(refute_0_10978,plain,
    ( product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))
    | product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) != product(b,bigC(b,b,c))
    | product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) ),[1,1],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_10979,plain,
    ( product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))) != product(b,bigC(b,b,c))
    | product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))))) )],[refute_0_10977,refute_0_10978]) ).

cnf(refute_0_10980,plain,
    product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),b),product(b,bigC(a,b,b))),product(b,bigC(b,b,c))) )],[refute_0_10976,refute_0_10979]) ).

cnf(refute_0_10981,plain,
    ( product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))
    | product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(c,b)
    | product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(c,b)) ),[0],$fot(product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_10982,plain,
    ( product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))) != product(c,b)
    | product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))) )],[refute_0_10980,refute_0_10981]) ).

cnf(refute_0_10983,plain,
    product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(bigC(b,b,c),b),product(b,bigC(a,b,b)))),product(c,b)) )],[refute_0_10514,refute_0_10982]) ).

cnf(refute_0_10984,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,c,b))
    | product(b,bigC(b,c,b)) != product(b,bigC(b,b,c))
    | bigC(b,b,product(b,c)) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,b,product(b,c)))),bind(Y,$fot(product(b,bigC(b,c,b)))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_10985,plain,
    ( product(b,bigC(b,c,b)) != product(b,bigC(b,b,c))
    | bigC(b,b,product(b,c)) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,c)),product(b,bigC(b,c,b))) )],[refute_0_10957,refute_0_10984]) ).

cnf(refute_0_10986,plain,
    bigC(b,b,product(b,c)) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,c,b)),product(b,bigC(b,b,c))) )],[refute_0_10956,refute_0_10985]) ).

cnf(refute_0_10987,plain,
    product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))))]]) ).

cnf(refute_0_10988,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) != product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c)))
    | product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))),product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c)))) ),[1,1],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_10989,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,b,c))
    | product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))),product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c)))) )],[refute_0_10987,refute_0_10988]) ).

cnf(refute_0_10990,plain,
    product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,c)),product(b,bigC(b,b,c))) )],[refute_0_10986,refute_0_10989]) ).

cnf(refute_0_10991,plain,
    product(product(a,product(b,c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) = product(product(c,a),bigC(b,b,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(product(product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_10992,plain,
    difference(bigC(a,b,b),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_10993,plain,
    difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(difference(product(a,product(b,c)),product(c,product(c,b))),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(c,product(c,b)))),bind(X_32,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_10994,plain,
    difference(quotient(product(c,product(c,b)),bigC(b,a,b)),product(c,product(c,b))) = bigC(b,a,b),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(bigC(b,a,b))),bind(X_9,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_10995,plain,
    quotient(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(a,product(b,c)),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_10996,plain,
    ( product(product(a,b),c) != product(product(a,product(b,c)),bigC(c,b,c))
    | product(product(a,product(b,c)),bigC(c,b,c)) = product(product(a,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,b),c))),bind(Y,$fot(product(product(a,product(b,c)),bigC(c,b,c))))]]) ).

cnf(refute_0_10997,plain,
    product(product(a,product(b,c)),bigC(c,b,c)) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(product(a,product(b,c)),bigC(c,b,c))) )],[refute_0_9291,refute_0_10996]) ).

cnf(refute_0_10998,plain,
    ( product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(a,product(b,c))
    | quotient(product(product(a,b),c),bigC(c,b,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),product(a,product(b,c))) ),[0,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_10999,plain,
    ( quotient(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(a,product(b,c))
    | quotient(product(product(a,b),c),bigC(c,b,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,b),c)) )],[refute_0_10997,refute_0_10998]) ).

cnf(refute_0_11000,plain,
    quotient(product(product(a,b),c),bigC(c,b,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),product(a,product(b,c))) )],[refute_0_10995,refute_0_10999]) ).

cnf(refute_0_11001,plain,
    quotient(product(product(a,b),c),bigC(c,b,c)) = quotient(product(product(a,b),c),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,b),c),bigC(c,b,c)))]]) ).

cnf(refute_0_11002,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(product(product(a,b),c),bigC(c,b,c)) != quotient(product(product(a,b),c),bigC(c,b,c))
    | quotient(product(product(a,b),c),bigC(c,b,c)) = quotient(product(product(a,b),c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),c),bigC(c,b,c)),quotient(product(product(a,b),c),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11003,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(product(product(a,b),c),bigC(c,b,c)) = quotient(product(product(a,b),c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(c,b,c)),quotient(product(product(a,b),c),bigC(c,b,c))) )],[refute_0_11001,refute_0_11002]) ).

cnf(refute_0_11004,plain,
    quotient(product(product(a,b),c),bigC(c,b,c)) = quotient(product(product(a,b),c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11003]) ).

cnf(refute_0_11005,plain,
    ( quotient(product(product(a,b),c),bigC(c,b,c)) != product(a,product(b,c))
    | quotient(product(product(a,b),c),bigC(c,b,c)) != quotient(product(product(a,b),c),bigC(b,a,b))
    | quotient(product(product(a,b),c),bigC(b,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),c),bigC(c,b,c)),product(a,product(b,c))) ),[0],$fot(quotient(product(product(a,b),c),bigC(b,a,b)))]]) ).

cnf(refute_0_11006,plain,
    ( quotient(product(product(a,b),c),bigC(c,b,c)) != product(a,product(b,c))
    | quotient(product(product(a,b),c),bigC(b,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(c,b,c)),quotient(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_11004,refute_0_11005]) ).

cnf(refute_0_11007,plain,
    quotient(product(product(a,b),c),bigC(b,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(c,b,c)),product(a,product(b,c))) )],[refute_0_11000,refute_0_11006]) ).

cnf(refute_0_11008,plain,
    quotient(product(product(a,b),c),bigC(b,a,b)) = quotient(product(product(a,b),c),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,b),c),bigC(b,a,b)))]]) ).

cnf(refute_0_11009,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(product(a,b),c),bigC(b,a,b)) != quotient(product(product(a,b),c),bigC(b,a,b))
    | quotient(product(product(a,b),c),bigC(b,a,b)) = quotient(product(c,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),c),bigC(b,a,b)),quotient(product(product(a,b),c),bigC(b,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_11010,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(product(a,b),c),bigC(b,a,b)) = quotient(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(b,a,b)),quotient(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_11008,refute_0_11009]) ).

cnf(refute_0_11011,plain,
    quotient(product(product(a,b),c),bigC(b,a,b)) = quotient(product(c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_11010]) ).

cnf(refute_0_11012,plain,
    ( quotient(product(product(a,b),c),bigC(b,a,b)) != product(a,product(b,c))
    | quotient(product(product(a,b),c),bigC(b,a,b)) != quotient(product(c,product(c,b)),bigC(b,a,b))
    | quotient(product(c,product(c,b)),bigC(b,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),c),bigC(b,a,b)),product(a,product(b,c))) ),[0],$fot(quotient(product(c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_11013,plain,
    ( quotient(product(product(a,b),c),bigC(b,a,b)) != product(a,product(b,c))
    | quotient(product(c,product(c,b)),bigC(b,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(b,a,b)),quotient(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_11011,refute_0_11012]) ).

cnf(refute_0_11014,plain,
    quotient(product(c,product(c,b)),bigC(b,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_11007,refute_0_11013]) ).

cnf(refute_0_11015,plain,
    ( difference(quotient(product(c,product(c,b)),bigC(b,a,b)),product(c,product(c,b))) != bigC(b,a,b)
    | quotient(product(c,product(c,b)),bigC(b,a,b)) != product(a,product(b,c))
    | difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(b,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(c,product(c,b)),bigC(b,a,b)),product(c,product(c,b))),bigC(b,a,b)) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_11016,plain,
    ( difference(quotient(product(c,product(c,b)),bigC(b,a,b)),product(c,product(c,b))) != bigC(b,a,b)
    | difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(b,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_11014,refute_0_11015]) ).

cnf(refute_0_11017,plain,
    difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(difference(quotient(product(c,product(c,b)),bigC(b,a,b)),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_10994,refute_0_11016]) ).

cnf(refute_0_11018,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(b,a,b)
    | difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(a,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(b,a,b)) ),[1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11019,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(b,a,b)
    | difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11018]) ).

cnf(refute_0_11020,plain,
    difference(product(a,product(b,c)),product(c,product(c,b))) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(b,a,b)) )],[refute_0_11017,refute_0_11019]) ).

cnf(refute_0_11021,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(a,b,b)
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(difference(product(a,product(b,c)),product(c,product(c,b))),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),product(difference(product(a,product(b,c)),product(c,product(c,b))),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11022,plain,
    ( difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(difference(product(a,product(b,c)),product(c,product(c,b))),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(a,b,b)) )],[refute_0_11020,refute_0_11021]) ).

cnf(refute_0_11023,plain,
    difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),product(difference(product(a,product(b,c)),product(c,product(c,b))),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) )],[refute_0_10993,refute_0_11022]) ).

cnf(refute_0_11024,plain,
    difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),quotient(product(c,product(c,b)),bigC(b,a,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(c,product(c,b)))),bind(X_20,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_11025,plain,
    ( difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),quotient(product(c,product(c,b)),bigC(b,a,b))))
    | quotient(product(c,product(c,b)),bigC(b,a,b)) != product(a,product(b,c))
    | difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),quotient(product(c,product(c,b)),bigC(b,a,b))))) ),[1,1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_11026,plain,
    ( difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),quotient(product(c,product(c,b)),bigC(b,a,b))))
    | difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_11014,refute_0_11025]) ).

cnf(refute_0_11027,plain,
    difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),quotient(product(c,product(c,b)),bigC(b,a,b))))) )],[refute_0_11024,refute_0_11026]) ).

cnf(refute_0_11028,plain,
    product(product(c,product(c,b)),bigC(b,a,b)) = bigC(c,product(c,b),product(c,b)),
    inference(subst,[],[refute_0_9877:[bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_11029,plain,
    difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_11030,plain,
    ( difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b))
    | product(product(c,product(c,b)),bigC(b,a,b)) != bigC(c,product(c,b),product(c,b))
    | difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b))) ),[1,0],$fot(bigC(c,product(c,b),product(c,b)))]]) ).

cnf(refute_0_11031,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != bigC(c,product(c,b),product(c,b))
    | difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b))) )],[refute_0_11029,refute_0_11030]) ).

cnf(refute_0_11032,plain,
    difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11028,refute_0_11031]) ).

cnf(refute_0_11033,plain,
    ( difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b))
    | difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) ),[0],$fot(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_11034,plain,
    ( difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b))) )],[refute_0_11032,refute_0_11033]) ).

cnf(refute_0_11035,plain,
    difference(product(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(a,product(b,c)))),bind(X_16,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_11036,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) ),[0,0,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_11037,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,b),c)) )],[refute_0_10997,refute_0_11036]) ).

cnf(refute_0_11038,plain,
    difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) )],[refute_0_11035,refute_0_11037]) ).

cnf(refute_0_11039,plain,
    difference(bigC(product(a,b),b,c),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(product(a,b),b,c),bigC(c,b,c)))]]) ).

cnf(refute_0_11040,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(bigC(product(a,b),b,c),bigC(c,b,c)) != difference(bigC(product(a,b),b,c),bigC(c,b,c))
    | difference(bigC(product(a,b),b,c),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(c,b,c)),difference(bigC(product(a,b),b,c),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11041,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(bigC(product(a,b),b,c),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(c,b,c)),difference(bigC(product(a,b),b,c),bigC(c,b,c))) )],[refute_0_11039,refute_0_11040]) ).

cnf(refute_0_11042,plain,
    difference(bigC(product(a,b),b,c),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11041]) ).

cnf(refute_0_11043,plain,
    bigC(product(a,b),c,b) = bigC(product(a,b),b,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,b))),bind(B,$fot(b)),bind(C,$fot(c))]]) ).

cnf(refute_0_11044,plain,
    bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = product(product(difference(X_23,bigC(X_23,X_75,X_23)),X_22),bigC(X_23,X_75,X_23)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(X_23,X_75,X_23)))]]) ).

cnf(refute_0_11045,plain,
    difference(X_23,bigC(X_23,X_75,X_23)) = product(X_75,X_23),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(X_23)),bind(X_37,$fot(X_75))]]) ).

cnf(refute_0_11046,plain,
    ( bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) != product(product(difference(X_23,bigC(X_23,X_75,X_23)),X_22),bigC(X_23,X_75,X_23))
    | difference(X_23,bigC(X_23,X_75,X_23)) != product(X_75,X_23)
    | bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),product(product(difference(X_23,bigC(X_23,X_75,X_23)),X_22),bigC(X_23,X_75,X_23))) ),[1,0,0],$fot(product(X_75,X_23))]]) ).

cnf(refute_0_11047,plain,
    ( bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) != product(product(difference(X_23,bigC(X_23,X_75,X_23)),X_22),bigC(X_23,X_75,X_23))
    | bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)) ),
    inference(resolve,[$cnf( $equal(difference(X_23,bigC(X_23,X_75,X_23)),product(X_75,X_23)) )],[refute_0_11045,refute_0_11046]) ).

cnf(refute_0_11048,plain,
    bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),product(product(difference(X_23,bigC(X_23,X_75,X_23)),X_22),bigC(X_23,X_75,X_23))) )],[refute_0_11044,refute_0_11047]) ).

cnf(refute_0_11049,plain,
    bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),
    introduced(tautology,[refl,[$fot(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23))]]) ).

cnf(refute_0_11050,plain,
    ( bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) != bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23)
    | difference(X_23,bigC(X_23,X_75,X_23)) != product(X_75,X_23)
    | bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = bigC(product(X_75,X_23),X_22,X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23)) ),[1,0],$fot(product(X_75,X_23))]]) ).

cnf(refute_0_11051,plain,
    ( difference(X_23,bigC(X_23,X_75,X_23)) != product(X_75,X_23)
    | bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = bigC(product(X_75,X_23),X_22,X_23) ),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23)) )],[refute_0_11049,refute_0_11050]) ).

cnf(refute_0_11052,plain,
    bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) = bigC(product(X_75,X_23),X_22,X_23),
    inference(resolve,[$cnf( $equal(difference(X_23,bigC(X_23,X_75,X_23)),product(X_75,X_23)) )],[refute_0_11045,refute_0_11051]) ).

cnf(refute_0_11053,plain,
    ( bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) != bigC(product(X_75,X_23),X_22,X_23)
    | bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) != product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))
    | bigC(product(X_75,X_23),X_22,X_23) = product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))) ),[0],$fot(bigC(product(X_75,X_23),X_22,X_23))]]) ).

cnf(refute_0_11054,plain,
    ( bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23) != product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))
    | bigC(product(X_75,X_23),X_22,X_23) = product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),bigC(product(X_75,X_23),X_22,X_23)) )],[refute_0_11052,refute_0_11053]) ).

cnf(refute_0_11055,plain,
    bigC(product(X_75,X_23),X_22,X_23) = product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)),
    inference(resolve,[$cnf( $equal(bigC(difference(X_23,bigC(X_23,X_75,X_23)),X_22,X_23),product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))) )],[refute_0_11048,refute_0_11054]) ).

cnf(refute_0_11056,plain,
    ( bigC(product(X_75,X_23),X_22,X_23) != product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))
    | product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)) = bigC(product(X_75,X_23),X_22,X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(X_75,X_23),X_22,X_23))),bind(Y,$fot(product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))))]]) ).

cnf(refute_0_11057,plain,
    product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23)) = bigC(product(X_75,X_23),X_22,X_23),
    inference(resolve,[$cnf( $equal(bigC(product(X_75,X_23),X_22,X_23),product(product(product(X_75,X_23),X_22),bigC(X_23,X_75,X_23))) )],[refute_0_11055,refute_0_11056]) ).

cnf(refute_0_11058,plain,
    product(product(product(a,b),c),bigC(b,a,b)) = bigC(product(a,b),c,b),
    inference(subst,[],[refute_0_11057:[bind(X_22,$fot(c)),bind(X_23,$fot(b)),bind(X_75,$fot(a))]]) ).

cnf(refute_0_11059,plain,
    ( bigC(product(a,b),c,b) != bigC(product(a,b),b,c)
    | product(product(product(a,b),c),bigC(b,a,b)) != bigC(product(a,b),c,b)
    | product(product(product(a,b),c),bigC(b,a,b)) = bigC(product(a,b),b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),bigC(b,a,b)))),bind(Y,$fot(bigC(product(a,b),c,b))),bind(Z,$fot(bigC(product(a,b),b,c)))]]) ).

cnf(refute_0_11060,plain,
    ( bigC(product(a,b),c,b) != bigC(product(a,b),b,c)
    | product(product(product(a,b),c),bigC(b,a,b)) = bigC(product(a,b),b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(b,a,b)),bigC(product(a,b),c,b)) )],[refute_0_11058,refute_0_11059]) ).

cnf(refute_0_11061,plain,
    product(product(product(a,b),c),bigC(b,a,b)) = bigC(product(a,b),b,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,b),bigC(product(a,b),b,c)) )],[refute_0_11043,refute_0_11060]) ).

cnf(refute_0_11062,plain,
    product(product(product(a,b),c),bigC(c,b,c)) = product(product(product(a,b),c),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),bigC(c,b,c)))]]) ).

cnf(refute_0_11063,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(product(a,b),c),bigC(c,b,c)) != product(product(product(a,b),c),bigC(c,b,c))
    | product(product(product(a,b),c),bigC(c,b,c)) = product(product(product(a,b),c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),bigC(c,b,c)),product(product(product(a,b),c),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11064,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(product(product(a,b),c),bigC(c,b,c)) = product(product(product(a,b),c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(c,b,c)),product(product(product(a,b),c),bigC(c,b,c))) )],[refute_0_11062,refute_0_11063]) ).

cnf(refute_0_11065,plain,
    product(product(product(a,b),c),bigC(c,b,c)) = product(product(product(a,b),c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11064]) ).

cnf(refute_0_11066,plain,
    ( product(product(product(a,b),c),bigC(b,a,b)) != bigC(product(a,b),b,c)
    | product(product(product(a,b),c),bigC(c,b,c)) != product(product(product(a,b),c),bigC(b,a,b))
    | product(product(product(a,b),c),bigC(c,b,c)) = bigC(product(a,b),b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),bigC(c,b,c)))),bind(Y,$fot(product(product(product(a,b),c),bigC(b,a,b)))),bind(Z,$fot(bigC(product(a,b),b,c)))]]) ).

cnf(refute_0_11067,plain,
    ( product(product(product(a,b),c),bigC(b,a,b)) != bigC(product(a,b),b,c)
    | product(product(product(a,b),c),bigC(c,b,c)) = bigC(product(a,b),b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(c,b,c)),product(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_11065,refute_0_11066]) ).

cnf(refute_0_11068,plain,
    product(product(product(a,b),c),bigC(c,b,c)) = bigC(product(a,b),b,c),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(b,a,b)),bigC(product(a,b),b,c)) )],[refute_0_11061,refute_0_11067]) ).

cnf(refute_0_11069,plain,
    difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_11070,plain,
    ( difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) != difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c))
    | product(product(product(a,b),c),bigC(c,b,c)) != bigC(product(a,b),b,c)
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c))) ),[1,0],$fot(bigC(product(a,b),b,c))]]) ).

cnf(refute_0_11071,plain,
    ( product(product(product(a,b),c),bigC(c,b,c)) != bigC(product(a,b),b,c)
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_11069,refute_0_11070]) ).

cnf(refute_0_11072,plain,
    difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(c,b,c)),bigC(product(a,b),b,c)) )],[refute_0_11068,refute_0_11071]) ).

cnf(refute_0_11073,plain,
    ( difference(bigC(product(a,b),b,c),bigC(c,b,c)) != difference(bigC(product(a,b),b,c),bigC(b,a,b))
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) != difference(bigC(product(a,b),b,c),bigC(c,b,c))
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)))),bind(Y,$fot(difference(bigC(product(a,b),b,c),bigC(c,b,c)))),bind(Z,$fot(difference(bigC(product(a,b),b,c),bigC(b,a,b))))]]) ).

cnf(refute_0_11074,plain,
    ( difference(bigC(product(a,b),b,c),bigC(c,b,c)) != difference(bigC(product(a,b),b,c),bigC(b,a,b))
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),difference(bigC(product(a,b),b,c),bigC(c,b,c))) )],[refute_0_11072,refute_0_11073]) ).

cnf(refute_0_11075,plain,
    difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(c,b,c)),difference(bigC(product(a,b),b,c),bigC(b,a,b))) )],[refute_0_11042,refute_0_11074]) ).

cnf(refute_0_11076,plain,
    ( difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) != difference(bigC(product(a,b),b,c),bigC(b,a,b))
    | difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) ),[0],$fot(difference(bigC(product(a,b),b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_11077,plain,
    ( difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),difference(bigC(product(a,b),b,c),bigC(b,a,b))) )],[refute_0_11075,refute_0_11076]) ).

cnf(refute_0_11078,plain,
    product(bigC(c,b,c),product(a,product(b,c))) = product(bigC(c,b,c),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(a,product(b,c))))]]) ).

cnf(refute_0_11079,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(a,product(b,c))) != product(bigC(c,b,c),product(a,product(b,c)))
    | product(bigC(c,b,c),product(a,product(b,c))) = product(bigC(b,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(a,product(b,c))),product(bigC(c,b,c),product(a,product(b,c)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11080,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(a,product(b,c))) = product(bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,product(b,c))),product(bigC(c,b,c),product(a,product(b,c)))) )],[refute_0_11078,refute_0_11079]) ).

cnf(refute_0_11081,plain,
    product(bigC(c,b,c),product(a,product(b,c))) = product(bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11080]) ).

cnf(refute_0_11082,plain,
    product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_11083,plain,
    ( product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) != product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c))))
    | product(bigC(c,b,c),product(a,product(b,c))) != product(bigC(b,a,b),product(a,product(b,c)))
    | product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c))))) ),[1,1],$fot(product(bigC(b,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_11084,plain,
    ( product(bigC(c,b,c),product(a,product(b,c))) != product(bigC(b,a,b),product(a,product(b,c)))
    | product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c))))) )],[refute_0_11082,refute_0_11083]) ).

cnf(refute_0_11085,plain,
    product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(a,product(b,c))),product(bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_11081,refute_0_11084]) ).

cnf(refute_0_11086,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_11087,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11088,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) )],[refute_0_11086,refute_0_11087]) ).

cnf(refute_0_11089,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11088]) ).

cnf(refute_0_11090,plain,
    ( product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) != product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c))))
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))))),bind(Y,$fot(product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))))),bind(Z,$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))))]]) ).

cnf(refute_0_11091,plain,
    ( product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c))))) )],[refute_0_11089,refute_0_11090]) ).

cnf(refute_0_11092,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11085,refute_0_11091]) ).

cnf(refute_0_11093,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) ),[0],$fot(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_11094,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11092,refute_0_11093]) ).

cnf(refute_0_11095,plain,
    ( difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) )],[refute_0_11077,refute_0_11094]) ).

cnf(refute_0_11096,plain,
    difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),product(a,product(b,c))))) )],[refute_0_11038,refute_0_11095]) ).

cnf(refute_0_11097,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(bigC(product(a,b),b,c),bigC(b,a,b)))),bind(Y,$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))))]]) ).

cnf(refute_0_11098,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) = difference(bigC(product(a,b),b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11096,refute_0_11097]) ).

cnf(refute_0_11099,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) != difference(bigC(product(a,b),b,c),bigC(b,a,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),difference(bigC(product(a,b),b,c),bigC(b,a,b))) ),[0],$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_11100,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),difference(bigC(product(a,b),b,c),bigC(b,a,b))) )],[refute_0_11098,refute_0_11099]) ).

cnf(refute_0_11101,plain,
    ( difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11034,refute_0_11100]) ).

cnf(refute_0_11102,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(product(a,b),b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),bigC(b,a,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11027,refute_0_11101]) ).

cnf(refute_0_11103,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) = product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_11104,plain,
    ( product(bigC(b,a,b),product(a,product(b,c))) != bigC(product(b,c),a,product(c,b))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) ),[1,1],$fot(bigC(product(b,c),a,product(c,b)))]]) ).

cnf(refute_0_11105,plain,
    ( product(bigC(b,a,b),product(a,product(b,c))) != bigC(product(b,c),a,product(c,b))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11103,refute_0_11104]) ).

cnf(refute_0_11106,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,product(b,c))),bigC(product(b,c),a,product(c,b))) )],[refute_0_8303,refute_0_11105]) ).

cnf(refute_0_11107,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))) != product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))) ),[0],$fot(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_11108,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c)))),product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))) )],[refute_0_11106,refute_0_11107]) ).

cnf(refute_0_11109,plain,
    difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),product(a,product(b,c))))) )],[refute_0_11096,refute_0_11108]) ).

cnf(refute_0_11110,plain,
    product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) = product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_11111,plain,
    ( bigC(product(b,c),a,product(c,b)) != c
    | product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) != product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))
    | product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))),product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11112,plain,
    ( bigC(product(b,c),a,product(c,b)) != c
    | product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))),product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))) )],[refute_0_11110,refute_0_11111]) ).

cnf(refute_0_11113,plain,
    product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),a,product(c,b)),c) )],[refute_0_8337,refute_0_11112]) ).

cnf(refute_0_11114,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))
    | product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))) != product(bigC(b,a,b),c)
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),c)) ),[0],$fot(product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))))]]) ).

cnf(refute_0_11115,plain,
    ( difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(product(b,c),a,product(c,b))),product(bigC(b,a,b),c)) )],[refute_0_11113,refute_0_11114]) ).

cnf(refute_0_11116,plain,
    difference(bigC(product(a,b),b,c),bigC(b,a,b)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),bigC(product(b,c),a,product(c,b)))) )],[refute_0_11109,refute_0_11115]) ).

cnf(refute_0_11117,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != difference(bigC(product(a,b),b,c),bigC(b,a,b))
    | difference(bigC(product(a,b),b,c),bigC(b,a,b)) != product(bigC(b,a,b),c)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) ),[0],$fot(difference(bigC(product(a,b),b,c),bigC(b,a,b)))]]) ).

cnf(refute_0_11118,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != difference(bigC(product(a,b),b,c),bigC(b,a,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(product(a,b),b,c),bigC(b,a,b)),product(bigC(b,a,b),c)) )],[refute_0_11116,refute_0_11117]) ).

cnf(refute_0_11119,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),difference(bigC(product(a,b),b,c),bigC(b,a,b))) )],[refute_0_11102,refute_0_11118]) ).

cnf(refute_0_11120,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_11121,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11122,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b))) )],[refute_0_11120,refute_0_11121]) ).

cnf(refute_0_11123,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11122]) ).

cnf(refute_0_11124,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),c)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) ),[0],$fot(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_11125,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),c)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b))) )],[refute_0_11123,refute_0_11124]) ).

cnf(refute_0_11126,plain,
    product(bigC(b,a,b),c) = product(bigC(b,a,b),c),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_11127,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),c) != product(bigC(b,a,b),c)
    | product(bigC(b,a,b),c) = product(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),c),product(bigC(b,a,b),c)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11128,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),c) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),product(bigC(b,a,b),c)) )],[refute_0_11126,refute_0_11127]) ).

cnf(refute_0_11129,plain,
    product(bigC(b,a,b),c) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11128]) ).

cnf(refute_0_11130,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) != product(bigC(b,a,b),c)
    | product(bigC(b,a,b),c) != product(bigC(a,b,b),c)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),c)) ),[0],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_11131,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) != product(bigC(b,a,b),c)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),product(bigC(a,b,b),c)) )],[refute_0_11129,refute_0_11130]) ).

cnf(refute_0_11132,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),c)
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),product(bigC(b,a,b),c)) )],[refute_0_11125,refute_0_11131]) ).

cnf(refute_0_11133,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),c)) )],[refute_0_11119,refute_0_11132]) ).

cnf(refute_0_11134,plain,
    bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(product(bigC(a,b,b),product(product(a,c),b)),bigC(a,b,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_11135,plain,
    ( bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != product(product(bigC(a,b,b),product(product(a,c),b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(product(a,c),b)) != product(c,product(c,b))
    | bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(product(c,product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)),product(product(bigC(a,b,b),product(product(a,c),b)),bigC(a,b,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_11136,plain,
    ( bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != product(product(bigC(a,b,b),product(product(a,c),b)),bigC(a,b,b))
    | bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(product(c,product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(a,c),b)),product(c,product(c,b))) )],[refute_0_9314,refute_0_11135]) ).

cnf(refute_0_11137,plain,
    bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(product(c,product(c,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)),product(product(bigC(a,b,b),product(product(a,c),b)),bigC(a,b,b))) )],[refute_0_11134,refute_0_11136]) ).

cnf(refute_0_11138,plain,
    product(product(bigC(a,b,b),c),product(bigC(a,b,b),b)) = product(bigC(a,b,b),product(c,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(bigC(a,b,b))),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_11139,plain,
    product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) = product(product(bigC(a,b,b),c),product(bigC(a,b,b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(c)),bind(C,$fot(bigC(a,b,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_11140,plain,
    ( product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) != product(product(bigC(a,b,b),c),product(bigC(a,b,b),b))
    | product(product(bigC(a,b,b),c),product(bigC(a,b,b),b)) != product(bigC(a,b,b),product(c,b))
    | product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)))),bind(Y,$fot(product(product(bigC(a,b,b),c),product(bigC(a,b,b),b)))),bind(Z,$fot(product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_11141,plain,
    ( product(product(bigC(a,b,b),c),product(bigC(a,b,b),b)) != product(bigC(a,b,b),product(c,b))
    | product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)),product(product(bigC(a,b,b),c),product(bigC(a,b,b),b))) )],[refute_0_11139,refute_0_11140]) ).

cnf(refute_0_11142,plain,
    product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),c),product(bigC(a,b,b),b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_11138,refute_0_11141]) ).

cnf(refute_0_11143,plain,
    bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a)))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(c,b),bigC(c,b,a)))),bind(B,$fot(X_22)),bind(C,$fot(product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_11144,plain,
    ( bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))
    | product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(c,b)
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_11145,plain,
    ( bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(c,b)) )],[refute_0_183,refute_0_11144]) ).

cnf(refute_0_11146,plain,
    bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))) )],[refute_0_11143,refute_0_11145]) ).

cnf(refute_0_11147,plain,
    bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_11148,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) != bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b)))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b)))) ),[1,2],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_11149,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b)))) )],[refute_0_11147,refute_0_11148]) ).

cnf(refute_0_11150,plain,
    bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_11149]) ).

cnf(refute_0_11151,plain,
    bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_11152,plain,
    ( bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b)))
    | product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b)))) ),[1,0],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_11153,plain,
    ( product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b)))) )],[refute_0_11151,refute_0_11152]) ).

cnf(refute_0_11154,plain,
    bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,a)),product(product(c,b),bigC(c,a,b))) )],[refute_0_195,refute_0_11153]) ).

cnf(refute_0_11155,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) != bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b)))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))))),bind(Y,$fot(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))))),bind(Z,$fot(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))))]]) ).

cnf(refute_0_11156,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))) != bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b)))) )],[refute_0_11154,refute_0_11155]) ).

cnf(refute_0_11157,plain,
    bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))) )],[refute_0_11150,refute_0_11156]) ).

cnf(refute_0_11158,plain,
    ( bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))
    | bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))) ),[0],$fot(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11159,plain,
    ( bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))) )],[refute_0_11157,refute_0_11158]) ).

cnf(refute_0_11160,plain,
    product(product(product(c,b),bigC(c,b,a)),X_22) = product(product(product(c,b),bigC(c,b,a)),X_22),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(c,b,a)),X_22))]]) ).

cnf(refute_0_11161,plain,
    ( product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | product(product(product(c,b),bigC(c,b,a)),X_22) != product(product(product(c,b),bigC(c,b,a)),X_22)
    | product(product(product(c,b),bigC(c,b,a)),X_22) = product(product(product(c,b),bigC(c,a,b)),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(c,b),bigC(c,b,a)),X_22)) ),[1,0],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_11162,plain,
    ( product(product(c,b),bigC(c,b,a)) != product(product(c,b),bigC(c,a,b))
    | product(product(product(c,b),bigC(c,b,a)),X_22) = product(product(product(c,b),bigC(c,a,b)),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(c,b),bigC(c,b,a)),X_22)) )],[refute_0_11160,refute_0_11161]) ).

cnf(refute_0_11163,plain,
    product(product(product(c,b),bigC(c,b,a)),X_22) = product(product(product(c,b),bigC(c,a,b)),X_22),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,a)),product(product(c,b),bigC(c,a,b))) )],[refute_0_195,refute_0_11162]) ).

cnf(refute_0_11164,plain,
    product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) = product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)))]]) ).

cnf(refute_0_11165,plain,
    ( product(product(product(c,b),bigC(c,b,a)),X_22) != product(product(product(c,b),bigC(c,a,b)),X_22)
    | product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))
    | product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))) ),[1,0],$fot(product(product(product(c,b),bigC(c,a,b)),X_22))]]) ).

cnf(refute_0_11166,plain,
    ( product(product(product(c,b),bigC(c,b,a)),X_22) != product(product(product(c,b),bigC(c,a,b)),X_22)
    | product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))) )],[refute_0_11164,refute_0_11165]) ).

cnf(refute_0_11167,plain,
    product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,b,a)),X_22),product(product(product(c,b),bigC(c,a,b)),X_22)) )],[refute_0_11163,refute_0_11166]) ).

cnf(refute_0_11168,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))
    | product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) ),[0],$fot(product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)))]]) ).

cnf(refute_0_11169,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) )],[refute_0_11167,refute_0_11168]) ).

cnf(refute_0_11170,plain,
    ( bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))) )],[refute_0_11159,refute_0_11169]) ).

cnf(refute_0_11171,plain,
    bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,b,a)),X_22,product(product(a,b),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),X_22),product(c,b))) )],[refute_0_11146,refute_0_11170]) ).

cnf(refute_0_11172,plain,
    bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11173,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))
    | product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = bigC(bigC(c,b,c),X_22,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_11174,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = bigC(bigC(c,b,c),X_22,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b))) )],[refute_0_11172,refute_0_11173]) ).

cnf(refute_0_11175,plain,
    bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) = bigC(bigC(c,b,c),X_22,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_11174]) ).

cnf(refute_0_11176,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != bigC(bigC(c,b,c),X_22,product(product(a,c),b))
    | bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) ),[0],$fot(bigC(bigC(c,b,c),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11177,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),bigC(bigC(c,b,c),X_22,product(product(a,c),b))) )],[refute_0_11175,refute_0_11176]) ).

cnf(refute_0_11178,plain,
    product(product(product(c,b),bigC(c,a,b)),X_22) = product(product(product(c,b),bigC(c,a,b)),X_22),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(c,a,b)),X_22))]]) ).

cnf(refute_0_11179,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(product(product(c,b),bigC(c,a,b)),X_22) != product(product(product(c,b),bigC(c,a,b)),X_22)
    | product(product(product(c,b),bigC(c,a,b)),X_22) = product(bigC(c,b,c),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),X_22),product(product(product(c,b),bigC(c,a,b)),X_22)) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_11180,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(product(product(c,b),bigC(c,a,b)),X_22) = product(bigC(c,b,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),X_22),product(product(product(c,b),bigC(c,a,b)),X_22)) )],[refute_0_11178,refute_0_11179]) ).

cnf(refute_0_11181,plain,
    product(product(product(c,b),bigC(c,a,b)),X_22) = product(bigC(c,b,c),X_22),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_11180]) ).

cnf(refute_0_11182,plain,
    product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) = product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)))]]) ).

cnf(refute_0_11183,plain,
    ( product(product(product(c,b),bigC(c,a,b)),X_22) != product(bigC(c,b,c),X_22)
    | product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) ),[1,0],$fot(product(bigC(c,b,c),X_22))]]) ).

cnf(refute_0_11184,plain,
    ( product(product(product(c,b),bigC(c,a,b)),X_22) != product(bigC(c,b,c),X_22)
    | product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) )],[refute_0_11182,refute_0_11183]) ).

cnf(refute_0_11185,plain,
    product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) = product(product(bigC(c,b,c),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),X_22),product(bigC(c,b,c),X_22)) )],[refute_0_11181,refute_0_11184]) ).

cnf(refute_0_11186,plain,
    ( bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),product(product(bigC(c,b,c),X_22),product(c,b))) ),[0],$fot(product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)))]]) ).

cnf(refute_0_11187,plain,
    ( bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b)),product(product(bigC(c,b,c),X_22),product(c,b))) )],[refute_0_11185,refute_0_11186]) ).

cnf(refute_0_11188,plain,
    ( bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)) != product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) )],[refute_0_11177,refute_0_11187]) ).

cnf(refute_0_11189,plain,
    bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = product(product(bigC(c,b,c),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),bigC(c,a,b)),X_22,product(product(a,c),b)),product(product(product(product(c,b),bigC(c,a,b)),X_22),product(c,b))) )],[refute_0_11171,refute_0_11188]) ).

cnf(refute_0_11190,plain,
    bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = bigC(bigC(c,b,c),X_22,product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,b,c),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11191,plain,
    ( bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != bigC(bigC(c,b,c),X_22,product(product(a,c),b))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = bigC(bigC(b,a,b),X_22,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),bigC(bigC(c,b,c),X_22,product(product(a,c),b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11192,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = bigC(bigC(b,a,b),X_22,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),bigC(bigC(c,b,c),X_22,product(product(a,c),b))) )],[refute_0_11190,refute_0_11191]) ).

cnf(refute_0_11193,plain,
    bigC(bigC(c,b,c),X_22,product(product(a,c),b)) = bigC(bigC(b,a,b),X_22,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11192]) ).

cnf(refute_0_11194,plain,
    ( bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != bigC(bigC(b,a,b),X_22,product(product(a,c),b))
    | bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),product(product(bigC(c,b,c),X_22),product(c,b))) ),[0],$fot(bigC(bigC(b,a,b),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11195,plain,
    ( bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = product(product(bigC(c,b,c),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),bigC(bigC(b,a,b),X_22,product(product(a,c),b))) )],[refute_0_11193,refute_0_11194]) ).

cnf(refute_0_11196,plain,
    product(bigC(c,b,c),X_22) = product(bigC(c,b,c),X_22),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),X_22))]]) ).

cnf(refute_0_11197,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),X_22) != product(bigC(c,b,c),X_22)
    | product(bigC(c,b,c),X_22) = product(bigC(b,a,b),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),X_22),product(bigC(c,b,c),X_22)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11198,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),X_22) = product(bigC(b,a,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),X_22),product(bigC(c,b,c),X_22)) )],[refute_0_11196,refute_0_11197]) ).

cnf(refute_0_11199,plain,
    product(bigC(c,b,c),X_22) = product(bigC(b,a,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_11198]) ).

cnf(refute_0_11200,plain,
    product(product(bigC(c,b,c),X_22),product(c,b)) = product(product(bigC(c,b,c),X_22),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,c),X_22),product(c,b)))]]) ).

cnf(refute_0_11201,plain,
    ( product(bigC(c,b,c),X_22) != product(bigC(b,a,b),X_22)
    | product(product(bigC(c,b,c),X_22),product(c,b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | product(product(bigC(c,b,c),X_22),product(c,b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,c),X_22),product(c,b)),product(product(bigC(c,b,c),X_22),product(c,b))) ),[1,0],$fot(product(bigC(b,a,b),X_22))]]) ).

cnf(refute_0_11202,plain,
    ( product(bigC(c,b,c),X_22) != product(bigC(b,a,b),X_22)
    | product(product(bigC(c,b,c),X_22),product(c,b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),X_22),product(c,b)),product(product(bigC(c,b,c),X_22),product(c,b))) )],[refute_0_11200,refute_0_11201]) ).

cnf(refute_0_11203,plain,
    product(product(bigC(c,b,c),X_22),product(c,b)) = product(product(bigC(b,a,b),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),X_22),product(bigC(b,a,b),X_22)) )],[refute_0_11199,refute_0_11202]) ).

cnf(refute_0_11204,plain,
    ( bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | product(product(bigC(c,b,c),X_22),product(c,b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),product(product(bigC(b,a,b),X_22),product(c,b))) ),[0],$fot(product(product(bigC(c,b,c),X_22),product(c,b)))]]) ).

cnf(refute_0_11205,plain,
    ( bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),X_22),product(c,b)),product(product(bigC(b,a,b),X_22),product(c,b))) )],[refute_0_11203,refute_0_11204]) ).

cnf(refute_0_11206,plain,
    ( bigC(bigC(c,b,c),X_22,product(product(a,c),b)) != product(product(bigC(c,b,c),X_22),product(c,b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),product(product(bigC(c,b,c),X_22),product(c,b))) )],[refute_0_11195,refute_0_11205]) ).

cnf(refute_0_11207,plain,
    bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = product(product(bigC(b,a,b),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),X_22,product(product(a,c),b)),product(product(bigC(c,b,c),X_22),product(c,b))) )],[refute_0_11189,refute_0_11206]) ).

cnf(refute_0_11208,plain,
    bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = bigC(bigC(b,a,b),X_22,product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,a,b),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11209,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != bigC(bigC(b,a,b),X_22,product(product(a,c),b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = bigC(bigC(a,b,b),X_22,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),bigC(bigC(b,a,b),X_22,product(product(a,c),b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11210,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = bigC(bigC(a,b,b),X_22,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),bigC(bigC(b,a,b),X_22,product(product(a,c),b))) )],[refute_0_11208,refute_0_11209]) ).

cnf(refute_0_11211,plain,
    bigC(bigC(b,a,b),X_22,product(product(a,c),b)) = bigC(bigC(a,b,b),X_22,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11210]) ).

cnf(refute_0_11212,plain,
    ( bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != bigC(bigC(a,b,b),X_22,product(product(a,c),b))
    | bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | bigC(bigC(a,b,b),X_22,product(product(a,c),b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),product(product(bigC(b,a,b),X_22),product(c,b))) ),[0],$fot(bigC(bigC(a,b,b),X_22,product(product(a,c),b)))]]) ).

cnf(refute_0_11213,plain,
    ( bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | bigC(bigC(a,b,b),X_22,product(product(a,c),b)) = product(product(bigC(b,a,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),bigC(bigC(a,b,b),X_22,product(product(a,c),b))) )],[refute_0_11211,refute_0_11212]) ).

cnf(refute_0_11214,plain,
    product(bigC(b,a,b),X_22) = product(bigC(b,a,b),X_22),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),X_22))]]) ).

cnf(refute_0_11215,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),X_22) != product(bigC(b,a,b),X_22)
    | product(bigC(b,a,b),X_22) = product(bigC(a,b,b),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),X_22),product(bigC(b,a,b),X_22)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11216,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),X_22) = product(bigC(a,b,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),X_22),product(bigC(b,a,b),X_22)) )],[refute_0_11214,refute_0_11215]) ).

cnf(refute_0_11217,plain,
    product(bigC(b,a,b),X_22) = product(bigC(a,b,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11216]) ).

cnf(refute_0_11218,plain,
    product(product(bigC(b,a,b),X_22),product(c,b)) = product(product(bigC(b,a,b),X_22),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),X_22),product(c,b)))]]) ).

cnf(refute_0_11219,plain,
    ( product(bigC(b,a,b),X_22) != product(bigC(a,b,b),X_22)
    | product(product(bigC(b,a,b),X_22),product(c,b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | product(product(bigC(b,a,b),X_22),product(c,b)) = product(product(bigC(a,b,b),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),X_22),product(c,b)),product(product(bigC(b,a,b),X_22),product(c,b))) ),[1,0],$fot(product(bigC(a,b,b),X_22))]]) ).

cnf(refute_0_11220,plain,
    ( product(bigC(b,a,b),X_22) != product(bigC(a,b,b),X_22)
    | product(product(bigC(b,a,b),X_22),product(c,b)) = product(product(bigC(a,b,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_22),product(c,b)),product(product(bigC(b,a,b),X_22),product(c,b))) )],[refute_0_11218,refute_0_11219]) ).

cnf(refute_0_11221,plain,
    product(product(bigC(b,a,b),X_22),product(c,b)) = product(product(bigC(a,b,b),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),X_22),product(bigC(a,b,b),X_22)) )],[refute_0_11217,refute_0_11220]) ).

cnf(refute_0_11222,plain,
    ( bigC(bigC(a,b,b),X_22,product(product(a,c),b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | product(product(bigC(b,a,b),X_22),product(c,b)) != product(product(bigC(a,b,b),X_22),product(c,b))
    | bigC(bigC(a,b,b),X_22,product(product(a,c),b)) = product(product(bigC(a,b,b),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,b,b),X_22,product(product(a,c),b)),product(product(bigC(a,b,b),X_22),product(c,b))) ),[0],$fot(product(product(bigC(b,a,b),X_22),product(c,b)))]]) ).

cnf(refute_0_11223,plain,
    ( bigC(bigC(a,b,b),X_22,product(product(a,c),b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | bigC(bigC(a,b,b),X_22,product(product(a,c),b)) = product(product(bigC(a,b,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),X_22),product(c,b)),product(product(bigC(a,b,b),X_22),product(c,b))) )],[refute_0_11221,refute_0_11222]) ).

cnf(refute_0_11224,plain,
    ( bigC(bigC(b,a,b),X_22,product(product(a,c),b)) != product(product(bigC(b,a,b),X_22),product(c,b))
    | bigC(bigC(a,b,b),X_22,product(product(a,c),b)) = product(product(bigC(a,b,b),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),X_22,product(product(a,c),b)),product(product(bigC(b,a,b),X_22),product(c,b))) )],[refute_0_11213,refute_0_11223]) ).

cnf(refute_0_11225,plain,
    bigC(bigC(a,b,b),X_22,product(product(a,c),b)) = product(product(bigC(a,b,b),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),X_22,product(product(a,c),b)),product(product(bigC(b,a,b),X_22),product(c,b))) )],[refute_0_11207,refute_0_11224]) ).

cnf(refute_0_11226,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) = product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)),
    inference(subst,[],[refute_0_11225:[bind(X_22,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_11227,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) != product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b))
    | product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) != product(bigC(a,b,b),product(c,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)))),bind(Y,$fot(product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)))),bind(Z,$fot(product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_11228,plain,
    ( product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)) != product(bigC(a,b,b),product(c,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)),product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b))) )],[refute_0_11226,refute_0_11227]) ).

cnf(refute_0_11229,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),bigC(a,b,b)),product(c,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_11142,refute_0_11228]) ).

cnf(refute_0_11230,plain,
    bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(bigC(a,b,b))),bind(C,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_11231,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) != product(bigC(a,b,b),product(c,b))
    | bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b))
    | bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)))),bind(Y,$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)))),bind(Z,$fot(product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_11232,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)) != product(bigC(a,b,b),product(c,b))
    | bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)),bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b))) )],[refute_0_11230,refute_0_11231]) ).

cnf(refute_0_11233,plain,
    bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(product(a,c),b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_11229,refute_0_11232]) ).

cnf(refute_0_11234,plain,
    ( bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != product(product(c,product(c,b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(c,b)) = product(product(c,product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)),product(product(c,product(c,b)),bigC(a,b,b))) ),[0],$fot(product(bigC(a,b,b),product(c,b)))]]) ).

cnf(refute_0_11235,plain,
    ( bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != product(product(c,product(c,b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(c,b)) = product(product(c,product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_11233,refute_0_11234]) ).

cnf(refute_0_11236,plain,
    product(product(c,X_22),bigC(b,a,b)) = product(product(c,X_22),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(c,X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_11237,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(c,X_22),bigC(b,a,b)) != product(product(c,X_22),bigC(b,a,b))
    | product(product(c,X_22),bigC(b,a,b)) = product(product(c,X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_22),bigC(b,a,b)),product(product(c,X_22),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11238,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(c,X_22),bigC(b,a,b)) = product(product(c,X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),bigC(b,a,b)),product(product(c,X_22),bigC(b,a,b))) )],[refute_0_11236,refute_0_11237]) ).

cnf(refute_0_11239,plain,
    product(product(c,X_22),bigC(b,a,b)) = product(product(c,X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11238]) ).

cnf(refute_0_11240,plain,
    ( bigC(c,X_22,product(c,b)) != product(product(c,X_22),bigC(b,a,b))
    | product(product(c,X_22),bigC(b,a,b)) != product(product(c,X_22),bigC(a,b,b))
    | bigC(c,X_22,product(c,b)) = product(product(c,X_22),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_22,product(c,b)),product(product(c,X_22),bigC(a,b,b))) ),[0],$fot(product(product(c,X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_11241,plain,
    ( bigC(c,X_22,product(c,b)) != product(product(c,X_22),bigC(b,a,b))
    | bigC(c,X_22,product(c,b)) = product(product(c,X_22),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),bigC(b,a,b)),product(product(c,X_22),bigC(a,b,b))) )],[refute_0_11239,refute_0_11240]) ).

cnf(refute_0_11242,plain,
    bigC(c,X_22,product(c,b)) = product(product(c,X_22),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(c,b)),product(product(c,X_22),bigC(b,a,b))) )],[refute_0_9875,refute_0_11241]) ).

cnf(refute_0_11243,plain,
    ( bigC(c,X_22,product(c,b)) != product(product(c,X_22),bigC(a,b,b))
    | product(product(c,X_22),bigC(a,b,b)) = bigC(c,X_22,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,X_22,product(c,b)))),bind(Y,$fot(product(product(c,X_22),bigC(a,b,b))))]]) ).

cnf(refute_0_11244,plain,
    product(product(c,X_22),bigC(a,b,b)) = bigC(c,X_22,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(c,b)),product(product(c,X_22),bigC(a,b,b))) )],[refute_0_11242,refute_0_11243]) ).

cnf(refute_0_11245,plain,
    product(product(c,product(c,b)),bigC(a,b,b)) = bigC(c,product(c,b),product(c,b)),
    inference(subst,[],[refute_0_11244:[bind(X_22,$fot(product(c,b)))]]) ).

cnf(refute_0_11246,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(product(c,product(c,b)),bigC(a,b,b))
    | product(product(c,product(c,b)),bigC(a,b,b)) != bigC(c,product(c,b),product(c,b))
    | product(bigC(a,b,b),product(c,b)) = bigC(c,product(c,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),product(c,b)),bigC(c,product(c,b),product(c,b))) ),[0],$fot(product(product(c,product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_11247,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(product(c,product(c,b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(c,b)) = bigC(c,product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,b,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11245,refute_0_11246]) ).

cnf(refute_0_11248,plain,
    ( bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)) != product(product(c,product(c,b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(c,b)) = bigC(c,product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(product(c,product(c,b)),bigC(a,b,b))) )],[refute_0_11235,refute_0_11247]) ).

cnf(refute_0_11249,plain,
    product(bigC(a,b,b),product(c,b)) = bigC(c,product(c,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(product(a,c),b),bigC(a,b,b)),product(product(c,product(c,b)),bigC(a,b,b))) )],[refute_0_11137,refute_0_11248]) ).

cnf(refute_0_11250,plain,
    ( product(bigC(a,b,b),product(c,b)) != bigC(c,product(c,b),product(c,b))
    | bigC(c,product(c,b),product(c,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,b),product(c,b)))),bind(Y,$fot(bigC(c,product(c,b),product(c,b))))]]) ).

cnf(refute_0_11251,plain,
    bigC(c,product(c,b),product(c,b)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11249,refute_0_11250]) ).

cnf(refute_0_11252,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_11253,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(bigC(a,b,b),product(c,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) != difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b))) ),[1,0],$fot(product(bigC(a,b,b),product(c,b)))]]) ).

cnf(refute_0_11254,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(bigC(a,b,b),product(c,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b))) )],[refute_0_11252,refute_0_11253]) ).

cnf(refute_0_11255,plain,
    difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) = difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_11251,refute_0_11254]) ).

cnf(refute_0_11256,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) != difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b))
    | difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),c)
    | difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),c)) ),[0],$fot(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_11257,plain,
    ( difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),c)
    | difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b))) )],[refute_0_11255,refute_0_11256]) ).

cnf(refute_0_11258,plain,
    difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(difference(bigC(c,product(c,b),product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),c)) )],[refute_0_11133,refute_0_11257]) ).

cnf(refute_0_11259,plain,
    difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_11260,plain,
    ( difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_11261,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b))) )],[refute_0_11259,refute_0_11260]) ).

cnf(refute_0_11262,plain,
    difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_11261]) ).

cnf(refute_0_11263,plain,
    ( difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != difference(product(c,bigC(b,b,c)),bigC(a,b,b))
    | difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),c)
    | difference(product(c,bigC(b,b,c)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),c)) ),[0],$fot(difference(product(c,bigC(b,b,c)),bigC(a,b,b)))]]) ).

cnf(refute_0_11264,plain,
    ( difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),c)
    | difference(product(c,bigC(b,b,c)),bigC(a,b,b)) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),difference(product(c,bigC(b,b,c)),bigC(a,b,b))) )],[refute_0_11262,refute_0_11263]) ).

cnf(refute_0_11265,plain,
    difference(product(c,bigC(b,b,c)),bigC(a,b,b)) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),c)) )],[refute_0_11258,refute_0_11264]) ).

cnf(refute_0_11266,plain,
    difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))))]]) ).

cnf(refute_0_11267,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(a,b,b)
    | difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) != difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b))))
    | difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b))))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11268,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(a,b,b)
    | difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b))))) )],[refute_0_11266,refute_0_11267]) ).

cnf(refute_0_11269,plain,
    difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(a,b,b)) )],[refute_0_11020,refute_0_11268]) ).

cnf(refute_0_11270,plain,
    ( product(bigC(a,b,b),product(c,b)) != bigC(c,product(c,b),product(c,b))
    | product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | product(c,bigC(b,b,c)) = bigC(c,product(c,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),bigC(c,product(c,b),product(c,b))) ),[0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_11271,plain,
    ( product(bigC(a,b,b),product(c,b)) != bigC(c,product(c,b),product(c,b))
    | product(c,bigC(b,b,c)) = bigC(c,product(c,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_11270]) ).

cnf(refute_0_11272,plain,
    product(c,bigC(b,b,c)) = bigC(c,product(c,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11249,refute_0_11271]) ).

cnf(refute_0_11273,plain,
    ( product(c,bigC(b,b,c)) != bigC(c,product(c,b),product(c,b))
    | bigC(c,product(c,b),product(c,b)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(b,b,c)))),bind(Y,$fot(bigC(c,product(c,b),product(c,b))))]]) ).

cnf(refute_0_11274,plain,
    bigC(c,product(c,b),product(c,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,c)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11272,refute_0_11273]) ).

cnf(refute_0_11275,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),bigC(a,b,b)) != bigC(c,product(c,b),product(c,b))
    | product(product(c,product(c,b)),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),bigC(a,b,b)))),bind(Y,$fot(bigC(c,product(c,b),product(c,b)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_11276,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,b,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11245,refute_0_11275]) ).

cnf(refute_0_11277,plain,
    product(product(c,product(c,b)),bigC(a,b,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_11274,refute_0_11276]) ).

cnf(refute_0_11278,plain,
    product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))))]]) ).

cnf(refute_0_11279,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(a,b,b)
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b))))
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(product(c,product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b))))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11280,plain,
    ( difference(product(a,product(b,c)),product(c,product(c,b))) != bigC(a,b,b)
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(product(c,product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b))))) )],[refute_0_11278,refute_0_11279]) ).

cnf(refute_0_11281,plain,
    product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(product(c,product(c,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(c,product(c,b))),bigC(a,b,b)) )],[refute_0_11020,refute_0_11280]) ).

cnf(refute_0_11282,plain,
    ( product(product(c,product(c,b)),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(product(c,product(c,b)),bigC(a,b,b))
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))))),bind(Y,$fot(product(product(c,product(c,b)),bigC(a,b,b)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_11283,plain,
    ( product(product(c,product(c,b)),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),product(product(c,product(c,b)),bigC(a,b,b))) )],[refute_0_11281,refute_0_11282]) ).

cnf(refute_0_11284,plain,
    product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,b,b)),product(c,bigC(b,b,c))) )],[refute_0_11277,refute_0_11283]) ).

cnf(refute_0_11285,plain,
    difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))))]]) ).

cnf(refute_0_11286,plain,
    ( difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b))))
    | product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(c,bigC(b,b,c))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b))))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_11287,plain,
    ( product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(c,bigC(b,b,c))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b))))) )],[refute_0_11285,refute_0_11286]) ).

cnf(refute_0_11288,plain,
    difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),product(c,bigC(b,b,c))) )],[refute_0_11284,refute_0_11287]) ).

cnf(refute_0_11289,plain,
    ( difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) != difference(product(c,bigC(b,b,c)),bigC(a,b,b))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b))))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))))),bind(Y,$fot(difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))))),bind(Z,$fot(difference(product(c,bigC(b,b,c)),bigC(a,b,b))))]]) ).

cnf(refute_0_11290,plain,
    ( difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))) != difference(product(c,bigC(b,b,c)),bigC(a,b,b))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b))))) )],[refute_0_11288,refute_0_11289]) ).

cnf(refute_0_11291,plain,
    difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = difference(product(c,bigC(b,b,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(c,bigC(b,b,c)),bigC(a,b,b))) )],[refute_0_11269,refute_0_11290]) ).

cnf(refute_0_11292,plain,
    ( difference(product(c,bigC(b,b,c)),bigC(a,b,b)) != product(bigC(a,b,b),c)
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != difference(product(c,bigC(b,b,c)),bigC(a,b,b))
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(bigC(a,b,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))))),bind(Y,$fot(difference(product(c,bigC(b,b,c)),bigC(a,b,b)))),bind(Z,$fot(product(bigC(a,b,b),c)))]]) ).

cnf(refute_0_11293,plain,
    ( difference(product(c,bigC(b,b,c)),bigC(a,b,b)) != product(bigC(a,b,b),c)
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(c,bigC(b,b,c)),bigC(a,b,b))) )],[refute_0_11291,refute_0_11292]) ).

cnf(refute_0_11294,plain,
    difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),bigC(a,b,b)),product(bigC(a,b,b),c)) )],[refute_0_11265,refute_0_11293]) ).

cnf(refute_0_11295,plain,
    ( difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(bigC(a,b,b),c)
    | difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | product(bigC(a,b,b),c) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) ),[0],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_11296,plain,
    ( difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | product(bigC(a,b,b),c) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),product(bigC(a,b,b),c)) )],[refute_0_11294,refute_0_11295]) ).

cnf(refute_0_11297,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(c,b),product(b,c)) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(b,c)))),bind(Y,$fot(bigC(c,b,b))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_11298,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(c,b),product(b,c)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_11297]) ).

cnf(refute_0_11299,plain,
    product(product(c,b),product(b,c)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_11298]) ).

cnf(refute_0_11300,plain,
    product(product(c,a),product(product(c,b),product(b,c))) = product(product(c,a),product(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_11301,plain,
    ( product(product(c,a),product(product(c,b),product(b,c))) != product(product(c,a),product(product(c,b),product(b,c)))
    | product(product(c,b),product(b,c)) != bigC(b,b,c)
    | product(product(c,a),product(product(c,b),product(b,c))) = product(product(c,a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(c,b),product(b,c))),product(product(c,a),product(product(c,b),product(b,c)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_11302,plain,
    ( product(product(c,b),product(b,c)) != bigC(b,b,c)
    | product(product(c,a),product(product(c,b),product(b,c))) = product(product(c,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),product(b,c))),product(product(c,a),product(product(c,b),product(b,c)))) )],[refute_0_11300,refute_0_11301]) ).

cnf(refute_0_11303,plain,
    product(product(c,a),product(product(c,b),product(b,c))) = product(product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(b,b,c)) )],[refute_0_11299,refute_0_11302]) ).

cnf(refute_0_11304,plain,
    difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))))]]) ).

cnf(refute_0_11305,plain,
    ( difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) != difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c))))
    | product(product(c,a),product(product(c,b),product(b,c))) != product(product(c,a),bigC(b,b,c))
    | difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))),difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c))))) ),[1,1],$fot(product(product(c,a),bigC(b,b,c)))]]) ).

cnf(refute_0_11306,plain,
    ( product(product(c,a),product(product(c,b),product(b,c))) != product(product(c,a),bigC(b,b,c))
    | difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))),difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c))))) )],[refute_0_11304,refute_0_11305]) ).

cnf(refute_0_11307,plain,
    difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(c,b),product(b,c))),product(product(c,a),bigC(b,b,c))) )],[refute_0_11303,refute_0_11306]) ).

cnf(refute_0_11308,plain,
    difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))),
    inference(subst,[],[refute_0_3844:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(c,b))),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_11309,plain,
    ( difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) != difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c))))
    | difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))),bind(Y,$fot(difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))))),bind(Z,$fot(difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_11310,plain,
    ( difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))),difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c))))) )],[refute_0_11308,refute_0_11309]) ).

cnf(refute_0_11311,plain,
    difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(c,a),product(product(c,b),product(b,c)))),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_11307,refute_0_11310]) ).

cnf(refute_0_11312,plain,
    product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))))]]) ).

cnf(refute_0_11313,plain,
    ( difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) ),[1,1],$fot(difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_11314,plain,
    ( difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) )],[refute_0_11312,refute_0_11313]) ).

cnf(refute_0_11315,plain,
    product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_11311,refute_0_11314]) ).

cnf(refute_0_11316,plain,
    ( product(bigC(a,b,b),c) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))
    | product(bigC(a,b,b),c) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),c),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))) ),[0],$fot(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))))]]) ).

cnf(refute_0_11317,plain,
    ( product(bigC(a,b,b),c) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | product(bigC(a,b,b),c) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c))))),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))) )],[refute_0_11315,refute_0_11316]) ).

cnf(refute_0_11318,plain,
    ( difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))
    | product(bigC(a,b,b),c) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),c),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) )],[refute_0_11296,refute_0_11317]) ).

cnf(refute_0_11319,plain,
    product(bigC(a,b,b),c) = product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(c,b)),difference(product(a,product(b,c)),product(c,product(c,b)))),difference(product(a,product(b,c)),product(c,product(c,b)))),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,product(c,b)),product(a,product(b,c)))))) )],[refute_0_11023,refute_0_11318]) ).

cnf(refute_0_11320,plain,
    ( product(bigC(a,b,b),c) != product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))
    | product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) = product(bigC(a,b,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,b),c))),bind(Y,$fot(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))))]]) ).

cnf(refute_0_11321,plain,
    product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),c),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))) )],[refute_0_11319,refute_0_11320]) ).

cnf(refute_0_11322,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) != product(bigC(a,b,b),c)
    | difference(bigC(a,b,b),product(bigC(a,b,b),c)) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),[0,1],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_11323,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | difference(bigC(a,b,b),product(bigC(a,b,b),c)) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))),product(bigC(a,b,b),c)) )],[refute_0_11321,refute_0_11322]) ).

cnf(refute_0_11324,plain,
    difference(bigC(a,b,b),product(bigC(a,b,b),c)) = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))))),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_10992,refute_0_11323]) ).

cnf(refute_0_11325,plain,
    difference(bigC(a,b,b),product(bigC(a,b,b),c)) = c,
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_11326,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),c)) != c
    | difference(bigC(a,b,b),product(bigC(a,b,b),c)) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | c = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) ),[0],$fot(c)]]) ).

cnf(refute_0_11327,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),c)) != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | c = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),c)),c) )],[refute_0_11325,refute_0_11326]) ).

cnf(refute_0_11328,plain,
    c = difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_11324,refute_0_11327]) ).

cnf(refute_0_11329,plain,
    ( c != difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))
    | difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))))]]) ).

cnf(refute_0_11330,plain,
    difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) = c,
    inference(resolve,[$cnf( $equal(c,difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) )],[refute_0_11328,refute_0_11329]) ).

cnf(refute_0_11331,plain,
    ( difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))) != c
    | product(product(a,product(b,c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) != product(product(c,a),bigC(b,b,c))
    | product(product(a,product(b,c)),c) = product(product(c,a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))),product(product(c,a),bigC(b,b,c))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_11332,plain,
    ( product(product(a,product(b,c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))) != product(product(c,a),bigC(b,b,c))
    | product(product(a,product(b,c)),c) = product(product(c,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c))),c) )],[refute_0_11330,refute_0_11331]) ).

cnf(refute_0_11333,plain,
    product(product(a,product(b,c)),c) = product(product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),difference(product(a,product(b,c)),product(product(c,a),bigC(b,b,c)))),product(product(c,a),bigC(b,b,c))) )],[refute_0_10991,refute_0_11332]) ).

cnf(refute_0_11334,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(a,product(b,c)),c) != product(product(c,a),bigC(b,b,c))
    | bigC(a,b,product(a,b)) = product(product(c,a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(c,a),bigC(b,b,c))) ),[0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_11335,plain,
    ( product(product(a,product(b,c)),c) != product(product(c,a),bigC(b,b,c))
    | bigC(a,b,product(a,b)) = product(product(c,a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_11334]) ).

cnf(refute_0_11336,plain,
    bigC(a,b,product(a,b)) = product(product(c,a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),product(product(c,a),bigC(b,b,c))) )],[refute_0_11333,refute_0_11335]) ).

cnf(refute_0_11337,plain,
    ( bigC(a,b,product(a,b)) != product(product(c,a),bigC(b,b,c))
    | product(product(c,a),bigC(b,b,c)) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(a,b)))),bind(Y,$fot(product(product(c,a),bigC(b,b,c))))]]) ).

cnf(refute_0_11338,plain,
    product(product(c,a),bigC(b,b,c)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,b)),product(product(c,a),bigC(b,b,c))) )],[refute_0_11336,refute_0_11337]) ).

cnf(refute_0_11339,plain,
    bigC(product(c,b),product(c,b),a) = product(product(c,a),bigC(b,b,c)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_11340,plain,
    ( bigC(product(c,b),product(c,b),a) != product(product(c,a),bigC(b,b,c))
    | product(product(c,a),bigC(b,b,c)) != bigC(a,b,product(a,b))
    | bigC(product(c,b),product(c,b),a) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(c,b),a))),bind(Y,$fot(product(product(c,a),bigC(b,b,c)))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_11341,plain,
    ( product(product(c,a),bigC(b,b,c)) != bigC(a,b,product(a,b))
    | bigC(product(c,b),product(c,b),a) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),a),product(product(c,a),bigC(b,b,c))) )],[refute_0_11339,refute_0_11340]) ).

cnf(refute_0_11342,plain,
    bigC(product(c,b),product(c,b),a) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(b,b,c)),bigC(a,b,product(a,b))) )],[refute_0_11338,refute_0_11341]) ).

cnf(refute_0_11343,plain,
    product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))))]]) ).

cnf(refute_0_11344,plain,
    ( bigC(product(c,b),product(c,b),a) != bigC(a,b,product(a,b))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) != product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_11345,plain,
    ( bigC(product(c,b),product(c,b),a) != bigC(a,b,product(a,b))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))) )],[refute_0_11343,refute_0_11344]) ).

cnf(refute_0_11346,plain,
    product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,b),a),bigC(a,b,product(a,b))) )],[refute_0_11342,refute_0_11345]) ).

cnf(refute_0_11347,plain,
    ( product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) != product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) != product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c)))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))))),bind(Z,$fot(product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_11348,plain,
    ( product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))) != product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c)))) )],[refute_0_11346,refute_0_11347]) ).

cnf(refute_0_11349,plain,
    product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),bigC(b,b,product(b,c))),product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))) )],[refute_0_10990,refute_0_11348]) ).

cnf(refute_0_11350,plain,
    ( product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) != product(c,b)
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) != product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_11351,plain,
    ( product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))) != product(c,b)
    | product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c)))) )],[refute_0_11349,refute_0_11350]) ).

cnf(refute_0_11352,plain,
    product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(b,bigC(b,b,c))),product(c,b)) )],[refute_0_10983,refute_0_11351]) ).

cnf(refute_0_11353,plain,
    product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b))) = product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),
    inference(subst,[],[refute_0_674:[bind(A,$fot(a)),bind(B,$fot(product(c,b))),bind(C,$fot(product(b,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_11354,plain,
    product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b))),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(c,b))),bind(B,$fot(b)),bind(C,$fot(product(a,product(b,c)))),bind(X_84,$fot(product(c,b)))]]) ).

cnf(refute_0_11355,plain,
    ( product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) != product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b)))
    | product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b))) != product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))
    | product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))))),bind(Y,$fot(product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b))))),bind(Z,$fot(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))))]]) ).

cnf(refute_0_11356,plain,
    ( product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b))) != product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))
    | product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))),product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b)))) )],[refute_0_11354,refute_0_11355]) ).

cnf(refute_0_11357,plain,
    product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,product(b,c))),bigC(b,b,product(c,b))),product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))) )],[refute_0_11353,refute_0_11356]) ).

cnf(refute_0_11358,plain,
    ( product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) != product(c,b)
    | product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) != product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))
    | product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))))),bind(Y,$fot(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_11359,plain,
    ( product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))) != product(c,b)
    | product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))),product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c)))) )],[refute_0_11357,refute_0_11358]) ).

cnf(refute_0_11360,plain,
    product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(c,b),a),bigC(b,b,product(b,c))),product(c,b)) )],[refute_0_11352,refute_0_11359]) ).

cnf(refute_0_11361,plain,
    ( bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))) != product(c,b)
    | bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)),product(c,b)) ),[0],$fot(product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_11362,plain,
    ( bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b))),product(c,b)) )],[refute_0_11360,refute_0_11361]) ).

cnf(refute_0_11363,plain,
    ( bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))
    | bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)),product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))) )],[refute_0_9146,refute_0_11362]) ).

cnf(refute_0_11364,plain,
    bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))),product(product(product(c,b),b),product(product(a,product(b,c)),product(product(c,b),b)))) )],[refute_0_9143,refute_0_11363]) ).

cnf(refute_0_11365,plain,
    ( bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) != product(c,b)
    | bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b))
    | bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))))),bind(Y,$fot(bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_11366,plain,
    ( bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)) != product(c,b)
    | bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))),bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b))) )],[refute_0_9144,refute_0_11365]) ).

cnf(refute_0_11367,plain,
    bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(c,product(c,b)),product(product(c,b),b)),product(c,b)) )],[refute_0_11364,refute_0_11366]) ).

cnf(refute_0_11368,plain,
    difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))))]]) ).

cnf(refute_0_11369,plain,
    ( bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != product(c,b)
    | difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) != difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))))
    | difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = difference(product(product(c,b),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))),difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_11370,plain,
    ( bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))) != product(c,b)
    | difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = difference(product(product(c,b),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))),difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))))) )],[refute_0_11368,refute_0_11369]) ).

cnf(refute_0_11371,plain,
    difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) = difference(product(product(c,b),b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),b),product(c,product(c,b))),product(c,b)) )],[refute_0_11367,refute_0_11370]) ).

cnf(refute_0_11372,plain,
    ( difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) != difference(product(product(c,b),b),product(c,b))
    | difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) != product(product(a,product(b,c)),product(product(c,b),b))
    | difference(product(product(c,b),b),product(c,b)) = product(product(a,product(b,c)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))),product(product(a,product(b,c)),product(product(c,b),b))) ),[0],$fot(difference(product(product(c,b),b),product(c,b)))]]) ).

cnf(refute_0_11373,plain,
    ( difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) != product(product(a,product(b,c)),product(product(c,b),b))
    | difference(product(product(c,b),b),product(c,b)) = product(product(a,product(b,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))),difference(product(product(c,b),b),product(c,b))) )],[refute_0_11371,refute_0_11372]) ).

cnf(refute_0_11374,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,product(b,c)),product(product(c,b),b))
    | product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,c),b)
    | difference(product(product(c,b),b),product(c,b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,b),b),product(c,b)),product(product(a,c),b)) ),[0],$fot(product(product(a,product(b,c)),product(product(c,b),b)))]]) ).

cnf(refute_0_11375,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,product(b,c)),product(product(c,b),b))
    | difference(product(product(c,b),b),product(c,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),b)),product(product(a,c),b)) )],[refute_0_7868,refute_0_11374]) ).

cnf(refute_0_11376,plain,
    ( difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))) != product(product(a,product(b,c)),product(product(c,b),b))
    | difference(product(product(c,b),b),product(c,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(c,b)),product(product(a,product(b,c)),product(product(c,b),b))) )],[refute_0_11373,refute_0_11375]) ).

cnf(refute_0_11377,plain,
    difference(product(product(c,b),b),product(c,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),bigC(product(c,b),product(product(c,b),b),product(c,product(c,b)))),product(product(a,product(b,c)),product(product(c,b),b))) )],[refute_0_9139,refute_0_11376]) ).

cnf(refute_0_11378,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,c),b)
    | quotient(product(c,b),difference(product(product(c,b),b),product(c,b))) != product(product(c,b),b)
    | quotient(product(c,b),product(product(a,c),b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),difference(product(product(c,b),b),product(c,b))),product(product(c,b),b)) ),[0,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_11379,plain,
    ( quotient(product(c,b),difference(product(product(c,b),b),product(c,b))) != product(product(c,b),b)
    | quotient(product(c,b),product(product(a,c),b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(c,b)),product(product(a,c),b)) )],[refute_0_11377,refute_0_11378]) ).

cnf(refute_0_11380,plain,
    quotient(product(c,b),product(product(a,c),b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(product(product(c,b),b),product(c,b))),product(product(c,b),b)) )],[refute_0_8953,refute_0_11379]) ).

cnf(refute_0_11381,plain,
    ( difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(product(product(a,c),b),quotient(product(c,b),product(product(a,c),b))))
    | quotient(product(c,b),product(product(a,c),b)) != product(product(c,b),b)
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),product(product(product(a,c),b),product(product(product(a,c),b),quotient(product(c,b),product(product(a,c),b))))) ),[1,1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_11382,plain,
    ( difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(product(product(a,c),b),quotient(product(c,b),product(product(a,c),b))))
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(a,c),b)),product(product(c,b),b)) )],[refute_0_11380,refute_0_11381]) ).

cnf(refute_0_11383,plain,
    difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),product(product(product(a,c),b),product(product(product(a,c),b),quotient(product(c,b),product(product(a,c),b))))) )],[refute_0_8952,refute_0_11382]) ).

cnf(refute_0_11384,plain,
    difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = product(difference(product(product(c,b),b),product(c,b)),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(c,b))),bind(X_32,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_11385,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,c),b)
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != product(difference(product(product(c,b),b),product(c,b)),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),product(difference(product(product(c,b),b),product(c,b)),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_11386,plain,
    ( difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != product(difference(product(product(c,b),b),product(c,b)),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(c,b)),product(product(a,c),b)) )],[refute_0_11377,refute_0_11385]) ).

cnf(refute_0_11387,plain,
    difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),product(difference(product(product(c,b),b),product(c,b)),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) )],[refute_0_11384,refute_0_11386]) ).

cnf(refute_0_11388,plain,
    difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))))]]) ).

cnf(refute_0_11389,plain,
    ( difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) != difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b)))
    | difference(product(product(c,b),b),product(c,b)) != product(product(a,c),b)
    | difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))),difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_11390,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,c),b)
    | difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))),difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b)))) )],[refute_0_11388,refute_0_11389]) ).

cnf(refute_0_11391,plain,
    difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(c,b)),product(product(a,c),b)) )],[refute_0_11377,refute_0_11390]) ).

cnf(refute_0_11392,plain,
    product(bigC(c,c,a),product(b,b)) = product(bigC(c,c,a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,a),product(b,b)))]]) ).

cnf(refute_0_11393,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(b,b)) != product(bigC(c,c,a),product(b,b))
    | product(bigC(c,c,a),product(b,b)) = product(bigC(a,a,b),product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,a),product(b,b)),product(bigC(c,c,a),product(b,b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_11394,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(b,b)) = product(bigC(a,a,b),product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(b,b)),product(bigC(c,c,a),product(b,b))) )],[refute_0_11392,refute_0_11393]) ).

cnf(refute_0_11395,plain,
    product(bigC(c,c,a),product(b,b)) = product(bigC(a,a,b),product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_11394]) ).

cnf(refute_0_11396,plain,
    ( product(bigC(a,a,b),product(b,b)) != product(bigC(a,a,b),b)
    | product(bigC(c,c,a),product(b,b)) != product(bigC(a,a,b),product(b,b))
    | product(bigC(c,c,a),product(b,b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,c,a),product(b,b)))),bind(Y,$fot(product(bigC(a,a,b),product(b,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_11397,plain,
    ( product(bigC(a,a,b),product(b,b)) != product(bigC(a,a,b),b)
    | product(bigC(c,c,a),product(b,b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(b,b)),product(bigC(a,a,b),product(b,b))) )],[refute_0_11395,refute_0_11396]) ).

cnf(refute_0_11398,plain,
    product(bigC(c,c,a),product(b,b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,b)),product(bigC(a,a,b),b)) )],[refute_0_10608,refute_0_11397]) ).

cnf(refute_0_11399,plain,
    product(product(c,b),product(product(a,c),b)) = product(bigC(c,c,a),product(b,b)),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(c)),bind(B,$fot(b)),bind(D,$fot(b)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_11400,plain,
    ( product(bigC(c,c,a),product(b,b)) != product(bigC(a,a,b),b)
    | product(product(c,b),product(product(a,c),b)) != product(bigC(c,c,a),product(b,b))
    | product(product(c,b),product(product(a,c),b)) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,c,a),product(b,b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_11401,plain,
    ( product(bigC(c,c,a),product(b,b)) != product(bigC(a,a,b),b)
    | product(product(c,b),product(product(a,c),b)) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(a,c),b)),product(bigC(c,c,a),product(b,b))) )],[refute_0_11399,refute_0_11400]) ).

cnf(refute_0_11402,plain,
    product(product(c,b),product(product(a,c),b)) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(b,b)),product(bigC(a,a,b),b)) )],[refute_0_11398,refute_0_11401]) ).

cnf(refute_0_11403,plain,
    product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(product(c,b),difference(product(product(c,b),b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),difference(product(product(c,b),b),product(c,b))))]]) ).

cnf(refute_0_11404,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,c),b)
    | product(product(c,b),difference(product(product(c,b),b),product(c,b))) != product(product(c,b),difference(product(product(c,b),b),product(c,b)))
    | product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(product(c,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),difference(product(product(c,b),b),product(c,b))),product(product(c,b),difference(product(product(c,b),b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_11405,plain,
    ( difference(product(product(c,b),b),product(c,b)) != product(product(a,c),b)
    | product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(product(c,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(product(c,b),b),product(c,b))),product(product(c,b),difference(product(product(c,b),b),product(c,b)))) )],[refute_0_11403,refute_0_11404]) ).

cnf(refute_0_11406,plain,
    product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(product(c,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(c,b)),product(product(a,c),b)) )],[refute_0_11377,refute_0_11405]) ).

cnf(refute_0_11407,plain,
    ( product(product(c,b),difference(product(product(c,b),b),product(c,b))) != product(product(c,b),product(product(a,c),b))
    | product(product(c,b),product(product(a,c),b)) != product(bigC(a,a,b),b)
    | product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(bigC(a,a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),difference(product(product(c,b),b),product(c,b))))),bind(Y,$fot(product(product(c,b),product(product(a,c),b)))),bind(Z,$fot(product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_11408,plain,
    ( product(product(c,b),product(product(a,c),b)) != product(bigC(a,a,b),b)
    | product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(bigC(a,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(product(c,b),b),product(c,b))),product(product(c,b),product(product(a,c),b))) )],[refute_0_11406,refute_0_11407]) ).

cnf(refute_0_11409,plain,
    product(product(c,b),difference(product(product(c,b),b),product(c,b))) = product(bigC(a,a,b),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(a,c),b)),product(bigC(a,a,b),b)) )],[refute_0_11402,refute_0_11408]) ).

cnf(refute_0_11410,plain,
    difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))))]]) ).

cnf(refute_0_11411,plain,
    ( difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b)))
    | product(product(c,b),difference(product(product(c,b),b),product(c,b))) != product(bigC(a,a,b),b)
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b)))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_11412,plain,
    ( product(product(c,b),difference(product(product(c,b),b),product(c,b))) != product(bigC(a,a,b),b)
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b)))) )],[refute_0_11410,refute_0_11411]) ).

cnf(refute_0_11413,plain,
    difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(product(c,b),b),product(c,b))),product(bigC(a,a,b),b)) )],[refute_0_11409,refute_0_11412]) ).

cnf(refute_0_11414,plain,
    ( difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) != difference(product(bigC(a,a,b),b),product(product(a,c),b))
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b)))
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))))),bind(Y,$fot(difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))))),bind(Z,$fot(difference(product(bigC(a,a,b),b),product(product(a,c),b))))]]) ).

cnf(refute_0_11415,plain,
    ( difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))) != difference(product(bigC(a,a,b),b),product(product(a,c),b))
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b)))) )],[refute_0_11413,refute_0_11414]) ).

cnf(refute_0_11416,plain,
    difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) = difference(product(bigC(a,a,b),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),b),difference(product(product(c,b),b),product(c,b))),difference(product(bigC(a,a,b),b),product(product(a,c),b))) )],[refute_0_11391,refute_0_11415]) ).

cnf(refute_0_11417,plain,
    ( difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != difference(product(bigC(a,a,b),b),product(product(a,c),b))
    | difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | difference(product(bigC(a,a,b),b),product(product(a,c),b)) = product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) ),[0],$fot(difference(product(bigC(a,a,b),b),product(product(a,c),b)))]]) ).

cnf(refute_0_11418,plain,
    ( difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | difference(product(bigC(a,a,b),b),product(product(a,c),b)) = product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),difference(product(bigC(a,a,b),b),product(product(a,c),b))) )],[refute_0_11416,refute_0_11417]) ).

cnf(refute_0_11419,plain,
    product(product(product(a,a),product(c,b)),b) = product(product(product(a,a),product(c,b)),b),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(c,b)),b))]]) ).

cnf(refute_0_11420,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(product(a,a),product(c,b)),b) != product(product(product(a,a),product(c,b)),b)
    | product(product(product(a,a),product(c,b)),b) = product(product(a,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(c,b)),b),product(product(product(a,a),product(c,b)),b)) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_11421,plain,
    ( product(product(a,a),product(c,b)) != product(a,product(c,b))
    | product(product(product(a,a),product(c,b)),b) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(c,b)),b),product(product(product(a,a),product(c,b)),b)) )],[refute_0_11419,refute_0_11420]) ).

cnf(refute_0_11422,plain,
    product(product(product(a,a),product(c,b)),b) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(c,b)),product(a,product(c,b))) )],[refute_0_529,refute_0_11421]) ).

cnf(refute_0_11423,plain,
    product(product(product(a,c),product(a,b)),b) = product(product(product(a,a),product(c,b)),b),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(b)),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_11424,plain,
    ( product(product(product(a,a),product(c,b)),b) != product(product(a,product(c,b)),b)
    | product(product(product(a,c),product(a,b)),b) != product(product(product(a,a),product(c,b)),b)
    | product(product(product(a,c),product(a,b)),b) = product(product(a,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(a,b)),b))),bind(Y,$fot(product(product(product(a,a),product(c,b)),b))),bind(Z,$fot(product(product(a,product(c,b)),b)))]]) ).

cnf(refute_0_11425,plain,
    ( product(product(product(a,a),product(c,b)),b) != product(product(a,product(c,b)),b)
    | product(product(product(a,c),product(a,b)),b) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),b),product(product(product(a,a),product(c,b)),b)) )],[refute_0_11423,refute_0_11424]) ).

cnf(refute_0_11426,plain,
    product(product(product(a,c),product(a,b)),b) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(c,b)),b),product(product(a,product(c,b)),b)) )],[refute_0_11422,refute_0_11425]) ).

cnf(refute_0_11427,plain,
    product(product(product(a,c),b),product(product(a,b),b)) = product(product(product(a,c),product(a,b)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,c))),bind(X_64,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_11428,plain,
    ( product(product(product(a,c),b),product(product(a,b),b)) != product(product(product(a,c),product(a,b)),b)
    | product(product(product(a,c),product(a,b)),b) != product(product(a,product(c,b)),b)
    | product(product(product(a,c),b),product(product(a,b),b)) = product(product(a,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(product(a,b),b)))),bind(Y,$fot(product(product(product(a,c),product(a,b)),b))),bind(Z,$fot(product(product(a,product(c,b)),b)))]]) ).

cnf(refute_0_11429,plain,
    ( product(product(product(a,c),product(a,b)),b) != product(product(a,product(c,b)),b)
    | product(product(product(a,c),b),product(product(a,b),b)) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,b),b)),product(product(product(a,c),product(a,b)),b)) )],[refute_0_11427,refute_0_11428]) ).

cnf(refute_0_11430,plain,
    product(product(product(a,c),b),product(product(a,b),b)) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),b),product(product(a,product(c,b)),b)) )],[refute_0_11426,refute_0_11429]) ).

cnf(refute_0_11431,plain,
    difference(difference(bigC(a,a,c),product(a,b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) = product(product(a,b),b),
    inference(subst,[],[sos01:[bind(A,$fot(difference(bigC(a,a,c),product(a,b)))),bind(B,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_11432,plain,
    ( difference(difference(bigC(a,a,c),product(a,b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) != product(product(a,b),b)
    | product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)) != product(product(bigC(a,a,b),bigC(c,b,b)),b)
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = product(product(a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))),product(product(a,b),b)) ),[0,1],$fot(product(product(bigC(a,a,b),bigC(c,b,b)),b))]]) ).

cnf(refute_0_11433,plain,
    ( difference(difference(bigC(a,a,c),product(a,b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))) != product(product(a,b),b)
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) )],[refute_0_10635,refute_0_11432]) ).

cnf(refute_0_11434,plain,
    difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(difference(bigC(a,a,c),product(a,b)),product(product(a,b),b))),product(product(a,b),b)) )],[refute_0_11431,refute_0_11433]) ).

cnf(refute_0_11435,plain,
    difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)))]]) ).

cnf(refute_0_11436,plain,
    ( difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b))
    | product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(product(c,product(c,b)),b)
    | difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b))) ),[1,1],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_11437,plain,
    ( product(product(bigC(a,a,b),bigC(c,b,b)),b) != product(product(c,product(c,b)),b)
    | difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b))) )],[refute_0_11435,refute_0_11436]) ).

cnf(refute_0_11438,plain,
    difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(c,b,b)),b),product(product(c,product(c,b)),b)) )],[refute_0_10682,refute_0_11437]) ).

cnf(refute_0_11439,plain,
    difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),
    introduced(tautology,[refl,[$fot(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)))]]) ).

cnf(refute_0_11440,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b))
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b))) ),[1,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_11441,plain,
    ( difference(bigC(a,a,c),product(a,b)) != product(product(c,b),b)
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b))) )],[refute_0_11439,refute_0_11440]) ).

cnf(refute_0_11442,plain,
    difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(a,b)),product(product(c,b),b)) )],[refute_0_10645,refute_0_11441]) ).

cnf(refute_0_11443,plain,
    ( difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b))
    | difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != difference(product(product(c,b),b),product(product(c,product(c,b)),b))
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)))),bind(Y,$fot(difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)))),bind(Z,$fot(difference(product(product(c,b),b),product(product(c,product(c,b)),b))))]]) ).

cnf(refute_0_11444,plain,
    ( difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != difference(product(product(c,b),b),product(product(c,product(c,b)),b))
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b))) )],[refute_0_11442,refute_0_11443]) ).

cnf(refute_0_11445,plain,
    difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(product(product(c,b),b),product(product(c,product(c,b)),b))) )],[refute_0_11438,refute_0_11444]) ).

cnf(refute_0_11446,plain,
    ( difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != difference(product(product(c,b),b),product(product(c,product(c,b)),b))
    | difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != product(product(a,b),b)
    | difference(product(product(c,b),b),product(product(c,product(c,b)),b)) = product(product(a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),product(product(a,b),b)) ),[0],$fot(difference(product(product(c,b),b),product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_11447,plain,
    ( difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)) != product(product(a,b),b)
    | difference(product(product(c,b),b),product(product(c,product(c,b)),b)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),difference(product(product(c,b),b),product(product(c,product(c,b)),b))) )],[refute_0_11445,refute_0_11446]) ).

cnf(refute_0_11448,plain,
    difference(product(product(c,b),b),product(product(c,product(c,b)),b)) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(difference(difference(bigC(a,a,c),product(a,b)),product(product(bigC(a,a,b),bigC(c,b,b)),b)),product(product(a,b),b)) )],[refute_0_11434,refute_0_11447]) ).

cnf(refute_0_11449,plain,
    difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))]]) ).

cnf(refute_0_11450,plain,
    ( difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) != difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))
    | product(product(c,b),product(product(c,b),b)) != product(product(c,product(c,b)),b)
    | difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) ),[1,1],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_11451,plain,
    ( product(product(c,b),product(product(c,b),b)) != product(product(c,product(c,b)),b)
    | difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) )],[refute_0_11449,refute_0_11450]) ).

cnf(refute_0_11452,plain,
    difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),b)),product(product(c,product(c,b)),b)) )],[refute_0_10775,refute_0_11451]) ).

cnf(refute_0_11453,plain,
    ( difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) != difference(product(product(c,b),b),product(product(c,product(c,b)),b))
    | difference(product(product(c,b),b),product(product(c,product(c,b)),b)) != product(product(a,b),b)
    | difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = product(product(a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))),bind(Y,$fot(difference(product(product(c,b),b),product(product(c,product(c,b)),b)))),bind(Z,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_11454,plain,
    ( difference(product(product(c,b),b),product(product(c,product(c,b)),b)) != product(product(a,b),b)
    | difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))),difference(product(product(c,b),b),product(product(c,product(c,b)),b))) )],[refute_0_11452,refute_0_11453]) ).

cnf(refute_0_11455,plain,
    difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(c,product(c,b)),b)),product(product(a,b),b)) )],[refute_0_11448,refute_0_11454]) ).

cnf(refute_0_11456,plain,
    product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))))]]) ).

cnf(refute_0_11457,plain,
    ( difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) != product(product(a,b),b)
    | product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) != product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(product(a,c),b),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) ),[1,1],$fot(product(product(a,b),b))]]) ).

cnf(refute_0_11458,plain,
    ( difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))) != product(product(a,b),b)
    | product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(product(a,c),b),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) )],[refute_0_11456,refute_0_11457]) ).

cnf(refute_0_11459,plain,
    product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(product(a,c),b),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))),product(product(a,b),b)) )],[refute_0_11455,refute_0_11458]) ).

cnf(refute_0_11460,plain,
    ( product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) != product(product(product(a,c),b),product(product(a,b),b))
    | product(product(product(a,c),b),product(product(a,b),b)) != product(product(a,product(c,b)),b)
    | product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(a,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))))),bind(Y,$fot(product(product(product(a,c),b),product(product(a,b),b)))),bind(Z,$fot(product(product(a,product(c,b)),b)))]]) ).

cnf(refute_0_11461,plain,
    ( product(product(product(a,c),b),product(product(a,b),b)) != product(product(a,product(c,b)),b)
    | product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),product(product(product(a,c),b),product(product(a,b),b))) )],[refute_0_11459,refute_0_11460]) ).

cnf(refute_0_11462,plain,
    product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,b),b)),product(product(a,product(c,b)),b)) )],[refute_0_11430,refute_0_11461]) ).

cnf(refute_0_11463,plain,
    ( difference(product(bigC(a,a,b),b),product(product(a,c),b)) != product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))) != product(product(a,product(c,b)),b)
    | difference(product(bigC(a,a,b),b),product(product(a,c),b)) = product(product(a,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(a,a,b),b),product(product(a,c),b)),product(product(a,product(c,b)),b)) ),[0],$fot(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))))]]) ).

cnf(refute_0_11464,plain,
    ( difference(product(bigC(a,a,b),b),product(product(a,c),b)) != product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | difference(product(bigC(a,a,b),b),product(product(a,c),b)) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b)))),product(product(a,product(c,b)),b)) )],[refute_0_11462,refute_0_11463]) ).

cnf(refute_0_11465,plain,
    ( difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))) != product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))
    | difference(product(bigC(a,a,b),b),product(product(a,c),b)) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),b),product(product(a,c),b)),product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) )],[refute_0_11418,refute_0_11464]) ).

cnf(refute_0_11466,plain,
    difference(product(bigC(a,a,b),b),product(product(a,c),b)) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),difference(product(product(c,b),b),product(c,b))),difference(product(product(c,b),b),product(c,b))),product(product(product(a,c),b),difference(product(product(c,b),b),product(product(c,b),product(product(c,b),b))))) )],[refute_0_11387,refute_0_11465]) ).

cnf(refute_0_11467,plain,
    difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)))]]) ).

cnf(refute_0_11468,plain,
    ( difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b))
    | product(product(c,b),product(product(a,c),b)) != product(bigC(a,a,b),b)
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = difference(product(bigC(a,a,b),b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b))) ),[1,0],$fot(product(bigC(a,a,b),b))]]) ).

cnf(refute_0_11469,plain,
    ( product(product(c,b),product(product(a,c),b)) != product(bigC(a,a,b),b)
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = difference(product(bigC(a,a,b),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_11467,refute_0_11468]) ).

cnf(refute_0_11470,plain,
    difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = difference(product(bigC(a,a,b),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(a,c),b)),product(bigC(a,a,b),b)) )],[refute_0_11402,refute_0_11469]) ).

cnf(refute_0_11471,plain,
    ( difference(product(bigC(a,a,b),b),product(product(a,c),b)) != product(product(a,product(c,b)),b)
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != difference(product(bigC(a,a,b),b),product(product(a,c),b))
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(a,product(c,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)))),bind(Y,$fot(difference(product(bigC(a,a,b),b),product(product(a,c),b)))),bind(Z,$fot(product(product(a,product(c,b)),b)))]]) ).

cnf(refute_0_11472,plain,
    ( difference(product(bigC(a,a,b),b),product(product(a,c),b)) != product(product(a,product(c,b)),b)
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(a,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),difference(product(bigC(a,a,b),b),product(product(a,c),b))) )],[refute_0_11470,refute_0_11471]) ).

cnf(refute_0_11473,plain,
    difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,b),b),product(product(a,c),b)),product(product(a,product(c,b)),b)) )],[refute_0_11466,refute_0_11472]) ).

cnf(refute_0_11474,plain,
    ( difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(a,product(c,b)),b)
    | difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))
    | product(product(a,product(c,b)),b) = product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))) ),[0],$fot(product(product(a,product(c,b)),b))]]) ).

cnf(refute_0_11475,plain,
    ( difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))
    | product(product(a,product(c,b)),b) = product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),product(product(a,product(c,b)),b)) )],[refute_0_11473,refute_0_11474]) ).

cnf(refute_0_11476,plain,
    product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(a,a,c))),bind(X_64,$fot(product(product(a,c),b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_11477,plain,
    product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_11478,plain,
    ( product(product(a,c),bigC(b,b,c)) != product(bigC(a,a,c),b)
    | product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) != product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b))
    | product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)),product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b))) ),[1,0],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_11479,plain,
    ( product(product(a,c),bigC(b,b,c)) != product(bigC(a,a,c),b)
    | product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)),product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b))) )],[refute_0_11477,refute_0_11478]) ).

cnf(refute_0_11480,plain,
    product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,c)),product(bigC(a,a,c),b)) )],[refute_0_5808,refute_0_11479]) ).

cnf(refute_0_11481,plain,
    ( product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) != product(product(bigC(a,a,c),b),product(product(product(a,c),b),b))
    | product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)))),bind(Y,$fot(product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)))),bind(Z,$fot(product(product(bigC(a,a,c),product(product(a,c),b)),b)))]]) ).

cnf(refute_0_11482,plain,
    ( product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)),product(product(bigC(a,a,c),b),product(product(product(a,c),b),b))) )],[refute_0_11480,refute_0_11481]) ).

cnf(refute_0_11483,plain,
    product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),product(product(product(a,c),b),b)),product(product(bigC(a,a,c),product(product(a,c),b)),b)) )],[refute_0_11476,refute_0_11482]) ).

cnf(refute_0_11484,plain,
    product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,C),product(bigC(product(b,c),b,product(c,b)),b)),
    inference(subst,[],[sos05:[bind(B,$fot(bigC(product(b,c),b,product(c,b)))),bind(D,$fot(b))]]) ).

cnf(refute_0_11485,plain,
    bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),product(product(c,b),b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(product(c,b),b))),bind(X_22,$fot(difference(product(b,product(c,a)),product(b,c))))]]) ).

cnf(refute_0_11486,plain,
    difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = product(difference(product(b,product(c,a)),bigC(a,b,b)),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(bigC(a,b,b))),bind(X_32,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11487,plain,
    difference(product(b,product(c,a)),bigC(b,product(c,a),product(c,b))) = product(product(c,b),b),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(b)),bind(X_22,$fot(product(c,a))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_11488,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | difference(product(b,product(c,a)),bigC(b,product(c,a),product(c,b))) != product(product(c,b),b)
    | difference(product(b,product(c,a)),bigC(b,a,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,product(c,a),product(c,b))),product(product(c,b),b)) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_11489,plain,
    ( difference(product(b,product(c,a)),bigC(b,product(c,a),product(c,b))) != product(product(c,b),b)
    | difference(product(b,product(c,a)),bigC(b,a,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_11488]) ).

cnf(refute_0_11490,plain,
    difference(product(b,product(c,a)),bigC(b,a,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,product(c,a),product(c,b))),product(product(c,b),b)) )],[refute_0_11487,refute_0_11489]) ).

cnf(refute_0_11491,plain,
    difference(product(b,product(c,a)),bigC(b,a,b)) = difference(product(b,product(c,a)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(b,product(c,a)),bigC(b,a,b)))]]) ).

cnf(refute_0_11492,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(b,product(c,a)),bigC(b,a,b)) != difference(product(b,product(c,a)),bigC(b,a,b))
    | difference(product(b,product(c,a)),bigC(b,a,b)) = difference(product(b,product(c,a)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,a,b)),difference(product(b,product(c,a)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11493,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(b,product(c,a)),bigC(b,a,b)) = difference(product(b,product(c,a)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,a,b)),difference(product(b,product(c,a)),bigC(b,a,b))) )],[refute_0_11491,refute_0_11492]) ).

cnf(refute_0_11494,plain,
    difference(product(b,product(c,a)),bigC(b,a,b)) = difference(product(b,product(c,a)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11493]) ).

cnf(refute_0_11495,plain,
    ( difference(product(b,product(c,a)),bigC(b,a,b)) != difference(product(b,product(c,a)),bigC(a,b,b))
    | difference(product(b,product(c,a)),bigC(b,a,b)) != product(product(c,b),b)
    | difference(product(b,product(c,a)),bigC(a,b,b)) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,a,b)),product(product(c,b),b)) ),[0],$fot(difference(product(b,product(c,a)),bigC(a,b,b)))]]) ).

cnf(refute_0_11496,plain,
    ( difference(product(b,product(c,a)),bigC(b,a,b)) != product(product(c,b),b)
    | difference(product(b,product(c,a)),bigC(a,b,b)) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,a,b)),difference(product(b,product(c,a)),bigC(a,b,b))) )],[refute_0_11494,refute_0_11495]) ).

cnf(refute_0_11497,plain,
    difference(product(b,product(c,a)),bigC(a,b,b)) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_11490,refute_0_11496]) ).

cnf(refute_0_11498,plain,
    ( difference(product(b,product(c,a)),bigC(a,b,b)) != product(product(c,b),b)
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != product(difference(product(b,product(c,a)),bigC(a,b,b)),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),product(difference(product(b,product(c,a)),bigC(a,b,b)),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) ),[1,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_11499,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != product(difference(product(b,product(c,a)),bigC(a,b,b)),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(a,b,b)),product(product(c,b),b)) )],[refute_0_11497,refute_0_11498]) ).

cnf(refute_0_11500,plain,
    difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),product(difference(product(b,product(c,a)),bigC(a,b,b)),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) )],[refute_0_11486,refute_0_11499]) ).

cnf(refute_0_11501,plain,
    difference(product(c,b),product(product(c,b),b)) = b,
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(b))]]) ).

cnf(refute_0_11502,plain,
    difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))))]]) ).

cnf(refute_0_11503,plain,
    ( difference(product(b,product(c,a)),bigC(a,b,b)) != product(product(c,b),b)
    | difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) != difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b)))
    | difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b)))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_11504,plain,
    ( difference(product(b,product(c,a)),bigC(a,b,b)) != product(product(c,b),b)
    | difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b)))) )],[refute_0_11502,refute_0_11503]) ).

cnf(refute_0_11505,plain,
    difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(a,b,b)),product(product(c,b),b)) )],[refute_0_11497,refute_0_11504]) ).

cnf(refute_0_11506,plain,
    product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))))]]) ).

cnf(refute_0_11507,plain,
    ( difference(product(b,product(c,a)),bigC(a,b,b)) != product(product(c,b),b)
    | product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) != product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b)))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(bigC(a,b,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b)))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_11508,plain,
    ( difference(product(b,product(c,a)),bigC(a,b,b)) != product(product(c,b),b)
    | product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(bigC(a,b,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b)))) )],[refute_0_11506,refute_0_11507]) ).

cnf(refute_0_11509,plain,
    product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(bigC(a,b,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),bigC(a,b,b)),product(product(c,b),b)) )],[refute_0_11497,refute_0_11508]) ).

cnf(refute_0_11510,plain,
    ( product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) != product(bigC(a,b,b),product(product(c,b),b))
    | product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))))),bind(Y,$fot(product(bigC(a,b,b),product(product(c,b),b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_11511,plain,
    ( product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),product(bigC(a,b,b),product(product(c,b),b))) )],[refute_0_11509,refute_0_11510]) ).

cnf(refute_0_11512,plain,
    product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(c,b),b)),product(c,b)) )],[refute_0_9479,refute_0_11511]) ).

cnf(refute_0_11513,plain,
    difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))))]]) ).

cnf(refute_0_11514,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b)))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) != product(c,b)
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_11515,plain,
    ( product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))) != product(c,b)
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b)))) )],[refute_0_11513,refute_0_11514]) ).

cnf(refute_0_11516,plain,
    difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),product(c,b)) )],[refute_0_11512,refute_0_11515]) ).

cnf(refute_0_11517,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b)))
    | difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) != difference(product(c,b),product(product(c,b),b))
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))))),bind(Y,$fot(difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))))),bind(Z,$fot(difference(product(c,b),product(product(c,b),b))))]]) ).

cnf(refute_0_11518,plain,
    ( difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))) != difference(product(c,b),product(product(c,b),b))
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b)))) )],[refute_0_11516,refute_0_11517]) ).

cnf(refute_0_11519,plain,
    difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = difference(product(c,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(c,b),product(product(c,b),b))) )],[refute_0_11505,refute_0_11518]) ).

cnf(refute_0_11520,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != difference(product(c,b),product(product(c,b),b))
    | difference(product(c,b),product(product(c,b),b)) != b
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = b ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))))),bind(Y,$fot(difference(product(c,b),product(product(c,b),b)))),bind(Z,$fot(b))]]) ).

cnf(refute_0_11521,plain,
    ( difference(product(c,b),product(product(c,b),b)) != b
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = b ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(c,b),product(product(c,b),b))) )],[refute_0_11519,refute_0_11520]) ).

cnf(refute_0_11522,plain,
    difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) = b,
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),b)),b) )],[refute_0_11501,refute_0_11521]) ).

cnf(refute_0_11523,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != b
    | difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | b = product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) ),[0],$fot(b)]]) ).

cnf(refute_0_11524,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | b = product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),b) )],[refute_0_11522,refute_0_11523]) ).

cnf(refute_0_11525,plain,
    product(product(b,b),c) = product(product(b,b),c),
    introduced(tautology,[refl,[$fot(product(product(b,b),c))]]) ).

cnf(refute_0_11526,plain,
    ( product(b,b) != b
    | product(product(b,b),c) != product(product(b,b),c)
    | product(product(b,b),c) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),c),product(product(b,b),c)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_11527,plain,
    ( product(b,b) != b
    | product(product(b,b),c) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),c),product(product(b,b),c)) )],[refute_0_11525,refute_0_11526]) ).

cnf(refute_0_11528,plain,
    product(product(b,b),c) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_11527]) ).

cnf(refute_0_11529,plain,
    bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22),product(b,product(c,a))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(b,product(c,a)))),bind(X_23,$fot(difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_11530,plain,
    difference(quotient(product(b,product(c,a)),product(b,a)),product(b,product(c,a))) = product(b,a),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(b,a))),bind(X_9,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11531,plain,
    ( difference(quotient(product(b,product(c,a)),product(b,a)),product(b,product(c,a))) != product(b,a)
    | quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(b,product(a,c)))
    | difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(b,product(c,a)),product(b,a)),product(b,product(c,a))),product(b,a)) ),[0,0],$fot(difference(product(b,a),product(b,product(a,c))))]]) ).

cnf(refute_0_11532,plain,
    ( difference(quotient(product(b,product(c,a)),product(b,a)),product(b,product(c,a))) != product(b,a)
    | difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2842,refute_0_11531]) ).

cnf(refute_0_11533,plain,
    difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(quotient(product(b,product(c,a)),product(b,a)),product(b,product(c,a))),product(b,a)) )],[refute_0_11530,refute_0_11532]) ).

cnf(refute_0_11534,plain,
    ( bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22),product(b,product(c,a)))
    | difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != product(b,a)
    | bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22),product(b,product(c,a)))) ),[1,0,0],$fot(product(b,a))]]) ).

cnf(refute_0_11535,plain,
    ( bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22),product(b,product(c,a)))
    | bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),product(b,a)) )],[refute_0_11533,refute_0_11534]) ).

cnf(refute_0_11536,plain,
    bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(product(b,a),X_22),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22),product(b,product(c,a)))) )],[refute_0_11529,refute_0_11535]) ).

cnf(refute_0_11537,plain,
    product(product(b,a),b) = bigC(b,a,b),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(b)),bind(X_22,$fot(a))]]) ).

cnf(refute_0_11538,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(b,a),b) != bigC(b,a,b)
    | product(product(b,a),b) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),b))),bind(Y,$fot(bigC(b,a,b))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_11539,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(product(b,a),b) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),b),bigC(b,a,b)) )],[refute_0_11537,refute_0_11538]) ).

cnf(refute_0_11540,plain,
    product(product(b,a),b) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11539]) ).

cnf(refute_0_11541,plain,
    product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),
    introduced(tautology,[refl,[$fot(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b))]]) ).

cnf(refute_0_11542,plain,
    ( difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != product(b,a)
    | product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) != product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b)
    | product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = product(product(b,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_11543,plain,
    ( difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != product(b,a)
    | product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = product(product(b,a),b) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b)) )],[refute_0_11541,refute_0_11542]) ).

cnf(refute_0_11544,plain,
    product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = product(product(b,a),b),
    inference(resolve,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),product(b,a)) )],[refute_0_11533,refute_0_11543]) ).

cnf(refute_0_11545,plain,
    ( product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) != product(product(b,a),b)
    | product(product(b,a),b) != bigC(a,b,b)
    | product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b))),bind(Y,$fot(product(product(b,a),b))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_11546,plain,
    ( product(product(b,a),b) != bigC(a,b,b)
    | product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(product(b,a),b)) )],[refute_0_11544,refute_0_11545]) ).

cnf(refute_0_11547,plain,
    product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(product(product(b,a),b),bigC(a,b,b)) )],[refute_0_11540,refute_0_11546]) ).

cnf(refute_0_11548,plain,
    product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) = product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))))]]) ).

cnf(refute_0_11549,plain,
    ( product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) != bigC(a,b,b)
    | product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) != product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a)))
    | product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) = product(bigC(a,b,b),product(X_22,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))),product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11550,plain,
    ( product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b) != bigC(a,b,b)
    | product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) = product(bigC(a,b,b),product(X_22,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))),product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a)))) )],[refute_0_11548,refute_0_11549]) ).

cnf(refute_0_11551,plain,
    product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) = product(bigC(a,b,b),product(X_22,product(c,a))),
    inference(resolve,[$cnf( $equal(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),bigC(a,b,b)) )],[refute_0_11547,refute_0_11550]) ).

cnf(refute_0_11552,plain,
    bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))),
    inference(subst,[],[refute_0_6268:[bind(X_23,$fot(difference(product(b,a),product(b,product(a,c))))),bind(X_65,$fot(b)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_11553,plain,
    ( bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a)))
    | product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) != product(bigC(a,b,b),product(X_22,product(c,a)))
    | bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(bigC(a,b,b),product(X_22,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))))),bind(Y,$fot(product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))))),bind(Z,$fot(product(bigC(a,b,b),product(X_22,product(c,a)))))]]) ).

cnf(refute_0_11554,plain,
    ( product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))) != product(bigC(a,b,b),product(X_22,product(c,a)))
    | bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(bigC(a,b,b),product(X_22,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a)))) )],[refute_0_11552,refute_0_11553]) ).

cnf(refute_0_11555,plain,
    bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) = product(bigC(a,b,b),product(X_22,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),b),product(X_22,product(c,a))),product(bigC(a,b,b),product(X_22,product(c,a)))) )],[refute_0_11551,refute_0_11554]) ).

cnf(refute_0_11556,plain,
    ( bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(bigC(a,b,b),product(X_22,product(c,a)))
    | bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(bigC(a,b,b),product(X_22,product(c,a))) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(product(b,a),X_22),product(b,product(c,a)))) ),[0],$fot(product(bigC(a,b,b),product(X_22,product(c,a))))]]) ).

cnf(refute_0_11557,plain,
    ( bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(bigC(a,b,b),product(X_22,product(c,a))) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))),product(bigC(a,b,b),product(X_22,product(c,a)))) )],[refute_0_11555,refute_0_11556]) ).

cnf(refute_0_11558,plain,
    bigC(product(b,a),X_22,quotient(product(b,product(c,a)),product(b,a))) = product(product(product(b,a),X_22),product(b,product(c,a))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(b,product(c,a)))),bind(X_21,$fot(product(b,a)))]]) ).

cnf(refute_0_11559,plain,
    ( bigC(product(b,a),X_22,quotient(product(b,product(c,a)),product(b,a))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(b,product(a,c)))
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),X_22,quotient(product(b,product(c,a)),product(b,a))),product(product(product(b,a),X_22),product(b,product(c,a)))) ),[0,2],$fot(difference(product(b,a),product(b,product(a,c))))]]) ).

cnf(refute_0_11560,plain,
    ( bigC(product(b,a),X_22,quotient(product(b,product(c,a)),product(b,a))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2842,refute_0_11559]) ).

cnf(refute_0_11561,plain,
    bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(product(b,a),X_22),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,quotient(product(b,product(c,a)),product(b,a))),product(product(product(b,a),X_22),product(b,product(c,a)))) )],[refute_0_11558,refute_0_11560]) ).

cnf(refute_0_11562,plain,
    product(product(b,X_22),bigC(a,c,b)) = product(product(b,X_22),bigC(a,c,b)),
    introduced(tautology,[refl,[$fot(product(product(b,X_22),bigC(a,c,b)))]]) ).

cnf(refute_0_11563,plain,
    ( bigC(a,c,b) != c
    | product(product(b,X_22),bigC(a,c,b)) != product(product(b,X_22),bigC(a,c,b))
    | product(product(b,X_22),bigC(a,c,b)) = product(product(b,X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,X_22),bigC(a,c,b)),product(product(b,X_22),bigC(a,c,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_11564,plain,
    ( bigC(a,c,b) != c
    | product(product(b,X_22),bigC(a,c,b)) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),bigC(a,c,b)),product(product(b,X_22),bigC(a,c,b))) )],[refute_0_11562,refute_0_11563]) ).

cnf(refute_0_11565,plain,
    product(product(b,X_22),bigC(a,c,b)) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(bigC(a,c,b),c) )],[refute_0_4927,refute_0_11564]) ).

cnf(refute_0_11566,plain,
    product(product(b,product(a,c)),product(X_22,product(b,a))) = product(product(b,X_22),bigC(a,c,b)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_63,$fot(b)),bind(X_64,$fot(X_22))]]) ).

cnf(refute_0_11567,plain,
    bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,product(a,c)),product(X_22,product(b,a))),
    inference(subst,[],[refute_0_777:[bind(B,$fot(product(b,product(a,c)))),bind(X_21,$fot(product(b,a))),bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_11568,plain,
    ( bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(b,product(a,c)),product(X_22,product(b,a)))
    | product(product(b,product(a,c)),product(X_22,product(b,a))) != product(product(b,X_22),bigC(a,c,b))
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,X_22),bigC(a,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))))),bind(Y,$fot(product(product(b,product(a,c)),product(X_22,product(b,a))))),bind(Z,$fot(product(product(b,X_22),bigC(a,c,b))))]]) ).

cnf(refute_0_11569,plain,
    ( product(product(b,product(a,c)),product(X_22,product(b,a))) != product(product(b,X_22),bigC(a,c,b))
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,X_22),bigC(a,c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(b,product(a,c)),product(X_22,product(b,a)))) )],[refute_0_11567,refute_0_11568]) ).

cnf(refute_0_11570,plain,
    bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,X_22),bigC(a,c,b)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_22,product(b,a))),product(product(b,X_22),bigC(a,c,b))) )],[refute_0_11566,refute_0_11569]) ).

cnf(refute_0_11571,plain,
    ( bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(b,X_22),bigC(a,c,b))
    | product(product(b,X_22),bigC(a,c,b)) != product(product(b,X_22),c)
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,X_22),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))))),bind(Y,$fot(product(product(b,X_22),bigC(a,c,b)))),bind(Z,$fot(product(product(b,X_22),c)))]]) ).

cnf(refute_0_11572,plain,
    ( product(product(b,X_22),bigC(a,c,b)) != product(product(b,X_22),c)
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(b,X_22),bigC(a,c,b))) )],[refute_0_11570,refute_0_11571]) ).

cnf(refute_0_11573,plain,
    bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),bigC(a,c,b)),product(product(b,X_22),c)) )],[refute_0_11565,refute_0_11572]) ).

cnf(refute_0_11574,plain,
    ( bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(b,X_22),c)
    | bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(product(b,X_22),c) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(product(b,a),X_22),product(b,product(c,a)))) ),[0],$fot(product(product(b,X_22),c))]]) ).

cnf(refute_0_11575,plain,
    ( bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(product(b,X_22),c) = product(product(product(b,a),X_22),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(b,X_22),c)) )],[refute_0_11573,refute_0_11574]) ).

cnf(refute_0_11576,plain,
    product(bigC(b,a,b),product(X_22,product(c,a))) = bigC(product(b,a),X_22,product(b,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_22)),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_11577,plain,
    product(product(product(b,a),X_22),product(b,product(c,a))) = product(bigC(b,a,b),product(X_22,product(c,a))),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(X_22)),bind(C,$fot(b)),bind(D,$fot(product(c,a))),bind(X_82,$fot(a))]]) ).

cnf(refute_0_11578,plain,
    ( product(bigC(b,a,b),product(X_22,product(c,a))) != bigC(product(b,a),X_22,product(b,c))
    | product(product(product(b,a),X_22),product(b,product(c,a))) != product(bigC(b,a,b),product(X_22,product(c,a)))
    | product(product(product(b,a),X_22),product(b,product(c,a))) = bigC(product(b,a),X_22,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),X_22),product(b,product(c,a))))),bind(Y,$fot(product(bigC(b,a,b),product(X_22,product(c,a))))),bind(Z,$fot(bigC(product(b,a),X_22,product(b,c))))]]) ).

cnf(refute_0_11579,plain,
    ( product(bigC(b,a,b),product(X_22,product(c,a))) != bigC(product(b,a),X_22,product(b,c))
    | product(product(product(b,a),X_22),product(b,product(c,a))) = bigC(product(b,a),X_22,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_22),product(b,product(c,a))),product(bigC(b,a,b),product(X_22,product(c,a)))) )],[refute_0_11577,refute_0_11578]) ).

cnf(refute_0_11580,plain,
    product(product(product(b,a),X_22),product(b,product(c,a))) = bigC(product(b,a),X_22,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_22,product(c,a))),bigC(product(b,a),X_22,product(b,c))) )],[refute_0_11576,refute_0_11579]) ).

cnf(refute_0_11581,plain,
    ( product(product(b,X_22),c) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(product(product(b,a),X_22),product(b,product(c,a))) != bigC(product(b,a),X_22,product(b,c))
    | product(product(b,X_22),c) = bigC(product(b,a),X_22,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,X_22),c),bigC(product(b,a),X_22,product(b,c))) ),[0],$fot(product(product(product(b,a),X_22),product(b,product(c,a))))]]) ).

cnf(refute_0_11582,plain,
    ( product(product(b,X_22),c) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(product(b,X_22),c) = bigC(product(b,a),X_22,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_22),product(b,product(c,a))),bigC(product(b,a),X_22,product(b,c))) )],[refute_0_11580,refute_0_11581]) ).

cnf(refute_0_11583,plain,
    ( bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(product(b,X_22),c) = bigC(product(b,a),X_22,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),c),product(product(product(b,a),X_22),product(b,product(c,a)))) )],[refute_0_11575,refute_0_11582]) ).

cnf(refute_0_11584,plain,
    product(product(b,X_22),c) = bigC(product(b,a),X_22,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(product(b,a),X_22),product(b,product(c,a)))) )],[refute_0_11561,refute_0_11583]) ).

cnf(refute_0_11585,plain,
    ( product(product(b,X_22),c) != bigC(product(b,a),X_22,product(b,c))
    | bigC(product(b,a),X_22,product(b,c)) = product(product(b,X_22),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(b,X_22),c))),bind(Y,$fot(bigC(product(b,a),X_22,product(b,c))))]]) ).

cnf(refute_0_11586,plain,
    bigC(product(b,a),X_22,product(b,c)) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),c),bigC(product(b,a),X_22,product(b,c))) )],[refute_0_11584,refute_0_11585]) ).

cnf(refute_0_11587,plain,
    ( bigC(product(b,a),X_22,product(b,c)) != product(product(b,X_22),c)
    | product(bigC(b,a,b),product(X_22,product(c,a))) != bigC(product(b,a),X_22,product(b,c))
    | product(bigC(b,a,b),product(X_22,product(c,a))) = product(product(b,X_22),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),product(X_22,product(c,a))))),bind(Y,$fot(bigC(product(b,a),X_22,product(b,c)))),bind(Z,$fot(product(product(b,X_22),c)))]]) ).

cnf(refute_0_11588,plain,
    ( bigC(product(b,a),X_22,product(b,c)) != product(product(b,X_22),c)
    | product(bigC(b,a,b),product(X_22,product(c,a))) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_22,product(c,a))),bigC(product(b,a),X_22,product(b,c))) )],[refute_0_11576,refute_0_11587]) ).

cnf(refute_0_11589,plain,
    product(bigC(b,a,b),product(X_22,product(c,a))) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,product(b,c)),product(product(b,X_22),c)) )],[refute_0_11586,refute_0_11588]) ).

cnf(refute_0_11590,plain,
    ( product(bigC(b,a,b),product(X_22,product(c,a))) != product(product(b,X_22),c)
    | product(product(product(b,a),X_22),product(b,product(c,a))) != product(bigC(b,a,b),product(X_22,product(c,a)))
    | product(product(product(b,a),X_22),product(b,product(c,a))) = product(product(b,X_22),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),X_22),product(b,product(c,a))))),bind(Y,$fot(product(bigC(b,a,b),product(X_22,product(c,a))))),bind(Z,$fot(product(product(b,X_22),c)))]]) ).

cnf(refute_0_11591,plain,
    ( product(bigC(b,a,b),product(X_22,product(c,a))) != product(product(b,X_22),c)
    | product(product(product(b,a),X_22),product(b,product(c,a))) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_22),product(b,product(c,a))),product(bigC(b,a,b),product(X_22,product(c,a)))) )],[refute_0_11577,refute_0_11590]) ).

cnf(refute_0_11592,plain,
    product(product(product(b,a),X_22),product(b,product(c,a))) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_22,product(c,a))),product(product(b,X_22),c)) )],[refute_0_11589,refute_0_11591]) ).

cnf(refute_0_11593,plain,
    ( product(bigC(a,b,b),product(X_22,product(c,a))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(product(product(b,a),X_22),product(b,product(c,a))) != product(product(b,X_22),c)
    | product(bigC(a,b,b),product(X_22,product(c,a))) = product(product(b,X_22),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),product(X_22,product(c,a))),product(product(b,X_22),c)) ),[0],$fot(product(product(product(b,a),X_22),product(b,product(c,a))))]]) ).

cnf(refute_0_11594,plain,
    ( product(bigC(a,b,b),product(X_22,product(c,a))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(bigC(a,b,b),product(X_22,product(c,a))) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_22),product(b,product(c,a))),product(product(b,X_22),c)) )],[refute_0_11592,refute_0_11593]) ).

cnf(refute_0_11595,plain,
    ( bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))) != product(product(product(b,a),X_22),product(b,product(c,a)))
    | product(bigC(a,b,b),product(X_22,product(c,a))) = product(product(b,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(X_22,product(c,a))),product(product(product(b,a),X_22),product(b,product(c,a)))) )],[refute_0_11557,refute_0_11594]) ).

cnf(refute_0_11596,plain,
    product(bigC(a,b,b),product(X_22,product(c,a))) = product(product(b,X_22),c),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),X_22,difference(product(b,a),product(b,product(a,c)))),product(product(product(b,a),X_22),product(b,product(c,a)))) )],[refute_0_11536,refute_0_11595]) ).

cnf(refute_0_11597,plain,
    product(bigC(a,b,b),product(b,product(c,a))) = product(product(b,b),c),
    inference(subst,[],[refute_0_11596:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_11598,plain,
    ( product(bigC(a,b,b),product(b,product(c,a))) != product(product(b,b),c)
    | product(product(b,b),c) != product(b,c)
    | product(bigC(a,b,b),product(b,product(c,a))) = product(b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(b,product(c,a))))),bind(Y,$fot(product(product(b,b),c))),bind(Z,$fot(product(b,c)))]]) ).

cnf(refute_0_11599,plain,
    ( product(product(b,b),c) != product(b,c)
    | product(bigC(a,b,b),product(b,product(c,a))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,product(c,a))),product(product(b,b),c)) )],[refute_0_11597,refute_0_11598]) ).

cnf(refute_0_11600,plain,
    product(bigC(a,b,b),product(b,product(c,a))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(b,b),c),product(b,c)) )],[refute_0_11528,refute_0_11599]) ).

cnf(refute_0_11601,plain,
    difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) = difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))),
    introduced(tautology,[refl,[$fot(difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))]]) ).

cnf(refute_0_11602,plain,
    ( difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) != difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))
    | product(bigC(a,b,b),product(b,product(c,a))) != product(b,c)
    | difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) = difference(product(b,product(c,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_11603,plain,
    ( product(bigC(a,b,b),product(b,product(c,a))) != product(b,c)
    | difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) = difference(product(b,product(c,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) )],[refute_0_11601,refute_0_11602]) ).

cnf(refute_0_11604,plain,
    difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) = difference(product(b,product(c,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,product(c,a))),product(b,c)) )],[refute_0_11600,refute_0_11603]) ).

cnf(refute_0_11605,plain,
    product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))))]]) ).

cnf(refute_0_11606,plain,
    ( difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) != difference(product(b,product(c,a)),product(b,c))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) != product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))),product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) ),[1,1],$fot(difference(product(b,product(c,a)),product(b,c)))]]) ).

cnf(refute_0_11607,plain,
    ( difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))) != difference(product(b,product(c,a)),product(b,c))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))),product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) )],[refute_0_11605,refute_0_11606]) ).

cnf(refute_0_11608,plain,
    product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))),difference(product(b,product(c,a)),product(b,c))) )],[refute_0_11604,refute_0_11607]) ).

cnf(refute_0_11609,plain,
    ( b != product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))) != product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))
    | b = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(b,product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))) ),[0],$fot(product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))))]]) ).

cnf(refute_0_11610,plain,
    ( b != product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | b = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a))))),product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))) )],[refute_0_11608,refute_0_11609]) ).

cnf(refute_0_11611,plain,
    ( difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))) != product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))
    | b = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(b,product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) )],[refute_0_11524,refute_0_11610]) ).

cnf(refute_0_11612,plain,
    b = product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(b,product(c,a)),bigC(a,b,b))),difference(product(b,product(c,a)),bigC(a,b,b))),product(product(product(c,b),b),difference(product(b,product(c,a)),product(bigC(a,b,b),product(b,product(c,a)))))) )],[refute_0_11500,refute_0_11611]) ).

cnf(refute_0_11613,plain,
    ( b != product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) = b ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(b)),bind(Y,$fot(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))))]]) ).

cnf(refute_0_11614,plain,
    product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) = b,
    inference(resolve,[$cnf( $equal(b,product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))) )],[refute_0_11612,refute_0_11613]) ).

cnf(refute_0_11615,plain,
    ( bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),product(product(c,b),b))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) != b
    | bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(b,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)),product(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),product(product(c,b),b))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_11616,plain,
    ( bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),product(product(c,b),b))
    | bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(b,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),b) )],[refute_0_11614,refute_0_11615]) ).

cnf(refute_0_11617,plain,
    bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(b,product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)),product(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),product(product(c,b),b))) )],[refute_0_11485,refute_0_11616]) ).

cnf(refute_0_11618,plain,
    product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(a,b,b))),bind(X_64,$fot(difference(product(b,product(c,a)),product(b,c)))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_11619,plain,
    product(bigC(a,b,b),product(b,b)) = product(bigC(a,b,b),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),product(b,b)))]]) ).

cnf(refute_0_11620,plain,
    ( product(b,b) != b
    | product(bigC(a,b,b),product(b,b)) != product(bigC(a,b,b),product(b,b))
    | product(bigC(a,b,b),product(b,b)) = product(bigC(a,b,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),product(b,b)),product(bigC(a,b,b),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_11621,plain,
    ( product(b,b) != b
    | product(bigC(a,b,b),product(b,b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,b)),product(bigC(a,b,b),product(b,b))) )],[refute_0_11619,refute_0_11620]) ).

cnf(refute_0_11622,plain,
    product(bigC(a,b,b),product(b,b)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_11621]) ).

cnf(refute_0_11623,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(bigC(c,b,c),product(b,b)) != product(bigC(c,b,c),product(b,b))
    | product(bigC(c,b,c),product(b,b)) = product(bigC(a,b,b),product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(c,b,c),product(b,b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11624,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(bigC(c,b,c),product(b,b)) = product(bigC(a,b,b),product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(c,b,c),product(b,b))) )],[refute_0_10847,refute_0_11623]) ).

cnf(refute_0_11625,plain,
    product(bigC(c,b,c),product(b,b)) = product(bigC(a,b,b),product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_11624]) ).

cnf(refute_0_11626,plain,
    ( product(bigC(a,b,b),product(b,b)) != product(bigC(a,b,b),b)
    | product(bigC(c,b,c),product(b,b)) != product(bigC(a,b,b),product(b,b))
    | product(bigC(c,b,c),product(b,b)) = product(bigC(a,b,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(b,b)))),bind(Y,$fot(product(bigC(a,b,b),product(b,b)))),bind(Z,$fot(product(bigC(a,b,b),b)))]]) ).

cnf(refute_0_11627,plain,
    ( product(bigC(a,b,b),product(b,b)) != product(bigC(a,b,b),b)
    | product(bigC(c,b,c),product(b,b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(a,b,b),product(b,b))) )],[refute_0_11625,refute_0_11626]) ).

cnf(refute_0_11628,plain,
    product(bigC(c,b,c),product(b,b)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,b)),product(bigC(a,b,b),b)) )],[refute_0_11622,refute_0_11627]) ).

cnf(refute_0_11629,plain,
    ( bigC(product(c,b),b,product(c,b)) != product(bigC(c,b,c),product(b,b))
    | product(bigC(c,b,c),product(b,b)) != product(bigC(a,b,b),b)
    | bigC(product(c,b),b,product(c,b)) = product(bigC(a,b,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),b,product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(b,b)))),bind(Z,$fot(product(bigC(a,b,b),b)))]]) ).

cnf(refute_0_11630,plain,
    ( product(bigC(c,b,c),product(b,b)) != product(bigC(a,b,b),b)
    | bigC(product(c,b),b,product(c,b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(c,b)),product(bigC(c,b,c),product(b,b))) )],[refute_0_10851,refute_0_11629]) ).

cnf(refute_0_11631,plain,
    bigC(product(c,b),b,product(c,b)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(a,b,b),b)) )],[refute_0_11628,refute_0_11630]) ).

cnf(refute_0_11632,plain,
    product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)))]]) ).

cnf(refute_0_11633,plain,
    ( bigC(product(c,b),b,product(c,b)) != product(bigC(a,b,b),b)
    | product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) != product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b))
    | product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)),product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b))) ),[1,0],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_11634,plain,
    ( bigC(product(c,b),b,product(c,b)) != product(bigC(a,b,b),b)
    | product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)),product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b))) )],[refute_0_11632,refute_0_11633]) ).

cnf(refute_0_11635,plain,
    product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),b,product(c,b)),product(bigC(a,b,b),b)) )],[refute_0_11631,refute_0_11634]) ).

cnf(refute_0_11636,plain,
    ( product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) != product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b))
    | product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)) != product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)
    | product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)))),bind(Y,$fot(product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)))),bind(Z,$fot(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)))]]) ).

cnf(refute_0_11637,plain,
    ( product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)) != product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)
    | product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)),product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b))) )],[refute_0_11635,refute_0_11636]) ).

cnf(refute_0_11638,plain,
    product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),b),product(difference(product(b,product(c,a)),product(b,c)),b)),product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)) )],[refute_0_11618,refute_0_11637]) ).

cnf(refute_0_11639,plain,
    bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(product(c,b))),bind(C,$fot(difference(product(b,product(c,a)),product(b,c)))),bind(D,$fot(b))]]) ).

cnf(refute_0_11640,plain,
    ( bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b))
    | product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) != product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)
    | bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)))),bind(Y,$fot(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)))),bind(Z,$fot(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)))]]) ).

cnf(refute_0_11641,plain,
    ( product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)) != product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)
    | bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)),product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b))) )],[refute_0_11639,refute_0_11640]) ).

cnf(refute_0_11642,plain,
    bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),b,product(c,b)),product(difference(product(b,product(c,a)),product(b,c)),b)),product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)) )],[refute_0_11638,refute_0_11641]) ).

cnf(refute_0_11643,plain,
    ( bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(b,product(product(c,b),b))
    | bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(b,product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)),product(b,product(product(c,b),b))) ),[0],$fot(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b))]]) ).

cnf(refute_0_11644,plain,
    ( bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(b,product(product(c,b),b))
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(b,product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)),product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)) )],[refute_0_11642,refute_0_11643]) ).

cnf(refute_0_11645,plain,
    ( product(b,product(product(c,b),b)) != product(bigC(b,b,c),b)
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) != product(b,product(product(c,b),b))
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(b,b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(b,product(product(c,b),b))) ),[1],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_11646,plain,
    ( product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) != product(b,product(product(c,b),b))
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(b,b,c),b) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(c,b),b)),product(bigC(b,b,c),b)) )],[refute_0_10531,refute_0_11645]) ).

cnf(refute_0_11647,plain,
    ( bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)) != product(b,product(product(c,b),b))
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(b,b,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(b,product(product(c,b),b))) )],[refute_0_11644,refute_0_11646]) ).

cnf(refute_0_11648,plain,
    product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(b,b,c),b),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)),product(product(c,b),b)),product(b,product(product(c,b),b))) )],[refute_0_11617,refute_0_11647]) ).

cnf(refute_0_11649,plain,
    bigC(product(b,c),product(c,b),b) = bigC(product(b,c),b,product(c,b)),
    inference(subst,[],[refute_0_8281:[bind(B,$fot(b))]]) ).

cnf(refute_0_11650,plain,
    product(bigC(b,a,b),product(X_23,product(b,c))) = product(bigC(b,a,b),product(X_23,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(X_23,product(b,c))))]]) ).

cnf(refute_0_11651,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(X_23,product(b,c))) != product(bigC(b,a,b),product(X_23,product(b,c)))
    | product(bigC(b,a,b),product(X_23,product(b,c))) = product(bigC(a,b,b),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(b,c))),product(bigC(b,a,b),product(X_23,product(b,c)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_11652,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(X_23,product(b,c))) = product(bigC(a,b,b),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(b,c))),product(bigC(b,a,b),product(X_23,product(b,c)))) )],[refute_0_11650,refute_0_11651]) ).

cnf(refute_0_11653,plain,
    product(bigC(b,a,b),product(X_23,product(b,c))) = product(bigC(a,b,b),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_11652]) ).

cnf(refute_0_11654,plain,
    ( bigC(product(b,c),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,product(b,c)))
    | product(bigC(b,a,b),product(X_23,product(b,c))) != product(bigC(a,b,b),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,b),X_23) = product(bigC(a,b,b),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),product(c,b),X_23),product(bigC(a,b,b),product(X_23,product(b,c)))) ),[0],$fot(product(bigC(b,a,b),product(X_23,product(b,c))))]]) ).

cnf(refute_0_11655,plain,
    ( bigC(product(b,c),product(c,b),X_23) != product(bigC(b,a,b),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,b),X_23) = product(bigC(a,b,b),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,product(b,c))),product(bigC(a,b,b),product(X_23,product(b,c)))) )],[refute_0_11653,refute_0_11654]) ).

cnf(refute_0_11656,plain,
    bigC(product(b,c),product(c,b),X_23) = product(bigC(a,b,b),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,b),X_23),product(bigC(b,a,b),product(X_23,product(b,c)))) )],[refute_0_8297,refute_0_11655]) ).

cnf(refute_0_11657,plain,
    ( bigC(product(b,c),product(c,b),X_23) != product(bigC(a,b,b),product(X_23,product(b,c)))
    | product(bigC(a,b,b),product(X_23,product(b,c))) = bigC(product(b,c),product(c,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,c),product(c,b),X_23))),bind(Y,$fot(product(bigC(a,b,b),product(X_23,product(b,c)))))]]) ).

cnf(refute_0_11658,plain,
    product(bigC(a,b,b),product(X_23,product(b,c))) = bigC(product(b,c),product(c,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,b),X_23),product(bigC(a,b,b),product(X_23,product(b,c)))) )],[refute_0_11656,refute_0_11657]) ).

cnf(refute_0_11659,plain,
    product(bigC(a,b,b),product(b,product(b,c))) = bigC(product(b,c),product(c,b),b),
    inference(subst,[],[refute_0_11658:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_11660,plain,
    ( bigC(product(b,c),product(c,b),b) != bigC(product(b,c),b,product(c,b))
    | product(bigC(a,b,b),product(b,product(b,c))) != bigC(product(b,c),product(c,b),b)
    | product(bigC(a,b,b),product(b,product(b,c))) = bigC(product(b,c),b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(b,product(b,c))))),bind(Y,$fot(bigC(product(b,c),product(c,b),b))),bind(Z,$fot(bigC(product(b,c),b,product(c,b))))]]) ).

cnf(refute_0_11661,plain,
    ( bigC(product(b,c),product(c,b),b) != bigC(product(b,c),b,product(c,b))
    | product(bigC(a,b,b),product(b,product(b,c))) = bigC(product(b,c),b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,product(b,c))),bigC(product(b,c),product(c,b),b)) )],[refute_0_11659,refute_0_11660]) ).

cnf(refute_0_11662,plain,
    product(bigC(a,b,b),product(b,product(b,c))) = bigC(product(b,c),b,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,b),b),bigC(product(b,c),b,product(c,b))) )],[refute_0_11649,refute_0_11661]) ).

cnf(refute_0_11663,plain,
    difference(product(product(c,b),b),product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))) = difference(product(b,product(c,a)),product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(c,b),b))),bind(B,$fot(difference(product(b,product(c,a)),product(b,c))))]]) ).

cnf(refute_0_11664,plain,
    ( difference(product(product(c,b),b),product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))) != difference(product(b,product(c,a)),product(b,c))
    | product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))) != b
    | difference(product(product(c,b),b),b) = difference(product(b,product(c,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))),difference(product(b,product(c,a)),product(b,c))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_11665,plain,
    ( difference(product(product(c,b),b),product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))) != difference(product(b,product(c,a)),product(b,c))
    | difference(product(product(c,b),b),b) = difference(product(b,product(c,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c))),b) )],[refute_0_11614,refute_0_11664]) ).

cnf(refute_0_11666,plain,
    difference(product(product(c,b),b),b) = difference(product(b,product(c,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),product(product(product(c,b),b),difference(product(b,product(c,a)),product(b,c)))),difference(product(b,product(c,a)),product(b,c))) )],[refute_0_11663,refute_0_11665]) ).

cnf(refute_0_11667,plain,
    difference(product(product(c,b),b),b) = product(b,product(b,c)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(c)),bind(X_16,$fot(b))]]) ).

cnf(refute_0_11668,plain,
    ( difference(product(product(c,b),b),b) != difference(product(b,product(c,a)),product(b,c))
    | difference(product(product(c,b),b),b) != product(b,product(b,c))
    | product(b,product(b,c)) = difference(product(b,product(c,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),b),difference(product(b,product(c,a)),product(b,c))) ),[0],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_11669,plain,
    ( difference(product(product(c,b),b),b) != difference(product(b,product(c,a)),product(b,c))
    | product(b,product(b,c)) = difference(product(b,product(c,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),b),product(b,product(b,c))) )],[refute_0_11667,refute_0_11668]) ).

cnf(refute_0_11670,plain,
    product(b,product(b,c)) = difference(product(b,product(c,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),b),difference(product(b,product(c,a)),product(b,c))) )],[refute_0_11666,refute_0_11669]) ).

cnf(refute_0_11671,plain,
    ( product(b,product(b,c)) != difference(product(b,product(c,a)),product(b,c))
    | difference(product(b,product(c,a)),product(b,c)) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(b,c)))),bind(Y,$fot(difference(product(b,product(c,a)),product(b,c))))]]) ).

cnf(refute_0_11672,plain,
    difference(product(b,product(c,a)),product(b,c)) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(b,c)),difference(product(b,product(c,a)),product(b,c))) )],[refute_0_11670,refute_0_11671]) ).

cnf(refute_0_11673,plain,
    product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))))]]) ).

cnf(refute_0_11674,plain,
    ( difference(product(b,product(c,a)),product(b,c)) != product(b,product(b,c))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) != product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c)))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = product(bigC(a,b,b),product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c)))) ),[1,1],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_11675,plain,
    ( difference(product(b,product(c,a)),product(b,c)) != product(b,product(b,c))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = product(bigC(a,b,b),product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c)))) )],[refute_0_11673,refute_0_11674]) ).

cnf(refute_0_11676,plain,
    product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = product(bigC(a,b,b),product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),product(b,c)),product(b,product(b,c))) )],[refute_0_11672,refute_0_11675]) ).

cnf(refute_0_11677,plain,
    ( product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) != product(bigC(a,b,b),product(b,product(b,c)))
    | product(bigC(a,b,b),product(b,product(b,c))) != bigC(product(b,c),b,product(c,b))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = bigC(product(b,c),b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))))),bind(Y,$fot(product(bigC(a,b,b),product(b,product(b,c))))),bind(Z,$fot(bigC(product(b,c),b,product(c,b))))]]) ).

cnf(refute_0_11678,plain,
    ( product(bigC(a,b,b),product(b,product(b,c))) != bigC(product(b,c),b,product(c,b))
    | product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = bigC(product(b,c),b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),product(bigC(a,b,b),product(b,product(b,c)))) )],[refute_0_11676,refute_0_11677]) ).

cnf(refute_0_11679,plain,
    product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) = bigC(product(b,c),b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,product(b,c))),bigC(product(b,c),b,product(c,b))) )],[refute_0_11662,refute_0_11678]) ).

cnf(refute_0_11680,plain,
    product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b))]]) ).

cnf(refute_0_11681,plain,
    ( product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) != bigC(product(b,c),b,product(c,b))
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) != product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(product(b,c),b,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)) ),[1,0],$fot(bigC(product(b,c),b,product(c,b)))]]) ).

cnf(refute_0_11682,plain,
    ( product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))) != bigC(product(b,c),b,product(c,b))
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(product(b,c),b,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b)) )],[refute_0_11680,refute_0_11681]) ).

cnf(refute_0_11683,plain,
    product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) = product(bigC(product(b,c),b,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),bigC(product(b,c),b,product(c,b))) )],[refute_0_11679,refute_0_11682]) ).

cnf(refute_0_11684,plain,
    ( product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) != product(bigC(b,b,c),b)
    | product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) != product(bigC(product(b,c),b,product(c,b)),b)
    | product(bigC(product(b,c),b,product(c,b)),b) = product(bigC(b,b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(bigC(b,b,c),b)) ),[0],$fot(product(bigC(product(b,c),b,product(c,b)),b))]]) ).

cnf(refute_0_11685,plain,
    ( product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b) != product(bigC(b,b,c),b)
    | product(bigC(product(b,c),b,product(c,b)),b) = product(bigC(b,b,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(bigC(product(b,c),b,product(c,b)),b)) )],[refute_0_11683,refute_0_11684]) ).

cnf(refute_0_11686,plain,
    product(bigC(product(b,c),b,product(c,b)),b) = product(bigC(b,b,c),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),difference(product(b,product(c,a)),product(b,c))),b),product(bigC(b,b,c),b)) )],[refute_0_11648,refute_0_11685]) ).

cnf(refute_0_11687,plain,
    ( product(bigC(product(b,c),b,product(c,b)),b) != product(bigC(b,b,c),b)
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) != product(product(A,C),product(bigC(product(b,c),b,product(c,b)),b))
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,C),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,C),product(bigC(product(b,c),b,product(c,b)),b))) ),[1,1],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_11688,plain,
    ( product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) != product(product(A,C),product(bigC(product(b,c),b,product(c,b)),b))
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),b,product(c,b)),b),product(bigC(b,b,c),b)) )],[refute_0_11686,refute_0_11687]) ).

cnf(refute_0_11689,plain,
    product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,C),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,C),product(bigC(product(b,c),b,product(c,b)),b))) )],[refute_0_11484,refute_0_11688]) ).

cnf(refute_0_11690,plain,
    quotient(product(bigC(product(b,c),b,product(c,b)),b),b) = bigC(product(b,c),b,product(c,b)),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(product(b,c),b,product(c,b)))),bind(B,$fot(b))]]) ).

cnf(refute_0_11691,plain,
    ( product(bigC(product(b,c),b,product(c,b)),b) != product(bigC(b,b,c),b)
    | quotient(product(bigC(product(b,c),b,product(c,b)),b),b) != bigC(product(b,c),b,product(c,b))
    | quotient(product(bigC(b,b,c),b),b) = bigC(product(b,c),b,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(b,c),b,product(c,b)),b),b),bigC(product(b,c),b,product(c,b))) ),[0,0],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_11692,plain,
    ( quotient(product(bigC(product(b,c),b,product(c,b)),b),b) != bigC(product(b,c),b,product(c,b))
    | quotient(product(bigC(b,b,c),b),b) = bigC(product(b,c),b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(b,c),b,product(c,b)),b),product(bigC(b,b,c),b)) )],[refute_0_11686,refute_0_11691]) ).

cnf(refute_0_11693,plain,
    quotient(product(bigC(b,b,c),b),b) = bigC(product(b,c),b,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(b,c),b,product(c,b)),b),b),bigC(product(b,c),b,product(c,b))) )],[refute_0_11690,refute_0_11692]) ).

cnf(refute_0_11694,plain,
    quotient(product(bigC(b,b,c),b),b) = bigC(b,b,c),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(b))]]) ).

cnf(refute_0_11695,plain,
    ( quotient(product(bigC(b,b,c),b),b) != bigC(b,b,c)
    | quotient(product(bigC(b,b,c),b),b) != bigC(product(b,c),b,product(c,b))
    | bigC(b,b,c) = bigC(product(b,c),b,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,b,c),b),b),bigC(product(b,c),b,product(c,b))) ),[0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_11696,plain,
    ( quotient(product(bigC(b,b,c),b),b) != bigC(product(b,c),b,product(c,b))
    | bigC(b,b,c) = bigC(product(b,c),b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),b),bigC(b,b,c)) )],[refute_0_11694,refute_0_11695]) ).

cnf(refute_0_11697,plain,
    bigC(b,b,c) = bigC(product(b,c),b,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),b),b),bigC(product(b,c),b,product(c,b))) )],[refute_0_11693,refute_0_11696]) ).

cnf(refute_0_11698,plain,
    ( bigC(b,b,c) != bigC(product(b,c),b,product(c,b))
    | bigC(product(b,c),b,product(c,b)) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,c))),bind(Y,$fot(bigC(product(b,c),b,product(c,b))))]]) ).

cnf(refute_0_11699,plain,
    bigC(product(b,c),b,product(c,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(b,b,c),bigC(product(b,c),b,product(c,b))) )],[refute_0_11697,refute_0_11698]) ).

cnf(refute_0_11700,plain,
    product(A,bigC(product(b,c),b,product(c,b))) = product(A,bigC(product(b,c),b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(A,bigC(product(b,c),b,product(c,b))))]]) ).

cnf(refute_0_11701,plain,
    ( bigC(product(b,c),b,product(c,b)) != bigC(b,b,c)
    | product(A,bigC(product(b,c),b,product(c,b))) != product(A,bigC(product(b,c),b,product(c,b)))
    | product(A,bigC(product(b,c),b,product(c,b))) = product(A,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,bigC(product(b,c),b,product(c,b))),product(A,bigC(product(b,c),b,product(c,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_11702,plain,
    ( bigC(product(b,c),b,product(c,b)) != bigC(b,b,c)
    | product(A,bigC(product(b,c),b,product(c,b))) = product(A,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(A,bigC(product(b,c),b,product(c,b))),product(A,bigC(product(b,c),b,product(c,b)))) )],[refute_0_11700,refute_0_11701]) ).

cnf(refute_0_11703,plain,
    product(A,bigC(product(b,c),b,product(c,b))) = product(A,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),b,product(c,b)),bigC(b,b,c)) )],[refute_0_11699,refute_0_11702]) ).

cnf(refute_0_11704,plain,
    product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)))]]) ).

cnf(refute_0_11705,plain,
    ( product(A,bigC(product(b,c),b,product(c,b))) != product(A,bigC(b,b,c))
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) != product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b))
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,bigC(b,b,c)),product(C,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b))) ),[1,0],$fot(product(A,bigC(b,b,c)))]]) ).

cnf(refute_0_11706,plain,
    ( product(A,bigC(product(b,c),b,product(c,b))) != product(A,bigC(b,b,c))
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,bigC(b,b,c)),product(C,b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b))) )],[refute_0_11704,refute_0_11705]) ).

cnf(refute_0_11707,plain,
    product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) = product(product(A,bigC(b,b,c)),product(C,b)),
    inference(resolve,[$cnf( $equal(product(A,bigC(product(b,c),b,product(c,b))),product(A,bigC(b,b,c))) )],[refute_0_11703,refute_0_11706]) ).

cnf(refute_0_11708,plain,
    ( product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) != product(product(A,C),product(bigC(b,b,c),b))
    | product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) != product(product(A,bigC(b,b,c)),product(C,b))
    | product(product(A,bigC(b,b,c)),product(C,b)) = product(product(A,C),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,C),product(bigC(b,b,c),b))) ),[0],$fot(product(product(A,bigC(b,b,c)),product(C,b)))]]) ).

cnf(refute_0_11709,plain,
    ( product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)) != product(product(A,C),product(bigC(b,b,c),b))
    | product(product(A,bigC(b,b,c)),product(C,b)) = product(product(A,C),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,bigC(b,b,c)),product(C,b))) )],[refute_0_11707,refute_0_11708]) ).

cnf(refute_0_11710,plain,
    product(product(A,bigC(b,b,c)),product(C,b)) = product(product(A,C),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(product(b,c),b,product(c,b))),product(C,b)),product(product(A,C),product(bigC(b,b,c),b))) )],[refute_0_11689,refute_0_11709]) ).

cnf(refute_0_11711,plain,
    ( product(product(A,bigC(b,b,c)),product(C,b)) != product(product(A,C),product(bigC(b,b,c),b))
    | product(product(A,C),product(bigC(b,b,c),b)) = product(product(A,bigC(b,b,c)),product(C,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,bigC(b,b,c)),product(C,b)))),bind(Y,$fot(product(product(A,C),product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_11712,plain,
    product(product(A,C),product(bigC(b,b,c),b)) = product(product(A,bigC(b,b,c)),product(C,b)),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,b)),product(product(A,C),product(bigC(b,b,c),b))) )],[refute_0_11710,refute_0_11711]) ).

cnf(refute_0_11713,plain,
    product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) = product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)),
    inference(subst,[],[refute_0_11712:[bind(A,$fot(product(a,c))),bind(C,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_11714,plain,
    ( product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) != product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b))
    | product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)))),bind(Y,$fot(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)))),bind(Z,$fot(product(product(bigC(a,a,c),product(product(a,c),b)),b)))]]) ).

cnf(refute_0_11715,plain,
    ( product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)),product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b))) )],[refute_0_11713,refute_0_11714]) ).

cnf(refute_0_11716,plain,
    product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) = product(product(bigC(a,a,c),product(product(a,c),b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),bigC(b,b,c)),product(product(product(a,c),b),b)),product(product(bigC(a,a,c),product(product(a,c),b)),b)) )],[refute_0_11483,refute_0_11715]) ).

cnf(refute_0_11717,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))))]]) ).

cnf(refute_0_11718,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) != product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b)))
    | product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))),product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b)))) ),[1,1],$fot(product(bigC(b,b,c),b))]]) ).

cnf(refute_0_11719,plain,
    ( bigC(b,b,product(c,b)) != product(bigC(b,b,c),b)
    | product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))),product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b)))) )],[refute_0_11717,refute_0_11718]) ).

cnf(refute_0_11720,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(c,b)),product(bigC(b,b,c),b)) )],[refute_0_10527,refute_0_11719]) ).

cnf(refute_0_11721,plain,
    ( product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) != product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b))
    | product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))))),bind(Y,$fot(product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)))),bind(Z,$fot(product(product(bigC(a,a,c),product(product(a,c),b)),b)))]]) ).

cnf(refute_0_11722,plain,
    ( product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))),product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b))) )],[refute_0_11720,refute_0_11721]) ).

cnf(refute_0_11723,plain,
    product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) = product(product(bigC(a,a,c),product(product(a,c),b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),product(bigC(b,b,c),b)),product(product(bigC(a,a,c),product(product(a,c),b)),b)) )],[refute_0_11716,refute_0_11722]) ).

cnf(refute_0_11724,plain,
    product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) = product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(product(product(a,c),b))),bind(X_84,$fot(product(c,b)))]]) ).

cnf(refute_0_11725,plain,
    ( product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) != product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b)))
    | product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))))),bind(Y,$fot(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))))),bind(Z,$fot(product(product(bigC(a,a,c),product(product(a,c),b)),b)))]]) ).

cnf(refute_0_11726,plain,
    ( product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))),product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b)))) )],[refute_0_11724,refute_0_11725]) ).

cnf(refute_0_11727,plain,
    product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) = product(product(bigC(a,a,c),product(product(a,c),b)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(a,c),b)),bigC(b,b,product(c,b))),product(product(bigC(a,a,c),product(product(a,c),b)),b)) )],[refute_0_11723,refute_0_11726]) ).

cnf(refute_0_11728,plain,
    ( product(product(a,product(c,b)),b) != product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))
    | product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(a,product(c,b)),b) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(c,b)),b),product(product(bigC(a,a,c),product(product(a,c),b)),b)) ),[0],$fot(product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))))]]) ).

cnf(refute_0_11729,plain,
    ( product(product(a,product(c,b)),b) != product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))
    | product(product(a,product(c,b)),b) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b))),product(product(bigC(a,a,c),product(product(a,c),b)),b)) )],[refute_0_11727,refute_0_11728]) ).

cnf(refute_0_11730,plain,
    ( difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))
    | product(product(a,product(c,b)),b) = product(product(bigC(a,a,c),product(product(a,c),b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),b),product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))) )],[refute_0_11475,refute_0_11729]) ).

cnf(refute_0_11731,plain,
    product(product(a,product(c,b)),b) = product(product(bigC(a,a,c),product(product(a,c),b)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(a,c),b)),product(product(a,c),b)),product(product(product(a,c),b),product(product(product(a,c),b),product(product(c,b),b)))) )],[refute_0_11383,refute_0_11730]) ).

cnf(refute_0_11732,plain,
    ( product(product(a,product(c,b)),b) != product(product(bigC(a,a,c),product(product(a,c),b)),b)
    | product(product(bigC(a,a,c),product(product(a,c),b)),b) = product(product(a,product(c,b)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,product(c,b)),b))),bind(Y,$fot(product(product(bigC(a,a,c),product(product(a,c),b)),b)))]]) ).

cnf(refute_0_11733,plain,
    product(product(bigC(a,a,c),product(product(a,c),b)),b) = product(product(a,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),b),product(product(bigC(a,a,c),product(product(a,c),b)),b)) )],[refute_0_11731,refute_0_11732]) ).

cnf(refute_0_11734,plain,
    ( product(product(bigC(a,a,c),product(product(a,c),b)),b) != product(product(a,product(c,b)),b)
    | quotient(product(product(bigC(a,a,c),product(product(a,c),b)),b),b) != product(bigC(a,a,c),product(product(a,c),b))
    | quotient(product(product(a,product(c,b)),b),b) = product(bigC(a,a,c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(a,a,c),product(product(a,c),b)),b),b),product(bigC(a,a,c),product(product(a,c),b))) ),[0,0],$fot(product(product(a,product(c,b)),b))]]) ).

cnf(refute_0_11735,plain,
    ( quotient(product(product(bigC(a,a,c),product(product(a,c),b)),b),b) != product(bigC(a,a,c),product(product(a,c),b))
    | quotient(product(product(a,product(c,b)),b),b) = product(bigC(a,a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(product(a,c),b)),b),product(product(a,product(c,b)),b)) )],[refute_0_11733,refute_0_11734]) ).

cnf(refute_0_11736,plain,
    quotient(product(product(a,product(c,b)),b),b) = product(bigC(a,a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(a,a,c),product(product(a,c),b)),b),b),product(bigC(a,a,c),product(product(a,c),b))) )],[refute_0_8951,refute_0_11735]) ).

cnf(refute_0_11737,plain,
    quotient(product(product(a,product(c,b)),b),b) = product(a,product(c,b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(b))]]) ).

cnf(refute_0_11738,plain,
    ( quotient(product(product(a,product(c,b)),b),b) != product(a,product(c,b))
    | quotient(product(product(a,product(c,b)),b),b) != product(bigC(a,a,c),product(product(a,c),b))
    | product(a,product(c,b)) = product(bigC(a,a,c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(c,b)),b),b),product(bigC(a,a,c),product(product(a,c),b))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_11739,plain,
    ( quotient(product(product(a,product(c,b)),b),b) != product(bigC(a,a,c),product(product(a,c),b))
    | product(a,product(c,b)) = product(bigC(a,a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),b),b),product(a,product(c,b))) )],[refute_0_11737,refute_0_11738]) ).

cnf(refute_0_11740,plain,
    product(a,product(c,b)) = product(bigC(a,a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(c,b)),b),b),product(bigC(a,a,c),product(product(a,c),b))) )],[refute_0_11736,refute_0_11739]) ).

cnf(refute_0_11741,plain,
    ( product(a,product(c,b)) != product(bigC(a,a,c),product(product(a,c),b))
    | product(bigC(a,a,c),product(product(a,c),b)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(bigC(a,a,c),product(product(a,c),b))))]]) ).

cnf(refute_0_11742,plain,
    product(bigC(a,a,c),product(product(a,c),b)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(bigC(a,a,c),product(product(a,c),b))) )],[refute_0_11740,refute_0_11741]) ).

cnf(refute_0_11743,plain,
    ( product(bigC(a,a,c),product(product(a,c),b)) != product(a,product(c,b))
    | quotient(quotient(bigC(a,a,c),product(bigC(a,a,c),product(product(a,c),b))),bigC(a,a,c)) != difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(bigC(a,a,c),product(product(a,c),b))),bigC(a,a,c)),difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))) ),[0,0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_11744,plain,
    ( quotient(quotient(bigC(a,a,c),product(bigC(a,a,c),product(product(a,c),b))),bigC(a,a,c)) != difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(a,c),b)),product(a,product(c,b))) )],[refute_0_11742,refute_0_11743]) ).

cnf(refute_0_11745,plain,
    quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(bigC(a,a,c),product(product(a,c),b))),bigC(a,a,c)),difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))) )],[refute_0_8950,refute_0_11744]) ).

cnf(refute_0_11746,plain,
    difference(bigC(a,a,c),product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))) = product(difference(product(a,c),product(c,b)),c),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(product(difference(product(a,c),product(c,b)),c)))]]) ).

cnf(refute_0_11747,plain,
    bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(product(product(a,c),quotient(product(b,a),product(a,c))),product(a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(quotient(product(b,a),product(a,c))))]]) ).

cnf(refute_0_11748,plain,
    difference(product(a,c),difference(product(product(b,a),product(a,c)),product(a,c))) = product(product(a,c),quotient(product(b,a),product(a,c))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(a,c))),bind(X_27,$fot(product(b,a)))]]) ).

cnf(refute_0_11749,plain,
    ( difference(product(a,c),difference(product(product(b,a),product(a,c)),product(a,c))) != product(product(a,c),quotient(product(b,a),product(a,c)))
    | product(product(b,a),product(a,c)) != product(c,a)
    | difference(product(a,c),difference(product(c,a),product(a,c))) = product(product(a,c),quotient(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),difference(product(product(b,a),product(a,c)),product(a,c))),product(product(a,c),quotient(product(b,a),product(a,c)))) ),[0,1,0],$fot(product(c,a))]]) ).

cnf(refute_0_11750,plain,
    ( difference(product(a,c),difference(product(product(b,a),product(a,c)),product(a,c))) != product(product(a,c),quotient(product(b,a),product(a,c)))
    | difference(product(a,c),difference(product(c,a),product(a,c))) = product(product(a,c),quotient(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_11749]) ).

cnf(refute_0_11751,plain,
    difference(product(a,c),difference(product(c,a),product(a,c))) = product(product(a,c),quotient(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(product(b,a),product(a,c)),product(a,c))),product(product(a,c),quotient(product(b,a),product(a,c)))) )],[refute_0_11748,refute_0_11750]) ).

cnf(refute_0_11752,plain,
    difference(product(a,c),product(product(a,c),product(c,b))) = product(c,b),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_11753,plain,
    ( difference(product(a,c),product(product(a,c),product(c,b))) != product(c,b)
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(a,c),product(a,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(c,b))),product(c,b)) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_11754,plain,
    ( difference(product(a,c),product(product(a,c),product(c,b))) != product(c,b)
    | difference(product(a,c),product(a,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_11753]) ).

cnf(refute_0_11755,plain,
    difference(product(a,c),product(a,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(c,b))),product(c,b)) )],[refute_0_11752,refute_0_11754]) ).

cnf(refute_0_11756,plain,
    difference(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b))) = product(a,b),
    inference(subst,[],[sos01:[bind(A,$fot(product(bigC(c,b,a),a))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_11757,plain,
    ( difference(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b))) != product(a,b)
    | product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | difference(product(bigC(c,b,a),a),product(a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b))),product(a,b)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_11758,plain,
    ( difference(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b))) != product(a,b)
    | difference(product(bigC(c,b,a),a),product(a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_11757]) ).

cnf(refute_0_11759,plain,
    difference(product(bigC(c,b,a),a),product(a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(product(bigC(c,b,a),a),product(a,b))),product(a,b)) )],[refute_0_11756,refute_0_11758]) ).

cnf(refute_0_11760,plain,
    difference(product(bigC(c,b,a),a),product(a,c)) = difference(product(bigC(c,b,a),a),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,b,a),a),product(a,c)))]]) ).

cnf(refute_0_11761,plain,
    ( difference(product(bigC(c,b,a),a),product(a,c)) != difference(product(bigC(c,b,a),a),product(a,c))
    | product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | difference(product(bigC(c,b,a),a),product(a,c)) = difference(product(bigC(c,a,b),a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(a,c)),difference(product(bigC(c,b,a),a),product(a,c))) ),[1,0],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_11762,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | difference(product(bigC(c,b,a),a),product(a,c)) = difference(product(bigC(c,a,b),a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(a,c)),difference(product(bigC(c,b,a),a),product(a,c))) )],[refute_0_11760,refute_0_11761]) ).

cnf(refute_0_11763,plain,
    difference(product(bigC(c,b,a),a),product(a,c)) = difference(product(bigC(c,a,b),a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_11762]) ).

cnf(refute_0_11764,plain,
    ( difference(product(bigC(c,b,a),a),product(a,c)) != difference(product(bigC(c,a,b),a),product(a,c))
    | difference(product(bigC(c,b,a),a),product(a,c)) != product(a,b)
    | difference(product(bigC(c,a,b),a),product(a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(a,c)),product(a,b)) ),[0],$fot(difference(product(bigC(c,a,b),a),product(a,c)))]]) ).

cnf(refute_0_11765,plain,
    ( difference(product(bigC(c,b,a),a),product(a,c)) != product(a,b)
    | difference(product(bigC(c,a,b),a),product(a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(a,c)),difference(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_11763,refute_0_11764]) ).

cnf(refute_0_11766,plain,
    difference(product(bigC(c,a,b),a),product(a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,b,a),a),product(a,c)),product(a,b)) )],[refute_0_11759,refute_0_11765]) ).

cnf(refute_0_11767,plain,
    difference(product(bigC(c,a,b),a),product(a,c)) = difference(product(bigC(c,a,b),a),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(c,a,b),a),product(a,c)))]]) ).

cnf(refute_0_11768,plain,
    ( difference(product(bigC(c,a,b),a),product(a,c)) != difference(product(bigC(c,a,b),a),product(a,c))
    | product(bigC(c,a,b),a) != product(c,a)
    | difference(product(bigC(c,a,b),a),product(a,c)) = difference(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(a,c)),difference(product(bigC(c,a,b),a),product(a,c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_11769,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | difference(product(bigC(c,a,b),a),product(a,c)) = difference(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(a,c)),difference(product(bigC(c,a,b),a),product(a,c))) )],[refute_0_11767,refute_0_11768]) ).

cnf(refute_0_11770,plain,
    difference(product(bigC(c,a,b),a),product(a,c)) = difference(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_11769]) ).

cnf(refute_0_11771,plain,
    ( difference(product(bigC(c,a,b),a),product(a,c)) != difference(product(c,a),product(a,c))
    | difference(product(bigC(c,a,b),a),product(a,c)) != product(a,b)
    | difference(product(c,a),product(a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(a,c)),product(a,b)) ),[0],$fot(difference(product(c,a),product(a,c)))]]) ).

cnf(refute_0_11772,plain,
    ( difference(product(bigC(c,a,b),a),product(a,c)) != product(a,b)
    | difference(product(c,a),product(a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(a,c)),difference(product(c,a),product(a,c))) )],[refute_0_11770,refute_0_11771]) ).

cnf(refute_0_11773,plain,
    difference(product(c,a),product(a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,b),a),product(a,c)),product(a,b)) )],[refute_0_11766,refute_0_11772]) ).

cnf(refute_0_11774,plain,
    difference(product(a,c),difference(product(c,a),product(a,c))) = difference(product(a,c),difference(product(c,a),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),difference(product(c,a),product(a,c))))]]) ).

cnf(refute_0_11775,plain,
    ( difference(product(a,c),difference(product(c,a),product(a,c))) != difference(product(a,c),difference(product(c,a),product(a,c)))
    | difference(product(c,a),product(a,c)) != product(a,b)
    | difference(product(a,c),difference(product(c,a),product(a,c))) = difference(product(a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),difference(product(c,a),product(a,c))),difference(product(a,c),difference(product(c,a),product(a,c)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_11776,plain,
    ( difference(product(c,a),product(a,c)) != product(a,b)
    | difference(product(a,c),difference(product(c,a),product(a,c))) = difference(product(a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(c,a),product(a,c))),difference(product(a,c),difference(product(c,a),product(a,c)))) )],[refute_0_11774,refute_0_11775]) ).

cnf(refute_0_11777,plain,
    difference(product(a,c),difference(product(c,a),product(a,c))) = difference(product(a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(a,c)),product(a,b)) )],[refute_0_11773,refute_0_11776]) ).

cnf(refute_0_11778,plain,
    ( difference(product(a,c),difference(product(c,a),product(a,c))) != difference(product(a,c),product(a,b))
    | difference(product(a,c),product(a,b)) != product(c,b)
    | difference(product(a,c),difference(product(c,a),product(a,c))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,c),difference(product(c,a),product(a,c))))),bind(Y,$fot(difference(product(a,c),product(a,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_11779,plain,
    ( difference(product(a,c),product(a,b)) != product(c,b)
    | difference(product(a,c),difference(product(c,a),product(a,c))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(c,a),product(a,c))),difference(product(a,c),product(a,b))) )],[refute_0_11777,refute_0_11778]) ).

cnf(refute_0_11780,plain,
    difference(product(a,c),difference(product(c,a),product(a,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,b)),product(c,b)) )],[refute_0_11755,refute_0_11779]) ).

cnf(refute_0_11781,plain,
    ( difference(product(a,c),difference(product(c,a),product(a,c))) != product(c,b)
    | difference(product(a,c),difference(product(c,a),product(a,c))) != product(product(a,c),quotient(product(b,a),product(a,c)))
    | product(c,b) = product(product(a,c),quotient(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),difference(product(c,a),product(a,c))),product(product(a,c),quotient(product(b,a),product(a,c)))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_11782,plain,
    ( difference(product(a,c),difference(product(c,a),product(a,c))) != product(product(a,c),quotient(product(b,a),product(a,c)))
    | product(c,b) = product(product(a,c),quotient(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(c,a),product(a,c))),product(c,b)) )],[refute_0_11780,refute_0_11781]) ).

cnf(refute_0_11783,plain,
    product(c,b) = product(product(a,c),quotient(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(c,a),product(a,c))),product(product(a,c),quotient(product(b,a),product(a,c)))) )],[refute_0_11751,refute_0_11782]) ).

cnf(refute_0_11784,plain,
    ( product(c,b) != product(product(a,c),quotient(product(b,a),product(a,c)))
    | product(product(a,c),quotient(product(b,a),product(a,c))) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(product(a,c),quotient(product(b,a),product(a,c)))))]]) ).

cnf(refute_0_11785,plain,
    product(product(a,c),quotient(product(b,a),product(a,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(a,c),quotient(product(b,a),product(a,c)))) )],[refute_0_11783,refute_0_11784]) ).

cnf(refute_0_11786,plain,
    ( bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(product(product(a,c),quotient(product(b,a),product(a,c))),product(a,c))
    | product(product(a,c),quotient(product(b,a),product(a,c))) != product(c,b)
    | bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)),product(product(product(a,c),quotient(product(b,a),product(a,c))),product(a,c))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_11787,plain,
    ( bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(product(product(a,c),quotient(product(b,a),product(a,c))),product(a,c))
    | bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(product(b,a),product(a,c))),product(c,b)) )],[refute_0_11785,refute_0_11786]) ).

cnf(refute_0_11788,plain,
    bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)),product(product(product(a,c),quotient(product(b,a),product(a,c))),product(a,c))) )],[refute_0_11747,refute_0_11787]) ).

cnf(refute_0_11789,plain,
    product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)))]]) ).

cnf(refute_0_11790,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) != product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c))
    | product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)),product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_11791,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)),product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c))) )],[refute_0_11789,refute_0_11790]) ).

cnf(refute_0_11792,plain,
    product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_11791]) ).

cnf(refute_0_11793,plain,
    bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(quotient(product(b,a),product(a,c)))),bind(D,$fot(c))]]) ).

cnf(refute_0_11794,plain,
    ( bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c))
    | product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) != product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))
    | bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)))),bind(Y,$fot(product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)))),bind(Z,$fot(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))))]]) ).

cnf(refute_0_11795,plain,
    ( product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)) != product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))
    | bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)),product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c))) )],[refute_0_11793,refute_0_11794]) ).

cnf(refute_0_11796,plain,
    bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(quotient(product(b,a),product(a,c)),c)),product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))) )],[refute_0_11792,refute_0_11795]) ).

cnf(refute_0_11797,plain,
    ( bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))
    | bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = product(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)),product(product(c,b),product(a,c))) ),[0],$fot(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)))]]) ).

cnf(refute_0_11798,plain,
    ( bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = product(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)),product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))) )],[refute_0_11796,refute_0_11797]) ).

cnf(refute_0_11799,plain,
    ( product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) != product(product(c,b),product(a,c))
    | product(product(c,b),product(a,c)) != c
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),c) ),[0],$fot(product(product(c,b),product(a,c)))]]) ).

cnf(refute_0_11800,plain,
    ( product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),c) )],[refute_0_3809,refute_0_11799]) ).

cnf(refute_0_11801,plain,
    ( bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)) != product(product(c,b),product(a,c))
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),product(product(c,b),product(a,c))) )],[refute_0_11798,refute_0_11800]) ).

cnf(refute_0_11802,plain,
    product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = c,
    inference(resolve,[$cnf( $equal(bigC(product(a,c),quotient(product(b,a),product(a,c)),product(a,c)),product(product(c,b),product(a,c))) )],[refute_0_11788,refute_0_11801]) ).

cnf(refute_0_11803,plain,
    difference(product(a,c),product(product(a,c),quotient(product(b,a),product(a,c)))) = quotient(product(b,a),product(a,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,c))),bind(B,$fot(quotient(product(b,a),product(a,c))))]]) ).

cnf(refute_0_11804,plain,
    ( difference(product(a,c),product(product(a,c),quotient(product(b,a),product(a,c)))) != quotient(product(b,a),product(a,c))
    | product(product(a,c),quotient(product(b,a),product(a,c))) != product(c,b)
    | difference(product(a,c),product(c,b)) = quotient(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),quotient(product(b,a),product(a,c)))),quotient(product(b,a),product(a,c))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_11805,plain,
    ( difference(product(a,c),product(product(a,c),quotient(product(b,a),product(a,c)))) != quotient(product(b,a),product(a,c))
    | difference(product(a,c),product(c,b)) = quotient(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(product(b,a),product(a,c))),product(c,b)) )],[refute_0_11785,refute_0_11804]) ).

cnf(refute_0_11806,plain,
    difference(product(a,c),product(c,b)) = quotient(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),quotient(product(b,a),product(a,c)))),quotient(product(b,a),product(a,c))) )],[refute_0_11803,refute_0_11805]) ).

cnf(refute_0_11807,plain,
    ( difference(product(a,c),product(c,b)) != quotient(product(b,a),product(a,c))
    | quotient(product(b,a),product(a,c)) = difference(product(a,c),product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(a,c),product(c,b)))),bind(Y,$fot(quotient(product(b,a),product(a,c))))]]) ).

cnf(refute_0_11808,plain,
    quotient(product(b,a),product(a,c)) = difference(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,b)),quotient(product(b,a),product(a,c))) )],[refute_0_11806,refute_0_11807]) ).

cnf(refute_0_11809,plain,
    product(quotient(product(b,a),product(a,c)),c) = product(quotient(product(b,a),product(a,c)),c),
    introduced(tautology,[refl,[$fot(product(quotient(product(b,a),product(a,c)),c))]]) ).

cnf(refute_0_11810,plain,
    ( product(quotient(product(b,a),product(a,c)),c) != product(quotient(product(b,a),product(a,c)),c)
    | quotient(product(b,a),product(a,c)) != difference(product(a,c),product(c,b))
    | product(quotient(product(b,a),product(a,c)),c) = product(difference(product(a,c),product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,a),product(a,c)),c),product(quotient(product(b,a),product(a,c)),c)) ),[1,0],$fot(difference(product(a,c),product(c,b)))]]) ).

cnf(refute_0_11811,plain,
    ( quotient(product(b,a),product(a,c)) != difference(product(a,c),product(c,b))
    | product(quotient(product(b,a),product(a,c)),c) = product(difference(product(a,c),product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,a),product(a,c)),c),product(quotient(product(b,a),product(a,c)),c)) )],[refute_0_11809,refute_0_11810]) ).

cnf(refute_0_11812,plain,
    product(quotient(product(b,a),product(a,c)),c) = product(difference(product(a,c),product(c,b)),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(a,c)),difference(product(a,c),product(c,b))) )],[refute_0_11808,refute_0_11811]) ).

cnf(refute_0_11813,plain,
    product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)))]]) ).

cnf(refute_0_11814,plain,
    ( product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) != product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))
    | product(quotient(product(b,a),product(a,c)),c) != product(difference(product(a,c),product(c,b)),c)
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))) ),[1,1],$fot(product(difference(product(a,c),product(c,b)),c))]]) ).

cnf(refute_0_11815,plain,
    ( product(quotient(product(b,a),product(a,c)),c) != product(difference(product(a,c),product(c,b)),c)
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c))) )],[refute_0_11813,refute_0_11814]) ).

cnf(refute_0_11816,plain,
    product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) = product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,a),product(a,c)),c),product(difference(product(a,c),product(c,b)),c)) )],[refute_0_11812,refute_0_11815]) ).

cnf(refute_0_11817,plain,
    ( product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) != c
    | product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) != product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))
    | product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),c) ),[0],$fot(product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)))]]) ).

cnf(refute_0_11818,plain,
    ( product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)) != c
    | product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))) )],[refute_0_11816,refute_0_11817]) ).

cnf(refute_0_11819,plain,
    product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)) = c,
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(quotient(product(b,a),product(a,c)),c)),c) )],[refute_0_11802,refute_0_11818]) ).

cnf(refute_0_11820,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))) != product(difference(product(a,c),product(c,b)),c)
    | product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)) != c
    | difference(bigC(a,a,c),c) = product(difference(product(a,c),product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))),product(difference(product(a,c),product(c,b)),c)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_11821,plain,
    ( difference(bigC(a,a,c),product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))) != product(difference(product(a,c),product(c,b)),c)
    | difference(bigC(a,a,c),c) = product(difference(product(a,c),product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c)),c) )],[refute_0_11819,refute_0_11820]) ).

cnf(refute_0_11822,plain,
    difference(bigC(a,a,c),c) = product(difference(product(a,c),product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(bigC(a,a,c),product(difference(product(a,c),product(c,b)),c))),product(difference(product(a,c),product(c,b)),c)) )],[refute_0_11746,refute_0_11821]) ).

cnf(refute_0_11823,plain,
    quotient(quotient(c,product(c,bigC(b,b,c))),c) = difference(c,product(bigC(b,b,c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_11824,plain,
    difference(c,product(c,product(b,product(a,product(a,c))))) = product(b,product(a,product(a,c))),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_11825,plain,
    ( difference(c,product(c,product(b,product(a,product(a,c))))) != product(b,product(a,product(a,c)))
    | product(c,product(b,product(a,product(a,c)))) != product(product(bigC(b,b,c),c),c)
    | difference(c,product(product(bigC(b,b,c),c),c)) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(b,product(a,product(a,c))))),product(b,product(a,product(a,c)))) ),[0,1],$fot(product(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_11826,plain,
    ( difference(c,product(c,product(b,product(a,product(a,c))))) != product(b,product(a,product(a,c)))
    | difference(c,product(product(bigC(b,b,c),c),c)) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(a,product(a,c)))),product(product(bigC(b,b,c),c),c)) )],[refute_0_4508,refute_0_11825]) ).

cnf(refute_0_11827,plain,
    difference(c,product(product(bigC(b,b,c),c),c)) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(b,product(a,product(a,c))))),product(b,product(a,product(a,c)))) )],[refute_0_11824,refute_0_11826]) ).

cnf(refute_0_11828,plain,
    difference(c,product(product(bigC(b,b,c),c),c)) = quotient(c,product(c,bigC(b,b,c))),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(bigC(b,b,c))),bind(X_18,$fot(c))]]) ).

cnf(refute_0_11829,plain,
    ( difference(c,product(product(bigC(b,b,c),c),c)) != product(b,product(a,product(a,c)))
    | difference(c,product(product(bigC(b,b,c),c),c)) != quotient(c,product(c,bigC(b,b,c)))
    | quotient(c,product(c,bigC(b,b,c))) = product(b,product(a,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(bigC(b,b,c),c),c)),product(b,product(a,product(a,c)))) ),[0],$fot(quotient(c,product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_11830,plain,
    ( difference(c,product(product(bigC(b,b,c),c),c)) != product(b,product(a,product(a,c)))
    | quotient(c,product(c,bigC(b,b,c))) = product(b,product(a,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(b,b,c),c),c)),quotient(c,product(c,bigC(b,b,c)))) )],[refute_0_11828,refute_0_11829]) ).

cnf(refute_0_11831,plain,
    quotient(c,product(c,bigC(b,b,c))) = product(b,product(a,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(b,b,c),c),c)),product(b,product(a,product(a,c)))) )],[refute_0_11827,refute_0_11830]) ).

cnf(refute_0_11832,plain,
    ( quotient(c,product(c,bigC(b,b,c))) != product(b,product(a,product(a,c)))
    | quotient(quotient(c,product(c,bigC(b,b,c))),c) != difference(c,product(bigC(b,b,c),c))
    | quotient(product(b,product(a,product(a,c))),c) = difference(c,product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,bigC(b,b,c))),c),difference(c,product(bigC(b,b,c),c))) ),[0,0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_11833,plain,
    ( quotient(quotient(c,product(c,bigC(b,b,c))),c) != difference(c,product(bigC(b,b,c),c))
    | quotient(product(b,product(a,product(a,c))),c) = difference(c,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,bigC(b,b,c))),product(b,product(a,product(a,c)))) )],[refute_0_11831,refute_0_11832]) ).

cnf(refute_0_11834,plain,
    quotient(product(b,product(a,product(a,c))),c) = difference(c,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,bigC(b,b,c))),c),difference(c,product(bigC(b,b,c),c))) )],[refute_0_11823,refute_0_11833]) ).

cnf(refute_0_11835,plain,
    quotient(product(product(b,product(c,a)),c),c) = product(b,product(c,a)),
    inference(subst,[],[sos03:[bind(A,$fot(product(b,product(c,a)))),bind(B,$fot(c))]]) ).

cnf(refute_0_11836,plain,
    ( product(product(b,product(c,a)),c) != product(b,product(a,product(a,c)))
    | quotient(product(product(b,product(c,a)),c),c) != product(b,product(c,a))
    | quotient(product(b,product(a,product(a,c))),c) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,product(c,a)),c),c),product(b,product(c,a))) ),[0,0],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_11837,plain,
    ( quotient(product(product(b,product(c,a)),c),c) != product(b,product(c,a))
    | quotient(product(b,product(a,product(a,c))),c) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),c),product(b,product(a,product(a,c)))) )],[refute_0_3913,refute_0_11836]) ).

cnf(refute_0_11838,plain,
    quotient(product(b,product(a,product(a,c))),c) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,product(c,a)),c),c),product(b,product(c,a))) )],[refute_0_11835,refute_0_11837]) ).

cnf(refute_0_11839,plain,
    ( quotient(product(b,product(a,product(a,c))),c) != difference(c,product(bigC(b,b,c),c))
    | quotient(product(b,product(a,product(a,c))),c) != product(b,product(c,a))
    | product(b,product(c,a)) = difference(c,product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(a,product(a,c))),c),difference(c,product(bigC(b,b,c),c))) ),[0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_11840,plain,
    ( quotient(product(b,product(a,product(a,c))),c) != difference(c,product(bigC(b,b,c),c))
    | product(b,product(c,a)) = difference(c,product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,product(a,c))),c),product(b,product(c,a))) )],[refute_0_11838,refute_0_11839]) ).

cnf(refute_0_11841,plain,
    product(b,product(c,a)) = difference(c,product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(a,product(a,c))),c),difference(c,product(bigC(b,b,c),c))) )],[refute_0_11834,refute_0_11840]) ).

cnf(refute_0_11842,plain,
    ( product(b,product(c,a)) != difference(c,product(bigC(b,b,c),c))
    | difference(c,product(bigC(b,b,c),c)) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(c,a)))),bind(Y,$fot(difference(c,product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_11843,plain,
    difference(c,product(bigC(b,b,c),c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,product(c,a)),difference(c,product(bigC(b,b,c),c))) )],[refute_0_11841,refute_0_11842]) ).

cnf(refute_0_11844,plain,
    product(difference(c,bigC(b,b,c)),c) = difference(c,product(bigC(b,b,c),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(bigC(b,b,c))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_11845,plain,
    ( difference(c,product(bigC(b,b,c),c)) != product(b,product(c,a))
    | product(difference(c,bigC(b,b,c)),c) != difference(c,product(bigC(b,b,c),c))
    | product(difference(c,bigC(b,b,c)),c) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,bigC(b,b,c)),c))),bind(Y,$fot(difference(c,product(bigC(b,b,c),c)))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11846,plain,
    ( difference(c,product(bigC(b,b,c),c)) != product(b,product(c,a))
    | product(difference(c,bigC(b,b,c)),c) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,bigC(b,b,c)),c),difference(c,product(bigC(b,b,c),c))) )],[refute_0_11844,refute_0_11845]) ).

cnf(refute_0_11847,plain,
    product(difference(c,bigC(b,b,c)),c) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(bigC(b,b,c),c)),product(b,product(c,a))) )],[refute_0_11843,refute_0_11846]) ).

cnf(refute_0_11848,plain,
    product(quotient(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = difference(product(a,c),product(c,b)),
    inference(subst,[],[sos04:[bind(A,$fot(difference(product(a,c),product(c,b)))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_11849,plain,
    quotient(quotient(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),product(b,a)) = difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(b,a))),bind(X_29,$fot(quotient(product(c,b),product(b,a))))]]) ).

cnf(refute_0_11850,plain,
    ( product(product(b,a),quotient(product(c,b),product(b,a))) != difference(product(b,a),difference(product(b,c),product(b,a)))
    | quotient(quotient(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),product(b,a)) != difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),product(b,a)),difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))) ),[0,0,1],$fot(difference(product(b,a),difference(product(b,c),product(b,a))))]]) ).

cnf(refute_0_11851,plain,
    ( quotient(quotient(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),product(b,a)) != difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(c,b),product(b,a))),difference(product(b,a),difference(product(b,c),product(b,a)))) )],[refute_0_8991,refute_0_11850]) ).

cnf(refute_0_11852,plain,
    quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),product(b,a)),difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))) )],[refute_0_11849,refute_0_11851]) ).

cnf(refute_0_11853,plain,
    product(quotient(product(c,b),product(b,a)),product(b,a)) = product(c,b),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_11854,plain,
    difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) = difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))))]]) ).

cnf(refute_0_11855,plain,
    ( difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) != difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))
    | product(quotient(product(c,b),product(b,a)),product(b,a)) != product(c,b)
    | difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) = difference(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))),difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_11856,plain,
    ( product(quotient(product(c,b),product(b,a)),product(b,a)) != product(c,b)
    | difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) = difference(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))),difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))) )],[refute_0_11854,refute_0_11855]) ).

cnf(refute_0_11857,plain,
    difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) = difference(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,b),product(b,a)),product(b,a)),product(c,b)) )],[refute_0_11853,refute_0_11856]) ).

cnf(refute_0_11858,plain,
    ( difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))) != difference(product(b,a),product(c,b))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) != difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = difference(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))) ),[1],$fot(difference(product(b,a),product(c,b)))]]) ).

cnf(refute_0_11859,plain,
    ( quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) != difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = difference(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a))),difference(product(b,a),product(c,b))) )],[refute_0_11857,refute_0_11858]) ).

cnf(refute_0_11860,plain,
    quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = difference(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),difference(product(b,a),product(quotient(product(c,b),product(b,a)),product(b,a)))) )],[refute_0_11852,refute_0_11859]) ).

cnf(refute_0_11861,plain,
    difference(quotient(product(c,a),product(a,c)),product(c,a)) = product(a,c),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(a,c))),bind(X_9,$fot(product(c,a)))]]) ).

cnf(refute_0_11862,plain,
    ( difference(quotient(product(c,a),product(a,c)),product(c,a)) != product(a,c)
    | quotient(product(c,a),product(a,c)) != product(b,a)
    | difference(product(b,a),product(c,a)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(c,a),product(a,c)),product(c,a)),product(a,c)) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_11863,plain,
    ( difference(quotient(product(c,a),product(a,c)),product(c,a)) != product(a,c)
    | difference(product(b,a),product(c,a)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(a,c)),product(b,a)) )],[refute_0_3820,refute_0_11862]) ).

cnf(refute_0_11864,plain,
    difference(product(b,a),product(c,a)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(quotient(product(c,a),product(a,c)),product(c,a)),product(a,c)) )],[refute_0_11861,refute_0_11863]) ).

cnf(refute_0_11865,plain,
    difference(quotient(product(b,a),product(c,a)),product(b,a)) = product(c,a),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(c,a))),bind(X_9,$fot(product(b,a)))]]) ).

cnf(refute_0_11866,plain,
    ( difference(quotient(product(b,a),product(c,a)),product(b,a)) != product(c,a)
    | quotient(product(b,a),product(c,a)) != product(b,c)
    | difference(product(b,c),product(b,a)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(b,a),product(c,a)),product(b,a)),product(c,a)) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_11867,plain,
    ( difference(quotient(product(b,a),product(c,a)),product(b,a)) != product(c,a)
    | difference(product(b,c),product(b,a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,a)),product(b,c)) )],[refute_0_3859,refute_0_11866]) ).

cnf(refute_0_11868,plain,
    difference(product(b,c),product(b,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(difference(quotient(product(b,a),product(c,a)),product(b,a)),product(c,a)) )],[refute_0_11865,refute_0_11867]) ).

cnf(refute_0_11869,plain,
    difference(product(b,a),difference(product(b,c),product(b,a))) = difference(product(b,a),difference(product(b,c),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),difference(product(b,c),product(b,a))))]]) ).

cnf(refute_0_11870,plain,
    ( difference(product(b,a),difference(product(b,c),product(b,a))) != difference(product(b,a),difference(product(b,c),product(b,a)))
    | difference(product(b,c),product(b,a)) != product(c,a)
    | difference(product(b,a),difference(product(b,c),product(b,a))) = difference(product(b,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(b,c),product(b,a))),difference(product(b,a),difference(product(b,c),product(b,a)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_11871,plain,
    ( difference(product(b,c),product(b,a)) != product(c,a)
    | difference(product(b,a),difference(product(b,c),product(b,a))) = difference(product(b,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,c),product(b,a))),difference(product(b,a),difference(product(b,c),product(b,a)))) )],[refute_0_11869,refute_0_11870]) ).

cnf(refute_0_11872,plain,
    difference(product(b,a),difference(product(b,c),product(b,a))) = difference(product(b,a),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,a)),product(c,a)) )],[refute_0_11868,refute_0_11871]) ).

cnf(refute_0_11873,plain,
    ( difference(product(b,a),difference(product(b,c),product(b,a))) != difference(product(b,a),product(c,a))
    | difference(product(b,a),product(c,a)) != product(a,c)
    | difference(product(b,a),difference(product(b,c),product(b,a))) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),difference(product(b,c),product(b,a))))),bind(Y,$fot(difference(product(b,a),product(c,a)))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_11874,plain,
    ( difference(product(b,a),product(c,a)) != product(a,c)
    | difference(product(b,a),difference(product(b,c),product(b,a))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,c),product(b,a))),difference(product(b,a),product(c,a))) )],[refute_0_11872,refute_0_11873]) ).

cnf(refute_0_11875,plain,
    difference(product(b,a),difference(product(b,c),product(b,a))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(c,a)),product(a,c)) )],[refute_0_11864,refute_0_11874]) ).

cnf(refute_0_11876,plain,
    quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),
    introduced(tautology,[refl,[$fot(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))))]]) ).

cnf(refute_0_11877,plain,
    ( difference(product(b,a),difference(product(b,c),product(b,a))) != product(a,c)
    | quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a))))
    | quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_11878,plain,
    ( difference(product(b,a),difference(product(b,c),product(b,a))) != product(a,c)
    | quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a))))) )],[refute_0_11876,refute_0_11877]) ).

cnf(refute_0_11879,plain,
    quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,c),product(b,a))),product(a,c)) )],[refute_0_11875,refute_0_11878]) ).

cnf(refute_0_11880,plain,
    quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)))]]) ).

cnf(refute_0_11881,plain,
    ( quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != quotient(product(b,a),product(a,c))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) != quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = quotient(quotient(product(b,a),product(a,c)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a))) ),[1,0],$fot(quotient(product(b,a),product(a,c)))]]) ).

cnf(refute_0_11882,plain,
    ( quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != quotient(product(b,a),product(a,c))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = quotient(quotient(product(b,a),product(a,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a))) )],[refute_0_11880,refute_0_11881]) ).

cnf(refute_0_11883,plain,
    quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) = quotient(quotient(product(b,a),product(a,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),quotient(product(b,a),product(a,c))) )],[refute_0_11879,refute_0_11882]) ).

cnf(refute_0_11884,plain,
    ( quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) != difference(product(b,a),product(c,b))
    | quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) != quotient(quotient(product(b,a),product(a,c)),product(b,a))
    | quotient(quotient(product(b,a),product(a,c)),product(b,a)) = difference(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),difference(product(b,a),product(c,b))) ),[0],$fot(quotient(quotient(product(b,a),product(a,c)),product(b,a)))]]) ).

cnf(refute_0_11885,plain,
    ( quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)) != difference(product(b,a),product(c,b))
    | quotient(quotient(product(b,a),product(a,c)),product(b,a)) = difference(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),quotient(quotient(product(b,a),product(a,c)),product(b,a))) )],[refute_0_11883,refute_0_11884]) ).

cnf(refute_0_11886,plain,
    quotient(quotient(product(b,a),product(a,c)),product(b,a)) = difference(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),product(b,a)),difference(product(b,a),product(c,b))) )],[refute_0_11860,refute_0_11885]) ).

cnf(refute_0_11887,plain,
    quotient(quotient(product(b,a),product(a,c)),product(b,a)) = quotient(quotient(product(b,a),product(a,c)),product(b,a)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(b,a),product(a,c)),product(b,a)))]]) ).

cnf(refute_0_11888,plain,
    ( quotient(product(b,a),product(a,c)) != difference(product(a,c),product(c,b))
    | quotient(quotient(product(b,a),product(a,c)),product(b,a)) != quotient(quotient(product(b,a),product(a,c)),product(b,a))
    | quotient(quotient(product(b,a),product(a,c)),product(b,a)) = quotient(difference(product(a,c),product(c,b)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(a,c)),product(b,a)),quotient(quotient(product(b,a),product(a,c)),product(b,a))) ),[1,0],$fot(difference(product(a,c),product(c,b)))]]) ).

cnf(refute_0_11889,plain,
    ( quotient(product(b,a),product(a,c)) != difference(product(a,c),product(c,b))
    | quotient(quotient(product(b,a),product(a,c)),product(b,a)) = quotient(difference(product(a,c),product(c,b)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(a,c)),product(b,a)),quotient(quotient(product(b,a),product(a,c)),product(b,a))) )],[refute_0_11887,refute_0_11888]) ).

cnf(refute_0_11890,plain,
    quotient(quotient(product(b,a),product(a,c)),product(b,a)) = quotient(difference(product(a,c),product(c,b)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(a,c)),difference(product(a,c),product(c,b))) )],[refute_0_11808,refute_0_11889]) ).

cnf(refute_0_11891,plain,
    ( quotient(quotient(product(b,a),product(a,c)),product(b,a)) != difference(product(b,a),product(c,b))
    | quotient(quotient(product(b,a),product(a,c)),product(b,a)) != quotient(difference(product(a,c),product(c,b)),product(b,a))
    | quotient(difference(product(a,c),product(c,b)),product(b,a)) = difference(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(b,a),product(a,c)),product(b,a)),difference(product(b,a),product(c,b))) ),[0],$fot(quotient(difference(product(a,c),product(c,b)),product(b,a)))]]) ).

cnf(refute_0_11892,plain,
    ( quotient(quotient(product(b,a),product(a,c)),product(b,a)) != difference(product(b,a),product(c,b))
    | quotient(difference(product(a,c),product(c,b)),product(b,a)) = difference(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(a,c)),product(b,a)),quotient(difference(product(a,c),product(c,b)),product(b,a))) )],[refute_0_11890,refute_0_11891]) ).

cnf(refute_0_11893,plain,
    quotient(difference(product(a,c),product(c,b)),product(b,a)) = difference(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(b,a),product(a,c)),product(b,a)),difference(product(b,a),product(c,b))) )],[refute_0_11886,refute_0_11892]) ).

cnf(refute_0_11894,plain,
    ( product(quotient(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != difference(product(a,c),product(c,b))
    | quotient(difference(product(a,c),product(c,b)),product(b,a)) != difference(product(b,a),product(c,b))
    | product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),difference(product(a,c),product(c,b))) ),[0,0],$fot(difference(product(b,a),product(c,b)))]]) ).

cnf(refute_0_11895,plain,
    ( product(quotient(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != difference(product(a,c),product(c,b))
    | product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,c),product(c,b)),product(b,a)),difference(product(b,a),product(c,b))) )],[refute_0_11893,refute_0_11894]) ).

cnf(refute_0_11896,plain,
    product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),difference(product(a,c),product(c,b))) )],[refute_0_11848,refute_0_11895]) ).

cnf(refute_0_11897,plain,
    difference(c,product(c,difference(product(b,a),product(b,c)))) = difference(product(b,a),product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(difference(product(b,a),product(b,c))))]]) ).

cnf(refute_0_11898,plain,
    bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(c,b))),bind(X_21,$fot(product(b,a))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_11899,plain,
    ( bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,a)))
    | product(product(c,b),product(product(c,b),product(b,a))) != bigC(c,b,b)
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),bigC(c,b,b)) ),[0],$fot(product(product(c,b),product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_11900,plain,
    ( bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,a)))
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,a))),bigC(c,b,b)) )],[refute_0_2277,refute_0_11899]) ).

cnf(refute_0_11901,plain,
    bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(b,a)))) )],[refute_0_11898,refute_0_11900]) ).

cnf(refute_0_11902,plain,
    difference(product(b,a),product(product(c,b),product(b,a))) = difference(product(b,a),product(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),product(product(c,b),product(b,a))))]]) ).

cnf(refute_0_11903,plain,
    ( difference(product(b,a),product(product(c,b),product(b,a))) != difference(product(b,a),product(product(c,b),product(b,a)))
    | product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(b,a),product(product(c,b),product(b,a))) = difference(product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(product(c,b),product(b,a))),difference(product(b,a),product(product(c,b),product(b,a)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_11904,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | difference(product(b,a),product(product(c,b),product(b,a))) = difference(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(c,b),product(b,a))),difference(product(b,a),product(product(c,b),product(b,a)))) )],[refute_0_11902,refute_0_11903]) ).

cnf(refute_0_11905,plain,
    difference(product(b,a),product(product(c,b),product(b,a))) = difference(product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_11904]) ).

cnf(refute_0_11906,plain,
    product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(b,a),product(product(c,b),product(b,a))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(c,b))),bind(X_74,$fot(product(b,a)))]]) ).

cnf(refute_0_11907,plain,
    ( difference(product(b,a),product(product(c,b),product(b,a))) != difference(product(b,a),product(b,c))
    | product(difference(product(b,a),product(c,b)),product(b,a)) != difference(product(b,a),product(product(c,b),product(b,a)))
    | product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(b,a),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(c,b)),product(b,a)))),bind(Y,$fot(difference(product(b,a),product(product(c,b),product(b,a))))),bind(Z,$fot(difference(product(b,a),product(b,c))))]]) ).

cnf(refute_0_11908,plain,
    ( difference(product(b,a),product(product(c,b),product(b,a))) != difference(product(b,a),product(b,c))
    | product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(c,b)),product(b,a)),difference(product(b,a),product(product(c,b),product(b,a)))) )],[refute_0_11906,refute_0_11907]) ).

cnf(refute_0_11909,plain,
    product(difference(product(b,a),product(c,b)),product(b,a)) = difference(product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(c,b),product(b,a))),difference(product(b,a),product(b,c))) )],[refute_0_11905,refute_0_11908]) ).

cnf(refute_0_11910,plain,
    product(c,product(difference(product(b,a),product(c,b)),product(b,a))) = product(c,product(difference(product(b,a),product(c,b)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(c,product(difference(product(b,a),product(c,b)),product(b,a))))]]) ).

cnf(refute_0_11911,plain,
    ( product(c,product(difference(product(b,a),product(c,b)),product(b,a))) != product(c,product(difference(product(b,a),product(c,b)),product(b,a)))
    | product(difference(product(b,a),product(c,b)),product(b,a)) != difference(product(b,a),product(b,c))
    | product(c,product(difference(product(b,a),product(c,b)),product(b,a))) = product(c,difference(product(b,a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(product(b,a),product(c,b)),product(b,a))),product(c,product(difference(product(b,a),product(c,b)),product(b,a)))) ),[1,1],$fot(difference(product(b,a),product(b,c)))]]) ).

cnf(refute_0_11912,plain,
    ( product(difference(product(b,a),product(c,b)),product(b,a)) != difference(product(b,a),product(b,c))
    | product(c,product(difference(product(b,a),product(c,b)),product(b,a))) = product(c,difference(product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(product(b,a),product(c,b)),product(b,a))),product(c,product(difference(product(b,a),product(c,b)),product(b,a)))) )],[refute_0_11910,refute_0_11911]) ).

cnf(refute_0_11913,plain,
    product(c,product(difference(product(b,a),product(c,b)),product(b,a))) = product(c,difference(product(b,a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(c,b)),product(b,a)),difference(product(b,a),product(b,c))) )],[refute_0_11909,refute_0_11912]) ).

cnf(refute_0_11914,plain,
    bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b))) = product(c,product(difference(product(b,a),product(c,b)),product(b,a))),
    inference(subst,[],[refute_0_9994:[bind(X_23,$fot(difference(product(b,a),product(c,b))))]]) ).

cnf(refute_0_11915,plain,
    bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(b,a))),bind(B,$fot(product(c,b))),bind(C,$fot(difference(product(b,a),product(c,b))))]]) ).

cnf(refute_0_11916,plain,
    ( bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b)))
    | bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b))) != product(c,product(difference(product(b,a),product(c,b)),product(b,a)))
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(c,product(difference(product(b,a),product(c,b)),product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)))),bind(Y,$fot(bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b))))),bind(Z,$fot(product(c,product(difference(product(b,a),product(c,b)),product(b,a)))))]]) ).

cnf(refute_0_11917,plain,
    ( bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b))) != product(c,product(difference(product(b,a),product(c,b)),product(b,a)))
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(c,product(difference(product(b,a),product(c,b)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b)))) )],[refute_0_11915,refute_0_11916]) ).

cnf(refute_0_11918,plain,
    bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(c,product(difference(product(b,a),product(c,b)),product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,b),difference(product(b,a),product(c,b))),product(c,product(difference(product(b,a),product(c,b)),product(b,a)))) )],[refute_0_11914,refute_0_11917]) ).

cnf(refute_0_11919,plain,
    ( bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != product(c,product(difference(product(b,a),product(c,b)),product(b,a)))
    | product(c,product(difference(product(b,a),product(c,b)),product(b,a))) != product(c,difference(product(b,a),product(b,c)))
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(c,difference(product(b,a),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)))),bind(Y,$fot(product(c,product(difference(product(b,a),product(c,b)),product(b,a))))),bind(Z,$fot(product(c,difference(product(b,a),product(b,c)))))]]) ).

cnf(refute_0_11920,plain,
    ( product(c,product(difference(product(b,a),product(c,b)),product(b,a))) != product(c,difference(product(b,a),product(b,c)))
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(c,difference(product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),product(c,product(difference(product(b,a),product(c,b)),product(b,a)))) )],[refute_0_11918,refute_0_11919]) ).

cnf(refute_0_11921,plain,
    bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) = product(c,difference(product(b,a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(product(b,a),product(c,b)),product(b,a))),product(c,difference(product(b,a),product(b,c)))) )],[refute_0_11913,refute_0_11920]) ).

cnf(refute_0_11922,plain,
    ( bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != bigC(c,b,b)
    | bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != product(c,difference(product(b,a),product(b,c)))
    | product(c,difference(product(b,a),product(b,c))) = bigC(c,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),bigC(c,b,b)) ),[0],$fot(product(c,difference(product(b,a),product(b,c))))]]) ).

cnf(refute_0_11923,plain,
    ( bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)) != bigC(c,b,b)
    | product(c,difference(product(b,a),product(b,c))) = bigC(c,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),product(c,difference(product(b,a),product(b,c)))) )],[refute_0_11921,refute_0_11922]) ).

cnf(refute_0_11924,plain,
    product(c,difference(product(b,a),product(b,c))) = bigC(c,b,b),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(c,b)),product(c,b)),bigC(c,b,b)) )],[refute_0_11901,refute_0_11923]) ).

cnf(refute_0_11925,plain,
    ( difference(c,product(c,difference(product(b,a),product(b,c)))) != difference(product(b,a),product(b,c))
    | product(c,difference(product(b,a),product(b,c))) != bigC(c,b,b)
    | difference(c,bigC(c,b,b)) = difference(product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(product(b,a),product(b,c)))),difference(product(b,a),product(b,c))) ),[0,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_11926,plain,
    ( difference(c,product(c,difference(product(b,a),product(b,c)))) != difference(product(b,a),product(b,c))
    | difference(c,bigC(c,b,b)) = difference(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,a),product(b,c))),bigC(c,b,b)) )],[refute_0_11924,refute_0_11925]) ).

cnf(refute_0_11927,plain,
    difference(c,bigC(c,b,b)) = difference(product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(product(b,a),product(b,c)))),difference(product(b,a),product(b,c))) )],[refute_0_11897,refute_0_11926]) ).

cnf(refute_0_11928,plain,
    difference(c,bigC(c,b,b)) = difference(c,bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(difference(c,bigC(c,b,b)))]]) ).

cnf(refute_0_11929,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(c,bigC(c,b,b)) != difference(c,bigC(c,b,b))
    | difference(c,bigC(c,b,b)) = difference(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(c,bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_11930,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | difference(c,bigC(c,b,b)) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(c,bigC(c,b,b))) )],[refute_0_11928,refute_0_11929]) ).

cnf(refute_0_11931,plain,
    difference(c,bigC(c,b,b)) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_11930]) ).

cnf(refute_0_11932,plain,
    ( difference(c,bigC(c,b,b)) != difference(c,bigC(b,b,c))
    | difference(c,bigC(c,b,b)) != difference(product(b,a),product(b,c))
    | difference(c,bigC(b,b,c)) = difference(product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(product(b,a),product(b,c))) ),[0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_11933,plain,
    ( difference(c,bigC(c,b,b)) != difference(product(b,a),product(b,c))
    | difference(c,bigC(b,b,c)) = difference(product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(c,bigC(b,b,c))) )],[refute_0_11931,refute_0_11932]) ).

cnf(refute_0_11934,plain,
    difference(c,bigC(b,b,c)) = difference(product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(product(b,a),product(b,c))) )],[refute_0_11927,refute_0_11933]) ).

cnf(refute_0_11935,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(b,a),product(b,c))
    | difference(product(b,a),product(b,c)) = difference(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,bigC(b,b,c)))),bind(Y,$fot(difference(product(b,a),product(b,c))))]]) ).

cnf(refute_0_11936,plain,
    difference(product(b,a),product(b,c)) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),difference(product(b,a),product(b,c))) )],[refute_0_11934,refute_0_11935]) ).

cnf(refute_0_11937,plain,
    ( difference(product(b,a),product(b,c)) != difference(c,bigC(b,b,c))
    | difference(product(b,a),product(product(c,b),product(b,a))) != difference(product(b,a),product(b,c))
    | difference(product(b,a),product(product(c,b),product(b,a))) = difference(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),product(product(c,b),product(b,a))))),bind(Y,$fot(difference(product(b,a),product(b,c)))),bind(Z,$fot(difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_11938,plain,
    ( difference(product(b,a),product(b,c)) != difference(c,bigC(b,b,c))
    | difference(product(b,a),product(product(c,b),product(b,a))) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(c,b),product(b,a))),difference(product(b,a),product(b,c))) )],[refute_0_11905,refute_0_11937]) ).

cnf(refute_0_11939,plain,
    difference(product(b,a),product(product(c,b),product(b,a))) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,c)),difference(c,bigC(b,b,c))) )],[refute_0_11936,refute_0_11938]) ).

cnf(refute_0_11940,plain,
    ( difference(product(b,a),product(product(c,b),product(b,a))) != difference(c,bigC(b,b,c))
    | product(difference(product(b,a),product(c,b)),product(b,a)) != difference(product(b,a),product(product(c,b),product(b,a)))
    | product(difference(product(b,a),product(c,b)),product(b,a)) = difference(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(c,b)),product(b,a)))),bind(Y,$fot(difference(product(b,a),product(product(c,b),product(b,a))))),bind(Z,$fot(difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_11941,plain,
    ( difference(product(b,a),product(product(c,b),product(b,a))) != difference(c,bigC(b,b,c))
    | product(difference(product(b,a),product(c,b)),product(b,a)) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(c,b)),product(b,a)),difference(product(b,a),product(product(c,b),product(b,a)))) )],[refute_0_11906,refute_0_11940]) ).

cnf(refute_0_11942,plain,
    product(difference(product(b,a),product(c,b)),product(b,a)) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(c,b),product(b,a))),difference(c,bigC(b,b,c))) )],[refute_0_11939,refute_0_11941]) ).

cnf(refute_0_11943,plain,
    ( product(difference(product(b,a),product(c,b)),product(b,a)) != difference(c,bigC(b,b,c))
    | product(difference(product(b,a),product(c,b)),product(b,a)) != difference(product(a,c),product(c,b))
    | difference(c,bigC(b,b,c)) = difference(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),product(c,b)),product(b,a)),difference(product(a,c),product(c,b))) ),[0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_11944,plain,
    ( product(difference(product(b,a),product(c,b)),product(b,a)) != difference(product(a,c),product(c,b))
    | difference(c,bigC(b,b,c)) = difference(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(c,b)),product(b,a)),difference(c,bigC(b,b,c))) )],[refute_0_11942,refute_0_11943]) ).

cnf(refute_0_11945,plain,
    difference(c,bigC(b,b,c)) = difference(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(c,b)),product(b,a)),difference(product(a,c),product(c,b))) )],[refute_0_11896,refute_0_11944]) ).

cnf(refute_0_11946,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(a,c),product(c,b))
    | difference(product(a,c),product(c,b)) = difference(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,bigC(b,b,c)))),bind(Y,$fot(difference(product(a,c),product(c,b))))]]) ).

cnf(refute_0_11947,plain,
    difference(product(a,c),product(c,b)) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),difference(product(a,c),product(c,b))) )],[refute_0_11945,refute_0_11946]) ).

cnf(refute_0_11948,plain,
    product(difference(product(a,c),product(c,b)),c) = product(difference(product(a,c),product(c,b)),c),
    introduced(tautology,[refl,[$fot(product(difference(product(a,c),product(c,b)),c))]]) ).

cnf(refute_0_11949,plain,
    ( difference(product(a,c),product(c,b)) != difference(c,bigC(b,b,c))
    | product(difference(product(a,c),product(c,b)),c) != product(difference(product(a,c),product(c,b)),c)
    | product(difference(product(a,c),product(c,b)),c) = product(difference(c,bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,c),product(c,b)),c),product(difference(product(a,c),product(c,b)),c)) ),[1,0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_11950,plain,
    ( difference(product(a,c),product(c,b)) != difference(c,bigC(b,b,c))
    | product(difference(product(a,c),product(c,b)),c) = product(difference(c,bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(c,b)),c),product(difference(product(a,c),product(c,b)),c)) )],[refute_0_11948,refute_0_11949]) ).

cnf(refute_0_11951,plain,
    product(difference(product(a,c),product(c,b)),c) = product(difference(c,bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,b)),difference(c,bigC(b,b,c))) )],[refute_0_11947,refute_0_11950]) ).

cnf(refute_0_11952,plain,
    ( product(difference(c,bigC(b,b,c)),c) != product(b,product(c,a))
    | product(difference(product(a,c),product(c,b)),c) != product(difference(c,bigC(b,b,c)),c)
    | product(difference(product(a,c),product(c,b)),c) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,c),product(c,b)),c))),bind(Y,$fot(product(difference(c,bigC(b,b,c)),c))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_11953,plain,
    ( product(difference(c,bigC(b,b,c)),c) != product(b,product(c,a))
    | product(difference(product(a,c),product(c,b)),c) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(c,b)),c),product(difference(c,bigC(b,b,c)),c)) )],[refute_0_11951,refute_0_11952]) ).

cnf(refute_0_11954,plain,
    product(difference(product(a,c),product(c,b)),c) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(difference(c,bigC(b,b,c)),c),product(b,product(c,a))) )],[refute_0_11847,refute_0_11953]) ).

cnf(refute_0_11955,plain,
    ( difference(bigC(a,a,c),c) != product(difference(product(a,c),product(c,b)),c)
    | product(difference(product(a,c),product(c,b)),c) != product(b,product(c,a))
    | difference(bigC(a,a,c),c) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,c),c),product(b,product(c,a))) ),[0],$fot(product(difference(product(a,c),product(c,b)),c))]]) ).

cnf(refute_0_11956,plain,
    ( difference(bigC(a,a,c),c) != product(difference(product(a,c),product(c,b)),c)
    | difference(bigC(a,a,c),c) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(c,b)),c),product(b,product(c,a))) )],[refute_0_11954,refute_0_11955]) ).

cnf(refute_0_11957,plain,
    difference(bigC(a,a,c),c) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),c),product(difference(product(a,c),product(c,b)),c)) )],[refute_0_11822,refute_0_11956]) ).

cnf(refute_0_11958,plain,
    bigC(product(a,c),product(c,a),b) = bigC(product(a,c),b,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_11959,plain,
    bigC(product(a,c),difference(product(a,c),bigC(a,a,b)),X_23) = product(bigC(a,a,b),product(X_23,product(a,c))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(a,a,b))),bind(X_21,$fot(product(a,c)))]]) ).

cnf(refute_0_11960,plain,
    quotient(quotient(product(a,c),product(product(a,c),c)),product(a,c)) = difference(product(a,c),product(c,product(a,c))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,c))),bind(X_29,$fot(c))]]) ).

cnf(refute_0_11961,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(quotient(product(a,c),product(product(a,c),c)),product(a,c)) != difference(product(a,c),product(c,product(a,c)))
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = difference(product(a,c),product(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(product(a,c),c)),product(a,c)),difference(product(a,c),product(c,product(a,c)))) ),[0,0,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_11962,plain,
    ( quotient(quotient(product(a,c),product(product(a,c),c)),product(a,c)) != difference(product(a,c),product(c,product(a,c)))
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = difference(product(a,c),product(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_11961]) ).

cnf(refute_0_11963,plain,
    quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = difference(product(a,c),product(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(product(a,c),c)),product(a,c)),difference(product(a,c),product(c,product(a,c)))) )],[refute_0_11960,refute_0_11962]) ).

cnf(refute_0_11964,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | quotient(product(a,c),product(a,product(b,c))) != bigC(c,a,a)
    | quotient(product(a,c),product(a,product(b,c))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),bigC(c,a,a)) ),[1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_11965,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(c,a,a)
    | quotient(product(a,c),product(a,product(b,c))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_8213,refute_0_11964]) ).

cnf(refute_0_11966,plain,
    quotient(product(a,c),product(a,product(b,c))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),bigC(c,a,a)) )],[refute_0_8488,refute_0_11965]) ).

cnf(refute_0_11967,plain,
    quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)))]]) ).

cnf(refute_0_11968,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(a,a,c)
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) != quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c))
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = quotient(bigC(a,a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_11969,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(a,a,c)
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = quotient(bigC(a,a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c))) )],[refute_0_11967,refute_0_11968]) ).

cnf(refute_0_11970,plain,
    quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = quotient(bigC(a,a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),bigC(a,a,c)) )],[refute_0_11966,refute_0_11969]) ).

cnf(refute_0_11971,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) != quotient(bigC(a,a,c),product(a,c))
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)))),bind(Y,$fot(quotient(bigC(a,a,c),product(a,c)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_11972,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),quotient(bigC(a,a,c),product(a,c))) )],[refute_0_11970,refute_0_11971]) ).

cnf(refute_0_11973,plain,
    quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(a,c)),product(c,a)) )],[refute_0_8233,refute_0_11972]) ).

cnf(refute_0_11974,plain,
    ( quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) != difference(product(a,c),product(c,product(a,c)))
    | quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) != product(c,a)
    | product(c,a) = difference(product(a,c),product(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),difference(product(a,c),product(c,product(a,c)))) ),[0],$fot(product(c,a))]]) ).

cnf(refute_0_11975,plain,
    ( quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) != difference(product(a,c),product(c,product(a,c)))
    | product(c,a) = difference(product(a,c),product(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),product(c,a)) )],[refute_0_11973,refute_0_11974]) ).

cnf(refute_0_11976,plain,
    difference(product(a,c),product(c,product(a,c))) = difference(product(a,c),product(c,product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),product(c,product(a,c))))]]) ).

cnf(refute_0_11977,plain,
    ( difference(product(a,c),product(c,product(a,c))) != difference(product(a,c),product(c,product(a,c)))
    | product(c,product(a,c)) != bigC(a,a,b)
    | difference(product(a,c),product(c,product(a,c))) = difference(product(a,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(c,product(a,c))),difference(product(a,c),product(c,product(a,c)))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_11978,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | difference(product(a,c),product(c,product(a,c))) = difference(product(a,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(a,c))),difference(product(a,c),product(c,product(a,c)))) )],[refute_0_11976,refute_0_11977]) ).

cnf(refute_0_11979,plain,
    difference(product(a,c),product(c,product(a,c))) = difference(product(a,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(a,a,b)) )],[refute_0_2622,refute_0_11978]) ).

cnf(refute_0_11980,plain,
    ( difference(product(a,c),product(c,product(a,c))) != difference(product(a,c),bigC(a,a,b))
    | product(c,a) != difference(product(a,c),product(c,product(a,c)))
    | product(c,a) = difference(product(a,c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,a),difference(product(a,c),product(c,product(a,c)))) ),[1],$fot(difference(product(a,c),bigC(a,a,b)))]]) ).

cnf(refute_0_11981,plain,
    ( product(c,a) != difference(product(a,c),product(c,product(a,c)))
    | product(c,a) = difference(product(a,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(a,c))),difference(product(a,c),bigC(a,a,b))) )],[refute_0_11979,refute_0_11980]) ).

cnf(refute_0_11982,plain,
    ( quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)) != difference(product(a,c),product(c,product(a,c)))
    | product(c,a) = difference(product(a,c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,a),difference(product(a,c),product(c,product(a,c)))) )],[refute_0_11975,refute_0_11981]) ).

cnf(refute_0_11983,plain,
    product(c,a) = difference(product(a,c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(a,product(b,c))),product(a,c)),difference(product(a,c),product(c,product(a,c)))) )],[refute_0_11963,refute_0_11982]) ).

cnf(refute_0_11984,plain,
    ( product(c,a) != difference(product(a,c),bigC(a,a,b))
    | difference(product(a,c),bigC(a,a,b)) = product(c,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,a))),bind(Y,$fot(difference(product(a,c),bigC(a,a,b))))]]) ).

cnf(refute_0_11985,plain,
    difference(product(a,c),bigC(a,a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(c,a),difference(product(a,c),bigC(a,a,b))) )],[refute_0_11983,refute_0_11984]) ).

cnf(refute_0_11986,plain,
    ( bigC(product(a,c),difference(product(a,c),bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,product(a,c)))
    | difference(product(a,c),bigC(a,a,b)) != product(c,a)
    | bigC(product(a,c),product(c,a),X_23) = product(bigC(a,a,b),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,product(a,c)))) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_11987,plain,
    ( bigC(product(a,c),difference(product(a,c),bigC(a,a,b)),X_23) != product(bigC(a,a,b),product(X_23,product(a,c)))
    | bigC(product(a,c),product(c,a),X_23) = product(bigC(a,a,b),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(a,a,b)),product(c,a)) )],[refute_0_11985,refute_0_11986]) ).

cnf(refute_0_11988,plain,
    bigC(product(a,c),product(c,a),X_23) = product(bigC(a,a,b),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),bigC(a,a,b)),X_23),product(bigC(a,a,b),product(X_23,product(a,c)))) )],[refute_0_11959,refute_0_11987]) ).

cnf(refute_0_11989,plain,
    ( bigC(product(a,c),product(c,a),X_23) != product(bigC(a,a,b),product(X_23,product(a,c)))
    | product(bigC(a,a,b),product(X_23,product(a,c))) = bigC(product(a,c),product(c,a),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(c,a),X_23))),bind(Y,$fot(product(bigC(a,a,b),product(X_23,product(a,c)))))]]) ).

cnf(refute_0_11990,plain,
    product(bigC(a,a,b),product(X_23,product(a,c))) = bigC(product(a,c),product(c,a),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,a),X_23),product(bigC(a,a,b),product(X_23,product(a,c)))) )],[refute_0_11988,refute_0_11989]) ).

cnf(refute_0_11991,plain,
    product(bigC(a,a,b),product(b,product(a,c))) = bigC(product(a,c),product(c,a),b),
    inference(subst,[],[refute_0_11990:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_11992,plain,
    ( bigC(product(a,c),product(c,a),b) != bigC(product(a,c),b,product(c,a))
    | product(bigC(a,a,b),product(b,product(a,c))) != bigC(product(a,c),product(c,a),b)
    | product(bigC(a,a,b),product(b,product(a,c))) = bigC(product(a,c),b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(b,product(a,c))))),bind(Y,$fot(bigC(product(a,c),product(c,a),b))),bind(Z,$fot(bigC(product(a,c),b,product(c,a))))]]) ).

cnf(refute_0_11993,plain,
    ( bigC(product(a,c),product(c,a),b) != bigC(product(a,c),b,product(c,a))
    | product(bigC(a,a,b),product(b,product(a,c))) = bigC(product(a,c),b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,product(a,c))),bigC(product(a,c),product(c,a),b)) )],[refute_0_11991,refute_0_11992]) ).

cnf(refute_0_11994,plain,
    product(bigC(a,a,b),product(b,product(a,c))) = bigC(product(a,c),b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,a),b),bigC(product(a,c),b,product(c,a))) )],[refute_0_11958,refute_0_11993]) ).

cnf(refute_0_11995,plain,
    ( c != product(bigC(a,a,b),product(b,product(a,c)))
    | product(bigC(a,a,b),product(b,product(a,c))) != bigC(product(a,c),b,product(c,a))
    | c = bigC(product(a,c),b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c,bigC(product(a,c),b,product(c,a))) ),[0],$fot(product(bigC(a,a,b),product(b,product(a,c))))]]) ).

cnf(refute_0_11996,plain,
    ( c != product(bigC(a,a,b),product(b,product(a,c)))
    | c = bigC(product(a,c),b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,product(a,c))),bigC(product(a,c),b,product(c,a))) )],[refute_0_11994,refute_0_11995]) ).

cnf(refute_0_11997,plain,
    c = bigC(product(a,c),b,product(c,a)),
    inference(resolve,[$cnf( $equal(c,product(bigC(a,a,b),product(b,product(a,c)))) )],[refute_0_6897,refute_0_11996]) ).

cnf(refute_0_11998,plain,
    ( c != bigC(product(a,c),b,product(c,a))
    | bigC(product(a,c),b,product(c,a)) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(bigC(product(a,c),b,product(c,a))))]]) ).

cnf(refute_0_11999,plain,
    bigC(product(a,c),b,product(c,a)) = c,
    inference(resolve,[$cnf( $equal(c,bigC(product(a,c),b,product(c,a))) )],[refute_0_11997,refute_0_11998]) ).

cnf(refute_0_12000,plain,
    bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = product(product(difference(product(c,a),bigC(a,a,c)),X_22),bigC(a,a,c)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,c))),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_12001,plain,
    ( bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) != product(product(difference(product(c,a),bigC(a,a,c)),X_22),bigC(a,a,c))
    | difference(product(c,a),bigC(a,a,c)) != product(a,c)
    | bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = product(product(product(a,c),X_22),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),product(product(difference(product(c,a),bigC(a,a,c)),X_22),bigC(a,a,c))) ),[1,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_12002,plain,
    ( bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) != product(product(difference(product(c,a),bigC(a,a,c)),X_22),bigC(a,a,c))
    | bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = product(product(product(a,c),X_22),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,c)),product(a,c)) )],[refute_0_8230,refute_0_12001]) ).

cnf(refute_0_12003,plain,
    bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = product(product(product(a,c),X_22),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),product(product(difference(product(c,a),bigC(a,a,c)),X_22),bigC(a,a,c))) )],[refute_0_12000,refute_0_12002]) ).

cnf(refute_0_12004,plain,
    bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)))]]) ).

cnf(refute_0_12005,plain,
    ( bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) != bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a))
    | difference(product(c,a),bigC(a,a,c)) != product(a,c)
    | bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = bigC(product(a,c),X_22,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_12006,plain,
    ( difference(product(c,a),bigC(a,a,c)) != product(a,c)
    | bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = bigC(product(a,c),X_22,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a))) )],[refute_0_12004,refute_0_12005]) ).

cnf(refute_0_12007,plain,
    bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) = bigC(product(a,c),X_22,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,a,c)),product(a,c)) )],[refute_0_8230,refute_0_12006]) ).

cnf(refute_0_12008,plain,
    ( bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) != bigC(product(a,c),X_22,product(c,a))
    | bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) != product(product(product(a,c),X_22),bigC(a,a,c))
    | bigC(product(a,c),X_22,product(c,a)) = product(product(product(a,c),X_22),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),product(product(product(a,c),X_22),bigC(a,a,c))) ),[0],$fot(bigC(product(a,c),X_22,product(c,a)))]]) ).

cnf(refute_0_12009,plain,
    ( bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)) != product(product(product(a,c),X_22),bigC(a,a,c))
    | bigC(product(a,c),X_22,product(c,a)) = product(product(product(a,c),X_22),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),bigC(product(a,c),X_22,product(c,a))) )],[refute_0_12007,refute_0_12008]) ).

cnf(refute_0_12010,plain,
    bigC(product(a,c),X_22,product(c,a)) = product(product(product(a,c),X_22),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,a),bigC(a,a,c)),X_22,product(c,a)),product(product(product(a,c),X_22),bigC(a,a,c))) )],[refute_0_12003,refute_0_12009]) ).

cnf(refute_0_12011,plain,
    ( bigC(product(a,c),X_22,product(c,a)) != product(product(product(a,c),X_22),bigC(a,a,c))
    | product(product(product(a,c),X_22),bigC(a,a,c)) = bigC(product(a,c),X_22,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),X_22,product(c,a)))),bind(Y,$fot(product(product(product(a,c),X_22),bigC(a,a,c))))]]) ).

cnf(refute_0_12012,plain,
    product(product(product(a,c),X_22),bigC(a,a,c)) = bigC(product(a,c),X_22,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_22,product(c,a)),product(product(product(a,c),X_22),bigC(a,a,c))) )],[refute_0_12010,refute_0_12011]) ).

cnf(refute_0_12013,plain,
    product(product(product(a,c),b),bigC(a,a,c)) = bigC(product(a,c),b,product(c,a)),
    inference(subst,[],[refute_0_12012:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_12014,plain,
    ( bigC(product(a,c),b,product(c,a)) != c
    | product(product(product(a,c),b),bigC(a,a,c)) != bigC(product(a,c),b,product(c,a))
    | product(product(product(a,c),b),bigC(a,a,c)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),bigC(a,a,c)))),bind(Y,$fot(bigC(product(a,c),b,product(c,a)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_12015,plain,
    ( bigC(product(a,c),b,product(c,a)) != c
    | product(product(product(a,c),b),bigC(a,a,c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(a,a,c)),bigC(product(a,c),b,product(c,a))) )],[refute_0_12013,refute_0_12014]) ).

cnf(refute_0_12016,plain,
    product(product(product(a,c),b),bigC(a,a,c)) = c,
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,product(c,a)),c) )],[refute_0_11999,refute_0_12015]) ).

cnf(refute_0_12017,plain,
    difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))))]]) ).

cnf(refute_0_12018,plain,
    ( difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) != difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))
    | product(product(product(a,c),b),bigC(a,a,c)) != c
    | difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = difference(bigC(a,a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_12019,plain,
    ( product(product(product(a,c),b),bigC(a,a,c)) != c
    | difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = difference(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))) )],[refute_0_12017,refute_0_12018]) ).

cnf(refute_0_12020,plain,
    difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = difference(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(a,a,c)),c) )],[refute_0_12016,refute_0_12019]) ).

cnf(refute_0_12021,plain,
    ( difference(bigC(a,a,c),c) != product(b,product(c,a))
    | difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) != difference(bigC(a,a,c),c)
    | difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))))),bind(Y,$fot(difference(bigC(a,a,c),c))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_12022,plain,
    ( difference(bigC(a,a,c),c) != product(b,product(c,a))
    | difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),difference(bigC(a,a,c),c)) )],[refute_0_12020,refute_0_12021]) ).

cnf(refute_0_12023,plain,
    difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),c),product(b,product(c,a))) )],[refute_0_11957,refute_0_12022]) ).

cnf(refute_0_12024,plain,
    ( difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))) != product(b,product(c,a))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) != difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))) ),[1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_12025,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) != difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c))),product(b,product(c,a))) )],[refute_0_12023,refute_0_12024]) ).

cnf(refute_0_12026,plain,
    quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),difference(bigC(a,a,c),product(product(product(a,c),b),bigC(a,a,c)))) )],[refute_0_11745,refute_0_12025]) ).

cnf(refute_0_12027,plain,
    quotient(quotient(product(a,product(c,b)),product(product(a,product(c,b)),bigC(b,b,c))),product(a,product(c,b))) = difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,product(c,b)))),bind(X_29,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_12028,plain,
    ( product(product(a,product(c,b)),bigC(b,b,c)) != product(product(a,c),b)
    | quotient(quotient(product(a,product(c,b)),product(product(a,product(c,b)),bigC(b,b,c))),product(a,product(c,b))) != difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,product(c,b)),bigC(b,b,c))),product(a,product(c,b))),difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))) ),[0,0,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_12029,plain,
    ( quotient(quotient(product(a,product(c,b)),product(product(a,product(c,b)),bigC(b,b,c))),product(a,product(c,b))) != difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(b,b,c)),product(product(a,c),b)) )],[refute_0_7879,refute_0_12028]) ).

cnf(refute_0_12030,plain,
    quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,product(c,b)),bigC(b,b,c))),product(a,product(c,b))),difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))) )],[refute_0_12027,refute_0_12029]) ).

cnf(refute_0_12031,plain,
    bigC(b,a,product(c,c)) = bigC(b,a,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(b,a,product(c,c)))]]) ).

cnf(refute_0_12032,plain,
    ( bigC(b,a,product(c,c)) != bigC(b,a,product(c,c))
    | product(c,c) != c
    | bigC(b,a,product(c,c)) = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,a,product(c,c)),bigC(b,a,product(c,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_12033,plain,
    ( product(c,c) != c
    | bigC(b,a,product(c,c)) = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,c)),bigC(b,a,product(c,c))) )],[refute_0_12031,refute_0_12032]) ).

cnf(refute_0_12034,plain,
    bigC(b,a,product(c,c)) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_12033]) ).

cnf(refute_0_12035,plain,
    bigC(product(b,b),a,product(c,c)) = bigC(product(b,b),a,product(c,c)),
    introduced(tautology,[refl,[$fot(bigC(product(b,b),a,product(c,c)))]]) ).

cnf(refute_0_12036,plain,
    ( bigC(product(b,b),a,product(c,c)) != bigC(product(b,b),a,product(c,c))
    | product(b,b) != b
    | bigC(product(b,b),a,product(c,c)) = bigC(b,a,product(c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,b),a,product(c,c)),bigC(product(b,b),a,product(c,c))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_12037,plain,
    ( product(b,b) != b
    | bigC(product(b,b),a,product(c,c)) = bigC(b,a,product(c,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),a,product(c,c)),bigC(product(b,b),a,product(c,c))) )],[refute_0_12035,refute_0_12036]) ).

cnf(refute_0_12038,plain,
    bigC(product(b,b),a,product(c,c)) = bigC(b,a,product(c,c)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_12037]) ).

cnf(refute_0_12039,plain,
    ( bigC(b,a,product(c,c)) != bigC(b,a,c)
    | bigC(product(b,b),a,product(c,c)) != bigC(b,a,product(c,c))
    | bigC(product(b,b),a,product(c,c)) = bigC(b,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,b),a,product(c,c)))),bind(Y,$fot(bigC(b,a,product(c,c)))),bind(Z,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_12040,plain,
    ( bigC(b,a,product(c,c)) != bigC(b,a,c)
    | bigC(product(b,b),a,product(c,c)) = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),a,product(c,c)),bigC(b,a,product(c,c))) )],[refute_0_12038,refute_0_12039]) ).

cnf(refute_0_12041,plain,
    bigC(product(b,b),a,product(c,c)) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,c)),bigC(b,a,c)) )],[refute_0_12034,refute_0_12040]) ).

cnf(refute_0_12042,plain,
    ( bigC(b,a,c) != c
    | bigC(product(b,b),a,product(c,c)) != bigC(b,a,c)
    | bigC(product(b,b),a,product(c,c)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,b),a,product(c,c)))),bind(Y,$fot(bigC(b,a,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_12043,plain,
    ( bigC(b,a,c) != c
    | bigC(product(b,b),a,product(c,c)) = c ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),a,product(c,c)),bigC(b,a,c)) )],[refute_0_12041,refute_0_12042]) ).

cnf(refute_0_12044,plain,
    bigC(product(b,b),a,product(c,c)) = c,
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_12043]) ).

cnf(refute_0_12045,plain,
    product(bigC(b,b,c),product(a,product(c,b))) = bigC(product(b,b),a,product(c,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(a)),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12046,plain,
    ( bigC(product(b,b),a,product(c,c)) != c
    | product(bigC(b,b,c),product(a,product(c,b))) != bigC(product(b,b),a,product(c,c))
    | product(bigC(b,b,c),product(a,product(c,b))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(a,product(c,b))))),bind(Y,$fot(bigC(product(b,b),a,product(c,c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_12047,plain,
    ( bigC(product(b,b),a,product(c,c)) != c
    | product(bigC(b,b,c),product(a,product(c,b))) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(a,product(c,b))),bigC(product(b,b),a,product(c,c))) )],[refute_0_12045,refute_0_12046]) ).

cnf(refute_0_12048,plain,
    product(bigC(b,b,c),product(a,product(c,b))) = c,
    inference(resolve,[$cnf( $equal(bigC(product(b,b),a,product(c,c)),c) )],[refute_0_12044,refute_0_12047]) ).

cnf(refute_0_12049,plain,
    difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) = difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))))]]) ).

cnf(refute_0_12050,plain,
    ( difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) != difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))
    | product(bigC(b,b,c),product(a,product(c,b))) != c
    | difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) = difference(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))),difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_12051,plain,
    ( product(bigC(b,b,c),product(a,product(c,b))) != c
    | difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) = difference(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))),difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))) )],[refute_0_12049,refute_0_12050]) ).

cnf(refute_0_12052,plain,
    difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) = difference(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(a,product(c,b))),c) )],[refute_0_12048,refute_0_12051]) ).

cnf(refute_0_12053,plain,
    ( difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))) != difference(product(a,product(c,b)),c)
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) != difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = difference(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))) ),[1],$fot(difference(product(a,product(c,b)),c))]]) ).

cnf(refute_0_12054,plain,
    ( quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) != difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = difference(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b)))),difference(product(a,product(c,b)),c)) )],[refute_0_12052,refute_0_12053]) ).

cnf(refute_0_12055,plain,
    quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = difference(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),difference(product(a,product(c,b)),product(bigC(b,b,c),product(a,product(c,b))))) )],[refute_0_12030,refute_0_12054]) ).

cnf(refute_0_12056,plain,
    quotient(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)) = bigC(a,a,c),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_12057,plain,
    ( product(bigC(a,a,c),product(product(a,c),b)) != product(a,product(c,b))
    | quotient(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)) != bigC(a,a,c)
    | quotient(product(a,product(c,b)),product(product(a,c),b)) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)),bigC(a,a,c)) ),[0,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_12058,plain,
    ( quotient(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)) != bigC(a,a,c)
    | quotient(product(a,product(c,b)),product(product(a,c),b)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(a,c),b)),product(a,product(c,b))) )],[refute_0_11742,refute_0_12057]) ).

cnf(refute_0_12059,plain,
    quotient(product(a,product(c,b)),product(product(a,c),b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)),bigC(a,a,c)) )],[refute_0_12056,refute_0_12058]) ).

cnf(refute_0_12060,plain,
    quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))))]]) ).

cnf(refute_0_12061,plain,
    ( quotient(product(a,product(c,b)),product(product(a,c),b)) != bigC(a,a,c)
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) != quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b)))
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = quotient(bigC(a,a,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b)))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12062,plain,
    ( quotient(product(a,product(c,b)),product(product(a,c),b)) != bigC(a,a,c)
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = quotient(bigC(a,a,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b)))) )],[refute_0_12060,refute_0_12061]) ).

cnf(refute_0_12063,plain,
    quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) = quotient(bigC(a,a,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(product(a,c),b)),bigC(a,a,c)) )],[refute_0_12059,refute_0_12062]) ).

cnf(refute_0_12064,plain,
    ( quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) != difference(product(a,product(c,b)),c)
    | quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) != quotient(bigC(a,a,c),product(a,product(c,b)))
    | quotient(bigC(a,a,c),product(a,product(c,b))) = difference(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),difference(product(a,product(c,b)),c)) ),[0],$fot(quotient(bigC(a,a,c),product(a,product(c,b))))]]) ).

cnf(refute_0_12065,plain,
    ( quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))) != difference(product(a,product(c,b)),c)
    | quotient(bigC(a,a,c),product(a,product(c,b))) = difference(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),quotient(bigC(a,a,c),product(a,product(c,b)))) )],[refute_0_12063,refute_0_12064]) ).

cnf(refute_0_12066,plain,
    quotient(bigC(a,a,c),product(a,product(c,b))) = difference(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(c,b)),product(product(a,c),b)),product(a,product(c,b))),difference(product(a,product(c,b)),c)) )],[refute_0_12055,refute_0_12065]) ).

cnf(refute_0_12067,plain,
    quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)))]]) ).

cnf(refute_0_12068,plain,
    ( quotient(bigC(a,a,c),product(a,product(c,b))) != difference(product(a,product(c,b)),c)
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) != quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c))) ),[1,0],$fot(difference(product(a,product(c,b)),c))]]) ).

cnf(refute_0_12069,plain,
    ( quotient(bigC(a,a,c),product(a,product(c,b))) != difference(product(a,product(c,b)),c)
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c))) )],[refute_0_12067,refute_0_12068]) ).

cnf(refute_0_12070,plain,
    quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) = quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(a,product(c,b))),difference(product(a,product(c,b)),c)) )],[refute_0_12066,refute_0_12069]) ).

cnf(refute_0_12071,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) != product(b,product(c,a))
    | quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) != quotient(difference(product(a,product(c,b)),c),bigC(a,a,c))
    | quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),product(b,product(c,a))) ),[0],$fot(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)))]]) ).

cnf(refute_0_12072,plain,
    ( quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)) != product(b,product(c,a))
    | quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),quotient(difference(product(a,product(c,b)),c),bigC(a,a,c))) )],[refute_0_12070,refute_0_12071]) ).

cnf(refute_0_12073,plain,
    quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,c),product(a,product(c,b))),bigC(a,a,c)),product(b,product(c,a))) )],[refute_0_12026,refute_0_12072]) ).

cnf(refute_0_12074,plain,
    ( product(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),bigC(a,a,c)) != difference(product(a,product(c,b)),c)
    | quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)) != product(b,product(c,a))
    | product(product(b,product(c,a)),bigC(a,a,c)) = difference(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),bigC(a,a,c)),difference(product(a,product(c,b)),c)) ),[0,0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_12075,plain,
    ( product(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),bigC(a,a,c)) != difference(product(a,product(c,b)),c)
    | product(product(b,product(c,a)),bigC(a,a,c)) = difference(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),product(b,product(c,a))) )],[refute_0_12073,refute_0_12074]) ).

cnf(refute_0_12076,plain,
    product(product(b,product(c,a)),bigC(a,a,c)) = difference(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(quotient(difference(product(a,product(c,b)),c),bigC(a,a,c)),bigC(a,a,c)),difference(product(a,product(c,b)),c)) )],[refute_0_8949,refute_0_12075]) ).

cnf(refute_0_12077,plain,
    quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(product(b,c),product(c,a)),product(c,a)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(b,c))),bind(X_16,$fot(product(c,a)))]]) ).

cnf(refute_0_12078,plain,
    product(quotient(product(b,a),product(c,a)),product(c,a)) = product(b,a),
    inference(subst,[],[sos04:[bind(A,$fot(product(b,a))),bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_12079,plain,
    ( product(quotient(product(b,a),product(c,a)),product(c,a)) != product(b,a)
    | quotient(product(b,a),product(c,a)) != product(b,c)
    | product(product(b,c),product(c,a)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,a),product(c,a)),product(c,a)),product(b,a)) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_12080,plain,
    ( product(quotient(product(b,a),product(c,a)),product(c,a)) != product(b,a)
    | product(product(b,c),product(c,a)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(c,a)),product(b,c)) )],[refute_0_3859,refute_0_12079]) ).

cnf(refute_0_12081,plain,
    product(product(b,c),product(c,a)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,a),product(c,a)),product(c,a)),product(b,a)) )],[refute_0_12078,refute_0_12080]) ).

cnf(refute_0_12082,plain,
    ( product(product(b,c),product(c,a)) != product(b,a)
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(product(b,c),product(c,a)),product(c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(product(b,c),product(c,a)),product(c,a))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12083,plain,
    ( quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(product(b,c),product(c,a)),product(c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,a)),product(b,a)) )],[refute_0_12081,refute_0_12082]) ).

cnf(refute_0_12084,plain,
    quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,a),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(product(b,c),product(c,a)),product(c,a))) )],[refute_0_12077,refute_0_12083]) ).

cnf(refute_0_12085,plain,
    product(product(b,product(c,a)),bigC(a,c,a)) = product(product(b,product(c,a)),bigC(a,c,a)),
    introduced(tautology,[refl,[$fot(product(product(b,product(c,a)),bigC(a,c,a)))]]) ).

cnf(refute_0_12086,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(product(b,product(c,a)),bigC(a,c,a)) != product(product(b,product(c,a)),bigC(a,c,a))
    | product(product(b,product(c,a)),bigC(a,c,a)) = product(product(b,product(c,a)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,c,a)),product(product(b,product(c,a)),bigC(a,c,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12087,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(product(b,product(c,a)),bigC(a,c,a)) = product(product(b,product(c,a)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,c,a)),product(product(b,product(c,a)),bigC(a,c,a))) )],[refute_0_12085,refute_0_12086]) ).

cnf(refute_0_12088,plain,
    product(product(b,product(c,a)),bigC(a,c,a)) = product(product(b,product(c,a)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_12087]) ).

cnf(refute_0_12089,plain,
    product(product(b,product(a,c)),product(product(c,a),a)) = product(product(b,product(c,a)),bigC(a,c,a)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(b)),bind(C,$fot(product(c,a))),bind(D,$fot(a)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_12090,plain,
    product(product(product(b,c),c),product(B,D)) = product(product(product(b,c),c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),product(B,D)))]]) ).

cnf(refute_0_12091,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(B,D)) != product(product(product(b,c),c),product(B,D))
    | product(product(product(b,c),c),product(B,D)) = product(product(b,product(a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),product(B,D)),product(product(product(b,c),c),product(B,D))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_12092,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),product(B,D)) = product(product(b,product(a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(B,D)),product(product(product(b,c),c),product(B,D))) )],[refute_0_12090,refute_0_12091]) ).

cnf(refute_0_12093,plain,
    product(product(product(b,c),c),product(B,D)) = product(product(b,product(a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_12092]) ).

cnf(refute_0_12094,plain,
    ( product(product(product(b,c),B),product(c,D)) != product(product(product(b,c),c),product(B,D))
    | product(product(product(b,c),c),product(B,D)) != product(product(b,product(a,c)),product(B,D))
    | product(product(product(b,c),B),product(c,D)) = product(product(b,product(a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(b,c),B),product(c,D)),product(product(b,product(a,c)),product(B,D))) ),[0],$fot(product(product(product(b,c),c),product(B,D)))]]) ).

cnf(refute_0_12095,plain,
    ( product(product(product(b,c),B),product(c,D)) != product(product(product(b,c),c),product(B,D))
    | product(product(product(b,c),B),product(c,D)) = product(product(b,product(a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),product(B,D)),product(product(b,product(a,c)),product(B,D))) )],[refute_0_12093,refute_0_12094]) ).

cnf(refute_0_12096,plain,
    product(product(product(b,c),B),product(c,D)) = product(product(b,product(a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),B),product(c,D)),product(product(product(b,c),c),product(B,D))) )],[refute_0_4707,refute_0_12095]) ).

cnf(refute_0_12097,plain,
    product(product(product(b,c),product(c,a)),product(c,a)) = product(product(b,product(a,c)),product(product(c,a),a)),
    inference(subst,[],[refute_0_12096:[bind(B,$fot(product(c,a))),bind(D,$fot(a))]]) ).

cnf(refute_0_12098,plain,
    ( product(product(b,product(a,c)),product(product(c,a),a)) != product(product(b,product(c,a)),bigC(a,c,a))
    | product(product(product(b,c),product(c,a)),product(c,a)) != product(product(b,product(a,c)),product(product(c,a),a))
    | product(product(product(b,c),product(c,a)),product(c,a)) = product(product(b,product(c,a)),bigC(a,c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(c,a)),product(c,a)))),bind(Y,$fot(product(product(b,product(a,c)),product(product(c,a),a)))),bind(Z,$fot(product(product(b,product(c,a)),bigC(a,c,a))))]]) ).

cnf(refute_0_12099,plain,
    ( product(product(b,product(a,c)),product(product(c,a),a)) != product(product(b,product(c,a)),bigC(a,c,a))
    | product(product(product(b,c),product(c,a)),product(c,a)) = product(product(b,product(c,a)),bigC(a,c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(c,a)),product(product(b,product(a,c)),product(product(c,a),a))) )],[refute_0_12097,refute_0_12098]) ).

cnf(refute_0_12100,plain,
    product(product(product(b,c),product(c,a)),product(c,a)) = product(product(b,product(c,a)),bigC(a,c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(c,a),a)),product(product(b,product(c,a)),bigC(a,c,a))) )],[refute_0_12089,refute_0_12099]) ).

cnf(refute_0_12101,plain,
    ( product(product(product(b,c),product(c,a)),product(c,a)) != product(product(b,product(c,a)),bigC(a,c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(product(b,c),product(c,a)),product(c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,product(c,a)),bigC(a,c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))))),bind(Y,$fot(product(product(product(b,c),product(c,a)),product(c,a)))),bind(Z,$fot(product(product(b,product(c,a)),bigC(a,c,a))))]]) ).

cnf(refute_0_12102,plain,
    ( product(product(product(b,c),product(c,a)),product(c,a)) != product(product(b,product(c,a)),bigC(a,c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,product(c,a)),bigC(a,c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(product(b,c),product(c,a)),product(c,a))) )],[refute_0_12077,refute_0_12101]) ).

cnf(refute_0_12103,plain,
    quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,product(c,a)),bigC(a,c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(c,a)),product(c,a)),product(product(b,product(c,a)),bigC(a,c,a))) )],[refute_0_12100,refute_0_12102]) ).

cnf(refute_0_12104,plain,
    ( product(product(b,product(c,a)),bigC(a,c,a)) != product(product(b,product(c,a)),bigC(a,a,c))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(b,product(c,a)),bigC(a,c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,product(c,a)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))))),bind(Y,$fot(product(product(b,product(c,a)),bigC(a,c,a)))),bind(Z,$fot(product(product(b,product(c,a)),bigC(a,a,c))))]]) ).

cnf(refute_0_12105,plain,
    ( product(product(b,product(c,a)),bigC(a,c,a)) != product(product(b,product(c,a)),bigC(a,a,c))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,product(c,a)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(b,product(c,a)),bigC(a,c,a))) )],[refute_0_12103,refute_0_12104]) ).

cnf(refute_0_12106,plain,
    quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) = product(product(b,product(c,a)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,c,a)),product(product(b,product(c,a)),bigC(a,a,c))) )],[refute_0_12088,refute_0_12105]) ).

cnf(refute_0_12107,plain,
    ( quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(b,a),product(c,a))
    | quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(b,product(c,a)),bigC(a,a,c))
    | product(product(b,product(c,a)),bigC(a,a,c)) = product(product(b,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(b,a),product(c,a))) ),[0],$fot(product(product(b,product(c,a)),bigC(a,a,c)))]]) ).

cnf(refute_0_12108,plain,
    ( quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(b,a),product(c,a))
    | product(product(b,product(c,a)),bigC(a,a,c)) = product(product(b,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(b,product(c,a)),bigC(a,a,c))) )],[refute_0_12106,refute_0_12107]) ).

cnf(refute_0_12109,plain,
    ( product(product(b,a),product(c,a)) != product(product(b,c),a)
    | product(product(b,product(c,a)),bigC(a,a,c)) != product(product(b,a),product(c,a))
    | product(product(b,product(c,a)),bigC(a,a,c)) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,a,c)),product(product(b,a),product(c,a))) ),[1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_12110,plain,
    ( product(product(b,product(c,a)),bigC(a,a,c)) != product(product(b,a),product(c,a))
    | product(product(b,product(c,a)),bigC(a,a,c)) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,a)),product(product(b,c),a)) )],[refute_0_4982,refute_0_12109]) ).

cnf(refute_0_12111,plain,
    ( quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))) != product(product(b,a),product(c,a))
    | product(product(b,product(c,a)),bigC(a,a,c)) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,a,c)),product(product(b,a),product(c,a))) )],[refute_0_12108,refute_0_12110]) ).

cnf(refute_0_12112,plain,
    product(product(b,product(c,a)),bigC(a,a,c)) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(product(c,a),product(product(c,a),product(b,c)))),product(product(b,a),product(c,a))) )],[refute_0_12084,refute_0_12111]) ).

cnf(refute_0_12113,plain,
    ( product(product(b,product(c,a)),bigC(a,a,c)) != difference(product(a,product(c,b)),c)
    | product(product(b,product(c,a)),bigC(a,a,c)) != product(product(b,c),a)
    | product(product(b,c),a) = difference(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,a,c)),difference(product(a,product(c,b)),c)) ),[0],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_12114,plain,
    ( product(product(b,product(c,a)),bigC(a,a,c)) != difference(product(a,product(c,b)),c)
    | product(product(b,c),a) = difference(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,a,c)),product(product(b,c),a)) )],[refute_0_12112,refute_0_12113]) ).

cnf(refute_0_12115,plain,
    product(product(b,c),a) = difference(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),bigC(a,a,c)),difference(product(a,product(c,b)),c)) )],[refute_0_12076,refute_0_12114]) ).

cnf(refute_0_12116,plain,
    ( product(product(b,c),a) != difference(product(a,product(c,b)),c)
    | difference(product(a,product(c,b)),c) = product(product(b,c),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(b,c),a))),bind(Y,$fot(difference(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_12117,plain,
    difference(product(a,product(c,b)),c) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(product(product(b,c),a),difference(product(a,product(c,b)),c)) )],[refute_0_12115,refute_0_12116]) ).

cnf(refute_0_12118,plain,
    difference(c,difference(product(a,product(c,b)),c)) = difference(c,difference(product(a,product(c,b)),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_12119,plain,
    ( difference(c,difference(product(a,product(c,b)),c)) != difference(c,difference(product(a,product(c,b)),c))
    | difference(product(a,product(c,b)),c) != product(product(b,c),a)
    | difference(c,difference(product(a,product(c,b)),c)) = difference(c,product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(a,product(c,b)),c)),difference(c,difference(product(a,product(c,b)),c))) ),[1,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_12120,plain,
    ( difference(product(a,product(c,b)),c) != product(product(b,c),a)
    | difference(c,difference(product(a,product(c,b)),c)) = difference(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(c,b)),c)),difference(c,difference(product(a,product(c,b)),c))) )],[refute_0_12118,refute_0_12119]) ).

cnf(refute_0_12121,plain,
    difference(c,difference(product(a,product(c,b)),c)) = difference(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),c),product(product(b,c),a)) )],[refute_0_12117,refute_0_12120]) ).

cnf(refute_0_12122,plain,
    ( difference(c,difference(product(a,product(c,b)),c)) != difference(c,product(product(b,c),a))
    | difference(c,product(product(b,c),a)) != quotient(bigC(a,a,c),c)
    | difference(c,difference(product(a,product(c,b)),c)) = quotient(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,difference(product(a,product(c,b)),c)))),bind(Y,$fot(difference(c,product(product(b,c),a)))),bind(Z,$fot(quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_12123,plain,
    ( difference(c,product(product(b,c),a)) != quotient(bigC(a,a,c),c)
    | difference(c,difference(product(a,product(c,b)),c)) = quotient(bigC(a,a,c),c) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(c,b)),c)),difference(c,product(product(b,c),a))) )],[refute_0_12121,refute_0_12122]) ).

cnf(refute_0_12124,plain,
    difference(c,difference(product(a,product(c,b)),c)) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,c),a)),quotient(bigC(a,a,c),c)) )],[refute_0_8948,refute_0_12123]) ).

cnf(refute_0_12125,plain,
    ( difference(c,difference(product(a,product(c,b)),c)) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | difference(c,difference(product(a,product(c,b)),c)) != quotient(bigC(a,a,c),c)
    | quotient(bigC(a,a,c),c) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(a,product(c,b)),c)),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) ),[0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_12126,plain,
    ( difference(c,difference(product(a,product(c,b)),c)) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(bigC(a,a,c),c) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(c,b)),c)),quotient(bigC(a,a,c),c)) )],[refute_0_12124,refute_0_12125]) ).

cnf(refute_0_12127,plain,
    quotient(product(difference(quotient(c,b),quotient(a,c)),c),c) = difference(quotient(c,b),quotient(a,c)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(quotient(c,b),quotient(a,c)))),bind(B,$fot(c))]]) ).

cnf(refute_0_12128,plain,
    product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) = product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)))]]) ).

cnf(refute_0_12129,plain,
    ( product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(product(difference(quotient(c,b),quotient(a,c)),c),c) != difference(quotient(c,b),quotient(a,c))
    | product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) = product(c,difference(quotient(c,b),quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) ),[1,1],$fot(difference(quotient(c,b),quotient(a,c)))]]) ).

cnf(refute_0_12130,plain,
    ( quotient(product(difference(quotient(c,b),quotient(a,c)),c),c) != difference(quotient(c,b),quotient(a,c))
    | product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) = product(c,difference(quotient(c,b),quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) )],[refute_0_12128,refute_0_12129]) ).

cnf(refute_0_12131,plain,
    product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) = product(c,difference(quotient(c,b),quotient(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(difference(quotient(c,b),quotient(a,c)),c),c),difference(quotient(c,b),quotient(a,c))) )],[refute_0_12127,refute_0_12130]) ).

cnf(refute_0_12132,plain,
    ( product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)) != product(c,difference(quotient(c,b),quotient(a,c)))
    | quotient(bigC(a,a,c),c) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(bigC(a,a,c),c) = product(c,difference(quotient(c,b),quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),c),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) ),[1],$fot(product(c,difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_12133,plain,
    ( quotient(bigC(a,a,c),c) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(bigC(a,a,c),c) = product(c,difference(quotient(c,b),quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c)),product(c,difference(quotient(c,b),quotient(a,c)))) )],[refute_0_12131,refute_0_12132]) ).

cnf(refute_0_12134,plain,
    ( difference(c,difference(product(a,product(c,b)),c)) != product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))
    | quotient(bigC(a,a,c),c) = product(c,difference(quotient(c,b),quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) )],[refute_0_12126,refute_0_12133]) ).

cnf(refute_0_12135,plain,
    quotient(bigC(a,a,c),c) = product(c,difference(quotient(c,b),quotient(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(c,b)),c)),product(c,quotient(product(difference(quotient(c,b),quotient(a,c)),c),c))) )],[refute_0_2648,refute_0_12134]) ).

cnf(refute_0_12136,plain,
    ( quotient(bigC(a,a,c),c) != product(c,difference(quotient(c,b),quotient(a,c)))
    | product(c,difference(quotient(c,b),quotient(a,c))) = quotient(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(bigC(a,a,c),c))),bind(Y,$fot(product(c,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_12137,plain,
    product(c,difference(quotient(c,b),quotient(a,c))) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(c,difference(quotient(c,b),quotient(a,c)))) )],[refute_0_12135,refute_0_12136]) ).

cnf(refute_0_12138,plain,
    quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),
    introduced(tautology,[refl,[$fot(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_12139,plain,
    ( product(c,difference(quotient(c,b),quotient(a,c))) != quotient(bigC(a,a,c),c)
    | quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) != quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))
    | quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = quotient(c,quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))) ),[1,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_12140,plain,
    ( product(c,difference(quotient(c,b),quotient(a,c))) != quotient(bigC(a,a,c),c)
    | quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = quotient(c,quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),quotient(c,product(c,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_12138,refute_0_12139]) ).

cnf(refute_0_12141,plain,
    quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) = quotient(c,quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(c,difference(quotient(c,b),quotient(a,c))),quotient(bigC(a,a,c),c)) )],[refute_0_12137,refute_0_12140]) ).

cnf(refute_0_12142,plain,
    ( quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) != difference(c,product(a,product(c,b)))
    | quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) != quotient(c,quotient(bigC(a,a,c),c))
    | quotient(c,quotient(bigC(a,a,c),c)) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),difference(c,product(a,product(c,b)))) ),[0],$fot(quotient(c,quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_12143,plain,
    ( quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))) != difference(c,product(a,product(c,b)))
    | quotient(c,quotient(bigC(a,a,c),c)) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),quotient(c,quotient(bigC(a,a,c),c))) )],[refute_0_12141,refute_0_12142]) ).

cnf(refute_0_12144,plain,
    quotient(c,quotient(bigC(a,a,c),c)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,difference(quotient(c,b),quotient(a,c)))),difference(c,product(a,product(c,b)))) )],[refute_0_2644,refute_0_12143]) ).

cnf(refute_0_12145,plain,
    difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = product(difference(difference(c,product(a,c)),c),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(c)),bind(X_32,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_12146,plain,
    difference(quotient(c,difference(c,product(b,a))),c) = difference(c,product(b,a)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(difference(c,product(b,a)))),bind(X_9,$fot(c))]]) ).

cnf(refute_0_12147,plain,
    ( difference(quotient(c,difference(c,product(b,a))),c) != difference(c,product(b,a))
    | quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | difference(difference(c,product(a,c)),c) = difference(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,difference(c,product(b,a))),c),difference(c,product(b,a))) ),[0,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_12148,plain,
    ( difference(quotient(c,difference(c,product(b,a))),c) != difference(c,product(b,a))
    | difference(difference(c,product(a,c)),c) = difference(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_12147]) ).

cnf(refute_0_12149,plain,
    difference(difference(c,product(a,c)),c) = difference(c,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(quotient(c,difference(c,product(b,a))),c),difference(c,product(b,a))) )],[refute_0_12146,refute_0_12148]) ).

cnf(refute_0_12150,plain,
    ( difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != product(difference(difference(c,product(a,c)),c),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),product(difference(difference(c,product(a,c)),c),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) ),[1,0],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_12151,plain,
    ( difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != product(difference(difference(c,product(a,c)),c),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),c),difference(c,product(b,a))) )],[refute_0_12149,refute_0_12150]) ).

cnf(refute_0_12152,plain,
    difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),product(difference(difference(c,product(a,c)),c),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) )],[refute_0_12145,refute_0_12151]) ).

cnf(refute_0_12153,plain,
    difference(product(b,a),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(difference(c,product(a,c)),c)),
    introduced(tautology,[refl,[$fot(difference(product(b,a),difference(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_12154,plain,
    ( difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | difference(product(b,a),difference(difference(c,product(a,c)),c)) != difference(product(b,a),difference(difference(c,product(a,c)),c))
    | difference(product(b,a),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(a,c)),c)),difference(product(b,a),difference(difference(c,product(a,c)),c))) ),[1,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_12155,plain,
    ( difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | difference(product(b,a),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(a,c)),c)),difference(product(b,a),difference(difference(c,product(a,c)),c))) )],[refute_0_12153,refute_0_12154]) ).

cnf(refute_0_12156,plain,
    difference(product(b,a),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),c),difference(c,product(b,a))) )],[refute_0_12149,refute_0_12155]) ).

cnf(refute_0_12157,plain,
    product(c,difference(c,product(b,a))) = product(b,a),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_12158,plain,
    product(c,difference(difference(c,product(a,c)),c)) = product(c,difference(difference(c,product(a,c)),c)),
    introduced(tautology,[refl,[$fot(product(c,difference(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_12159,plain,
    ( difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | product(c,difference(difference(c,product(a,c)),c)) != product(c,difference(difference(c,product(a,c)),c))
    | product(c,difference(difference(c,product(a,c)),c)) = product(c,difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(difference(c,product(a,c)),c)),product(c,difference(difference(c,product(a,c)),c))) ),[1,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_12160,plain,
    ( difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | product(c,difference(difference(c,product(a,c)),c)) = product(c,difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(difference(c,product(a,c)),c)),product(c,difference(difference(c,product(a,c)),c))) )],[refute_0_12158,refute_0_12159]) ).

cnf(refute_0_12161,plain,
    product(c,difference(difference(c,product(a,c)),c)) = product(c,difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),c),difference(c,product(b,a))) )],[refute_0_12149,refute_0_12160]) ).

cnf(refute_0_12162,plain,
    ( product(c,difference(c,product(b,a))) != product(b,a)
    | product(c,difference(difference(c,product(a,c)),c)) != product(c,difference(c,product(b,a)))
    | product(c,difference(difference(c,product(a,c)),c)) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,difference(difference(c,product(a,c)),c)))),bind(Y,$fot(product(c,difference(c,product(b,a))))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_12163,plain,
    ( product(c,difference(c,product(b,a))) != product(b,a)
    | product(c,difference(difference(c,product(a,c)),c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(c,difference(difference(c,product(a,c)),c)),product(c,difference(c,product(b,a)))) )],[refute_0_12161,refute_0_12162]) ).

cnf(refute_0_12164,plain,
    product(c,difference(difference(c,product(a,c)),c)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(b,a))),product(b,a)) )],[refute_0_12157,refute_0_12163]) ).

cnf(refute_0_12165,plain,
    difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),
    introduced(tautology,[refl,[$fot(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_12166,plain,
    ( difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c))
    | product(c,difference(difference(c,product(a,c)),c)) != product(b,a)
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(difference(c,product(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12167,plain,
    ( product(c,difference(difference(c,product(a,c)),c)) != product(b,a)
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(difference(c,product(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c))) )],[refute_0_12165,refute_0_12166]) ).

cnf(refute_0_12168,plain,
    difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(difference(c,product(a,c)),c)),
    inference(resolve,[$cnf( $equal(product(c,difference(difference(c,product(a,c)),c)),product(b,a)) )],[refute_0_12164,refute_0_12167]) ).

cnf(refute_0_12169,plain,
    ( difference(product(b,a),difference(difference(c,product(a,c)),c)) != difference(product(b,a),difference(c,product(b,a)))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != difference(product(b,a),difference(difference(c,product(a,c)),c))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(c,product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)))),bind(Y,$fot(difference(product(b,a),difference(difference(c,product(a,c)),c)))),bind(Z,$fot(difference(product(b,a),difference(c,product(b,a)))))]]) ).

cnf(refute_0_12170,plain,
    ( difference(product(b,a),difference(difference(c,product(a,c)),c)) != difference(product(b,a),difference(c,product(b,a)))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),difference(product(b,a),difference(difference(c,product(a,c)),c))) )],[refute_0_12168,refute_0_12169]) ).

cnf(refute_0_12171,plain,
    difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) = difference(product(b,a),difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(a,c)),c)),difference(product(b,a),difference(c,product(b,a)))) )],[refute_0_12156,refute_0_12170]) ).

cnf(refute_0_12172,plain,
    ( difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != difference(product(b,a),difference(c,product(b,a)))
    | difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) ),[0],$fot(difference(product(b,a),difference(c,product(b,a))))]]) ).

cnf(refute_0_12173,plain,
    ( difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),difference(product(b,a),difference(c,product(b,a)))) )],[refute_0_12171,refute_0_12172]) ).

cnf(refute_0_12174,plain,
    difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) = difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))]]) ).

cnf(refute_0_12175,plain,
    ( difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) != difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))
    | product(c,difference(c,product(a,c))) != product(a,c)
    | difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) = difference(difference(c,product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_12176,plain,
    ( product(c,difference(c,product(a,c))) != product(a,c)
    | difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) = difference(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) )],[refute_0_12174,refute_0_12175]) ).

cnf(refute_0_12177,plain,
    difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) = difference(difference(c,product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(a,c))),product(a,c)) )],[refute_0_2571,refute_0_12176]) ).

cnf(refute_0_12178,plain,
    product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))))]]) ).

cnf(refute_0_12179,plain,
    ( difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) != difference(difference(c,product(a,c)),product(a,c))
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) ),[1,1],$fot(difference(difference(c,product(a,c)),product(a,c)))]]) ).

cnf(refute_0_12180,plain,
    ( difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))) != difference(difference(c,product(a,c)),product(a,c))
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) )],[refute_0_12178,refute_0_12179]) ).

cnf(refute_0_12181,plain,
    product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))),difference(difference(c,product(a,c)),product(a,c))) )],[refute_0_12177,refute_0_12180]) ).

cnf(refute_0_12182,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,a),difference(c,product(b,a))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) ),[0],$fot(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))))]]) ).

cnf(refute_0_12183,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c))))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12181,refute_0_12182]) ).

cnf(refute_0_12184,plain,
    ( difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) )],[refute_0_12173,refute_0_12183]) ).

cnf(refute_0_12185,plain,
    difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(difference(c,product(a,c)),c)),difference(difference(c,product(a,c)),c)),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(c,difference(c,product(a,c)))))) )],[refute_0_12152,refute_0_12184]) ).

cnf(refute_0_12186,plain,
    difference(product(b,a),difference(c,product(b,a))) = difference(product(b,a),difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),difference(c,product(b,a))))]]) ).

cnf(refute_0_12187,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | difference(product(b,a),difference(c,product(b,a))) != difference(product(b,a),difference(c,product(b,a)))
    | difference(product(b,a),difference(c,product(b,a))) = difference(product(b,a),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),difference(product(b,a),difference(c,product(b,a)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_12188,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | difference(product(b,a),difference(c,product(b,a))) = difference(product(b,a),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),difference(product(b,a),difference(c,product(b,a)))) )],[refute_0_12186,refute_0_12187]) ).

cnf(refute_0_12189,plain,
    difference(product(b,a),difference(c,product(b,a))) = difference(product(b,a),quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_12188]) ).

cnf(refute_0_12190,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != difference(product(b,a),quotient(c,b))
    | difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),quotient(c,b)) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) ),[0],$fot(difference(product(b,a),quotient(c,b)))]]) ).

cnf(refute_0_12191,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),quotient(c,b)) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),difference(product(b,a),quotient(c,b))) )],[refute_0_12189,refute_0_12190]) ).

cnf(refute_0_12192,plain,
    product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) = product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))))]]) ).

cnf(refute_0_12193,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_12194,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12192,refute_0_12193]) ).

cnf(refute_0_12195,plain,
    product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_12194]) ).

cnf(refute_0_12196,plain,
    ( difference(product(b,a),quotient(c,b)) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))) != product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) ),[0],$fot(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))))]]) ).

cnf(refute_0_12197,plain,
    ( difference(product(b,a),quotient(c,b)) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c))),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12195,refute_0_12196]) ).

cnf(refute_0_12198,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12191,refute_0_12197]) ).

cnf(refute_0_12199,plain,
    difference(product(b,a),quotient(c,b)) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),product(difference(c,product(b,a)),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12185,refute_0_12198]) ).

cnf(refute_0_12200,plain,
    quotient(product(difference(product(b,a),quotient(c,b)),c),c) = difference(product(b,a),quotient(c,b)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(product(b,a),quotient(c,b)))),bind(B,$fot(c))]]) ).

cnf(refute_0_12201,plain,
    quotient(quotient(c,product(b,a)),product(quotient(c,product(b,a)),c)) = product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(product(b,a)))]]) ).

cnf(refute_0_12202,plain,
    quotient(c,difference(product(a,c),c)) = product(a,c),
    inference(subst,[],[refute_0_362:[bind(B,$fot(c)),bind(X_6,$fot(product(a,c)))]]) ).

cnf(refute_0_12203,plain,
    ( difference(product(a,c),c) != product(b,a)
    | quotient(c,difference(product(a,c),c)) != product(a,c)
    | quotient(c,product(b,a)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(a,c),c)),product(a,c)) ),[0,1],$fot(product(b,a))]]) ).

cnf(refute_0_12204,plain,
    ( quotient(c,difference(product(a,c),c)) != product(a,c)
    | quotient(c,product(b,a)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),c),product(b,a)) )],[refute_0_1955,refute_0_12203]) ).

cnf(refute_0_12205,plain,
    quotient(c,product(b,a)) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(a,c),c)),product(a,c)) )],[refute_0_12202,refute_0_12204]) ).

cnf(refute_0_12206,plain,
    ( quotient(c,product(b,a)) != product(a,c)
    | quotient(quotient(c,product(b,a)),product(quotient(c,product(b,a)),c)) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(quotient(c,product(b,a)),c)),product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))) ),[0,1,0],$fot(product(a,c))]]) ).

cnf(refute_0_12207,plain,
    ( quotient(quotient(c,product(b,a)),product(quotient(c,product(b,a)),c)) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,a)),product(a,c)) )],[refute_0_12205,refute_0_12206]) ).

cnf(refute_0_12208,plain,
    quotient(quotient(c,product(b,a)),product(product(a,c),c)) = product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(quotient(c,product(b,a)),c)),product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))) )],[refute_0_12201,refute_0_12207]) ).

cnf(refute_0_12209,plain,
    quotient(product(a,c),product(product(a,c),c)) = quotient(product(a,c),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(a,c),product(product(a,c),c)))]]) ).

cnf(refute_0_12210,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(a,c),product(product(a,c),c)) != quotient(product(a,c),product(product(a,c),c))
    | quotient(product(a,c),product(product(a,c),c)) = quotient(product(a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(product(a,c),c)),quotient(product(a,c),product(product(a,c),c))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12211,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(product(a,c),product(product(a,c),c)) = quotient(product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),c)),quotient(product(a,c),product(product(a,c),c))) )],[refute_0_12209,refute_0_12210]) ).

cnf(refute_0_12212,plain,
    quotient(product(a,c),product(product(a,c),c)) = quotient(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_12211]) ).

cnf(refute_0_12213,plain,
    quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(quotient(c,product(b,a)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,product(b,a)),product(product(a,c),c)))]]) ).

cnf(refute_0_12214,plain,
    ( quotient(c,product(b,a)) != product(a,c)
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) != quotient(quotient(c,product(b,a)),product(product(a,c),c))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(product(a,c),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),quotient(quotient(c,product(b,a)),product(product(a,c),c))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_12215,plain,
    ( quotient(c,product(b,a)) != product(a,c)
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(product(a,c),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),quotient(quotient(c,product(b,a)),product(product(a,c),c))) )],[refute_0_12213,refute_0_12214]) ).

cnf(refute_0_12216,plain,
    quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(product(a,c),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,a)),product(a,c)) )],[refute_0_12205,refute_0_12215]) ).

cnf(refute_0_12217,plain,
    ( quotient(product(a,c),product(product(a,c),c)) != quotient(product(a,c),product(a,product(b,c)))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) != quotient(product(a,c),product(product(a,c),c))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(product(a,c),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(b,a)),product(product(a,c),c)))),bind(Y,$fot(quotient(product(a,c),product(product(a,c),c)))),bind(Z,$fot(quotient(product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_12218,plain,
    ( quotient(product(a,c),product(product(a,c),c)) != quotient(product(a,c),product(a,product(b,c)))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),quotient(product(a,c),product(product(a,c),c))) )],[refute_0_12216,refute_0_12217]) ).

cnf(refute_0_12219,plain,
    quotient(quotient(c,product(b,a)),product(product(a,c),c)) = quotient(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),c)),quotient(product(a,c),product(a,product(b,c)))) )],[refute_0_12212,refute_0_12218]) ).

cnf(refute_0_12220,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(a,a,c)
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) != quotient(product(a,c),product(a,product(b,c)))
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(b,a)),product(product(a,c),c)))),bind(Y,$fot(quotient(product(a,c),product(a,product(b,c))))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_12221,plain,
    ( quotient(product(a,c),product(a,product(b,c))) != bigC(a,a,c)
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),quotient(product(a,c),product(a,product(b,c)))) )],[refute_0_12219,refute_0_12220]) ).

cnf(refute_0_12222,plain,
    quotient(quotient(c,product(b,a)),product(product(a,c),c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,product(b,c))),bigC(a,a,c)) )],[refute_0_11966,refute_0_12221]) ).

cnf(refute_0_12223,plain,
    ( quotient(quotient(c,product(b,a)),product(product(a,c),c)) != bigC(a,a,c)
    | quotient(quotient(c,product(b,a)),product(product(a,c),c)) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | bigC(a,a,c) = product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))) ),[0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12224,plain,
    ( quotient(quotient(c,product(b,a)),product(product(a,c),c)) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | bigC(a,a,c) = product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),bigC(a,a,c)) )],[refute_0_12222,refute_0_12223]) ).

cnf(refute_0_12225,plain,
    product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))) = product(difference(product(b,a),difference(c,product(b,a))),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(product(b,a)))]]) ).

cnf(refute_0_12226,plain,
    ( bigC(a,a,c) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))) != product(difference(product(b,a),difference(c,product(b,a))),c)
    | bigC(a,a,c) = product(difference(product(b,a),difference(c,product(b,a))),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,c),product(difference(product(b,a),difference(c,product(b,a))),c)) ),[0],$fot(product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))))]]) ).

cnf(refute_0_12227,plain,
    ( bigC(a,a,c) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | bigC(a,a,c) = product(difference(product(b,a),difference(c,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a))),product(difference(product(b,a),difference(c,product(b,a))),c)) )],[refute_0_12225,refute_0_12226]) ).

cnf(refute_0_12228,plain,
    ( quotient(quotient(c,product(b,a)),product(product(a,c),c)) != product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))
    | bigC(a,a,c) = product(difference(product(b,a),difference(c,product(b,a))),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,c),product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))) )],[refute_0_12224,refute_0_12227]) ).

cnf(refute_0_12229,plain,
    bigC(a,a,c) = product(difference(product(b,a),difference(c,product(b,a))),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(b,a)),product(product(a,c),c)),product(product(product(b,a),quotient(c,product(b,a))),quotient(c,product(b,a)))) )],[refute_0_12208,refute_0_12228]) ).

cnf(refute_0_12230,plain,
    product(difference(product(b,a),difference(c,product(b,a))),c) = product(difference(product(b,a),difference(c,product(b,a))),c),
    introduced(tautology,[refl,[$fot(product(difference(product(b,a),difference(c,product(b,a))),c))]]) ).

cnf(refute_0_12231,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != difference(product(b,a),quotient(c,b))
    | product(difference(product(b,a),difference(c,product(b,a))),c) != product(difference(product(b,a),difference(c,product(b,a))),c)
    | product(difference(product(b,a),difference(c,product(b,a))),c) = product(difference(product(b,a),quotient(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),difference(c,product(b,a))),c),product(difference(product(b,a),difference(c,product(b,a))),c)) ),[1,0],$fot(difference(product(b,a),quotient(c,b)))]]) ).

cnf(refute_0_12232,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != difference(product(b,a),quotient(c,b))
    | product(difference(product(b,a),difference(c,product(b,a))),c) = product(difference(product(b,a),quotient(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(c,product(b,a))),c),product(difference(product(b,a),difference(c,product(b,a))),c)) )],[refute_0_12230,refute_0_12231]) ).

cnf(refute_0_12233,plain,
    product(difference(product(b,a),difference(c,product(b,a))),c) = product(difference(product(b,a),quotient(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),difference(product(b,a),quotient(c,b))) )],[refute_0_12189,refute_0_12232]) ).

cnf(refute_0_12234,plain,
    ( bigC(a,a,c) != product(difference(product(b,a),difference(c,product(b,a))),c)
    | product(difference(product(b,a),difference(c,product(b,a))),c) != product(difference(product(b,a),quotient(c,b)),c)
    | bigC(a,a,c) = product(difference(product(b,a),quotient(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,c),product(difference(product(b,a),quotient(c,b)),c)) ),[0],$fot(product(difference(product(b,a),difference(c,product(b,a))),c))]]) ).

cnf(refute_0_12235,plain,
    ( bigC(a,a,c) != product(difference(product(b,a),difference(c,product(b,a))),c)
    | bigC(a,a,c) = product(difference(product(b,a),quotient(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(c,product(b,a))),c),product(difference(product(b,a),quotient(c,b)),c)) )],[refute_0_12233,refute_0_12234]) ).

cnf(refute_0_12236,plain,
    bigC(a,a,c) = product(difference(product(b,a),quotient(c,b)),c),
    inference(resolve,[$cnf( $equal(bigC(a,a,c),product(difference(product(b,a),difference(c,product(b,a))),c)) )],[refute_0_12229,refute_0_12235]) ).

cnf(refute_0_12237,plain,
    ( bigC(a,a,c) != product(difference(product(b,a),quotient(c,b)),c)
    | product(difference(product(b,a),quotient(c,b)),c) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,c))),bind(Y,$fot(product(difference(product(b,a),quotient(c,b)),c)))]]) ).

cnf(refute_0_12238,plain,
    product(difference(product(b,a),quotient(c,b)),c) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,a,c),product(difference(product(b,a),quotient(c,b)),c)) )],[refute_0_12236,refute_0_12237]) ).

cnf(refute_0_12239,plain,
    ( product(difference(product(b,a),quotient(c,b)),c) != bigC(a,a,c)
    | quotient(product(difference(product(b,a),quotient(c,b)),c),c) != difference(product(b,a),quotient(c,b))
    | quotient(bigC(a,a,c),c) = difference(product(b,a),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(b,a),quotient(c,b)),c),c),difference(product(b,a),quotient(c,b))) ),[0,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_12240,plain,
    ( quotient(product(difference(product(b,a),quotient(c,b)),c),c) != difference(product(b,a),quotient(c,b))
    | quotient(bigC(a,a,c),c) = difference(product(b,a),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),quotient(c,b)),c),bigC(a,a,c)) )],[refute_0_12238,refute_0_12239]) ).

cnf(refute_0_12241,plain,
    quotient(bigC(a,a,c),c) = difference(product(b,a),quotient(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(b,a),quotient(c,b)),c),c),difference(product(b,a),quotient(c,b))) )],[refute_0_12200,refute_0_12240]) ).

cnf(refute_0_12242,plain,
    ( quotient(bigC(a,a,c),c) != difference(product(b,a),quotient(c,b))
    | difference(product(b,a),quotient(c,b)) = quotient(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(bigC(a,a,c),c))),bind(Y,$fot(difference(product(b,a),quotient(c,b))))]]) ).

cnf(refute_0_12243,plain,
    difference(product(b,a),quotient(c,b)) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),difference(product(b,a),quotient(c,b))) )],[refute_0_12241,refute_0_12242]) ).

cnf(refute_0_12244,plain,
    ( difference(product(b,a),quotient(c,b)) != product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))
    | difference(product(b,a),quotient(c,b)) != quotient(bigC(a,a,c),c)
    | quotient(bigC(a,a,c),c) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) ),[0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_12245,plain,
    ( difference(product(b,a),quotient(c,b)) != product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))
    | quotient(bigC(a,a,c),c) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),quotient(bigC(a,a,c),c)) )],[refute_0_12243,refute_0_12244]) ).

cnf(refute_0_12246,plain,
    quotient(bigC(a,a,c),c) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12199,refute_0_12245]) ).

cnf(refute_0_12247,plain,
    difference(difference(b,c),product(difference(b,c),a)) = a,
    inference(subst,[],[sos01:[bind(A,$fot(difference(b,c))),bind(B,$fot(a))]]) ).

cnf(refute_0_12248,plain,
    bigC(a,quotient(c,a),a) = product(product(a,quotient(c,a)),a),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(a)),bind(X_22,$fot(quotient(c,a)))]]) ).

cnf(refute_0_12249,plain,
    quotient(product(product(a,quotient(c,a)),b),b) = product(a,quotient(c,a)),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,quotient(c,a)))),bind(B,$fot(b))]]) ).

cnf(refute_0_12250,plain,
    product(product(product(c,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = quotient(c,a),
    inference(subst,[],[sos07:[bind(A,$fot(c)),bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_12251,plain,
    difference(product(product(quotient(b,c),c),c),c) = product(c,product(c,quotient(b,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(quotient(b,c))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_12252,plain,
    difference(c,difference(product(b,c),c)) = product(c,quotient(b,c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(b))]]) ).

cnf(refute_0_12253,plain,
    quotient(product(product(a,b),bigC(b,a,c)),bigC(b,a,c)) = product(a,b),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_12254,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | quotient(product(product(a,b),bigC(b,a,c)),bigC(b,a,c)) != product(a,b)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),bigC(b,a,c)),bigC(b,a,c)),product(a,b)) ),[0,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_12255,plain,
    ( quotient(product(product(a,b),bigC(b,a,c)),bigC(b,a,c)) != product(a,b)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_12254]) ).

cnf(refute_0_12256,plain,
    quotient(product(c,product(c,b)),bigC(b,a,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),bigC(b,a,c)),bigC(b,a,c)),product(a,b)) )],[refute_0_12253,refute_0_12255]) ).

cnf(refute_0_12257,plain,
    quotient(product(c,product(c,b)),bigC(b,a,c)) = quotient(product(c,product(c,b)),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(c,b)),bigC(b,a,c)))]]) ).

cnf(refute_0_12258,plain,
    ( bigC(b,a,c) != c
    | quotient(product(c,product(c,b)),bigC(b,a,c)) != quotient(product(c,product(c,b)),bigC(b,a,c))
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = quotient(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),quotient(product(c,product(c,b)),bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_12259,plain,
    ( bigC(b,a,c) != c
    | quotient(product(c,product(c,b)),bigC(b,a,c)) = quotient(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),quotient(product(c,product(c,b)),bigC(b,a,c))) )],[refute_0_12257,refute_0_12258]) ).

cnf(refute_0_12260,plain,
    quotient(product(c,product(c,b)),bigC(b,a,c)) = quotient(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_12259]) ).

cnf(refute_0_12261,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,c)) != product(a,b)
    | quotient(product(c,product(c,b)),bigC(b,a,c)) != quotient(product(c,product(c,b)),c)
    | quotient(product(c,product(c,b)),c) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),product(a,b)) ),[0],$fot(quotient(product(c,product(c,b)),c))]]) ).

cnf(refute_0_12262,plain,
    ( quotient(product(c,product(c,b)),bigC(b,a,c)) != product(a,b)
    | quotient(product(c,product(c,b)),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),quotient(product(c,product(c,b)),c)) )],[refute_0_12260,refute_0_12261]) ).

cnf(refute_0_12263,plain,
    quotient(product(c,product(c,b)),c) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),bigC(b,a,c)),product(a,b)) )],[refute_0_12256,refute_0_12262]) ).

cnf(refute_0_12264,plain,
    product(c,product(c,quotient(b,c))) = difference(product(b,c),c),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(b)),bind(X_20,$fot(c))]]) ).

cnf(refute_0_12265,plain,
    quotient(product(c,b),c) = product(c,quotient(b,c)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(b)),bind(X_85,$fot(c))]]) ).

cnf(refute_0_12266,plain,
    product(c,quotient(product(c,b),c)) = product(c,quotient(product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(c,b),c)))]]) ).

cnf(refute_0_12267,plain,
    ( product(c,quotient(product(c,b),c)) != product(c,quotient(product(c,b),c))
    | quotient(product(c,b),c) != product(c,quotient(b,c))
    | product(c,quotient(product(c,b),c)) = product(c,product(c,quotient(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(c,b),c)),product(c,quotient(product(c,b),c))) ),[1,1],$fot(product(c,quotient(b,c)))]]) ).

cnf(refute_0_12268,plain,
    ( quotient(product(c,b),c) != product(c,quotient(b,c))
    | product(c,quotient(product(c,b),c)) = product(c,product(c,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,b),c)),product(c,quotient(product(c,b),c))) )],[refute_0_12266,refute_0_12267]) ).

cnf(refute_0_12269,plain,
    product(c,quotient(product(c,b),c)) = product(c,product(c,quotient(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),product(c,quotient(b,c))) )],[refute_0_12265,refute_0_12268]) ).

cnf(refute_0_12270,plain,
    ( product(c,product(c,quotient(b,c))) != difference(product(b,c),c)
    | product(c,quotient(product(c,b),c)) != product(c,product(c,quotient(b,c)))
    | product(c,quotient(product(c,b),c)) = difference(product(b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,quotient(product(c,b),c)))),bind(Y,$fot(product(c,product(c,quotient(b,c))))),bind(Z,$fot(difference(product(b,c),c)))]]) ).

cnf(refute_0_12271,plain,
    ( product(c,product(c,quotient(b,c))) != difference(product(b,c),c)
    | product(c,quotient(product(c,b),c)) = difference(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,b),c)),product(c,product(c,quotient(b,c)))) )],[refute_0_12269,refute_0_12270]) ).

cnf(refute_0_12272,plain,
    product(c,quotient(product(c,b),c)) = difference(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(b,c))),difference(product(b,c),c)) )],[refute_0_12264,refute_0_12271]) ).

cnf(refute_0_12273,plain,
    quotient(product(c,product(c,b)),c) = product(c,quotient(product(c,b),c)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(product(c,b))),bind(X_85,$fot(c))]]) ).

cnf(refute_0_12274,plain,
    ( product(c,quotient(product(c,b),c)) != difference(product(b,c),c)
    | quotient(product(c,product(c,b)),c) != product(c,quotient(product(c,b),c))
    | quotient(product(c,product(c,b)),c) = difference(product(b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,product(c,b)),c))),bind(Y,$fot(product(c,quotient(product(c,b),c)))),bind(Z,$fot(difference(product(b,c),c)))]]) ).

cnf(refute_0_12275,plain,
    ( product(c,quotient(product(c,b),c)) != difference(product(b,c),c)
    | quotient(product(c,product(c,b)),c) = difference(product(b,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),product(c,quotient(product(c,b),c))) )],[refute_0_12273,refute_0_12274]) ).

cnf(refute_0_12276,plain,
    quotient(product(c,product(c,b)),c) = difference(product(b,c),c),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(c,b),c)),difference(product(b,c),c)) )],[refute_0_12272,refute_0_12275]) ).

cnf(refute_0_12277,plain,
    ( quotient(product(c,product(c,b)),c) != difference(product(b,c),c)
    | quotient(product(c,product(c,b)),c) != product(a,b)
    | difference(product(b,c),c) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(c,b)),c),product(a,b)) ),[0],$fot(difference(product(b,c),c))]]) ).

cnf(refute_0_12278,plain,
    ( quotient(product(c,product(c,b)),c) != product(a,b)
    | difference(product(b,c),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),difference(product(b,c),c)) )],[refute_0_12276,refute_0_12277]) ).

cnf(refute_0_12279,plain,
    difference(product(b,c),c) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),c),product(a,b)) )],[refute_0_12263,refute_0_12278]) ).

cnf(refute_0_12280,plain,
    ( difference(c,difference(product(b,c),c)) != product(c,quotient(b,c))
    | difference(product(b,c),c) != product(a,b)
    | difference(c,product(a,b)) = product(c,quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(b,c),c)),product(c,quotient(b,c))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_12281,plain,
    ( difference(c,difference(product(b,c),c)) != product(c,quotient(b,c))
    | difference(c,product(a,b)) = product(c,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),c),product(a,b)) )],[refute_0_12279,refute_0_12280]) ).

cnf(refute_0_12282,plain,
    difference(c,product(a,b)) = product(c,quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(b,c),c)),product(c,quotient(b,c))) )],[refute_0_12252,refute_0_12281]) ).

cnf(refute_0_12283,plain,
    quotient(product(quotient(c,a),c),c) = quotient(c,a),
    inference(subst,[],[sos03:[bind(A,$fot(quotient(c,a))),bind(B,$fot(c))]]) ).

cnf(refute_0_12284,plain,
    difference(a,product(a,product(quotient(c,a),c))) = product(quotient(c,a),c),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(quotient(c,a),c)))]]) ).

cnf(refute_0_12285,plain,
    quotient(quotient(c,product(c,a)),product(quotient(c,product(c,a)),c)) = product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(product(c,a)))]]) ).

cnf(refute_0_12286,plain,
    ( quotient(c,product(c,a)) != product(a,b)
    | quotient(quotient(c,product(c,a)),product(quotient(c,product(c,a)),c)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(quotient(c,product(c,a)),c)),product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))) ),[0,1,0],$fot(product(a,b))]]) ).

cnf(refute_0_12287,plain,
    ( quotient(quotient(c,product(c,a)),product(quotient(c,product(c,a)),c)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_12286]) ).

cnf(refute_0_12288,plain,
    quotient(quotient(c,product(c,a)),product(product(a,b),c)) = product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(quotient(c,product(c,a)),c)),product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))) )],[refute_0_12285,refute_0_12287]) ).

cnf(refute_0_12289,plain,
    product(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b)) = quotient(product(a,b),product(c,product(c,b))),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(product(a,b),product(c,product(c,b))))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_12290,plain,
    quotient(quotient(product(a,b),product(product(a,b),c)),product(a,b)) = difference(product(a,b),product(c,product(a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,b))),bind(X_29,$fot(c))]]) ).

cnf(refute_0_12291,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(quotient(product(a,b),product(product(a,b),c)),product(a,b)) != difference(product(a,b),product(c,product(a,b)))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = difference(product(a,b),product(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),product(product(a,b),c)),product(a,b)),difference(product(a,b),product(c,product(a,b)))) ),[0,0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_12292,plain,
    ( quotient(quotient(product(a,b),product(product(a,b),c)),product(a,b)) != difference(product(a,b),product(c,product(a,b)))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = difference(product(a,b),product(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_12291]) ).

cnf(refute_0_12293,plain,
    quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = difference(product(a,b),product(c,product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(product(a,b),c)),product(a,b)),difference(product(a,b),product(c,product(a,b)))) )],[refute_0_12290,refute_0_12292]) ).

cnf(refute_0_12294,plain,
    difference(product(a,b),product(c,product(a,b))) = difference(product(a,b),product(c,product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),product(c,product(a,b))))]]) ).

cnf(refute_0_12295,plain,
    ( difference(product(a,b),product(c,product(a,b))) != difference(product(a,b),product(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(a,b),product(c,product(a,b))) = difference(product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(c,product(a,b))),difference(product(a,b),product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12296,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(a,b),product(c,product(a,b))) = difference(product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,product(a,b))),difference(product(a,b),product(c,product(a,b)))) )],[refute_0_12294,refute_0_12295]) ).

cnf(refute_0_12297,plain,
    difference(product(a,b),product(c,product(a,b))) = difference(product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_12296]) ).

cnf(refute_0_12298,plain,
    ( difference(product(a,b),product(a,product(b,c))) != product(a,c)
    | difference(product(a,b),product(c,product(a,b))) != difference(product(a,b),product(a,product(b,c)))
    | difference(product(a,b),product(c,product(a,b))) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,b),product(c,product(a,b))))),bind(Y,$fot(difference(product(a,b),product(a,product(b,c))))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_12299,plain,
    ( difference(product(a,b),product(a,product(b,c))) != product(a,c)
    | difference(product(a,b),product(c,product(a,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,product(a,b))),difference(product(a,b),product(a,product(b,c)))) )],[refute_0_12297,refute_0_12298]) ).

cnf(refute_0_12300,plain,
    difference(product(a,b),product(c,product(a,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(a,product(b,c))),product(a,c)) )],[refute_0_124,refute_0_12299]) ).

cnf(refute_0_12301,plain,
    ( difference(product(a,b),product(c,product(a,b))) != product(a,c)
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != difference(product(a,b),product(c,product(a,b)))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),difference(product(a,b),product(c,product(a,b)))) ),[1],$fot(product(a,c))]]) ).

cnf(refute_0_12302,plain,
    ( quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != difference(product(a,b),product(c,product(a,b)))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,product(a,b))),product(a,c)) )],[refute_0_12300,refute_0_12301]) ).

cnf(refute_0_12303,plain,
    quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),difference(product(a,b),product(c,product(a,b)))) )],[refute_0_12293,refute_0_12302]) ).

cnf(refute_0_12304,plain,
    ( product(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b)) != quotient(product(a,b),product(c,product(c,b)))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != product(a,c)
    | product(product(a,c),product(a,b)) = quotient(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b)),quotient(product(a,b),product(c,product(c,b)))) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_12305,plain,
    ( product(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b)) != quotient(product(a,b),product(c,product(c,b)))
    | product(product(a,c),product(a,b)) = quotient(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,c)) )],[refute_0_12303,refute_0_12304]) ).

cnf(refute_0_12306,plain,
    product(product(a,c),product(a,b)) = quotient(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b)),quotient(product(a,b),product(c,product(c,b)))) )],[refute_0_12289,refute_0_12305]) ).

cnf(refute_0_12307,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | product(product(a,c),product(a,b)) != quotient(product(a,b),product(c,product(c,b)))
    | product(a,product(c,b)) = quotient(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(a,b)),quotient(product(a,b),product(c,product(c,b)))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_12308,plain,
    ( product(product(a,c),product(a,b)) != quotient(product(a,b),product(c,product(c,b)))
    | product(a,product(c,b)) = quotient(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_12307]) ).

cnf(refute_0_12309,plain,
    product(a,product(c,b)) = quotient(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),quotient(product(a,b),product(c,product(c,b)))) )],[refute_0_12306,refute_0_12308]) ).

cnf(refute_0_12310,plain,
    ( product(a,product(c,b)) != quotient(product(a,b),product(c,product(c,b)))
    | quotient(product(a,b),product(c,product(c,b))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(quotient(product(a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_12311,plain,
    quotient(product(a,b),product(c,product(c,b))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),quotient(product(a,b),product(c,product(c,b)))) )],[refute_0_12309,refute_0_12310]) ).

cnf(refute_0_12312,plain,
    quotient(product(a,b),product(product(a,b),c)) = quotient(product(a,b),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(quotient(product(a,b),product(product(a,b),c)))]]) ).

cnf(refute_0_12313,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(a,b),product(product(a,b),c)) != quotient(product(a,b),product(product(a,b),c))
    | quotient(product(a,b),product(product(a,b),c)) = quotient(product(a,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,b),c)),quotient(product(a,b),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_12314,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(a,b),product(product(a,b),c)) = quotient(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),c)),quotient(product(a,b),product(product(a,b),c))) )],[refute_0_12312,refute_0_12313]) ).

cnf(refute_0_12315,plain,
    quotient(product(a,b),product(product(a,b),c)) = quotient(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_12314]) ).

cnf(refute_0_12316,plain,
    quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(quotient(c,product(c,a)),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,product(c,a)),product(product(a,b),c)))]]) ).

cnf(refute_0_12317,plain,
    ( quotient(c,product(c,a)) != product(a,b)
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) != quotient(quotient(c,product(c,a)),product(product(a,b),c))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(product(a,b),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),quotient(quotient(c,product(c,a)),product(product(a,b),c))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_12318,plain,
    ( quotient(c,product(c,a)) != product(a,b)
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(product(a,b),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),quotient(quotient(c,product(c,a)),product(product(a,b),c))) )],[refute_0_12316,refute_0_12317]) ).

cnf(refute_0_12319,plain,
    quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(product(a,b),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_12318]) ).

cnf(refute_0_12320,plain,
    ( quotient(product(a,b),product(product(a,b),c)) != quotient(product(a,b),product(c,product(c,b)))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) != quotient(product(a,b),product(product(a,b),c))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(product(a,b),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(c,a)),product(product(a,b),c)))),bind(Y,$fot(quotient(product(a,b),product(product(a,b),c)))),bind(Z,$fot(quotient(product(a,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_12321,plain,
    ( quotient(product(a,b),product(product(a,b),c)) != quotient(product(a,b),product(c,product(c,b)))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(product(a,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),quotient(product(a,b),product(product(a,b),c))) )],[refute_0_12319,refute_0_12320]) ).

cnf(refute_0_12322,plain,
    quotient(quotient(c,product(c,a)),product(product(a,b),c)) = quotient(product(a,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),c)),quotient(product(a,b),product(c,product(c,b)))) )],[refute_0_12315,refute_0_12321]) ).

cnf(refute_0_12323,plain,
    ( quotient(product(a,b),product(c,product(c,b))) != product(a,product(c,b))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) != quotient(product(a,b),product(c,product(c,b)))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(c,a)),product(product(a,b),c)))),bind(Y,$fot(quotient(product(a,b),product(c,product(c,b))))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_12324,plain,
    ( quotient(product(a,b),product(c,product(c,b))) != product(a,product(c,b))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),quotient(product(a,b),product(c,product(c,b)))) )],[refute_0_12322,refute_0_12323]) ).

cnf(refute_0_12325,plain,
    quotient(quotient(c,product(c,a)),product(product(a,b),c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(c,product(c,b))),product(a,product(c,b))) )],[refute_0_12311,refute_0_12324]) ).

cnf(refute_0_12326,plain,
    ( quotient(quotient(c,product(c,a)),product(product(a,b),c)) != product(a,product(c,b))
    | quotient(quotient(c,product(c,a)),product(product(a,b),c)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | product(a,product(c,b)) = product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_12327,plain,
    ( quotient(quotient(c,product(c,a)),product(product(a,b),c)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | product(a,product(c,b)) = product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),product(a,product(c,b))) )],[refute_0_12325,refute_0_12326]) ).

cnf(refute_0_12328,plain,
    product(difference(product(c,a),a),c) = product(a,product(quotient(c,a),c)),
    inference(subst,[],[refute_0_2515:[bind(X_27,$fot(c)),bind(X_99,$fot(a))]]) ).

cnf(refute_0_12329,plain,
    difference(c,product(c,a)) = a,
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(a))]]) ).

cnf(refute_0_12330,plain,
    difference(product(c,a),difference(c,product(c,a))) = difference(product(c,a),difference(c,product(c,a))),
    introduced(tautology,[refl,[$fot(difference(product(c,a),difference(c,product(c,a))))]]) ).

cnf(refute_0_12331,plain,
    ( difference(c,product(c,a)) != a
    | difference(product(c,a),difference(c,product(c,a))) != difference(product(c,a),difference(c,product(c,a)))
    | difference(product(c,a),difference(c,product(c,a))) = difference(product(c,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),difference(c,product(c,a))),difference(product(c,a),difference(c,product(c,a)))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_12332,plain,
    ( difference(c,product(c,a)) != a
    | difference(product(c,a),difference(c,product(c,a))) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),difference(c,product(c,a))),difference(product(c,a),difference(c,product(c,a)))) )],[refute_0_12330,refute_0_12331]) ).

cnf(refute_0_12333,plain,
    difference(product(c,a),difference(c,product(c,a))) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(c,product(c,a)),a) )],[refute_0_12329,refute_0_12332]) ).

cnf(refute_0_12334,plain,
    product(difference(product(c,a),difference(c,product(c,a))),c) = product(difference(product(c,a),difference(c,product(c,a))),c),
    introduced(tautology,[refl,[$fot(product(difference(product(c,a),difference(c,product(c,a))),c))]]) ).

cnf(refute_0_12335,plain,
    ( difference(product(c,a),difference(c,product(c,a))) != difference(product(c,a),a)
    | product(difference(product(c,a),difference(c,product(c,a))),c) != product(difference(product(c,a),difference(c,product(c,a))),c)
    | product(difference(product(c,a),difference(c,product(c,a))),c) = product(difference(product(c,a),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),difference(c,product(c,a))),c),product(difference(product(c,a),difference(c,product(c,a))),c)) ),[1,0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_12336,plain,
    ( difference(product(c,a),difference(c,product(c,a))) != difference(product(c,a),a)
    | product(difference(product(c,a),difference(c,product(c,a))),c) = product(difference(product(c,a),a),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),difference(c,product(c,a))),c),product(difference(product(c,a),difference(c,product(c,a))),c)) )],[refute_0_12334,refute_0_12335]) ).

cnf(refute_0_12337,plain,
    product(difference(product(c,a),difference(c,product(c,a))),c) = product(difference(product(c,a),a),c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),difference(c,product(c,a))),difference(product(c,a),a)) )],[refute_0_12333,refute_0_12336]) ).

cnf(refute_0_12338,plain,
    ( product(difference(product(c,a),a),c) != product(a,product(quotient(c,a),c))
    | product(difference(product(c,a),difference(c,product(c,a))),c) != product(difference(product(c,a),a),c)
    | product(difference(product(c,a),difference(c,product(c,a))),c) = product(a,product(quotient(c,a),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),difference(c,product(c,a))),c))),bind(Y,$fot(product(difference(product(c,a),a),c))),bind(Z,$fot(product(a,product(quotient(c,a),c))))]]) ).

cnf(refute_0_12339,plain,
    ( product(difference(product(c,a),a),c) != product(a,product(quotient(c,a),c))
    | product(difference(product(c,a),difference(c,product(c,a))),c) = product(a,product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),difference(c,product(c,a))),c),product(difference(product(c,a),a),c)) )],[refute_0_12337,refute_0_12338]) ).

cnf(refute_0_12340,plain,
    product(difference(product(c,a),difference(c,product(c,a))),c) = product(a,product(quotient(c,a),c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),a),c),product(a,product(quotient(c,a),c))) )],[refute_0_12328,refute_0_12339]) ).

cnf(refute_0_12341,plain,
    product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) = product(difference(product(c,a),difference(c,product(c,a))),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(product(c,a)))]]) ).

cnf(refute_0_12342,plain,
    ( product(difference(product(c,a),difference(c,product(c,a))),c) != product(a,product(quotient(c,a),c))
    | product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) != product(difference(product(c,a),difference(c,product(c,a))),c)
    | product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) = product(a,product(quotient(c,a),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))))),bind(Y,$fot(product(difference(product(c,a),difference(c,product(c,a))),c))),bind(Z,$fot(product(a,product(quotient(c,a),c))))]]) ).

cnf(refute_0_12343,plain,
    ( product(difference(product(c,a),difference(c,product(c,a))),c) != product(a,product(quotient(c,a),c))
    | product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) = product(a,product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))),product(difference(product(c,a),difference(c,product(c,a))),c)) )],[refute_0_12341,refute_0_12342]) ).

cnf(refute_0_12344,plain,
    product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) = product(a,product(quotient(c,a),c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),difference(c,product(c,a))),c),product(a,product(quotient(c,a),c))) )],[refute_0_12340,refute_0_12343]) ).

cnf(refute_0_12345,plain,
    ( product(a,product(c,b)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))) != product(a,product(quotient(c,a),c))
    | product(a,product(c,b)) = product(a,product(quotient(c,a),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(c,b)),product(a,product(quotient(c,a),c))) ),[0],$fot(product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))))]]) ).

cnf(refute_0_12346,plain,
    ( product(a,product(c,b)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | product(a,product(c,b)) = product(a,product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a))),product(a,product(quotient(c,a),c))) )],[refute_0_12344,refute_0_12345]) ).

cnf(refute_0_12347,plain,
    ( quotient(quotient(c,product(c,a)),product(product(a,b),c)) != product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))
    | product(a,product(c,b)) = product(a,product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))) )],[refute_0_12327,refute_0_12346]) ).

cnf(refute_0_12348,plain,
    product(a,product(c,b)) = product(a,product(quotient(c,a),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,a)),product(product(a,b),c)),product(product(product(c,a),quotient(c,product(c,a))),quotient(c,product(c,a)))) )],[refute_0_12288,refute_0_12347]) ).

cnf(refute_0_12349,plain,
    ( product(a,product(c,b)) != product(a,product(quotient(c,a),c))
    | product(a,product(quotient(c,a),c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(a,product(quotient(c,a),c))))]]) ).

cnf(refute_0_12350,plain,
    product(a,product(quotient(c,a),c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(a,product(quotient(c,a),c))) )],[refute_0_12348,refute_0_12349]) ).

cnf(refute_0_12351,plain,
    ( difference(a,product(a,product(quotient(c,a),c))) != product(quotient(c,a),c)
    | product(a,product(quotient(c,a),c)) != product(a,product(c,b))
    | difference(a,product(a,product(c,b))) = product(quotient(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(quotient(c,a),c))),product(quotient(c,a),c)) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_12352,plain,
    ( difference(a,product(a,product(quotient(c,a),c))) != product(quotient(c,a),c)
    | difference(a,product(a,product(c,b))) = product(quotient(c,a),c) ),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,a),c)),product(a,product(c,b))) )],[refute_0_12350,refute_0_12351]) ).

cnf(refute_0_12353,plain,
    difference(a,product(a,product(c,b))) = product(quotient(c,a),c),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(quotient(c,a),c))),product(quotient(c,a),c)) )],[refute_0_12284,refute_0_12352]) ).

cnf(refute_0_12354,plain,
    ( difference(a,product(a,product(c,b))) != product(c,b)
    | difference(a,product(a,product(c,b))) != product(quotient(c,a),c)
    | product(c,b) = product(quotient(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(c,b))),product(quotient(c,a),c)) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_12355,plain,
    ( difference(a,product(a,product(c,b))) != product(quotient(c,a),c)
    | product(c,b) = product(quotient(c,a),c) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(c,b))),product(c,b)) )],[refute_0_2264,refute_0_12354]) ).

cnf(refute_0_12356,plain,
    product(c,b) = product(quotient(c,a),c),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(c,b))),product(quotient(c,a),c)) )],[refute_0_12353,refute_0_12355]) ).

cnf(refute_0_12357,plain,
    ( product(c,b) != product(quotient(c,a),c)
    | product(quotient(c,a),c) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(quotient(c,a),c)))]]) ).

cnf(refute_0_12358,plain,
    product(quotient(c,a),c) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(quotient(c,a),c)) )],[refute_0_12356,refute_0_12357]) ).

cnf(refute_0_12359,plain,
    ( product(quotient(c,a),c) != product(c,b)
    | quotient(product(quotient(c,a),c),c) != quotient(c,a)
    | quotient(product(c,b),c) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(c,a),c),c),quotient(c,a)) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_12360,plain,
    ( quotient(product(quotient(c,a),c),c) != quotient(c,a)
    | quotient(product(c,b),c) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),c),product(c,b)) )],[refute_0_12358,refute_0_12359]) ).

cnf(refute_0_12361,plain,
    quotient(product(c,b),c) = quotient(c,a),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,a),c),c),quotient(c,a)) )],[refute_0_12283,refute_0_12360]) ).

cnf(refute_0_12362,plain,
    ( difference(c,product(a,b)) != product(c,quotient(b,c))
    | product(c,quotient(b,c)) = difference(c,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,b)))),bind(Y,$fot(product(c,quotient(b,c))))]]) ).

cnf(refute_0_12363,plain,
    product(c,quotient(b,c)) = difference(c,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),product(c,quotient(b,c))) )],[refute_0_12282,refute_0_12362]) ).

cnf(refute_0_12364,plain,
    ( product(c,quotient(b,c)) != difference(c,product(a,b))
    | quotient(product(c,b),c) != product(c,quotient(b,c))
    | quotient(product(c,b),c) = difference(c,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(c,b),c))),bind(Y,$fot(product(c,quotient(b,c)))),bind(Z,$fot(difference(c,product(a,b))))]]) ).

cnf(refute_0_12365,plain,
    ( product(c,quotient(b,c)) != difference(c,product(a,b))
    | quotient(product(c,b),c) = difference(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),product(c,quotient(b,c))) )],[refute_0_12265,refute_0_12364]) ).

cnf(refute_0_12366,plain,
    quotient(product(c,b),c) = difference(c,product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_12363,refute_0_12365]) ).

cnf(refute_0_12367,plain,
    ( quotient(product(c,b),c) != difference(c,product(a,b))
    | quotient(product(c,b),c) != quotient(c,a)
    | difference(c,product(a,b)) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),c),quotient(c,a)) ),[0],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_12368,plain,
    ( quotient(product(c,b),c) != quotient(c,a)
    | difference(c,product(a,b)) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),difference(c,product(a,b))) )],[refute_0_12366,refute_0_12367]) ).

cnf(refute_0_12369,plain,
    difference(c,product(a,b)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),quotient(c,a)) )],[refute_0_12361,refute_0_12368]) ).

cnf(refute_0_12370,plain,
    ( difference(c,product(a,b)) != product(c,quotient(b,c))
    | difference(c,product(a,b)) != quotient(c,a)
    | quotient(c,a) = product(c,quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(a,b)),product(c,quotient(b,c))) ),[0],$fot(quotient(c,a))]]) ).

cnf(refute_0_12371,plain,
    ( difference(c,product(a,b)) != product(c,quotient(b,c))
    | quotient(c,a) = product(c,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_12370]) ).

cnf(refute_0_12372,plain,
    quotient(c,a) = product(c,quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),product(c,quotient(b,c))) )],[refute_0_12282,refute_0_12371]) ).

cnf(refute_0_12373,plain,
    ( quotient(c,a) != product(c,quotient(b,c))
    | product(c,quotient(b,c)) = quotient(c,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(c,a))),bind(Y,$fot(product(c,quotient(b,c))))]]) ).

cnf(refute_0_12374,plain,
    product(c,quotient(b,c)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(quotient(c,a),product(c,quotient(b,c))) )],[refute_0_12372,refute_0_12373]) ).

cnf(refute_0_12375,plain,
    ( difference(product(product(quotient(b,c),c),c),c) != product(c,product(c,quotient(b,c)))
    | product(c,quotient(b,c)) != quotient(c,a)
    | difference(product(product(quotient(b,c),c),c),c) = product(c,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(b,c),c),c),c),product(c,product(c,quotient(b,c)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_12376,plain,
    ( difference(product(product(quotient(b,c),c),c),c) != product(c,product(c,quotient(b,c)))
    | difference(product(product(quotient(b,c),c),c),c) = product(c,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),quotient(c,a)) )],[refute_0_12374,refute_0_12375]) ).

cnf(refute_0_12377,plain,
    difference(product(product(quotient(b,c),c),c),c) = product(c,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(b,c),c),c),c),product(c,product(c,quotient(b,c)))) )],[refute_0_12251,refute_0_12376]) ).

cnf(refute_0_12378,plain,
    ( difference(product(b,c),c) != product(a,b)
    | product(c,product(c,quotient(b,c))) != difference(product(b,c),c)
    | product(c,product(c,quotient(b,c))) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,quotient(b,c))))),bind(Y,$fot(difference(product(b,c),c))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_12379,plain,
    ( difference(product(b,c),c) != product(a,b)
    | product(c,product(c,quotient(b,c))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(b,c))),difference(product(b,c),c)) )],[refute_0_12264,refute_0_12378]) ).

cnf(refute_0_12380,plain,
    product(c,product(c,quotient(b,c))) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(product(b,c),c),product(a,b)) )],[refute_0_12279,refute_0_12379]) ).

cnf(refute_0_12381,plain,
    ( difference(product(product(quotient(b,c),c),c),c) != product(c,product(c,quotient(b,c)))
    | product(c,product(c,quotient(b,c))) != product(a,b)
    | difference(product(product(quotient(b,c),c),c),c) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(quotient(b,c),c),c),c))),bind(Y,$fot(product(c,product(c,quotient(b,c))))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_12382,plain,
    ( product(c,product(c,quotient(b,c))) != product(a,b)
    | difference(product(product(quotient(b,c),c),c),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(b,c),c),c),c),product(c,product(c,quotient(b,c)))) )],[refute_0_12251,refute_0_12381]) ).

cnf(refute_0_12383,plain,
    difference(product(product(quotient(b,c),c),c),c) = product(a,b),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(b,c))),product(a,b)) )],[refute_0_12380,refute_0_12382]) ).

cnf(refute_0_12384,plain,
    ( difference(product(product(quotient(b,c),c),c),c) != product(a,b)
    | difference(product(product(quotient(b,c),c),c),c) != product(c,quotient(c,a))
    | product(a,b) = product(c,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(b,c),c),c),c),product(c,quotient(c,a))) ),[0],$fot(product(a,b))]]) ).

cnf(refute_0_12385,plain,
    ( difference(product(product(quotient(b,c),c),c),c) != product(c,quotient(c,a))
    | product(a,b) = product(c,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(b,c),c),c),c),product(a,b)) )],[refute_0_12383,refute_0_12384]) ).

cnf(refute_0_12386,plain,
    product(a,b) = product(c,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(b,c),c),c),c),product(c,quotient(c,a))) )],[refute_0_12377,refute_0_12385]) ).

cnf(refute_0_12387,plain,
    ( product(a,b) != product(c,quotient(c,a))
    | product(c,quotient(c,a)) = product(a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,b))),bind(Y,$fot(product(c,quotient(c,a))))]]) ).

cnf(refute_0_12388,plain,
    product(c,quotient(c,a)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(a,b),product(c,quotient(c,a))) )],[refute_0_12386,refute_0_12387]) ).

cnf(refute_0_12389,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | product(product(product(c,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != quotient(c,a)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),quotient(c,a)) ),[0,0,0],$fot(product(a,b))]]) ).

cnf(refute_0_12390,plain,
    ( product(product(product(c,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != quotient(c,a)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_12389]) ).

cnf(refute_0_12391,plain,
    product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(c,quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),quotient(c,a)) )],[refute_0_12250,refute_0_12390]) ).

cnf(refute_0_12392,plain,
    product(product(a,b),product(quotient(c,a),b)) = product(product(a,quotient(c,a)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(quotient(c,a))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12393,plain,
    product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) = product(product(a,b),product(quotient(c,a),b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(product(a,b))),bind(X_65,$fot(quotient(c,a))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12394,plain,
    ( product(product(a,b),product(quotient(c,a),b)) != product(product(a,quotient(c,a)),b)
    | product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) != product(product(a,b),product(quotient(c,a),b))
    | product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) = product(product(a,quotient(c,a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),quotient(c,a)),product(product(a,b),b)))),bind(Y,$fot(product(product(a,b),product(quotient(c,a),b)))),bind(Z,$fot(product(product(a,quotient(c,a)),b)))]]) ).

cnf(refute_0_12395,plain,
    ( product(product(a,b),product(quotient(c,a),b)) != product(product(a,quotient(c,a)),b)
    | product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) = product(product(a,quotient(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(product(a,b),b)),product(product(a,b),product(quotient(c,a),b))) )],[refute_0_12393,refute_0_12394]) ).

cnf(refute_0_12396,plain,
    product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) = product(product(a,quotient(c,a)),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(c,a),b)),product(product(a,quotient(c,a)),b)) )],[refute_0_12392,refute_0_12395]) ).

cnf(refute_0_12397,plain,
    product(product(c,quotient(c,a)),b) = product(product(c,quotient(c,a)),b),
    introduced(tautology,[refl,[$fot(product(product(c,quotient(c,a)),b))]]) ).

cnf(refute_0_12398,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | product(product(c,quotient(c,a)),b) != product(product(c,quotient(c,a)),b)
    | product(product(c,quotient(c,a)),b) = product(product(a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,quotient(c,a)),b),product(product(c,quotient(c,a)),b)) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_12399,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | product(product(c,quotient(c,a)),b) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(c,a)),b),product(product(c,quotient(c,a)),b)) )],[refute_0_12397,refute_0_12398]) ).

cnf(refute_0_12400,plain,
    product(product(c,quotient(c,a)),b) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_12399]) ).

cnf(refute_0_12401,plain,
    bigC(c,quotient(b,c),C) = product(product(c,quotient(b,c)),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(quotient(b,c)))]]) ).

cnf(refute_0_12402,plain,
    ( bigC(c,quotient(b,c),C) != product(product(c,quotient(b,c)),product(C,c))
    | product(c,quotient(b,c)) != difference(c,product(a,b))
    | bigC(c,quotient(b,c),C) = product(difference(c,product(a,b)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(b,c),C),product(product(c,quotient(b,c)),product(C,c))) ),[1,0],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_12403,plain,
    ( bigC(c,quotient(b,c),C) != product(product(c,quotient(b,c)),product(C,c))
    | bigC(c,quotient(b,c),C) = product(difference(c,product(a,b)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_12363,refute_0_12402]) ).

cnf(refute_0_12404,plain,
    bigC(c,quotient(b,c),C) = product(difference(c,product(a,b)),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),C),product(product(c,quotient(b,c)),product(C,c))) )],[refute_0_12401,refute_0_12403]) ).

cnf(refute_0_12405,plain,
    bigC(c,quotient(b,c),C) = product(product(c,C),b),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(b)),bind(X_21,$fot(c)),bind(X_22,$fot(C))]]) ).

cnf(refute_0_12406,plain,
    ( bigC(c,quotient(b,c),C) != product(difference(c,product(a,b)),product(C,c))
    | bigC(c,quotient(b,c),C) != product(product(c,C),b)
    | product(product(c,C),b) = product(difference(c,product(a,b)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(b,c),C),product(difference(c,product(a,b)),product(C,c))) ),[0],$fot(product(product(c,C),b))]]) ).

cnf(refute_0_12407,plain,
    ( bigC(c,quotient(b,c),C) != product(difference(c,product(a,b)),product(C,c))
    | product(product(c,C),b) = product(difference(c,product(a,b)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),C),product(product(c,C),b)) )],[refute_0_12405,refute_0_12406]) ).

cnf(refute_0_12408,plain,
    product(product(c,C),b) = product(difference(c,product(a,b)),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(b,c),C),product(difference(c,product(a,b)),product(C,c))) )],[refute_0_12404,refute_0_12407]) ).

cnf(refute_0_12409,plain,
    product(difference(c,product(a,b)),product(C,c)) = product(difference(c,product(a,b)),product(C,c)),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,b)),product(C,c)))]]) ).

cnf(refute_0_12410,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(difference(c,product(a,b)),product(C,c)) != product(difference(c,product(a,b)),product(C,c))
    | product(difference(c,product(a,b)),product(C,c)) = product(quotient(c,a),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,b)),product(C,c)),product(difference(c,product(a,b)),product(C,c))) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_12411,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(difference(c,product(a,b)),product(C,c)) = product(quotient(c,a),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),product(C,c)),product(difference(c,product(a,b)),product(C,c))) )],[refute_0_12409,refute_0_12410]) ).

cnf(refute_0_12412,plain,
    product(difference(c,product(a,b)),product(C,c)) = product(quotient(c,a),product(C,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_12411]) ).

cnf(refute_0_12413,plain,
    ( product(difference(c,product(a,b)),product(C,c)) != product(quotient(c,a),product(C,c))
    | product(product(c,C),b) != product(difference(c,product(a,b)),product(C,c))
    | product(product(c,C),b) = product(quotient(c,a),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,C),b),product(difference(c,product(a,b)),product(C,c))) ),[1],$fot(product(quotient(c,a),product(C,c)))]]) ).

cnf(refute_0_12414,plain,
    ( product(product(c,C),b) != product(difference(c,product(a,b)),product(C,c))
    | product(product(c,C),b) = product(quotient(c,a),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),product(C,c)),product(quotient(c,a),product(C,c))) )],[refute_0_12412,refute_0_12413]) ).

cnf(refute_0_12415,plain,
    product(product(c,C),b) = product(quotient(c,a),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(c,C),b),product(difference(c,product(a,b)),product(C,c))) )],[refute_0_12408,refute_0_12414]) ).

cnf(refute_0_12416,plain,
    ( product(product(c,C),b) != product(quotient(c,a),product(C,c))
    | product(quotient(c,a),product(C,c)) = product(product(c,C),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,C),b))),bind(Y,$fot(product(quotient(c,a),product(C,c))))]]) ).

cnf(refute_0_12417,plain,
    product(quotient(c,a),product(C,c)) = product(product(c,C),b),
    inference(resolve,[$cnf( $equal(product(product(c,C),b),product(quotient(c,a),product(C,c))) )],[refute_0_12415,refute_0_12416]) ).

cnf(refute_0_12418,plain,
    product(quotient(c,a),product(quotient(c,a),c)) = product(product(c,quotient(c,a)),b),
    inference(subst,[],[refute_0_12417:[bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_12419,plain,
    ( product(product(c,quotient(c,a)),b) != product(product(a,b),b)
    | product(quotient(c,a),product(quotient(c,a),c)) != product(product(c,quotient(c,a)),b)
    | product(quotient(c,a),product(quotient(c,a),c)) = product(product(a,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(c,a),product(quotient(c,a),c)))),bind(Y,$fot(product(product(c,quotient(c,a)),b))),bind(Z,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_12420,plain,
    ( product(product(c,quotient(c,a)),b) != product(product(a,b),b)
    | product(quotient(c,a),product(quotient(c,a),c)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),c)),product(product(c,quotient(c,a)),b)) )],[refute_0_12418,refute_0_12419]) ).

cnf(refute_0_12421,plain,
    product(quotient(c,a),product(quotient(c,a),c)) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(c,a)),b),product(product(a,b),b)) )],[refute_0_12400,refute_0_12420]) ).

cnf(refute_0_12422,plain,
    product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))))]]) ).

cnf(refute_0_12423,plain,
    ( product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c)))
    | product(quotient(c,a),product(quotient(c,a),c)) != product(product(a,b),b)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c)))) ),[1,1],$fot(product(product(a,b),b))]]) ).

cnf(refute_0_12424,plain,
    ( product(quotient(c,a),product(quotient(c,a),c)) != product(product(a,b),b)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c)))) )],[refute_0_12422,refute_0_12423]) ).

cnf(refute_0_12425,plain,
    product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(product(a,b),quotient(c,a)),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),c)),product(product(a,b),b)) )],[refute_0_12421,refute_0_12424]) ).

cnf(refute_0_12426,plain,
    ( product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) != product(product(a,quotient(c,a)),b)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != product(product(product(a,b),quotient(c,a)),product(product(a,b),b))
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(a,quotient(c,a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))))),bind(Y,$fot(product(product(product(a,b),quotient(c,a)),product(product(a,b),b)))),bind(Z,$fot(product(product(a,quotient(c,a)),b)))]]) ).

cnf(refute_0_12427,plain,
    ( product(product(product(a,b),quotient(c,a)),product(product(a,b),b)) != product(product(a,quotient(c,a)),b)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(a,quotient(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),product(product(product(a,b),quotient(c,a)),product(product(a,b),b))) )],[refute_0_12425,refute_0_12426]) ).

cnf(refute_0_12428,plain,
    product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) = product(product(a,quotient(c,a)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(product(a,b),b)),product(product(a,quotient(c,a)),b)) )],[refute_0_12396,refute_0_12427]) ).

cnf(refute_0_12429,plain,
    ( product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != product(product(a,quotient(c,a)),b)
    | product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != quotient(c,a)
    | product(product(a,quotient(c,a)),b) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),quotient(c,a)) ),[0],$fot(product(product(a,quotient(c,a)),b))]]) ).

cnf(refute_0_12430,plain,
    ( product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) != quotient(c,a)
    | product(product(a,quotient(c,a)),b) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),product(product(a,quotient(c,a)),b)) )],[refute_0_12428,refute_0_12429]) ).

cnf(refute_0_12431,plain,
    product(product(a,quotient(c,a)),b) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))),quotient(c,a)) )],[refute_0_12391,refute_0_12430]) ).

cnf(refute_0_12432,plain,
    ( product(product(a,quotient(c,a)),b) != quotient(c,a)
    | quotient(product(product(a,quotient(c,a)),b),b) != product(a,quotient(c,a))
    | quotient(quotient(c,a),b) = product(a,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,quotient(c,a)),b),b),product(a,quotient(c,a))) ),[0,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_12433,plain,
    ( quotient(product(product(a,quotient(c,a)),b),b) != product(a,quotient(c,a))
    | quotient(quotient(c,a),b) = product(a,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),quotient(c,a)) )],[refute_0_12431,refute_0_12432]) ).

cnf(refute_0_12434,plain,
    quotient(quotient(c,a),b) = product(a,quotient(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,quotient(c,a)),b),b),product(a,quotient(c,a))) )],[refute_0_12249,refute_0_12433]) ).

cnf(refute_0_12435,plain,
    quotient(quotient(b,product(b,quotient(c,b))),b) = difference(b,product(quotient(c,b),b)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(b)),bind(X_29,$fot(quotient(c,b)))]]) ).

cnf(refute_0_12436,plain,
    product(b,difference(b,difference(c,product(b,c)))) = difference(c,product(b,c)),
    inference(subst,[],[sos02:[bind(A,$fot(b)),bind(B,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_12437,plain,
    product(product(product(difference(c,product(a,c)),quotient(c,b)),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = quotient(c,b),
    inference(subst,[],[sos07:[bind(A,$fot(difference(c,product(a,c)))),bind(B,$fot(quotient(c,b)))]]) ).

cnf(refute_0_12438,plain,
    product(quotient(c,difference(c,product(b,a))),difference(c,product(b,a))) = c,
    inference(subst,[],[sos04:[bind(A,$fot(c)),bind(B,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_12439,plain,
    ( product(quotient(c,difference(c,product(b,a))),difference(c,product(b,a))) != c
    | quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | product(difference(c,product(a,c)),difference(c,product(b,a))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,difference(c,product(b,a))),difference(c,product(b,a))),c) ),[0,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_12440,plain,
    ( product(quotient(c,difference(c,product(b,a))),difference(c,product(b,a))) != c
    | product(difference(c,product(a,c)),difference(c,product(b,a))) = c ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_12439]) ).

cnf(refute_0_12441,plain,
    product(difference(c,product(a,c)),difference(c,product(b,a))) = c,
    inference(resolve,[$cnf( $equal(product(quotient(c,difference(c,product(b,a))),difference(c,product(b,a))),c) )],[refute_0_12438,refute_0_12440]) ).

cnf(refute_0_12442,plain,
    product(difference(c,product(a,c)),difference(c,product(b,a))) = product(difference(c,product(a,c)),difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,c)),difference(c,product(b,a))))]]) ).

cnf(refute_0_12443,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(a,c)),difference(c,product(b,a))) != product(difference(c,product(a,c)),difference(c,product(b,a)))
    | product(difference(c,product(a,c)),difference(c,product(b,a))) = product(difference(c,product(a,c)),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,c)),difference(c,product(b,a))),product(difference(c,product(a,c)),difference(c,product(b,a)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_12444,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(a,c)),difference(c,product(b,a))) = product(difference(c,product(a,c)),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),difference(c,product(b,a))),product(difference(c,product(a,c)),difference(c,product(b,a)))) )],[refute_0_12442,refute_0_12443]) ).

cnf(refute_0_12445,plain,
    product(difference(c,product(a,c)),difference(c,product(b,a))) = product(difference(c,product(a,c)),quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_12444]) ).

cnf(refute_0_12446,plain,
    ( product(difference(c,product(a,c)),difference(c,product(b,a))) != c
    | product(difference(c,product(a,c)),difference(c,product(b,a))) != product(difference(c,product(a,c)),quotient(c,b))
    | product(difference(c,product(a,c)),quotient(c,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,c)),difference(c,product(b,a))),c) ),[0],$fot(product(difference(c,product(a,c)),quotient(c,b)))]]) ).

cnf(refute_0_12447,plain,
    ( product(difference(c,product(a,c)),difference(c,product(b,a))) != c
    | product(difference(c,product(a,c)),quotient(c,b)) = c ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),difference(c,product(b,a))),product(difference(c,product(a,c)),quotient(c,b))) )],[refute_0_12445,refute_0_12446]) ).

cnf(refute_0_12448,plain,
    product(difference(c,product(a,c)),quotient(c,b)) = c,
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),difference(c,product(b,a))),c) )],[refute_0_12441,refute_0_12447]) ).

cnf(refute_0_12449,plain,
    ( product(difference(c,product(a,c)),quotient(c,b)) != c
    | product(product(product(difference(c,product(a,c)),quotient(c,b)),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != quotient(c,b)
    | product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = quotient(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,product(a,c)),quotient(c,b)),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),quotient(c,b)) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_12450,plain,
    ( product(product(product(difference(c,product(a,c)),quotient(c,b)),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != quotient(c,b)
    | product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = quotient(c,b) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),quotient(c,b)),c) )],[refute_0_12448,refute_0_12449]) ).

cnf(refute_0_12451,plain,
    product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = quotient(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,product(a,c)),quotient(c,b)),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),quotient(c,b)) )],[refute_0_12437,refute_0_12450]) ).

cnf(refute_0_12452,plain,
    difference(b,product(b,product(product(b,a),difference(product(c,b),product(b,a))))) = product(product(b,a),difference(product(c,b),product(b,a))),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_12453,plain,
    quotient(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))),
    inference(subst,[],[sos03:[bind(A,$fot(product(b,product(product(b,a),difference(product(c,b),product(b,a)))))),bind(B,$fot(c))]]) ).

cnf(refute_0_12454,plain,
    product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(product(c,b),quotient(product(a,c),product(c,b))))) = product(product(c,b),quotient(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_2405:[bind(A,$fot(product(c,b))),bind(X_22,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12455,plain,
    ( product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(product(c,b),quotient(product(a,c),product(c,b))))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(product(c,b),quotient(product(a,c),product(c,b))))),product(product(c,b),quotient(product(a,c),product(c,b)))) ),[0,1,2],$fot(product(b,a))]]) ).

cnf(refute_0_12456,plain,
    ( product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(product(c,b),quotient(product(a,c),product(c,b))))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_12455]) ).

cnf(refute_0_12457,plain,
    product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(c,b),quotient(product(a,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(product(c,b),quotient(product(a,c),product(c,b))))),product(product(c,b),quotient(product(a,c),product(c,b)))) )],[refute_0_12454,refute_0_12456]) ).

cnf(refute_0_12458,plain,
    product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(b)),bind(X_64,$fot(product(product(b,a),quotient(product(a,c),product(c,b))))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_12459,plain,
    product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)))]]) ).

cnf(refute_0_12460,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) != product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))
    | product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_12461,plain,
    ( product(product(c,b),product(b,a)) != product(b,c)
    | product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))) )],[refute_0_12459,refute_0_12460]) ).

cnf(refute_0_12462,plain,
    product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,a)),product(b,c)) )],[refute_0_2290,refute_0_12461]) ).

cnf(refute_0_12463,plain,
    ( product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) != product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))
    | product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)))),bind(Y,$fot(product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)))),bind(Z,$fot(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)))]]) ).

cnf(refute_0_12464,plain,
    ( product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))) )],[refute_0_12462,refute_0_12463]) ).

cnf(refute_0_12465,plain,
    product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)) )],[refute_0_12458,refute_0_12464]) ).

cnf(refute_0_12466,plain,
    product(product(A,product(b,a)),product(C,c)) = product(product(A,C),product(product(b,a),c)),
    inference(subst,[],[sos05:[bind(B,$fot(product(b,a))),bind(D,$fot(c))]]) ).

cnf(refute_0_12467,plain,
    ( product(product(A,product(b,a)),product(C,c)) != product(product(A,C),product(product(b,a),c))
    | product(product(b,a),c) != product(c,product(c,a))
    | product(product(A,product(b,a)),product(C,c)) = product(product(A,C),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(b,a)),product(C,c)),product(product(A,C),product(product(b,a),c))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_12468,plain,
    ( product(product(A,product(b,a)),product(C,c)) != product(product(A,C),product(product(b,a),c))
    | product(product(A,product(b,a)),product(C,c)) = product(product(A,C),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_12467]) ).

cnf(refute_0_12469,plain,
    product(product(A,product(b,a)),product(C,c)) = product(product(A,C),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(A,product(b,a)),product(C,c)),product(product(A,C),product(product(b,a),c))) )],[refute_0_12466,refute_0_12468]) ).

cnf(refute_0_12470,plain,
    ( product(product(A,product(b,a)),product(C,c)) != product(product(A,C),product(c,product(c,a)))
    | product(product(A,C),product(c,product(c,a))) = product(product(A,product(b,a)),product(C,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,product(b,a)),product(C,c)))),bind(Y,$fot(product(product(A,C),product(c,product(c,a)))))]]) ).

cnf(refute_0_12471,plain,
    product(product(A,C),product(c,product(c,a))) = product(product(A,product(b,a)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(b,a)),product(C,c)),product(product(A,C),product(c,product(c,a)))) )],[refute_0_12469,refute_0_12470]) ).

cnf(refute_0_12472,plain,
    product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) = product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),
    inference(subst,[],[refute_0_12471:[bind(A,$fot(product(c,b))),bind(C,$fot(product(product(b,a),quotient(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_12473,plain,
    ( product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) != product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))
    | product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))))),bind(Y,$fot(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)))),bind(Z,$fot(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)))]]) ).

cnf(refute_0_12474,plain,
    ( product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))),product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c))) )],[refute_0_12472,refute_0_12473]) ).

cnf(refute_0_12475,plain,
    product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(b,a)),product(product(product(b,a),quotient(product(a,c),product(c,b))),c)),product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)) )],[refute_0_12465,refute_0_12474]) ).

cnf(refute_0_12476,plain,
    product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(product(product(c,b),quotient(product(a,c),product(c,b))),c),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),quotient(product(a,c),product(c,b))),c))]]) ).

cnf(refute_0_12477,plain,
    ( product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) != product(product(product(c,b),quotient(product(a,c),product(c,b))),c)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),c),product(product(product(c,b),quotient(product(a,c),product(c,b))),c)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12478,plain,
    ( product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),c),product(product(product(c,b),quotient(product(a,c),product(c,b))),c)) )],[refute_0_12476,refute_0_12477]) ).

cnf(refute_0_12479,plain,
    product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(product(b,a),c),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_12478]) ).

cnf(refute_0_12480,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) != product(product(b,a),c)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),quotient(product(a,c),product(c,b))),c))),bind(Y,$fot(product(product(b,a),c))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_12481,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),c),product(product(b,a),c)) )],[refute_0_12479,refute_0_12480]) ).

cnf(refute_0_12482,plain,
    product(product(product(c,b),quotient(product(a,c),product(c,b))),c) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_12481]) ).

cnf(refute_0_12483,plain,
    bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) = product(product(product(c,b),quotient(product(a,c),product(c,b))),c),
    inference(subst,[],[refute_0_3515:[bind(X_22,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12484,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) != product(product(product(c,b),quotient(product(a,c),product(c,b))),c)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),c) != product(c,product(c,a))
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))),bind(Y,$fot(product(product(product(c,b),quotient(product(a,c),product(c,b))),c))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_12485,plain,
    ( product(product(product(c,b),quotient(product(a,c),product(c,b))),c) != product(c,product(c,a))
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)),product(product(product(c,b),quotient(product(a,c),product(c,b))),c)) )],[refute_0_12483,refute_0_12484]) ).

cnf(refute_0_12486,plain,
    bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),c),product(c,product(c,a))) )],[refute_0_12482,refute_0_12485]) ).

cnf(refute_0_12487,plain,
    product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))))]]) ).

cnf(refute_0_12488,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) != product(c,product(c,a))
    | product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))
    | product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_12489,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)) != product(c,product(c,a))
    | product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))) )],[refute_0_12487,refute_0_12488]) ).

cnf(refute_0_12490,plain,
    product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)),product(c,product(c,a))) )],[refute_0_12486,refute_0_12489]) ).

cnf(refute_0_12491,plain,
    product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12492,plain,
    ( product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(product(b,a),quotient(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12493,plain,
    ( product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(product(b,a),quotient(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) )],[refute_0_12491,refute_0_12492]) ).

cnf(refute_0_12494,plain,
    product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(product(b,a),quotient(product(a,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_12493]) ).

cnf(refute_0_12495,plain,
    product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) = product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_12496,plain,
    ( product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) != product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))))
    | product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(product(b,a),quotient(product(a,c),product(c,b)))
    | product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) = product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))))) ),[1,1],$fot(product(product(b,a),quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12497,plain,
    ( product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(product(b,a),quotient(product(a,c),product(c,b)))
    | product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) = product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))))) )],[refute_0_12495,refute_0_12496]) ).

cnf(refute_0_12498,plain,
    product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) = product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(product(b,a),quotient(product(a,c),product(c,b)))) )],[refute_0_12494,refute_0_12497]) ).

cnf(refute_0_12499,plain,
    product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))))]]) ).

cnf(refute_0_12500,plain,
    ( product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) != product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b))))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))) ),[1,0],$fot(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_12501,plain,
    ( product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) != product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b))))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))) )],[refute_0_12499,refute_0_12500]) ).

cnf(refute_0_12502,plain,
    product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b))))) )],[refute_0_12498,refute_0_12501]) ).

cnf(refute_0_12503,plain,
    ( product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))))),bind(Y,$fot(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))))),bind(Z,$fot(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a)))))]]) ).

cnf(refute_0_12504,plain,
    ( product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a)))) )],[refute_0_12502,refute_0_12503]) ).

cnf(refute_0_12505,plain,
    product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a)))) )],[refute_0_12490,refute_0_12504]) ).

cnf(refute_0_12506,plain,
    ( product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a)))
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))))),bind(Y,$fot(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))))),bind(Z,$fot(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)))]]) ).

cnf(refute_0_12507,plain,
    ( product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a)))) )],[refute_0_12505,refute_0_12506]) ).

cnf(refute_0_12508,plain,
    product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(b,a),quotient(product(a,c),product(c,b)))),product(c,product(c,a))),product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)) )],[refute_0_12475,refute_0_12507]) ).

cnf(refute_0_12509,plain,
    ( product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(c,b),quotient(product(a,c),product(c,b)))) ),[0],$fot(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c))]]) ).

cnf(refute_0_12510,plain,
    ( product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(product(c,b),quotient(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)) )],[refute_0_12508,refute_0_12509]) ).

cnf(refute_0_12511,plain,
    ( product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(b,a)) ),[0],$fot(product(product(c,b),quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12512,plain,
    ( product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_12511]) ).

cnf(refute_0_12513,plain,
    ( product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))) != product(product(c,b),quotient(product(a,c),product(c,b)))
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(product(c,b),quotient(product(a,c),product(c,b)))) )],[refute_0_12510,refute_0_12512]) ).

cnf(refute_0_12514,plain,
    product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(b,a),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))),bigC(product(c,b),quotient(product(a,c),product(c,b)),product(b,a))),product(product(c,b),quotient(product(a,c),product(c,b)))) )],[refute_0_12457,refute_0_12513]) ).

cnf(refute_0_12515,plain,
    product(product(b,a),quotient(product(a,c),product(c,b))) = product(product(b,a),quotient(product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(b,a),quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12516,plain,
    ( product(product(b,a),quotient(product(a,c),product(c,b))) != product(product(b,a),quotient(product(a,c),product(c,b)))
    | quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(product(b,a),quotient(product(a,c),product(c,b))) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),quotient(product(a,c),product(c,b))),product(product(b,a),quotient(product(a,c),product(c,b)))) ),[1,1],$fot(difference(product(c,b),product(b,a)))]]) ).

cnf(refute_0_12517,plain,
    ( quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(product(b,a),quotient(product(a,c),product(c,b))) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(a,c),product(c,b))),product(product(b,a),quotient(product(a,c),product(c,b)))) )],[refute_0_12515,refute_0_12516]) ).

cnf(refute_0_12518,plain,
    product(product(b,a),quotient(product(a,c),product(c,b))) = product(product(b,a),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),difference(product(c,b),product(b,a))) )],[refute_0_9063,refute_0_12517]) ).

cnf(refute_0_12519,plain,
    product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) = product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))))]]) ).

cnf(refute_0_12520,plain,
    ( product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) != product(b,product(product(b,a),quotient(product(a,c),product(c,b))))
    | product(product(b,a),quotient(product(a,c),product(c,b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),product(b,product(product(b,a),quotient(product(a,c),product(c,b))))) ),[1,1],$fot(product(product(b,a),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_12521,plain,
    ( product(product(b,a),quotient(product(a,c),product(c,b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),product(b,product(product(b,a),quotient(product(a,c),product(c,b))))) )],[refute_0_12519,refute_0_12520]) ).

cnf(refute_0_12522,plain,
    product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(a,c),product(c,b))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_12518,refute_0_12521]) ).

cnf(refute_0_12523,plain,
    product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),
    introduced(tautology,[refl,[$fot(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c))]]) ).

cnf(refute_0_12524,plain,
    ( product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) != product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)) ),[1,0],$fot(product(b,product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_12525,plain,
    ( product(b,product(product(b,a),quotient(product(a,c),product(c,b)))) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c)) )],[refute_0_12523,refute_0_12524]) ).

cnf(refute_0_12526,plain,
    product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) = product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),product(b,product(product(b,a),difference(product(c,b),product(b,a))))) )],[refute_0_12522,refute_0_12525]) ).

cnf(refute_0_12527,plain,
    ( product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) != product(b,a)
    | product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) != product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)
    | product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(b,a)) ),[0],$fot(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))]]) ).

cnf(refute_0_12528,plain,
    ( product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c) != product(b,a)
    | product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) )],[refute_0_12526,refute_0_12527]) ).

cnf(refute_0_12529,plain,
    product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = product(b,a),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,a),quotient(product(a,c),product(c,b)))),c),product(b,a)) )],[refute_0_12514,refute_0_12528]) ).

cnf(refute_0_12530,plain,
    ( product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) != product(b,a)
    | quotient(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | quotient(product(b,a),c) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c),product(b,product(product(b,a),difference(product(c,b),product(b,a))))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_12531,plain,
    ( quotient(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | quotient(product(b,a),c) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),product(b,a)) )],[refute_0_12529,refute_0_12530]) ).

cnf(refute_0_12532,plain,
    quotient(product(b,a),c) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(quotient(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c),product(b,product(product(b,a),difference(product(c,b),product(b,a))))) )],[refute_0_12453,refute_0_12531]) ).

cnf(refute_0_12533,plain,
    ( quotient(product(b,a),c) != difference(c,product(b,c))
    | quotient(product(b,a),c) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | difference(c,product(b,c)) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),c),product(b,product(product(b,a),difference(product(c,b),product(b,a))))) ),[0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_12534,plain,
    ( quotient(product(b,a),c) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | difference(c,product(b,c)) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),difference(c,product(b,c))) )],[refute_0_4191,refute_0_12533]) ).

cnf(refute_0_12535,plain,
    difference(c,product(b,c)) = product(b,product(product(b,a),difference(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),product(b,product(product(b,a),difference(product(c,b),product(b,a))))) )],[refute_0_12532,refute_0_12534]) ).

cnf(refute_0_12536,plain,
    ( difference(c,product(b,c)) != product(b,product(product(b,a),difference(product(c,b),product(b,a))))
    | product(b,product(product(b,a),difference(product(c,b),product(b,a)))) = difference(c,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(b,c)))),bind(Y,$fot(product(b,product(product(b,a),difference(product(c,b),product(b,a))))))]]) ).

cnf(refute_0_12537,plain,
    product(b,product(product(b,a),difference(product(c,b),product(b,a)))) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),product(b,product(product(b,a),difference(product(c,b),product(b,a))))) )],[refute_0_12535,refute_0_12536]) ).

cnf(refute_0_12538,plain,
    ( difference(b,product(b,product(product(b,a),difference(product(c,b),product(b,a))))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(b,product(product(b,a),difference(product(c,b),product(b,a)))) != difference(c,product(b,c))
    | difference(b,difference(c,product(b,c))) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(product(b,a),difference(product(c,b),product(b,a))))),product(product(b,a),difference(product(c,b),product(b,a)))) ),[0,1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_12539,plain,
    ( difference(b,product(b,product(product(b,a),difference(product(c,b),product(b,a))))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | difference(b,difference(c,product(b,c))) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),difference(c,product(b,c))) )],[refute_0_12537,refute_0_12538]) ).

cnf(refute_0_12540,plain,
    difference(b,difference(c,product(b,c))) = product(product(b,a),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(product(b,a),difference(product(c,b),product(b,a))))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_12452,refute_0_12539]) ).

cnf(refute_0_12541,plain,
    quotient(product(difference(product(c,b),product(b,a)),c),c) = difference(product(c,b),product(b,a)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(product(c,b),product(b,a)))),bind(B,$fot(c))]]) ).

cnf(refute_0_12542,plain,
    difference(product(c,product(a,b)),bigC(c,product(a,b),difference(product(c,b),product(b,a)))) = product(difference(product(c,b),product(b,a)),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_12543,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != bigC(c,product(a,b),X_22)
    | bigC(product(c,b),X_22,product(a,c)) != product(product(c,product(c,a)),product(X_22,b))
    | bigC(c,product(a,b),X_22) = product(product(c,product(c,a)),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(c,product(c,a)),product(X_22,b))) ),[0],$fot(bigC(c,product(a,b),X_22))]]) ).

cnf(refute_0_12544,plain,
    ( bigC(product(c,b),X_22,product(a,c)) != product(product(c,product(c,a)),product(X_22,b))
    | bigC(c,product(a,b),X_22) = product(product(c,product(c,a)),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),bigC(c,product(a,b),X_22)) )],[refute_0_9118,refute_0_12543]) ).

cnf(refute_0_12545,plain,
    bigC(c,product(a,b),X_22) = product(product(c,product(c,a)),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_22,product(a,c)),product(product(c,product(c,a)),product(X_22,b))) )],[refute_0_9005,refute_0_12544]) ).

cnf(refute_0_12546,plain,
    bigC(c,product(a,b),difference(product(c,b),product(b,a))) = product(product(c,product(c,a)),product(difference(product(c,b),product(b,a)),b)),
    inference(subst,[],[refute_0_12545:[bind(X_22,$fot(difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_12547,plain,
    difference(bigC(a,b,b),product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) = product(difference(product(c,b),product(b,a)),b),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_12548,plain,
    bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(product(product(c,b),quotient(product(a,c),product(c,b))),product(c,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_12549,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(product(product(c,b),quotient(product(a,c),product(c,b))),product(c,b))
    | product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)),product(product(product(c,b),quotient(product(a,c),product(c,b))),product(c,b))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_12550,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(product(product(c,b),quotient(product(a,c),product(c,b))),product(c,b))
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_12549]) ).

cnf(refute_0_12551,plain,
    bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)),product(product(product(c,b),quotient(product(a,c),product(c,b))),product(c,b))) )],[refute_0_12548,refute_0_12550]) ).

cnf(refute_0_12552,plain,
    product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)))]]) ).

cnf(refute_0_12553,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) != product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b))
    | product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)),product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_12554,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)),product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b))) )],[refute_0_12552,refute_0_12553]) ).

cnf(refute_0_12555,plain,
    product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_12554]) ).

cnf(refute_0_12556,plain,
    bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(quotient(product(a,c),product(c,b)))),bind(D,$fot(b))]]) ).

cnf(refute_0_12557,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b))
    | product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) != product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)))),bind(Z,$fot(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))))]]) ).

cnf(refute_0_12558,plain,
    ( product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)) != product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)),product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b))) )],[refute_0_12556,refute_0_12557]) ).

cnf(refute_0_12559,plain,
    bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(quotient(product(a,c),product(c,b)),b)),product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))) )],[refute_0_12555,refute_0_12558]) ).

cnf(refute_0_12560,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))
    | bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(product(b,a),product(c,b))
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = product(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)),product(product(b,a),product(c,b))) ),[0],$fot(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)))]]) ).

cnf(refute_0_12561,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(product(b,a),product(c,b))
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = product(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)),product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))) )],[refute_0_12559,refute_0_12560]) ).

cnf(refute_0_12562,plain,
    ( product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) != product(product(b,a),product(c,b))
    | product(product(b,a),product(c,b)) != c
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),c) ),[0],$fot(product(product(b,a),product(c,b)))]]) ).

cnf(refute_0_12563,plain,
    ( product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) != product(product(b,a),product(c,b))
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),c) )],[refute_0_2320,refute_0_12562]) ).

cnf(refute_0_12564,plain,
    ( bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)) != product(product(b,a),product(c,b))
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),product(product(b,a),product(c,b))) )],[refute_0_12561,refute_0_12563]) ).

cnf(refute_0_12565,plain,
    product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = c,
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(product(a,c),product(c,b)),product(c,b)),product(product(b,a),product(c,b))) )],[refute_0_12551,refute_0_12564]) ).

cnf(refute_0_12566,plain,
    product(quotient(product(a,c),product(c,b)),b) = product(quotient(product(a,c),product(c,b)),b),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,c),product(c,b)),b))]]) ).

cnf(refute_0_12567,plain,
    ( product(quotient(product(a,c),product(c,b)),b) != product(quotient(product(a,c),product(c,b)),b)
    | quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(quotient(product(a,c),product(c,b)),b) = product(difference(product(c,b),product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),b),product(quotient(product(a,c),product(c,b)),b)) ),[1,0],$fot(difference(product(c,b),product(b,a)))]]) ).

cnf(refute_0_12568,plain,
    ( quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(quotient(product(a,c),product(c,b)),b) = product(difference(product(c,b),product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),b),product(quotient(product(a,c),product(c,b)),b)) )],[refute_0_12566,refute_0_12567]) ).

cnf(refute_0_12569,plain,
    product(quotient(product(a,c),product(c,b)),b) = product(difference(product(c,b),product(b,a)),b),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),difference(product(c,b),product(b,a))) )],[refute_0_9063,refute_0_12568]) ).

cnf(refute_0_12570,plain,
    product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)))]]) ).

cnf(refute_0_12571,plain,
    ( product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) != product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))
    | product(quotient(product(a,c),product(c,b)),b) != product(difference(product(c,b),product(b,a)),b)
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))) ),[1,1],$fot(product(difference(product(c,b),product(b,a)),b))]]) ).

cnf(refute_0_12572,plain,
    ( product(quotient(product(a,c),product(c,b)),b) != product(difference(product(c,b),product(b,a)),b)
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b))) )],[refute_0_12570,refute_0_12571]) ).

cnf(refute_0_12573,plain,
    product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) = product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),b),product(difference(product(c,b),product(b,a)),b)) )],[refute_0_12569,refute_0_12572]) ).

cnf(refute_0_12574,plain,
    ( product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) != c
    | product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) != product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))
    | product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),c) ),[0],$fot(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_12575,plain,
    ( product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)) != c
    | product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) )],[refute_0_12573,refute_0_12574]) ).

cnf(refute_0_12576,plain,
    product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = c,
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(quotient(product(a,c),product(c,b)),b)),c) )],[refute_0_12565,refute_0_12575]) ).

cnf(refute_0_12577,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) != product(difference(product(c,b),product(b,a)),b)
    | product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != c
    | difference(bigC(a,b,b),c) = product(difference(product(c,b),product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))),product(difference(product(c,b),product(b,a)),b)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_12578,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) != product(difference(product(c,b),product(b,a)),b)
    | difference(bigC(a,b,b),c) = product(difference(product(c,b),product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),c) )],[refute_0_12576,refute_0_12577]) ).

cnf(refute_0_12579,plain,
    difference(bigC(a,b,b),c) = product(difference(product(c,b),product(b,a)),b),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))),product(difference(product(c,b),product(b,a)),b)) )],[refute_0_12547,refute_0_12578]) ).

cnf(refute_0_12580,plain,
    difference(bigC(b,a,b),c) = difference(bigC(b,a,b),c),
    introduced(tautology,[refl,[$fot(difference(bigC(b,a,b),c))]]) ).

cnf(refute_0_12581,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,a,b),c) != difference(bigC(b,a,b),c)
    | difference(bigC(b,a,b),c) = difference(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),c),difference(bigC(b,a,b),c)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_12582,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,a,b),c) = difference(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),difference(bigC(b,a,b),c)) )],[refute_0_12580,refute_0_12581]) ).

cnf(refute_0_12583,plain,
    difference(bigC(b,a,b),c) = difference(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_12582]) ).

cnf(refute_0_12584,plain,
    ( difference(bigC(b,a,b),c) != difference(bigC(a,b,b),c)
    | difference(bigC(b,a,b),c) != product(a,product(b,c))
    | difference(bigC(a,b,b),c) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) ),[0],$fot(difference(bigC(a,b,b),c))]]) ).

cnf(refute_0_12585,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | difference(bigC(a,b,b),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),difference(bigC(a,b,b),c)) )],[refute_0_12583,refute_0_12584]) ).

cnf(refute_0_12586,plain,
    difference(bigC(a,b,b),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_9187,refute_0_12585]) ).

cnf(refute_0_12587,plain,
    ( difference(bigC(a,b,b),c) != product(a,product(b,c))
    | difference(bigC(a,b,b),c) != product(difference(product(c,b),product(b,a)),b)
    | product(a,product(b,c)) = product(difference(product(c,b),product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),c),product(difference(product(c,b),product(b,a)),b)) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12588,plain,
    ( difference(bigC(a,b,b),c) != product(difference(product(c,b),product(b,a)),b)
    | product(a,product(b,c)) = product(difference(product(c,b),product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),c),product(a,product(b,c))) )],[refute_0_12586,refute_0_12587]) ).

cnf(refute_0_12589,plain,
    product(a,product(b,c)) = product(difference(product(c,b),product(b,a)),b),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),c),product(difference(product(c,b),product(b,a)),b)) )],[refute_0_12579,refute_0_12588]) ).

cnf(refute_0_12590,plain,
    ( product(a,product(b,c)) != product(difference(product(c,b),product(b,a)),b)
    | product(difference(product(c,b),product(b,a)),b) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_12591,plain,
    product(difference(product(c,b),product(b,a)),b) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(difference(product(c,b),product(b,a)),b)) )],[refute_0_12589,refute_0_12590]) ).

cnf(refute_0_12592,plain,
    ( bigC(c,product(a,b),difference(product(c,b),product(b,a))) != product(product(c,product(c,a)),product(difference(product(c,b),product(b,a)),b))
    | product(difference(product(c,b),product(b,a)),b) != product(a,product(b,c))
    | bigC(c,product(a,b),difference(product(c,b),product(b,a))) = product(product(c,product(c,a)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),difference(product(c,b),product(b,a))),product(product(c,product(c,a)),product(difference(product(c,b),product(b,a)),b))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12593,plain,
    ( bigC(c,product(a,b),difference(product(c,b),product(b,a))) != product(product(c,product(c,a)),product(difference(product(c,b),product(b,a)),b))
    | bigC(c,product(a,b),difference(product(c,b),product(b,a))) = product(product(c,product(c,a)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),b),product(a,product(b,c))) )],[refute_0_12591,refute_0_12592]) ).

cnf(refute_0_12594,plain,
    bigC(c,product(a,b),difference(product(c,b),product(b,a))) = product(product(c,product(c,a)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),difference(product(c,b),product(b,a))),product(product(c,product(c,a)),product(difference(product(c,b),product(b,a)),b))) )],[refute_0_12546,refute_0_12593]) ).

cnf(refute_0_12595,plain,
    product(product(A,c),product(C,product(a,b))) = product(product(A,C),product(c,product(a,b))),
    inference(subst,[],[sos05:[bind(B,$fot(c)),bind(D,$fot(product(a,b)))]]) ).

cnf(refute_0_12596,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(A,c),product(C,product(a,b))) != product(product(A,C),product(c,product(a,b)))
    | product(product(A,c),product(C,product(a,b))) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(a,b))),product(product(A,C),product(c,product(a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12597,plain,
    ( product(product(A,c),product(C,product(a,b))) != product(product(A,C),product(c,product(a,b)))
    | product(product(A,c),product(C,product(a,b))) = product(product(A,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_12596]) ).

cnf(refute_0_12598,plain,
    product(product(A,c),product(C,product(a,b))) = product(product(A,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(a,b))),product(product(A,C),product(c,product(a,b)))) )],[refute_0_12595,refute_0_12597]) ).

cnf(refute_0_12599,plain,
    ( product(product(A,c),product(C,product(a,b))) != product(product(A,C),product(a,product(b,c)))
    | product(product(A,C),product(a,product(b,c))) = product(product(A,c),product(C,product(a,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,c),product(C,product(a,b))))),bind(Y,$fot(product(product(A,C),product(a,product(b,c)))))]]) ).

cnf(refute_0_12600,plain,
    product(product(A,C),product(a,product(b,c))) = product(product(A,c),product(C,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(a,b))),product(product(A,C),product(a,product(b,c)))) )],[refute_0_12598,refute_0_12599]) ).

cnf(refute_0_12601,plain,
    product(product(c,product(c,a)),product(a,product(b,c))) = product(product(c,c),product(product(c,a),product(a,b))),
    inference(subst,[],[refute_0_12600:[bind(A,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_12602,plain,
    ( product(product(c,c),product(product(c,a),product(a,b))) != bigC(a,a,b)
    | product(product(c,product(c,a)),product(a,product(b,c))) != product(product(c,c),product(product(c,a),product(a,b)))
    | product(product(c,product(c,a)),product(a,product(b,c))) = bigC(a,a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),product(a,product(b,c))))),bind(Y,$fot(product(product(c,c),product(product(c,a),product(a,b))))),bind(Z,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_12603,plain,
    ( product(product(c,c),product(product(c,a),product(a,b))) != bigC(a,a,b)
    | product(product(c,product(c,a)),product(a,product(b,c))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(a,product(b,c))),product(product(c,c),product(product(c,a),product(a,b)))) )],[refute_0_12601,refute_0_12602]) ).

cnf(refute_0_12604,plain,
    product(product(c,product(c,a)),product(a,product(b,c))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),product(a,b))),bigC(a,a,b)) )],[refute_0_4681,refute_0_12603]) ).

cnf(refute_0_12605,plain,
    ( bigC(c,product(a,b),difference(product(c,b),product(b,a))) != product(product(c,product(c,a)),product(a,product(b,c)))
    | product(product(c,product(c,a)),product(a,product(b,c))) != bigC(a,a,b)
    | bigC(c,product(a,b),difference(product(c,b),product(b,a))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,b),difference(product(c,b),product(b,a))),bigC(a,a,b)) ),[0],$fot(product(product(c,product(c,a)),product(a,product(b,c))))]]) ).

cnf(refute_0_12606,plain,
    ( bigC(c,product(a,b),difference(product(c,b),product(b,a))) != product(product(c,product(c,a)),product(a,product(b,c)))
    | bigC(c,product(a,b),difference(product(c,b),product(b,a))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(a,product(b,c))),bigC(a,a,b)) )],[refute_0_12604,refute_0_12605]) ).

cnf(refute_0_12607,plain,
    bigC(c,product(a,b),difference(product(c,b),product(b,a))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),difference(product(c,b),product(b,a))),product(product(c,product(c,a)),product(a,product(b,c)))) )],[refute_0_12594,refute_0_12606]) ).

cnf(refute_0_12608,plain,
    ( bigC(c,product(a,b),difference(product(c,b),product(b,a))) != bigC(a,a,b)
    | difference(product(c,product(a,b)),bigC(c,product(a,b),difference(product(c,b),product(b,a)))) != product(difference(product(c,b),product(b,a)),c)
    | difference(product(c,product(a,b)),bigC(a,a,b)) = product(difference(product(c,b),product(b,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,b)),bigC(c,product(a,b),difference(product(c,b),product(b,a)))),product(difference(product(c,b),product(b,a)),c)) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12609,plain,
    ( difference(product(c,product(a,b)),bigC(c,product(a,b),difference(product(c,b),product(b,a)))) != product(difference(product(c,b),product(b,a)),c)
    | difference(product(c,product(a,b)),bigC(a,a,b)) = product(difference(product(c,b),product(b,a)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),difference(product(c,b),product(b,a))),bigC(a,a,b)) )],[refute_0_12607,refute_0_12608]) ).

cnf(refute_0_12610,plain,
    difference(product(c,product(a,b)),bigC(a,a,b)) = product(difference(product(c,b),product(b,a)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),bigC(c,product(a,b),difference(product(c,b),product(b,a)))),product(difference(product(c,b),product(b,a)),c)) )],[refute_0_12542,refute_0_12609]) ).

cnf(refute_0_12611,plain,
    product(a,product(c,a)) = bigC(a,a,c),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_12612,plain,
    difference(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = product(X_23,product(c,a)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(c,a))),bind(X_22,$fot(product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_12613,plain,
    product(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,c)),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_12614,plain,
    quotient(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(product(a,c),product(c,b),product(a,product(b,c))))),bind(B,$fot(bigC(product(a,b),product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_12615,plain,
    product(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(product(a,b),product(a,c)),
    inference(subst,[],[refute_0_2405:[bind(A,$fot(product(a,b))),bind(X_22,$fot(product(a,c)))]]) ).

cnf(refute_0_12616,plain,
    bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) = product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),
    inference(subst,[],[refute_0_94:[bind(X_23,$fot(product(product(a,b),product(a,c))))]]) ).

cnf(refute_0_12617,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) != product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c)))
    | product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))) = bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))))),bind(Y,$fot(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c)))))]]) ).

cnf(refute_0_12618,plain,
    product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))) = bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c)))) )],[refute_0_12616,refute_0_12617]) ).

cnf(refute_0_12619,plain,
    ( product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))) != bigC(product(a,c),product(c,b),product(product(a,b),product(a,c)))
    | product(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(product(a,b),product(a,c))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(product(a,b),product(a,c))) ),[0,0],$fot(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))))]]) ).

cnf(refute_0_12620,plain,
    ( product(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(product(a,b),product(a,c))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),bigC(product(a,c),product(c,b),product(product(a,b),product(a,c)))) )],[refute_0_12618,refute_0_12619]) ).

cnf(refute_0_12621,plain,
    product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(product(a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(product(a,b),product(a,c)),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(product(a,b),product(a,c))) )],[refute_0_12615,refute_0_12620]) ).

cnf(refute_0_12622,plain,
    bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) = bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))]]) ).

cnf(refute_0_12623,plain,
    ( bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) != bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) = bigC(product(a,b),product(a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12624,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) = bigC(product(a,b),product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) )],[refute_0_12622,refute_0_12623]) ).

cnf(refute_0_12625,plain,
    bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) = bigC(product(a,b),product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_12624]) ).

cnf(refute_0_12626,plain,
    product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))))]]) ).

cnf(refute_0_12627,plain,
    ( bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) != bigC(product(a,b),product(a,c),product(a,product(b,c)))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))) ),[1,1],$fot(bigC(product(a,b),product(a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_12628,plain,
    ( bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))) != bigC(product(a,b),product(a,c),product(a,product(b,c)))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))) )],[refute_0_12626,refute_0_12627]) ).

cnf(refute_0_12629,plain,
    product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) )],[refute_0_12625,refute_0_12628]) ).

cnf(refute_0_12630,plain,
    bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) = bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))))]]) ).

cnf(refute_0_12631,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) != bigC(product(a,c),product(c,b),product(product(a,b),product(a,c)))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) = bigC(product(a,c),product(c,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,c),product(c,b),product(product(a,b),product(a,c)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12632,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) = bigC(product(a,c),product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,c),product(c,b),product(product(a,b),product(a,c)))) )],[refute_0_12630,refute_0_12631]) ).

cnf(refute_0_12633,plain,
    bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) = bigC(product(a,c),product(c,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_12632]) ).

cnf(refute_0_12634,plain,
    product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))))]]) ).

cnf(refute_0_12635,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))) ),[1,0],$fot(bigC(product(a,c),product(c,b),product(a,product(b,c))))]]) ).

cnf(refute_0_12636,plain,
    ( bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))) )],[refute_0_12634,refute_0_12635]) ).

cnf(refute_0_12637,plain,
    product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) )],[refute_0_12633,refute_0_12636]) ).

cnf(refute_0_12638,plain,
    ( product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c))))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))))),bind(Y,$fot(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))))),bind(Z,$fot(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c))))))]]) ).

cnf(refute_0_12639,plain,
    ( product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c))))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c))))) )],[refute_0_12637,refute_0_12638]) ).

cnf(refute_0_12640,plain,
    product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) = product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c))))) )],[refute_0_12629,refute_0_12639]) ).

cnf(refute_0_12641,plain,
    ( product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c))))
    | product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(product(a,b),product(a,c))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(product(a,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(product(a,b),product(a,c))) ),[0],$fot(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_12642,plain,
    ( product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(product(a,b),product(a,c))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(product(a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c))))) )],[refute_0_12640,refute_0_12641]) ).

cnf(refute_0_12643,plain,
    ( product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != product(product(a,b),product(a,c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),product(a,product(b,c))) ),[0],$fot(product(product(a,b),product(a,c)))]]) ).

cnf(refute_0_12644,plain,
    ( product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != product(product(a,b),product(a,c))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_12643]) ).

cnf(refute_0_12645,plain,
    ( product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))) != product(product(a,b),product(a,c))
    | product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),product(product(a,b),product(a,c))) )],[refute_0_12642,refute_0_12644]) ).

cnf(refute_0_12646,plain,
    product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(product(a,b),product(a,c))),bigC(product(a,b),product(a,c),product(product(a,b),product(a,c)))),product(product(a,b),product(a,c))) )],[refute_0_12621,refute_0_12645]) ).

cnf(refute_0_12647,plain,
    ( product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != product(a,product(b,c))
    | quotient(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_12648,plain,
    ( quotient(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),product(a,product(b,c))) )],[refute_0_12646,refute_0_12647]) ).

cnf(refute_0_12649,plain,
    quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,c),product(c,b),product(a,product(b,c))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) )],[refute_0_12614,refute_0_12648]) ).

cnf(refute_0_12650,plain,
    product(bigC(a,a,a),bigC(b,c,product(b,c))) = product(bigC(a,a,a),bigC(b,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_12651,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),bigC(b,c,product(b,c))) != product(bigC(a,a,a),bigC(b,c,product(b,c)))
    | product(bigC(a,a,a),bigC(b,c,product(b,c))) = product(a,bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),bigC(b,c,product(b,c))),product(bigC(a,a,a),bigC(b,c,product(b,c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_12652,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),bigC(b,c,product(b,c))) = product(a,bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(b,c,product(b,c))),product(bigC(a,a,a),bigC(b,c,product(b,c)))) )],[refute_0_12650,refute_0_12651]) ).

cnf(refute_0_12653,plain,
    product(bigC(a,a,a),bigC(b,c,product(b,c))) = product(a,bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_2196,refute_0_12652]) ).

cnf(refute_0_12654,plain,
    product(product(a,product(a,product(b,c))),bigC(b,a,c)) = product(bigC(a,a,a),bigC(b,c,product(b,c))),
    inference(subst,[],[refute_0_7911:[bind(X_63,$fot(a)),bind(X_64,$fot(product(b,c)))]]) ).

cnf(refute_0_12655,plain,
    bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(product(a,product(a,product(b,c))),bigC(b,a,c)),
    inference(subst,[],[refute_0_153:[bind(X_45,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_12656,plain,
    ( bigC(product(a,b),product(a,c),product(a,product(b,c))) != product(product(a,product(a,product(b,c))),bigC(b,a,c))
    | product(product(a,product(a,product(b,c))),bigC(b,a,c)) != product(bigC(a,a,a),bigC(b,c,product(b,c)))
    | bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(bigC(a,a,a),bigC(b,c,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(a,c),product(a,product(b,c))))),bind(Y,$fot(product(product(a,product(a,product(b,c))),bigC(b,a,c)))),bind(Z,$fot(product(bigC(a,a,a),bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_12657,plain,
    ( product(product(a,product(a,product(b,c))),bigC(b,a,c)) != product(bigC(a,a,a),bigC(b,c,product(b,c)))
    | bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(bigC(a,a,a),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,product(b,c))),product(product(a,product(a,product(b,c))),bigC(b,a,c))) )],[refute_0_12655,refute_0_12656]) ).

cnf(refute_0_12658,plain,
    bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(bigC(a,a,a),bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),bigC(b,a,c)),product(bigC(a,a,a),bigC(b,c,product(b,c)))) )],[refute_0_12654,refute_0_12657]) ).

cnf(refute_0_12659,plain,
    ( bigC(product(a,b),product(a,c),product(a,product(b,c))) != product(bigC(a,a,a),bigC(b,c,product(b,c)))
    | product(bigC(a,a,a),bigC(b,c,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(a,bigC(b,c,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(a,c),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,a,a),bigC(b,c,product(b,c))))),bind(Z,$fot(product(a,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_12660,plain,
    ( product(bigC(a,a,a),bigC(b,c,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(a,bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,product(b,c))),product(bigC(a,a,a),bigC(b,c,product(b,c)))) )],[refute_0_12658,refute_0_12659]) ).

cnf(refute_0_12661,plain,
    bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(a,bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),bigC(b,c,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_12653,refute_0_12660]) ).

cnf(refute_0_12662,plain,
    quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))))]]) ).

cnf(refute_0_12663,plain,
    ( bigC(product(a,b),product(a,c),product(a,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c))))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c))))) ),[1,1],$fot(product(a,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_12664,plain,
    ( bigC(product(a,b),product(a,c),product(a,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c))))) )],[refute_0_12662,refute_0_12663]) ).

cnf(refute_0_12665,plain,
    quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_12661,refute_0_12664]) ).

cnf(refute_0_12666,plain,
    ( quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_12667,plain,
    ( quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c))))) )],[refute_0_12665,refute_0_12666]) ).

cnf(refute_0_12668,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = bigC(product(a,c),product(c,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) )],[refute_0_12649,refute_0_12667]) ).

cnf(refute_0_12669,plain,
    product(bigC(a,a,a),product(b,product(product(b,c),c))) = product(bigC(a,a,a),product(b,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,a),product(b,product(product(b,c),c))))]]) ).

cnf(refute_0_12670,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),product(b,product(product(b,c),c))) != product(bigC(a,a,a),product(b,product(product(b,c),c)))
    | product(bigC(a,a,a),product(b,product(product(b,c),c))) = product(a,product(b,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,a),product(b,product(product(b,c),c))),product(bigC(a,a,a),product(b,product(product(b,c),c)))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_12671,plain,
    ( bigC(a,a,a) != a
    | product(bigC(a,a,a),product(b,product(product(b,c),c))) = product(a,product(b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(b,product(product(b,c),c))),product(bigC(a,a,a),product(b,product(product(b,c),c)))) )],[refute_0_12669,refute_0_12670]) ).

cnf(refute_0_12672,plain,
    product(bigC(a,a,a),product(b,product(product(b,c),c))) = product(a,product(b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(bigC(a,a,a),a) )],[refute_0_2196,refute_0_12671]) ).

cnf(refute_0_12673,plain,
    bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(product(a,b),product(product(X_63,X_64),product(a,c))),
    inference(subst,[],[refute_0_94:[bind(X_23,$fot(product(X_63,X_64)))]]) ).

cnf(refute_0_12674,plain,
    product(product(X_63,X_64),product(a,c)) = product(product(X_63,a),product(X_64,c)),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(a)),bind(D,$fot(c))]]) ).

cnf(refute_0_12675,plain,
    ( bigC(product(a,c),product(c,b),product(X_63,X_64)) != product(product(a,b),product(product(X_63,X_64),product(a,c)))
    | product(product(X_63,X_64),product(a,c)) != product(product(X_63,a),product(X_64,c))
    | bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(product(a,b),product(product(X_63,a),product(X_64,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(X_63,X_64)),product(product(a,b),product(product(X_63,X_64),product(a,c)))) ),[1,1],$fot(product(product(X_63,a),product(X_64,c)))]]) ).

cnf(refute_0_12676,plain,
    ( bigC(product(a,c),product(c,b),product(X_63,X_64)) != product(product(a,b),product(product(X_63,X_64),product(a,c)))
    | bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(product(a,b),product(product(X_63,a),product(X_64,c))) ),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(a,c)),product(product(X_63,a),product(X_64,c))) )],[refute_0_12674,refute_0_12675]) ).

cnf(refute_0_12677,plain,
    bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(product(a,b),product(product(X_63,a),product(X_64,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(X_63,X_64)),product(product(a,b),product(product(X_63,X_64),product(a,c)))) )],[refute_0_12673,refute_0_12676]) ).

cnf(refute_0_12678,plain,
    product(product(a,b),product(product(X_63,a),product(X_64,c))) = product(bigC(a,a,X_63),product(b,product(X_64,c))),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(a)),bind(B,$fot(b)),bind(D,$fot(product(X_64,c))),bind(X_84,$fot(X_63))]]) ).

cnf(refute_0_12679,plain,
    ( bigC(product(a,c),product(c,b),product(X_63,X_64)) != product(product(a,b),product(product(X_63,a),product(X_64,c)))
    | product(product(a,b),product(product(X_63,a),product(X_64,c))) != product(bigC(a,a,X_63),product(b,product(X_64,c)))
    | bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(bigC(a,a,X_63),product(b,product(X_64,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),product(X_63,X_64)),product(bigC(a,a,X_63),product(b,product(X_64,c)))) ),[0],$fot(product(product(a,b),product(product(X_63,a),product(X_64,c))))]]) ).

cnf(refute_0_12680,plain,
    ( bigC(product(a,c),product(c,b),product(X_63,X_64)) != product(product(a,b),product(product(X_63,a),product(X_64,c)))
    | bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(bigC(a,a,X_63),product(b,product(X_64,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(X_63,a),product(X_64,c))),product(bigC(a,a,X_63),product(b,product(X_64,c)))) )],[refute_0_12678,refute_0_12679]) ).

cnf(refute_0_12681,plain,
    bigC(product(a,c),product(c,b),product(X_63,X_64)) = product(bigC(a,a,X_63),product(b,product(X_64,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(X_63,X_64)),product(product(a,b),product(product(X_63,a),product(X_64,c)))) )],[refute_0_12677,refute_0_12680]) ).

cnf(refute_0_12682,plain,
    bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,a,a),product(b,product(product(b,c),c))),
    inference(subst,[],[refute_0_12681:[bind(X_63,$fot(a)),bind(X_64,$fot(product(b,c)))]]) ).

cnf(refute_0_12683,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(bigC(a,a,a),product(b,product(product(b,c),c)))
    | product(bigC(a,a,a),product(b,product(product(b,c),c))) != product(a,product(b,product(product(b,c),c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(a,product(b,product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(c,b),product(a,product(b,c))))),bind(Y,$fot(product(bigC(a,a,a),product(b,product(product(b,c),c))))),bind(Z,$fot(product(a,product(b,product(product(b,c),c)))))]]) ).

cnf(refute_0_12684,plain,
    ( product(bigC(a,a,a),product(b,product(product(b,c),c))) != product(a,product(b,product(product(b,c),c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(a,product(b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(bigC(a,a,a),product(b,product(product(b,c),c)))) )],[refute_0_12682,refute_0_12683]) ).

cnf(refute_0_12685,plain,
    bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(a,product(b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,a),product(b,product(product(b,c),c))),product(a,product(b,product(product(b,c),c)))) )],[refute_0_12672,refute_0_12684]) ).

cnf(refute_0_12686,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(a,product(b,product(product(b,c),c)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = product(a,product(b,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) ),[1],$fot(product(a,product(b,product(product(b,c),c))))]]) ).

cnf(refute_0_12687,plain,
    ( quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = product(a,product(b,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(a,product(b,product(product(b,c),c)))) )],[refute_0_12685,refute_0_12686]) ).

cnf(refute_0_12688,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = product(a,product(b,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) )],[refute_0_12668,refute_0_12687]) ).

cnf(refute_0_12689,plain,
    product(b,product(product(b,c),c)) = product(b,product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(b,product(product(b,c),c)))]]) ).

cnf(refute_0_12690,plain,
    ( product(b,product(product(b,c),c)) != product(b,product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(b,product(product(b,c),c)) = product(b,product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(b,c),c)),product(b,product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_12691,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(b,product(product(b,c),c)) = product(b,product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,c),c)),product(b,product(product(b,c),c))) )],[refute_0_12689,refute_0_12690]) ).

cnf(refute_0_12692,plain,
    product(b,product(product(b,c),c)) = product(b,product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_12691]) ).

cnf(refute_0_12693,plain,
    product(a,product(b,product(product(b,c),c))) = product(a,product(b,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(a,product(b,product(product(b,c),c))))]]) ).

cnf(refute_0_12694,plain,
    ( product(a,product(b,product(product(b,c),c))) != product(a,product(b,product(product(b,c),c)))
    | product(b,product(product(b,c),c)) != product(b,product(b,product(a,c)))
    | product(a,product(b,product(product(b,c),c))) = product(a,product(b,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(b,product(product(b,c),c))),product(a,product(b,product(product(b,c),c)))) ),[1,1],$fot(product(b,product(b,product(a,c))))]]) ).

cnf(refute_0_12695,plain,
    ( product(b,product(product(b,c),c)) != product(b,product(b,product(a,c)))
    | product(a,product(b,product(product(b,c),c))) = product(a,product(b,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(product(b,c),c))),product(a,product(b,product(product(b,c),c)))) )],[refute_0_12693,refute_0_12694]) ).

cnf(refute_0_12696,plain,
    product(a,product(b,product(product(b,c),c))) = product(a,product(b,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,c),c)),product(b,product(b,product(a,c)))) )],[refute_0_12692,refute_0_12695]) ).

cnf(refute_0_12697,plain,
    ( product(a,product(b,product(product(b,c),c))) != product(a,product(b,product(b,product(a,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != product(a,product(b,product(product(b,c),c)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = product(a,product(b,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),product(a,product(b,product(product(b,c),c)))) ),[1],$fot(product(a,product(b,product(b,product(a,c)))))]]) ).

cnf(refute_0_12698,plain,
    ( quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != product(a,product(b,product(product(b,c),c)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = product(a,product(b,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(product(b,c),c))),product(a,product(b,product(b,product(a,c))))) )],[refute_0_12696,refute_0_12697]) ).

cnf(refute_0_12699,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = product(a,product(b,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),product(a,product(b,product(product(b,c),c)))) )],[refute_0_12688,refute_0_12698]) ).

cnf(refute_0_12700,plain,
    product(a,bigC(b,c,product(b,c))) = product(a,bigC(b,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_12701,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | product(a,bigC(b,c,product(b,c))) = product(a,bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,c,product(b,c)))) ),[1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_12702,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(a,bigC(b,c,product(b,c))) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_12700,refute_0_12701]) ).

cnf(refute_0_12703,plain,
    product(a,bigC(b,c,product(b,c))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_10045,refute_0_12702]) ).

cnf(refute_0_12704,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_12705,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c))))) ),[1,1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_12706,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c))))) )],[refute_0_12704,refute_0_12705]) ).

cnf(refute_0_12707,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) = quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_12703,refute_0_12706]) ).

cnf(refute_0_12708,plain,
    ( quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != product(a,product(b,product(b,product(a,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),product(a,product(b,product(b,product(a,c))))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_12709,plain,
    ( quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))) != product(a,product(b,product(b,product(a,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a))))) )],[refute_0_12707,refute_0_12708]) ).

cnf(refute_0_12710,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,c,product(b,c)))),product(a,product(b,product(b,product(a,c))))) )],[refute_0_12699,refute_0_12709]) ).

cnf(refute_0_12711,plain,
    product(c,product(bigC(a,a,c),b)) = bigC(c,product(a,c),quotient(product(bigC(a,a,c),b),product(a,b))),
    inference(subst,[],[refute_0_1349:[bind(A,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_12712,plain,
    quotient(bigC(product(a,b),product(a,b),product(c,b)),product(a,b)) = product(product(a,b),product(c,b)),
    inference(subst,[],[refute_0_738:[bind(X_79,$fot(product(a,b))),bind(X_80,$fot(product(c,b)))]]) ).

cnf(refute_0_12713,plain,
    bigC(product(a,b),X_42,quotient(product(product(c,a),b),product(a,b))) = product(product(product(a,b),X_42),product(product(c,a),b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(product(c,a),b))),bind(X_21,$fot(product(a,b))),bind(X_22,$fot(X_42))]]) ).

cnf(refute_0_12714,plain,
    ( bigC(product(a,b),X_42,quotient(product(product(c,a),b),product(a,b))) != product(product(product(a,b),X_42),product(product(c,a),b))
    | quotient(product(product(c,a),b),product(a,b)) != product(c,b)
    | bigC(product(a,b),X_42,product(c,b)) = product(product(product(a,b),X_42),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_42,quotient(product(product(c,a),b),product(a,b))),product(product(product(a,b),X_42),product(product(c,a),b))) ),[0,2],$fot(product(c,b))]]) ).

cnf(refute_0_12715,plain,
    ( bigC(product(a,b),X_42,quotient(product(product(c,a),b),product(a,b))) != product(product(product(a,b),X_42),product(product(c,a),b))
    | bigC(product(a,b),X_42,product(c,b)) = product(product(product(a,b),X_42),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),product(c,b)) )],[refute_0_7737,refute_0_12714]) ).

cnf(refute_0_12716,plain,
    bigC(product(a,b),X_42,product(c,b)) = product(product(product(a,b),X_42),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,quotient(product(product(c,a),b),product(a,b))),product(product(product(a,b),X_42),product(product(c,a),b))) )],[refute_0_12713,refute_0_12715]) ).

cnf(refute_0_12717,plain,
    product(product(product(a,b),X_42),product(product(c,a),b)) = product(bigC(a,b,c),product(X_42,b)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(c)),bind(X_65,$fot(X_42)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12718,plain,
    ( bigC(product(a,b),X_42,product(c,b)) != product(product(product(a,b),X_42),product(product(c,a),b))
    | product(product(product(a,b),X_42),product(product(c,a),b)) != product(bigC(a,b,c),product(X_42,b))
    | bigC(product(a,b),X_42,product(c,b)) = product(bigC(a,b,c),product(X_42,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_42,product(c,b)),product(bigC(a,b,c),product(X_42,b))) ),[0],$fot(product(product(product(a,b),X_42),product(product(c,a),b)))]]) ).

cnf(refute_0_12719,plain,
    ( bigC(product(a,b),X_42,product(c,b)) != product(product(product(a,b),X_42),product(product(c,a),b))
    | bigC(product(a,b),X_42,product(c,b)) = product(bigC(a,b,c),product(X_42,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_42),product(product(c,a),b)),product(bigC(a,b,c),product(X_42,b))) )],[refute_0_12717,refute_0_12718]) ).

cnf(refute_0_12720,plain,
    bigC(product(a,b),X_42,product(c,b)) = product(bigC(a,b,c),product(X_42,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(c,b)),product(product(product(a,b),X_42),product(product(c,a),b))) )],[refute_0_12716,refute_0_12719]) ).

cnf(refute_0_12721,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,product(c,b)))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_12722,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(product(product(a,b),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) ),[1,0,0],$fot(product(a,b))]]) ).

cnf(refute_0_12723,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(product(product(a,b),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,product(c,b))),product(a,b)) )],[refute_0_7820,refute_0_12722]) ).

cnf(refute_0_12724,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(product(product(a,b),X_22),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_12721,refute_0_12723]) ).

cnf(refute_0_12725,plain,
    bigC(product(a,b),X_22,product(c,b)) = product(bigC(a,b,c),product(X_22,b)),
    inference(subst,[],[refute_0_12720:[bind(X_42,$fot(X_22))]]) ).

cnf(refute_0_12726,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)))]]) ).

cnf(refute_0_12727,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b))
    | difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = bigC(product(a,b),X_22,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_12728,plain,
    ( difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = bigC(product(a,b),X_22,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b))) )],[refute_0_12726,refute_0_12727]) ).

cnf(refute_0_12729,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = bigC(product(a,b),X_22,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,product(c,b))),product(a,b)) )],[refute_0_7820,refute_0_12728]) ).

cnf(refute_0_12730,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != bigC(product(a,b),X_22,product(c,b))
    | bigC(product(a,b),X_22,product(c,b)) != product(bigC(a,b,c),product(X_22,b))
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(bigC(a,b,c),product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)))),bind(Y,$fot(bigC(product(a,b),X_22,product(c,b)))),bind(Z,$fot(product(bigC(a,b,c),product(X_22,b))))]]) ).

cnf(refute_0_12731,plain,
    ( bigC(product(a,b),X_22,product(c,b)) != product(bigC(a,b,c),product(X_22,b))
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(bigC(a,b,c),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),bigC(product(a,b),X_22,product(c,b))) )],[refute_0_12729,refute_0_12730]) ).

cnf(refute_0_12732,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) = product(bigC(a,b,c),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,product(c,b)),product(bigC(a,b,c),product(X_22,b))) )],[refute_0_12725,refute_0_12731]) ).

cnf(refute_0_12733,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(bigC(a,b,c),product(X_22,b))
    | bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(product(a,b),X_22),product(c,product(c,b)))
    | product(bigC(a,b,c),product(X_22,b)) = product(product(product(a,b),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(product(product(a,b),X_22),product(c,product(c,b)))) ),[0],$fot(product(bigC(a,b,c),product(X_22,b)))]]) ).

cnf(refute_0_12734,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(product(a,b),X_22),product(c,product(c,b)))
    | product(bigC(a,b,c),product(X_22,b)) = product(product(product(a,b),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(bigC(a,b,c),product(X_22,b))) )],[refute_0_12732,refute_0_12733]) ).

cnf(refute_0_12735,plain,
    product(product(c,X_22),product(c,b)) = product(c,product(X_22,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(X_22)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12736,plain,
    product(product(c,product(c,b)),product(X_22,product(c,b))) = product(product(c,X_22),product(c,b)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(X_22)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_12737,plain,
    ( product(product(c,X_22),product(c,b)) != product(c,product(X_22,b))
    | product(product(c,product(c,b)),product(X_22,product(c,b))) != product(product(c,X_22),product(c,b))
    | product(product(c,product(c,b)),product(X_22,product(c,b))) = product(c,product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(X_22,product(c,b))))),bind(Y,$fot(product(product(c,X_22),product(c,b)))),bind(Z,$fot(product(c,product(X_22,b))))]]) ).

cnf(refute_0_12738,plain,
    ( product(product(c,X_22),product(c,b)) != product(c,product(X_22,b))
    | product(product(c,product(c,b)),product(X_22,product(c,b))) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_22,product(c,b))),product(product(c,X_22),product(c,b))) )],[refute_0_12736,refute_0_12737]) ).

cnf(refute_0_12739,plain,
    product(product(c,product(c,b)),product(X_22,product(c,b))) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),product(c,b)),product(c,product(X_22,b))) )],[refute_0_12735,refute_0_12738]) ).

cnf(refute_0_12740,plain,
    product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(product(a,b),bigC(b,a,c)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_12741,plain,
    ( product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) != product(product(product(a,b),bigC(b,a,c)),product(B,D))
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(product(a,b),bigC(b,a,c)),product(B,D))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_12742,plain,
    ( product(product(product(a,b),B),product(bigC(b,a,c),D)) != product(product(product(a,b),bigC(b,a,c)),product(B,D))
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_12741]) ).

cnf(refute_0_12743,plain,
    product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(c,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(product(a,b),bigC(b,a,c)),product(B,D))) )],[refute_0_12740,refute_0_12742]) ).

cnf(refute_0_12744,plain,
    product(bigC(b,a,c),D) = product(bigC(b,a,c),D),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),D))]]) ).

cnf(refute_0_12745,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),D) != product(bigC(b,a,c),D)
    | product(bigC(b,a,c),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),D),product(bigC(b,a,c),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_12746,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),D),product(bigC(b,a,c),D)) )],[refute_0_12744,refute_0_12745]) ).

cnf(refute_0_12747,plain,
    product(bigC(b,a,c),D) = product(c,D),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_12746]) ).

cnf(refute_0_12748,plain,
    product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(product(a,b),B),product(bigC(b,a,c),D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),B),product(bigC(b,a,c),D)))]]) ).

cnf(refute_0_12749,plain,
    ( product(bigC(b,a,c),D) != product(c,D)
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) != product(product(product(a,b),B),product(bigC(b,a,c),D))
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(product(a,b),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(product(a,b),B),product(bigC(b,a,c),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_12750,plain,
    ( product(bigC(b,a,c),D) != product(c,D)
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(product(a,b),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(product(a,b),B),product(bigC(b,a,c),D))) )],[refute_0_12748,refute_0_12749]) ).

cnf(refute_0_12751,plain,
    product(product(product(a,b),B),product(bigC(b,a,c),D)) = product(product(product(a,b),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),D),product(c,D)) )],[refute_0_12747,refute_0_12750]) ).

cnf(refute_0_12752,plain,
    ( product(product(product(a,b),B),product(bigC(b,a,c),D)) != product(product(c,product(c,b)),product(B,D))
    | product(product(product(a,b),B),product(bigC(b,a,c),D)) != product(product(product(a,b),B),product(c,D))
    | product(product(product(a,b),B),product(c,D)) = product(product(c,product(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(c,product(c,b)),product(B,D))) ),[0],$fot(product(product(product(a,b),B),product(c,D)))]]) ).

cnf(refute_0_12753,plain,
    ( product(product(product(a,b),B),product(bigC(b,a,c),D)) != product(product(c,product(c,b)),product(B,D))
    | product(product(product(a,b),B),product(c,D)) = product(product(c,product(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(product(a,b),B),product(c,D))) )],[refute_0_12751,refute_0_12752]) ).

cnf(refute_0_12754,plain,
    product(product(product(a,b),B),product(c,D)) = product(product(c,product(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),B),product(bigC(b,a,c),D)),product(product(c,product(c,b)),product(B,D))) )],[refute_0_12743,refute_0_12753]) ).

cnf(refute_0_12755,plain,
    product(product(product(a,b),X_22),product(c,product(c,b))) = product(product(c,product(c,b)),product(X_22,product(c,b))),
    inference(subst,[],[refute_0_12754:[bind(B,$fot(X_22)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_12756,plain,
    ( product(product(c,product(c,b)),product(X_22,product(c,b))) != product(c,product(X_22,b))
    | product(product(product(a,b),X_22),product(c,product(c,b))) != product(product(c,product(c,b)),product(X_22,product(c,b)))
    | product(product(product(a,b),X_22),product(c,product(c,b))) = product(c,product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),X_22),product(c,product(c,b))))),bind(Y,$fot(product(product(c,product(c,b)),product(X_22,product(c,b))))),bind(Z,$fot(product(c,product(X_22,b))))]]) ).

cnf(refute_0_12757,plain,
    ( product(product(c,product(c,b)),product(X_22,product(c,b))) != product(c,product(X_22,b))
    | product(product(product(a,b),X_22),product(c,product(c,b))) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_22),product(c,product(c,b))),product(product(c,product(c,b)),product(X_22,product(c,b)))) )],[refute_0_12755,refute_0_12756]) ).

cnf(refute_0_12758,plain,
    product(product(product(a,b),X_22),product(c,product(c,b))) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_22,product(c,b))),product(c,product(X_22,b))) )],[refute_0_12739,refute_0_12757]) ).

cnf(refute_0_12759,plain,
    ( product(bigC(a,b,c),product(X_22,b)) != product(product(product(a,b),X_22),product(c,product(c,b)))
    | product(product(product(a,b),X_22),product(c,product(c,b))) != product(c,product(X_22,b))
    | product(bigC(a,b,c),product(X_22,b)) = product(c,product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,c),product(X_22,b)),product(c,product(X_22,b))) ),[0],$fot(product(product(product(a,b),X_22),product(c,product(c,b))))]]) ).

cnf(refute_0_12760,plain,
    ( product(bigC(a,b,c),product(X_22,b)) != product(product(product(a,b),X_22),product(c,product(c,b)))
    | product(bigC(a,b,c),product(X_22,b)) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_22),product(c,product(c,b))),product(c,product(X_22,b))) )],[refute_0_12758,refute_0_12759]) ).

cnf(refute_0_12761,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(product(a,b),X_22),product(c,product(c,b)))
    | product(bigC(a,b,c),product(X_22,b)) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(X_22,b)),product(product(product(a,b),X_22),product(c,product(c,b)))) )],[refute_0_12734,refute_0_12760]) ).

cnf(refute_0_12762,plain,
    product(bigC(a,b,c),product(X_22,b)) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(product(product(a,b),X_22),product(c,product(c,b)))) )],[refute_0_12724,refute_0_12761]) ).

cnf(refute_0_12763,plain,
    product(bigC(a,b,c),product(X_42,b)) = product(c,product(X_42,b)),
    inference(subst,[],[refute_0_12762:[bind(X_22,$fot(X_42))]]) ).

cnf(refute_0_12764,plain,
    ( bigC(product(a,b),X_42,product(c,b)) != product(bigC(a,b,c),product(X_42,b))
    | product(bigC(a,b,c),product(X_42,b)) != product(c,product(X_42,b))
    | bigC(product(a,b),X_42,product(c,b)) = product(c,product(X_42,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_42,product(c,b)),product(c,product(X_42,b))) ),[0],$fot(product(bigC(a,b,c),product(X_42,b)))]]) ).

cnf(refute_0_12765,plain,
    ( bigC(product(a,b),X_42,product(c,b)) != product(bigC(a,b,c),product(X_42,b))
    | bigC(product(a,b),X_42,product(c,b)) = product(c,product(X_42,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(X_42,b)),product(c,product(X_42,b))) )],[refute_0_12763,refute_0_12764]) ).

cnf(refute_0_12766,plain,
    bigC(product(a,b),X_42,product(c,b)) = product(c,product(X_42,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(c,b)),product(bigC(a,b,c),product(X_42,b))) )],[refute_0_12720,refute_0_12765]) ).

cnf(refute_0_12767,plain,
    bigC(product(a,b),product(a,b),product(c,b)) = product(c,product(product(a,b),b)),
    inference(subst,[],[refute_0_12766:[bind(X_42,$fot(product(a,b)))]]) ).

cnf(refute_0_12768,plain,
    ( bigC(product(a,b),product(a,b),product(c,b)) != product(c,product(product(a,b),b))
    | quotient(bigC(product(a,b),product(a,b),product(c,b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(c,product(product(a,b),b)),product(a,b)) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,b),product(a,b),product(c,b)),product(a,b)),product(product(a,b),product(c,b))) ),[0,0],$fot(product(c,product(product(a,b),b)))]]) ).

cnf(refute_0_12769,plain,
    ( quotient(bigC(product(a,b),product(a,b),product(c,b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(c,product(product(a,b),b)),product(a,b)) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(c,b)),product(c,product(product(a,b),b))) )],[refute_0_12767,refute_0_12768]) ).

cnf(refute_0_12770,plain,
    quotient(product(c,product(product(a,b),b)),product(a,b)) = product(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,b),product(a,b),product(c,b)),product(a,b)),product(product(a,b),product(c,b))) )],[refute_0_12712,refute_0_12769]) ).

cnf(refute_0_12771,plain,
    product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),
    inference(subst,[],[sos05:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(product(product(a,b),c))),bind(C,$fot(product(bigC(c,b,a),b))),bind(D,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_12772,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))) = product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,b),bigC(c,b,a)))),bind(X_16,$fot(product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_12773,plain,
    ( product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))) != product(c,b)
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) ),[0,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_12774,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))),product(c,b)) )],[refute_0_183,refute_0_12773]) ).

cnf(refute_0_12775,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(product(c,b),bigC(c,b,a))))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) )],[refute_0_12772,refute_0_12774]) ).

cnf(refute_0_12776,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_12777,plain,
    ( product(product(product(a,b),product(c,b)),product(c,b)) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) != quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b)))) ),[1,1],$fot(product(product(product(a,b),c),product(product(c,b),b)))]]) ).

cnf(refute_0_12778,plain,
    ( product(product(product(a,b),product(c,b)),product(c,b)) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b)))) )],[refute_0_12776,refute_0_12777]) ).

cnf(refute_0_12779,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) = quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_1400,refute_0_12778]) ).

cnf(refute_0_12780,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) != quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) ),[0],$fot(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))))]]) ).

cnf(refute_0_12781,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_12779,refute_0_12780]) ).

cnf(refute_0_12782,plain,
    product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(product(c,b),a))),bind(B,$fot(product(product(a,b),c))),bind(C,$fot(product(bigC(c,b,a),b))),bind(D,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_12783,plain,
    product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_12784,plain,
    ( product(product(product(a,b),product(c,b)),product(c,b)) != product(product(product(a,b),c),product(product(c,b),b))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b)))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b)))) ),[1,1],$fot(product(product(product(a,b),c),product(product(c,b),b)))]]) ).

cnf(refute_0_12785,plain,
    ( product(product(product(a,b),product(c,b)),product(c,b)) != product(product(product(a,b),c),product(product(c,b),b))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b)))) )],[refute_0_12783,refute_0_12784]) ).

cnf(refute_0_12786,plain,
    product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_1400,refute_0_12785]) ).

cnf(refute_0_12787,plain,
    product(product(product(c,b),bigC(c,b,a)),product(a,b)) = product(product(product(c,b),a),product(bigC(c,b,a),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(c,b))),bind(B,$fot(a)),bind(C,$fot(bigC(c,b,a))),bind(D,$fot(b))]]) ).

cnf(refute_0_12788,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_12789,plain,
    ( product(product(product(c,b),bigC(c,b,a)),product(a,b)) != product(product(product(c,b),a),product(bigC(c,b,a),b))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))) ),[1,0],$fot(product(product(product(c,b),a),product(bigC(c,b,a),b)))]]) ).

cnf(refute_0_12790,plain,
    ( product(product(product(c,b),bigC(c,b,a)),product(a,b)) != product(product(product(c,b),a),product(bigC(c,b,a),b))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))) )],[refute_0_12788,refute_0_12789]) ).

cnf(refute_0_12791,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(c,b),a),product(bigC(c,b,a),b))) )],[refute_0_12787,refute_0_12790]) ).

cnf(refute_0_12792,plain,
    ( product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))))),bind(Y,$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))))),bind(Z,$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))))]]) ).

cnf(refute_0_12793,plain,
    ( product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b)))) )],[refute_0_12791,refute_0_12792]) ).

cnf(refute_0_12794,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_12786,refute_0_12793]) ).

cnf(refute_0_12795,plain,
    ( product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))))),bind(Y,$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))))),bind(Z,$fot(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))))]]) ).

cnf(refute_0_12796,plain,
    ( product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_12794,refute_0_12795]) ).

cnf(refute_0_12797,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))) )],[refute_0_12782,refute_0_12796]) ).

cnf(refute_0_12798,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(product(c,b),bigC(c,b,a)))),bind(B,$fot(product(a,b))),bind(C,$fot(product(product(a,b),product(c,b)))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_12799,plain,
    ( product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))))),bind(Y,$fot(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))))),bind(Z,$fot(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))))]]) ).

cnf(refute_0_12800,plain,
    ( product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))) )],[refute_0_12798,refute_0_12799]) ).

cnf(refute_0_12801,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))) )],[refute_0_12797,refute_0_12800]) ).

cnf(refute_0_12802,plain,
    ( product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) ),[1],$fot(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))))]]) ).

cnf(refute_0_12803,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))) )],[refute_0_12801,refute_0_12802]) ).

cnf(refute_0_12804,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) )],[refute_0_12781,refute_0_12803]) ).

cnf(refute_0_12805,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) )],[refute_0_12775,refute_0_12804]) ).

cnf(refute_0_12806,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),
    inference(subst,[],[refute_0_555:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(bigC(c,b,a))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_12807,plain,
    ( product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))))),bind(Y,$fot(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))))),bind(Z,$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))))]]) ).

cnf(refute_0_12808,plain,
    ( product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b)))) )],[refute_0_12798,refute_0_12807]) ).

cnf(refute_0_12809,plain,
    product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(a,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12806,refute_0_12808]) ).

cnf(refute_0_12810,plain,
    ( product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) ),[1],$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_12811,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12809,refute_0_12810]) ).

cnf(refute_0_12812,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))) != product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) )],[refute_0_12781,refute_0_12811]) ).

cnf(refute_0_12813,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),product(c,b)),product(c,b))),product(product(product(product(c,b),bigC(c,b,a)),product(product(a,b),product(c,b))),product(product(a,b),product(c,b)))) )],[refute_0_12775,refute_0_12812]) ).

cnf(refute_0_12814,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))) ),[0],$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_12815,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12813,refute_0_12814]) ).

cnf(refute_0_12816,plain,
    product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))) )],[refute_0_12805,refute_0_12815]) ).

cnf(refute_0_12817,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))
    | product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))),bind(Y,$fot(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))))]]) ).

cnf(refute_0_12818,plain,
    product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b)))) )],[refute_0_12816,refute_0_12817]) ).

cnf(refute_0_12819,plain,
    ( product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) ),[0],$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_12820,plain,
    ( product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12818,refute_0_12819]) ).

cnf(refute_0_12821,plain,
    product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),b),product(product(c,b),b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_12771,refute_0_12820]) ).

cnf(refute_0_12822,plain,
    product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_12823,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b)))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_12824,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12822,refute_0_12823]) ).

cnf(refute_0_12825,plain,
    product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_12824]) ).

cnf(refute_0_12826,plain,
    bigC(product(c,b),product(a,b),bigC(c,b,a)) = bigC(product(c,b),product(a,b),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),product(a,b),bigC(c,b,a)))]]) ).

cnf(refute_0_12827,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(product(c,b),product(a,b),bigC(c,b,a)) != bigC(product(c,b),product(a,b),bigC(c,b,a))
    | bigC(product(c,b),product(a,b),bigC(c,b,a)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,b,a)),bigC(product(c,b),product(a,b),bigC(c,b,a))) ),[1,2],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_12828,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(product(c,b),product(a,b),bigC(c,b,a)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,b,a)),bigC(product(c,b),product(a,b),bigC(c,b,a))) )],[refute_0_12826,refute_0_12827]) ).

cnf(refute_0_12829,plain,
    bigC(product(c,b),product(a,b),bigC(c,b,a)) = bigC(product(c,b),product(a,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_12828]) ).

cnf(refute_0_12830,plain,
    bigC(product(c,b),bigC(c,b,a),product(a,b)) = bigC(product(c,b),product(a,b),bigC(c,b,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(c,b,a)))]]) ).

cnf(refute_0_12831,plain,
    ( bigC(product(c,b),bigC(c,b,a),product(a,b)) != bigC(product(c,b),product(a,b),bigC(c,b,a))
    | bigC(product(c,b),product(a,b),bigC(c,b,a)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | bigC(product(c,b),bigC(c,b,a),product(a,b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),bigC(c,b,a),product(a,b)))),bind(Y,$fot(bigC(product(c,b),product(a,b),bigC(c,b,a)))),bind(Z,$fot(bigC(product(c,b),product(a,b),bigC(c,a,b))))]]) ).

cnf(refute_0_12832,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,b,a)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | bigC(product(c,b),bigC(c,b,a),product(a,b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,b,a),product(a,b)),bigC(product(c,b),product(a,b),bigC(c,b,a))) )],[refute_0_12830,refute_0_12831]) ).

cnf(refute_0_12833,plain,
    bigC(product(c,b),bigC(c,b,a),product(a,b)) = bigC(product(c,b),product(a,b),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,b,a)),bigC(product(c,b),product(a,b),bigC(c,a,b))) )],[refute_0_12829,refute_0_12832]) ).

cnf(refute_0_12834,plain,
    product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_12835,plain,
    ( bigC(product(c,b),bigC(c,b,a),product(a,b)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) ),[1,0],$fot(bigC(product(c,b),product(a,b),bigC(c,a,b)))]]) ).

cnf(refute_0_12836,plain,
    ( bigC(product(c,b),bigC(c,b,a),product(a,b)) != bigC(product(c,b),product(a,b),bigC(c,a,b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12834,refute_0_12835]) ).

cnf(refute_0_12837,plain,
    product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(c,b,a),product(a,b)),bigC(product(c,b),product(a,b),bigC(c,a,b))) )],[refute_0_12833,refute_0_12836]) ).

cnf(refute_0_12838,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b)))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))),bind(Y,$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))))),bind(Z,$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))))]]) ).

cnf(refute_0_12839,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12837,refute_0_12838]) ).

cnf(refute_0_12840,plain,
    product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))) )],[refute_0_12825,refute_0_12839]) ).

cnf(refute_0_12841,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) ),[0],$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)))]]) ).

cnf(refute_0_12842,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))) )],[refute_0_12840,refute_0_12841]) ).

cnf(refute_0_12843,plain,
    product(product(product(a,b),b),product(c,b)) = product(product(product(a,b),c),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,b))),bind(X_64,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12844,plain,
    product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))))]]) ).

cnf(refute_0_12845,plain,
    ( product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b)))
    | product(product(product(a,b),b),product(c,b)) != product(product(product(a,b),c),b)
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b)))) ),[1,1],$fot(product(product(product(a,b),c),b))]]) ).

cnf(refute_0_12846,plain,
    ( product(product(product(a,b),b),product(c,b)) != product(product(product(a,b),c),b)
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b)))) )],[refute_0_12844,refute_0_12845]) ).

cnf(refute_0_12847,plain,
    product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),product(c,b)),product(product(product(a,b),c),b)) )],[refute_0_12843,refute_0_12846]) ).

cnf(refute_0_12848,plain,
    bigC(product(c,b),a,bigC(c,b,a)) = bigC(product(c,b),a,bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),a,bigC(c,b,a)))]]) ).

cnf(refute_0_12849,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(product(c,b),a,bigC(c,b,a)) != bigC(product(c,b),a,bigC(c,b,a))
    | bigC(product(c,b),a,bigC(c,b,a)) = bigC(product(c,b),a,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,bigC(c,b,a)),bigC(product(c,b),a,bigC(c,b,a))) ),[1,2],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_12850,plain,
    ( bigC(c,b,a) != bigC(c,a,b)
    | bigC(product(c,b),a,bigC(c,b,a)) = bigC(product(c,b),a,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(c,b,a)),bigC(product(c,b),a,bigC(c,b,a))) )],[refute_0_12848,refute_0_12849]) ).

cnf(refute_0_12851,plain,
    bigC(product(c,b),a,bigC(c,b,a)) = bigC(product(c,b),a,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_12850]) ).

cnf(refute_0_12852,plain,
    product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))))]]) ).

cnf(refute_0_12853,plain,
    ( bigC(product(c,b),a,bigC(c,b,a)) != bigC(product(c,b),a,bigC(c,a,b))
    | product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))
    | product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))) ),[1,0],$fot(bigC(product(c,b),a,bigC(c,a,b)))]]) ).

cnf(refute_0_12854,plain,
    ( bigC(product(c,b),a,bigC(c,b,a)) != bigC(product(c,b),a,bigC(c,a,b))
    | product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))) )],[refute_0_12852,refute_0_12853]) ).

cnf(refute_0_12855,plain,
    product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(c,b,a)),bigC(product(c,b),a,bigC(c,a,b))) )],[refute_0_12851,refute_0_12854]) ).

cnf(refute_0_12856,plain,
    ( product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b)))
    | product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))))),bind(Y,$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))))),bind(Z,$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))))]]) ).

cnf(refute_0_12857,plain,
    ( product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b)))) )],[refute_0_12855,refute_0_12856]) ).

cnf(refute_0_12858,plain,
    product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12847,refute_0_12857]) ).

cnf(refute_0_12859,plain,
    product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(bigC(product(c,b),a,bigC(c,b,a)))),bind(X_63,$fot(product(a,b))),bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12860,plain,
    product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b))),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(product(c,b))),bind(B,$fot(a)),bind(C,$fot(bigC(c,b,a))),bind(X_65,$fot(product(product(a,b),c))),bind(X_66,$fot(product(b,b)))]]) ).

cnf(refute_0_12861,plain,
    ( product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))
    | product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b)))
    | product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))))),bind(Y,$fot(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b))))),bind(Z,$fot(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))))]]) ).

cnf(refute_0_12862,plain,
    ( product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))
    | product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))),product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b)))) )],[refute_0_12860,refute_0_12861]) ).

cnf(refute_0_12863,plain,
    product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),c),product(b,b))),product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))) )],[refute_0_12859,refute_0_12862]) ).

cnf(refute_0_12864,plain,
    product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))),
    inference(subst,[],[refute_0_1192:[bind(A,$fot(product(product(c,b),a))),bind(C,$fot(product(product(a,b),c))),bind(X_63,$fot(bigC(c,b,a))),bind(X_64,$fot(b)),bind(X_65,$fot(product(c,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12865,plain,
    ( product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) != product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b)))
    | product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))))),bind(Y,$fot(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))))),bind(Z,$fot(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))))]]) ).

cnf(refute_0_12866,plain,
    ( product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b)))) )],[refute_0_12864,refute_0_12865]) ).

cnf(refute_0_12867,plain,
    product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,b),c)),product(product(bigC(c,b,a),product(c,b)),product(b,b))),product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))) )],[refute_0_12863,refute_0_12866]) ).

cnf(refute_0_12868,plain,
    ( product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))))),bind(Y,$fot(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))))),bind(Z,$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))))]]) ).

cnf(refute_0_12869,plain,
    ( product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b)))) )],[refute_0_12867,refute_0_12868]) ).

cnf(refute_0_12870,plain,
    product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,b,a)),product(product(product(a,b),b),product(c,b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12858,refute_0_12869]) ).

cnf(refute_0_12871,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) ),[0],$fot(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))))]]) ).

cnf(refute_0_12872,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12870,refute_0_12871]) ).

cnf(refute_0_12873,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_12842,refute_0_12872]) ).

cnf(refute_0_12874,plain,
    product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(product(product(product(c,b),a),product(bigC(c,b,a),b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_12821,refute_0_12873]) ).

cnf(refute_0_12875,plain,
    product(bigC(c,a,a),product(b,b)) = product(bigC(c,a,a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),product(b,b)))]]) ).

cnf(refute_0_12876,plain,
    ( product(b,b) != b
    | product(bigC(c,a,a),product(b,b)) != product(bigC(c,a,a),product(b,b))
    | product(bigC(c,a,a),product(b,b)) = product(bigC(c,a,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),product(b,b)),product(bigC(c,a,a),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_12877,plain,
    ( product(b,b) != b
    | product(bigC(c,a,a),product(b,b)) = product(bigC(c,a,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(b,b)),product(bigC(c,a,a),product(b,b))) )],[refute_0_12875,refute_0_12876]) ).

cnf(refute_0_12878,plain,
    product(bigC(c,a,a),product(b,b)) = product(bigC(c,a,a),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_12877]) ).

cnf(refute_0_12879,plain,
    product(product(product(c,a),b),product(product(a,c),b)) = product(bigC(c,a,a),product(b,b)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12880,plain,
    ( product(bigC(c,a,a),product(b,b)) != product(bigC(c,a,a),b)
    | product(product(product(c,a),b),product(product(a,c),b)) != product(bigC(c,a,a),product(b,b))
    | product(product(product(c,a),b),product(product(a,c),b)) = product(bigC(c,a,a),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,a,a),product(b,b)))),bind(Z,$fot(product(bigC(c,a,a),b)))]]) ).

cnf(refute_0_12881,plain,
    ( product(bigC(c,a,a),product(b,b)) != product(bigC(c,a,a),b)
    | product(product(product(c,a),b),product(product(a,c),b)) = product(bigC(c,a,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(a,c),b)),product(bigC(c,a,a),product(b,b))) )],[refute_0_12879,refute_0_12880]) ).

cnf(refute_0_12882,plain,
    product(product(product(c,a),b),product(product(a,c),b)) = product(bigC(c,a,a),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),product(b,b)),product(bigC(c,a,a),b)) )],[refute_0_12878,refute_0_12881]) ).

cnf(refute_0_12883,plain,
    bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(product(c,a),b),product(bigC(c,a,b),product(c,b))),
    inference(subst,[],[refute_0_7786:[bind(X_45,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_12884,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(product(c,a),b),product(bigC(c,a,b),product(c,b)))
    | product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(product(c,a),b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(product(c,a),b),product(bigC(c,a,b),product(c,b)))) ),[1,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_12885,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(product(c,a),b),product(bigC(c,a,b),product(c,b)))
    | bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(product(c,a),b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_12884]) ).

cnf(refute_0_12886,plain,
    bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(product(c,a),b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(product(c,a),b),product(bigC(c,a,b),product(c,b)))) )],[refute_0_12883,refute_0_12885]) ).

cnf(refute_0_12887,plain,
    product(product(product(c,a),b),product(product(c,a),b)) = product(product(c,a),product(b,b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(product(c,a))),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_12888,plain,
    ( product(product(c,a),product(b,b)) != product(product(c,a),b)
    | product(product(product(c,a),b),product(product(c,a),b)) != product(product(c,a),product(b,b))
    | product(product(product(c,a),b),product(product(c,a),b)) = product(product(c,a),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),product(product(c,a),b)))),bind(Y,$fot(product(product(c,a),product(b,b)))),bind(Z,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_12889,plain,
    ( product(product(c,a),product(b,b)) != product(product(c,a),b)
    | product(product(product(c,a),b),product(product(c,a),b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(c,a),b)),product(product(c,a),product(b,b))) )],[refute_0_12887,refute_0_12888]) ).

cnf(refute_0_12890,plain,
    product(product(product(c,a),b),product(product(c,a),b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,b)),product(product(c,a),b)) )],[refute_0_10657,refute_0_12889]) ).

cnf(refute_0_12891,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(product(c,a),b),product(product(c,a),b))
    | product(product(product(c,a),b),product(product(c,a),b)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(c,a),b)) ),[0],$fot(product(product(product(c,a),b),product(product(c,a),b)))]]) ).

cnf(refute_0_12892,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(product(c,a),b),product(product(c,a),b))
    | bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(c,a),b)),product(product(c,a),b)) )],[refute_0_12890,refute_0_12891]) ).

cnf(refute_0_12893,plain,
    bigC(product(c,b),product(a,b),bigC(c,a,b)) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(product(c,a),b),product(product(c,a),b))) )],[refute_0_12886,refute_0_12892]) ).

cnf(refute_0_12894,plain,
    product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)))]]) ).

cnf(refute_0_12895,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,a),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(product(product(c,a),b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))) ),[1,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_12896,plain,
    ( bigC(product(c,b),product(a,b),bigC(c,a,b)) != product(product(c,a),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(product(product(c,a),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))) )],[refute_0_12894,refute_0_12895]) ).

cnf(refute_0_12897,plain,
    product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(product(product(c,a),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(c,a),b)) )],[refute_0_12893,refute_0_12896]) ).

cnf(refute_0_12898,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(product(product(c,a),b),product(product(a,c),b))
    | product(product(product(c,a),b),product(product(a,c),b)) != product(bigC(c,a,a),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,a,a),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)))),bind(Y,$fot(product(product(product(c,a),b),product(product(a,c),b)))),bind(Z,$fot(product(bigC(c,a,a),b)))]]) ).

cnf(refute_0_12899,plain,
    ( product(product(product(c,a),b),product(product(a,c),b)) != product(bigC(c,a,a),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,a,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(product(product(c,a),b),product(product(a,c),b))) )],[refute_0_12897,refute_0_12898]) ).

cnf(refute_0_12900,plain,
    product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) = product(bigC(c,a,a),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(a,c),b)),product(bigC(c,a,a),b)) )],[refute_0_12882,refute_0_12899]) ).

cnf(refute_0_12901,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(c,a,a),b)
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(c,a,a),b) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) ),[0],$fot(product(bigC(c,a,a),b))]]) ).

cnf(refute_0_12902,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(c,a,a),b) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(c,a,a),b)) )],[refute_0_12900,refute_0_12901]) ).

cnf(refute_0_12903,plain,
    product(bigC(c,a,a),b) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12874,refute_0_12902]) ).

cnf(refute_0_12904,plain,
    bigC(product(c,b),a,bigC(c,a,b)) = bigC(product(c,b),a,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),a,bigC(c,a,b)))]]) ).

cnf(refute_0_12905,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),a,bigC(c,a,b)) != bigC(product(c,b),a,bigC(c,a,b))
    | bigC(product(c,b),a,bigC(c,a,b)) = bigC(product(c,b),a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),a,bigC(c,a,b)),bigC(product(c,b),a,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_12906,plain,
    ( bigC(c,a,b) != c
    | bigC(product(c,b),a,bigC(c,a,b)) = bigC(product(c,b),a,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(c,a,b)),bigC(product(c,b),a,bigC(c,a,b))) )],[refute_0_12904,refute_0_12905]) ).

cnf(refute_0_12907,plain,
    bigC(product(c,b),a,bigC(c,a,b)) = bigC(product(c,b),a,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_12906]) ).

cnf(refute_0_12908,plain,
    product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)))]]) ).

cnf(refute_0_12909,plain,
    ( bigC(product(c,b),a,bigC(c,a,b)) != bigC(product(c,b),a,c)
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) ),[1,0],$fot(bigC(product(c,b),a,c))]]) ).

cnf(refute_0_12910,plain,
    ( bigC(product(c,b),a,bigC(c,a,b)) != bigC(product(c,b),a,c)
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12908,refute_0_12909]) ).

cnf(refute_0_12911,plain,
    product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,bigC(c,a,b)),bigC(product(c,b),a,c)) )],[refute_0_12907,refute_0_12910]) ).

cnf(refute_0_12912,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) != product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))
    | product(bigC(c,a,a),b) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,a),b),product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))) ),[0],$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)))]]) ).

cnf(refute_0_12913,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(c,a,a),b) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))) )],[refute_0_12911,refute_0_12912]) ).

cnf(refute_0_12914,plain,
    product(bigC(c,a,a),b) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12903,refute_0_12913]) ).

cnf(refute_0_12915,plain,
    product(product(product(a,b),c),b) = product(product(product(a,b),c),b),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),b))]]) ).

cnf(refute_0_12916,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),b) != product(product(product(a,b),c),b)
    | product(product(product(a,b),c),b) = product(product(c,product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),b),product(product(product(a,b),c),b)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_12917,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),b) = product(product(c,product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),b),product(product(product(a,b),c),b)) )],[refute_0_12915,refute_0_12916]) ).

cnf(refute_0_12918,plain,
    product(product(product(a,b),c),b) = product(product(c,product(c,b)),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_12917]) ).

cnf(refute_0_12919,plain,
    product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)))]]) ).

cnf(refute_0_12920,plain,
    ( product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) != product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))
    | product(product(product(a,b),c),b) != product(product(c,product(c,b)),b)
    | product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)),product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))) ),[1,1],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_12921,plain,
    ( product(product(product(a,b),c),b) != product(product(c,product(c,b)),b)
    | product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)),product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))) )],[refute_0_12919,refute_0_12920]) ).

cnf(refute_0_12922,plain,
    product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),b),product(product(c,product(c,b)),b)) )],[refute_0_12918,refute_0_12921]) ).

cnf(refute_0_12923,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)) != product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))
    | product(bigC(c,a,a),b) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,a),b),product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))) ),[0],$fot(product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)))]]) ).

cnf(refute_0_12924,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))
    | product(bigC(c,a,a),b) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,c),product(product(product(a,b),c),b)),product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))) )],[refute_0_12922,refute_0_12923]) ).

cnf(refute_0_12925,plain,
    product(bigC(c,a,a),b) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(product(c,b),a,c),product(product(product(a,b),c),b))) )],[refute_0_12914,refute_0_12924]) ).

cnf(refute_0_12926,plain,
    product(bigC(a,a,b),product(difference(product(a,b),product(c,product(c,b))),c)) = product(product(c,product(c,b)),product(a,c)),
    inference(subst,[],[refute_0_4526:[bind(X_43,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_12927,plain,
    difference(product(a,b),product(product(a,b),bigC(b,a,c))) = bigC(b,a,c),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,b))),bind(B,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_12928,plain,
    ( difference(product(a,b),product(product(a,b),bigC(b,a,c))) != bigC(b,a,c)
    | product(product(a,b),bigC(b,a,c)) != product(c,product(c,b))
    | difference(product(a,b),product(c,product(c,b))) = bigC(b,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),bigC(b,a,c))),bigC(b,a,c)) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_12929,plain,
    ( difference(product(a,b),product(product(a,b),bigC(b,a,c))) != bigC(b,a,c)
    | difference(product(a,b),product(c,product(c,b))) = bigC(b,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,a,c)),product(c,product(c,b))) )],[refute_0_1166,refute_0_12928]) ).

cnf(refute_0_12930,plain,
    difference(product(a,b),product(c,product(c,b))) = bigC(b,a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),bigC(b,a,c))),bigC(b,a,c)) )],[refute_0_12927,refute_0_12929]) ).

cnf(refute_0_12931,plain,
    ( difference(product(a,b),product(c,product(c,b))) != bigC(b,a,c)
    | product(bigC(a,a,b),product(difference(product(a,b),product(c,product(c,b))),c)) != product(product(c,product(c,b)),product(a,c))
    | product(bigC(a,a,b),product(bigC(b,a,c),c)) = product(product(c,product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(c,product(c,b))),c)),product(product(c,product(c,b)),product(a,c))) ),[0,1,0],$fot(bigC(b,a,c))]]) ).

cnf(refute_0_12932,plain,
    ( product(bigC(a,a,b),product(difference(product(a,b),product(c,product(c,b))),c)) != product(product(c,product(c,b)),product(a,c))
    | product(bigC(a,a,b),product(bigC(b,a,c),c)) = product(product(c,product(c,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,product(c,b))),bigC(b,a,c)) )],[refute_0_12930,refute_0_12931]) ).

cnf(refute_0_12933,plain,
    product(bigC(a,a,b),product(bigC(b,a,c),c)) = product(product(c,product(c,b)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(difference(product(a,b),product(c,product(c,b))),c)),product(product(c,product(c,b)),product(a,c))) )],[refute_0_12926,refute_0_12932]) ).

cnf(refute_0_12934,plain,
    product(product(c,a),bigC(c,b,c)) = bigC(c,a,product(c,b)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(c)),bind(X_22,$fot(a)),bind(X_80,$fot(b))]]) ).

cnf(refute_0_12935,plain,
    product(product(c,product(c,b)),product(a,c)) = product(product(c,a),bigC(c,b,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(c)),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_12936,plain,
    ( product(product(c,a),bigC(c,b,c)) != bigC(c,a,product(c,b))
    | product(product(c,product(c,b)),product(a,c)) != product(product(c,a),bigC(c,b,c))
    | product(product(c,product(c,b)),product(a,c)) = bigC(c,a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(a,c)))),bind(Y,$fot(product(product(c,a),bigC(c,b,c)))),bind(Z,$fot(bigC(c,a,product(c,b))))]]) ).

cnf(refute_0_12937,plain,
    ( product(product(c,a),bigC(c,b,c)) != bigC(c,a,product(c,b))
    | product(product(c,product(c,b)),product(a,c)) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,c)),product(product(c,a),bigC(c,b,c))) )],[refute_0_12935,refute_0_12936]) ).

cnf(refute_0_12938,plain,
    product(product(c,product(c,b)),product(a,c)) = bigC(c,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,b,c)),bigC(c,a,product(c,b))) )],[refute_0_12934,refute_0_12937]) ).

cnf(refute_0_12939,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),c)) != product(product(c,product(c,b)),product(a,c))
    | product(product(c,product(c,b)),product(a,c)) != bigC(c,a,product(c,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),c)) = bigC(c,a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(bigC(b,a,c),c)),bigC(c,a,product(c,b))) ),[0],$fot(product(product(c,product(c,b)),product(a,c)))]]) ).

cnf(refute_0_12940,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),c)) != product(product(c,product(c,b)),product(a,c))
    | product(bigC(a,a,b),product(bigC(b,a,c),c)) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(a,c)),bigC(c,a,product(c,b))) )],[refute_0_12938,refute_0_12939]) ).

cnf(refute_0_12941,plain,
    product(bigC(a,a,b),product(bigC(b,a,c),c)) = bigC(c,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),c)),product(product(c,product(c,b)),product(a,c))) )],[refute_0_12933,refute_0_12940]) ).

cnf(refute_0_12942,plain,
    product(bigC(a,a,b),product(bigC(b,a,c),c)) = bigC(c,product(a,c),bigC(b,a,c)),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(bigC(b,a,c)))]]) ).

cnf(refute_0_12943,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),c)) != bigC(c,a,product(c,b))
    | product(bigC(a,a,b),product(bigC(b,a,c),c)) != bigC(c,product(a,c),bigC(b,a,c))
    | bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),c)),bigC(c,a,product(c,b))) ),[0],$fot(bigC(c,product(a,c),bigC(b,a,c)))]]) ).

cnf(refute_0_12944,plain,
    ( product(bigC(a,a,b),product(bigC(b,a,c),c)) != bigC(c,a,product(c,b))
    | bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),c)),bigC(c,product(a,c),bigC(b,a,c))) )],[refute_0_12942,refute_0_12943]) ).

cnf(refute_0_12945,plain,
    bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,a,c),c)),bigC(c,a,product(c,b))) )],[refute_0_12941,refute_0_12944]) ).

cnf(refute_0_12946,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),c) != product(bigC(c,c,a),c)
    | product(bigC(c,c,a),c) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(c,c,a),c)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_12947,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),c) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(c,c,a),c)) )],[refute_0_1597,refute_0_12946]) ).

cnf(refute_0_12948,plain,
    product(bigC(c,c,a),c) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_12947]) ).

cnf(refute_0_12949,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,c,a),c)
    | product(bigC(c,c,a),c) != product(bigC(a,a,b),c)
    | bigC(c,c,product(a,c)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,product(a,c)))),bind(Y,$fot(product(bigC(c,c,a),c))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_12950,plain,
    ( product(bigC(c,c,a),c) != product(bigC(a,a,b),c)
    | bigC(c,c,product(a,c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,c,a),c)) )],[refute_0_1612,refute_0_12949]) ).

cnf(refute_0_12951,plain,
    bigC(c,c,product(a,c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(a,a,b),c)) )],[refute_0_12948,refute_0_12950]) ).

cnf(refute_0_12952,plain,
    bigC(c,product(a,c),c) = bigC(c,c,product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_12953,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(a,a,b),c)
    | bigC(c,product(a,c),c) != bigC(c,c,product(a,c))
    | bigC(c,product(a,c),c) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,c),c))),bind(Y,$fot(bigC(c,c,product(a,c)))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_12954,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(a,a,b),c)
    | bigC(c,product(a,c),c) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),c),bigC(c,c,product(a,c))) )],[refute_0_12952,refute_0_12953]) ).

cnf(refute_0_12955,plain,
    bigC(c,product(a,c),c) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(a,a,b),c)) )],[refute_0_12951,refute_0_12954]) ).

cnf(refute_0_12956,plain,
    bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,product(a,c),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(bigC(c,product(a,c),bigC(b,a,c)))]]) ).

cnf(refute_0_12957,plain,
    ( bigC(b,a,c) != c
    | bigC(c,product(a,c),bigC(b,a,c)) != bigC(c,product(a,c),bigC(b,a,c))
    | bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,c),bigC(b,a,c)),bigC(c,product(a,c),bigC(b,a,c))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_12958,plain,
    ( bigC(b,a,c) != c
    | bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,product(a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,a,c)),bigC(c,product(a,c),bigC(b,a,c))) )],[refute_0_12956,refute_0_12957]) ).

cnf(refute_0_12959,plain,
    bigC(c,product(a,c),bigC(b,a,c)) = bigC(c,product(a,c),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_12958]) ).

cnf(refute_0_12960,plain,
    ( bigC(c,product(a,c),bigC(b,a,c)) != bigC(c,product(a,c),c)
    | bigC(c,product(a,c),c) != product(bigC(a,a,b),c)
    | bigC(c,product(a,c),bigC(b,a,c)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,c),bigC(b,a,c)))),bind(Y,$fot(bigC(c,product(a,c),c))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_12961,plain,
    ( bigC(c,product(a,c),c) != product(bigC(a,a,b),c)
    | bigC(c,product(a,c),bigC(b,a,c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,a,c)),bigC(c,product(a,c),c)) )],[refute_0_12959,refute_0_12960]) ).

cnf(refute_0_12962,plain,
    bigC(c,product(a,c),bigC(b,a,c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),c),product(bigC(a,a,b),c)) )],[refute_0_12955,refute_0_12961]) ).

cnf(refute_0_12963,plain,
    ( bigC(c,product(a,c),bigC(b,a,c)) != bigC(c,a,product(c,b))
    | bigC(c,product(a,c),bigC(b,a,c)) != product(bigC(a,a,b),c)
    | product(bigC(a,a,b),c) = bigC(c,a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,c),bigC(b,a,c)),bigC(c,a,product(c,b))) ),[0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_12964,plain,
    ( bigC(c,product(a,c),bigC(b,a,c)) != bigC(c,a,product(c,b))
    | product(bigC(a,a,b),c) = bigC(c,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,a,c)),product(bigC(a,a,b),c)) )],[refute_0_12962,refute_0_12963]) ).

cnf(refute_0_12965,plain,
    product(bigC(a,a,b),c) = bigC(c,a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,a,c)),bigC(c,a,product(c,b))) )],[refute_0_12945,refute_0_12964]) ).

cnf(refute_0_12966,plain,
    ( product(bigC(a,a,b),c) != bigC(c,a,product(c,b))
    | bigC(c,a,product(c,b)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,b),c))),bind(Y,$fot(bigC(c,a,product(c,b))))]]) ).

cnf(refute_0_12967,plain,
    bigC(c,a,product(c,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),bigC(c,a,product(c,b))) )],[refute_0_12965,refute_0_12966]) ).

cnf(refute_0_12968,plain,
    bigC(quotient(bigC(a,b,b),c),c,X_23) = product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(a,b,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_12969,plain,
    quotient(bigC(b,a,b),c) = quotient(bigC(b,a,b),c),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,a,b),c))]]) ).

cnf(refute_0_12970,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),c) != quotient(bigC(b,a,b),c)
    | quotient(bigC(b,a,b),c) = quotient(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),c),quotient(bigC(b,a,b),c)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_12971,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),c) = quotient(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),c),quotient(bigC(b,a,b),c)) )],[refute_0_12969,refute_0_12970]) ).

cnf(refute_0_12972,plain,
    quotient(bigC(b,a,b),c) = quotient(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_12971]) ).

cnf(refute_0_12973,plain,
    ( quotient(bigC(b,a,b),c) != product(c,b)
    | quotient(bigC(b,a,b),c) != quotient(bigC(a,b,b),c)
    | quotient(bigC(a,b,b),c) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),c),product(c,b)) ),[0],$fot(quotient(bigC(a,b,b),c))]]) ).

cnf(refute_0_12974,plain,
    ( quotient(bigC(b,a,b),c) != product(c,b)
    | quotient(bigC(a,b,b),c) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),c),quotient(bigC(a,b,b),c)) )],[refute_0_12972,refute_0_12973]) ).

cnf(refute_0_12975,plain,
    quotient(bigC(a,b,b),c) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),c),product(c,b)) )],[refute_0_7540,refute_0_12974]) ).

cnf(refute_0_12976,plain,
    ( bigC(quotient(bigC(a,b,b),c),c,X_23) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | quotient(bigC(a,b,b),c) != product(c,b)
    | bigC(product(c,b),c,X_23) = product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,b,b),c),c,X_23),product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_12977,plain,
    ( bigC(quotient(bigC(a,b,b),c),c,X_23) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | bigC(product(c,b),c,X_23) = product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),c),product(c,b)) )],[refute_0_12975,refute_0_12976]) ).

cnf(refute_0_12978,plain,
    bigC(product(c,b),c,X_23) = product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,b),c),c,X_23),product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))) )],[refute_0_12968,refute_0_12977]) ).

cnf(refute_0_12979,plain,
    ( bigC(product(c,b),c,X_23) != bigC(c,X_23,product(c,b))
    | bigC(product(c,b),c,X_23) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | bigC(c,X_23,product(c,b)) = product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),c,X_23),product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))) ),[0],$fot(bigC(c,X_23,product(c,b)))]]) ).

cnf(refute_0_12980,plain,
    ( bigC(product(c,b),c,X_23) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | bigC(c,X_23,product(c,b)) = product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,X_23),bigC(c,X_23,product(c,b))) )],[refute_0_9912,refute_0_12979]) ).

cnf(refute_0_12981,plain,
    bigC(quotient(bigC(a,b,b),c),X_23,c) = bigC(quotient(bigC(a,b,b),c),X_23,c),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,b,b),c),X_23,c))]]) ).

cnf(refute_0_12982,plain,
    ( bigC(quotient(bigC(a,b,b),c),X_23,c) != bigC(quotient(bigC(a,b,b),c),X_23,c)
    | quotient(bigC(a,b,b),c) != product(c,b)
    | bigC(quotient(bigC(a,b,b),c),X_23,c) = bigC(product(c,b),X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,b,b),c),X_23,c),bigC(quotient(bigC(a,b,b),c),X_23,c)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_12983,plain,
    ( quotient(bigC(a,b,b),c) != product(c,b)
    | bigC(quotient(bigC(a,b,b),c),X_23,c) = bigC(product(c,b),X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,b),c),X_23,c),bigC(quotient(bigC(a,b,b),c),X_23,c)) )],[refute_0_12981,refute_0_12982]) ).

cnf(refute_0_12984,plain,
    bigC(quotient(bigC(a,b,b),c),X_23,c) = bigC(product(c,b),X_23,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),c),product(c,b)) )],[refute_0_12975,refute_0_12983]) ).

cnf(refute_0_12985,plain,
    product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) = bigC(quotient(bigC(a,b,b),c),X_23,c),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(bigC(a,b,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_12986,plain,
    ( bigC(quotient(bigC(a,b,b),c),X_23,c) != bigC(product(c,b),X_23,c)
    | product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) != bigC(quotient(bigC(a,b,b),c),X_23,c)
    | product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) = bigC(product(c,b),X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))))),bind(Y,$fot(bigC(quotient(bigC(a,b,b),c),X_23,c))),bind(Z,$fot(bigC(product(c,b),X_23,c)))]]) ).

cnf(refute_0_12987,plain,
    ( bigC(quotient(bigC(a,b,b),c),X_23,c) != bigC(product(c,b),X_23,c)
    | product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) = bigC(product(c,b),X_23,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))),bigC(quotient(bigC(a,b,b),c),X_23,c)) )],[refute_0_12985,refute_0_12986]) ).

cnf(refute_0_12988,plain,
    product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) = bigC(product(c,b),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,b),c),X_23,c),bigC(product(c,b),X_23,c)) )],[refute_0_12984,refute_0_12987]) ).

cnf(refute_0_12989,plain,
    ( bigC(c,X_23,product(c,b)) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))) != bigC(product(c,b),X_23,c)
    | bigC(c,X_23,product(c,b)) = bigC(product(c,b),X_23,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_23,product(c,b)),bigC(product(c,b),X_23,c)) ),[0],$fot(product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))))]]) ).

cnf(refute_0_12990,plain,
    ( bigC(c,X_23,product(c,b)) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | bigC(c,X_23,product(c,b)) = bigC(product(c,b),X_23,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c))),bigC(product(c,b),X_23,c)) )],[refute_0_12988,refute_0_12989]) ).

cnf(refute_0_12991,plain,
    ( bigC(product(c,b),c,X_23) != product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))
    | bigC(c,X_23,product(c,b)) = bigC(product(c,b),X_23,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(c,b)),product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))) )],[refute_0_12980,refute_0_12990]) ).

cnf(refute_0_12992,plain,
    bigC(c,X_23,product(c,b)) = bigC(product(c,b),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),c,X_23),product(bigC(a,b,b),product(X_23,quotient(bigC(a,b,b),c)))) )],[refute_0_12978,refute_0_12991]) ).

cnf(refute_0_12993,plain,
    ( bigC(c,X_23,product(c,b)) != bigC(product(c,b),X_23,c)
    | bigC(product(c,b),X_23,c) = bigC(c,X_23,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,X_23,product(c,b)))),bind(Y,$fot(bigC(product(c,b),X_23,c)))]]) ).

cnf(refute_0_12994,plain,
    bigC(product(c,b),X_23,c) = bigC(c,X_23,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,product(c,b)),bigC(product(c,b),X_23,c)) )],[refute_0_12992,refute_0_12993]) ).

cnf(refute_0_12995,plain,
    bigC(product(c,b),a,c) = bigC(c,a,product(c,b)),
    inference(subst,[],[refute_0_12994:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_12996,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(a,a,b),c)
    | bigC(product(c,b),a,c) != bigC(c,a,product(c,b))
    | bigC(product(c,b),a,c) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),a,c))),bind(Y,$fot(bigC(c,a,product(c,b)))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_12997,plain,
    ( bigC(c,a,product(c,b)) != product(bigC(a,a,b),c)
    | bigC(product(c,b),a,c) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,c),bigC(c,a,product(c,b))) )],[refute_0_12995,refute_0_12996]) ).

cnf(refute_0_12998,plain,
    bigC(product(c,b),a,c) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,b)),product(bigC(a,a,b),c)) )],[refute_0_12967,refute_0_12997]) ).

cnf(refute_0_12999,plain,
    product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) = product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_13000,plain,
    ( bigC(product(c,b),a,c) != product(bigC(a,a,b),c)
    | product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) != product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))
    | product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)),product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_13001,plain,
    ( bigC(product(c,b),a,c) != product(bigC(a,a,b),c)
    | product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)),product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))) )],[refute_0_12999,refute_0_13000]) ).

cnf(refute_0_13002,plain,
    product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),a,c),product(bigC(a,a,b),c)) )],[refute_0_12998,refute_0_13001]) ).

cnf(refute_0_13003,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))
    | product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)) != product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))
    | product(bigC(c,a,a),b) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(c,a,a),b),product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))) ),[0],$fot(product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_13004,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))
    | product(bigC(c,a,a),b) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b)),product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))) )],[refute_0_13002,refute_0_13003]) ).

cnf(refute_0_13005,plain,
    product(bigC(c,a,a),b) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(product(c,b),a,c),product(product(c,product(c,b)),b))) )],[refute_0_12925,refute_0_13004]) ).

cnf(refute_0_13006,plain,
    product(bigC(c,a,a),b) = product(bigC(c,a,a),b),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,a),b))]]) ).

cnf(refute_0_13007,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),b) != product(bigC(c,a,a),b)
    | product(bigC(c,a,a),b) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(c,a,a),b)) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_13008,plain,
    ( bigC(c,a,a) != bigC(a,a,c)
    | product(bigC(c,a,a),b) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(c,a,a),b)) )],[refute_0_13006,refute_0_13007]) ).

cnf(refute_0_13009,plain,
    product(bigC(c,a,a),b) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(bigC(c,a,a),bigC(a,a,c)) )],[refute_0_8213,refute_0_13008]) ).

cnf(refute_0_13010,plain,
    ( product(bigC(c,a,a),b) != product(bigC(a,a,c),b)
    | product(bigC(c,a,a),b) != product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))
    | product(bigC(a,a,c),b) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,a),b),product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))) ),[0],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_13011,plain,
    ( product(bigC(c,a,a),b) != product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))
    | product(bigC(a,a,c),b) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(a,a,c),b)) )],[refute_0_13009,refute_0_13010]) ).

cnf(refute_0_13012,plain,
    product(bigC(a,a,c),b) = product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))) )],[refute_0_13005,refute_0_13011]) ).

cnf(refute_0_13013,plain,
    product(product(c,c),product(product(a,b),b)) = product(product(c,c),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(a,b),b)))]]) ).

cnf(refute_0_13014,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(a,b),b)) != product(product(c,c),product(product(a,b),b))
    | product(product(c,c),product(product(a,b),b)) = product(c,product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(a,b),b)),product(product(c,c),product(product(a,b),b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_13015,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(a,b),b)) = product(c,product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),b)),product(product(c,c),product(product(a,b),b))) )],[refute_0_13013,refute_0_13014]) ).

cnf(refute_0_13016,plain,
    product(product(c,c),product(product(a,b),b)) = product(c,product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_13015]) ).

cnf(refute_0_13017,plain,
    product(product(a,product(b,c)),product(c,b)) = product(product(c,c),product(product(a,b),b)),
    inference(subst,[],[refute_0_7267:[bind(B,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_13018,plain,
    product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)) = product(product(bigC(a,a,b),product(c,product(c,b))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_13019,plain,
    ( product(bigC(a,a,b),product(c,product(c,b))) != product(a,product(b,c))
    | product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)) != product(product(bigC(a,a,b),product(c,product(c,b))),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)),product(product(bigC(a,a,b),product(c,product(c,b))),product(B,D))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13020,plain,
    ( product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)) != product(product(bigC(a,a,b),product(c,product(c,b))),product(B,D))
    | product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,product(c,b))),product(a,product(b,c))) )],[refute_0_6794,refute_0_13019]) ).

cnf(refute_0_13021,plain,
    product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(product(c,product(c,b)),D)),product(product(bigC(a,a,b),product(c,product(c,b))),product(B,D))) )],[refute_0_13018,refute_0_13020]) ).

cnf(refute_0_13022,plain,
    product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(product(a,product(b,c)),product(c,b)),
    inference(subst,[],[refute_0_13021:[bind(B,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_13023,plain,
    ( product(product(a,product(b,c)),product(c,b)) != product(product(c,c),product(product(a,b),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) != product(product(a,product(b,c)),product(c,b))
    | product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(product(c,c),product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)))),bind(Y,$fot(product(product(a,product(b,c)),product(c,b)))),bind(Z,$fot(product(product(c,c),product(product(a,b),b))))]]) ).

cnf(refute_0_13024,plain,
    ( product(product(a,product(b,c)),product(c,b)) != product(product(c,c),product(product(a,b),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(product(c,c),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)),product(product(a,product(b,c)),product(c,b))) )],[refute_0_13022,refute_0_13023]) ).

cnf(refute_0_13025,plain,
    product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(product(c,c),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(c,b)),product(product(c,c),product(product(a,b),b))) )],[refute_0_13017,refute_0_13024]) ).

cnf(refute_0_13026,plain,
    ( product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) != product(product(c,c),product(product(a,b),b))
    | product(product(c,c),product(product(a,b),b)) != product(c,product(product(a,b),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(c,product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)))),bind(Y,$fot(product(product(c,c),product(product(a,b),b)))),bind(Z,$fot(product(c,product(product(a,b),b))))]]) ).

cnf(refute_0_13027,plain,
    ( product(product(c,c),product(product(a,b),b)) != product(c,product(product(a,b),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(c,product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)),product(product(c,c),product(product(a,b),b))) )],[refute_0_13025,refute_0_13026]) ).

cnf(refute_0_13028,plain,
    product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) = product(c,product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(a,b),b)),product(c,product(product(a,b),b))) )],[refute_0_13016,refute_0_13027]) ).

cnf(refute_0_13029,plain,
    ( product(bigC(a,a,c),b) != product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))
    | product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)) != product(c,product(product(a,b),b))
    | product(bigC(a,a,c),b) = product(c,product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),b),product(c,product(product(a,b),b))) ),[0],$fot(product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)))]]) ).

cnf(refute_0_13030,plain,
    ( product(bigC(a,a,c),b) != product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))
    | product(bigC(a,a,c),b) = product(c,product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b)),product(c,product(product(a,b),b))) )],[refute_0_13028,refute_0_13029]) ).

cnf(refute_0_13031,plain,
    product(bigC(a,a,c),b) = product(c,product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),b),product(product(bigC(a,a,b),c),product(product(c,product(c,b)),b))) )],[refute_0_13012,refute_0_13030]) ).

cnf(refute_0_13032,plain,
    ( product(bigC(a,a,c),b) != product(c,product(product(a,b),b))
    | product(c,product(product(a,b),b)) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,c),b))),bind(Y,$fot(product(c,product(product(a,b),b))))]]) ).

cnf(refute_0_13033,plain,
    product(c,product(product(a,b),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),b),product(c,product(product(a,b),b))) )],[refute_0_13031,refute_0_13032]) ).

cnf(refute_0_13034,plain,
    quotient(product(c,product(product(a,b),b)),product(a,b)) = quotient(product(c,product(product(a,b),b)),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(product(a,b),b)),product(a,b)))]]) ).

cnf(refute_0_13035,plain,
    ( product(c,product(product(a,b),b)) != product(bigC(a,a,c),b)
    | quotient(product(c,product(product(a,b),b)),product(a,b)) != quotient(product(c,product(product(a,b),b)),product(a,b))
    | quotient(product(c,product(product(a,b),b)),product(a,b)) = quotient(product(bigC(a,a,c),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,b),b)),product(a,b)),quotient(product(c,product(product(a,b),b)),product(a,b))) ),[1,0],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_13036,plain,
    ( product(c,product(product(a,b),b)) != product(bigC(a,a,c),b)
    | quotient(product(c,product(product(a,b),b)),product(a,b)) = quotient(product(bigC(a,a,c),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,b),b)),product(a,b)),quotient(product(c,product(product(a,b),b)),product(a,b))) )],[refute_0_13034,refute_0_13035]) ).

cnf(refute_0_13037,plain,
    quotient(product(c,product(product(a,b),b)),product(a,b)) = quotient(product(bigC(a,a,c),b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),b)),product(bigC(a,a,c),b)) )],[refute_0_13033,refute_0_13036]) ).

cnf(refute_0_13038,plain,
    ( quotient(product(c,product(product(a,b),b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(c,product(product(a,b),b)),product(a,b)) != quotient(product(bigC(a,a,c),b),product(a,b))
    | quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,b),b)),product(a,b)),product(product(a,b),product(c,b))) ),[0],$fot(quotient(product(bigC(a,a,c),b),product(a,b)))]]) ).

cnf(refute_0_13039,plain,
    ( quotient(product(c,product(product(a,b),b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,b),b)),product(a,b)),quotient(product(bigC(a,a,c),b),product(a,b))) )],[refute_0_13037,refute_0_13038]) ).

cnf(refute_0_13040,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(bigC(a,a,c),b),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),b),product(a,b)),product(product(a,b),product(c,b))) ),[1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_13041,plain,
    ( quotient(product(bigC(a,a,c),b),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_13040]) ).

cnf(refute_0_13042,plain,
    ( quotient(product(c,product(product(a,b),b)),product(a,b)) != product(product(a,b),product(c,b))
    | quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),b),product(a,b)),product(product(a,b),product(c,b))) )],[refute_0_13039,refute_0_13041]) ).

cnf(refute_0_13043,plain,
    quotient(product(bigC(a,a,c),b),product(a,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,b),b)),product(a,b)),product(product(a,b),product(c,b))) )],[refute_0_12770,refute_0_13042]) ).

cnf(refute_0_13044,plain,
    ( product(c,product(bigC(a,a,c),b)) != bigC(c,product(a,c),quotient(product(bigC(a,a,c),b),product(a,b)))
    | quotient(product(bigC(a,a,c),b),product(a,b)) != product(product(a,c),b)
    | product(c,product(bigC(a,a,c),b)) = bigC(c,product(a,c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(a,a,c),b)),bigC(c,product(a,c),quotient(product(bigC(a,a,c),b),product(a,b)))) ),[1,2],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_13045,plain,
    ( product(c,product(bigC(a,a,c),b)) != bigC(c,product(a,c),quotient(product(bigC(a,a,c),b),product(a,b)))
    | product(c,product(bigC(a,a,c),b)) = bigC(c,product(a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),b),product(a,b)),product(product(a,c),b)) )],[refute_0_13043,refute_0_13044]) ).

cnf(refute_0_13046,plain,
    product(c,product(bigC(a,a,c),b)) = bigC(c,product(a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,c),b)),bigC(c,product(a,c),quotient(product(bigC(a,a,c),b),product(a,b)))) )],[refute_0_12711,refute_0_13045]) ).

cnf(refute_0_13047,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))) = product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(a,b))),bind(X_16,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13048,plain,
    bigC(product(a,b),product(a,c),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b))),
    inference(subst,[],[refute_0_127:[bind(X_45,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_13049,plain,
    ( bigC(product(a,b),product(a,c),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b))) = bigC(product(a,b),product(a,c),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,b),product(a,c),product(a,product(b,c))))),bind(Y,$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))))]]) ).

cnf(refute_0_13050,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b))) = bigC(product(a,b),product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))) )],[refute_0_13048,refute_0_13049]) ).

cnf(refute_0_13051,plain,
    ( product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b))) != bigC(product(a,b),product(a,c),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))),product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))) ),[0,1],$fot(bigC(product(a,b),product(a,c),product(a,product(b,c))))]]) ).

cnf(refute_0_13052,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b))),bigC(product(a,b),product(a,c),product(a,product(b,c)))) )],[refute_0_13050,refute_0_13051]) ).

cnf(refute_0_13053,plain,
    quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) = product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(product(a,product(b,c)),product(a,b)))),product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_13047,refute_0_13052]) ).

cnf(refute_0_13054,plain,
    ( quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != bigC(product(a,c),product(c,b),product(a,product(b,c)))
    | quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))) ),[0],$fot(bigC(product(a,c),product(c,b),product(a,product(b,c))))]]) ).

cnf(refute_0_13055,plain,
    ( quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),bigC(product(a,c),product(c,b),product(a,product(b,c)))) )],[refute_0_12649,refute_0_13054]) ).

cnf(refute_0_13056,plain,
    product(product(a,product(b,c)),product(b,c)) = product(product(a,b),product(product(b,c),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(b,c))),bind(D,$fot(c))]]) ).

cnf(refute_0_13057,plain,
    product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_13058,plain,
    ( product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) != product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c)))
    | product(product(a,product(b,c)),product(b,c)) != product(product(a,b),product(product(b,c),c))
    | product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))),product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c)))) ),[1,1],$fot(product(product(a,b),product(product(b,c),c)))]]) ).

cnf(refute_0_13059,plain,
    ( product(product(a,product(b,c)),product(b,c)) != product(product(a,b),product(product(b,c),c))
    | product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))),product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c)))) )],[refute_0_13057,refute_0_13058]) ).

cnf(refute_0_13060,plain,
    product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(b,c)),product(product(a,b),product(product(b,c),c))) )],[refute_0_13056,refute_0_13059]) ).

cnf(refute_0_13061,plain,
    product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_13062,plain,
    ( product(product(a,b),a) != bigC(a,b,a)
    | product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) != product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c)))
    | product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))),product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c)))) ),[1,0],$fot(bigC(a,b,a))]]) ).

cnf(refute_0_13063,plain,
    ( product(product(a,b),a) != bigC(a,b,a)
    | product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))),product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c)))) )],[refute_0_13061,refute_0_13062]) ).

cnf(refute_0_13064,plain,
    product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,b,a)) )],[refute_0_835,refute_0_13063]) ).

cnf(refute_0_13065,plain,
    ( product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) != product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c)))
    | product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))))),bind(Y,$fot(product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))))),bind(Z,$fot(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))))]]) ).

cnf(refute_0_13066,plain,
    ( product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))),product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c)))) )],[refute_0_13064,refute_0_13065]) ).

cnf(refute_0_13067,plain,
    product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,product(b,c)),product(b,c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13060,refute_0_13066]) ).

cnf(refute_0_13068,plain,
    product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) = product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,b))),bind(B,$fot(a)),bind(C,$fot(product(a,product(b,c)))),bind(D,$fot(product(b,c)))]]) ).

cnf(refute_0_13069,plain,
    ( product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) != product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c)))
    | product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))))),bind(Z,$fot(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))))]]) ).

cnf(refute_0_13070,plain,
    ( product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))),product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c)))) )],[refute_0_13068,refute_0_13069]) ).

cnf(refute_0_13071,plain,
    product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,product(b,c)),product(b,c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13067,refute_0_13070]) ).

cnf(refute_0_13072,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) ),[0],$fot(product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_13073,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13071,refute_0_13072]) ).

cnf(refute_0_13074,plain,
    ( quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))) != product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_13055,refute_0_13073]) ).

cnf(refute_0_13075,plain,
    bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),bigC(product(a,b),product(a,c),product(a,product(b,c)))),product(product(product(a,b),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_13053,refute_0_13074]) ).

cnf(refute_0_13076,plain,
    product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) = product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))))]]) ).

cnf(refute_0_13077,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_13078,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13076,refute_0_13077]) ).

cnf(refute_0_13079,plain,
    product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_13078]) ).

cnf(refute_0_13080,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) ),[0],$fot(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))))]]) ).

cnf(refute_0_13081,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,b),product(product(b,c),c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13079,refute_0_13080]) ).

cnf(refute_0_13082,plain,
    bigC(product(a,c),product(c,b),product(a,product(b,c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(bigC(a,b,a),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13075,refute_0_13081]) ).

cnf(refute_0_13083,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(a,product(b,product(product(b,c),c)))
    | bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(a,product(b,product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) ),[0],$fot(product(a,product(b,product(product(b,c),c))))]]) ).

cnf(refute_0_13084,plain,
    ( bigC(product(a,c),product(c,b),product(a,product(b,c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(a,product(b,product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(a,product(b,product(product(b,c),c)))) )],[refute_0_12685,refute_0_13083]) ).

cnf(refute_0_13085,plain,
    product(a,product(b,product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(a,product(b,c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13082,refute_0_13084]) ).

cnf(refute_0_13086,plain,
    ( product(a,product(b,product(product(b,c),c))) != product(a,product(b,product(b,product(a,c))))
    | product(a,product(b,product(product(b,c),c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(a,product(b,product(b,product(a,c)))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(b,product(product(b,c),c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) ),[0],$fot(product(a,product(b,product(b,product(a,c)))))]]) ).

cnf(refute_0_13087,plain,
    ( product(a,product(b,product(product(b,c),c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(a,product(b,product(b,product(a,c)))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(product(b,c),c))),product(a,product(b,product(b,product(a,c))))) )],[refute_0_12696,refute_0_13086]) ).

cnf(refute_0_13088,plain,
    bigC(product(a,c),product(c,b),b) = bigC(product(a,c),b,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_13089,plain,
    ( bigC(product(a,c),product(c,b),X_23) != product(product(a,X_23),product(b,product(a,c)))
    | product(product(a,X_23),product(b,product(a,c))) = bigC(product(a,c),product(c,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(c,b),X_23))),bind(Y,$fot(product(product(a,X_23),product(b,product(a,c)))))]]) ).

cnf(refute_0_13090,plain,
    product(product(a,X_23),product(b,product(a,c))) = bigC(product(a,c),product(c,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_23),product(product(a,X_23),product(b,product(a,c)))) )],[refute_0_2709,refute_0_13089]) ).

cnf(refute_0_13091,plain,
    product(product(a,b),product(b,product(a,c))) = bigC(product(a,c),product(c,b),b),
    inference(subst,[],[refute_0_13090:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_13092,plain,
    ( bigC(product(a,c),product(c,b),b) != bigC(product(a,c),b,product(c,b))
    | product(product(a,b),product(b,product(a,c))) != bigC(product(a,c),product(c,b),b)
    | product(product(a,b),product(b,product(a,c))) = bigC(product(a,c),b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(b,product(a,c))))),bind(Y,$fot(bigC(product(a,c),product(c,b),b))),bind(Z,$fot(bigC(product(a,c),b,product(c,b))))]]) ).

cnf(refute_0_13093,plain,
    ( bigC(product(a,c),product(c,b),b) != bigC(product(a,c),b,product(c,b))
    | product(product(a,b),product(b,product(a,c))) = bigC(product(a,c),b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,product(a,c))),bigC(product(a,c),product(c,b),b)) )],[refute_0_13091,refute_0_13092]) ).

cnf(refute_0_13094,plain,
    product(product(a,b),product(b,product(a,c))) = bigC(product(a,c),b,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),b),bigC(product(a,c),b,product(c,b))) )],[refute_0_13088,refute_0_13093]) ).

cnf(refute_0_13095,plain,
    product(product(a,b),product(product(b,c),c)) = product(product(a,b),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(b,c),c)))]]) ).

cnf(refute_0_13096,plain,
    ( product(product(a,b),product(product(b,c),c)) != product(product(a,b),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(product(a,b),product(product(b,c),c)) = product(product(a,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(b,c),c)),product(product(a,b),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_13097,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(a,b),product(product(b,c),c)) = product(product(a,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(b,c),c)),product(product(a,b),product(product(b,c),c))) )],[refute_0_13095,refute_0_13096]) ).

cnf(refute_0_13098,plain,
    product(product(a,b),product(product(b,c),c)) = product(product(a,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_13097]) ).

cnf(refute_0_13099,plain,
    ( product(product(a,b),product(b,product(a,c))) != bigC(product(a,c),b,product(c,b))
    | product(product(a,b),product(product(b,c),c)) != product(product(a,b),product(b,product(a,c)))
    | product(product(a,b),product(product(b,c),c)) = bigC(product(a,c),b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(product(b,c),c)))),bind(Y,$fot(product(product(a,b),product(b,product(a,c))))),bind(Z,$fot(bigC(product(a,c),b,product(c,b))))]]) ).

cnf(refute_0_13100,plain,
    ( product(product(a,b),product(b,product(a,c))) != bigC(product(a,c),b,product(c,b))
    | product(product(a,b),product(product(b,c),c)) = bigC(product(a,c),b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(b,c),c)),product(product(a,b),product(b,product(a,c)))) )],[refute_0_13098,refute_0_13099]) ).

cnf(refute_0_13101,plain,
    product(product(a,b),product(product(b,c),c)) = bigC(product(a,c),b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,product(a,c))),bigC(product(a,c),b,product(c,b))) )],[refute_0_13094,refute_0_13100]) ).

cnf(refute_0_13102,plain,
    product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))))]]) ).

cnf(refute_0_13103,plain,
    ( product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(product(a,b),product(product(b,c),c)) != bigC(product(a,c),b,product(c,b))
    | product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) ),[1,1],$fot(bigC(product(a,c),b,product(c,b)))]]) ).

cnf(refute_0_13104,plain,
    ( product(product(a,b),product(product(b,c),c)) != bigC(product(a,c),b,product(c,b))
    | product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13102,refute_0_13103]) ).

cnf(refute_0_13105,plain,
    product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(b,c),c)),bigC(product(a,c),b,product(c,b))) )],[refute_0_13101,refute_0_13104]) ).

cnf(refute_0_13106,plain,
    ( product(a,product(b,product(b,product(a,c)))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))) != product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))
    | product(a,product(b,product(b,product(a,c)))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,product(b,product(a,c)))),product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))) ),[0],$fot(product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))))]]) ).

cnf(refute_0_13107,plain,
    ( product(a,product(b,product(b,product(a,c)))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(a,product(b,product(b,product(a,c)))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),product(product(b,c),c))),product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))) )],[refute_0_13105,refute_0_13106]) ).

cnf(refute_0_13108,plain,
    ( product(a,product(b,product(product(b,c),c))) != product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))
    | product(a,product(b,product(b,product(a,c)))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,product(a,c)))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13087,refute_0_13107]) ).

cnf(refute_0_13109,plain,
    product(a,product(b,product(b,product(a,c)))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(product(b,c),c))),product(bigC(a,a,b),product(product(a,b),product(product(b,c),c)))) )],[refute_0_13085,refute_0_13108]) ).

cnf(refute_0_13110,plain,
    product(bigC(a,a,b),product(product(product(a,c),b),c)) = bigC(c,product(a,c),product(product(a,c),b)),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_13111,plain,
    bigC(difference(product(c,b),c),X_22,product(c,b)) = product(product(difference(product(c,b),c),X_22),c),
    inference(subst,[],[refute_0_27:[bind(B,$fot(c)),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_13112,plain,
    ( bigC(difference(product(c,b),c),X_22,product(c,b)) != product(product(difference(product(c,b),c),X_22),c)
    | difference(product(c,b),c) != product(a,c)
    | bigC(product(a,c),X_22,product(c,b)) = product(product(difference(product(c,b),c),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),c),X_22,product(c,b)),product(product(difference(product(c,b),c),X_22),c)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_13113,plain,
    ( bigC(difference(product(c,b),c),X_22,product(c,b)) != product(product(difference(product(c,b),c),X_22),c)
    | bigC(product(a,c),X_22,product(c,b)) = product(product(difference(product(c,b),c),X_22),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),c),product(a,c)) )],[refute_0_9077,refute_0_13112]) ).

cnf(refute_0_13114,plain,
    bigC(product(a,c),X_22,product(c,b)) = product(product(difference(product(c,b),c),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),c),X_22,product(c,b)),product(product(difference(product(c,b),c),X_22),c)) )],[refute_0_13111,refute_0_13113]) ).

cnf(refute_0_13115,plain,
    product(difference(product(c,b),c),X_22) = product(difference(product(c,b),c),X_22),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),c),X_22))]]) ).

cnf(refute_0_13116,plain,
    ( difference(product(c,b),c) != product(a,c)
    | product(difference(product(c,b),c),X_22) != product(difference(product(c,b),c),X_22)
    | product(difference(product(c,b),c),X_22) = product(product(a,c),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),c),X_22),product(difference(product(c,b),c),X_22)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_13117,plain,
    ( difference(product(c,b),c) != product(a,c)
    | product(difference(product(c,b),c),X_22) = product(product(a,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),c),X_22),product(difference(product(c,b),c),X_22)) )],[refute_0_13115,refute_0_13116]) ).

cnf(refute_0_13118,plain,
    product(difference(product(c,b),c),X_22) = product(product(a,c),X_22),
    inference(resolve,[$cnf( $equal(difference(product(c,b),c),product(a,c)) )],[refute_0_9077,refute_0_13117]) ).

cnf(refute_0_13119,plain,
    product(product(difference(product(c,b),c),X_22),c) = product(product(difference(product(c,b),c),X_22),c),
    introduced(tautology,[refl,[$fot(product(product(difference(product(c,b),c),X_22),c))]]) ).

cnf(refute_0_13120,plain,
    ( product(difference(product(c,b),c),X_22) != product(product(a,c),X_22)
    | product(product(difference(product(c,b),c),X_22),c) != product(product(difference(product(c,b),c),X_22),c)
    | product(product(difference(product(c,b),c),X_22),c) = product(product(product(a,c),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(c,b),c),X_22),c),product(product(difference(product(c,b),c),X_22),c)) ),[1,0],$fot(product(product(a,c),X_22))]]) ).

cnf(refute_0_13121,plain,
    ( product(difference(product(c,b),c),X_22) != product(product(a,c),X_22)
    | product(product(difference(product(c,b),c),X_22),c) = product(product(product(a,c),X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,b),c),X_22),c),product(product(difference(product(c,b),c),X_22),c)) )],[refute_0_13119,refute_0_13120]) ).

cnf(refute_0_13122,plain,
    product(product(difference(product(c,b),c),X_22),c) = product(product(product(a,c),X_22),c),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),c),X_22),product(product(a,c),X_22)) )],[refute_0_13118,refute_0_13121]) ).

cnf(refute_0_13123,plain,
    ( bigC(product(a,c),X_22,product(c,b)) != product(product(difference(product(c,b),c),X_22),c)
    | product(product(difference(product(c,b),c),X_22),c) != product(product(product(a,c),X_22),c)
    | bigC(product(a,c),X_22,product(c,b)) = product(product(product(a,c),X_22),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),X_22,product(c,b)),product(product(product(a,c),X_22),c)) ),[0],$fot(product(product(difference(product(c,b),c),X_22),c))]]) ).

cnf(refute_0_13124,plain,
    ( bigC(product(a,c),X_22,product(c,b)) != product(product(difference(product(c,b),c),X_22),c)
    | bigC(product(a,c),X_22,product(c,b)) = product(product(product(a,c),X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,b),c),X_22),c),product(product(product(a,c),X_22),c)) )],[refute_0_13122,refute_0_13123]) ).

cnf(refute_0_13125,plain,
    bigC(product(a,c),X_22,product(c,b)) = product(product(product(a,c),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_22,product(c,b)),product(product(difference(product(c,b),c),X_22),c)) )],[refute_0_13114,refute_0_13124]) ).

cnf(refute_0_13126,plain,
    bigC(product(a,c),b,product(c,b)) = product(product(product(a,c),b),c),
    inference(subst,[],[refute_0_13125:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_13127,plain,
    product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))))]]) ).

cnf(refute_0_13128,plain,
    ( bigC(product(a,c),b,product(c,b)) != product(product(product(a,c),b),c)
    | product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) != product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))
    | product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = product(bigC(a,a,b),product(product(product(a,c),b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))) ),[1,1],$fot(product(product(product(a,c),b),c))]]) ).

cnf(refute_0_13129,plain,
    ( bigC(product(a,c),b,product(c,b)) != product(product(product(a,c),b),c)
    | product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = product(bigC(a,a,b),product(product(product(a,c),b),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))) )],[refute_0_13127,refute_0_13128]) ).

cnf(refute_0_13130,plain,
    product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = product(bigC(a,a,b),product(product(product(a,c),b),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,product(c,b)),product(product(product(a,c),b),c)) )],[refute_0_13126,refute_0_13129]) ).

cnf(refute_0_13131,plain,
    ( product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) != product(bigC(a,a,b),product(product(product(a,c),b),c))
    | product(bigC(a,a,b),product(product(product(a,c),b),c)) != bigC(c,product(a,c),product(product(a,c),b))
    | product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = bigC(c,product(a,c),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))))),bind(Y,$fot(product(bigC(a,a,b),product(product(product(a,c),b),c)))),bind(Z,$fot(bigC(c,product(a,c),product(product(a,c),b))))]]) ).

cnf(refute_0_13132,plain,
    ( product(bigC(a,a,b),product(product(product(a,c),b),c)) != bigC(c,product(a,c),product(product(a,c),b))
    | product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = bigC(c,product(a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),product(bigC(a,a,b),product(product(product(a,c),b),c))) )],[refute_0_13130,refute_0_13131]) ).

cnf(refute_0_13133,plain,
    product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) = bigC(c,product(a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(product(a,c),b),c)),bigC(c,product(a,c),product(product(a,c),b))) )],[refute_0_13110,refute_0_13132]) ).

cnf(refute_0_13134,plain,
    ( product(a,product(b,product(b,product(a,c)))) != product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))
    | product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))) != bigC(c,product(a,c),product(product(a,c),b))
    | product(a,product(b,product(b,product(a,c)))) = bigC(c,product(a,c),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,product(b,product(a,c)))),bigC(c,product(a,c),product(product(a,c),b))) ),[0],$fot(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))))]]) ).

cnf(refute_0_13135,plain,
    ( product(a,product(b,product(b,product(a,c)))) != product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))
    | product(a,product(b,product(b,product(a,c)))) = bigC(c,product(a,c),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(product(a,c),b,product(c,b))),bigC(c,product(a,c),product(product(a,c),b))) )],[refute_0_13133,refute_0_13134]) ).

cnf(refute_0_13136,plain,
    product(a,product(b,product(b,product(a,c)))) = bigC(c,product(a,c),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,product(a,c)))),product(bigC(a,a,b),bigC(product(a,c),b,product(c,b)))) )],[refute_0_13109,refute_0_13135]) ).

cnf(refute_0_13137,plain,
    ( product(a,product(b,product(b,product(a,c)))) != bigC(c,product(a,c),product(product(a,c),b))
    | bigC(c,product(a,c),product(product(a,c),b)) = product(a,product(b,product(b,product(a,c)))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,product(b,product(a,c)))))),bind(Y,$fot(bigC(c,product(a,c),product(product(a,c),b))))]]) ).

cnf(refute_0_13138,plain,
    bigC(c,product(a,c),product(product(a,c),b)) = product(a,product(b,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,product(a,c)))),bigC(c,product(a,c),product(product(a,c),b))) )],[refute_0_13136,refute_0_13137]) ).

cnf(refute_0_13139,plain,
    ( bigC(c,product(a,c),product(product(a,c),b)) != product(a,product(b,product(b,product(a,c))))
    | product(c,product(bigC(a,a,c),b)) != bigC(c,product(a,c),product(product(a,c),b))
    | product(c,product(bigC(a,a,c),b)) = product(a,product(b,product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(a,a,c),b)),bigC(c,product(a,c),product(product(a,c),b))) ),[1],$fot(product(a,product(b,product(b,product(a,c)))))]]) ).

cnf(refute_0_13140,plain,
    ( product(c,product(bigC(a,a,c),b)) != bigC(c,product(a,c),product(product(a,c),b))
    | product(c,product(bigC(a,a,c),b)) = product(a,product(b,product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(product(a,c),b)),product(a,product(b,product(b,product(a,c))))) )],[refute_0_13138,refute_0_13139]) ).

cnf(refute_0_13141,plain,
    product(c,product(bigC(a,a,c),b)) = product(a,product(b,product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,c),b)),bigC(c,product(a,c),product(product(a,c),b))) )],[refute_0_13046,refute_0_13140]) ).

cnf(refute_0_13142,plain,
    ( product(c,product(bigC(a,a,c),b)) != product(a,product(b,product(b,product(a,c))))
    | product(a,product(b,product(b,product(a,c)))) = product(c,product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(bigC(a,a,c),b)))),bind(Y,$fot(product(a,product(b,product(b,product(a,c))))))]]) ).

cnf(refute_0_13143,plain,
    product(a,product(b,product(b,product(a,c)))) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(a,a,c),b)),product(a,product(b,product(b,product(a,c))))) )],[refute_0_13141,refute_0_13142]) ).

cnf(refute_0_13144,plain,
    ( product(a,product(b,product(b,product(a,c)))) != product(c,product(bigC(a,a,c),b))
    | quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) != product(a,product(b,product(b,product(a,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) = product(c,product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,product(b,product(b,product(a,c))))) ),[1],$fot(product(c,product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_13145,plain,
    ( quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) != product(a,product(b,product(b,product(a,c))))
    | quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) = product(c,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(b,product(a,c)))),product(c,product(bigC(a,a,c),b))) )],[refute_0_13143,refute_0_13144]) ).

cnf(refute_0_13146,plain,
    quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) = product(c,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,product(b,product(b,product(a,c))))) )],[refute_0_12710,refute_0_13145]) ).

cnf(refute_0_13147,plain,
    ( product(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,bigC(b,b,product(c,a)))) != product(a,product(b,c))
    | quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))) != product(c,product(bigC(a,a,c),b))
    | product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,bigC(b,b,product(c,a)))),product(a,product(b,c))) ),[0,0],$fot(product(c,product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_13148,plain,
    ( product(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,bigC(b,b,product(c,a)))) != product(a,product(b,c))
    | product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(c,product(bigC(a,a,c),b))) )],[refute_0_13146,refute_0_13147]) ).

cnf(refute_0_13149,plain,
    product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(b,c)),product(a,bigC(b,b,product(c,a)))),product(a,bigC(b,b,product(c,a)))),product(a,product(b,c))) )],[refute_0_12613,refute_0_13148]) ).

cnf(refute_0_13150,plain,
    product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,C),product(a,product(bigC(c,b,c),product(b,c)))),
    inference(subst,[],[sos05:[bind(B,$fot(a)),bind(D,$fot(product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_13151,plain,
    ( product(a,product(bigC(c,b,c),product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) != product(product(A,C),product(a,product(bigC(c,b,c),product(b,c))))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,C),product(a,product(bigC(c,b,c),product(b,c))))) ),[1,1],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13152,plain,
    ( product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) != product(product(A,C),product(a,product(bigC(c,b,c),product(b,c))))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(a,product(bigC(c,b,c),product(b,c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_3031,refute_0_13151]) ).

cnf(refute_0_13153,plain,
    product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,C),product(a,product(bigC(c,b,c),product(b,c))))) )],[refute_0_13150,refute_0_13152]) ).

cnf(refute_0_13154,plain,
    product(C,product(bigC(c,b,c),product(b,c))) = product(C,product(bigC(c,b,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(C,product(bigC(c,b,c),product(b,c))))]]) ).

cnf(refute_0_13155,plain,
    ( product(C,product(bigC(c,b,c),product(b,c))) != product(C,product(bigC(c,b,c),product(b,c)))
    | product(bigC(c,b,c),product(b,c)) != bigC(c,b,product(b,c))
    | product(C,product(bigC(c,b,c),product(b,c))) = product(C,bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(bigC(c,b,c),product(b,c))),product(C,product(bigC(c,b,c),product(b,c)))) ),[1,1],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_13156,plain,
    ( product(bigC(c,b,c),product(b,c)) != bigC(c,b,product(b,c))
    | product(C,product(bigC(c,b,c),product(b,c))) = product(C,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(C,product(bigC(c,b,c),product(b,c))),product(C,product(bigC(c,b,c),product(b,c)))) )],[refute_0_13154,refute_0_13155]) ).

cnf(refute_0_13157,plain,
    product(C,product(bigC(c,b,c),product(b,c))) = product(C,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,c)),bigC(c,b,product(b,c))) )],[refute_0_7486,refute_0_13156]) ).

cnf(refute_0_13158,plain,
    product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))))]]) ).

cnf(refute_0_13159,plain,
    ( product(C,product(bigC(c,b,c),product(b,c))) != product(C,bigC(c,b,product(b,c)))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) != product(product(A,a),product(C,product(bigC(c,b,c),product(b,c))))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,a),product(C,bigC(c,b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,a),product(C,product(bigC(c,b,c),product(b,c))))) ),[1,1],$fot(product(C,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13160,plain,
    ( product(C,product(bigC(c,b,c),product(b,c))) != product(C,bigC(c,b,product(b,c)))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,a),product(C,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,a),product(C,product(bigC(c,b,c),product(b,c))))) )],[refute_0_13158,refute_0_13159]) ).

cnf(refute_0_13161,plain,
    product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) = product(product(A,a),product(C,bigC(c,b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(C,product(bigC(c,b,c),product(b,c))),product(C,bigC(c,b,product(b,c)))) )],[refute_0_13157,refute_0_13160]) ).

cnf(refute_0_13162,plain,
    ( product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) != product(product(A,a),product(C,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) ),[0],$fot(product(product(A,a),product(C,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_13163,plain,
    ( product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,a),product(C,bigC(c,b,product(b,c))))) )],[refute_0_13161,refute_0_13162]) ).

cnf(refute_0_13164,plain,
    product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(bigC(c,b,c),product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) )],[refute_0_13153,refute_0_13163]) ).

cnf(refute_0_13165,plain,
    product(C,bigC(c,b,product(b,c))) = product(C,bigC(c,b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(C,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13166,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(C,bigC(c,b,product(b,c))) != product(C,bigC(c,b,product(b,c)))
    | product(C,bigC(c,b,product(b,c))) = product(C,bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(c,b,product(b,c))),product(C,bigC(c,b,product(b,c)))) ),[1,1],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_13167,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(C,bigC(c,b,product(b,c))) = product(C,bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,b,product(b,c))),product(C,bigC(c,b,product(b,c)))) )],[refute_0_13165,refute_0_13166]) ).

cnf(refute_0_13168,plain,
    product(C,bigC(c,b,product(b,c))) = product(C,bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_13167]) ).

cnf(refute_0_13169,plain,
    product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,a),product(C,bigC(c,b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_13170,plain,
    ( product(C,bigC(c,b,product(b,c))) != product(C,bigC(b,c,product(b,c)))
    | product(product(A,a),product(C,bigC(c,b,product(b,c)))) != product(product(A,a),product(C,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,a),product(C,bigC(b,c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,bigC(c,b,product(b,c)))),product(product(A,a),product(C,bigC(c,b,product(b,c))))) ),[1,1],$fot(product(C,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_13171,plain,
    ( product(C,bigC(c,b,product(b,c))) != product(C,bigC(b,c,product(b,c)))
    | product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,a),product(C,bigC(b,c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(c,b,product(b,c)))),product(product(A,a),product(C,bigC(c,b,product(b,c))))) )],[refute_0_13169,refute_0_13170]) ).

cnf(refute_0_13172,plain,
    product(product(A,a),product(C,bigC(c,b,product(b,c)))) = product(product(A,a),product(C,bigC(b,c,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,b,product(b,c))),product(C,bigC(b,c,product(b,c)))) )],[refute_0_13168,refute_0_13171]) ).

cnf(refute_0_13173,plain,
    ( product(product(A,a),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(c,b,product(b,c)))) != product(product(A,a),product(C,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,bigC(c,b,product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) ),[0],$fot(product(product(A,a),product(C,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_13174,plain,
    ( product(product(A,a),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(c,b,product(b,c)))),product(product(A,a),product(C,bigC(b,c,product(b,c))))) )],[refute_0_13172,refute_0_13173]) ).

cnf(refute_0_13175,plain,
    product(a,bigC(c,b,product(b,c))) = product(a,bigC(c,b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_13176,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(a,bigC(c,b,product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | product(a,bigC(c,b,product(b,c))) = product(a,bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),product(a,bigC(c,b,product(b,c)))) ),[1,1],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_13177,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(a,bigC(c,b,product(b,c))) = product(a,bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_13175,refute_0_13176]) ).

cnf(refute_0_13178,plain,
    product(a,bigC(c,b,product(b,c))) = product(a,bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_13177]) ).

cnf(refute_0_13179,plain,
    product(product(A,C),product(a,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(c,b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(a,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_13180,plain,
    ( product(a,bigC(c,b,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | product(product(A,C),product(a,bigC(c,b,product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,C),product(a,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(a,bigC(c,b,product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) ),[1,1],$fot(product(a,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_13181,plain,
    ( product(a,bigC(c,b,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | product(product(A,C),product(a,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(c,b,product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) )],[refute_0_13179,refute_0_13180]) ).

cnf(refute_0_13182,plain,
    product(product(A,C),product(a,bigC(c,b,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_13178,refute_0_13181]) ).

cnf(refute_0_13183,plain,
    ( product(product(A,C),product(a,bigC(c,b,product(b,c)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) ),[1],$fot(product(product(A,C),product(a,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_13184,plain,
    ( product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(c,b,product(b,c)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) )],[refute_0_13182,refute_0_13183]) ).

cnf(refute_0_13185,plain,
    ( product(product(A,a),product(C,bigC(c,b,product(b,c)))) != product(product(A,C),product(a,bigC(c,b,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) )],[refute_0_13174,refute_0_13184]) ).

cnf(refute_0_13186,plain,
    product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(c,b,product(b,c)))),product(product(A,C),product(a,bigC(c,b,product(b,c))))) )],[refute_0_13164,refute_0_13185]) ).

cnf(refute_0_13187,plain,
    product(C,bigC(b,c,product(b,c))) = product(C,bigC(b,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(C,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_13188,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(C,bigC(b,c,product(b,c))) != product(C,bigC(b,c,product(b,c)))
    | product(C,bigC(b,c,product(b,c))) = product(C,bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(b,c,product(b,c))),product(C,bigC(b,c,product(b,c)))) ),[1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_13189,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(C,bigC(b,c,product(b,c))) = product(C,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,c,product(b,c))),product(C,bigC(b,c,product(b,c)))) )],[refute_0_13187,refute_0_13188]) ).

cnf(refute_0_13190,plain,
    product(C,bigC(b,c,product(b,c))) = product(C,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_10045,refute_0_13189]) ).

cnf(refute_0_13191,plain,
    product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,a),product(C,bigC(b,c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_13192,plain,
    ( product(C,bigC(b,c,product(b,c))) != product(C,bigC(b,b,product(c,a)))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,a),product(C,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,a),product(C,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,a),product(C,bigC(b,c,product(b,c))))) ),[1,1],$fot(product(C,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13193,plain,
    ( product(C,bigC(b,c,product(b,c))) != product(C,bigC(b,b,product(c,a)))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,a),product(C,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,a),product(C,bigC(b,c,product(b,c))))) )],[refute_0_13191,refute_0_13192]) ).

cnf(refute_0_13194,plain,
    product(product(A,a),product(C,bigC(b,c,product(b,c)))) = product(product(A,a),product(C,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,c,product(b,c))),product(C,bigC(b,b,product(c,a)))) )],[refute_0_13190,refute_0_13193]) ).

cnf(refute_0_13195,plain,
    ( product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,a),product(C,bigC(b,b,product(c,a))))
    | product(product(A,a),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) ),[0],$fot(product(product(A,a),product(C,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_13196,plain,
    ( product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,a),product(C,bigC(b,b,product(c,a))))) )],[refute_0_13194,refute_0_13195]) ).

cnf(refute_0_13197,plain,
    product(product(A,C),product(a,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(a,bigC(b,c,product(b,c)))))]]) ).

cnf(refute_0_13198,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | product(product(A,C),product(a,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,C),product(a,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(a,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) ),[1,1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_13199,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | product(product(A,C),product(a,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) )],[refute_0_13197,refute_0_13198]) ).

cnf(refute_0_13200,plain,
    product(product(A,C),product(a,bigC(b,c,product(b,c)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_12703,refute_0_13199]) ).

cnf(refute_0_13201,plain,
    ( product(product(A,C),product(a,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(b,b,product(c,a))))
    | product(product(A,a),product(C,bigC(b,b,product(c,a)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,bigC(b,b,product(c,a)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) ),[1],$fot(product(product(A,C),product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_13202,plain,
    ( product(product(A,a),product(C,bigC(b,b,product(c,a)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(a,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(b,b,product(c,a))))) )],[refute_0_13200,refute_0_13201]) ).

cnf(refute_0_13203,plain,
    ( product(product(A,a),product(C,bigC(b,c,product(b,c)))) != product(product(A,C),product(a,bigC(b,c,product(b,c))))
    | product(product(A,a),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(b,b,product(c,a)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) )],[refute_0_13196,refute_0_13202]) ).

cnf(refute_0_13204,plain,
    product(product(A,a),product(C,bigC(b,b,product(c,a)))) = product(product(A,C),product(a,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(b,c,product(b,c)))),product(product(A,C),product(a,bigC(b,c,product(b,c))))) )],[refute_0_13186,refute_0_13203]) ).

cnf(refute_0_13205,plain,
    ( product(product(A,a),product(C,bigC(b,b,product(c,a)))) != product(product(A,C),product(a,bigC(b,b,product(c,a))))
    | product(product(A,C),product(a,bigC(b,b,product(c,a)))) = product(product(A,a),product(C,bigC(b,b,product(c,a)))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,a),product(C,bigC(b,b,product(c,a)))))),bind(Y,$fot(product(product(A,C),product(a,bigC(b,b,product(c,a))))))]]) ).

cnf(refute_0_13206,plain,
    product(product(A,C),product(a,bigC(b,b,product(c,a)))) = product(product(A,a),product(C,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,bigC(b,b,product(c,a)))),product(product(A,C),product(a,bigC(b,b,product(c,a))))) )],[refute_0_13204,refute_0_13205]) ).

cnf(refute_0_13207,plain,
    product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) = product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),
    inference(subst,[],[refute_0_13206:[bind(A,$fot(c)),bind(C,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_13208,plain,
    ( product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) != product(a,product(b,c))
    | product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) != product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))))
    | product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))),product(a,product(b,c))) ),[0],$fot(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_13209,plain,
    ( product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) != product(a,product(b,c))
    | product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))),product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))))) )],[refute_0_13207,refute_0_13208]) ).

cnf(refute_0_13210,plain,
    product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))),product(a,product(b,c))) )],[refute_0_13149,refute_0_13209]) ).

cnf(refute_0_13211,plain,
    ( difference(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) != product(X_23,product(c,a))
    | product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))) != product(a,product(b,c))
    | difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = product(X_23,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),product(X_23,product(c,a))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13212,plain,
    ( difference(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) != product(X_23,product(c,a))
    | difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = product(X_23,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(a,product(b,c))) )],[refute_0_13210,refute_0_13211]) ).

cnf(refute_0_13213,plain,
    difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = product(X_23,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),product(X_23,product(c,a))) )],[refute_0_12612,refute_0_13212]) ).

cnf(refute_0_13214,plain,
    bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = product(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(C,product(c,a))),
    inference(subst,[],[sos08:[bind(A,$fot(product(c,a))),bind(B,$fot(product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_13215,plain,
    ( bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) != product(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(C,product(c,a)))
    | product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))) != product(a,product(b,c))
    | bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = product(product(a,product(b,c)),product(C,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C),product(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(C,product(c,a)))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13216,plain,
    ( bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) != product(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(C,product(c,a)))
    | bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = product(product(a,product(b,c)),product(C,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(a,product(b,c))) )],[refute_0_13210,refute_0_13215]) ).

cnf(refute_0_13217,plain,
    bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = product(product(a,product(b,c)),product(C,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C),product(product(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a)))),product(C,product(c,a)))) )],[refute_0_13214,refute_0_13216]) ).

cnf(refute_0_13218,plain,
    product(product(a,C),product(b,a)) = bigC(a,C,b),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(C)),bind(C,$fot(b))]]) ).

cnf(refute_0_13219,plain,
    product(product(A,product(b,c)),product(C,product(c,a))) = product(product(A,C),product(product(b,c),product(c,a))),
    inference(subst,[],[sos05:[bind(B,$fot(product(b,c))),bind(D,$fot(product(c,a)))]]) ).

cnf(refute_0_13220,plain,
    ( product(product(A,product(b,c)),product(C,product(c,a))) != product(product(A,C),product(product(b,c),product(c,a)))
    | product(product(b,c),product(c,a)) != product(b,a)
    | product(product(A,product(b,c)),product(C,product(c,a))) = product(product(A,C),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(b,c)),product(C,product(c,a))),product(product(A,C),product(product(b,c),product(c,a)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_13221,plain,
    ( product(product(A,product(b,c)),product(C,product(c,a))) != product(product(A,C),product(product(b,c),product(c,a)))
    | product(product(A,product(b,c)),product(C,product(c,a))) = product(product(A,C),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,a)),product(b,a)) )],[refute_0_12081,refute_0_13220]) ).

cnf(refute_0_13222,plain,
    product(product(A,product(b,c)),product(C,product(c,a))) = product(product(A,C),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(A,product(b,c)),product(C,product(c,a))),product(product(A,C),product(product(b,c),product(c,a)))) )],[refute_0_13219,refute_0_13221]) ).

cnf(refute_0_13223,plain,
    product(product(a,product(b,c)),product(C,product(c,a))) = product(product(a,C),product(b,a)),
    inference(subst,[],[refute_0_13222:[bind(A,$fot(a))]]) ).

cnf(refute_0_13224,plain,
    ( product(product(a,C),product(b,a)) != bigC(a,C,b)
    | product(product(a,product(b,c)),product(C,product(c,a))) != product(product(a,C),product(b,a))
    | product(product(a,product(b,c)),product(C,product(c,a))) = bigC(a,C,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(C,product(c,a))))),bind(Y,$fot(product(product(a,C),product(b,a)))),bind(Z,$fot(bigC(a,C,b)))]]) ).

cnf(refute_0_13225,plain,
    ( product(product(a,C),product(b,a)) != bigC(a,C,b)
    | product(product(a,product(b,c)),product(C,product(c,a))) = bigC(a,C,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(C,product(c,a))),product(product(a,C),product(b,a))) )],[refute_0_13223,refute_0_13224]) ).

cnf(refute_0_13226,plain,
    product(product(a,product(b,c)),product(C,product(c,a))) = bigC(a,C,b),
    inference(resolve,[$cnf( $equal(product(product(a,C),product(b,a)),bigC(a,C,b)) )],[refute_0_13218,refute_0_13225]) ).

cnf(refute_0_13227,plain,
    ( bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) != product(product(a,product(b,c)),product(C,product(c,a)))
    | product(product(a,product(b,c)),product(C,product(c,a))) != bigC(a,C,b)
    | bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = bigC(a,C,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C),bigC(a,C,b)) ),[0],$fot(product(product(a,product(b,c)),product(C,product(c,a))))]]) ).

cnf(refute_0_13228,plain,
    ( bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) != product(product(a,product(b,c)),product(C,product(c,a)))
    | bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = bigC(a,C,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(C,product(c,a))),bigC(a,C,b)) )],[refute_0_13226,refute_0_13227]) ).

cnf(refute_0_13229,plain,
    bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C) = bigC(a,C,b),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),C),product(product(a,product(b,c)),product(C,product(c,a)))) )],[refute_0_13217,refute_0_13228]) ).

cnf(refute_0_13230,plain,
    bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23) = bigC(a,X_23,b),
    inference(subst,[],[refute_0_13229:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_13231,plain,
    difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)))]]) ).

cnf(refute_0_13232,plain,
    ( bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23) != bigC(a,X_23,b)
    | difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) != difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23))
    | difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = difference(product(a,product(b,c)),bigC(a,X_23,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23))) ),[1,1],$fot(bigC(a,X_23,b))]]) ).

cnf(refute_0_13233,plain,
    ( bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23) != bigC(a,X_23,b)
    | difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = difference(product(a,product(b,c)),bigC(a,X_23,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23))) )],[refute_0_13231,refute_0_13232]) ).

cnf(refute_0_13234,plain,
    difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) = difference(product(a,product(b,c)),bigC(a,X_23,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23),bigC(a,X_23,b)) )],[refute_0_13230,refute_0_13233]) ).

cnf(refute_0_13235,plain,
    ( difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) != difference(product(a,product(b,c)),bigC(a,X_23,b))
    | difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) != product(X_23,product(c,a))
    | difference(product(a,product(b,c)),bigC(a,X_23,b)) = product(X_23,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),product(X_23,product(c,a))) ),[0],$fot(difference(product(a,product(b,c)),bigC(a,X_23,b)))]]) ).

cnf(refute_0_13236,plain,
    ( difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)) != product(X_23,product(c,a))
    | difference(product(a,product(b,c)),bigC(a,X_23,b)) = product(X_23,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),difference(product(a,product(b,c)),bigC(a,X_23,b))) )],[refute_0_13234,refute_0_13235]) ).

cnf(refute_0_13237,plain,
    difference(product(a,product(b,c)),bigC(a,X_23,b)) = product(X_23,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(product(c,a),product(product(bigC(a,a,c),b),bigC(b,b,product(c,a))),X_23)),product(X_23,product(c,a))) )],[refute_0_13213,refute_0_13236]) ).

cnf(refute_0_13238,plain,
    difference(product(a,product(b,c)),bigC(a,a,b)) = product(a,product(c,a)),
    inference(subst,[],[refute_0_13237:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_13239,plain,
    ( difference(product(a,product(b,c)),bigC(a,a,b)) != product(a,product(c,a))
    | product(a,product(c,a)) != bigC(a,a,c)
    | difference(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,product(b,c)),bigC(a,a,b)))),bind(Y,$fot(product(a,product(c,a)))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_13240,plain,
    ( product(a,product(c,a)) != bigC(a,a,c)
    | difference(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(a,a,b)),product(a,product(c,a))) )],[refute_0_13238,refute_0_13239]) ).

cnf(refute_0_13241,plain,
    difference(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(a,product(c,a)),bigC(a,a,c)) )],[refute_0_12611,refute_0_13240]) ).

cnf(refute_0_13242,plain,
    difference(product(c,product(a,b)),bigC(a,a,b)) = difference(product(c,product(a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_13243,plain,
    ( difference(product(c,product(a,b)),bigC(a,a,b)) != difference(product(c,product(a,b)),bigC(a,a,b))
    | product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(c,product(a,b)),bigC(a,a,b)) = difference(product(a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,b)),bigC(a,a,b)),difference(product(c,product(a,b)),bigC(a,a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13244,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(c,product(a,b)),bigC(a,a,b)) = difference(product(a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),bigC(a,a,b)),difference(product(c,product(a,b)),bigC(a,a,b))) )],[refute_0_13242,refute_0_13243]) ).

cnf(refute_0_13245,plain,
    difference(product(c,product(a,b)),bigC(a,a,b)) = difference(product(a,product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_13244]) ).

cnf(refute_0_13246,plain,
    ( difference(product(a,product(b,c)),bigC(a,a,b)) != bigC(a,a,c)
    | difference(product(c,product(a,b)),bigC(a,a,b)) != difference(product(a,product(b,c)),bigC(a,a,b))
    | difference(product(c,product(a,b)),bigC(a,a,b)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,product(a,b)),bigC(a,a,b)))),bind(Y,$fot(difference(product(a,product(b,c)),bigC(a,a,b)))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_13247,plain,
    ( difference(product(a,product(b,c)),bigC(a,a,b)) != bigC(a,a,c)
    | difference(product(c,product(a,b)),bigC(a,a,b)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),bigC(a,a,b)),difference(product(a,product(b,c)),bigC(a,a,b))) )],[refute_0_13245,refute_0_13246]) ).

cnf(refute_0_13248,plain,
    difference(product(c,product(a,b)),bigC(a,a,b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),bigC(a,a,b)),bigC(a,a,c)) )],[refute_0_13241,refute_0_13247]) ).

cnf(refute_0_13249,plain,
    ( difference(product(c,product(a,b)),bigC(a,a,b)) != bigC(a,a,c)
    | difference(product(c,product(a,b)),bigC(a,a,b)) != product(difference(product(c,b),product(b,a)),c)
    | bigC(a,a,c) = product(difference(product(c,b),product(b,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,b)),bigC(a,a,b)),product(difference(product(c,b),product(b,a)),c)) ),[0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_13250,plain,
    ( difference(product(c,product(a,b)),bigC(a,a,b)) != product(difference(product(c,b),product(b,a)),c)
    | bigC(a,a,c) = product(difference(product(c,b),product(b,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),bigC(a,a,b)),bigC(a,a,c)) )],[refute_0_13248,refute_0_13249]) ).

cnf(refute_0_13251,plain,
    bigC(a,a,c) = product(difference(product(c,b),product(b,a)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),bigC(a,a,b)),product(difference(product(c,b),product(b,a)),c)) )],[refute_0_12610,refute_0_13250]) ).

cnf(refute_0_13252,plain,
    ( bigC(a,a,c) != product(difference(product(c,b),product(b,a)),c)
    | product(difference(product(c,b),product(b,a)),c) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,c))),bind(Y,$fot(product(difference(product(c,b),product(b,a)),c)))]]) ).

cnf(refute_0_13253,plain,
    product(difference(product(c,b),product(b,a)),c) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,a,c),product(difference(product(c,b),product(b,a)),c)) )],[refute_0_13251,refute_0_13252]) ).

cnf(refute_0_13254,plain,
    ( product(difference(product(c,b),product(b,a)),c) != bigC(a,a,c)
    | quotient(product(difference(product(c,b),product(b,a)),c),c) != difference(product(c,b),product(b,a))
    | quotient(bigC(a,a,c),c) = difference(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(c,b),product(b,a)),c),c),difference(product(c,b),product(b,a))) ),[0,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_13255,plain,
    ( quotient(product(difference(product(c,b),product(b,a)),c),c) != difference(product(c,b),product(b,a))
    | quotient(bigC(a,a,c),c) = difference(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),c),bigC(a,a,c)) )],[refute_0_13253,refute_0_13254]) ).

cnf(refute_0_13256,plain,
    quotient(bigC(a,a,c),c) = difference(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(c,b),product(b,a)),c),c),difference(product(c,b),product(b,a))) )],[refute_0_12541,refute_0_13255]) ).

cnf(refute_0_13257,plain,
    ( quotient(bigC(a,a,c),c) != difference(product(c,b),product(b,a))
    | difference(product(c,b),product(b,a)) = quotient(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(bigC(a,a,c),c))),bind(Y,$fot(difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_13258,plain,
    difference(product(c,b),product(b,a)) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),difference(product(c,b),product(b,a))) )],[refute_0_13256,refute_0_13257]) ).

cnf(refute_0_13259,plain,
    product(product(b,a),difference(product(c,b),product(b,a))) = product(product(b,a),difference(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(b,a),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_13260,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(product(b,a),difference(product(c,b),product(b,a))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(product(b,a),difference(product(c,b),product(b,a))) = product(product(b,a),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),product(product(b,a),difference(product(c,b),product(b,a)))) ),[1,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_13261,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(product(b,a),difference(product(c,b),product(b,a))) = product(product(b,a),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_13259,refute_0_13260]) ).

cnf(refute_0_13262,plain,
    product(product(b,a),difference(product(c,b),product(b,a))) = product(product(b,a),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_13261]) ).

cnf(refute_0_13263,plain,
    ( difference(b,difference(c,product(b,c))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(product(b,a),difference(product(c,b),product(b,a))) != product(product(b,a),quotient(bigC(a,a,c),c))
    | difference(b,difference(c,product(b,c))) = product(product(b,a),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(b,difference(c,product(b,c))),product(product(b,a),quotient(bigC(a,a,c),c))) ),[0],$fot(product(product(b,a),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_13264,plain,
    ( difference(b,difference(c,product(b,c))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | difference(b,difference(c,product(b,c))) = product(product(b,a),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),product(product(b,a),quotient(bigC(a,a,c),c))) )],[refute_0_13262,refute_0_13263]) ).

cnf(refute_0_13265,plain,
    difference(b,difference(c,product(b,c))) = product(product(b,a),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_12540,refute_0_13264]) ).

cnf(refute_0_13266,plain,
    ( difference(b,difference(c,product(b,c))) != product(product(b,a),quotient(bigC(a,a,c),c))
    | product(product(b,a),quotient(bigC(a,a,c),c)) = difference(b,difference(c,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,difference(c,product(b,c))))),bind(Y,$fot(product(product(b,a),quotient(bigC(a,a,c),c))))]]) ).

cnf(refute_0_13267,plain,
    product(product(b,a),quotient(bigC(a,a,c),c)) = difference(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),product(product(b,a),quotient(bigC(a,a,c),c))) )],[refute_0_13265,refute_0_13266]) ).

cnf(refute_0_13268,plain,
    difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(c)),bind(X_20,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_13269,plain,
    ( difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))))
    | quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))))) ),[1,1,1],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_13270,plain,
    ( difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))))
    | difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_13269]) ).

cnf(refute_0_13271,plain,
    difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),quotient(c,difference(c,product(b,a)))))) )],[refute_0_13268,refute_0_13270]) ).

cnf(refute_0_13272,plain,
    difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))))]]) ).

cnf(refute_0_13273,plain,
    ( difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) != difference(product(c,difference(c,product(b,a))),difference(c,product(b,a)))
    | product(c,difference(c,product(b,a))) != product(b,a)
    | difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = difference(product(b,a),difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),difference(product(c,difference(c,product(b,a))),difference(c,product(b,a)))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_13274,plain,
    ( product(c,difference(c,product(b,a))) != product(b,a)
    | difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = difference(product(b,a),difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),difference(product(c,difference(c,product(b,a))),difference(c,product(b,a)))) )],[refute_0_13272,refute_0_13273]) ).

cnf(refute_0_13275,plain,
    difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) = difference(product(b,a),difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(b,a))),product(b,a)) )],[refute_0_12157,refute_0_13274]) ).

cnf(refute_0_13276,plain,
    ( difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) != difference(product(b,a),difference(c,product(b,a)))
    | difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) ),[0],$fot(difference(product(b,a),difference(c,product(b,a))))]]) ).

cnf(refute_0_13277,plain,
    ( difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),difference(product(b,a),difference(c,product(b,a)))) )],[refute_0_13275,refute_0_13276]) ).

cnf(refute_0_13278,plain,
    difference(product(b,a),difference(c,product(b,a))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(c,product(b,a))),difference(c,product(b,a))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) )],[refute_0_13271,refute_0_13277]) ).

cnf(refute_0_13279,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != difference(product(b,a),quotient(c,b))
    | difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | difference(product(b,a),quotient(c,b)) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) ),[0],$fot(difference(product(b,a),quotient(c,b)))]]) ).

cnf(refute_0_13280,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | difference(product(b,a),quotient(c,b)) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),difference(product(b,a),quotient(c,b))) )],[refute_0_12189,refute_0_13279]) ).

cnf(refute_0_13281,plain,
    product(difference(c,product(b,a)),difference(c,product(a,c))) = product(difference(c,product(b,a)),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,a)),difference(c,product(a,c))))]]) ).

cnf(refute_0_13282,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),difference(c,product(a,c))) != product(difference(c,product(b,a)),difference(c,product(a,c)))
    | product(difference(c,product(b,a)),difference(c,product(a,c))) = product(quotient(c,b),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,a)),difference(c,product(a,c))),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_13283,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),difference(c,product(a,c))) = product(quotient(c,b),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(c,product(a,c))),product(difference(c,product(b,a)),difference(c,product(a,c)))) )],[refute_0_13281,refute_0_13282]) ).

cnf(refute_0_13284,plain,
    product(difference(c,product(b,a)),difference(c,product(a,c))) = product(quotient(c,b),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13283]) ).

cnf(refute_0_13285,plain,
    product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))))]]) ).

cnf(refute_0_13286,plain,
    ( product(difference(c,product(b,a)),difference(c,product(a,c))) != product(quotient(c,b),difference(c,product(a,c)))
    | product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) != product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c))))) ),[1,1],$fot(product(quotient(c,b),difference(c,product(a,c))))]]) ).

cnf(refute_0_13287,plain,
    ( product(difference(c,product(b,a)),difference(c,product(a,c))) != product(quotient(c,b),difference(c,product(a,c)))
    | product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c))))) )],[refute_0_13285,refute_0_13286]) ).

cnf(refute_0_13288,plain,
    product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(c,product(a,c))),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_13284,refute_0_13287]) ).

cnf(refute_0_13289,plain,
    product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))))]]) ).

cnf(refute_0_13290,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_13291,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) )],[refute_0_13289,refute_0_13290]) ).

cnf(refute_0_13292,plain,
    product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13291]) ).

cnf(refute_0_13293,plain,
    ( product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) != product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) != product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))
    | product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))))),bind(Y,$fot(product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))))),bind(Z,$fot(product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))))]]) ).

cnf(refute_0_13294,plain,
    ( product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))) != product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))
    | product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c))))) )],[refute_0_13292,refute_0_13293]) ).

cnf(refute_0_13295,plain,
    product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) )],[refute_0_13288,refute_0_13294]) ).

cnf(refute_0_13296,plain,
    ( difference(product(b,a),quotient(c,b)) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))) != product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) ),[0],$fot(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))))]]) ).

cnf(refute_0_13297,plain,
    ( difference(product(b,a),quotient(c,b)) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c)))),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) )],[refute_0_13295,refute_0_13296]) ).

cnf(refute_0_13298,plain,
    ( difference(product(b,a),difference(c,product(b,a))) != product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) )],[refute_0_13280,refute_0_13297]) ).

cnf(refute_0_13299,plain,
    difference(product(b,a),quotient(c,b)) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(c,product(b,a))),product(difference(c,product(b,a)),product(difference(c,product(b,a)),difference(c,product(a,c))))) )],[refute_0_13278,refute_0_13298]) ).

cnf(refute_0_13300,plain,
    ( difference(product(b,a),quotient(c,b)) != product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))
    | difference(product(b,a),quotient(c,b)) != quotient(bigC(a,a,c),c)
    | quotient(bigC(a,a,c),c) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) ),[0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_13301,plain,
    ( difference(product(b,a),quotient(c,b)) != product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))
    | quotient(bigC(a,a,c),c) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),quotient(bigC(a,a,c),c)) )],[refute_0_12243,refute_0_13300]) ).

cnf(refute_0_13302,plain,
    quotient(bigC(a,a,c),c) = product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) )],[refute_0_13299,refute_0_13301]) ).

cnf(refute_0_13303,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))
    | product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) = quotient(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(bigC(a,a,c),c))),bind(Y,$fot(product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))))]]) ).

cnf(refute_0_13304,plain,
    product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) )],[refute_0_13302,refute_0_13303]) ).

cnf(refute_0_13305,plain,
    product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))))]]) ).

cnf(refute_0_13306,plain,
    ( product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))))
    | product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) != quotient(bigC(a,a,c),c)
    | product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = product(product(b,a),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))))) ),[1,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_13307,plain,
    ( product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))) != quotient(bigC(a,a,c),c)
    | product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = product(product(b,a),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))))) )],[refute_0_13305,refute_0_13306]) ).

cnf(refute_0_13308,plain,
    product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = product(product(b,a),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))),quotient(bigC(a,a,c),c)) )],[refute_0_13304,refute_0_13307]) ).

cnf(refute_0_13309,plain,
    ( product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != product(product(b,a),quotient(bigC(a,a,c),c))
    | product(product(b,a),quotient(bigC(a,a,c),c)) != difference(b,difference(c,product(b,c)))
    | product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = difference(b,difference(c,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))))),bind(Y,$fot(product(product(b,a),quotient(bigC(a,a,c),c)))),bind(Z,$fot(difference(b,difference(c,product(b,c)))))]]) ).

cnf(refute_0_13310,plain,
    ( product(product(b,a),quotient(bigC(a,a,c),c)) != difference(b,difference(c,product(b,c)))
    | product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = difference(b,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),product(product(b,a),quotient(bigC(a,a,c),c))) )],[refute_0_13308,refute_0_13309]) ).

cnf(refute_0_13311,plain,
    product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = difference(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(bigC(a,a,c),c)),difference(b,difference(c,product(b,c)))) )],[refute_0_13267,refute_0_13310]) ).

cnf(refute_0_13312,plain,
    product(product(c,B),product(quotient(c,b),D)) = product(product(c,quotient(c,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13313,plain,
    difference(product(product(quotient(a,c),c),c),c) = product(c,product(c,quotient(a,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(quotient(a,c))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_13314,plain,
    ( difference(c,product(b,a)) != product(c,quotient(a,c))
    | difference(c,product(b,a)) != quotient(c,b)
    | quotient(c,b) = product(c,quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(b,a)),product(c,quotient(a,c))) ),[0],$fot(quotient(c,b))]]) ).

cnf(refute_0_13315,plain,
    ( difference(c,product(b,a)) != product(c,quotient(a,c))
    | quotient(c,b) = product(c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13314]) ).

cnf(refute_0_13316,plain,
    quotient(c,b) = product(c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),product(c,quotient(a,c))) )],[refute_0_1958,refute_0_13315]) ).

cnf(refute_0_13317,plain,
    ( quotient(c,b) != product(c,quotient(a,c))
    | product(c,quotient(a,c)) = quotient(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(c,b))),bind(Y,$fot(product(c,quotient(a,c))))]]) ).

cnf(refute_0_13318,plain,
    product(c,quotient(a,c)) = quotient(c,b),
    inference(resolve,[$cnf( $equal(quotient(c,b),product(c,quotient(a,c))) )],[refute_0_13316,refute_0_13317]) ).

cnf(refute_0_13319,plain,
    ( difference(product(product(quotient(a,c),c),c),c) != product(c,product(c,quotient(a,c)))
    | product(c,quotient(a,c)) != quotient(c,b)
    | difference(product(product(quotient(a,c),c),c),c) = product(c,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(a,c),c),c),c),product(c,product(c,quotient(a,c)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_13320,plain,
    ( difference(product(product(quotient(a,c),c),c),c) != product(c,product(c,quotient(a,c)))
    | difference(product(product(quotient(a,c),c),c),c) = product(c,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),quotient(c,b)) )],[refute_0_13318,refute_0_13319]) ).

cnf(refute_0_13321,plain,
    difference(product(product(quotient(a,c),c),c),c) = product(c,quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(a,c),c),c),c),product(c,product(c,quotient(a,c)))) )],[refute_0_13313,refute_0_13320]) ).

cnf(refute_0_13322,plain,
    ( difference(product(a,c),c) != product(b,a)
    | product(c,product(c,quotient(a,c))) != difference(product(a,c),c)
    | product(c,product(c,quotient(a,c))) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,quotient(a,c))))),bind(Y,$fot(difference(product(a,c),c))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_13323,plain,
    ( difference(product(a,c),c) != product(b,a)
    | product(c,product(c,quotient(a,c))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(a,c))),difference(product(a,c),c)) )],[refute_0_1940,refute_0_13322]) ).

cnf(refute_0_13324,plain,
    product(c,product(c,quotient(a,c))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(product(a,c),c),product(b,a)) )],[refute_0_1955,refute_0_13323]) ).

cnf(refute_0_13325,plain,
    ( difference(product(product(quotient(a,c),c),c),c) != product(c,product(c,quotient(a,c)))
    | product(c,product(c,quotient(a,c))) != product(b,a)
    | difference(product(product(quotient(a,c),c),c),c) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(quotient(a,c),c),c),c))),bind(Y,$fot(product(c,product(c,quotient(a,c))))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_13326,plain,
    ( product(c,product(c,quotient(a,c))) != product(b,a)
    | difference(product(product(quotient(a,c),c),c),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(a,c),c),c),c),product(c,product(c,quotient(a,c)))) )],[refute_0_13313,refute_0_13325]) ).

cnf(refute_0_13327,plain,
    difference(product(product(quotient(a,c),c),c),c) = product(b,a),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(a,c))),product(b,a)) )],[refute_0_13324,refute_0_13326]) ).

cnf(refute_0_13328,plain,
    ( difference(product(product(quotient(a,c),c),c),c) != product(b,a)
    | difference(product(product(quotient(a,c),c),c),c) != product(c,quotient(c,b))
    | product(b,a) = product(c,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(a,c),c),c),c),product(c,quotient(c,b))) ),[0],$fot(product(b,a))]]) ).

cnf(refute_0_13329,plain,
    ( difference(product(product(quotient(a,c),c),c),c) != product(c,quotient(c,b))
    | product(b,a) = product(c,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(a,c),c),c),c),product(b,a)) )],[refute_0_13327,refute_0_13328]) ).

cnf(refute_0_13330,plain,
    product(b,a) = product(c,quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(a,c),c),c),c),product(c,quotient(c,b))) )],[refute_0_13321,refute_0_13329]) ).

cnf(refute_0_13331,plain,
    ( product(b,a) != product(c,quotient(c,b))
    | product(c,quotient(c,b)) = product(b,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,a))),bind(Y,$fot(product(c,quotient(c,b))))]]) ).

cnf(refute_0_13332,plain,
    product(c,quotient(c,b)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,a),product(c,quotient(c,b))) )],[refute_0_13330,refute_0_13331]) ).

cnf(refute_0_13333,plain,
    ( product(c,quotient(c,b)) != product(b,a)
    | product(product(c,B),product(quotient(c,b),D)) != product(product(c,quotient(c,b)),product(B,D))
    | product(product(c,B),product(quotient(c,b),D)) = product(product(b,a),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(quotient(c,b),D)),product(product(c,quotient(c,b)),product(B,D))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_13334,plain,
    ( product(product(c,B),product(quotient(c,b),D)) != product(product(c,quotient(c,b)),product(B,D))
    | product(product(c,B),product(quotient(c,b),D)) = product(product(b,a),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,b)),product(b,a)) )],[refute_0_13332,refute_0_13333]) ).

cnf(refute_0_13335,plain,
    product(product(c,B),product(quotient(c,b),D)) = product(product(b,a),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(quotient(c,b),D)),product(product(c,quotient(c,b)),product(B,D))) )],[refute_0_13312,refute_0_13334]) ).

cnf(refute_0_13336,plain,
    product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),
    inference(subst,[],[refute_0_13335:[bind(B,$fot(quotient(c,b))),bind(D,$fot(product(quotient(c,b),difference(c,product(a,c)))))]]) ).

cnf(refute_0_13337,plain,
    ( product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != difference(b,difference(c,product(b,c)))
    | product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))))
    | product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = difference(b,difference(c,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))))),bind(Y,$fot(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))))),bind(Z,$fot(difference(b,difference(c,product(b,c)))))]]) ).

cnf(refute_0_13338,plain,
    ( product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != difference(b,difference(c,product(b,c)))
    | product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = difference(b,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c)))))) )],[refute_0_13336,refute_0_13337]) ).

cnf(refute_0_13339,plain,
    product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) = difference(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),difference(b,difference(c,product(b,c)))) )],[refute_0_13311,refute_0_13338]) ).

cnf(refute_0_13340,plain,
    ( product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != difference(b,difference(c,product(b,c)))
    | product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != quotient(c,b)
    | difference(b,difference(c,product(b,c))) = quotient(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),quotient(c,b)) ),[0],$fot(difference(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_13341,plain,
    ( product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))) != quotient(c,b)
    | difference(b,difference(c,product(b,c))) = quotient(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),difference(b,difference(c,product(b,c)))) )],[refute_0_13339,refute_0_13340]) ).

cnf(refute_0_13342,plain,
    difference(b,difference(c,product(b,c))) = quotient(c,b),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(c,b)),product(quotient(c,b),product(quotient(c,b),difference(c,product(a,c))))),quotient(c,b)) )],[refute_0_12451,refute_0_13341]) ).

cnf(refute_0_13343,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | product(b,difference(b,difference(c,product(b,c)))) != difference(c,product(b,c))
    | product(b,quotient(c,b)) = difference(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) ),[0,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_13344,plain,
    ( product(b,difference(b,difference(c,product(b,c)))) != difference(c,product(b,c))
    | product(b,quotient(c,b)) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_13343]) ).

cnf(refute_0_13345,plain,
    product(b,quotient(c,b)) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) )],[refute_0_12436,refute_0_13344]) ).

cnf(refute_0_13346,plain,
    ( product(b,quotient(c,b)) != difference(c,product(b,c))
    | quotient(quotient(b,product(b,quotient(c,b))),b) != difference(b,product(quotient(c,b),b))
    | quotient(quotient(b,difference(c,product(b,c))),b) = difference(b,product(quotient(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,product(b,quotient(c,b))),b),difference(b,product(quotient(c,b),b))) ),[0,0,1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13347,plain,
    ( quotient(quotient(b,product(b,quotient(c,b))),b) != difference(b,product(quotient(c,b),b))
    | quotient(quotient(b,difference(c,product(b,c))),b) = difference(b,product(quotient(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(c,b)),difference(c,product(b,c))) )],[refute_0_13345,refute_0_13346]) ).

cnf(refute_0_13348,plain,
    quotient(quotient(b,difference(c,product(b,c))),b) = difference(b,product(quotient(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,product(b,quotient(c,b))),b),difference(b,product(quotient(c,b),b))) )],[refute_0_12435,refute_0_13347]) ).

cnf(refute_0_13349,plain,
    product(quotient(c,b),b) = c,
    inference(subst,[],[sos04:[bind(A,$fot(c)),bind(B,$fot(b))]]) ).

cnf(refute_0_13350,plain,
    difference(b,product(quotient(c,b),b)) = difference(b,product(quotient(c,b),b)),
    introduced(tautology,[refl,[$fot(difference(b,product(quotient(c,b),b)))]]) ).

cnf(refute_0_13351,plain,
    ( difference(b,product(quotient(c,b),b)) != difference(b,product(quotient(c,b),b))
    | product(quotient(c,b),b) != c
    | difference(b,product(quotient(c,b),b)) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(quotient(c,b),b)),difference(b,product(quotient(c,b),b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_13352,plain,
    ( product(quotient(c,b),b) != c
    | difference(b,product(quotient(c,b),b)) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(difference(b,product(quotient(c,b),b)),difference(b,product(quotient(c,b),b))) )],[refute_0_13350,refute_0_13351]) ).

cnf(refute_0_13353,plain,
    difference(b,product(quotient(c,b),b)) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),b),c) )],[refute_0_13349,refute_0_13352]) ).

cnf(refute_0_13354,plain,
    ( difference(b,product(quotient(c,b),b)) != difference(b,c)
    | quotient(quotient(b,difference(c,product(b,c))),b) != difference(b,product(quotient(c,b),b))
    | quotient(quotient(b,difference(c,product(b,c))),b) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),difference(b,product(quotient(c,b),b))) ),[1],$fot(difference(b,c))]]) ).

cnf(refute_0_13355,plain,
    ( quotient(quotient(b,difference(c,product(b,c))),b) != difference(b,product(quotient(c,b),b))
    | quotient(quotient(b,difference(c,product(b,c))),b) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(difference(b,product(quotient(c,b),b)),difference(b,c)) )],[refute_0_13353,refute_0_13354]) ).

cnf(refute_0_13356,plain,
    quotient(quotient(b,difference(c,product(b,c))),b) = difference(b,c),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),difference(b,product(quotient(c,b),b))) )],[refute_0_13348,refute_0_13355]) ).

cnf(refute_0_13357,plain,
    quotient(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),a)),difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(difference(c,product(b,c)))),bind(X_29,$fot(a))]]) ).

cnf(refute_0_13358,plain,
    product(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(b,a),difference(product(c,b),product(b,a))),
    inference(subst,[],[sos07:[bind(A,$fot(b)),bind(B,$fot(product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_13359,plain,
    ( product(b,product(product(b,a),difference(product(c,b),product(b,a)))) != difference(c,product(b,c))
    | product(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(b,a),difference(product(c,b),product(b,a)))) ),[0,0,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13360,plain,
    ( product(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),difference(c,product(b,c))) )],[refute_0_12537,refute_0_13359]) ).

cnf(refute_0_13361,plain,
    product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(b,a),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_13358,refute_0_13360]) ).

cnf(refute_0_13362,plain,
    product(difference(c,product(b,c)),product(a,a)) = product(difference(c,product(b,c)),product(a,a)),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,c)),product(a,a)))]]) ).

cnf(refute_0_13363,plain,
    ( product(a,a) != a
    | product(difference(c,product(b,c)),product(a,a)) != product(difference(c,product(b,c)),product(a,a))
    | product(difference(c,product(b,c)),product(a,a)) = product(difference(c,product(b,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,c)),product(a,a)),product(difference(c,product(b,c)),product(a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_13364,plain,
    ( product(a,a) != a
    | product(difference(c,product(b,c)),product(a,a)) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),product(a,a)),product(difference(c,product(b,c)),product(a,a))) )],[refute_0_13362,refute_0_13363]) ).

cnf(refute_0_13365,plain,
    product(difference(c,product(b,c)),product(a,a)) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_13364]) ).

cnf(refute_0_13366,plain,
    product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)) = product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(b)),bind(C,$fot(product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_13367,plain,
    ( product(b,product(product(b,a),difference(product(c,b),product(b,a)))) != difference(c,product(b,c))
    | product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)) != product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(B,D))
    | product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)) = product(difference(c,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)),product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(B,D))) ),[1,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13368,plain,
    ( product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)) != product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(B,D))
    | product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)) = product(difference(c,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),difference(c,product(b,c))) )],[refute_0_12537,refute_0_13367]) ).

cnf(refute_0_13369,plain,
    product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)) = product(difference(c,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(b,B),product(product(product(b,a),difference(product(c,b),product(b,a))),D)),product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),product(B,D))) )],[refute_0_13366,refute_0_13368]) ).

cnf(refute_0_13370,plain,
    product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),product(a,a)),
    inference(subst,[],[refute_0_13369:[bind(B,$fot(a)),bind(D,$fot(a))]]) ).

cnf(refute_0_13371,plain,
    ( product(difference(c,product(b,c)),product(a,a)) != product(difference(c,product(b,c)),a)
    | product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(difference(c,product(b,c)),product(a,a))
    | product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)))),bind(Y,$fot(product(difference(c,product(b,c)),product(a,a)))),bind(Z,$fot(product(difference(c,product(b,c)),a)))]]) ).

cnf(refute_0_13372,plain,
    ( product(difference(c,product(b,c)),product(a,a)) != product(difference(c,product(b,c)),a)
    | product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),product(difference(c,product(b,c)),product(a,a))) )],[refute_0_13370,refute_0_13371]) ).

cnf(refute_0_13373,plain,
    product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),product(a,a)),product(difference(c,product(b,c)),a)) )],[refute_0_13365,refute_0_13372]) ).

cnf(refute_0_13374,plain,
    product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),
    introduced(tautology,[refl,[$fot(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)))]]) ).

cnf(refute_0_13375,plain,
    ( product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a))
    | quotient(c,product(c,b)) != product(b,a)
    | product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_13376,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a))) )],[refute_0_13374,refute_0_13375]) ).

cnf(refute_0_13377,plain,
    product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_13376]) ).

cnf(refute_0_13378,plain,
    ( product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(difference(c,product(b,c)),a)
    | product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a))
    | product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)))),bind(Y,$fot(product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)))),bind(Z,$fot(product(difference(c,product(b,c)),a)))]]) ).

cnf(refute_0_13379,plain,
    ( product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(difference(c,product(b,c)),a)
    | product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a))) )],[refute_0_13377,refute_0_13378]) ).

cnf(refute_0_13380,plain,
    product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),product(difference(c,product(b,c)),a)) )],[refute_0_13373,refute_0_13379]) ).

cnf(refute_0_13381,plain,
    product(product(product(difference(X_64,B),X_64),X_64),product(X_65,X_66)) = product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(product(difference(X_64,B),X_64))),bind(B,$fot(X_64)),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_13382,plain,
    quotient(X_64,product(X_64,B)) = product(product(difference(X_64,B),X_64),X_64),
    inference(subst,[],[refute_0_753:[bind(X_18,$fot(X_64))]]) ).

cnf(refute_0_13383,plain,
    ( quotient(X_64,product(X_64,B)) != product(product(difference(X_64,B),X_64),X_64)
    | product(product(difference(X_64,B),X_64),X_64) = quotient(X_64,product(X_64,B)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(X_64,product(X_64,B)))),bind(Y,$fot(product(product(difference(X_64,B),X_64),X_64)))]]) ).

cnf(refute_0_13384,plain,
    product(product(difference(X_64,B),X_64),X_64) = quotient(X_64,product(X_64,B)),
    inference(resolve,[$cnf( $equal(quotient(X_64,product(X_64,B)),product(product(difference(X_64,B),X_64),X_64)) )],[refute_0_13382,refute_0_13383]) ).

cnf(refute_0_13385,plain,
    ( product(product(difference(X_64,B),X_64),X_64) != quotient(X_64,product(X_64,B))
    | product(product(product(difference(X_64,B),X_64),X_64),product(X_65,X_66)) != product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))
    | product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) = product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(X_64,B),X_64),X_64),product(X_65,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) ),[0,0],$fot(quotient(X_64,product(X_64,B)))]]) ).

cnf(refute_0_13386,plain,
    ( product(product(product(difference(X_64,B),X_64),X_64),product(X_65,X_66)) != product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))
    | product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) = product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_64,B),X_64),X_64),quotient(X_64,product(X_64,B))) )],[refute_0_13384,refute_0_13385]) ).

cnf(refute_0_13387,plain,
    product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) = product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(X_64,B),X_64),X_64),product(X_65,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) )],[refute_0_13381,refute_0_13386]) ).

cnf(refute_0_13388,plain,
    product(difference(X_64,B),X_64) = difference(X_64,product(B,X_64)),
    inference(subst,[],[refute_0_819:[bind(X_74,$fot(X_64))]]) ).

cnf(refute_0_13389,plain,
    product(product(difference(X_64,B),X_64),X_65) = product(product(difference(X_64,B),X_64),X_65),
    introduced(tautology,[refl,[$fot(product(product(difference(X_64,B),X_64),X_65))]]) ).

cnf(refute_0_13390,plain,
    ( product(difference(X_64,B),X_64) != difference(X_64,product(B,X_64))
    | product(product(difference(X_64,B),X_64),X_65) != product(product(difference(X_64,B),X_64),X_65)
    | product(product(difference(X_64,B),X_64),X_65) = product(difference(X_64,product(B,X_64)),X_65) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(X_64,B),X_64),X_65),product(product(difference(X_64,B),X_64),X_65)) ),[1,0],$fot(difference(X_64,product(B,X_64)))]]) ).

cnf(refute_0_13391,plain,
    ( product(difference(X_64,B),X_64) != difference(X_64,product(B,X_64))
    | product(product(difference(X_64,B),X_64),X_65) = product(difference(X_64,product(B,X_64)),X_65) ),
    inference(resolve,[$cnf( $equal(product(product(difference(X_64,B),X_64),X_65),product(product(difference(X_64,B),X_64),X_65)) )],[refute_0_13389,refute_0_13390]) ).

cnf(refute_0_13392,plain,
    product(product(difference(X_64,B),X_64),X_65) = product(difference(X_64,product(B,X_64)),X_65),
    inference(resolve,[$cnf( $equal(product(difference(X_64,B),X_64),difference(X_64,product(B,X_64))) )],[refute_0_13388,refute_0_13391]) ).

cnf(refute_0_13393,plain,
    product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) = product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)),
    introduced(tautology,[refl,[$fot(product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_13394,plain,
    ( product(product(difference(X_64,B),X_64),X_65) != product(difference(X_64,product(B,X_64)),X_65)
    | product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) != product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))
    | product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) = product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) ),[1,0],$fot(product(difference(X_64,product(B,X_64)),X_65))]]) ).

cnf(refute_0_13395,plain,
    ( product(product(difference(X_64,B),X_64),X_65) != product(difference(X_64,product(B,X_64)),X_65)
    | product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) = product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) )],[refute_0_13393,refute_0_13394]) ).

cnf(refute_0_13396,plain,
    product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) = product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(product(difference(X_64,B),X_64),X_65),product(difference(X_64,product(B,X_64)),X_65)) )],[refute_0_13392,refute_0_13395]) ).

cnf(refute_0_13397,plain,
    ( product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) != product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66))
    | product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) != product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))
    | product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) = product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(X_64,product(X_64,B)),product(X_65,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) ),[1],$fot(product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)))]]) ).

cnf(refute_0_13398,plain,
    ( product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) != product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))
    | product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) = product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)),product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66))) )],[refute_0_13396,refute_0_13397]) ).

cnf(refute_0_13399,plain,
    product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) = product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(quotient(X_64,product(X_64,B)),product(X_65,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) )],[refute_0_13387,refute_0_13398]) ).

cnf(refute_0_13400,plain,
    ( product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) != product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66))
    | product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)) = product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(quotient(X_64,product(X_64,B)),product(X_65,X_66)))),bind(Y,$fot(product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66))))]]) ).

cnf(refute_0_13401,plain,
    product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66)) = product(quotient(X_64,product(X_64,B)),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(quotient(X_64,product(X_64,B)),product(X_65,X_66)),product(product(difference(X_64,product(B,X_64)),X_65),product(X_64,X_66))) )],[refute_0_13399,refute_0_13400]) ).

cnf(refute_0_13402,plain,
    product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) = product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),
    inference(subst,[],[refute_0_13401:[bind(B,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(product(product(b,a),difference(product(c,b),product(b,a))))),bind(X_66,$fot(a))]]) ).

cnf(refute_0_13403,plain,
    ( product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) != product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a))
    | product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(difference(c,product(b,c)),a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) = product(difference(c,product(b,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)))),bind(Y,$fot(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)))),bind(Z,$fot(product(difference(c,product(b,c)),a)))]]) ).

cnf(refute_0_13404,plain,
    ( product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)) != product(difference(c,product(b,c)),a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)),product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a))) )],[refute_0_13402,refute_0_13403]) ).

cnf(refute_0_13405,plain,
    product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(quotient(c,product(c,b)),product(product(product(b,a),difference(product(c,b),product(b,a))),a)),product(difference(c,product(b,c)),a)) )],[refute_0_13380,refute_0_13404]) ).

cnf(refute_0_13406,plain,
    quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(product(b,a),product(a,c)),product(a,c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(b,a))),bind(X_16,$fot(product(a,c)))]]) ).

cnf(refute_0_13407,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(product(b,a),product(a,c)),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))),product(product(product(b,a),product(a,c)),product(a,c))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_13408,plain,
    ( quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(product(b,a),product(a,c)),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_13407]) ).

cnf(refute_0_13409,plain,
    quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))),product(product(product(b,a),product(a,c)),product(a,c))) )],[refute_0_13406,refute_0_13408]) ).

cnf(refute_0_13410,plain,
    product(product(product(b,a),product(a,c)),product(a,c)) = product(product(product(b,a),a),product(a,product(b,c))),
    inference(subst,[],[refute_0_4416:[bind(A,$fot(product(b,a))),bind(C,$fot(a))]]) ).

cnf(refute_0_13411,plain,
    ( product(product(product(b,a),product(a,c)),product(a,c)) != product(product(product(b,a),a),product(a,product(b,c)))
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(product(b,a),product(a,c)),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(product(b,a),a),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))))),bind(Y,$fot(product(product(product(b,a),product(a,c)),product(a,c)))),bind(Z,$fot(product(product(product(b,a),a),product(a,product(b,c)))))]]) ).

cnf(refute_0_13412,plain,
    ( product(product(product(b,a),product(a,c)),product(a,c)) != product(product(product(b,a),a),product(a,product(b,c)))
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(product(b,a),a),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))),product(product(product(b,a),product(a,c)),product(a,c))) )],[refute_0_13406,refute_0_13411]) ).

cnf(refute_0_13413,plain,
    quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) = product(product(product(b,a),a),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(a,c)),product(a,c)),product(product(product(b,a),a),product(a,product(b,c)))) )],[refute_0_13410,refute_0_13412]) ).

cnf(refute_0_13414,plain,
    ( quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(c,a),product(a,c))
    | quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(product(b,a),a),product(a,product(b,c)))
    | product(product(product(b,a),a),product(a,product(b,c))) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))),product(product(c,a),product(a,c))) ),[0],$fot(product(product(product(b,a),a),product(a,product(b,c))))]]) ).

cnf(refute_0_13415,plain,
    ( quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(c,a),product(a,c))
    | product(product(product(b,a),a),product(a,product(b,c))) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))),product(product(product(b,a),a),product(a,product(b,c)))) )],[refute_0_13413,refute_0_13414]) ).

cnf(refute_0_13416,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | product(product(product(b,a),a),product(a,product(b,c))) != product(product(c,a),product(a,c))
    | product(product(product(b,a),a),product(a,product(b,c))) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),a),product(a,product(b,c))),product(product(c,a),product(a,c))) ),[1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_13417,plain,
    ( product(product(product(b,a),a),product(a,product(b,c))) != product(product(c,a),product(a,c))
    | product(product(product(b,a),a),product(a,product(b,c))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(a,a,c)) )],[refute_0_8698,refute_0_13416]) ).

cnf(refute_0_13418,plain,
    ( quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))) != product(product(c,a),product(a,c))
    | product(product(product(b,a),a),product(a,product(b,c))) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),product(a,product(b,c))),product(product(c,a),product(a,c))) )],[refute_0_13415,refute_0_13417]) ).

cnf(refute_0_13419,plain,
    product(product(product(b,a),a),product(a,product(b,c))) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(product(a,c),product(product(a,c),product(b,a)))),product(product(c,a),product(a,c))) )],[refute_0_13409,refute_0_13418]) ).

cnf(refute_0_13420,plain,
    product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_13421,plain,
    ( product(difference(product(c,b),product(b,a)),b) != product(a,product(b,c))
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) != product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = product(product(product(b,a),a),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13422,plain,
    ( product(difference(product(c,b),product(b,a)),b) != product(a,product(b,c))
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = product(product(product(b,a),a),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) )],[refute_0_13420,refute_0_13421]) ).

cnf(refute_0_13423,plain,
    product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = product(product(product(b,a),a),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),b),product(a,product(b,c))) )],[refute_0_12591,refute_0_13422]) ).

cnf(refute_0_13424,plain,
    ( product(product(product(b,a),a),product(a,product(b,c))) != bigC(a,a,c)
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) != product(product(product(b,a),a),product(a,product(b,c)))
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))),bind(Y,$fot(product(product(product(b,a),a),product(a,product(b,c))))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_13425,plain,
    ( product(product(product(b,a),a),product(a,product(b,c))) != bigC(a,a,c)
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)),product(product(product(b,a),a),product(a,product(b,c)))) )],[refute_0_13423,refute_0_13424]) ).

cnf(refute_0_13426,plain,
    product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),product(a,product(b,c))),bigC(a,a,c)) )],[refute_0_13419,refute_0_13425]) ).

cnf(refute_0_13427,plain,
    product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))))]]) ).

cnf(refute_0_13428,plain,
    ( product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) != bigC(a,a,c)
    | product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_13429,plain,
    ( product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)) != bigC(a,a,c)
    | product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) )],[refute_0_13427,refute_0_13428]) ).

cnf(refute_0_13430,plain,
    product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)),bigC(a,a,c)) )],[refute_0_13426,refute_0_13429]) ).

cnf(refute_0_13431,plain,
    product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))))]]) ).

cnf(refute_0_13432,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_13433,plain,
    ( product(product(b,a),c) != product(c,product(c,a))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) )],[refute_0_13431,refute_0_13432]) ).

cnf(refute_0_13434,plain,
    product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_13433]) ).

cnf(refute_0_13435,plain,
    ( product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(product(c,product(c,a)),bigC(a,a,c))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))))),bind(Y,$fot(product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))))),bind(Z,$fot(product(product(c,product(c,a)),bigC(a,a,c))))]]) ).

cnf(refute_0_13436,plain,
    ( product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(product(c,product(c,a)),bigC(a,a,c))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) )],[refute_0_13434,refute_0_13435]) ).

cnf(refute_0_13437,plain,
    product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(product(c,product(c,a)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(c,product(c,a)),bigC(a,a,c))) )],[refute_0_13430,refute_0_13436]) ).

cnf(refute_0_13438,plain,
    ( product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(product(c,product(c,a)),bigC(a,a,c))
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))))),bind(Y,$fot(product(product(c,product(c,a)),bigC(a,a,c)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_13439,plain,
    ( product(product(c,product(c,a)),bigC(a,a,c)) != product(c,a)
    | product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(product(c,product(c,a)),bigC(a,a,c))) )],[refute_0_13437,refute_0_13438]) ).

cnf(refute_0_13440,plain,
    product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),bigC(a,a,c)),product(c,a)) )],[refute_0_7286,refute_0_13439]) ).

cnf(refute_0_13441,plain,
    product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b))) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(product(b,a),c))),bind(X_63,$fot(product(b,a))),bind(X_64,$fot(a)),bind(X_65,$fot(difference(product(c,b),product(b,a)))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_13442,plain,
    product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) = product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b))),
    inference(subst,[],[refute_0_12600:[bind(A,$fot(product(b,a))),bind(C,$fot(product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_13443,plain,
    ( product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b))) != product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) != product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b)))
    | product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))))),bind(Y,$fot(product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b))))),bind(Z,$fot(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))))]]) ).

cnf(refute_0_13444,plain,
    ( product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b))) != product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))),product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b)))) )],[refute_0_13442,refute_0_13443]) ).

cnf(refute_0_13445,plain,
    product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),product(product(product(b,a),difference(product(c,b),product(b,a))),product(a,b))),product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) )],[refute_0_13441,refute_0_13444]) ).

cnf(refute_0_13446,plain,
    product(product(A,difference(product(c,b),product(b,a))),product(C,b)) = product(product(A,C),product(difference(product(c,b),product(b,a)),b)),
    inference(subst,[],[sos05:[bind(B,$fot(difference(product(c,b),product(b,a)))),bind(D,$fot(b))]]) ).

cnf(refute_0_13447,plain,
    ( product(difference(product(c,b),product(b,a)),b) != product(a,product(b,c))
    | product(product(A,difference(product(c,b),product(b,a))),product(C,b)) != product(product(A,C),product(difference(product(c,b),product(b,a)),b))
    | product(product(A,difference(product(c,b),product(b,a))),product(C,b)) = product(product(A,C),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,difference(product(c,b),product(b,a))),product(C,b)),product(product(A,C),product(difference(product(c,b),product(b,a)),b))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_13448,plain,
    ( product(product(A,difference(product(c,b),product(b,a))),product(C,b)) != product(product(A,C),product(difference(product(c,b),product(b,a)),b))
    | product(product(A,difference(product(c,b),product(b,a))),product(C,b)) = product(product(A,C),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),b),product(a,product(b,c))) )],[refute_0_12591,refute_0_13447]) ).

cnf(refute_0_13449,plain,
    product(product(A,difference(product(c,b),product(b,a))),product(C,b)) = product(product(A,C),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(A,difference(product(c,b),product(b,a))),product(C,b)),product(product(A,C),product(difference(product(c,b),product(b,a)),b))) )],[refute_0_13446,refute_0_13448]) ).

cnf(refute_0_13450,plain,
    product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))),
    inference(subst,[],[refute_0_13449:[bind(A,$fot(product(b,a))),bind(C,$fot(product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_13451,plain,
    ( product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) != product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c)))
    | product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) != product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)))),bind(Y,$fot(product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))))),bind(Z,$fot(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))))]]) ).

cnf(refute_0_13452,plain,
    ( product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))) != product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)),product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c)))) )],[refute_0_13450,refute_0_13451]) ).

cnf(refute_0_13453,plain,
    product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(product(b,a),difference(product(c,b),product(b,a)))),product(a,product(b,c))),product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) )],[refute_0_13445,refute_0_13452]) ).

cnf(refute_0_13454,plain,
    ( product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(c,a)
    | product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) != product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))
    | product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)))),bind(Y,$fot(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_13455,plain,
    ( product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))) != product(c,a)
    | product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)),product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b)))) )],[refute_0_13453,refute_0_13454]) ).

cnf(refute_0_13456,plain,
    product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),c),product(product(product(b,a),a),product(difference(product(c,b),product(b,a)),b))),product(c,a)) )],[refute_0_13440,refute_0_13455]) ).

cnf(refute_0_13457,plain,
    product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),
    introduced(tautology,[refl,[$fot(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))))]]) ).

cnf(refute_0_13458,plain,
    ( product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)))
    | product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) != product(c,a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_13459,plain,
    ( product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)) != product(c,a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)))) )],[refute_0_13457,refute_0_13458]) ).

cnf(refute_0_13460,plain,
    product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b)),product(c,a)) )],[refute_0_13456,refute_0_13459]) ).

cnf(refute_0_13461,plain,
    ( product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) != product(difference(c,product(b,c)),a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a))
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(difference(c,product(b,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))))),bind(Y,$fot(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)))),bind(Z,$fot(product(difference(c,product(b,c)),a)))]]) ).

cnf(refute_0_13462,plain,
    ( product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)) != product(difference(c,product(b,c)),a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a))) )],[refute_0_13460,refute_0_13461]) ).

cnf(refute_0_13463,plain,
    product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(c,a)),product(difference(c,product(b,c)),a)) )],[refute_0_13405,refute_0_13462]) ).

cnf(refute_0_13464,plain,
    ( product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(difference(c,product(b,c)),a)
    | product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(difference(c,product(b,c)),a) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(b,a),difference(product(c,b),product(b,a)))) ),[0],$fot(product(difference(c,product(b,c)),a))]]) ).

cnf(refute_0_13465,plain,
    ( product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(difference(c,product(b,c)),a) = product(product(b,a),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(difference(c,product(b,c)),a)) )],[refute_0_13463,refute_0_13464]) ).

cnf(refute_0_13466,plain,
    product(difference(c,product(b,c)),a) = product(product(b,a),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),product(product(b,a),difference(product(c,b),product(b,a)))),product(product(product(b,a),difference(product(c,b),product(b,a))),product(product(product(b,a),difference(product(c,b),product(b,a))),b))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_13361,refute_0_13465]) ).

cnf(refute_0_13467,plain,
    ( product(difference(c,product(b,c)),a) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(product(b,a),difference(product(c,b),product(b,a))) = product(difference(c,product(b,c)),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(difference(c,product(b,c)),a))),bind(Y,$fot(product(product(b,a),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_13468,plain,
    product(product(b,a),difference(product(c,b),product(b,a))) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),a),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_13466,refute_0_13467]) ).

cnf(refute_0_13469,plain,
    ( difference(b,difference(c,product(b,c))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | product(product(b,a),difference(product(c,b),product(b,a))) != product(difference(c,product(b,c)),a)
    | difference(b,difference(c,product(b,c))) = product(difference(c,product(b,c)),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(b,difference(c,product(b,c))),product(difference(c,product(b,c)),a)) ),[0],$fot(product(product(b,a),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_13470,plain,
    ( difference(b,difference(c,product(b,c))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | difference(b,difference(c,product(b,c))) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),product(difference(c,product(b,c)),a)) )],[refute_0_13468,refute_0_13469]) ).

cnf(refute_0_13471,plain,
    difference(b,difference(c,product(b,c))) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_12540,refute_0_13470]) ).

cnf(refute_0_13472,plain,
    ( difference(b,difference(c,product(b,c))) != product(difference(c,product(b,c)),a)
    | product(difference(c,product(b,c)),a) = difference(b,difference(c,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,difference(c,product(b,c))))),bind(Y,$fot(product(difference(c,product(b,c)),a)))]]) ).

cnf(refute_0_13473,plain,
    product(difference(c,product(b,c)),a) = difference(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),product(difference(c,product(b,c)),a)) )],[refute_0_13471,refute_0_13472]) ).

cnf(refute_0_13474,plain,
    ( product(difference(c,product(b,c)),a) != difference(b,difference(c,product(b,c)))
    | quotient(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),a)),difference(c,product(b,c))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),a)),difference(c,product(b,c))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) ),[0,0,1],$fot(difference(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_13475,plain,
    ( quotient(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),a)),difference(c,product(b,c))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),a),difference(b,difference(c,product(b,c)))) )],[refute_0_13473,refute_0_13474]) ).

cnf(refute_0_13476,plain,
    quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),a)),difference(c,product(b,c))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) )],[refute_0_13357,refute_0_13475]) ).

cnf(refute_0_13477,plain,
    quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))) = b,
    inference(subst,[],[refute_0_362:[bind(B,$fot(difference(c,product(b,c)))),bind(X_6,$fot(b))]]) ).

cnf(refute_0_13478,plain,
    quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))))]]) ).

cnf(refute_0_13479,plain,
    ( quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))) != b
    | quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) != quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c)))
    | quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = quotient(b,difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))),quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c)))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_13480,plain,
    ( quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))) != b
    | quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = quotient(b,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))),quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c)))) )],[refute_0_13478,refute_0_13479]) ).

cnf(refute_0_13481,plain,
    quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) = quotient(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),b) )],[refute_0_13477,refute_0_13480]) ).

cnf(refute_0_13482,plain,
    ( quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) != quotient(b,difference(c,product(b,c)))
    | quotient(b,difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) ),[0],$fot(quotient(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_13483,plain,
    ( quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | quotient(b,difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))),quotient(b,difference(c,product(b,c)))) )],[refute_0_13481,refute_0_13482]) ).

cnf(refute_0_13484,plain,
    quotient(b,difference(c,product(b,c))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),difference(b,difference(c,product(b,c)))),difference(c,product(b,c))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) )],[refute_0_13476,refute_0_13483]) ).

cnf(refute_0_13485,plain,
    difference(quotient(c,difference(c,product(a,b))),c) = difference(c,product(a,b)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(difference(c,product(a,b)))),bind(X_9,$fot(c))]]) ).

cnf(refute_0_13486,plain,
    product(quotient(quotient(c,difference(c,product(a,b))),c),c) = quotient(c,difference(c,product(a,b))),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(c,difference(c,product(a,b))))),bind(B,$fot(c))]]) ).

cnf(refute_0_13487,plain,
    quotient(quotient(c,product(c,quotient(b,c))),c) = difference(c,product(quotient(b,c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(quotient(b,c)))]]) ).

cnf(refute_0_13488,plain,
    ( product(c,quotient(b,c)) != difference(c,product(a,b))
    | quotient(quotient(c,product(c,quotient(b,c))),c) != difference(c,product(quotient(b,c),c))
    | quotient(quotient(c,difference(c,product(a,b))),c) = difference(c,product(quotient(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,quotient(b,c))),c),difference(c,product(quotient(b,c),c))) ),[0,0,1],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_13489,plain,
    ( quotient(quotient(c,product(c,quotient(b,c))),c) != difference(c,product(quotient(b,c),c))
    | quotient(quotient(c,difference(c,product(a,b))),c) = difference(c,product(quotient(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_12363,refute_0_13488]) ).

cnf(refute_0_13490,plain,
    quotient(quotient(c,difference(c,product(a,b))),c) = difference(c,product(quotient(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,quotient(b,c))),c),difference(c,product(quotient(b,c),c))) )],[refute_0_13487,refute_0_13489]) ).

cnf(refute_0_13491,plain,
    product(quotient(b,c),c) = b,
    inference(subst,[],[sos04:[bind(A,$fot(b)),bind(B,$fot(c))]]) ).

cnf(refute_0_13492,plain,
    difference(c,product(quotient(b,c),c)) = difference(c,product(quotient(b,c),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(b,c),c)))]]) ).

cnf(refute_0_13493,plain,
    ( difference(c,product(quotient(b,c),c)) != difference(c,product(quotient(b,c),c))
    | product(quotient(b,c),c) != b
    | difference(c,product(quotient(b,c),c)) = difference(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(b,c),c)),difference(c,product(quotient(b,c),c))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_13494,plain,
    ( product(quotient(b,c),c) != b
    | difference(c,product(quotient(b,c),c)) = difference(c,b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(b,c),c)),difference(c,product(quotient(b,c),c))) )],[refute_0_13492,refute_0_13493]) ).

cnf(refute_0_13495,plain,
    difference(c,product(quotient(b,c),c)) = difference(c,b),
    inference(resolve,[$cnf( $equal(product(quotient(b,c),c),b) )],[refute_0_13491,refute_0_13494]) ).

cnf(refute_0_13496,plain,
    ( difference(c,product(quotient(b,c),c)) != difference(c,b)
    | quotient(quotient(c,difference(c,product(a,b))),c) != difference(c,product(quotient(b,c),c))
    | quotient(quotient(c,difference(c,product(a,b))),c) = difference(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),c),difference(c,product(quotient(b,c),c))) ),[1],$fot(difference(c,b))]]) ).

cnf(refute_0_13497,plain,
    ( quotient(quotient(c,difference(c,product(a,b))),c) != difference(c,product(quotient(b,c),c))
    | quotient(quotient(c,difference(c,product(a,b))),c) = difference(c,b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(b,c),c)),difference(c,b)) )],[refute_0_13495,refute_0_13496]) ).

cnf(refute_0_13498,plain,
    quotient(quotient(c,difference(c,product(a,b))),c) = difference(c,b),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),c),difference(c,product(quotient(b,c),c))) )],[refute_0_13490,refute_0_13497]) ).

cnf(refute_0_13499,plain,
    ( product(quotient(quotient(c,difference(c,product(a,b))),c),c) != quotient(c,difference(c,product(a,b)))
    | quotient(quotient(c,difference(c,product(a,b))),c) != difference(c,b)
    | product(difference(c,b),c) = quotient(c,difference(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(c,difference(c,product(a,b))),c),c),quotient(c,difference(c,product(a,b)))) ),[0,0],$fot(difference(c,b))]]) ).

cnf(refute_0_13500,plain,
    ( product(quotient(quotient(c,difference(c,product(a,b))),c),c) != quotient(c,difference(c,product(a,b)))
    | product(difference(c,b),c) = quotient(c,difference(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),c),difference(c,b)) )],[refute_0_13498,refute_0_13499]) ).

cnf(refute_0_13501,plain,
    product(difference(c,b),c) = quotient(c,difference(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,difference(c,product(a,b))),c),c),quotient(c,difference(c,product(a,b)))) )],[refute_0_13486,refute_0_13500]) ).

cnf(refute_0_13502,plain,
    product(difference(c,b),c) = difference(c,product(b,c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(b)),bind(X_74,$fot(c))]]) ).

cnf(refute_0_13503,plain,
    ( product(difference(c,b),c) != difference(c,product(b,c))
    | product(difference(c,b),c) != quotient(c,difference(c,product(a,b)))
    | difference(c,product(b,c)) = quotient(c,difference(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,b),c),quotient(c,difference(c,product(a,b)))) ),[0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13504,plain,
    ( product(difference(c,b),c) != quotient(c,difference(c,product(a,b)))
    | difference(c,product(b,c)) = quotient(c,difference(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,b),c),difference(c,product(b,c))) )],[refute_0_13502,refute_0_13503]) ).

cnf(refute_0_13505,plain,
    difference(c,product(b,c)) = quotient(c,difference(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(difference(c,b),c),quotient(c,difference(c,product(a,b)))) )],[refute_0_13501,refute_0_13504]) ).

cnf(refute_0_13506,plain,
    ( difference(c,product(b,c)) != quotient(c,difference(c,product(a,b)))
    | quotient(c,difference(c,product(a,b))) = difference(c,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(b,c)))),bind(Y,$fot(quotient(c,difference(c,product(a,b)))))]]) ).

cnf(refute_0_13507,plain,
    quotient(c,difference(c,product(a,b))) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),quotient(c,difference(c,product(a,b)))) )],[refute_0_13505,refute_0_13506]) ).

cnf(refute_0_13508,plain,
    ( difference(quotient(c,difference(c,product(a,b))),c) != difference(c,product(a,b))
    | quotient(c,difference(c,product(a,b))) != difference(c,product(b,c))
    | difference(difference(c,product(b,c)),c) = difference(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,difference(c,product(a,b))),c),difference(c,product(a,b))) ),[0,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13509,plain,
    ( difference(quotient(c,difference(c,product(a,b))),c) != difference(c,product(a,b))
    | difference(difference(c,product(b,c)),c) = difference(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(a,b))),difference(c,product(b,c))) )],[refute_0_13507,refute_0_13508]) ).

cnf(refute_0_13510,plain,
    difference(difference(c,product(b,c)),c) = difference(c,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(quotient(c,difference(c,product(a,b))),c),difference(c,product(a,b))) )],[refute_0_13485,refute_0_13509]) ).

cnf(refute_0_13511,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | difference(difference(c,product(b,c)),c) != difference(c,product(a,b))
    | difference(difference(c,product(b,c)),c) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),c),difference(c,product(a,b))) ),[1],$fot(quotient(c,a))]]) ).

cnf(refute_0_13512,plain,
    ( difference(difference(c,product(b,c)),c) != difference(c,product(a,b))
    | difference(difference(c,product(b,c)),c) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_13511]) ).

cnf(refute_0_13513,plain,
    difference(difference(c,product(b,c)),c) = quotient(c,a),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),c),difference(c,product(a,b))) )],[refute_0_13510,refute_0_13512]) ).

cnf(refute_0_13514,plain,
    difference(product(b,c),product(product(b,c),c)) = c,
    inference(subst,[],[sos01:[bind(A,$fot(product(b,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_13515,plain,
    ( difference(product(b,c),product(product(b,c),c)) != c
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(product(b,c),product(b,product(a,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(product(b,c),c)),c) ),[0,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_13516,plain,
    ( difference(product(b,c),product(product(b,c),c)) != c
    | difference(product(b,c),product(b,product(a,c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_13515]) ).

cnf(refute_0_13517,plain,
    difference(product(b,c),product(b,product(a,c))) = c,
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,c),c)),c) )],[refute_0_13514,refute_0_13516]) ).

cnf(refute_0_13518,plain,
    difference(product(difference(c,product(b,c)),b),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(difference(c,product(b,c)))),bind(X_22,$fot(b))]]) ).

cnf(refute_0_13519,plain,
    bigC(quotient(difference(c,product(b,c)),c),c,c) = product(difference(c,product(b,c)),product(c,quotient(difference(c,product(b,c)),c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(difference(c,product(b,c)))),bind(X_22,$fot(c)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_13520,plain,
    difference(c,difference(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c)) = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(product(b,product(product(b,a),difference(product(c,b),product(b,a))))))]]) ).

cnf(refute_0_13521,plain,
    ( difference(c,difference(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c)) != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) != product(b,a)
    | difference(c,difference(product(b,a),c)) = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c)),product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) ),[0,1,0],$fot(product(b,a))]]) ).

cnf(refute_0_13522,plain,
    ( difference(c,difference(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c)) != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | difference(c,difference(product(b,a),c)) = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),product(b,a)) )],[refute_0_12529,refute_0_13521]) ).

cnf(refute_0_13523,plain,
    difference(c,difference(product(b,a),c)) = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),c)),product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) )],[refute_0_13520,refute_0_13522]) ).

cnf(refute_0_13524,plain,
    difference(c,difference(product(b,a),c)) = difference(c,difference(product(b,a),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(product(b,a),c)))]]) ).

cnf(refute_0_13525,plain,
    ( difference(c,difference(product(b,a),c)) != difference(c,difference(product(b,a),c))
    | difference(product(b,a),c) != product(c,b)
    | difference(c,difference(product(b,a),c)) = difference(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(b,a),c)),difference(c,difference(product(b,a),c))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_13526,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(c,difference(product(b,a),c)) = difference(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(b,a),c)),difference(c,difference(product(b,a),c))) )],[refute_0_13524,refute_0_13525]) ).

cnf(refute_0_13527,plain,
    difference(c,difference(product(b,a),c)) = difference(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_3375,refute_0_13526]) ).

cnf(refute_0_13528,plain,
    ( difference(c,difference(product(b,a),c)) != difference(c,product(c,b))
    | difference(c,product(c,b)) != b
    | difference(c,difference(product(b,a),c)) = b ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,difference(product(b,a),c)))),bind(Y,$fot(difference(c,product(c,b)))),bind(Z,$fot(b))]]) ).

cnf(refute_0_13529,plain,
    ( difference(c,product(c,b)) != b
    | difference(c,difference(product(b,a),c)) = b ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(b,a),c)),difference(c,product(c,b))) )],[refute_0_13527,refute_0_13528]) ).

cnf(refute_0_13530,plain,
    difference(c,difference(product(b,a),c)) = b,
    inference(resolve,[$cnf( $equal(difference(c,product(c,b)),b) )],[refute_0_2517,refute_0_13529]) ).

cnf(refute_0_13531,plain,
    ( difference(c,difference(product(b,a),c)) != b
    | difference(c,difference(product(b,a),c)) != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | b = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(b,a),c)),product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) ),[0],$fot(b)]]) ).

cnf(refute_0_13532,plain,
    ( difference(c,difference(product(b,a),c)) != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | b = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(b,a),c)),b) )],[refute_0_13530,refute_0_13531]) ).

cnf(refute_0_13533,plain,
    b = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(b,a),c)),product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) )],[refute_0_13523,refute_0_13532]) ).

cnf(refute_0_13534,plain,
    quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),
    introduced(tautology,[refl,[$fot(quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))]]) ).

cnf(refute_0_13535,plain,
    ( product(b,product(product(b,a),difference(product(c,b),product(b,a)))) != difference(c,product(b,c))
    | quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) != quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)
    | quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = quotient(difference(c,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) ),[1,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13536,plain,
    ( product(b,product(product(b,a),difference(product(c,b),product(b,a)))) != difference(c,product(b,c))
    | quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = quotient(difference(c,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) )],[refute_0_13534,refute_0_13535]) ).

cnf(refute_0_13537,plain,
    quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) = quotient(difference(c,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),difference(c,product(b,c))) )],[refute_0_12537,refute_0_13536]) ).

cnf(refute_0_13538,plain,
    product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) = product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)))]]) ).

cnf(refute_0_13539,plain,
    ( product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) != quotient(difference(c,product(b,c)),c)
    | product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) = product(c,quotient(difference(c,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) ),[1,1],$fot(quotient(difference(c,product(b,c)),c))]]) ).

cnf(refute_0_13540,plain,
    ( quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c) != quotient(difference(c,product(b,c)),c)
    | product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) = product(c,quotient(difference(c,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) )],[refute_0_13538,refute_0_13539]) ).

cnf(refute_0_13541,plain,
    product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) = product(c,quotient(difference(c,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c),quotient(difference(c,product(b,c)),c)) )],[refute_0_13537,refute_0_13540]) ).

cnf(refute_0_13542,plain,
    ( b != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)) != product(c,quotient(difference(c,product(b,c)),c))
    | b = product(c,quotient(difference(c,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(b,product(c,quotient(difference(c,product(b,c)),c))) ),[0],$fot(product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)))]]) ).

cnf(refute_0_13543,plain,
    ( b != product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))
    | b = product(c,quotient(difference(c,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c)),product(c,quotient(difference(c,product(b,c)),c))) )],[refute_0_13541,refute_0_13542]) ).

cnf(refute_0_13544,plain,
    b = product(c,quotient(difference(c,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(b,product(c,quotient(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),c))) )],[refute_0_13533,refute_0_13543]) ).

cnf(refute_0_13545,plain,
    ( b != product(c,quotient(difference(c,product(b,c)),c))
    | product(c,quotient(difference(c,product(b,c)),c)) = b ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(b)),bind(Y,$fot(product(c,quotient(difference(c,product(b,c)),c))))]]) ).

cnf(refute_0_13546,plain,
    product(c,quotient(difference(c,product(b,c)),c)) = b,
    inference(resolve,[$cnf( $equal(b,product(c,quotient(difference(c,product(b,c)),c))) )],[refute_0_13544,refute_0_13545]) ).

cnf(refute_0_13547,plain,
    ( bigC(quotient(difference(c,product(b,c)),c),c,c) != product(difference(c,product(b,c)),product(c,quotient(difference(c,product(b,c)),c)))
    | product(c,quotient(difference(c,product(b,c)),c)) != b
    | bigC(quotient(difference(c,product(b,c)),c),c,c) = product(difference(c,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),product(difference(c,product(b,c)),product(c,quotient(difference(c,product(b,c)),c)))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_13548,plain,
    ( bigC(quotient(difference(c,product(b,c)),c),c,c) != product(difference(c,product(b,c)),product(c,quotient(difference(c,product(b,c)),c)))
    | bigC(quotient(difference(c,product(b,c)),c),c,c) = product(difference(c,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(c,product(b,c)),c)),b) )],[refute_0_13546,refute_0_13547]) ).

cnf(refute_0_13549,plain,
    bigC(quotient(difference(c,product(b,c)),c),c,c) = product(difference(c,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),product(difference(c,product(b,c)),product(c,quotient(difference(c,product(b,c)),c)))) )],[refute_0_13519,refute_0_13548]) ).

cnf(refute_0_13550,plain,
    difference(c,product(c,quotient(difference(c,product(b,c)),c))) = quotient(difference(c,product(b,c)),c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(difference(c,product(b,c)),c)))]]) ).

cnf(refute_0_13551,plain,
    ( difference(c,product(c,quotient(difference(c,product(b,c)),c))) != quotient(difference(c,product(b,c)),c)
    | product(c,quotient(difference(c,product(b,c)),c)) != b
    | difference(c,b) = quotient(difference(c,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(difference(c,product(b,c)),c))),quotient(difference(c,product(b,c)),c)) ),[0,1],$fot(b)]]) ).

cnf(refute_0_13552,plain,
    ( difference(c,product(c,quotient(difference(c,product(b,c)),c))) != quotient(difference(c,product(b,c)),c)
    | difference(c,b) = quotient(difference(c,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(c,product(b,c)),c)),b) )],[refute_0_13546,refute_0_13551]) ).

cnf(refute_0_13553,plain,
    difference(c,b) = quotient(difference(c,product(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(difference(c,product(b,c)),c))),quotient(difference(c,product(b,c)),c)) )],[refute_0_13550,refute_0_13552]) ).

cnf(refute_0_13554,plain,
    ( difference(c,b) != quotient(difference(c,product(b,c)),c)
    | quotient(difference(c,product(b,c)),c) = difference(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,b))),bind(Y,$fot(quotient(difference(c,product(b,c)),c)))]]) ).

cnf(refute_0_13555,plain,
    quotient(difference(c,product(b,c)),c) = difference(c,b),
    inference(resolve,[$cnf( $equal(difference(c,b),quotient(difference(c,product(b,c)),c)) )],[refute_0_13553,refute_0_13554]) ).

cnf(refute_0_13556,plain,
    bigC(quotient(difference(c,product(b,c)),c),c,c) = bigC(quotient(difference(c,product(b,c)),c),c,c),
    introduced(tautology,[refl,[$fot(bigC(quotient(difference(c,product(b,c)),c),c,c))]]) ).

cnf(refute_0_13557,plain,
    ( bigC(quotient(difference(c,product(b,c)),c),c,c) != bigC(quotient(difference(c,product(b,c)),c),c,c)
    | quotient(difference(c,product(b,c)),c) != difference(c,b)
    | bigC(quotient(difference(c,product(b,c)),c),c,c) = bigC(difference(c,b),c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),bigC(quotient(difference(c,product(b,c)),c),c,c)) ),[1,0],$fot(difference(c,b))]]) ).

cnf(refute_0_13558,plain,
    ( quotient(difference(c,product(b,c)),c) != difference(c,b)
    | bigC(quotient(difference(c,product(b,c)),c),c,c) = bigC(difference(c,b),c,c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),bigC(quotient(difference(c,product(b,c)),c),c,c)) )],[refute_0_13556,refute_0_13557]) ).

cnf(refute_0_13559,plain,
    bigC(quotient(difference(c,product(b,c)),c),c,c) = bigC(difference(c,b),c,c),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),c),difference(c,b)) )],[refute_0_13555,refute_0_13558]) ).

cnf(refute_0_13560,plain,
    ( bigC(quotient(difference(c,product(b,c)),c),c,c) != bigC(difference(c,b),c,c)
    | bigC(quotient(difference(c,product(b,c)),c),c,c) != product(difference(c,product(b,c)),b)
    | bigC(difference(c,b),c,c) = product(difference(c,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),product(difference(c,product(b,c)),b)) ),[0],$fot(bigC(difference(c,b),c,c))]]) ).

cnf(refute_0_13561,plain,
    ( bigC(quotient(difference(c,product(b,c)),c),c,c) != product(difference(c,product(b,c)),b)
    | bigC(difference(c,b),c,c) = product(difference(c,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),bigC(difference(c,b),c,c)) )],[refute_0_13559,refute_0_13560]) ).

cnf(refute_0_13562,plain,
    bigC(difference(c,b),c,c) = product(difference(c,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(c,product(b,c)),c),c,c),product(difference(c,product(b,c)),b)) )],[refute_0_13549,refute_0_13561]) ).

cnf(refute_0_13563,plain,
    ( bigC(difference(c,b),c,c) != product(difference(c,product(b,c)),b)
    | product(difference(c,product(b,c)),b) = bigC(difference(c,b),c,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(difference(c,b),c,c))),bind(Y,$fot(product(difference(c,product(b,c)),b)))]]) ).

cnf(refute_0_13564,plain,
    product(difference(c,product(b,c)),b) = bigC(difference(c,b),c,c),
    inference(resolve,[$cnf( $equal(bigC(difference(c,b),c,c),product(difference(c,product(b,c)),b)) )],[refute_0_13562,refute_0_13563]) ).

cnf(refute_0_13565,plain,
    ( difference(product(difference(c,product(b,c)),b),bigC(difference(c,product(b,c)),b,X_23)) != product(X_23,difference(c,product(b,c)))
    | product(difference(c,product(b,c)),b) != bigC(difference(c,b),c,c)
    | difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,product(b,c)),b),bigC(difference(c,product(b,c)),b,X_23)),product(X_23,difference(c,product(b,c)))) ),[0,0],$fot(bigC(difference(c,b),c,c))]]) ).

cnf(refute_0_13566,plain,
    ( difference(product(difference(c,product(b,c)),b),bigC(difference(c,product(b,c)),b,X_23)) != product(X_23,difference(c,product(b,c)))
    | difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),b),bigC(difference(c,b),c,c)) )],[refute_0_13564,refute_0_13565]) ).

cnf(refute_0_13567,plain,
    difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,product(b,c)),b),bigC(difference(c,product(b,c)),b,X_23)),product(X_23,difference(c,product(b,c)))) )],[refute_0_13518,refute_0_13566]) ).

cnf(refute_0_13568,plain,
    bigC(b,quotient(c,b),b) = product(product(b,quotient(c,b)),b),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(b)),bind(X_22,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13569,plain,
    ( bigC(b,quotient(c,b),b) != product(product(b,quotient(c,b)),b)
    | product(b,quotient(c,b)) != difference(c,product(b,c))
    | bigC(b,quotient(c,b),b) = product(difference(c,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,quotient(c,b),b),product(product(b,quotient(c,b)),b)) ),[1,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13570,plain,
    ( bigC(b,quotient(c,b),b) != product(product(b,quotient(c,b)),b)
    | bigC(b,quotient(c,b),b) = product(difference(c,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(c,b)),difference(c,product(b,c))) )],[refute_0_13345,refute_0_13569]) ).

cnf(refute_0_13571,plain,
    bigC(b,quotient(c,b),b) = product(difference(c,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,b),b),product(product(b,quotient(c,b)),b)) )],[refute_0_13568,refute_0_13570]) ).

cnf(refute_0_13572,plain,
    bigC(b,quotient(c,b),b) = product(product(b,b),c),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(c)),bind(X_21,$fot(b)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_13573,plain,
    ( bigC(b,quotient(c,b),b) != product(product(b,b),c)
    | product(product(b,b),c) != product(b,c)
    | bigC(b,quotient(c,b),b) = product(b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,quotient(c,b),b))),bind(Y,$fot(product(product(b,b),c))),bind(Z,$fot(product(b,c)))]]) ).

cnf(refute_0_13574,plain,
    ( product(product(b,b),c) != product(b,c)
    | bigC(b,quotient(c,b),b) = product(b,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,b),b),product(product(b,b),c)) )],[refute_0_13572,refute_0_13573]) ).

cnf(refute_0_13575,plain,
    bigC(b,quotient(c,b),b) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(b,b),c),product(b,c)) )],[refute_0_11528,refute_0_13574]) ).

cnf(refute_0_13576,plain,
    ( bigC(b,quotient(c,b),b) != product(b,c)
    | bigC(b,quotient(c,b),b) != product(difference(c,product(b,c)),b)
    | product(b,c) = product(difference(c,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,quotient(c,b),b),product(difference(c,product(b,c)),b)) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_13577,plain,
    ( bigC(b,quotient(c,b),b) != product(difference(c,product(b,c)),b)
    | product(b,c) = product(difference(c,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,b),b),product(b,c)) )],[refute_0_13575,refute_0_13576]) ).

cnf(refute_0_13578,plain,
    ( product(b,c) != product(difference(c,product(b,c)),b)
    | product(difference(c,product(b,c)),b) != bigC(difference(c,b),c,c)
    | product(b,c) = bigC(difference(c,b),c,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,c),bigC(difference(c,b),c,c)) ),[0],$fot(product(difference(c,product(b,c)),b))]]) ).

cnf(refute_0_13579,plain,
    ( product(b,c) != product(difference(c,product(b,c)),b)
    | product(b,c) = bigC(difference(c,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),b),bigC(difference(c,b),c,c)) )],[refute_0_13564,refute_0_13578]) ).

cnf(refute_0_13580,plain,
    ( bigC(b,quotient(c,b),b) != product(difference(c,product(b,c)),b)
    | product(b,c) = bigC(difference(c,b),c,c) ),
    inference(resolve,[$cnf( $equal(product(b,c),product(difference(c,product(b,c)),b)) )],[refute_0_13577,refute_0_13579]) ).

cnf(refute_0_13581,plain,
    product(b,c) = bigC(difference(c,b),c,c),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,b),b),product(difference(c,product(b,c)),b)) )],[refute_0_13571,refute_0_13580]) ).

cnf(refute_0_13582,plain,
    ( product(b,c) != bigC(difference(c,b),c,c)
    | bigC(difference(c,b),c,c) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(bigC(difference(c,b),c,c)))]]) ).

cnf(refute_0_13583,plain,
    bigC(difference(c,b),c,c) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),bigC(difference(c,b),c,c)) )],[refute_0_13581,refute_0_13582]) ).

cnf(refute_0_13584,plain,
    difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)),
    introduced(tautology,[refl,[$fot(difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)))]]) ).

cnf(refute_0_13585,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) != difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23))
    | difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)),difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_13586,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)),difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23))) )],[refute_0_13584,refute_0_13585]) ).

cnf(refute_0_13587,plain,
    difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,b),c,c),product(b,c)) )],[refute_0_13583,refute_0_13586]) ).

cnf(refute_0_13588,plain,
    ( difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) != difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23))
    | difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) != product(X_23,difference(c,product(b,c)))
    | difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)),product(X_23,difference(c,product(b,c)))) ),[0],$fot(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)))]]) ).

cnf(refute_0_13589,plain,
    ( difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)) != product(X_23,difference(c,product(b,c)))
    | difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)),difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23))) )],[refute_0_13587,refute_0_13588]) ).

cnf(refute_0_13590,plain,
    difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = product(X_23,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(difference(c,b),c,c),bigC(difference(c,product(b,c)),b,X_23)),product(X_23,difference(c,product(b,c)))) )],[refute_0_13567,refute_0_13589]) ).

cnf(refute_0_13591,plain,
    bigC(difference(c,product(b,c)),b,C) = product(product(difference(c,product(b,c)),b),product(C,difference(c,product(b,c)))),
    inference(subst,[],[sos08:[bind(A,$fot(difference(c,product(b,c)))),bind(B,$fot(b))]]) ).

cnf(refute_0_13592,plain,
    ( bigC(difference(c,product(b,c)),b,C) != product(product(difference(c,product(b,c)),b),product(C,difference(c,product(b,c))))
    | product(difference(c,product(b,c)),b) != bigC(difference(c,b),c,c)
    | bigC(difference(c,product(b,c)),b,C) = product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(b,c)),b,C),product(product(difference(c,product(b,c)),b),product(C,difference(c,product(b,c))))) ),[1,0],$fot(bigC(difference(c,b),c,c))]]) ).

cnf(refute_0_13593,plain,
    ( bigC(difference(c,product(b,c)),b,C) != product(product(difference(c,product(b,c)),b),product(C,difference(c,product(b,c))))
    | bigC(difference(c,product(b,c)),b,C) = product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),b),bigC(difference(c,b),c,c)) )],[refute_0_13564,refute_0_13592]) ).

cnf(refute_0_13594,plain,
    bigC(difference(c,product(b,c)),b,C) = product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,c)),b,C),product(product(difference(c,product(b,c)),b),product(C,difference(c,product(b,c))))) )],[refute_0_13591,refute_0_13593]) ).

cnf(refute_0_13595,plain,
    product(product(b,C),product(b,c)) = product(b,product(C,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(C)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_13596,plain,
    product(product(X_63,X_64),product(X_65,difference(X_65,B))) = product(product(X_63,X_65),product(X_64,difference(X_65,B))),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(X_65)),bind(D,$fot(difference(X_65,B)))]]) ).

cnf(refute_0_13597,plain,
    product(X_65,difference(X_65,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_65))]]) ).

cnf(refute_0_13598,plain,
    ( product(X_65,difference(X_65,B)) != B
    | product(product(X_63,X_64),product(X_65,difference(X_65,B))) != product(product(X_63,X_65),product(X_64,difference(X_65,B)))
    | product(product(X_63,X_64),B) = product(product(X_63,X_65),product(X_64,difference(X_65,B))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(X_65,difference(X_65,B))),product(product(X_63,X_65),product(X_64,difference(X_65,B)))) ),[0,1],$fot(B)]]) ).

cnf(refute_0_13599,plain,
    ( product(product(X_63,X_64),product(X_65,difference(X_65,B))) != product(product(X_63,X_65),product(X_64,difference(X_65,B)))
    | product(product(X_63,X_64),B) = product(product(X_63,X_65),product(X_64,difference(X_65,B))) ),
    inference(resolve,[$cnf( $equal(product(X_65,difference(X_65,B)),B) )],[refute_0_13597,refute_0_13598]) ).

cnf(refute_0_13600,plain,
    product(product(X_63,X_64),B) = product(product(X_63,X_65),product(X_64,difference(X_65,B))),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(X_65,difference(X_65,B))),product(product(X_63,X_65),product(X_64,difference(X_65,B)))) )],[refute_0_13596,refute_0_13599]) ).

cnf(refute_0_13601,plain,
    ( product(product(X_63,X_64),B) != product(product(X_63,X_65),product(X_64,difference(X_65,B)))
    | product(product(X_63,X_65),product(X_64,difference(X_65,B))) = product(product(X_63,X_64),B) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),B))),bind(Y,$fot(product(product(X_63,X_65),product(X_64,difference(X_65,B)))))]]) ).

cnf(refute_0_13602,plain,
    product(product(X_63,X_65),product(X_64,difference(X_65,B))) = product(product(X_63,X_64),B),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),B),product(product(X_63,X_65),product(X_64,difference(X_65,B)))) )],[refute_0_13600,refute_0_13601]) ).

cnf(refute_0_13603,plain,
    product(product(b,c),product(C,difference(c,product(b,c)))) = product(product(b,C),product(b,c)),
    inference(subst,[],[refute_0_13602:[bind(B,$fot(product(b,c))),bind(X_63,$fot(b)),bind(X_64,$fot(C)),bind(X_65,$fot(c))]]) ).

cnf(refute_0_13604,plain,
    ( product(product(b,C),product(b,c)) != product(b,product(C,c))
    | product(product(b,c),product(C,difference(c,product(b,c)))) != product(product(b,C),product(b,c))
    | product(product(b,c),product(C,difference(c,product(b,c)))) = product(b,product(C,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(C,difference(c,product(b,c)))))),bind(Y,$fot(product(product(b,C),product(b,c)))),bind(Z,$fot(product(b,product(C,c))))]]) ).

cnf(refute_0_13605,plain,
    ( product(product(b,C),product(b,c)) != product(b,product(C,c))
    | product(product(b,c),product(C,difference(c,product(b,c)))) = product(b,product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(C,difference(c,product(b,c)))),product(product(b,C),product(b,c))) )],[refute_0_13603,refute_0_13604]) ).

cnf(refute_0_13606,plain,
    product(product(b,c),product(C,difference(c,product(b,c)))) = product(b,product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(b,C),product(b,c)),product(b,product(C,c))) )],[refute_0_13595,refute_0_13605]) ).

cnf(refute_0_13607,plain,
    product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))))]]) ).

cnf(refute_0_13608,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) != product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c))))
    | product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(product(b,c),product(C,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))),product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c))))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_13609,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(product(b,c),product(C,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))),product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c))))) )],[refute_0_13607,refute_0_13608]) ).

cnf(refute_0_13610,plain,
    product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(product(b,c),product(C,difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,b),c,c),product(b,c)) )],[refute_0_13583,refute_0_13609]) ).

cnf(refute_0_13611,plain,
    ( product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) != product(product(b,c),product(C,difference(c,product(b,c))))
    | product(product(b,c),product(C,difference(c,product(b,c)))) != product(b,product(C,c))
    | product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(b,product(C,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))))),bind(Y,$fot(product(product(b,c),product(C,difference(c,product(b,c)))))),bind(Z,$fot(product(b,product(C,c))))]]) ).

cnf(refute_0_13612,plain,
    ( product(product(b,c),product(C,difference(c,product(b,c)))) != product(b,product(C,c))
    | product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(b,product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))),product(product(b,c),product(C,difference(c,product(b,c))))) )],[refute_0_13610,refute_0_13611]) ).

cnf(refute_0_13613,plain,
    product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) = product(b,product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(C,difference(c,product(b,c)))),product(b,product(C,c))) )],[refute_0_13606,refute_0_13612]) ).

cnf(refute_0_13614,plain,
    ( bigC(difference(c,product(b,c)),b,C) != product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c))))
    | product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))) != product(b,product(C,c))
    | bigC(difference(c,product(b,c)),b,C) = product(b,product(C,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,product(b,c)),b,C),product(b,product(C,c))) ),[0],$fot(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))))]]) ).

cnf(refute_0_13615,plain,
    ( bigC(difference(c,product(b,c)),b,C) != product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c))))
    | bigC(difference(c,product(b,c)),b,C) = product(b,product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c)))),product(b,product(C,c))) )],[refute_0_13613,refute_0_13614]) ).

cnf(refute_0_13616,plain,
    bigC(difference(c,product(b,c)),b,C) = product(b,product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,c)),b,C),product(bigC(difference(c,b),c,c),product(C,difference(c,product(b,c))))) )],[refute_0_13594,refute_0_13615]) ).

cnf(refute_0_13617,plain,
    bigC(difference(c,product(b,c)),b,X_23) = product(b,product(X_23,c)),
    inference(subst,[],[refute_0_13616:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_13618,plain,
    difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),
    introduced(tautology,[refl,[$fot(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)))]]) ).

cnf(refute_0_13619,plain,
    ( bigC(difference(c,product(b,c)),b,X_23) != product(b,product(X_23,c))
    | difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) != difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23))
    | difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),product(b,product(X_23,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23))) ),[1,1],$fot(product(b,product(X_23,c)))]]) ).

cnf(refute_0_13620,plain,
    ( bigC(difference(c,product(b,c)),b,X_23) != product(b,product(X_23,c))
    | difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),product(b,product(X_23,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23))) )],[refute_0_13618,refute_0_13619]) ).

cnf(refute_0_13621,plain,
    difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) = difference(product(b,c),product(b,product(X_23,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,c)),b,X_23),product(b,product(X_23,c))) )],[refute_0_13617,refute_0_13620]) ).

cnf(refute_0_13622,plain,
    ( difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) != difference(product(b,c),product(b,product(X_23,c)))
    | difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) != product(X_23,difference(c,product(b,c)))
    | difference(product(b,c),product(b,product(X_23,c))) = product(X_23,difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),product(X_23,difference(c,product(b,c)))) ),[0],$fot(difference(product(b,c),product(b,product(X_23,c))))]]) ).

cnf(refute_0_13623,plain,
    ( difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)) != product(X_23,difference(c,product(b,c)))
    | difference(product(b,c),product(b,product(X_23,c))) = product(X_23,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),difference(product(b,c),product(b,product(X_23,c)))) )],[refute_0_13621,refute_0_13622]) ).

cnf(refute_0_13624,plain,
    difference(product(b,c),product(b,product(X_23,c))) = product(X_23,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(difference(c,product(b,c)),b,X_23)),product(X_23,difference(c,product(b,c)))) )],[refute_0_13590,refute_0_13623]) ).

cnf(refute_0_13625,plain,
    difference(product(b,c),product(b,product(a,c))) = product(a,difference(c,product(b,c))),
    inference(subst,[],[refute_0_13624:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_13626,plain,
    ( difference(product(b,c),product(b,product(a,c))) != c
    | difference(product(b,c),product(b,product(a,c))) != product(a,difference(c,product(b,c)))
    | product(a,difference(c,product(b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(b,product(a,c))),c) ),[0],$fot(product(a,difference(c,product(b,c))))]]) ).

cnf(refute_0_13627,plain,
    ( difference(product(b,c),product(b,product(a,c))) != c
    | product(a,difference(c,product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(a,c))),product(a,difference(c,product(b,c)))) )],[refute_0_13625,refute_0_13626]) ).

cnf(refute_0_13628,plain,
    product(a,difference(c,product(b,c))) = c,
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(a,c))),c) )],[refute_0_13517,refute_0_13627]) ).

cnf(refute_0_13629,plain,
    difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))))]]) ).

cnf(refute_0_13630,plain,
    ( difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | product(a,difference(c,product(b,c))) != c
    | difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = difference(difference(c,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_13631,plain,
    ( product(a,difference(c,product(b,c))) != c
    | difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = difference(difference(c,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) )],[refute_0_13629,refute_0_13630]) ).

cnf(refute_0_13632,plain,
    difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = difference(difference(c,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,c))),c) )],[refute_0_13628,refute_0_13631]) ).

cnf(refute_0_13633,plain,
    ( difference(difference(c,product(b,c)),c) != quotient(c,a)
    | difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) != difference(difference(c,product(b,c)),c)
    | difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = quotient(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))))),bind(Y,$fot(difference(difference(c,product(b,c)),c))),bind(Z,$fot(quotient(c,a)))]]) ).

cnf(refute_0_13634,plain,
    ( difference(difference(c,product(b,c)),c) != quotient(c,a)
    | difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),difference(difference(c,product(b,c)),c)) )],[refute_0_13632,refute_0_13633]) ).

cnf(refute_0_13635,plain,
    difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),c),quotient(c,a)) )],[refute_0_13513,refute_0_13634]) ).

cnf(refute_0_13636,plain,
    ( difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))) != quotient(c,a)
    | quotient(b,difference(c,product(b,c))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | quotient(b,difference(c,product(b,c))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,difference(c,product(b,c))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) ),[1],$fot(quotient(c,a))]]) ).

cnf(refute_0_13637,plain,
    ( quotient(b,difference(c,product(b,c))) != difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))
    | quotient(b,difference(c,product(b,c))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(a,difference(c,product(b,c)))),quotient(c,a)) )],[refute_0_13635,refute_0_13636]) ).

cnf(refute_0_13638,plain,
    quotient(b,difference(c,product(b,c))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(quotient(b,difference(c,product(b,c))),difference(difference(c,product(b,c)),product(a,difference(c,product(b,c))))) )],[refute_0_13484,refute_0_13637]) ).

cnf(refute_0_13639,plain,
    quotient(quotient(b,difference(c,product(b,c))),b) = quotient(quotient(b,difference(c,product(b,c))),b),
    introduced(tautology,[refl,[$fot(quotient(quotient(b,difference(c,product(b,c))),b))]]) ).

cnf(refute_0_13640,plain,
    ( quotient(b,difference(c,product(b,c))) != quotient(c,a)
    | quotient(quotient(b,difference(c,product(b,c))),b) != quotient(quotient(b,difference(c,product(b,c))),b)
    | quotient(quotient(b,difference(c,product(b,c))),b) = quotient(quotient(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),quotient(quotient(b,difference(c,product(b,c))),b)) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_13641,plain,
    ( quotient(b,difference(c,product(b,c))) != quotient(c,a)
    | quotient(quotient(b,difference(c,product(b,c))),b) = quotient(quotient(c,a),b) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),quotient(quotient(b,difference(c,product(b,c))),b)) )],[refute_0_13639,refute_0_13640]) ).

cnf(refute_0_13642,plain,
    quotient(quotient(b,difference(c,product(b,c))),b) = quotient(quotient(c,a),b),
    inference(resolve,[$cnf( $equal(quotient(b,difference(c,product(b,c))),quotient(c,a)) )],[refute_0_13638,refute_0_13641]) ).

cnf(refute_0_13643,plain,
    ( quotient(quotient(b,difference(c,product(b,c))),b) != difference(b,c)
    | quotient(quotient(b,difference(c,product(b,c))),b) != quotient(quotient(c,a),b)
    | quotient(quotient(c,a),b) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),difference(b,c)) ),[0],$fot(quotient(quotient(c,a),b))]]) ).

cnf(refute_0_13644,plain,
    ( quotient(quotient(b,difference(c,product(b,c))),b) != difference(b,c)
    | quotient(quotient(c,a),b) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),quotient(quotient(c,a),b)) )],[refute_0_13642,refute_0_13643]) ).

cnf(refute_0_13645,plain,
    quotient(quotient(c,a),b) = difference(b,c),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,difference(c,product(b,c))),b),difference(b,c)) )],[refute_0_13356,refute_0_13644]) ).

cnf(refute_0_13646,plain,
    ( quotient(quotient(c,a),b) != difference(b,c)
    | quotient(quotient(c,a),b) != product(a,quotient(c,a))
    | difference(b,c) = product(a,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,a),b),product(a,quotient(c,a))) ),[0],$fot(difference(b,c))]]) ).

cnf(refute_0_13647,plain,
    ( quotient(quotient(c,a),b) != product(a,quotient(c,a))
    | difference(b,c) = product(a,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,a),b),difference(b,c)) )],[refute_0_13645,refute_0_13646]) ).

cnf(refute_0_13648,plain,
    difference(b,c) = product(a,quotient(c,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,a),b),product(a,quotient(c,a))) )],[refute_0_12434,refute_0_13647]) ).

cnf(refute_0_13649,plain,
    ( difference(b,c) != product(a,quotient(c,a))
    | product(a,quotient(c,a)) = difference(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,c))),bind(Y,$fot(product(a,quotient(c,a))))]]) ).

cnf(refute_0_13650,plain,
    product(a,quotient(c,a)) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(b,c),product(a,quotient(c,a))) )],[refute_0_13648,refute_0_13649]) ).

cnf(refute_0_13651,plain,
    ( bigC(a,quotient(c,a),a) != product(product(a,quotient(c,a)),a)
    | product(a,quotient(c,a)) != difference(b,c)
    | bigC(a,quotient(c,a),a) = product(difference(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,quotient(c,a),a),product(product(a,quotient(c,a)),a)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_13652,plain,
    ( bigC(a,quotient(c,a),a) != product(product(a,quotient(c,a)),a)
    | bigC(a,quotient(c,a),a) = product(difference(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_13651]) ).

cnf(refute_0_13653,plain,
    bigC(a,quotient(c,a),a) = product(difference(b,c),a),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),a),product(product(a,quotient(c,a)),a)) )],[refute_0_12248,refute_0_13652]) ).

cnf(refute_0_13654,plain,
    bigC(a,quotient(c,a),a) = product(product(a,a),c),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(c)),bind(X_21,$fot(a)),bind(X_22,$fot(a))]]) ).

cnf(refute_0_13655,plain,
    ( bigC(a,quotient(c,a),a) != product(product(a,a),c)
    | product(product(a,a),c) != product(a,c)
    | bigC(a,quotient(c,a),a) = product(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,quotient(c,a),a))),bind(Y,$fot(product(product(a,a),c))),bind(Z,$fot(product(a,c)))]]) ).

cnf(refute_0_13656,plain,
    ( product(product(a,a),c) != product(a,c)
    | bigC(a,quotient(c,a),a) = product(a,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),a),product(product(a,a),c)) )],[refute_0_13654,refute_0_13655]) ).

cnf(refute_0_13657,plain,
    bigC(a,quotient(c,a),a) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(a,a),c),product(a,c)) )],[refute_0_8223,refute_0_13656]) ).

cnf(refute_0_13658,plain,
    ( bigC(a,quotient(c,a),a) != product(a,c)
    | bigC(a,quotient(c,a),a) != product(difference(b,c),a)
    | product(a,c) = product(difference(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,quotient(c,a),a),product(difference(b,c),a)) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_13659,plain,
    ( bigC(a,quotient(c,a),a) != product(difference(b,c),a)
    | product(a,c) = product(difference(b,c),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),a),product(a,c)) )],[refute_0_13657,refute_0_13658]) ).

cnf(refute_0_13660,plain,
    product(a,c) = product(difference(b,c),a),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),a),product(difference(b,c),a)) )],[refute_0_13653,refute_0_13659]) ).

cnf(refute_0_13661,plain,
    ( product(a,c) != product(difference(b,c),a)
    | product(difference(b,c),a) = product(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(difference(b,c),a)))]]) ).

cnf(refute_0_13662,plain,
    product(difference(b,c),a) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(difference(b,c),a)) )],[refute_0_13660,refute_0_13661]) ).

cnf(refute_0_13663,plain,
    ( difference(difference(b,c),product(difference(b,c),a)) != a
    | product(difference(b,c),a) != product(a,c)
    | difference(difference(b,c),product(a,c)) = a ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,c),product(difference(b,c),a)),a) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_13664,plain,
    ( difference(difference(b,c),product(difference(b,c),a)) != a
    | difference(difference(b,c),product(a,c)) = a ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_13662,refute_0_13663]) ).

cnf(refute_0_13665,plain,
    difference(difference(b,c),product(a,c)) = a,
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(difference(b,c),a)),a) )],[refute_0_12247,refute_0_13664]) ).

cnf(refute_0_13666,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),product(product(a,quotient(c,a)),b))) = product(a,quotient(c,a)),
    inference(subst,[],[sos07:[bind(A,$fot(b)),bind(B,$fot(product(a,quotient(c,a))))]]) ).

cnf(refute_0_13667,plain,
    ( product(product(a,quotient(c,a)),b) != quotient(c,a)
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),product(product(a,quotient(c,a)),b))) != product(a,quotient(c,a))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(a,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),product(product(a,quotient(c,a)),b))),product(a,quotient(c,a))) ),[0,1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_13668,plain,
    ( product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),product(product(a,quotient(c,a)),b))) != product(a,quotient(c,a))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(a,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),quotient(c,a)) )],[refute_0_12431,refute_0_13667]) ).

cnf(refute_0_13669,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(a,quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),product(product(a,quotient(c,a)),b))),product(a,quotient(c,a))) )],[refute_0_13666,refute_0_13668]) ).

cnf(refute_0_13670,plain,
    product(product(a,quotient(c,a)),quotient(c,a)) = product(difference(a,difference(c,a)),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(a))]]) ).

cnf(refute_0_13671,plain,
    product(product(product(a,quotient(c,a)),quotient(c,a)),c) = product(product(product(a,quotient(c,a)),quotient(c,a)),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,quotient(c,a)),quotient(c,a)),c))]]) ).

cnf(refute_0_13672,plain,
    ( product(product(a,quotient(c,a)),quotient(c,a)) != product(difference(a,difference(c,a)),c)
    | product(product(product(a,quotient(c,a)),quotient(c,a)),c) != product(product(product(a,quotient(c,a)),quotient(c,a)),c)
    | product(product(product(a,quotient(c,a)),quotient(c,a)),c) = product(product(difference(a,difference(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,quotient(c,a)),quotient(c,a)),c),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) ),[1,0],$fot(product(difference(a,difference(c,a)),c))]]) ).

cnf(refute_0_13673,plain,
    ( product(product(a,quotient(c,a)),quotient(c,a)) != product(difference(a,difference(c,a)),c)
    | product(product(product(a,quotient(c,a)),quotient(c,a)),c) = product(product(difference(a,difference(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,quotient(c,a)),quotient(c,a)),c),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) )],[refute_0_13671,refute_0_13672]) ).

cnf(refute_0_13674,plain,
    product(product(product(a,quotient(c,a)),quotient(c,a)),c) = product(product(difference(a,difference(c,a)),c),c),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),quotient(c,a)),product(difference(a,difference(c,a)),c)) )],[refute_0_13670,refute_0_13673]) ).

cnf(refute_0_13675,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)))]]) ).

cnf(refute_0_13676,plain,
    ( product(product(product(a,quotient(c,a)),quotient(c,a)),c) != product(product(difference(a,difference(c,a)),c),c)
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))) ),[1,1],$fot(product(product(difference(a,difference(c,a)),c),c))]]) ).

cnf(refute_0_13677,plain,
    ( product(product(product(a,quotient(c,a)),quotient(c,a)),c) != product(product(difference(a,difference(c,a)),c),c)
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))) )],[refute_0_13675,refute_0_13676]) ).

cnf(refute_0_13678,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,quotient(c,a)),quotient(c,a)),c),product(product(difference(a,difference(c,a)),c),c)) )],[refute_0_13674,refute_0_13677]) ).

cnf(refute_0_13679,plain,
    product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(b,a))),bind(B,$fot(difference(a,difference(c,a)))),bind(C,$fot(product(product(a,quotient(c,a)),quotient(c,a)))),bind(D,$fot(c))]]) ).

cnf(refute_0_13680,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) = product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c)),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(difference(a,difference(c,a)),c))),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,quotient(c,a)))),bind(X_66,$fot(quotient(c,a)))]]) ).

cnf(refute_0_13681,plain,
    ( product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) != product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)))),bind(Y,$fot(product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c)))),bind(Z,$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))))]]) ).

cnf(refute_0_13682,plain,
    ( product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)),product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c))) )],[refute_0_13680,refute_0_13681]) ).

cnf(refute_0_13683,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(product(a,quotient(c,a)),quotient(c,a))),product(difference(a,difference(c,a)),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))) )],[refute_0_13679,refute_0_13682]) ).

cnf(refute_0_13684,plain,
    product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108))),
    inference(subst,[],[sos05:[bind(B,$fot(product(X_108,quotient(X_107,X_108)))),bind(D,$fot(quotient(X_107,X_108)))]]) ).

cnf(refute_0_13685,plain,
    quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)) = product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(X_107)),bind(X_17,$fot(X_108))]]) ).

cnf(refute_0_13686,plain,
    ( quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)) != product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108))
    | product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)) = quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))),bind(Y,$fot(product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108))))]]) ).

cnf(refute_0_13687,plain,
    product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)) = quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)),product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108))) )],[refute_0_13685,refute_0_13686]) ).

cnf(refute_0_13688,plain,
    ( product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) != product(product(A,C),product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)))
    | product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)) != quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))
    | product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))),product(product(A,C),product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)))) ),[1,1],$fot(quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))]]) ).

cnf(refute_0_13689,plain,
    ( product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) != product(product(A,C),product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)))
    | product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) ),
    inference(resolve,[$cnf( $equal(product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) )],[refute_0_13687,refute_0_13688]) ).

cnf(refute_0_13690,plain,
    product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))),product(product(A,C),product(product(X_108,quotient(X_107,X_108)),quotient(X_107,X_108)))) )],[refute_0_13684,refute_0_13689]) ).

cnf(refute_0_13691,plain,
    quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)) = product(difference(X_108,difference(X_107,X_108)),X_107),
    inference(subst,[],[refute_0_2071:[bind(X_21,$fot(X_108))]]) ).

cnf(refute_0_13692,plain,
    product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) = product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))),
    introduced(tautology,[refl,[$fot(product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))))]]) ).

cnf(refute_0_13693,plain,
    ( product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) != product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))
    | quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)) != product(difference(X_108,difference(X_107,X_108)),X_107)
    | product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) = product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))),product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))) ),[1,1],$fot(product(difference(X_108,difference(X_107,X_108)),X_107))]]) ).

cnf(refute_0_13694,plain,
    ( quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)) != product(difference(X_108,difference(X_107,X_108)),X_107)
    | product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) = product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))),product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))) )],[refute_0_13692,refute_0_13693]) ).

cnf(refute_0_13695,plain,
    product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) = product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)),
    inference(resolve,[$cnf( $equal(quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)),product(difference(X_108,difference(X_107,X_108)),X_107)) )],[refute_0_13691,refute_0_13694]) ).

cnf(refute_0_13696,plain,
    ( product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))) != product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107))
    | product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) != product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))
    | product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))),product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))) ),[1],$fot(product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)))]]) ).

cnf(refute_0_13697,plain,
    ( product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) != product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))
    | product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107))),product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107))) )],[refute_0_13695,refute_0_13696]) ).

cnf(refute_0_13698,plain,
    product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))) = product(product(A,C),product(difference(X_108,difference(X_107,X_108)),X_107)),
    inference(resolve,[$cnf( $equal(product(product(A,product(X_108,quotient(X_107,X_108))),product(C,quotient(X_107,X_108))),product(product(A,C),quotient(quotient(X_107,X_108),product(quotient(X_107,X_108),X_107)))) )],[refute_0_13690,refute_0_13697]) ).

cnf(refute_0_13699,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)),
    inference(subst,[],[refute_0_13698:[bind(A,$fot(product(b,product(a,quotient(c,a))))),bind(C,$fot(product(a,quotient(c,a)))),bind(X_107,$fot(c)),bind(X_108,$fot(a))]]) ).

cnf(refute_0_13700,plain,
    ( product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) != product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))))),bind(Y,$fot(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)))),bind(Z,$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))))]]) ).

cnf(refute_0_13701,plain,
    ( product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))),product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c))) )],[refute_0_13699,refute_0_13700]) ).

cnf(refute_0_13702,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(difference(a,difference(c,a)),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))) )],[refute_0_13683,refute_0_13701]) ).

cnf(refute_0_13703,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) != product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))))),bind(Y,$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)))),bind(Z,$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))))]]) ).

cnf(refute_0_13704,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))),product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c))) )],[refute_0_13702,refute_0_13703]) ).

cnf(refute_0_13705,plain,
    product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(product(a,quotient(c,a)),quotient(c,a)),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))) )],[refute_0_13678,refute_0_13704]) ).

cnf(refute_0_13706,plain,
    ( product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) != product(a,quotient(c,a))
    | product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) != product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(a,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))),product(a,quotient(c,a))) ),[0],$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)))]]) ).

cnf(refute_0_13707,plain,
    ( product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))) != product(a,quotient(c,a))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(a,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))),product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))) )],[refute_0_13705,refute_0_13706]) ).

cnf(refute_0_13708,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(a,quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,quotient(c,a))),product(a,quotient(c,a))),product(product(a,quotient(c,a)),quotient(c,a))),product(a,quotient(c,a))) )],[refute_0_13669,refute_0_13707]) ).

cnf(refute_0_13709,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) != product(a,quotient(c,a))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),product(a,quotient(c,a))) ),[1],$fot(difference(b,c))]]) ).

cnf(refute_0_13710,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) != product(a,quotient(c,a))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_13709]) ).

cnf(refute_0_13711,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),product(a,quotient(c,a))) )],[refute_0_13708,refute_0_13710]) ).

cnf(refute_0_13712,plain,
    product(product(difference(b,c),quotient(c,a)),c) = bigC(difference(b,c),b,quotient(c,a)),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(c)),bind(X_22,$fot(quotient(c,a))),bind(X_23,$fot(b))]]) ).

cnf(refute_0_13713,plain,
    quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(product(a,quotient(c,a)),quotient(c,a)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(a)),bind(X_16,$fot(quotient(c,a)))]]) ).

cnf(refute_0_13714,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) != product(product(a,quotient(c,a)),quotient(c,a))
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(difference(b,c),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))),product(product(a,quotient(c,a)),quotient(c,a))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_13715,plain,
    ( quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) != product(product(a,quotient(c,a)),quotient(c,a))
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(difference(b,c),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_13714]) ).

cnf(refute_0_13716,plain,
    quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(difference(b,c),quotient(c,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))),product(product(a,quotient(c,a)),quotient(c,a))) )],[refute_0_13713,refute_0_13715]) ).

cnf(refute_0_13717,plain,
    ( product(product(a,quotient(c,a)),quotient(c,a)) != product(difference(a,difference(c,a)),c)
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) != product(product(a,quotient(c,a)),quotient(c,a))
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(difference(a,difference(c,a)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))))),bind(Y,$fot(product(product(a,quotient(c,a)),quotient(c,a)))),bind(Z,$fot(product(difference(a,difference(c,a)),c)))]]) ).

cnf(refute_0_13718,plain,
    ( product(product(a,quotient(c,a)),quotient(c,a)) != product(difference(a,difference(c,a)),c)
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(difference(a,difference(c,a)),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))),product(product(a,quotient(c,a)),quotient(c,a))) )],[refute_0_13713,refute_0_13717]) ).

cnf(refute_0_13719,plain,
    quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) = product(difference(a,difference(c,a)),c),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),quotient(c,a)),product(difference(a,difference(c,a)),c)) )],[refute_0_13670,refute_0_13718]) ).

cnf(refute_0_13720,plain,
    ( quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) != product(difference(a,difference(c,a)),c)
    | quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) != product(difference(b,c),quotient(c,a))
    | product(difference(a,difference(c,a)),c) = product(difference(b,c),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))),product(difference(b,c),quotient(c,a))) ),[0],$fot(product(difference(a,difference(c,a)),c))]]) ).

cnf(refute_0_13721,plain,
    ( quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))) != product(difference(b,c),quotient(c,a))
    | product(difference(a,difference(c,a)),c) = product(difference(b,c),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))),product(difference(a,difference(c,a)),c)) )],[refute_0_13719,refute_0_13720]) ).

cnf(refute_0_13722,plain,
    product(difference(a,difference(c,a)),c) = product(difference(b,c),quotient(c,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,a),product(quotient(c,a),product(quotient(c,a),a))),product(difference(b,c),quotient(c,a))) )],[refute_0_13716,refute_0_13721]) ).

cnf(refute_0_13723,plain,
    product(product(difference(a,difference(c,a)),c),c) = product(product(difference(a,difference(c,a)),c),c),
    introduced(tautology,[refl,[$fot(product(product(difference(a,difference(c,a)),c),c))]]) ).

cnf(refute_0_13724,plain,
    ( product(difference(a,difference(c,a)),c) != product(difference(b,c),quotient(c,a))
    | product(product(difference(a,difference(c,a)),c),c) != product(product(difference(a,difference(c,a)),c),c)
    | product(product(difference(a,difference(c,a)),c),c) = product(product(difference(b,c),quotient(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(a,difference(c,a)),c),c),product(product(difference(a,difference(c,a)),c),c)) ),[1,0],$fot(product(difference(b,c),quotient(c,a)))]]) ).

cnf(refute_0_13725,plain,
    ( product(difference(a,difference(c,a)),c) != product(difference(b,c),quotient(c,a))
    | product(product(difference(a,difference(c,a)),c),c) = product(product(difference(b,c),quotient(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(a,difference(c,a)),c),c),product(product(difference(a,difference(c,a)),c),c)) )],[refute_0_13723,refute_0_13724]) ).

cnf(refute_0_13726,plain,
    product(product(difference(a,difference(c,a)),c),c) = product(product(difference(b,c),quotient(c,a)),c),
    inference(resolve,[$cnf( $equal(product(difference(a,difference(c,a)),c),product(difference(b,c),quotient(c,a))) )],[refute_0_13722,refute_0_13725]) ).

cnf(refute_0_13727,plain,
    ( product(product(difference(a,difference(c,a)),c),c) != product(product(difference(b,c),quotient(c,a)),c)
    | product(product(difference(b,c),quotient(c,a)),c) != bigC(difference(b,c),b,quotient(c,a))
    | product(product(difference(a,difference(c,a)),c),c) = bigC(difference(b,c),b,quotient(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(a,difference(c,a)),c),c))),bind(Y,$fot(product(product(difference(b,c),quotient(c,a)),c))),bind(Z,$fot(bigC(difference(b,c),b,quotient(c,a))))]]) ).

cnf(refute_0_13728,plain,
    ( product(product(difference(b,c),quotient(c,a)),c) != bigC(difference(b,c),b,quotient(c,a))
    | product(product(difference(a,difference(c,a)),c),c) = bigC(difference(b,c),b,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(a,difference(c,a)),c),c),product(product(difference(b,c),quotient(c,a)),c)) )],[refute_0_13726,refute_0_13727]) ).

cnf(refute_0_13729,plain,
    product(product(difference(a,difference(c,a)),c),c) = bigC(difference(b,c),b,quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),c),bigC(difference(b,c),b,quotient(c,a))) )],[refute_0_13712,refute_0_13728]) ).

cnf(refute_0_13730,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)))]]) ).

cnf(refute_0_13731,plain,
    ( product(product(difference(a,difference(c,a)),c),c) != bigC(difference(b,c),b,quotient(c,a))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) != product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))) ),[1,1],$fot(bigC(difference(b,c),b,quotient(c,a)))]]) ).

cnf(refute_0_13732,plain,
    ( product(product(difference(a,difference(c,a)),c),c) != bigC(difference(b,c),b,quotient(c,a))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c))) )],[refute_0_13730,refute_0_13731]) ).

cnf(refute_0_13733,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) = product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),
    inference(resolve,[$cnf( $equal(product(product(difference(a,difference(c,a)),c),c),bigC(difference(b,c),b,quotient(c,a))) )],[refute_0_13729,refute_0_13732]) ).

cnf(refute_0_13734,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) != difference(b,c)
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) != product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a)))
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),difference(b,c)) ),[0],$fot(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))))]]) ).

cnf(refute_0_13735,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)) != difference(b,c)
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a)))) )],[refute_0_13733,refute_0_13734]) ).

cnf(refute_0_13736,plain,
    product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(difference(a,difference(c,a)),c),c)),difference(b,c)) )],[refute_0_13711,refute_0_13735]) ).

cnf(refute_0_13737,plain,
    product(a,difference(a,difference(c,a))) = difference(c,a),
    inference(subst,[],[sos02:[bind(A,$fot(a)),bind(B,$fot(difference(c,a)))]]) ).

cnf(refute_0_13738,plain,
    product(product(a,difference(a,difference(c,a))),c) = product(product(a,difference(a,difference(c,a))),c),
    introduced(tautology,[refl,[$fot(product(product(a,difference(a,difference(c,a))),c))]]) ).

cnf(refute_0_13739,plain,
    ( product(a,difference(a,difference(c,a))) != difference(c,a)
    | product(product(a,difference(a,difference(c,a))),c) != product(product(a,difference(a,difference(c,a))),c)
    | product(product(a,difference(a,difference(c,a))),c) = product(difference(c,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,difference(a,difference(c,a))),c),product(product(a,difference(a,difference(c,a))),c)) ),[1,0],$fot(difference(c,a))]]) ).

cnf(refute_0_13740,plain,
    ( product(a,difference(a,difference(c,a))) != difference(c,a)
    | product(product(a,difference(a,difference(c,a))),c) = product(difference(c,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,difference(a,difference(c,a))),c),product(product(a,difference(a,difference(c,a))),c)) )],[refute_0_13738,refute_0_13739]) ).

cnf(refute_0_13741,plain,
    product(product(a,difference(a,difference(c,a))),c) = product(difference(c,a),c),
    inference(resolve,[$cnf( $equal(product(a,difference(a,difference(c,a))),difference(c,a)) )],[refute_0_13737,refute_0_13740]) ).

cnf(refute_0_13742,plain,
    ( product(difference(c,a),c) != difference(c,product(a,c))
    | product(product(a,difference(a,difference(c,a))),c) != product(difference(c,a),c)
    | product(product(a,difference(a,difference(c,a))),c) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,difference(a,difference(c,a))),c))),bind(Y,$fot(product(difference(c,a),c))),bind(Z,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_13743,plain,
    ( product(difference(c,a),c) != difference(c,product(a,c))
    | product(product(a,difference(a,difference(c,a))),c) = difference(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,difference(a,difference(c,a))),c),product(difference(c,a),c)) )],[refute_0_13741,refute_0_13742]) ).

cnf(refute_0_13744,plain,
    product(product(a,difference(a,difference(c,a))),c) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(difference(c,a),c),difference(c,product(a,c))) )],[refute_0_1975,refute_0_13743]) ).

cnf(refute_0_13745,plain,
    product(product(c,a),product(difference(a,difference(c,a)),b)) = product(product(a,difference(a,difference(c,a))),c),
    inference(subst,[],[refute_0_8194:[bind(X_22,$fot(difference(a,difference(c,a))))]]) ).

cnf(refute_0_13746,plain,
    ( product(product(a,difference(a,difference(c,a))),c) != difference(c,product(a,c))
    | product(product(c,a),product(difference(a,difference(c,a)),b)) != product(product(a,difference(a,difference(c,a))),c)
    | product(product(c,a),product(difference(a,difference(c,a)),b)) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(difference(a,difference(c,a)),b)))),bind(Y,$fot(product(product(a,difference(a,difference(c,a))),c))),bind(Z,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_13747,plain,
    ( product(product(a,difference(a,difference(c,a))),c) != difference(c,product(a,c))
    | product(product(c,a),product(difference(a,difference(c,a)),b)) = difference(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(difference(a,difference(c,a)),b)),product(product(a,difference(a,difference(c,a))),c)) )],[refute_0_13745,refute_0_13746]) ).

cnf(refute_0_13748,plain,
    product(product(c,a),product(difference(a,difference(c,a)),b)) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,difference(a,difference(c,a))),c),difference(c,product(a,c))) )],[refute_0_13744,refute_0_13747]) ).

cnf(refute_0_13749,plain,
    product(product(product(b,a),B),product(product(a,c),D)) = product(product(product(b,a),product(a,c)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(b,a))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_13750,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | product(product(product(b,a),B),product(product(a,c),D)) != product(product(product(b,a),product(a,c)),product(B,D))
    | product(product(product(b,a),B),product(product(a,c),D)) = product(product(c,a),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),B),product(product(a,c),D)),product(product(product(b,a),product(a,c)),product(B,D))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_13751,plain,
    ( product(product(product(b,a),B),product(product(a,c),D)) != product(product(product(b,a),product(a,c)),product(B,D))
    | product(product(product(b,a),B),product(product(a,c),D)) = product(product(c,a),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_13750]) ).

cnf(refute_0_13752,plain,
    product(product(product(b,a),B),product(product(a,c),D)) = product(product(c,a),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),product(product(a,c),D)),product(product(product(b,a),product(a,c)),product(B,D))) )],[refute_0_13749,refute_0_13751]) ).

cnf(refute_0_13753,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) = product(product(c,a),product(difference(a,difference(c,a)),b)),
    inference(subst,[],[refute_0_13752:[bind(B,$fot(difference(a,difference(c,a)))),bind(D,$fot(b))]]) ).

cnf(refute_0_13754,plain,
    ( product(product(c,a),product(difference(a,difference(c,a)),b)) != difference(c,product(a,c))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) != product(product(c,a),product(difference(a,difference(c,a)),b))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)))),bind(Y,$fot(product(product(c,a),product(difference(a,difference(c,a)),b)))),bind(Z,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_13755,plain,
    ( product(product(c,a),product(difference(a,difference(c,a)),b)) != difference(c,product(a,c))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) = difference(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)),product(product(c,a),product(difference(a,difference(c,a)),b))) )],[refute_0_13753,refute_0_13754]) ).

cnf(refute_0_13756,plain,
    product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(difference(a,difference(c,a)),b)),difference(c,product(a,c))) )],[refute_0_13748,refute_0_13755]) ).

cnf(refute_0_13757,plain,
    ( product(product(a,B),product(c,D)) != product(product(a,c),product(B,D))
    | product(product(a,c),product(B,D)) = product(product(a,B),product(c,D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,B),product(c,D)))),bind(Y,$fot(product(product(a,c),product(B,D))))]]) ).

cnf(refute_0_13758,plain,
    product(product(a,c),product(B,D)) = product(product(a,B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(c,D)),product(product(a,c),product(B,D))) )],[refute_0_5955,refute_0_13757]) ).

cnf(refute_0_13759,plain,
    product(product(a,c),product(b,b)) = product(product(a,b),product(c,b)),
    inference(subst,[],[refute_0_13758:[bind(B,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_13760,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(a,c),product(b,b)) != product(product(a,b),product(c,b))
    | product(product(a,c),product(b,b)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(b,b)))),bind(Y,$fot(product(product(a,b),product(c,b)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_13761,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(a,c),product(b,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(b,b)),product(product(a,b),product(c,b))) )],[refute_0_13759,refute_0_13760]) ).

cnf(refute_0_13762,plain,
    product(product(a,c),product(b,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_13761]) ).

cnf(refute_0_13763,plain,
    bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = product(product(difference(quotient(c,a),product(a,b)),X_22),product(a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(a,b))),bind(X_23,$fot(quotient(c,a)))]]) ).

cnf(refute_0_13764,plain,
    quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = difference(quotient(c,a),product(c,quotient(c,a))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(quotient(c,a))),bind(X_29,$fot(c))]]) ).

cnf(refute_0_13765,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) != difference(quotient(c,a),product(c,quotient(c,a)))
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = difference(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)),difference(quotient(c,a),product(c,quotient(c,a)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_13766,plain,
    ( quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) != difference(quotient(c,a),product(c,quotient(c,a)))
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = difference(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_13765]) ).

cnf(refute_0_13767,plain,
    quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = difference(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)),difference(quotient(c,a),product(c,quotient(c,a)))) )],[refute_0_13764,refute_0_13766]) ).

cnf(refute_0_13768,plain,
    difference(quotient(A,X_75),bigC(quotient(A,X_75),X_75,quotient(A,X_75))) = product(X_75,quotient(A,X_75)),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(quotient(A,X_75))),bind(X_37,$fot(X_75))]]) ).

cnf(refute_0_13769,plain,
    bigC(quotient(A,X_75),X_75,quotient(A,X_75)) = product(A,product(quotient(A,X_75),quotient(A,X_75))),
    inference(subst,[],[refute_0_1046:[bind(X_22,$fot(X_75)),bind(X_23,$fot(quotient(A,X_75)))]]) ).

cnf(refute_0_13770,plain,
    ( bigC(quotient(A,X_75),X_75,quotient(A,X_75)) != product(A,product(quotient(A,X_75),quotient(A,X_75)))
    | difference(quotient(A,X_75),bigC(quotient(A,X_75),X_75,quotient(A,X_75))) != product(X_75,quotient(A,X_75))
    | difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = product(X_75,quotient(A,X_75)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(A,X_75),bigC(quotient(A,X_75),X_75,quotient(A,X_75))),product(X_75,quotient(A,X_75))) ),[0,1],$fot(product(A,product(quotient(A,X_75),quotient(A,X_75))))]]) ).

cnf(refute_0_13771,plain,
    ( difference(quotient(A,X_75),bigC(quotient(A,X_75),X_75,quotient(A,X_75))) != product(X_75,quotient(A,X_75))
    | difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = product(X_75,quotient(A,X_75)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(A,X_75),X_75,quotient(A,X_75)),product(A,product(quotient(A,X_75),quotient(A,X_75)))) )],[refute_0_13769,refute_0_13770]) ).

cnf(refute_0_13772,plain,
    difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = product(X_75,quotient(A,X_75)),
    inference(resolve,[$cnf( $equal(difference(quotient(A,X_75),bigC(quotient(A,X_75),X_75,quotient(A,X_75))),product(X_75,quotient(A,X_75))) )],[refute_0_13768,refute_0_13771]) ).

cnf(refute_0_13773,plain,
    product(quotient(A,X_75),quotient(A,X_75)) = quotient(A,X_75),
    inference(subst,[],[sos06:[bind(A,$fot(quotient(A,X_75)))]]) ).

cnf(refute_0_13774,plain,
    product(A,product(quotient(A,X_75),quotient(A,X_75))) = product(A,product(quotient(A,X_75),quotient(A,X_75))),
    introduced(tautology,[refl,[$fot(product(A,product(quotient(A,X_75),quotient(A,X_75))))]]) ).

cnf(refute_0_13775,plain,
    ( product(A,product(quotient(A,X_75),quotient(A,X_75))) != product(A,product(quotient(A,X_75),quotient(A,X_75)))
    | product(quotient(A,X_75),quotient(A,X_75)) != quotient(A,X_75)
    | product(A,product(quotient(A,X_75),quotient(A,X_75))) = product(A,quotient(A,X_75)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(A,product(quotient(A,X_75),quotient(A,X_75))),product(A,product(quotient(A,X_75),quotient(A,X_75)))) ),[1,1],$fot(quotient(A,X_75))]]) ).

cnf(refute_0_13776,plain,
    ( product(quotient(A,X_75),quotient(A,X_75)) != quotient(A,X_75)
    | product(A,product(quotient(A,X_75),quotient(A,X_75))) = product(A,quotient(A,X_75)) ),
    inference(resolve,[$cnf( $equal(product(A,product(quotient(A,X_75),quotient(A,X_75))),product(A,product(quotient(A,X_75),quotient(A,X_75)))) )],[refute_0_13774,refute_0_13775]) ).

cnf(refute_0_13777,plain,
    product(A,product(quotient(A,X_75),quotient(A,X_75))) = product(A,quotient(A,X_75)),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_75),quotient(A,X_75)),quotient(A,X_75)) )],[refute_0_13773,refute_0_13776]) ).

cnf(refute_0_13778,plain,
    difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))),
    introduced(tautology,[refl,[$fot(difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))))]]) ).

cnf(refute_0_13779,plain,
    ( difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) != difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75))))
    | product(A,product(quotient(A,X_75),quotient(A,X_75))) != product(A,quotient(A,X_75))
    | difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = difference(quotient(A,X_75),product(A,quotient(A,X_75))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))),difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75))))) ),[1,1],$fot(product(A,quotient(A,X_75)))]]) ).

cnf(refute_0_13780,plain,
    ( product(A,product(quotient(A,X_75),quotient(A,X_75))) != product(A,quotient(A,X_75))
    | difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = difference(quotient(A,X_75),product(A,quotient(A,X_75))) ),
    inference(resolve,[$cnf( $equal(difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))),difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75))))) )],[refute_0_13778,refute_0_13779]) ).

cnf(refute_0_13781,plain,
    difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) = difference(quotient(A,X_75),product(A,quotient(A,X_75))),
    inference(resolve,[$cnf( $equal(product(A,product(quotient(A,X_75),quotient(A,X_75))),product(A,quotient(A,X_75))) )],[refute_0_13777,refute_0_13780]) ).

cnf(refute_0_13782,plain,
    ( difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) != difference(quotient(A,X_75),product(A,quotient(A,X_75)))
    | difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) != product(X_75,quotient(A,X_75))
    | difference(quotient(A,X_75),product(A,quotient(A,X_75))) = product(X_75,quotient(A,X_75)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))),product(X_75,quotient(A,X_75))) ),[0],$fot(difference(quotient(A,X_75),product(A,quotient(A,X_75))))]]) ).

cnf(refute_0_13783,plain,
    ( difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))) != product(X_75,quotient(A,X_75))
    | difference(quotient(A,X_75),product(A,quotient(A,X_75))) = product(X_75,quotient(A,X_75)) ),
    inference(resolve,[$cnf( $equal(difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))),difference(quotient(A,X_75),product(A,quotient(A,X_75)))) )],[refute_0_13781,refute_0_13782]) ).

cnf(refute_0_13784,plain,
    difference(quotient(A,X_75),product(A,quotient(A,X_75))) = product(X_75,quotient(A,X_75)),
    inference(resolve,[$cnf( $equal(difference(quotient(A,X_75),product(A,product(quotient(A,X_75),quotient(A,X_75)))),product(X_75,quotient(A,X_75))) )],[refute_0_13772,refute_0_13783]) ).

cnf(refute_0_13785,plain,
    difference(quotient(c,a),product(c,quotient(c,a))) = product(a,quotient(c,a)),
    inference(subst,[],[refute_0_13784:[bind(A,$fot(c)),bind(X_75,$fot(a))]]) ).

cnf(refute_0_13786,plain,
    ( difference(quotient(c,a),product(c,quotient(c,a))) != product(a,quotient(c,a))
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) != difference(quotient(c,a),product(c,quotient(c,a)))
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = product(a,quotient(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)))),bind(Y,$fot(difference(quotient(c,a),product(c,quotient(c,a))))),bind(Z,$fot(product(a,quotient(c,a))))]]) ).

cnf(refute_0_13787,plain,
    ( difference(quotient(c,a),product(c,quotient(c,a))) != product(a,quotient(c,a))
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = product(a,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)),difference(quotient(c,a),product(c,quotient(c,a)))) )],[refute_0_13764,refute_0_13786]) ).

cnf(refute_0_13788,plain,
    quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) = product(a,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(quotient(c,a),product(c,quotient(c,a))),product(a,quotient(c,a))) )],[refute_0_13785,refute_0_13787]) ).

cnf(refute_0_13789,plain,
    ( quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) != difference(quotient(c,a),product(a,b))
    | quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) != product(a,quotient(c,a))
    | product(a,quotient(c,a)) = difference(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)),difference(quotient(c,a),product(a,b))) ),[0],$fot(product(a,quotient(c,a)))]]) ).

cnf(refute_0_13790,plain,
    ( quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)) != difference(quotient(c,a),product(a,b))
    | product(a,quotient(c,a)) = difference(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)),product(a,quotient(c,a))) )],[refute_0_13788,refute_0_13789]) ).

cnf(refute_0_13791,plain,
    product(a,quotient(c,a)) = difference(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(quotient(c,a),product(quotient(c,a),c)),quotient(c,a)),difference(quotient(c,a),product(a,b))) )],[refute_0_13767,refute_0_13790]) ).

cnf(refute_0_13792,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(a,quotient(c,a)) != difference(quotient(c,a),product(a,b))
    | difference(b,c) = difference(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,quotient(c,a)),difference(quotient(c,a),product(a,b))) ),[0],$fot(difference(b,c))]]) ).

cnf(refute_0_13793,plain,
    ( product(a,quotient(c,a)) != difference(quotient(c,a),product(a,b))
    | difference(b,c) = difference(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_13792]) ).

cnf(refute_0_13794,plain,
    difference(b,c) = difference(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(quotient(c,a),product(a,b))) )],[refute_0_13791,refute_0_13793]) ).

cnf(refute_0_13795,plain,
    ( difference(b,c) != difference(quotient(c,a),product(a,b))
    | difference(quotient(c,a),product(a,b)) = difference(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,c))),bind(Y,$fot(difference(quotient(c,a),product(a,b))))]]) ).

cnf(refute_0_13796,plain,
    difference(quotient(c,a),product(a,b)) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(b,c),difference(quotient(c,a),product(a,b))) )],[refute_0_13794,refute_0_13795]) ).

cnf(refute_0_13797,plain,
    ( bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != product(product(difference(quotient(c,a),product(a,b)),X_22),product(a,b))
    | difference(quotient(c,a),product(a,b)) != difference(b,c)
    | bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = product(product(difference(b,c),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),product(product(difference(quotient(c,a),product(a,b)),X_22),product(a,b))) ),[1,0,0],$fot(difference(b,c))]]) ).

cnf(refute_0_13798,plain,
    ( bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != product(product(difference(quotient(c,a),product(a,b)),X_22),product(a,b))
    | bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = product(product(difference(b,c),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(quotient(c,a),product(a,b)),difference(b,c)) )],[refute_0_13796,refute_0_13797]) ).

cnf(refute_0_13799,plain,
    bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = product(product(difference(b,c),X_22),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),product(product(difference(quotient(c,a),product(a,b)),X_22),product(a,b))) )],[refute_0_13763,refute_0_13798]) ).

cnf(refute_0_13800,plain,
    bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),
    introduced(tautology,[refl,[$fot(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)))]]) ).

cnf(refute_0_13801,plain,
    ( bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a))
    | difference(quotient(c,a),product(a,b)) != difference(b,c)
    | bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = bigC(difference(b,c),X_22,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_13802,plain,
    ( difference(quotient(c,a),product(a,b)) != difference(b,c)
    | bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = bigC(difference(b,c),X_22,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a))) )],[refute_0_13800,refute_0_13801]) ).

cnf(refute_0_13803,plain,
    bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) = bigC(difference(b,c),X_22,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(quotient(c,a),product(a,b)),difference(b,c)) )],[refute_0_13796,refute_0_13802]) ).

cnf(refute_0_13804,plain,
    ( bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != bigC(difference(b,c),X_22,quotient(c,a))
    | bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != product(product(difference(b,c),X_22),product(a,b))
    | bigC(difference(b,c),X_22,quotient(c,a)) = product(product(difference(b,c),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),product(product(difference(b,c),X_22),product(a,b))) ),[0],$fot(bigC(difference(b,c),X_22,quotient(c,a)))]]) ).

cnf(refute_0_13805,plain,
    ( bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != product(product(difference(b,c),X_22),product(a,b))
    | bigC(difference(b,c),X_22,quotient(c,a)) = product(product(difference(b,c),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),bigC(difference(b,c),X_22,quotient(c,a))) )],[refute_0_13803,refute_0_13804]) ).

cnf(refute_0_13806,plain,
    product(product(difference(b,c),B),product(a,D)) = product(product(difference(b,c),a),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(difference(b,c))),bind(C,$fot(a))]]) ).

cnf(refute_0_13807,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),B),product(a,D)) != product(product(difference(b,c),a),product(B,D))
    | product(product(difference(b,c),B),product(a,D)) = product(product(a,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),B),product(a,D)),product(product(difference(b,c),a),product(B,D))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_13808,plain,
    ( product(product(difference(b,c),B),product(a,D)) != product(product(difference(b,c),a),product(B,D))
    | product(product(difference(b,c),B),product(a,D)) = product(product(a,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_13662,refute_0_13807]) ).

cnf(refute_0_13809,plain,
    product(product(difference(b,c),B),product(a,D)) = product(product(a,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(a,D)),product(product(difference(b,c),a),product(B,D))) )],[refute_0_13806,refute_0_13808]) ).

cnf(refute_0_13810,plain,
    product(product(difference(b,c),X_22),product(a,b)) = product(product(a,c),product(X_22,b)),
    inference(subst,[],[refute_0_13809:[bind(B,$fot(X_22)),bind(D,$fot(b))]]) ).

cnf(refute_0_13811,plain,
    ( bigC(difference(b,c),X_22,quotient(c,a)) != product(product(difference(b,c),X_22),product(a,b))
    | product(product(difference(b,c),X_22),product(a,b)) != product(product(a,c),product(X_22,b))
    | bigC(difference(b,c),X_22,quotient(c,a)) = product(product(a,c),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),X_22,quotient(c,a)),product(product(a,c),product(X_22,b))) ),[0],$fot(product(product(difference(b,c),X_22),product(a,b)))]]) ).

cnf(refute_0_13812,plain,
    ( bigC(difference(b,c),X_22,quotient(c,a)) != product(product(difference(b,c),X_22),product(a,b))
    | bigC(difference(b,c),X_22,quotient(c,a)) = product(product(a,c),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_22),product(a,b)),product(product(a,c),product(X_22,b))) )],[refute_0_13810,refute_0_13811]) ).

cnf(refute_0_13813,plain,
    ( bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)) != product(product(difference(b,c),X_22),product(a,b))
    | bigC(difference(b,c),X_22,quotient(c,a)) = product(product(a,c),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),X_22,quotient(c,a)),product(product(difference(b,c),X_22),product(a,b))) )],[refute_0_13805,refute_0_13812]) ).

cnf(refute_0_13814,plain,
    bigC(difference(b,c),X_22,quotient(c,a)) = product(product(a,c),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,a),product(a,b)),X_22,quotient(c,a)),product(product(difference(b,c),X_22),product(a,b))) )],[refute_0_13799,refute_0_13813]) ).

cnf(refute_0_13815,plain,
    bigC(difference(b,c),b,quotient(c,a)) = product(product(a,c),product(b,b)),
    inference(subst,[],[refute_0_13814:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_13816,plain,
    ( bigC(difference(b,c),b,quotient(c,a)) != product(product(a,c),product(b,b))
    | product(product(a,c),product(b,b)) != product(product(a,c),b)
    | bigC(difference(b,c),b,quotient(c,a)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(b,c),b,quotient(c,a)))),bind(Y,$fot(product(product(a,c),product(b,b)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_13817,plain,
    ( product(product(a,c),product(b,b)) != product(product(a,c),b)
    | bigC(difference(b,c),b,quotient(c,a)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,quotient(c,a)),product(product(a,c),product(b,b))) )],[refute_0_13815,refute_0_13816]) ).

cnf(refute_0_13818,plain,
    bigC(difference(b,c),b,quotient(c,a)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(b,b)),product(product(a,c),b)) )],[refute_0_13762,refute_0_13817]) ).

cnf(refute_0_13819,plain,
    product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))))]]) ).

cnf(refute_0_13820,plain,
    ( bigC(difference(b,c),b,quotient(c,a)) != product(product(a,c),b)
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) != product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a)))
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_13821,plain,
    ( bigC(difference(b,c),b,quotient(c,a)) != product(product(a,c),b)
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a)))) )],[refute_0_13819,refute_0_13820]) ).

cnf(refute_0_13822,plain,
    product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,quotient(c,a)),product(product(a,c),b)) )],[refute_0_13818,refute_0_13821]) ).

cnf(refute_0_13823,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) != product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b))
    | product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) != difference(c,product(a,c))
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))))),bind(Y,$fot(product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)))),bind(Z,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_13824,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)) != difference(c,product(a,c))
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = difference(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b))) )],[refute_0_13822,refute_0_13823]) ).

cnf(refute_0_13825,plain,
    product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),product(product(a,c),b)),difference(c,product(a,c))) )],[refute_0_13756,refute_0_13824]) ).

cnf(refute_0_13826,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) != difference(b,c)
    | product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) != difference(c,product(a,c))
    | difference(c,product(a,c)) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),difference(b,c)) ),[0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_13827,plain,
    ( product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))) != difference(b,c)
    | difference(c,product(a,c)) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),difference(c,product(a,c))) )],[refute_0_13825,refute_0_13826]) ).

cnf(refute_0_13828,plain,
    difference(c,product(a,c)) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(a,difference(c,a))),bigC(difference(b,c),b,quotient(c,a))),difference(b,c)) )],[refute_0_13736,refute_0_13827]) ).

cnf(refute_0_13829,plain,
    difference(difference(c,product(a,c)),product(a,c)) = difference(difference(c,product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(a,c)),product(a,c)))]]) ).

cnf(refute_0_13830,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | difference(difference(c,product(a,c)),product(a,c)) != difference(difference(c,product(a,c)),product(a,c))
    | difference(difference(c,product(a,c)),product(a,c)) = difference(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(a,c)),product(a,c)),difference(difference(c,product(a,c)),product(a,c))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_13831,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | difference(difference(c,product(a,c)),product(a,c)) = difference(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(a,c)),difference(difference(c,product(a,c)),product(a,c))) )],[refute_0_13829,refute_0_13830]) ).

cnf(refute_0_13832,plain,
    difference(difference(c,product(a,c)),product(a,c)) = difference(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_13831]) ).

cnf(refute_0_13833,plain,
    ( difference(difference(b,c),product(a,c)) != a
    | difference(difference(c,product(a,c)),product(a,c)) != difference(difference(b,c),product(a,c))
    | difference(difference(c,product(a,c)),product(a,c)) = a ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(difference(c,product(a,c)),product(a,c)))),bind(Y,$fot(difference(difference(b,c),product(a,c)))),bind(Z,$fot(a))]]) ).

cnf(refute_0_13834,plain,
    ( difference(difference(b,c),product(a,c)) != a
    | difference(difference(c,product(a,c)),product(a,c)) = a ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(a,c)),difference(difference(b,c),product(a,c))) )],[refute_0_13832,refute_0_13833]) ).

cnf(refute_0_13835,plain,
    difference(difference(c,product(a,c)),product(a,c)) = a,
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(a,c)),a) )],[refute_0_13665,refute_0_13834]) ).

cnf(refute_0_13836,plain,
    product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))))]]) ).

cnf(refute_0_13837,plain,
    ( difference(difference(c,product(a,c)),product(a,c)) != a
    | product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) != product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))
    | product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_13838,plain,
    ( difference(difference(c,product(a,c)),product(a,c)) != a
    | product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_13836,refute_0_13837]) ).

cnf(refute_0_13839,plain,
    product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) = product(quotient(c,b),a),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),product(a,c)),a) )],[refute_0_13835,refute_0_13838]) ).

cnf(refute_0_13840,plain,
    ( product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))) != product(quotient(c,b),a)
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))
    | quotient(bigC(a,a,c),c) = product(quotient(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) ),[1],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_13841,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))
    | quotient(bigC(a,a,c),c) = product(quotient(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c))),product(quotient(c,b),a)) )],[refute_0_13839,refute_0_13840]) ).

cnf(refute_0_13842,plain,
    quotient(bigC(a,a,c),c) = product(quotient(c,b),a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),difference(difference(c,product(a,c)),product(a,c)))) )],[refute_0_12246,refute_0_13841]) ).

cnf(refute_0_13843,plain,
    quotient(c,quotient(bigC(a,a,c),c)) = quotient(c,quotient(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(c,quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_13844,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | quotient(c,quotient(bigC(a,a,c),c)) != quotient(c,quotient(bigC(a,a,c),c))
    | quotient(c,quotient(bigC(a,a,c),c)) = quotient(c,product(quotient(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,quotient(bigC(a,a,c),c)),quotient(c,quotient(bigC(a,a,c),c))) ),[1,1],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_13845,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | quotient(c,quotient(bigC(a,a,c),c)) = quotient(c,product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(quotient(c,quotient(bigC(a,a,c),c)),quotient(c,quotient(bigC(a,a,c),c))) )],[refute_0_13843,refute_0_13844]) ).

cnf(refute_0_13846,plain,
    quotient(c,quotient(bigC(a,a,c),c)) = quotient(c,product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_13845]) ).

cnf(refute_0_13847,plain,
    ( quotient(c,quotient(bigC(a,a,c),c)) != difference(c,product(a,product(c,b)))
    | quotient(c,quotient(bigC(a,a,c),c)) != quotient(c,product(quotient(c,b),a))
    | quotient(c,product(quotient(c,b),a)) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,quotient(bigC(a,a,c),c)),difference(c,product(a,product(c,b)))) ),[0],$fot(quotient(c,product(quotient(c,b),a)))]]) ).

cnf(refute_0_13848,plain,
    ( quotient(c,quotient(bigC(a,a,c),c)) != difference(c,product(a,product(c,b)))
    | quotient(c,product(quotient(c,b),a)) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,quotient(bigC(a,a,c),c)),quotient(c,product(quotient(c,b),a))) )],[refute_0_13846,refute_0_13847]) ).

cnf(refute_0_13849,plain,
    quotient(c,product(quotient(c,b),a)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(c,quotient(bigC(a,a,c),c)),difference(c,product(a,product(c,b)))) )],[refute_0_12144,refute_0_13848]) ).

cnf(refute_0_13850,plain,
    difference(product(quotient(c,b),b),bigC(quotient(c,b),b,quotient(a,c))) = product(quotient(a,c),quotient(c,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(quotient(c,b))),bind(X_22,$fot(b)),bind(X_23,$fot(quotient(a,c)))]]) ).

cnf(refute_0_13851,plain,
    bigC(quotient(c,b),b,quotient(a,c)) = product(c,product(quotient(a,c),quotient(c,b))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(quotient(a,c)))]]) ).

cnf(refute_0_13852,plain,
    bigC(quotient(a,c),quotient(a,c),c) = product(quotient(a,c),product(c,quotient(a,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(quotient(a,c))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_13853,plain,
    ( bigC(quotient(a,c),quotient(a,c),c) != product(quotient(a,c),product(c,quotient(a,c)))
    | product(c,quotient(a,c)) != difference(c,product(b,a))
    | bigC(quotient(a,c),quotient(a,c),c) = product(quotient(a,c),difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),quotient(a,c),c),product(quotient(a,c),product(c,quotient(a,c)))) ),[1,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_13854,plain,
    ( bigC(quotient(a,c),quotient(a,c),c) != product(quotient(a,c),product(c,quotient(a,c)))
    | bigC(quotient(a,c),quotient(a,c),c) = product(quotient(a,c),difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_13853]) ).

cnf(refute_0_13855,plain,
    bigC(quotient(a,c),quotient(a,c),c) = product(quotient(a,c),difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),quotient(a,c),c),product(quotient(a,c),product(c,quotient(a,c)))) )],[refute_0_13852,refute_0_13854]) ).

cnf(refute_0_13856,plain,
    bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)) = product(X_58,product(quotient(X_58,X_59),quotient(X_58,X_59))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(X_58)),bind(X_22,$fot(X_59)),bind(X_23,$fot(quotient(X_58,X_59)))]]) ).

cnf(refute_0_13857,plain,
    product(quotient(X_58,X_59),quotient(X_58,X_59)) = quotient(X_58,X_59),
    inference(subst,[],[sos06:[bind(A,$fot(quotient(X_58,X_59)))]]) ).

cnf(refute_0_13858,plain,
    ( bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)) != product(X_58,product(quotient(X_58,X_59),quotient(X_58,X_59)))
    | product(quotient(X_58,X_59),quotient(X_58,X_59)) != quotient(X_58,X_59)
    | bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)) = product(X_58,quotient(X_58,X_59)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)),product(X_58,product(quotient(X_58,X_59),quotient(X_58,X_59)))) ),[1,1],$fot(quotient(X_58,X_59))]]) ).

cnf(refute_0_13859,plain,
    ( bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)) != product(X_58,product(quotient(X_58,X_59),quotient(X_58,X_59)))
    | bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)) = product(X_58,quotient(X_58,X_59)) ),
    inference(resolve,[$cnf( $equal(product(quotient(X_58,X_59),quotient(X_58,X_59)),quotient(X_58,X_59)) )],[refute_0_13857,refute_0_13858]) ).

cnf(refute_0_13860,plain,
    bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)) = product(X_58,quotient(X_58,X_59)),
    inference(resolve,[$cnf( $equal(bigC(quotient(X_58,X_59),X_59,quotient(X_58,X_59)),product(X_58,product(quotient(X_58,X_59),quotient(X_58,X_59)))) )],[refute_0_13856,refute_0_13859]) ).

cnf(refute_0_13861,plain,
    bigC(quotient(a,c),c,quotient(a,c)) = product(a,quotient(a,c)),
    inference(subst,[],[refute_0_13860:[bind(X_58,$fot(a)),bind(X_59,$fot(c))]]) ).

cnf(refute_0_13862,plain,
    bigC(quotient(a,c),quotient(a,c),c) = bigC(quotient(a,c),c,quotient(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(quotient(a,c))),bind(B,$fot(c)),bind(C,$fot(quotient(a,c)))]]) ).

cnf(refute_0_13863,plain,
    ( bigC(quotient(a,c),c,quotient(a,c)) != product(a,quotient(a,c))
    | bigC(quotient(a,c),quotient(a,c),c) != bigC(quotient(a,c),c,quotient(a,c))
    | bigC(quotient(a,c),quotient(a,c),c) = product(a,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(a,c),quotient(a,c),c))),bind(Y,$fot(bigC(quotient(a,c),c,quotient(a,c)))),bind(Z,$fot(product(a,quotient(a,c))))]]) ).

cnf(refute_0_13864,plain,
    ( bigC(quotient(a,c),c,quotient(a,c)) != product(a,quotient(a,c))
    | bigC(quotient(a,c),quotient(a,c),c) = product(a,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),quotient(a,c),c),bigC(quotient(a,c),c,quotient(a,c))) )],[refute_0_13862,refute_0_13863]) ).

cnf(refute_0_13865,plain,
    bigC(quotient(a,c),quotient(a,c),c) = product(a,quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),c,quotient(a,c)),product(a,quotient(a,c))) )],[refute_0_13861,refute_0_13864]) ).

cnf(refute_0_13866,plain,
    ( bigC(quotient(a,c),quotient(a,c),c) != product(a,quotient(a,c))
    | bigC(quotient(a,c),quotient(a,c),c) != product(quotient(a,c),difference(c,product(b,a)))
    | product(a,quotient(a,c)) = product(quotient(a,c),difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),quotient(a,c),c),product(quotient(a,c),difference(c,product(b,a)))) ),[0],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_13867,plain,
    ( bigC(quotient(a,c),quotient(a,c),c) != product(quotient(a,c),difference(c,product(b,a)))
    | product(a,quotient(a,c)) = product(quotient(a,c),difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),quotient(a,c),c),product(a,quotient(a,c))) )],[refute_0_13865,refute_0_13866]) ).

cnf(refute_0_13868,plain,
    product(a,quotient(a,c)) = product(quotient(a,c),difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),quotient(a,c),c),product(quotient(a,c),difference(c,product(b,a)))) )],[refute_0_13855,refute_0_13867]) ).

cnf(refute_0_13869,plain,
    product(quotient(a,c),difference(c,product(b,a))) = product(quotient(a,c),difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(quotient(a,c),difference(c,product(b,a))))]]) ).

cnf(refute_0_13870,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(quotient(a,c),difference(c,product(b,a))) != product(quotient(a,c),difference(c,product(b,a)))
    | product(quotient(a,c),difference(c,product(b,a))) = product(quotient(a,c),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(a,c),difference(c,product(b,a))),product(quotient(a,c),difference(c,product(b,a)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_13871,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(quotient(a,c),difference(c,product(b,a))) = product(quotient(a,c),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),difference(c,product(b,a))),product(quotient(a,c),difference(c,product(b,a)))) )],[refute_0_13869,refute_0_13870]) ).

cnf(refute_0_13872,plain,
    product(quotient(a,c),difference(c,product(b,a))) = product(quotient(a,c),quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13871]) ).

cnf(refute_0_13873,plain,
    ( product(a,quotient(a,c)) != product(quotient(a,c),difference(c,product(b,a)))
    | product(quotient(a,c),difference(c,product(b,a))) != product(quotient(a,c),quotient(c,b))
    | product(a,quotient(a,c)) = product(quotient(a,c),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,quotient(a,c)),product(quotient(a,c),quotient(c,b))) ),[0],$fot(product(quotient(a,c),difference(c,product(b,a))))]]) ).

cnf(refute_0_13874,plain,
    ( product(a,quotient(a,c)) != product(quotient(a,c),difference(c,product(b,a)))
    | product(a,quotient(a,c)) = product(quotient(a,c),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),difference(c,product(b,a))),product(quotient(a,c),quotient(c,b))) )],[refute_0_13872,refute_0_13873]) ).

cnf(refute_0_13875,plain,
    product(a,quotient(a,c)) = product(quotient(a,c),quotient(c,b)),
    inference(resolve,[$cnf( $equal(product(a,quotient(a,c)),product(quotient(a,c),difference(c,product(b,a)))) )],[refute_0_13868,refute_0_13874]) ).

cnf(refute_0_13876,plain,
    ( product(a,quotient(a,c)) != product(quotient(a,c),quotient(c,b))
    | product(quotient(a,c),quotient(c,b)) = product(a,quotient(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,quotient(a,c)))),bind(Y,$fot(product(quotient(a,c),quotient(c,b))))]]) ).

cnf(refute_0_13877,plain,
    product(quotient(a,c),quotient(c,b)) = product(a,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(a,quotient(a,c)),product(quotient(a,c),quotient(c,b))) )],[refute_0_13875,refute_0_13876]) ).

cnf(refute_0_13878,plain,
    ( bigC(quotient(c,b),b,quotient(a,c)) != product(c,product(quotient(a,c),quotient(c,b)))
    | product(quotient(a,c),quotient(c,b)) != product(a,quotient(a,c))
    | bigC(quotient(c,b),b,quotient(a,c)) = product(c,product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,b),b,quotient(a,c)),product(c,product(quotient(a,c),quotient(c,b)))) ),[1,1],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_13879,plain,
    ( bigC(quotient(c,b),b,quotient(a,c)) != product(c,product(quotient(a,c),quotient(c,b)))
    | bigC(quotient(c,b),b,quotient(a,c)) = product(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),quotient(c,b)),product(a,quotient(a,c))) )],[refute_0_13877,refute_0_13878]) ).

cnf(refute_0_13880,plain,
    bigC(quotient(c,b),b,quotient(a,c)) = product(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),b,quotient(a,c)),product(c,product(quotient(a,c),quotient(c,b)))) )],[refute_0_13851,refute_0_13879]) ).

cnf(refute_0_13881,plain,
    bigC(difference(a,product(b,a)),c,a) = product(product(difference(a,product(b,a)),c),product(b,a)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(b,a))),bind(X_22,$fot(c)),bind(X_23,$fot(a))]]) ).

cnf(refute_0_13882,plain,
    product(quotient(quotient(c,b),c),c) = quotient(c,b),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(c,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_13883,plain,
    difference(c,product(c,quotient(quotient(c,b),c))) = quotient(quotient(c,b),c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(quotient(c,b),c)))]]) ).

cnf(refute_0_13884,plain,
    difference(c,difference(product(quotient(c,b),c),c)) = product(c,quotient(quotient(c,b),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13885,plain,
    ( difference(c,difference(product(quotient(c,b),c),c)) != product(c,quotient(quotient(c,b),c))
    | product(quotient(c,b),c) != product(c,a)
    | difference(c,difference(product(c,a),c)) = product(c,quotient(quotient(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(quotient(c,b),c),c)),product(c,quotient(quotient(c,b),c))) ),[0,1,0],$fot(product(c,a))]]) ).

cnf(refute_0_13886,plain,
    ( difference(c,difference(product(quotient(c,b),c),c)) != product(c,quotient(quotient(c,b),c))
    | difference(c,difference(product(c,a),c)) = product(c,quotient(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),c),product(c,a)) )],[refute_0_2547,refute_0_13885]) ).

cnf(refute_0_13887,plain,
    difference(c,difference(product(c,a),c)) = product(c,quotient(quotient(c,b),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(quotient(c,b),c),c)),product(c,quotient(quotient(c,b),c))) )],[refute_0_13884,refute_0_13886]) ).

cnf(refute_0_13888,plain,
    difference(product(c,a),bigC(c,a,b)) = product(b,c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(a)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_13889,plain,
    ( bigC(c,a,b) != c
    | difference(product(c,a),bigC(c,a,b)) != product(b,c)
    | difference(product(c,a),c) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),bigC(c,a,b)),product(b,c)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_13890,plain,
    ( difference(product(c,a),bigC(c,a,b)) != product(b,c)
    | difference(product(c,a),c) = product(b,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_13889]) ).

cnf(refute_0_13891,plain,
    difference(product(c,a),c) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(c,a,b)),product(b,c)) )],[refute_0_13888,refute_0_13890]) ).

cnf(refute_0_13892,plain,
    difference(c,difference(product(c,a),c)) = difference(c,difference(product(c,a),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(product(c,a),c)))]]) ).

cnf(refute_0_13893,plain,
    ( difference(c,difference(product(c,a),c)) != difference(c,difference(product(c,a),c))
    | difference(product(c,a),c) != product(b,c)
    | difference(c,difference(product(c,a),c)) = difference(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(c,a),c)),difference(c,difference(product(c,a),c))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_13894,plain,
    ( difference(product(c,a),c) != product(b,c)
    | difference(c,difference(product(c,a),c)) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),c)),difference(c,difference(product(c,a),c))) )],[refute_0_13892,refute_0_13893]) ).

cnf(refute_0_13895,plain,
    difference(c,difference(product(c,a),c)) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_13891,refute_0_13894]) ).

cnf(refute_0_13896,plain,
    ( difference(c,difference(product(c,a),c)) != difference(c,product(b,c))
    | difference(c,difference(product(c,a),c)) != product(c,quotient(quotient(c,b),c))
    | difference(c,product(b,c)) = product(c,quotient(quotient(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(c,a),c)),product(c,quotient(quotient(c,b),c))) ),[0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_13897,plain,
    ( difference(c,difference(product(c,a),c)) != product(c,quotient(quotient(c,b),c))
    | difference(c,product(b,c)) = product(c,quotient(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),c)),difference(c,product(b,c))) )],[refute_0_13895,refute_0_13896]) ).

cnf(refute_0_13898,plain,
    difference(c,product(b,c)) = product(c,quotient(quotient(c,b),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),c)),product(c,quotient(quotient(c,b),c))) )],[refute_0_13887,refute_0_13897]) ).

cnf(refute_0_13899,plain,
    difference(a,product(a,difference(c,product(b,c)))) = difference(c,product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_13900,plain,
    ( difference(a,product(a,difference(c,product(b,c)))) != difference(c,product(b,c))
    | product(a,difference(c,product(b,c))) != c
    | difference(a,c) = difference(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,difference(c,product(b,c)))),difference(c,product(b,c))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_13901,plain,
    ( difference(a,product(a,difference(c,product(b,c)))) != difference(c,product(b,c))
    | difference(a,c) = difference(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,c))),c) )],[refute_0_13628,refute_0_13900]) ).

cnf(refute_0_13902,plain,
    difference(a,c) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(a,product(a,difference(c,product(b,c)))),difference(c,product(b,c))) )],[refute_0_13899,refute_0_13901]) ).

cnf(refute_0_13903,plain,
    ( difference(a,c) != difference(c,product(b,c))
    | difference(c,product(b,c)) = difference(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(a,c))),bind(Y,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_13904,plain,
    difference(c,product(b,c)) = difference(a,c),
    inference(resolve,[$cnf( $equal(difference(a,c),difference(c,product(b,c))) )],[refute_0_13902,refute_0_13903]) ).

cnf(refute_0_13905,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | difference(c,product(b,c)) != product(c,quotient(quotient(c,b),c))
    | difference(a,c) = product(c,quotient(quotient(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(b,c)),product(c,quotient(quotient(c,b),c))) ),[0],$fot(difference(a,c))]]) ).

cnf(refute_0_13906,plain,
    ( difference(c,product(b,c)) != product(c,quotient(quotient(c,b),c))
    | difference(a,c) = product(c,quotient(quotient(c,b),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),difference(a,c)) )],[refute_0_13904,refute_0_13905]) ).

cnf(refute_0_13907,plain,
    difference(a,c) = product(c,quotient(quotient(c,b),c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),product(c,quotient(quotient(c,b),c))) )],[refute_0_13898,refute_0_13906]) ).

cnf(refute_0_13908,plain,
    ( difference(a,c) != product(c,quotient(quotient(c,b),c))
    | product(c,quotient(quotient(c,b),c)) = difference(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(a,c))),bind(Y,$fot(product(c,quotient(quotient(c,b),c))))]]) ).

cnf(refute_0_13909,plain,
    product(c,quotient(quotient(c,b),c)) = difference(a,c),
    inference(resolve,[$cnf( $equal(difference(a,c),product(c,quotient(quotient(c,b),c))) )],[refute_0_13907,refute_0_13908]) ).

cnf(refute_0_13910,plain,
    ( difference(c,product(c,quotient(quotient(c,b),c))) != quotient(quotient(c,b),c)
    | product(c,quotient(quotient(c,b),c)) != difference(a,c)
    | difference(c,difference(a,c)) = quotient(quotient(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(quotient(c,b),c))),quotient(quotient(c,b),c)) ),[0,1],$fot(difference(a,c))]]) ).

cnf(refute_0_13911,plain,
    ( difference(c,product(c,quotient(quotient(c,b),c))) != quotient(quotient(c,b),c)
    | difference(c,difference(a,c)) = quotient(quotient(c,b),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(quotient(c,b),c)),difference(a,c)) )],[refute_0_13909,refute_0_13910]) ).

cnf(refute_0_13912,plain,
    difference(c,difference(a,c)) = quotient(quotient(c,b),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(quotient(c,b),c))),quotient(quotient(c,b),c)) )],[refute_0_13883,refute_0_13911]) ).

cnf(refute_0_13913,plain,
    quotient(product(difference(c,difference(a,c)),a),a) = difference(c,difference(a,c)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(c,difference(a,c)))),bind(B,$fot(a))]]) ).

cnf(refute_0_13914,plain,
    quotient(quotient(a,c),product(quotient(a,c),a)) = product(product(c,quotient(a,c)),quotient(a,c)),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(a)),bind(X_17,$fot(c))]]) ).

cnf(refute_0_13915,plain,
    ( product(c,quotient(a,c)) != difference(c,product(b,a))
    | quotient(quotient(a,c),product(quotient(a,c),a)) != product(product(c,quotient(a,c)),quotient(a,c))
    | quotient(quotient(a,c),product(quotient(a,c),a)) = product(difference(c,product(b,a)),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(a,c),product(quotient(a,c),a)),product(product(c,quotient(a,c)),quotient(a,c))) ),[1,0],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_13916,plain,
    ( quotient(quotient(a,c),product(quotient(a,c),a)) != product(product(c,quotient(a,c)),quotient(a,c))
    | quotient(quotient(a,c),product(quotient(a,c),a)) = product(difference(c,product(b,a)),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_13915]) ).

cnf(refute_0_13917,plain,
    quotient(quotient(a,c),product(quotient(a,c),a)) = product(difference(c,product(b,a)),quotient(a,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(a,c),product(quotient(a,c),a)),product(product(c,quotient(a,c)),quotient(a,c))) )],[refute_0_13914,refute_0_13916]) ).

cnf(refute_0_13918,plain,
    quotient(quotient(a,c),product(quotient(a,c),a)) = product(difference(c,difference(a,c)),a),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(a)),bind(X_21,$fot(c))]]) ).

cnf(refute_0_13919,plain,
    ( quotient(quotient(a,c),product(quotient(a,c),a)) != product(difference(c,difference(a,c)),a)
    | quotient(quotient(a,c),product(quotient(a,c),a)) != product(difference(c,product(b,a)),quotient(a,c))
    | product(difference(c,difference(a,c)),a) = product(difference(c,product(b,a)),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(a,c),product(quotient(a,c),a)),product(difference(c,product(b,a)),quotient(a,c))) ),[0],$fot(product(difference(c,difference(a,c)),a))]]) ).

cnf(refute_0_13920,plain,
    ( quotient(quotient(a,c),product(quotient(a,c),a)) != product(difference(c,product(b,a)),quotient(a,c))
    | product(difference(c,difference(a,c)),a) = product(difference(c,product(b,a)),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(a,c),product(quotient(a,c),a)),product(difference(c,difference(a,c)),a)) )],[refute_0_13918,refute_0_13919]) ).

cnf(refute_0_13921,plain,
    product(difference(c,difference(a,c)),a) = product(difference(c,product(b,a)),quotient(a,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(a,c),product(quotient(a,c),a)),product(difference(c,product(b,a)),quotient(a,c))) )],[refute_0_13917,refute_0_13920]) ).

cnf(refute_0_13922,plain,
    product(difference(c,product(b,a)),quotient(a,c)) = product(difference(c,product(b,a)),quotient(a,c)),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,a)),quotient(a,c)))]]) ).

cnf(refute_0_13923,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),quotient(a,c)) != product(difference(c,product(b,a)),quotient(a,c))
    | product(difference(c,product(b,a)),quotient(a,c)) = product(quotient(c,b),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,a)),quotient(a,c)),product(difference(c,product(b,a)),quotient(a,c))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_13924,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),quotient(a,c)) = product(quotient(c,b),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),quotient(a,c)),product(difference(c,product(b,a)),quotient(a,c))) )],[refute_0_13922,refute_0_13923]) ).

cnf(refute_0_13925,plain,
    product(difference(c,product(b,a)),quotient(a,c)) = product(quotient(c,b),quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13924]) ).

cnf(refute_0_13926,plain,
    ( product(difference(c,difference(a,c)),a) != product(difference(c,product(b,a)),quotient(a,c))
    | product(difference(c,product(b,a)),quotient(a,c)) != product(quotient(c,b),quotient(a,c))
    | product(difference(c,difference(a,c)),a) = product(quotient(c,b),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(difference(c,difference(a,c)),a),product(quotient(c,b),quotient(a,c))) ),[0],$fot(product(difference(c,product(b,a)),quotient(a,c)))]]) ).

cnf(refute_0_13927,plain,
    ( product(difference(c,difference(a,c)),a) != product(difference(c,product(b,a)),quotient(a,c))
    | product(difference(c,difference(a,c)),a) = product(quotient(c,b),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),quotient(a,c)),product(quotient(c,b),quotient(a,c))) )],[refute_0_13925,refute_0_13926]) ).

cnf(refute_0_13928,plain,
    product(difference(c,difference(a,c)),a) = product(quotient(c,b),quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(a,c)),a),product(difference(c,product(b,a)),quotient(a,c))) )],[refute_0_13921,refute_0_13927]) ).

cnf(refute_0_13929,plain,
    ( product(difference(c,difference(a,c)),a) != product(quotient(c,b),quotient(a,c))
    | quotient(product(difference(c,difference(a,c)),a),a) != difference(c,difference(a,c))
    | quotient(product(quotient(c,b),quotient(a,c)),a) = difference(c,difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(c,difference(a,c)),a),a),difference(c,difference(a,c))) ),[0,0],$fot(product(quotient(c,b),quotient(a,c)))]]) ).

cnf(refute_0_13930,plain,
    ( quotient(product(difference(c,difference(a,c)),a),a) != difference(c,difference(a,c))
    | quotient(product(quotient(c,b),quotient(a,c)),a) = difference(c,difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(a,c)),a),product(quotient(c,b),quotient(a,c))) )],[refute_0_13928,refute_0_13929]) ).

cnf(refute_0_13931,plain,
    quotient(product(quotient(c,b),quotient(a,c)),a) = difference(c,difference(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(c,difference(a,c)),a),a),difference(c,difference(a,c))) )],[refute_0_13913,refute_0_13930]) ).

cnf(refute_0_13932,plain,
    quotient(quotient(a,product(a,b)),a) = difference(a,product(b,a)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(a)),bind(X_29,$fot(b))]]) ).

cnf(refute_0_13933,plain,
    difference(a,bigC(a,a,difference(c,difference(a,c)))) = product(difference(c,difference(a,c)),a),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(a)),bind(X_37,$fot(difference(c,difference(a,c))))]]) ).

cnf(refute_0_13934,plain,
    bigC(a,a,difference(c,difference(a,c))) = product(a,product(difference(c,difference(a,c)),a)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(a)),bind(X_23,$fot(difference(c,difference(a,c))))]]) ).

cnf(refute_0_13935,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(a,product(difference(c,difference(a,c)),a))
    | product(difference(c,difference(a,c)),a) != product(quotient(c,b),quotient(a,c))
    | bigC(a,a,difference(c,difference(a,c))) = product(a,product(quotient(c,b),quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,a,difference(c,difference(a,c))),product(a,product(difference(c,difference(a,c)),a))) ),[1,1],$fot(product(quotient(c,b),quotient(a,c)))]]) ).

cnf(refute_0_13936,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(a,product(difference(c,difference(a,c)),a))
    | bigC(a,a,difference(c,difference(a,c))) = product(a,product(quotient(c,b),quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(a,c)),a),product(quotient(c,b),quotient(a,c))) )],[refute_0_13928,refute_0_13935]) ).

cnf(refute_0_13937,plain,
    bigC(a,a,difference(c,difference(a,c))) = product(a,product(quotient(c,b),quotient(a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(a,c))),product(a,product(difference(c,difference(a,c)),a))) )],[refute_0_13934,refute_0_13936]) ).

cnf(refute_0_13938,plain,
    bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(quotient(a,c),difference(c,product(b,a))),product(C,quotient(a,c))),
    inference(subst,[],[sos08:[bind(A,$fot(quotient(a,c))),bind(B,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_13939,plain,
    ( product(a,quotient(a,c)) != product(quotient(a,c),difference(c,product(b,a)))
    | product(quotient(a,c),difference(c,product(b,a))) = product(a,quotient(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,quotient(a,c)))),bind(Y,$fot(product(quotient(a,c),difference(c,product(b,a)))))]]) ).

cnf(refute_0_13940,plain,
    product(quotient(a,c),difference(c,product(b,a))) = product(a,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(a,quotient(a,c)),product(quotient(a,c),difference(c,product(b,a)))) )],[refute_0_13868,refute_0_13939]) ).

cnf(refute_0_13941,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != product(product(quotient(a,c),difference(c,product(b,a))),product(C,quotient(a,c)))
    | product(quotient(a,c),difference(c,product(b,a))) != product(a,quotient(a,c))
    | bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(a,quotient(a,c)),product(C,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),product(product(quotient(a,c),difference(c,product(b,a))),product(C,quotient(a,c)))) ),[1,0],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_13942,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != product(product(quotient(a,c),difference(c,product(b,a))),product(C,quotient(a,c)))
    | bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(a,quotient(a,c)),product(C,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),difference(c,product(b,a))),product(a,quotient(a,c))) )],[refute_0_13940,refute_0_13941]) ).

cnf(refute_0_13943,plain,
    bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(a,quotient(a,c)),product(C,quotient(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),product(product(quotient(a,c),difference(c,product(b,a))),product(C,quotient(a,c)))) )],[refute_0_13938,refute_0_13942]) ).

cnf(refute_0_13944,plain,
    product(product(a,quotient(a,c)),product(C,quotient(a,c))) = product(product(a,C),quotient(a,c)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(C)),bind(X_66,$fot(quotient(a,c)))]]) ).

cnf(refute_0_13945,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != product(product(a,quotient(a,c)),product(C,quotient(a,c)))
    | product(product(a,quotient(a,c)),product(C,quotient(a,c))) != product(product(a,C),quotient(a,c))
    | bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(a,C),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),product(product(a,C),quotient(a,c))) ),[0],$fot(product(product(a,quotient(a,c)),product(C,quotient(a,c))))]]) ).

cnf(refute_0_13946,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != product(product(a,quotient(a,c)),product(C,quotient(a,c)))
    | bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(a,C),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),product(C,quotient(a,c))),product(product(a,C),quotient(a,c))) )],[refute_0_13944,refute_0_13945]) ).

cnf(refute_0_13947,plain,
    bigC(quotient(a,c),difference(c,product(b,a)),C) = product(product(a,C),quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),product(product(a,quotient(a,c)),product(C,quotient(a,c)))) )],[refute_0_13943,refute_0_13946]) ).

cnf(refute_0_13948,plain,
    bigC(quotient(a,c),difference(c,product(b,a)),C) = bigC(quotient(a,c),difference(c,product(b,a)),C),
    introduced(tautology,[refl,[$fot(bigC(quotient(a,c),difference(c,product(b,a)),C))]]) ).

cnf(refute_0_13949,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != bigC(quotient(a,c),difference(c,product(b,a)),C)
    | difference(c,product(b,a)) != quotient(c,b)
    | bigC(quotient(a,c),difference(c,product(b,a)),C) = bigC(quotient(a,c),quotient(c,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),bigC(quotient(a,c),difference(c,product(b,a)),C)) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_13950,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | bigC(quotient(a,c),difference(c,product(b,a)),C) = bigC(quotient(a,c),quotient(c,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),bigC(quotient(a,c),difference(c,product(b,a)),C)) )],[refute_0_13948,refute_0_13949]) ).

cnf(refute_0_13951,plain,
    bigC(quotient(a,c),difference(c,product(b,a)),C) = bigC(quotient(a,c),quotient(c,b),C),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13950]) ).

cnf(refute_0_13952,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != bigC(quotient(a,c),quotient(c,b),C)
    | bigC(quotient(a,c),difference(c,product(b,a)),C) != product(product(a,C),quotient(a,c))
    | bigC(quotient(a,c),quotient(c,b),C) = product(product(a,C),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),product(product(a,C),quotient(a,c))) ),[0],$fot(bigC(quotient(a,c),quotient(c,b),C))]]) ).

cnf(refute_0_13953,plain,
    ( bigC(quotient(a,c),difference(c,product(b,a)),C) != product(product(a,C),quotient(a,c))
    | bigC(quotient(a,c),quotient(c,b),C) = product(product(a,C),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),bigC(quotient(a,c),quotient(c,b),C)) )],[refute_0_13951,refute_0_13952]) ).

cnf(refute_0_13954,plain,
    bigC(quotient(a,c),quotient(c,b),C) = product(product(a,C),quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),difference(c,product(b,a)),C),product(product(a,C),quotient(a,c))) )],[refute_0_13947,refute_0_13953]) ).

cnf(refute_0_13955,plain,
    bigC(quotient(a,c),quotient(c,b),c) = product(product(a,c),quotient(a,c)),
    inference(subst,[],[refute_0_13954:[bind(C,$fot(c))]]) ).

cnf(refute_0_13956,plain,
    product(a,product(quotient(c,b),quotient(a,c))) = bigC(quotient(a,c),quotient(c,b),c),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(a)),bind(X_22,$fot(c)),bind(X_23,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13957,plain,
    ( bigC(quotient(a,c),quotient(c,b),c) != product(product(a,c),quotient(a,c))
    | product(a,product(quotient(c,b),quotient(a,c))) != bigC(quotient(a,c),quotient(c,b),c)
    | product(a,product(quotient(c,b),quotient(a,c))) = product(product(a,c),quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(a,product(quotient(c,b),quotient(a,c))))),bind(Y,$fot(bigC(quotient(a,c),quotient(c,b),c))),bind(Z,$fot(product(product(a,c),quotient(a,c))))]]) ).

cnf(refute_0_13958,plain,
    ( bigC(quotient(a,c),quotient(c,b),c) != product(product(a,c),quotient(a,c))
    | product(a,product(quotient(c,b),quotient(a,c))) = product(product(a,c),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,b),quotient(a,c))),bigC(quotient(a,c),quotient(c,b),c)) )],[refute_0_13956,refute_0_13957]) ).

cnf(refute_0_13959,plain,
    product(a,product(quotient(c,b),quotient(a,c))) = product(product(a,c),quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),quotient(c,b),c),product(product(a,c),quotient(a,c))) )],[refute_0_13955,refute_0_13958]) ).

cnf(refute_0_13960,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(a,product(quotient(c,b),quotient(a,c)))
    | product(a,product(quotient(c,b),quotient(a,c))) != product(product(a,c),quotient(a,c))
    | bigC(a,a,difference(c,difference(a,c))) = product(product(a,c),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,difference(c,difference(a,c))),product(product(a,c),quotient(a,c))) ),[0],$fot(product(a,product(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_13961,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(a,product(quotient(c,b),quotient(a,c)))
    | bigC(a,a,difference(c,difference(a,c))) = product(product(a,c),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,b),quotient(a,c))),product(product(a,c),quotient(a,c))) )],[refute_0_13959,refute_0_13960]) ).

cnf(refute_0_13962,plain,
    bigC(a,a,difference(c,difference(a,c))) = product(product(a,c),quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(a,c))),product(a,product(quotient(c,b),quotient(a,c)))) )],[refute_0_13937,refute_0_13961]) ).

cnf(refute_0_13963,plain,
    quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(quotient(a,c),quotient(c,b)),quotient(c,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(quotient(a,c))),bind(X_16,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13964,plain,
    ( product(quotient(a,c),quotient(c,b)) != product(a,quotient(a,c))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(quotient(a,c),quotient(c,b)),quotient(c,b))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(a,quotient(a,c)),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))),product(product(quotient(a,c),quotient(c,b)),quotient(c,b))) ),[1,0],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_13965,plain,
    ( quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(quotient(a,c),quotient(c,b)),quotient(c,b))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(a,quotient(a,c)),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),quotient(c,b)),product(a,quotient(a,c))) )],[refute_0_13877,refute_0_13964]) ).

cnf(refute_0_13966,plain,
    quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(a,quotient(a,c)),quotient(c,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))),product(product(quotient(a,c),quotient(c,b)),quotient(c,b))) )],[refute_0_13963,refute_0_13965]) ).

cnf(refute_0_13967,plain,
    bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),product(c,quotient(a,c))),
    inference(subst,[],[sos08:[bind(A,$fot(quotient(a,c))),bind(C,$fot(c))]]) ).

cnf(refute_0_13968,plain,
    ( bigC(quotient(a,c),B,c) != product(product(quotient(a,c),B),product(c,quotient(a,c)))
    | product(c,quotient(a,c)) != difference(c,product(b,a))
    | bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),B,c),product(product(quotient(a,c),B),product(c,quotient(a,c)))) ),[1,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_13969,plain,
    ( bigC(quotient(a,c),B,c) != product(product(quotient(a,c),B),product(c,quotient(a,c)))
    | bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_13968]) ).

cnf(refute_0_13970,plain,
    bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),B,c),product(product(quotient(a,c),B),product(c,quotient(a,c)))) )],[refute_0_13967,refute_0_13969]) ).

cnf(refute_0_13971,plain,
    product(product(quotient(a,c),B),difference(c,product(b,a))) = product(product(quotient(a,c),B),difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(quotient(a,c),B),difference(c,product(b,a))))]]) ).

cnf(refute_0_13972,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(product(quotient(a,c),B),difference(c,product(b,a))) != product(product(quotient(a,c),B),difference(c,product(b,a)))
    | product(product(quotient(a,c),B),difference(c,product(b,a))) = product(product(quotient(a,c),B),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(a,c),B),difference(c,product(b,a))),product(product(quotient(a,c),B),difference(c,product(b,a)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_13973,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(product(quotient(a,c),B),difference(c,product(b,a))) = product(product(quotient(a,c),B),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(a,c),B),difference(c,product(b,a))),product(product(quotient(a,c),B),difference(c,product(b,a)))) )],[refute_0_13971,refute_0_13972]) ).

cnf(refute_0_13974,plain,
    product(product(quotient(a,c),B),difference(c,product(b,a))) = product(product(quotient(a,c),B),quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_13973]) ).

cnf(refute_0_13975,plain,
    ( bigC(quotient(a,c),B,c) != product(product(quotient(a,c),B),difference(c,product(b,a)))
    | product(product(quotient(a,c),B),difference(c,product(b,a))) != product(product(quotient(a,c),B),quotient(c,b))
    | bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(a,c),B,c),product(product(quotient(a,c),B),quotient(c,b))) ),[0],$fot(product(product(quotient(a,c),B),difference(c,product(b,a))))]]) ).

cnf(refute_0_13976,plain,
    ( bigC(quotient(a,c),B,c) != product(product(quotient(a,c),B),difference(c,product(b,a)))
    | bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(a,c),B),difference(c,product(b,a))),product(product(quotient(a,c),B),quotient(c,b))) )],[refute_0_13974,refute_0_13975]) ).

cnf(refute_0_13977,plain,
    bigC(quotient(a,c),B,c) = product(product(quotient(a,c),B),quotient(c,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),B,c),product(product(quotient(a,c),B),difference(c,product(b,a)))) )],[refute_0_13970,refute_0_13976]) ).

cnf(refute_0_13978,plain,
    ( bigC(quotient(a,c),B,c) != product(product(quotient(a,c),B),quotient(c,b))
    | product(product(quotient(a,c),B),quotient(c,b)) = bigC(quotient(a,c),B,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(quotient(a,c),B,c))),bind(Y,$fot(product(product(quotient(a,c),B),quotient(c,b))))]]) ).

cnf(refute_0_13979,plain,
    product(product(quotient(a,c),B),quotient(c,b)) = bigC(quotient(a,c),B,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),B,c),product(product(quotient(a,c),B),quotient(c,b))) )],[refute_0_13977,refute_0_13978]) ).

cnf(refute_0_13980,plain,
    product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) = bigC(quotient(a,c),quotient(c,b),c),
    inference(subst,[],[refute_0_13979:[bind(B,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13981,plain,
    ( bigC(quotient(a,c),quotient(c,b),c) != product(product(a,c),quotient(a,c))
    | product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) != bigC(quotient(a,c),quotient(c,b),c)
    | product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) = product(product(a,c),quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(a,c),quotient(c,b)),quotient(c,b)))),bind(Y,$fot(bigC(quotient(a,c),quotient(c,b),c))),bind(Z,$fot(product(product(a,c),quotient(a,c))))]]) ).

cnf(refute_0_13982,plain,
    ( bigC(quotient(a,c),quotient(c,b),c) != product(product(a,c),quotient(a,c))
    | product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) = product(product(a,c),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(a,c),quotient(c,b)),quotient(c,b)),bigC(quotient(a,c),quotient(c,b),c)) )],[refute_0_13980,refute_0_13981]) ).

cnf(refute_0_13983,plain,
    product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) = product(product(a,c),quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),quotient(c,b),c),product(product(a,c),quotient(a,c))) )],[refute_0_13955,refute_0_13982]) ).

cnf(refute_0_13984,plain,
    ( product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) != product(product(a,c),quotient(a,c))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(quotient(a,c),quotient(c,b)),quotient(c,b))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(a,c),quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))))),bind(Y,$fot(product(product(quotient(a,c),quotient(c,b)),quotient(c,b)))),bind(Z,$fot(product(product(a,c),quotient(a,c))))]]) ).

cnf(refute_0_13985,plain,
    ( product(product(quotient(a,c),quotient(c,b)),quotient(c,b)) != product(product(a,c),quotient(a,c))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(a,c),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))),product(product(quotient(a,c),quotient(c,b)),quotient(c,b))) )],[refute_0_13963,refute_0_13984]) ).

cnf(refute_0_13986,plain,
    quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) = product(product(a,c),quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(product(quotient(a,c),quotient(c,b)),quotient(c,b)),product(product(a,c),quotient(a,c))) )],[refute_0_13983,refute_0_13985]) ).

cnf(refute_0_13987,plain,
    ( quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(a,c),quotient(a,c))
    | quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(a,quotient(a,c)),quotient(c,b))
    | product(product(a,c),quotient(a,c)) = product(product(a,quotient(a,c)),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))),product(product(a,quotient(a,c)),quotient(c,b))) ),[0],$fot(product(product(a,c),quotient(a,c)))]]) ).

cnf(refute_0_13988,plain,
    ( quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(a,quotient(a,c)),quotient(c,b))
    | product(product(a,c),quotient(a,c)) = product(product(a,quotient(a,c)),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))),product(product(a,c),quotient(a,c))) )],[refute_0_13986,refute_0_13987]) ).

cnf(refute_0_13989,plain,
    bigC(c,quotient(c,b),quotient(A,c)) = product(product(c,quotient(c,b)),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(c)),bind(X_22,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13990,plain,
    ( bigC(c,quotient(c,b),quotient(A,c)) != product(product(c,quotient(c,b)),A)
    | product(c,quotient(c,b)) != product(b,a)
    | bigC(c,quotient(c,b),quotient(A,c)) = product(product(b,a),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(c,b),quotient(A,c)),product(product(c,quotient(c,b)),A)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_13991,plain,
    ( bigC(c,quotient(c,b),quotient(A,c)) != product(product(c,quotient(c,b)),A)
    | bigC(c,quotient(c,b),quotient(A,c)) = product(product(b,a),A) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,b)),product(b,a)) )],[refute_0_13332,refute_0_13990]) ).

cnf(refute_0_13992,plain,
    bigC(c,quotient(c,b),quotient(A,c)) = product(product(b,a),A),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(c,b),quotient(A,c)),product(product(c,quotient(c,b)),A)) )],[refute_0_13989,refute_0_13991]) ).

cnf(refute_0_13993,plain,
    bigC(difference(quotient(c,b),product(c,a)),X_22,quotient(c,b)) = product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,a))),bind(X_23,$fot(quotient(c,b)))]]) ).

cnf(refute_0_13994,plain,
    difference(quotient(c,b),product(quotient(c,b),c)) = c,
    inference(subst,[],[sos01:[bind(A,$fot(quotient(c,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_13995,plain,
    ( difference(quotient(c,b),product(quotient(c,b),c)) != c
    | product(quotient(c,b),c) != product(c,a)
    | difference(quotient(c,b),product(c,a)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,b),product(quotient(c,b),c)),c) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_13996,plain,
    ( difference(quotient(c,b),product(quotient(c,b),c)) != c
    | difference(quotient(c,b),product(c,a)) = c ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),c),product(c,a)) )],[refute_0_2547,refute_0_13995]) ).

cnf(refute_0_13997,plain,
    difference(quotient(c,b),product(c,a)) = c,
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),product(quotient(c,b),c)),c) )],[refute_0_13994,refute_0_13996]) ).

cnf(refute_0_13998,plain,
    ( bigC(difference(quotient(c,b),product(c,a)),X_22,quotient(c,b)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | difference(quotient(c,b),product(c,a)) != c
    | bigC(c,X_22,quotient(c,b)) = product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(quotient(c,b),product(c,a)),X_22,quotient(c,b)),product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_13999,plain,
    ( bigC(difference(quotient(c,b),product(c,a)),X_22,quotient(c,b)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | bigC(c,X_22,quotient(c,b)) = product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),product(c,a)),c) )],[refute_0_13997,refute_0_13998]) ).

cnf(refute_0_14000,plain,
    bigC(c,X_22,quotient(c,b)) = product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,b),product(c,a)),X_22,quotient(c,b)),product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))) )],[refute_0_13993,refute_0_13999]) ).

cnf(refute_0_14001,plain,
    bigC(c,B,quotient(c,b)) = product(product(c,B),product(quotient(c,b),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(quotient(c,b)))]]) ).

cnf(refute_0_14002,plain,
    ( bigC(c,B,quotient(c,b)) != product(product(c,B),product(quotient(c,b),c))
    | product(quotient(c,b),c) != product(c,a)
    | bigC(c,B,quotient(c,b)) = product(product(c,B),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,quotient(c,b)),product(product(c,B),product(quotient(c,b),c))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_14003,plain,
    ( bigC(c,B,quotient(c,b)) != product(product(c,B),product(quotient(c,b),c))
    | bigC(c,B,quotient(c,b)) = product(product(c,B),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),c),product(c,a)) )],[refute_0_2547,refute_0_14002]) ).

cnf(refute_0_14004,plain,
    bigC(c,B,quotient(c,b)) = product(product(c,B),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,B,quotient(c,b)),product(product(c,B),product(quotient(c,b),c))) )],[refute_0_14001,refute_0_14003]) ).

cnf(refute_0_14005,plain,
    product(product(c,B),product(c,a)) = product(c,product(B,a)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(B)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_14006,plain,
    ( bigC(c,B,quotient(c,b)) != product(product(c,B),product(c,a))
    | product(product(c,B),product(c,a)) != product(c,product(B,a))
    | bigC(c,B,quotient(c,b)) = product(c,product(B,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,quotient(c,b)),product(c,product(B,a))) ),[0],$fot(product(product(c,B),product(c,a)))]]) ).

cnf(refute_0_14007,plain,
    ( bigC(c,B,quotient(c,b)) != product(product(c,B),product(c,a))
    | bigC(c,B,quotient(c,b)) = product(c,product(B,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,a)),product(c,product(B,a))) )],[refute_0_14005,refute_0_14006]) ).

cnf(refute_0_14008,plain,
    bigC(c,B,quotient(c,b)) = product(c,product(B,a)),
    inference(resolve,[$cnf( $equal(bigC(c,B,quotient(c,b)),product(product(c,B),product(c,a))) )],[refute_0_14004,refute_0_14007]) ).

cnf(refute_0_14009,plain,
    bigC(c,X_22,quotient(c,b)) = product(c,product(X_22,a)),
    inference(subst,[],[refute_0_14008:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_14010,plain,
    ( bigC(c,X_22,quotient(c,b)) != product(c,product(X_22,a))
    | bigC(c,X_22,quotient(c,b)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | product(c,product(X_22,a)) = product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,quotient(c,b)),product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))) ),[0],$fot(product(c,product(X_22,a)))]]) ).

cnf(refute_0_14011,plain,
    ( bigC(c,X_22,quotient(c,b)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | product(c,product(X_22,a)) = product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,quotient(c,b)),product(c,product(X_22,a))) )],[refute_0_14009,refute_0_14010]) ).

cnf(refute_0_14012,plain,
    bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) = bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22))]]) ).

cnf(refute_0_14013,plain,
    ( bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) != bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22)
    | difference(quotient(c,b),product(c,a)) != c
    | bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) = bigC(c,quotient(c,b),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22),bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_14014,plain,
    ( difference(quotient(c,b),product(c,a)) != c
    | bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) = bigC(c,quotient(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22),bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22)) )],[refute_0_14012,refute_0_14013]) ).

cnf(refute_0_14015,plain,
    bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) = bigC(c,quotient(c,b),X_22),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),product(c,a)),c) )],[refute_0_13997,refute_0_14014]) ).

cnf(refute_0_14016,plain,
    product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) = bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(product(c,a))),bind(X_23,$fot(quotient(c,b)))]]) ).

cnf(refute_0_14017,plain,
    ( bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) != bigC(c,quotient(c,b),X_22)
    | product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) != bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22)
    | product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) = bigC(c,quotient(c,b),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)))),bind(Y,$fot(bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22))),bind(Z,$fot(bigC(c,quotient(c,b),X_22)))]]) ).

cnf(refute_0_14018,plain,
    ( bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22) != bigC(c,quotient(c,b),X_22)
    | product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) = bigC(c,quotient(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)),bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22)) )],[refute_0_14016,refute_0_14017]) ).

cnf(refute_0_14019,plain,
    product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) = bigC(c,quotient(c,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(quotient(c,b),product(c,a)),quotient(c,b),X_22),bigC(c,quotient(c,b),X_22)) )],[refute_0_14015,refute_0_14018]) ).

cnf(refute_0_14020,plain,
    ( product(c,product(X_22,a)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)) != bigC(c,quotient(c,b),X_22)
    | product(c,product(X_22,a)) = bigC(c,quotient(c,b),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_22,a)),bigC(c,quotient(c,b),X_22)) ),[0],$fot(product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)))]]) ).

cnf(refute_0_14021,plain,
    ( product(c,product(X_22,a)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | product(c,product(X_22,a)) = bigC(c,quotient(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a)),bigC(c,quotient(c,b),X_22)) )],[refute_0_14019,refute_0_14020]) ).

cnf(refute_0_14022,plain,
    ( bigC(c,X_22,quotient(c,b)) != product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))
    | product(c,product(X_22,a)) = bigC(c,quotient(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_22,a)),product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))) )],[refute_0_14011,refute_0_14021]) ).

cnf(refute_0_14023,plain,
    product(c,product(X_22,a)) = bigC(c,quotient(c,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,quotient(c,b)),product(product(difference(quotient(c,b),product(c,a)),X_22),product(c,a))) )],[refute_0_14000,refute_0_14022]) ).

cnf(refute_0_14024,plain,
    ( product(c,product(X_22,a)) != bigC(c,quotient(c,b),X_22)
    | bigC(c,quotient(c,b),X_22) = product(c,product(X_22,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(X_22,a)))),bind(Y,$fot(bigC(c,quotient(c,b),X_22)))]]) ).

cnf(refute_0_14025,plain,
    bigC(c,quotient(c,b),X_22) = product(c,product(X_22,a)),
    inference(resolve,[$cnf( $equal(product(c,product(X_22,a)),bigC(c,quotient(c,b),X_22)) )],[refute_0_14023,refute_0_14024]) ).

cnf(refute_0_14026,plain,
    bigC(c,quotient(c,b),quotient(A,c)) = product(c,product(quotient(A,c),a)),
    inference(subst,[],[refute_0_14025:[bind(X_22,$fot(quotient(A,c)))]]) ).

cnf(refute_0_14027,plain,
    ( bigC(c,quotient(c,b),quotient(A,c)) != product(c,product(quotient(A,c),a))
    | bigC(c,quotient(c,b),quotient(A,c)) != product(product(b,a),A)
    | product(c,product(quotient(A,c),a)) = product(product(b,a),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(c,b),quotient(A,c)),product(product(b,a),A)) ),[0],$fot(product(c,product(quotient(A,c),a)))]]) ).

cnf(refute_0_14028,plain,
    ( bigC(c,quotient(c,b),quotient(A,c)) != product(product(b,a),A)
    | product(c,product(quotient(A,c),a)) = product(product(b,a),A) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(c,b),quotient(A,c)),product(c,product(quotient(A,c),a))) )],[refute_0_14026,refute_0_14027]) ).

cnf(refute_0_14029,plain,
    product(c,product(quotient(A,c),a)) = product(product(b,a),A),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(c,b),quotient(A,c)),product(product(b,a),A)) )],[refute_0_13992,refute_0_14028]) ).

cnf(refute_0_14030,plain,
    product(c,product(quotient(a,c),a)) = product(product(b,a),a),
    inference(subst,[],[refute_0_14029:[bind(A,$fot(a))]]) ).

cnf(refute_0_14031,plain,
    bigC(a,B,difference(c,product(b,c))) = product(product(a,B),product(difference(c,product(b,c)),a)),
    inference(subst,[],[sos08:[bind(A,$fot(a)),bind(C,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_14032,plain,
    ( bigC(a,B,difference(c,product(b,c))) != product(product(a,B),product(difference(c,product(b,c)),a))
    | product(difference(c,product(b,c)),a) != difference(b,difference(c,product(b,c)))
    | bigC(a,B,difference(c,product(b,c))) = product(product(a,B),difference(b,difference(c,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),product(product(a,B),product(difference(c,product(b,c)),a))) ),[1,1],$fot(difference(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_14033,plain,
    ( bigC(a,B,difference(c,product(b,c))) != product(product(a,B),product(difference(c,product(b,c)),a))
    | bigC(a,B,difference(c,product(b,c))) = product(product(a,B),difference(b,difference(c,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),a),difference(b,difference(c,product(b,c)))) )],[refute_0_13473,refute_0_14032]) ).

cnf(refute_0_14034,plain,
    bigC(a,B,difference(c,product(b,c))) = product(product(a,B),difference(b,difference(c,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),product(product(a,B),product(difference(c,product(b,c)),a))) )],[refute_0_14031,refute_0_14033]) ).

cnf(refute_0_14035,plain,
    product(product(a,B),difference(b,difference(c,product(b,c)))) = product(product(a,B),difference(b,difference(c,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,B),difference(b,difference(c,product(b,c)))))]]) ).

cnf(refute_0_14036,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | product(product(a,B),difference(b,difference(c,product(b,c)))) != product(product(a,B),difference(b,difference(c,product(b,c))))
    | product(product(a,B),difference(b,difference(c,product(b,c)))) = product(product(a,B),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),difference(b,difference(c,product(b,c)))),product(product(a,B),difference(b,difference(c,product(b,c))))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_14037,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | product(product(a,B),difference(b,difference(c,product(b,c)))) = product(product(a,B),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),difference(b,difference(c,product(b,c)))),product(product(a,B),difference(b,difference(c,product(b,c))))) )],[refute_0_14035,refute_0_14036]) ).

cnf(refute_0_14038,plain,
    product(product(a,B),difference(b,difference(c,product(b,c)))) = product(product(a,B),quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_14037]) ).

cnf(refute_0_14039,plain,
    ( bigC(a,B,difference(c,product(b,c))) != product(product(a,B),difference(b,difference(c,product(b,c))))
    | product(product(a,B),difference(b,difference(c,product(b,c)))) != product(product(a,B),quotient(c,b))
    | bigC(a,B,difference(c,product(b,c))) = product(product(a,B),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,B,difference(c,product(b,c))),product(product(a,B),quotient(c,b))) ),[0],$fot(product(product(a,B),difference(b,difference(c,product(b,c)))))]]) ).

cnf(refute_0_14040,plain,
    ( bigC(a,B,difference(c,product(b,c))) != product(product(a,B),difference(b,difference(c,product(b,c))))
    | bigC(a,B,difference(c,product(b,c))) = product(product(a,B),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),difference(b,difference(c,product(b,c)))),product(product(a,B),quotient(c,b))) )],[refute_0_14038,refute_0_14039]) ).

cnf(refute_0_14041,plain,
    bigC(a,B,difference(c,product(b,c))) = product(product(a,B),quotient(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),product(product(a,B),difference(b,difference(c,product(b,c))))) )],[refute_0_14034,refute_0_14040]) ).

cnf(refute_0_14042,plain,
    bigC(a,B,difference(a,c)) = product(c,product(B,a)),
    inference(subst,[],[refute_0_777:[bind(B,$fot(c)),bind(X_21,$fot(a)),bind(X_23,$fot(B))]]) ).

cnf(refute_0_14043,plain,
    bigC(a,B,difference(c,product(b,c))) = bigC(a,B,difference(c,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(a,B,difference(c,product(b,c))))]]) ).

cnf(refute_0_14044,plain,
    ( bigC(a,B,difference(c,product(b,c))) != bigC(a,B,difference(c,product(b,c)))
    | difference(c,product(b,c)) != difference(a,c)
    | bigC(a,B,difference(c,product(b,c))) = bigC(a,B,difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),bigC(a,B,difference(c,product(b,c)))) ),[1,2],$fot(difference(a,c))]]) ).

cnf(refute_0_14045,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | bigC(a,B,difference(c,product(b,c))) = bigC(a,B,difference(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),bigC(a,B,difference(c,product(b,c)))) )],[refute_0_14043,refute_0_14044]) ).

cnf(refute_0_14046,plain,
    bigC(a,B,difference(c,product(b,c))) = bigC(a,B,difference(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),difference(a,c)) )],[refute_0_13904,refute_0_14045]) ).

cnf(refute_0_14047,plain,
    ( bigC(a,B,difference(a,c)) != product(c,product(B,a))
    | bigC(a,B,difference(c,product(b,c))) != bigC(a,B,difference(a,c))
    | bigC(a,B,difference(c,product(b,c))) = product(c,product(B,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,B,difference(c,product(b,c))))),bind(Y,$fot(bigC(a,B,difference(a,c)))),bind(Z,$fot(product(c,product(B,a))))]]) ).

cnf(refute_0_14048,plain,
    ( bigC(a,B,difference(a,c)) != product(c,product(B,a))
    | bigC(a,B,difference(c,product(b,c))) = product(c,product(B,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),bigC(a,B,difference(a,c))) )],[refute_0_14046,refute_0_14047]) ).

cnf(refute_0_14049,plain,
    bigC(a,B,difference(c,product(b,c))) = product(c,product(B,a)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(a,c)),product(c,product(B,a))) )],[refute_0_14042,refute_0_14048]) ).

cnf(refute_0_14050,plain,
    ( bigC(a,B,difference(c,product(b,c))) != product(c,product(B,a))
    | bigC(a,B,difference(c,product(b,c))) != product(product(a,B),quotient(c,b))
    | product(c,product(B,a)) = product(product(a,B),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),product(product(a,B),quotient(c,b))) ),[0],$fot(product(c,product(B,a)))]]) ).

cnf(refute_0_14051,plain,
    ( bigC(a,B,difference(c,product(b,c))) != product(product(a,B),quotient(c,b))
    | product(c,product(B,a)) = product(product(a,B),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),product(c,product(B,a))) )],[refute_0_14049,refute_0_14050]) ).

cnf(refute_0_14052,plain,
    product(c,product(B,a)) = product(product(a,B),quotient(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,product(b,c))),product(product(a,B),quotient(c,b))) )],[refute_0_14041,refute_0_14051]) ).

cnf(refute_0_14053,plain,
    ( product(c,product(B,a)) != product(product(a,B),quotient(c,b))
    | product(product(a,B),quotient(c,b)) = product(c,product(B,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(B,a)))),bind(Y,$fot(product(product(a,B),quotient(c,b))))]]) ).

cnf(refute_0_14054,plain,
    product(product(a,B),quotient(c,b)) = product(c,product(B,a)),
    inference(resolve,[$cnf( $equal(product(c,product(B,a)),product(product(a,B),quotient(c,b))) )],[refute_0_14052,refute_0_14053]) ).

cnf(refute_0_14055,plain,
    product(product(a,quotient(a,c)),quotient(c,b)) = product(c,product(quotient(a,c),a)),
    inference(subst,[],[refute_0_14054:[bind(B,$fot(quotient(a,c)))]]) ).

cnf(refute_0_14056,plain,
    ( product(c,product(quotient(a,c),a)) != product(product(b,a),a)
    | product(product(a,quotient(a,c)),quotient(c,b)) != product(c,product(quotient(a,c),a))
    | product(product(a,quotient(a,c)),quotient(c,b)) = product(product(b,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,quotient(a,c)),quotient(c,b)))),bind(Y,$fot(product(c,product(quotient(a,c),a)))),bind(Z,$fot(product(product(b,a),a)))]]) ).

cnf(refute_0_14057,plain,
    ( product(c,product(quotient(a,c),a)) != product(product(b,a),a)
    | product(product(a,quotient(a,c)),quotient(c,b)) = product(product(b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),quotient(c,b)),product(c,product(quotient(a,c),a))) )],[refute_0_14055,refute_0_14056]) ).

cnf(refute_0_14058,plain,
    product(product(a,quotient(a,c)),quotient(c,b)) = product(product(b,a),a),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(a,c),a)),product(product(b,a),a)) )],[refute_0_14030,refute_0_14057]) ).

cnf(refute_0_14059,plain,
    ( product(product(a,c),quotient(a,c)) != product(product(a,quotient(a,c)),quotient(c,b))
    | product(product(a,quotient(a,c)),quotient(c,b)) != product(product(b,a),a)
    | product(product(a,c),quotient(a,c)) = product(product(b,a),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),quotient(a,c)),product(product(b,a),a)) ),[0],$fot(product(product(a,quotient(a,c)),quotient(c,b)))]]) ).

cnf(refute_0_14060,plain,
    ( product(product(a,c),quotient(a,c)) != product(product(a,quotient(a,c)),quotient(c,b))
    | product(product(a,c),quotient(a,c)) = product(product(b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),quotient(c,b)),product(product(b,a),a)) )],[refute_0_14058,refute_0_14059]) ).

cnf(refute_0_14061,plain,
    ( quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))) != product(product(a,quotient(a,c)),quotient(c,b))
    | product(product(a,c),quotient(a,c)) = product(product(b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(a,c)),product(product(a,quotient(a,c)),quotient(c,b))) )],[refute_0_13988,refute_0_14060]) ).

cnf(refute_0_14062,plain,
    product(product(a,c),quotient(a,c)) = product(product(b,a),a),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),product(quotient(c,b),product(quotient(c,b),quotient(a,c)))),product(product(a,quotient(a,c)),quotient(c,b))) )],[refute_0_13966,refute_0_14061]) ).

cnf(refute_0_14063,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(product(a,c),quotient(a,c))
    | product(product(a,c),quotient(a,c)) != product(product(b,a),a)
    | bigC(a,a,difference(c,difference(a,c))) = product(product(b,a),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,difference(c,difference(a,c))),product(product(b,a),a)) ),[0],$fot(product(product(a,c),quotient(a,c)))]]) ).

cnf(refute_0_14064,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(product(a,c),quotient(a,c))
    | bigC(a,a,difference(c,difference(a,c))) = product(product(b,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(a,c)),product(product(b,a),a)) )],[refute_0_14062,refute_0_14063]) ).

cnf(refute_0_14065,plain,
    bigC(a,a,difference(c,difference(a,c))) = product(product(b,a),a),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(a,c))),product(product(a,c),quotient(a,c))) )],[refute_0_13962,refute_0_14064]) ).

cnf(refute_0_14066,plain,
    ( bigC(a,a,difference(c,difference(a,c))) != product(product(b,a),a)
    | difference(a,bigC(a,a,difference(c,difference(a,c)))) != product(difference(c,difference(a,c)),a)
    | difference(a,product(product(b,a),a)) = product(difference(c,difference(a,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,bigC(a,a,difference(c,difference(a,c)))),product(difference(c,difference(a,c)),a)) ),[0,1],$fot(product(product(b,a),a))]]) ).

cnf(refute_0_14067,plain,
    ( difference(a,bigC(a,a,difference(c,difference(a,c)))) != product(difference(c,difference(a,c)),a)
    | difference(a,product(product(b,a),a)) = product(difference(c,difference(a,c)),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(a,c))),product(product(b,a),a)) )],[refute_0_14065,refute_0_14066]) ).

cnf(refute_0_14068,plain,
    difference(a,product(product(b,a),a)) = product(difference(c,difference(a,c)),a),
    inference(resolve,[$cnf( $equal(difference(a,bigC(a,a,difference(c,difference(a,c)))),product(difference(c,difference(a,c)),a)) )],[refute_0_13933,refute_0_14067]) ).

cnf(refute_0_14069,plain,
    difference(a,product(product(b,a),a)) = quotient(a,product(a,b)),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(b)),bind(X_18,$fot(a))]]) ).

cnf(refute_0_14070,plain,
    ( difference(a,product(product(b,a),a)) != product(difference(c,difference(a,c)),a)
    | difference(a,product(product(b,a),a)) != quotient(a,product(a,b))
    | quotient(a,product(a,b)) = product(difference(c,difference(a,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(product(b,a),a)),product(difference(c,difference(a,c)),a)) ),[0],$fot(quotient(a,product(a,b)))]]) ).

cnf(refute_0_14071,plain,
    ( difference(a,product(product(b,a),a)) != product(difference(c,difference(a,c)),a)
    | quotient(a,product(a,b)) = product(difference(c,difference(a,c)),a) ),
    inference(resolve,[$cnf( $equal(difference(a,product(product(b,a),a)),quotient(a,product(a,b))) )],[refute_0_14069,refute_0_14070]) ).

cnf(refute_0_14072,plain,
    ( product(difference(c,difference(a,c)),a) != product(quotient(c,b),quotient(a,c))
    | quotient(a,product(a,b)) != product(difference(c,difference(a,c)),a)
    | quotient(a,product(a,b)) = product(quotient(c,b),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(a,product(a,b)),product(difference(c,difference(a,c)),a)) ),[1],$fot(product(quotient(c,b),quotient(a,c)))]]) ).

cnf(refute_0_14073,plain,
    ( quotient(a,product(a,b)) != product(difference(c,difference(a,c)),a)
    | quotient(a,product(a,b)) = product(quotient(c,b),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(a,c)),a),product(quotient(c,b),quotient(a,c))) )],[refute_0_13928,refute_0_14072]) ).

cnf(refute_0_14074,plain,
    ( difference(a,product(product(b,a),a)) != product(difference(c,difference(a,c)),a)
    | quotient(a,product(a,b)) = product(quotient(c,b),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(a,product(a,b)),product(difference(c,difference(a,c)),a)) )],[refute_0_14071,refute_0_14073]) ).

cnf(refute_0_14075,plain,
    quotient(a,product(a,b)) = product(quotient(c,b),quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(a,product(product(b,a),a)),product(difference(c,difference(a,c)),a)) )],[refute_0_14068,refute_0_14074]) ).

cnf(refute_0_14076,plain,
    ( quotient(a,product(a,b)) != product(quotient(c,b),quotient(a,c))
    | product(quotient(c,b),quotient(a,c)) = quotient(a,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(a,product(a,b)))),bind(Y,$fot(product(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_14077,plain,
    product(quotient(c,b),quotient(a,c)) = quotient(a,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(a,product(a,b)),product(quotient(c,b),quotient(a,c))) )],[refute_0_14075,refute_0_14076]) ).

cnf(refute_0_14078,plain,
    quotient(product(quotient(c,b),quotient(a,c)),a) = quotient(product(quotient(c,b),quotient(a,c)),a),
    introduced(tautology,[refl,[$fot(quotient(product(quotient(c,b),quotient(a,c)),a))]]) ).

cnf(refute_0_14079,plain,
    ( product(quotient(c,b),quotient(a,c)) != quotient(a,product(a,b))
    | quotient(product(quotient(c,b),quotient(a,c)),a) != quotient(product(quotient(c,b),quotient(a,c)),a)
    | quotient(product(quotient(c,b),quotient(a,c)),a) = quotient(quotient(a,product(a,b)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(c,b),quotient(a,c)),a),quotient(product(quotient(c,b),quotient(a,c)),a)) ),[1,0],$fot(quotient(a,product(a,b)))]]) ).

cnf(refute_0_14080,plain,
    ( product(quotient(c,b),quotient(a,c)) != quotient(a,product(a,b))
    | quotient(product(quotient(c,b),quotient(a,c)),a) = quotient(quotient(a,product(a,b)),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,b),quotient(a,c)),a),quotient(product(quotient(c,b),quotient(a,c)),a)) )],[refute_0_14078,refute_0_14079]) ).

cnf(refute_0_14081,plain,
    quotient(product(quotient(c,b),quotient(a,c)),a) = quotient(quotient(a,product(a,b)),a),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),quotient(a,c)),quotient(a,product(a,b))) )],[refute_0_14077,refute_0_14080]) ).

cnf(refute_0_14082,plain,
    ( quotient(product(quotient(c,b),quotient(a,c)),a) != quotient(quotient(a,product(a,b)),a)
    | quotient(quotient(a,product(a,b)),a) != difference(a,product(b,a))
    | quotient(product(quotient(c,b),quotient(a,c)),a) = difference(a,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(quotient(c,b),quotient(a,c)),a))),bind(Y,$fot(quotient(quotient(a,product(a,b)),a))),bind(Z,$fot(difference(a,product(b,a))))]]) ).

cnf(refute_0_14083,plain,
    ( quotient(quotient(a,product(a,b)),a) != difference(a,product(b,a))
    | quotient(product(quotient(c,b),quotient(a,c)),a) = difference(a,product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,b),quotient(a,c)),a),quotient(quotient(a,product(a,b)),a)) )],[refute_0_14081,refute_0_14082]) ).

cnf(refute_0_14084,plain,
    quotient(product(quotient(c,b),quotient(a,c)),a) = difference(a,product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(a,product(a,b)),a),difference(a,product(b,a))) )],[refute_0_13932,refute_0_14083]) ).

cnf(refute_0_14085,plain,
    ( quotient(product(quotient(c,b),quotient(a,c)),a) != difference(a,product(b,a))
    | quotient(product(quotient(c,b),quotient(a,c)),a) != difference(c,difference(a,c))
    | difference(a,product(b,a)) = difference(c,difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(c,b),quotient(a,c)),a),difference(c,difference(a,c))) ),[0],$fot(difference(a,product(b,a)))]]) ).

cnf(refute_0_14086,plain,
    ( quotient(product(quotient(c,b),quotient(a,c)),a) != difference(c,difference(a,c))
    | difference(a,product(b,a)) = difference(c,difference(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,b),quotient(a,c)),a),difference(a,product(b,a))) )],[refute_0_14084,refute_0_14085]) ).

cnf(refute_0_14087,plain,
    difference(a,product(b,a)) = difference(c,difference(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(c,b),quotient(a,c)),a),difference(c,difference(a,c))) )],[refute_0_13931,refute_0_14086]) ).

cnf(refute_0_14088,plain,
    ( difference(a,product(b,a)) != difference(c,difference(a,c))
    | difference(c,difference(a,c)) = difference(a,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(a,product(b,a)))),bind(Y,$fot(difference(c,difference(a,c))))]]) ).

cnf(refute_0_14089,plain,
    difference(c,difference(a,c)) = difference(a,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(a,product(b,a)),difference(c,difference(a,c))) )],[refute_0_14087,refute_0_14088]) ).

cnf(refute_0_14090,plain,
    ( difference(c,difference(a,c)) != difference(a,product(b,a))
    | difference(c,difference(a,c)) != quotient(quotient(c,b),c)
    | difference(a,product(b,a)) = quotient(quotient(c,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(a,c)),quotient(quotient(c,b),c)) ),[0],$fot(difference(a,product(b,a)))]]) ).

cnf(refute_0_14091,plain,
    ( difference(c,difference(a,c)) != quotient(quotient(c,b),c)
    | difference(a,product(b,a)) = quotient(quotient(c,b),c) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(a,c)),difference(a,product(b,a))) )],[refute_0_14089,refute_0_14090]) ).

cnf(refute_0_14092,plain,
    difference(a,product(b,a)) = quotient(quotient(c,b),c),
    inference(resolve,[$cnf( $equal(difference(c,difference(a,c)),quotient(quotient(c,b),c)) )],[refute_0_13912,refute_0_14091]) ).

cnf(refute_0_14093,plain,
    ( difference(a,product(b,a)) != quotient(quotient(c,b),c)
    | quotient(quotient(c,b),c) = difference(a,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(a,product(b,a)))),bind(Y,$fot(quotient(quotient(c,b),c)))]]) ).

cnf(refute_0_14094,plain,
    quotient(quotient(c,b),c) = difference(a,product(b,a)),
    inference(resolve,[$cnf( $equal(difference(a,product(b,a)),quotient(quotient(c,b),c)) )],[refute_0_14092,refute_0_14093]) ).

cnf(refute_0_14095,plain,
    ( product(quotient(quotient(c,b),c),c) != quotient(c,b)
    | quotient(quotient(c,b),c) != difference(a,product(b,a))
    | product(difference(a,product(b,a)),c) = quotient(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(c,b),c),c),quotient(c,b)) ),[0,0],$fot(difference(a,product(b,a)))]]) ).

cnf(refute_0_14096,plain,
    ( product(quotient(quotient(c,b),c),c) != quotient(c,b)
    | product(difference(a,product(b,a)),c) = quotient(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),c),difference(a,product(b,a))) )],[refute_0_14094,refute_0_14095]) ).

cnf(refute_0_14097,plain,
    product(difference(a,product(b,a)),c) = quotient(c,b),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,b),c),c),quotient(c,b)) )],[refute_0_13882,refute_0_14096]) ).

cnf(refute_0_14098,plain,
    ( bigC(difference(a,product(b,a)),c,a) != product(product(difference(a,product(b,a)),c),product(b,a))
    | product(difference(a,product(b,a)),c) != quotient(c,b)
    | bigC(difference(a,product(b,a)),c,a) = product(quotient(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(a,product(b,a)),c,a),product(product(difference(a,product(b,a)),c),product(b,a))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14099,plain,
    ( bigC(difference(a,product(b,a)),c,a) != product(product(difference(a,product(b,a)),c),product(b,a))
    | bigC(difference(a,product(b,a)),c,a) = product(quotient(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(a,product(b,a)),c),quotient(c,b)) )],[refute_0_14097,refute_0_14098]) ).

cnf(refute_0_14100,plain,
    bigC(difference(a,product(b,a)),c,a) = product(quotient(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),c,a),product(product(difference(a,product(b,a)),c),product(b,a))) )],[refute_0_13881,refute_0_14099]) ).

cnf(refute_0_14101,plain,
    bigC(difference(c,difference(a,c)),a,c) = product(product(difference(c,difference(a,c)),a),difference(a,c)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(difference(a,c))),bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_14102,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != product(product(difference(c,difference(a,c)),a),difference(a,c))
    | product(difference(c,difference(a,c)),a) != product(quotient(c,b),quotient(a,c))
    | bigC(difference(c,difference(a,c)),a,c) = product(product(quotient(c,b),quotient(a,c)),difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),product(product(difference(c,difference(a,c)),a),difference(a,c))) ),[1,0],$fot(product(quotient(c,b),quotient(a,c)))]]) ).

cnf(refute_0_14103,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != product(product(difference(c,difference(a,c)),a),difference(a,c))
    | bigC(difference(c,difference(a,c)),a,c) = product(product(quotient(c,b),quotient(a,c)),difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(a,c)),a),product(quotient(c,b),quotient(a,c))) )],[refute_0_13928,refute_0_14102]) ).

cnf(refute_0_14104,plain,
    bigC(difference(c,difference(a,c)),a,c) = product(product(quotient(c,b),quotient(a,c)),difference(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),product(product(difference(c,difference(a,c)),a),difference(a,c))) )],[refute_0_14101,refute_0_14103]) ).

cnf(refute_0_14105,plain,
    bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(b,product(product(b,a),difference(product(c,b),product(b,a))))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(b,a),difference(product(c,b),product(b,a))))),bind(C,$fot(b))]]) ).

cnf(refute_0_14106,plain,
    ( bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(b,product(product(b,a),difference(product(c,b),product(b,a)))))
    | product(b,product(product(b,a),difference(product(c,b),product(b,a)))) != difference(c,product(b,c))
    | bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(b,product(product(b,a),difference(product(c,b),product(b,a)))))) ),[1,1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_14107,plain,
    ( bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(b,product(product(b,a),difference(product(c,b),product(b,a)))))
    | bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(b,a),difference(product(c,b),product(b,a)))),difference(c,product(b,c))) )],[refute_0_12537,refute_0_14106]) ).

cnf(refute_0_14108,plain,
    bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(b,product(product(b,a),difference(product(c,b),product(b,a)))))) )],[refute_0_14105,refute_0_14107]) ).

cnf(refute_0_14109,plain,
    ( product(difference(c,product(b,c)),a) != difference(b,difference(c,product(b,c)))
    | product(product(b,a),difference(product(c,b),product(b,a))) != product(difference(c,product(b,c)),a)
    | product(product(b,a),difference(product(c,b),product(b,a))) = difference(b,difference(c,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),difference(product(c,b),product(b,a))))),bind(Y,$fot(product(difference(c,product(b,c)),a))),bind(Z,$fot(difference(b,difference(c,product(b,c)))))]]) ).

cnf(refute_0_14110,plain,
    ( product(difference(c,product(b,c)),a) != difference(b,difference(c,product(b,c)))
    | product(product(b,a),difference(product(c,b),product(b,a))) = difference(b,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),product(difference(c,product(b,c)),a)) )],[refute_0_13468,refute_0_14109]) ).

cnf(refute_0_14111,plain,
    product(product(b,a),difference(product(c,b),product(b,a))) = difference(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),a),difference(b,difference(c,product(b,c)))) )],[refute_0_13473,refute_0_14110]) ).

cnf(refute_0_14112,plain,
    bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),
    introduced(tautology,[refl,[$fot(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b))]]) ).

cnf(refute_0_14113,plain,
    ( bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b)
    | product(product(b,a),difference(product(c,b),product(b,a))) != difference(b,difference(c,product(b,c)))
    | bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = bigC(difference(b,difference(c,product(b,c))),B,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b)) ),[1,0],$fot(difference(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_14114,plain,
    ( product(product(b,a),difference(product(c,b),product(b,a))) != difference(b,difference(c,product(b,c)))
    | bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = bigC(difference(b,difference(c,product(b,c))),B,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b)) )],[refute_0_14112,refute_0_14113]) ).

cnf(refute_0_14115,plain,
    bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) = bigC(difference(b,difference(c,product(b,c))),B,b),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),difference(b,difference(c,product(b,c)))) )],[refute_0_14111,refute_0_14114]) ).

cnf(refute_0_14116,plain,
    ( bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != bigC(difference(b,difference(c,product(b,c))),B,b)
    | bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))
    | bigC(difference(b,difference(c,product(b,c))),B,b) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))) ),[0],$fot(bigC(difference(b,difference(c,product(b,c))),B,b))]]) ).

cnf(refute_0_14117,plain,
    ( bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))
    | bigC(difference(b,difference(c,product(b,c))),B,b) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),bigC(difference(b,difference(c,product(b,c))),B,b)) )],[refute_0_14115,refute_0_14116]) ).

cnf(refute_0_14118,plain,
    product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))) = bigC(difference(b,difference(c,product(b,c))),b,B),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(difference(c,product(b,c)))),bind(X_22,$fot(B)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_14119,plain,
    product(product(product(b,a),difference(product(c,b),product(b,a))),B) = product(product(product(b,a),difference(product(c,b),product(b,a))),B),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),difference(product(c,b),product(b,a))),B))]]) ).

cnf(refute_0_14120,plain,
    ( product(product(b,a),difference(product(c,b),product(b,a))) != difference(b,difference(c,product(b,c)))
    | product(product(product(b,a),difference(product(c,b),product(b,a))),B) != product(product(product(b,a),difference(product(c,b),product(b,a))),B)
    | product(product(product(b,a),difference(product(c,b),product(b,a))),B) = product(difference(b,difference(c,product(b,c))),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(product(product(b,a),difference(product(c,b),product(b,a))),B)) ),[1,0],$fot(difference(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_14121,plain,
    ( product(product(b,a),difference(product(c,b),product(b,a))) != difference(b,difference(c,product(b,c)))
    | product(product(product(b,a),difference(product(c,b),product(b,a))),B) = product(difference(b,difference(c,product(b,c))),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(product(product(b,a),difference(product(c,b),product(b,a))),B)) )],[refute_0_14119,refute_0_14120]) ).

cnf(refute_0_14122,plain,
    product(product(product(b,a),difference(product(c,b),product(b,a))),B) = product(difference(b,difference(c,product(b,c))),B),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),difference(b,difference(c,product(b,c)))) )],[refute_0_14111,refute_0_14121]) ).

cnf(refute_0_14123,plain,
    product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))))]]) ).

cnf(refute_0_14124,plain,
    ( product(product(product(b,a),difference(product(c,b),product(b,a))),B) != product(difference(b,difference(c,product(b,c))),B)
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))) ),[1,0],$fot(product(difference(b,difference(c,product(b,c))),B))]]) ).

cnf(refute_0_14125,plain,
    ( product(product(product(b,a),difference(product(c,b),product(b,a))),B) != product(difference(b,difference(c,product(b,c))),B)
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))) )],[refute_0_14123,refute_0_14124]) ).

cnf(refute_0_14126,plain,
    product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(product(c,b),product(b,a))),B),product(difference(b,difference(c,product(b,c))),B)) )],[refute_0_14122,refute_0_14125]) ).

cnf(refute_0_14127,plain,
    ( product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) != product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c)))
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))))),bind(Y,$fot(product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))))),bind(Z,$fot(bigC(difference(b,difference(c,product(b,c))),b,B)))]]) ).

cnf(refute_0_14128,plain,
    ( product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))),product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c)))) )],[refute_0_14126,refute_0_14127]) ).

cnf(refute_0_14129,plain,
    product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) = bigC(difference(b,difference(c,product(b,c))),b,B),
    inference(resolve,[$cnf( $equal(product(product(difference(b,difference(c,product(b,c))),B),difference(c,product(b,c))),bigC(difference(b,difference(c,product(b,c))),b,B)) )],[refute_0_14118,refute_0_14128]) ).

cnf(refute_0_14130,plain,
    ( bigC(difference(b,difference(c,product(b,c))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))
    | product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,difference(c,product(b,c))),B,b),bigC(difference(b,difference(c,product(b,c))),b,B)) ),[0],$fot(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))))]]) ).

cnf(refute_0_14131,plain,
    ( bigC(difference(b,difference(c,product(b,c))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))
    | bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c))),bigC(difference(b,difference(c,product(b,c))),b,B)) )],[refute_0_14129,refute_0_14130]) ).

cnf(refute_0_14132,plain,
    ( bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b) != product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))
    | bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),B,b),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))) )],[refute_0_14117,refute_0_14131]) ).

cnf(refute_0_14133,plain,
    bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(difference(b,difference(c,product(b,c))),b,B),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,a),difference(product(c,b),product(b,a))),B,b),product(product(product(product(b,a),difference(product(c,b),product(b,a))),B),difference(c,product(b,c)))) )],[refute_0_14108,refute_0_14132]) ).

cnf(refute_0_14134,plain,
    bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(difference(b,difference(c,product(b,c))),B,b),
    introduced(tautology,[refl,[$fot(bigC(difference(b,difference(c,product(b,c))),B,b))]]) ).

cnf(refute_0_14135,plain,
    ( bigC(difference(b,difference(c,product(b,c))),B,b) != bigC(difference(b,difference(c,product(b,c))),B,b)
    | difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(quotient(c,b),B,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),B,b),bigC(difference(b,difference(c,product(b,c))),B,b)) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14136,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(quotient(c,b),B,b) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),B,b),bigC(difference(b,difference(c,product(b,c))),B,b)) )],[refute_0_14134,refute_0_14135]) ).

cnf(refute_0_14137,plain,
    bigC(difference(b,difference(c,product(b,c))),B,b) = bigC(quotient(c,b),B,b),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_14136]) ).

cnf(refute_0_14138,plain,
    ( bigC(difference(b,difference(c,product(b,c))),B,b) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | bigC(difference(b,difference(c,product(b,c))),B,b) != bigC(quotient(c,b),B,b)
    | bigC(quotient(c,b),B,b) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),B,b),bigC(difference(b,difference(c,product(b,c))),b,B)) ),[0],$fot(bigC(quotient(c,b),B,b))]]) ).

cnf(refute_0_14139,plain,
    ( bigC(difference(b,difference(c,product(b,c))),B,b) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | bigC(quotient(c,b),B,b) = bigC(difference(b,difference(c,product(b,c))),b,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),B,b),bigC(quotient(c,b),B,b)) )],[refute_0_14137,refute_0_14138]) ).

cnf(refute_0_14140,plain,
    bigC(difference(b,difference(c,product(b,c))),b,B) = bigC(difference(b,difference(c,product(b,c))),b,B),
    introduced(tautology,[refl,[$fot(bigC(difference(b,difference(c,product(b,c))),b,B))]]) ).

cnf(refute_0_14141,plain,
    ( bigC(difference(b,difference(c,product(b,c))),b,B) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),b,B) = bigC(quotient(c,b),b,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),b,B),bigC(difference(b,difference(c,product(b,c))),b,B)) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14142,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),b,B) = bigC(quotient(c,b),b,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),b,B),bigC(difference(b,difference(c,product(b,c))),b,B)) )],[refute_0_14140,refute_0_14141]) ).

cnf(refute_0_14143,plain,
    bigC(difference(b,difference(c,product(b,c))),b,B) = bigC(quotient(c,b),b,B),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_14142]) ).

cnf(refute_0_14144,plain,
    ( bigC(difference(b,difference(c,product(b,c))),b,B) != bigC(quotient(c,b),b,B)
    | bigC(quotient(c,b),B,b) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | bigC(quotient(c,b),B,b) = bigC(quotient(c,b),b,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,b),B,b),bigC(difference(b,difference(c,product(b,c))),b,B)) ),[1],$fot(bigC(quotient(c,b),b,B))]]) ).

cnf(refute_0_14145,plain,
    ( bigC(quotient(c,b),B,b) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | bigC(quotient(c,b),B,b) = bigC(quotient(c,b),b,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),b,B),bigC(quotient(c,b),b,B)) )],[refute_0_14143,refute_0_14144]) ).

cnf(refute_0_14146,plain,
    ( bigC(difference(b,difference(c,product(b,c))),B,b) != bigC(difference(b,difference(c,product(b,c))),b,B)
    | bigC(quotient(c,b),B,b) = bigC(quotient(c,b),b,B) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),B,b),bigC(difference(b,difference(c,product(b,c))),b,B)) )],[refute_0_14139,refute_0_14145]) ).

cnf(refute_0_14147,plain,
    bigC(quotient(c,b),B,b) = bigC(quotient(c,b),b,B),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),B,b),bigC(difference(b,difference(c,product(b,c))),b,B)) )],[refute_0_14133,refute_0_14146]) ).

cnf(refute_0_14148,plain,
    bigC(quotient(c,b),quotient(a,c),b) = bigC(quotient(c,b),b,quotient(a,c)),
    inference(subst,[],[refute_0_14147:[bind(B,$fot(quotient(a,c)))]]) ).

cnf(refute_0_14149,plain,
    bigC(difference(b,difference(c,product(b,c))),X_22,b) = product(product(difference(b,difference(c,product(b,c))),X_22),difference(c,product(b,c))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(difference(c,product(b,c)))),bind(X_23,$fot(b))]]) ).

cnf(refute_0_14150,plain,
    ( bigC(difference(b,difference(c,product(b,c))),X_22,b) != product(product(difference(b,difference(c,product(b,c))),X_22),difference(c,product(b,c)))
    | difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),X_22,b) = product(product(quotient(c,b),X_22),difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),product(product(difference(b,difference(c,product(b,c))),X_22),difference(c,product(b,c)))) ),[1,0,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14151,plain,
    ( bigC(difference(b,difference(c,product(b,c))),X_22,b) != product(product(difference(b,difference(c,product(b,c))),X_22),difference(c,product(b,c)))
    | bigC(difference(b,difference(c,product(b,c))),X_22,b) = product(product(quotient(c,b),X_22),difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_14150]) ).

cnf(refute_0_14152,plain,
    bigC(difference(b,difference(c,product(b,c))),X_22,b) = product(product(quotient(c,b),X_22),difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),product(product(difference(b,difference(c,product(b,c))),X_22),difference(c,product(b,c)))) )],[refute_0_14149,refute_0_14151]) ).

cnf(refute_0_14153,plain,
    bigC(difference(b,difference(c,product(b,c))),X_22,b) = bigC(difference(b,difference(c,product(b,c))),X_22,b),
    introduced(tautology,[refl,[$fot(bigC(difference(b,difference(c,product(b,c))),X_22,b))]]) ).

cnf(refute_0_14154,plain,
    ( bigC(difference(b,difference(c,product(b,c))),X_22,b) != bigC(difference(b,difference(c,product(b,c))),X_22,b)
    | difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),X_22,b) = bigC(quotient(c,b),X_22,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),bigC(difference(b,difference(c,product(b,c))),X_22,b)) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14155,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | bigC(difference(b,difference(c,product(b,c))),X_22,b) = bigC(quotient(c,b),X_22,b) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),bigC(difference(b,difference(c,product(b,c))),X_22,b)) )],[refute_0_14153,refute_0_14154]) ).

cnf(refute_0_14156,plain,
    bigC(difference(b,difference(c,product(b,c))),X_22,b) = bigC(quotient(c,b),X_22,b),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_14155]) ).

cnf(refute_0_14157,plain,
    ( bigC(difference(b,difference(c,product(b,c))),X_22,b) != bigC(quotient(c,b),X_22,b)
    | bigC(difference(b,difference(c,product(b,c))),X_22,b) != product(product(quotient(c,b),X_22),difference(c,product(b,c)))
    | bigC(quotient(c,b),X_22,b) = product(product(quotient(c,b),X_22),difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),product(product(quotient(c,b),X_22),difference(c,product(b,c)))) ),[0],$fot(bigC(quotient(c,b),X_22,b))]]) ).

cnf(refute_0_14158,plain,
    ( bigC(difference(b,difference(c,product(b,c))),X_22,b) != product(product(quotient(c,b),X_22),difference(c,product(b,c)))
    | bigC(quotient(c,b),X_22,b) = product(product(quotient(c,b),X_22),difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),bigC(quotient(c,b),X_22,b)) )],[refute_0_14156,refute_0_14157]) ).

cnf(refute_0_14159,plain,
    bigC(quotient(c,b),X_22,b) = product(product(quotient(c,b),X_22),difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,difference(c,product(b,c))),X_22,b),product(product(quotient(c,b),X_22),difference(c,product(b,c)))) )],[refute_0_14152,refute_0_14158]) ).

cnf(refute_0_14160,plain,
    product(product(quotient(c,b),X_22),difference(c,product(b,c))) = product(product(quotient(c,b),X_22),difference(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(quotient(c,b),X_22),difference(c,product(b,c))))]]) ).

cnf(refute_0_14161,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | product(product(quotient(c,b),X_22),difference(c,product(b,c))) != product(product(quotient(c,b),X_22),difference(c,product(b,c)))
    | product(product(quotient(c,b),X_22),difference(c,product(b,c))) = product(product(quotient(c,b),X_22),difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,b),X_22),difference(c,product(b,c))),product(product(quotient(c,b),X_22),difference(c,product(b,c)))) ),[1,1],$fot(difference(a,c))]]) ).

cnf(refute_0_14162,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | product(product(quotient(c,b),X_22),difference(c,product(b,c))) = product(product(quotient(c,b),X_22),difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),X_22),difference(c,product(b,c))),product(product(quotient(c,b),X_22),difference(c,product(b,c)))) )],[refute_0_14160,refute_0_14161]) ).

cnf(refute_0_14163,plain,
    product(product(quotient(c,b),X_22),difference(c,product(b,c))) = product(product(quotient(c,b),X_22),difference(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),difference(a,c)) )],[refute_0_13904,refute_0_14162]) ).

cnf(refute_0_14164,plain,
    ( bigC(quotient(c,b),X_22,b) != product(product(quotient(c,b),X_22),difference(c,product(b,c)))
    | product(product(quotient(c,b),X_22),difference(c,product(b,c))) != product(product(quotient(c,b),X_22),difference(a,c))
    | bigC(quotient(c,b),X_22,b) = product(product(quotient(c,b),X_22),difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(c,b),X_22,b),product(product(quotient(c,b),X_22),difference(a,c))) ),[0],$fot(product(product(quotient(c,b),X_22),difference(c,product(b,c))))]]) ).

cnf(refute_0_14165,plain,
    ( bigC(quotient(c,b),X_22,b) != product(product(quotient(c,b),X_22),difference(c,product(b,c)))
    | bigC(quotient(c,b),X_22,b) = product(product(quotient(c,b),X_22),difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),X_22),difference(c,product(b,c))),product(product(quotient(c,b),X_22),difference(a,c))) )],[refute_0_14163,refute_0_14164]) ).

cnf(refute_0_14166,plain,
    bigC(quotient(c,b),X_22,b) = product(product(quotient(c,b),X_22),difference(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),X_22,b),product(product(quotient(c,b),X_22),difference(c,product(b,c)))) )],[refute_0_14159,refute_0_14165]) ).

cnf(refute_0_14167,plain,
    ( bigC(quotient(c,b),X_22,b) != product(product(quotient(c,b),X_22),difference(a,c))
    | product(product(quotient(c,b),X_22),difference(a,c)) = bigC(quotient(c,b),X_22,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(quotient(c,b),X_22,b))),bind(Y,$fot(product(product(quotient(c,b),X_22),difference(a,c))))]]) ).

cnf(refute_0_14168,plain,
    product(product(quotient(c,b),X_22),difference(a,c)) = bigC(quotient(c,b),X_22,b),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),X_22,b),product(product(quotient(c,b),X_22),difference(a,c))) )],[refute_0_14166,refute_0_14167]) ).

cnf(refute_0_14169,plain,
    product(product(quotient(c,b),quotient(a,c)),difference(a,c)) = bigC(quotient(c,b),quotient(a,c),b),
    inference(subst,[],[refute_0_14168:[bind(X_22,$fot(quotient(a,c)))]]) ).

cnf(refute_0_14170,plain,
    ( bigC(quotient(c,b),quotient(a,c),b) != bigC(quotient(c,b),b,quotient(a,c))
    | product(product(quotient(c,b),quotient(a,c)),difference(a,c)) != bigC(quotient(c,b),quotient(a,c),b)
    | product(product(quotient(c,b),quotient(a,c)),difference(a,c)) = bigC(quotient(c,b),b,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(c,b),quotient(a,c)),difference(a,c)))),bind(Y,$fot(bigC(quotient(c,b),quotient(a,c),b))),bind(Z,$fot(bigC(quotient(c,b),b,quotient(a,c))))]]) ).

cnf(refute_0_14171,plain,
    ( bigC(quotient(c,b),quotient(a,c),b) != bigC(quotient(c,b),b,quotient(a,c))
    | product(product(quotient(c,b),quotient(a,c)),difference(a,c)) = bigC(quotient(c,b),b,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),quotient(a,c)),difference(a,c)),bigC(quotient(c,b),quotient(a,c),b)) )],[refute_0_14169,refute_0_14170]) ).

cnf(refute_0_14172,plain,
    product(product(quotient(c,b),quotient(a,c)),difference(a,c)) = bigC(quotient(c,b),b,quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),quotient(a,c),b),bigC(quotient(c,b),b,quotient(a,c))) )],[refute_0_14148,refute_0_14171]) ).

cnf(refute_0_14173,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != product(product(quotient(c,b),quotient(a,c)),difference(a,c))
    | product(product(quotient(c,b),quotient(a,c)),difference(a,c)) != bigC(quotient(c,b),b,quotient(a,c))
    | bigC(difference(c,difference(a,c)),a,c) = bigC(quotient(c,b),b,quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,difference(a,c)),a,c),bigC(quotient(c,b),b,quotient(a,c))) ),[0],$fot(product(product(quotient(c,b),quotient(a,c)),difference(a,c)))]]) ).

cnf(refute_0_14174,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != product(product(quotient(c,b),quotient(a,c)),difference(a,c))
    | bigC(difference(c,difference(a,c)),a,c) = bigC(quotient(c,b),b,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),quotient(a,c)),difference(a,c)),bigC(quotient(c,b),b,quotient(a,c))) )],[refute_0_14172,refute_0_14173]) ).

cnf(refute_0_14175,plain,
    bigC(difference(c,difference(a,c)),a,c) = bigC(quotient(c,b),b,quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),product(product(quotient(c,b),quotient(a,c)),difference(a,c))) )],[refute_0_14104,refute_0_14174]) ).

cnf(refute_0_14176,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != bigC(quotient(c,b),b,quotient(a,c))
    | bigC(quotient(c,b),b,quotient(a,c)) != product(c,product(a,quotient(a,c)))
    | bigC(difference(c,difference(a,c)),a,c) = product(c,product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,difference(a,c)),a,c),product(c,product(a,quotient(a,c)))) ),[0],$fot(bigC(quotient(c,b),b,quotient(a,c)))]]) ).

cnf(refute_0_14177,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != bigC(quotient(c,b),b,quotient(a,c))
    | bigC(difference(c,difference(a,c)),a,c) = product(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),b,quotient(a,c)),product(c,product(a,quotient(a,c)))) )],[refute_0_13880,refute_0_14176]) ).

cnf(refute_0_14178,plain,
    bigC(difference(c,difference(a,c)),a,c) = product(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),bigC(quotient(c,b),b,quotient(a,c))) )],[refute_0_14175,refute_0_14177]) ).

cnf(refute_0_14179,plain,
    bigC(difference(c,difference(a,c)),a,c) = bigC(difference(c,difference(a,c)),a,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,difference(a,c)),a,c))]]) ).

cnf(refute_0_14180,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != bigC(difference(c,difference(a,c)),a,c)
    | difference(c,difference(a,c)) != difference(a,product(b,a))
    | bigC(difference(c,difference(a,c)),a,c) = bigC(difference(a,product(b,a)),a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),bigC(difference(c,difference(a,c)),a,c)) ),[1,0],$fot(difference(a,product(b,a)))]]) ).

cnf(refute_0_14181,plain,
    ( difference(c,difference(a,c)) != difference(a,product(b,a))
    | bigC(difference(c,difference(a,c)),a,c) = bigC(difference(a,product(b,a)),a,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),bigC(difference(c,difference(a,c)),a,c)) )],[refute_0_14179,refute_0_14180]) ).

cnf(refute_0_14182,plain,
    bigC(difference(c,difference(a,c)),a,c) = bigC(difference(a,product(b,a)),a,c),
    inference(resolve,[$cnf( $equal(difference(c,difference(a,c)),difference(a,product(b,a))) )],[refute_0_14089,refute_0_14181]) ).

cnf(refute_0_14183,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != bigC(difference(a,product(b,a)),a,c)
    | bigC(difference(c,difference(a,c)),a,c) != product(c,product(a,quotient(a,c)))
    | bigC(difference(a,product(b,a)),a,c) = product(c,product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),product(c,product(a,quotient(a,c)))) ),[0],$fot(bigC(difference(a,product(b,a)),a,c))]]) ).

cnf(refute_0_14184,plain,
    ( bigC(difference(c,difference(a,c)),a,c) != product(c,product(a,quotient(a,c)))
    | bigC(difference(a,product(b,a)),a,c) = product(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),bigC(difference(a,product(b,a)),a,c)) )],[refute_0_14182,refute_0_14183]) ).

cnf(refute_0_14185,plain,
    bigC(difference(a,product(b,a)),a,c) = product(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),a,c),product(c,product(a,quotient(a,c)))) )],[refute_0_14178,refute_0_14184]) ).

cnf(refute_0_14186,plain,
    bigC(quotient(quotient(c,b),c),B,c) = product(product(quotient(quotient(c,b),c),B),product(c,quotient(quotient(c,b),c))),
    inference(subst,[],[sos08:[bind(A,$fot(quotient(quotient(c,b),c))),bind(C,$fot(c))]]) ).

cnf(refute_0_14187,plain,
    ( bigC(quotient(quotient(c,b),c),B,c) != product(product(quotient(quotient(c,b),c),B),product(c,quotient(quotient(c,b),c)))
    | product(c,quotient(quotient(c,b),c)) != difference(a,c)
    | bigC(quotient(quotient(c,b),c),B,c) = product(product(quotient(quotient(c,b),c),B),difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),product(product(quotient(quotient(c,b),c),B),product(c,quotient(quotient(c,b),c)))) ),[1,1],$fot(difference(a,c))]]) ).

cnf(refute_0_14188,plain,
    ( bigC(quotient(quotient(c,b),c),B,c) != product(product(quotient(quotient(c,b),c),B),product(c,quotient(quotient(c,b),c)))
    | bigC(quotient(quotient(c,b),c),B,c) = product(product(quotient(quotient(c,b),c),B),difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(quotient(c,b),c)),difference(a,c)) )],[refute_0_13909,refute_0_14187]) ).

cnf(refute_0_14189,plain,
    bigC(quotient(quotient(c,b),c),B,c) = product(product(quotient(quotient(c,b),c),B),difference(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),product(product(quotient(quotient(c,b),c),B),product(c,quotient(quotient(c,b),c)))) )],[refute_0_14186,refute_0_14188]) ).

cnf(refute_0_14190,plain,
    ( difference(c,difference(a,c)) != quotient(quotient(c,b),c)
    | quotient(quotient(c,b),c) = difference(c,difference(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,difference(a,c)))),bind(Y,$fot(quotient(quotient(c,b),c)))]]) ).

cnf(refute_0_14191,plain,
    quotient(quotient(c,b),c) = difference(c,difference(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(a,c)),quotient(quotient(c,b),c)) )],[refute_0_13912,refute_0_14190]) ).

cnf(refute_0_14192,plain,
    bigC(quotient(quotient(c,b),c),B,c) = bigC(quotient(quotient(c,b),c),B,c),
    introduced(tautology,[refl,[$fot(bigC(quotient(quotient(c,b),c),B,c))]]) ).

cnf(refute_0_14193,plain,
    ( bigC(quotient(quotient(c,b),c),B,c) != bigC(quotient(quotient(c,b),c),B,c)
    | quotient(quotient(c,b),c) != difference(c,difference(a,c))
    | bigC(quotient(quotient(c,b),c),B,c) = bigC(difference(c,difference(a,c)),B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),bigC(quotient(quotient(c,b),c),B,c)) ),[1,0],$fot(difference(c,difference(a,c)))]]) ).

cnf(refute_0_14194,plain,
    ( quotient(quotient(c,b),c) != difference(c,difference(a,c))
    | bigC(quotient(quotient(c,b),c),B,c) = bigC(difference(c,difference(a,c)),B,c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),bigC(quotient(quotient(c,b),c),B,c)) )],[refute_0_14192,refute_0_14193]) ).

cnf(refute_0_14195,plain,
    bigC(quotient(quotient(c,b),c),B,c) = bigC(difference(c,difference(a,c)),B,c),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),c),difference(c,difference(a,c))) )],[refute_0_14191,refute_0_14194]) ).

cnf(refute_0_14196,plain,
    ( bigC(quotient(quotient(c,b),c),B,c) != bigC(difference(c,difference(a,c)),B,c)
    | bigC(quotient(quotient(c,b),c),B,c) != product(product(quotient(quotient(c,b),c),B),difference(a,c))
    | bigC(difference(c,difference(a,c)),B,c) = product(product(quotient(quotient(c,b),c),B),difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),product(product(quotient(quotient(c,b),c),B),difference(a,c))) ),[0],$fot(bigC(difference(c,difference(a,c)),B,c))]]) ).

cnf(refute_0_14197,plain,
    ( bigC(quotient(quotient(c,b),c),B,c) != product(product(quotient(quotient(c,b),c),B),difference(a,c))
    | bigC(difference(c,difference(a,c)),B,c) = product(product(quotient(quotient(c,b),c),B),difference(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),bigC(difference(c,difference(a,c)),B,c)) )],[refute_0_14195,refute_0_14196]) ).

cnf(refute_0_14198,plain,
    product(product(difference(c,difference(a,c)),B),difference(a,c)) = bigC(difference(c,difference(a,c)),c,B),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(difference(a,c))),bind(X_22,$fot(B)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_14199,plain,
    product(quotient(quotient(c,b),c),B) = product(quotient(quotient(c,b),c),B),
    introduced(tautology,[refl,[$fot(product(quotient(quotient(c,b),c),B))]]) ).

cnf(refute_0_14200,plain,
    ( product(quotient(quotient(c,b),c),B) != product(quotient(quotient(c,b),c),B)
    | quotient(quotient(c,b),c) != difference(c,difference(a,c))
    | product(quotient(quotient(c,b),c),B) = product(difference(c,difference(a,c)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(c,b),c),B),product(quotient(quotient(c,b),c),B)) ),[1,0],$fot(difference(c,difference(a,c)))]]) ).

cnf(refute_0_14201,plain,
    ( quotient(quotient(c,b),c) != difference(c,difference(a,c))
    | product(quotient(quotient(c,b),c),B) = product(difference(c,difference(a,c)),B) ),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,b),c),B),product(quotient(quotient(c,b),c),B)) )],[refute_0_14199,refute_0_14200]) ).

cnf(refute_0_14202,plain,
    product(quotient(quotient(c,b),c),B) = product(difference(c,difference(a,c)),B),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,b),c),difference(c,difference(a,c))) )],[refute_0_14191,refute_0_14201]) ).

cnf(refute_0_14203,plain,
    product(product(quotient(quotient(c,b),c),B),difference(a,c)) = product(product(quotient(quotient(c,b),c),B),difference(a,c)),
    introduced(tautology,[refl,[$fot(product(product(quotient(quotient(c,b),c),B),difference(a,c)))]]) ).

cnf(refute_0_14204,plain,
    ( product(product(quotient(quotient(c,b),c),B),difference(a,c)) != product(product(quotient(quotient(c,b),c),B),difference(a,c))
    | product(quotient(quotient(c,b),c),B) != product(difference(c,difference(a,c)),B)
    | product(product(quotient(quotient(c,b),c),B),difference(a,c)) = product(product(difference(c,difference(a,c)),B),difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(quotient(c,b),c),B),difference(a,c)),product(product(quotient(quotient(c,b),c),B),difference(a,c))) ),[1,0],$fot(product(difference(c,difference(a,c)),B))]]) ).

cnf(refute_0_14205,plain,
    ( product(quotient(quotient(c,b),c),B) != product(difference(c,difference(a,c)),B)
    | product(product(quotient(quotient(c,b),c),B),difference(a,c)) = product(product(difference(c,difference(a,c)),B),difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(quotient(c,b),c),B),difference(a,c)),product(product(quotient(quotient(c,b),c),B),difference(a,c))) )],[refute_0_14203,refute_0_14204]) ).

cnf(refute_0_14206,plain,
    product(product(quotient(quotient(c,b),c),B),difference(a,c)) = product(product(difference(c,difference(a,c)),B),difference(a,c)),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,b),c),B),product(difference(c,difference(a,c)),B)) )],[refute_0_14202,refute_0_14205]) ).

cnf(refute_0_14207,plain,
    ( product(product(difference(c,difference(a,c)),B),difference(a,c)) != bigC(difference(c,difference(a,c)),c,B)
    | product(product(quotient(quotient(c,b),c),B),difference(a,c)) != product(product(difference(c,difference(a,c)),B),difference(a,c))
    | product(product(quotient(quotient(c,b),c),B),difference(a,c)) = bigC(difference(c,difference(a,c)),c,B) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(quotient(c,b),c),B),difference(a,c)))),bind(Y,$fot(product(product(difference(c,difference(a,c)),B),difference(a,c)))),bind(Z,$fot(bigC(difference(c,difference(a,c)),c,B)))]]) ).

cnf(refute_0_14208,plain,
    ( product(product(difference(c,difference(a,c)),B),difference(a,c)) != bigC(difference(c,difference(a,c)),c,B)
    | product(product(quotient(quotient(c,b),c),B),difference(a,c)) = bigC(difference(c,difference(a,c)),c,B) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(quotient(c,b),c),B),difference(a,c)),product(product(difference(c,difference(a,c)),B),difference(a,c))) )],[refute_0_14206,refute_0_14207]) ).

cnf(refute_0_14209,plain,
    product(product(quotient(quotient(c,b),c),B),difference(a,c)) = bigC(difference(c,difference(a,c)),c,B),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(a,c)),B),difference(a,c)),bigC(difference(c,difference(a,c)),c,B)) )],[refute_0_14198,refute_0_14208]) ).

cnf(refute_0_14210,plain,
    ( bigC(difference(c,difference(a,c)),B,c) != product(product(quotient(quotient(c,b),c),B),difference(a,c))
    | product(product(quotient(quotient(c,b),c),B),difference(a,c)) != bigC(difference(c,difference(a,c)),c,B)
    | bigC(difference(c,difference(a,c)),B,c) = bigC(difference(c,difference(a,c)),c,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,difference(a,c)),B,c),bigC(difference(c,difference(a,c)),c,B)) ),[0],$fot(product(product(quotient(quotient(c,b),c),B),difference(a,c)))]]) ).

cnf(refute_0_14211,plain,
    ( bigC(difference(c,difference(a,c)),B,c) != product(product(quotient(quotient(c,b),c),B),difference(a,c))
    | bigC(difference(c,difference(a,c)),B,c) = bigC(difference(c,difference(a,c)),c,B) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(quotient(c,b),c),B),difference(a,c)),bigC(difference(c,difference(a,c)),c,B)) )],[refute_0_14209,refute_0_14210]) ).

cnf(refute_0_14212,plain,
    ( bigC(quotient(quotient(c,b),c),B,c) != product(product(quotient(quotient(c,b),c),B),difference(a,c))
    | bigC(difference(c,difference(a,c)),B,c) = bigC(difference(c,difference(a,c)),c,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),B,c),product(product(quotient(quotient(c,b),c),B),difference(a,c))) )],[refute_0_14197,refute_0_14211]) ).

cnf(refute_0_14213,plain,
    bigC(difference(c,difference(a,c)),B,c) = bigC(difference(c,difference(a,c)),c,B),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,b),c),B,c),product(product(quotient(quotient(c,b),c),B),difference(a,c))) )],[refute_0_14189,refute_0_14212]) ).

cnf(refute_0_14214,plain,
    bigC(difference(c,difference(a,c)),B,c) = bigC(difference(c,difference(a,c)),B,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,difference(a,c)),B,c))]]) ).

cnf(refute_0_14215,plain,
    ( bigC(difference(c,difference(a,c)),B,c) != bigC(difference(c,difference(a,c)),B,c)
    | difference(c,difference(a,c)) != difference(a,product(b,a))
    | bigC(difference(c,difference(a,c)),B,c) = bigC(difference(a,product(b,a)),B,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(a,c)),B,c),bigC(difference(c,difference(a,c)),B,c)) ),[1,0],$fot(difference(a,product(b,a)))]]) ).

cnf(refute_0_14216,plain,
    ( difference(c,difference(a,c)) != difference(a,product(b,a))
    | bigC(difference(c,difference(a,c)),B,c) = bigC(difference(a,product(b,a)),B,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),B,c),bigC(difference(c,difference(a,c)),B,c)) )],[refute_0_14214,refute_0_14215]) ).

cnf(refute_0_14217,plain,
    bigC(difference(c,difference(a,c)),B,c) = bigC(difference(a,product(b,a)),B,c),
    inference(resolve,[$cnf( $equal(difference(c,difference(a,c)),difference(a,product(b,a))) )],[refute_0_14089,refute_0_14216]) ).

cnf(refute_0_14218,plain,
    ( bigC(difference(c,difference(a,c)),B,c) != bigC(difference(a,product(b,a)),B,c)
    | bigC(difference(c,difference(a,c)),B,c) != bigC(difference(c,difference(a,c)),c,B)
    | bigC(difference(a,product(b,a)),B,c) = bigC(difference(c,difference(a,c)),c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(a,c)),B,c),bigC(difference(c,difference(a,c)),c,B)) ),[0],$fot(bigC(difference(a,product(b,a)),B,c))]]) ).

cnf(refute_0_14219,plain,
    ( bigC(difference(c,difference(a,c)),B,c) != bigC(difference(c,difference(a,c)),c,B)
    | bigC(difference(a,product(b,a)),B,c) = bigC(difference(c,difference(a,c)),c,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),B,c),bigC(difference(a,product(b,a)),B,c)) )],[refute_0_14217,refute_0_14218]) ).

cnf(refute_0_14220,plain,
    bigC(difference(c,difference(a,c)),c,B) = bigC(difference(c,difference(a,c)),c,B),
    introduced(tautology,[refl,[$fot(bigC(difference(c,difference(a,c)),c,B))]]) ).

cnf(refute_0_14221,plain,
    ( bigC(difference(c,difference(a,c)),c,B) != bigC(difference(c,difference(a,c)),c,B)
    | difference(c,difference(a,c)) != difference(a,product(b,a))
    | bigC(difference(c,difference(a,c)),c,B) = bigC(difference(a,product(b,a)),c,B) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(a,c)),c,B),bigC(difference(c,difference(a,c)),c,B)) ),[1,0],$fot(difference(a,product(b,a)))]]) ).

cnf(refute_0_14222,plain,
    ( difference(c,difference(a,c)) != difference(a,product(b,a))
    | bigC(difference(c,difference(a,c)),c,B) = bigC(difference(a,product(b,a)),c,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),c,B),bigC(difference(c,difference(a,c)),c,B)) )],[refute_0_14220,refute_0_14221]) ).

cnf(refute_0_14223,plain,
    bigC(difference(c,difference(a,c)),c,B) = bigC(difference(a,product(b,a)),c,B),
    inference(resolve,[$cnf( $equal(difference(c,difference(a,c)),difference(a,product(b,a))) )],[refute_0_14089,refute_0_14222]) ).

cnf(refute_0_14224,plain,
    ( bigC(difference(a,product(b,a)),B,c) != bigC(difference(c,difference(a,c)),c,B)
    | bigC(difference(c,difference(a,c)),c,B) != bigC(difference(a,product(b,a)),c,B)
    | bigC(difference(a,product(b,a)),B,c) = bigC(difference(a,product(b,a)),c,B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(a,product(b,a)),B,c),bigC(difference(a,product(b,a)),c,B)) ),[0],$fot(bigC(difference(c,difference(a,c)),c,B))]]) ).

cnf(refute_0_14225,plain,
    ( bigC(difference(a,product(b,a)),B,c) != bigC(difference(c,difference(a,c)),c,B)
    | bigC(difference(a,product(b,a)),B,c) = bigC(difference(a,product(b,a)),c,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),c,B),bigC(difference(a,product(b,a)),c,B)) )],[refute_0_14223,refute_0_14224]) ).

cnf(refute_0_14226,plain,
    ( bigC(difference(c,difference(a,c)),B,c) != bigC(difference(c,difference(a,c)),c,B)
    | bigC(difference(a,product(b,a)),B,c) = bigC(difference(a,product(b,a)),c,B) ),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),B,c),bigC(difference(c,difference(a,c)),c,B)) )],[refute_0_14219,refute_0_14225]) ).

cnf(refute_0_14227,plain,
    bigC(difference(a,product(b,a)),B,c) = bigC(difference(a,product(b,a)),c,B),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(a,c)),B,c),bigC(difference(c,difference(a,c)),c,B)) )],[refute_0_14213,refute_0_14226]) ).

cnf(refute_0_14228,plain,
    ( bigC(difference(a,product(b,a)),B,c) != bigC(difference(a,product(b,a)),c,B)
    | bigC(difference(a,product(b,a)),c,B) = bigC(difference(a,product(b,a)),B,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(difference(a,product(b,a)),B,c))),bind(Y,$fot(bigC(difference(a,product(b,a)),c,B)))]]) ).

cnf(refute_0_14229,plain,
    bigC(difference(a,product(b,a)),c,B) = bigC(difference(a,product(b,a)),B,c),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),B,c),bigC(difference(a,product(b,a)),c,B)) )],[refute_0_14227,refute_0_14228]) ).

cnf(refute_0_14230,plain,
    bigC(difference(a,product(b,a)),c,a) = bigC(difference(a,product(b,a)),a,c),
    inference(subst,[],[refute_0_14229:[bind(B,$fot(a))]]) ).

cnf(refute_0_14231,plain,
    ( bigC(difference(a,product(b,a)),a,c) != product(c,product(a,quotient(a,c)))
    | bigC(difference(a,product(b,a)),c,a) != bigC(difference(a,product(b,a)),a,c)
    | bigC(difference(a,product(b,a)),c,a) = product(c,product(a,quotient(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(a,product(b,a)),c,a))),bind(Y,$fot(bigC(difference(a,product(b,a)),a,c))),bind(Z,$fot(product(c,product(a,quotient(a,c)))))]]) ).

cnf(refute_0_14232,plain,
    ( bigC(difference(a,product(b,a)),a,c) != product(c,product(a,quotient(a,c)))
    | bigC(difference(a,product(b,a)),c,a) = product(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),c,a),bigC(difference(a,product(b,a)),a,c)) )],[refute_0_14230,refute_0_14231]) ).

cnf(refute_0_14233,plain,
    bigC(difference(a,product(b,a)),c,a) = product(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),a,c),product(c,product(a,quotient(a,c)))) )],[refute_0_14185,refute_0_14232]) ).

cnf(refute_0_14234,plain,
    ( bigC(difference(a,product(b,a)),c,a) != product(c,product(a,quotient(a,c)))
    | bigC(difference(a,product(b,a)),c,a) != product(quotient(c,b),product(b,a))
    | product(c,product(a,quotient(a,c))) = product(quotient(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(a,product(b,a)),c,a),product(quotient(c,b),product(b,a))) ),[0],$fot(product(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_14235,plain,
    ( bigC(difference(a,product(b,a)),c,a) != product(quotient(c,b),product(b,a))
    | product(c,product(a,quotient(a,c))) = product(quotient(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),c,a),product(c,product(a,quotient(a,c)))) )],[refute_0_14233,refute_0_14234]) ).

cnf(refute_0_14236,plain,
    bigC(quotient(c,b),quotient(c,b),c) = product(quotient(c,b),product(c,quotient(c,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(quotient(c,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_14237,plain,
    ( bigC(quotient(c,b),quotient(c,b),c) != product(quotient(c,b),product(c,quotient(c,b)))
    | product(c,quotient(c,b)) != product(b,a)
    | bigC(quotient(c,b),quotient(c,b),c) = product(quotient(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,b),quotient(c,b),c),product(quotient(c,b),product(c,quotient(c,b)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_14238,plain,
    ( bigC(quotient(c,b),quotient(c,b),c) != product(quotient(c,b),product(c,quotient(c,b)))
    | bigC(quotient(c,b),quotient(c,b),c) = product(quotient(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,b)),product(b,a)) )],[refute_0_13332,refute_0_14237]) ).

cnf(refute_0_14239,plain,
    bigC(quotient(c,b),quotient(c,b),c) = product(quotient(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),quotient(c,b),c),product(quotient(c,b),product(c,quotient(c,b)))) )],[refute_0_14236,refute_0_14238]) ).

cnf(refute_0_14240,plain,
    bigC(difference(c,product(b,a)),X_22,c) = product(product(difference(c,product(b,a)),X_22),product(b,a)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(b,a))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_14241,plain,
    ( bigC(difference(c,product(b,a)),X_22,c) != product(product(difference(c,product(b,a)),X_22),product(b,a))
    | difference(c,product(b,a)) != quotient(c,b)
    | bigC(difference(c,product(b,a)),X_22,c) = product(product(quotient(c,b),X_22),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),product(product(difference(c,product(b,a)),X_22),product(b,a))) ),[1,0,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14242,plain,
    ( bigC(difference(c,product(b,a)),X_22,c) != product(product(difference(c,product(b,a)),X_22),product(b,a))
    | bigC(difference(c,product(b,a)),X_22,c) = product(product(quotient(c,b),X_22),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_14241]) ).

cnf(refute_0_14243,plain,
    bigC(difference(c,product(b,a)),X_22,c) = product(product(quotient(c,b),X_22),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),product(product(difference(c,product(b,a)),X_22),product(b,a))) )],[refute_0_14240,refute_0_14242]) ).

cnf(refute_0_14244,plain,
    bigC(difference(c,product(b,a)),X_22,c) = bigC(difference(c,product(b,a)),X_22,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(b,a)),X_22,c))]]) ).

cnf(refute_0_14245,plain,
    ( bigC(difference(c,product(b,a)),X_22,c) != bigC(difference(c,product(b,a)),X_22,c)
    | difference(c,product(b,a)) != quotient(c,b)
    | bigC(difference(c,product(b,a)),X_22,c) = bigC(quotient(c,b),X_22,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),bigC(difference(c,product(b,a)),X_22,c)) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_14246,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | bigC(difference(c,product(b,a)),X_22,c) = bigC(quotient(c,b),X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),bigC(difference(c,product(b,a)),X_22,c)) )],[refute_0_14244,refute_0_14245]) ).

cnf(refute_0_14247,plain,
    bigC(difference(c,product(b,a)),X_22,c) = bigC(quotient(c,b),X_22,c),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_14246]) ).

cnf(refute_0_14248,plain,
    ( bigC(difference(c,product(b,a)),X_22,c) != bigC(quotient(c,b),X_22,c)
    | bigC(difference(c,product(b,a)),X_22,c) != product(product(quotient(c,b),X_22),product(b,a))
    | bigC(quotient(c,b),X_22,c) = product(product(quotient(c,b),X_22),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),product(product(quotient(c,b),X_22),product(b,a))) ),[0],$fot(bigC(quotient(c,b),X_22,c))]]) ).

cnf(refute_0_14249,plain,
    ( bigC(difference(c,product(b,a)),X_22,c) != product(product(quotient(c,b),X_22),product(b,a))
    | bigC(quotient(c,b),X_22,c) = product(product(quotient(c,b),X_22),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),bigC(quotient(c,b),X_22,c)) )],[refute_0_14247,refute_0_14248]) ).

cnf(refute_0_14250,plain,
    product(product(quotient(A,X_64),X_64),product(X_65,X_66)) = product(product(quotient(A,X_64),X_65),product(X_64,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(quotient(A,X_64))),bind(B,$fot(X_64)),bind(C,$fot(X_65)),bind(D,$fot(X_66))]]) ).

cnf(refute_0_14251,plain,
    product(quotient(A,X_64),X_64) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_64))]]) ).

cnf(refute_0_14252,plain,
    ( product(product(quotient(A,X_64),X_64),product(X_65,X_66)) != product(product(quotient(A,X_64),X_65),product(X_64,X_66))
    | product(quotient(A,X_64),X_64) != A
    | product(A,product(X_65,X_66)) = product(product(quotient(A,X_64),X_65),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(A,X_64),X_64),product(X_65,X_66)),product(product(quotient(A,X_64),X_65),product(X_64,X_66))) ),[0,0],$fot(A)]]) ).

cnf(refute_0_14253,plain,
    ( product(product(quotient(A,X_64),X_64),product(X_65,X_66)) != product(product(quotient(A,X_64),X_65),product(X_64,X_66))
    | product(A,product(X_65,X_66)) = product(product(quotient(A,X_64),X_65),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_64),X_64),A) )],[refute_0_14251,refute_0_14252]) ).

cnf(refute_0_14254,plain,
    product(A,product(X_65,X_66)) = product(product(quotient(A,X_64),X_65),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(product(quotient(A,X_64),X_64),product(X_65,X_66)),product(product(quotient(A,X_64),X_65),product(X_64,X_66))) )],[refute_0_14250,refute_0_14253]) ).

cnf(refute_0_14255,plain,
    ( product(A,product(X_65,X_66)) != product(product(quotient(A,X_64),X_65),product(X_64,X_66))
    | product(product(quotient(A,X_64),X_65),product(X_64,X_66)) = product(A,product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(A,product(X_65,X_66)))),bind(Y,$fot(product(product(quotient(A,X_64),X_65),product(X_64,X_66))))]]) ).

cnf(refute_0_14256,plain,
    product(product(quotient(A,X_64),X_65),product(X_64,X_66)) = product(A,product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(A,product(X_65,X_66)),product(product(quotient(A,X_64),X_65),product(X_64,X_66))) )],[refute_0_14254,refute_0_14255]) ).

cnf(refute_0_14257,plain,
    product(product(quotient(c,b),X_22),product(b,a)) = product(c,product(X_22,a)),
    inference(subst,[],[refute_0_14256:[bind(A,$fot(c)),bind(X_64,$fot(b)),bind(X_65,$fot(X_22)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_14258,plain,
    ( bigC(quotient(c,b),X_22,c) != product(product(quotient(c,b),X_22),product(b,a))
    | product(product(quotient(c,b),X_22),product(b,a)) != product(c,product(X_22,a))
    | bigC(quotient(c,b),X_22,c) = product(c,product(X_22,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(c,b),X_22,c),product(c,product(X_22,a))) ),[0],$fot(product(product(quotient(c,b),X_22),product(b,a)))]]) ).

cnf(refute_0_14259,plain,
    ( bigC(quotient(c,b),X_22,c) != product(product(quotient(c,b),X_22),product(b,a))
    | bigC(quotient(c,b),X_22,c) = product(c,product(X_22,a)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),X_22),product(b,a)),product(c,product(X_22,a))) )],[refute_0_14257,refute_0_14258]) ).

cnf(refute_0_14260,plain,
    ( bigC(difference(c,product(b,a)),X_22,c) != product(product(quotient(c,b),X_22),product(b,a))
    | bigC(quotient(c,b),X_22,c) = product(c,product(X_22,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),X_22,c),product(product(quotient(c,b),X_22),product(b,a))) )],[refute_0_14249,refute_0_14259]) ).

cnf(refute_0_14261,plain,
    bigC(quotient(c,b),X_22,c) = product(c,product(X_22,a)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(b,a)),X_22,c),product(product(quotient(c,b),X_22),product(b,a))) )],[refute_0_14243,refute_0_14260]) ).

cnf(refute_0_14262,plain,
    bigC(quotient(c,b),quotient(c,b),c) = product(c,product(quotient(c,b),a)),
    inference(subst,[],[refute_0_14261:[bind(X_22,$fot(quotient(c,b)))]]) ).

cnf(refute_0_14263,plain,
    ( bigC(quotient(c,b),quotient(c,b),c) != product(c,product(quotient(c,b),a))
    | bigC(quotient(c,b),quotient(c,b),c) != product(quotient(c,b),product(b,a))
    | product(c,product(quotient(c,b),a)) = product(quotient(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,b),quotient(c,b),c),product(quotient(c,b),product(b,a))) ),[0],$fot(product(c,product(quotient(c,b),a)))]]) ).

cnf(refute_0_14264,plain,
    ( bigC(quotient(c,b),quotient(c,b),c) != product(quotient(c,b),product(b,a))
    | product(c,product(quotient(c,b),a)) = product(quotient(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),quotient(c,b),c),product(c,product(quotient(c,b),a))) )],[refute_0_14262,refute_0_14263]) ).

cnf(refute_0_14265,plain,
    product(c,product(quotient(c,b),a)) = product(quotient(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),quotient(c,b),c),product(quotient(c,b),product(b,a))) )],[refute_0_14239,refute_0_14264]) ).

cnf(refute_0_14266,plain,
    ( product(c,product(quotient(c,b),a)) != product(quotient(c,b),product(b,a))
    | product(quotient(c,b),product(b,a)) = product(c,product(quotient(c,b),a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(quotient(c,b),a)))),bind(Y,$fot(product(quotient(c,b),product(b,a))))]]) ).

cnf(refute_0_14267,plain,
    product(quotient(c,b),product(b,a)) = product(c,product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,b),a)),product(quotient(c,b),product(b,a))) )],[refute_0_14265,refute_0_14266]) ).

cnf(refute_0_14268,plain,
    ( product(c,product(a,quotient(a,c))) != product(quotient(c,b),product(b,a))
    | product(quotient(c,b),product(b,a)) != product(c,product(quotient(c,b),a))
    | product(c,product(a,quotient(a,c))) = product(c,product(quotient(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(a,quotient(a,c))),product(c,product(quotient(c,b),a))) ),[0],$fot(product(quotient(c,b),product(b,a)))]]) ).

cnf(refute_0_14269,plain,
    ( product(c,product(a,quotient(a,c))) != product(quotient(c,b),product(b,a))
    | product(c,product(a,quotient(a,c))) = product(c,product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),product(b,a)),product(c,product(quotient(c,b),a))) )],[refute_0_14267,refute_0_14268]) ).

cnf(refute_0_14270,plain,
    ( bigC(difference(a,product(b,a)),c,a) != product(quotient(c,b),product(b,a))
    | product(c,product(a,quotient(a,c))) = product(c,product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,quotient(a,c))),product(quotient(c,b),product(b,a))) )],[refute_0_14235,refute_0_14269]) ).

cnf(refute_0_14271,plain,
    product(c,product(a,quotient(a,c))) = product(c,product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(bigC(difference(a,product(b,a)),c,a),product(quotient(c,b),product(b,a))) )],[refute_0_14100,refute_0_14270]) ).

cnf(refute_0_14272,plain,
    ( product(c,product(a,quotient(a,c))) != product(c,product(quotient(c,b),a))
    | product(c,product(quotient(c,b),a)) = product(c,product(a,quotient(a,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(a,quotient(a,c))))),bind(Y,$fot(product(c,product(quotient(c,b),a))))]]) ).

cnf(refute_0_14273,plain,
    product(c,product(quotient(c,b),a)) = product(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(a,quotient(a,c))),product(c,product(quotient(c,b),a))) )],[refute_0_14271,refute_0_14272]) ).

cnf(refute_0_14274,plain,
    product(c,quotient(bigC(a,a,c),c)) = product(c,quotient(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_14275,plain,
    ( product(c,quotient(bigC(a,a,c),c)) != product(c,quotient(bigC(a,a,c),c))
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(c,quotient(bigC(a,a,c),c)) = product(c,product(quotient(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(c,quotient(bigC(a,a,c),c))) ),[1,1],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_14276,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(c,quotient(bigC(a,a,c),c)) = product(c,product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(c,quotient(bigC(a,a,c),c))) )],[refute_0_14274,refute_0_14275]) ).

cnf(refute_0_14277,plain,
    product(c,quotient(bigC(a,a,c),c)) = product(c,product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_14276]) ).

cnf(refute_0_14278,plain,
    ( product(c,product(quotient(c,b),a)) != product(c,product(a,quotient(a,c)))
    | product(c,quotient(bigC(a,a,c),c)) != product(c,product(quotient(c,b),a))
    | product(c,quotient(bigC(a,a,c),c)) = product(c,product(a,quotient(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,quotient(bigC(a,a,c),c)))),bind(Y,$fot(product(c,product(quotient(c,b),a)))),bind(Z,$fot(product(c,product(a,quotient(a,c)))))]]) ).

cnf(refute_0_14279,plain,
    ( product(c,product(quotient(c,b),a)) != product(c,product(a,quotient(a,c)))
    | product(c,quotient(bigC(a,a,c),c)) = product(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(c,product(quotient(c,b),a))) )],[refute_0_14277,refute_0_14278]) ).

cnf(refute_0_14280,plain,
    product(c,quotient(bigC(a,a,c),c)) = product(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,b),a)),product(c,product(a,quotient(a,c)))) )],[refute_0_14273,refute_0_14279]) ).

cnf(refute_0_14281,plain,
    ( product(c,quotient(bigC(a,a,c),c)) != product(c,product(a,quotient(a,c)))
    | product(c,quotient(bigC(a,a,c),c)) != product(product(b,c),a)
    | product(c,product(a,quotient(a,c))) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(product(b,c),a)) ),[0],$fot(product(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_14282,plain,
    ( product(c,quotient(bigC(a,a,c),c)) != product(product(b,c),a)
    | product(c,product(a,quotient(a,c))) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(c,product(a,quotient(a,c)))) )],[refute_0_14280,refute_0_14281]) ).

cnf(refute_0_14283,plain,
    product(c,product(a,quotient(a,c))) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(product(c,quotient(bigC(a,a,c),c)),product(product(b,c),a)) )],[refute_0_8945,refute_0_14282]) ).

cnf(refute_0_14284,plain,
    ( bigC(quotient(c,b),b,quotient(a,c)) != product(c,product(a,quotient(a,c)))
    | product(c,product(a,quotient(a,c))) != product(product(b,c),a)
    | bigC(quotient(c,b),b,quotient(a,c)) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(c,b),b,quotient(a,c)),product(product(b,c),a)) ),[0],$fot(product(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_14285,plain,
    ( bigC(quotient(c,b),b,quotient(a,c)) != product(c,product(a,quotient(a,c)))
    | bigC(quotient(c,b),b,quotient(a,c)) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,quotient(a,c))),product(product(b,c),a)) )],[refute_0_14283,refute_0_14284]) ).

cnf(refute_0_14286,plain,
    bigC(quotient(c,b),b,quotient(a,c)) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),b,quotient(a,c)),product(c,product(a,quotient(a,c)))) )],[refute_0_13880,refute_0_14285]) ).

cnf(refute_0_14287,plain,
    ( bigC(quotient(c,b),b,quotient(a,c)) != product(product(b,c),a)
    | difference(product(quotient(c,b),b),bigC(quotient(c,b),b,quotient(a,c))) != product(quotient(a,c),quotient(c,b))
    | difference(product(quotient(c,b),b),product(product(b,c),a)) = product(quotient(a,c),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,b),b),bigC(quotient(c,b),b,quotient(a,c))),product(quotient(a,c),quotient(c,b))) ),[0,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_14288,plain,
    ( difference(product(quotient(c,b),b),bigC(quotient(c,b),b,quotient(a,c))) != product(quotient(a,c),quotient(c,b))
    | difference(product(quotient(c,b),b),product(product(b,c),a)) = product(quotient(a,c),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,b),b,quotient(a,c)),product(product(b,c),a)) )],[refute_0_14286,refute_0_14287]) ).

cnf(refute_0_14289,plain,
    difference(product(quotient(c,b),b),product(product(b,c),a)) = product(quotient(a,c),quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),b),bigC(quotient(c,b),b,quotient(a,c))),product(quotient(a,c),quotient(c,b))) )],[refute_0_13850,refute_0_14288]) ).

cnf(refute_0_14290,plain,
    ( difference(c,product(product(b,c),a)) != quotient(bigC(a,a,c),c)
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | difference(c,product(product(b,c),a)) = product(quotient(c,b),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,product(product(b,c),a)),product(quotient(c,b),a)) ),[0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_14291,plain,
    ( difference(c,product(product(b,c),a)) != quotient(bigC(a,a,c),c)
    | difference(c,product(product(b,c),a)) = product(quotient(c,b),a) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_14290]) ).

cnf(refute_0_14292,plain,
    difference(c,product(product(b,c),a)) = product(quotient(c,b),a),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,c),a)),quotient(bigC(a,a,c),c)) )],[refute_0_8948,refute_0_14291]) ).

cnf(refute_0_14293,plain,
    difference(product(quotient(c,b),b),product(product(b,c),a)) = difference(product(quotient(c,b),b),product(product(b,c),a)),
    introduced(tautology,[refl,[$fot(difference(product(quotient(c,b),b),product(product(b,c),a)))]]) ).

cnf(refute_0_14294,plain,
    ( difference(product(quotient(c,b),b),product(product(b,c),a)) != difference(product(quotient(c,b),b),product(product(b,c),a))
    | product(quotient(c,b),b) != c
    | difference(product(quotient(c,b),b),product(product(b,c),a)) = difference(c,product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,b),b),product(product(b,c),a)),difference(product(quotient(c,b),b),product(product(b,c),a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_14295,plain,
    ( product(quotient(c,b),b) != c
    | difference(product(quotient(c,b),b),product(product(b,c),a)) = difference(c,product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),b),product(product(b,c),a)),difference(product(quotient(c,b),b),product(product(b,c),a))) )],[refute_0_14293,refute_0_14294]) ).

cnf(refute_0_14296,plain,
    difference(product(quotient(c,b),b),product(product(b,c),a)) = difference(c,product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),b),c) )],[refute_0_13349,refute_0_14295]) ).

cnf(refute_0_14297,plain,
    ( difference(c,product(product(b,c),a)) != product(quotient(c,b),a)
    | difference(product(quotient(c,b),b),product(product(b,c),a)) != difference(c,product(product(b,c),a))
    | difference(product(quotient(c,b),b),product(product(b,c),a)) = product(quotient(c,b),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(quotient(c,b),b),product(product(b,c),a)))),bind(Y,$fot(difference(c,product(product(b,c),a)))),bind(Z,$fot(product(quotient(c,b),a)))]]) ).

cnf(refute_0_14298,plain,
    ( difference(c,product(product(b,c),a)) != product(quotient(c,b),a)
    | difference(product(quotient(c,b),b),product(product(b,c),a)) = product(quotient(c,b),a) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),b),product(product(b,c),a)),difference(c,product(product(b,c),a))) )],[refute_0_14296,refute_0_14297]) ).

cnf(refute_0_14299,plain,
    difference(product(quotient(c,b),b),product(product(b,c),a)) = product(quotient(c,b),a),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,c),a)),product(quotient(c,b),a)) )],[refute_0_14292,refute_0_14298]) ).

cnf(refute_0_14300,plain,
    ( difference(product(quotient(c,b),b),product(product(b,c),a)) != product(quotient(a,c),quotient(c,b))
    | difference(product(quotient(c,b),b),product(product(b,c),a)) != product(quotient(c,b),a)
    | product(quotient(c,b),a) = product(quotient(a,c),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,b),b),product(product(b,c),a)),product(quotient(a,c),quotient(c,b))) ),[0],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_14301,plain,
    ( difference(product(quotient(c,b),b),product(product(b,c),a)) != product(quotient(a,c),quotient(c,b))
    | product(quotient(c,b),a) = product(quotient(a,c),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),b),product(product(b,c),a)),product(quotient(c,b),a)) )],[refute_0_14299,refute_0_14300]) ).

cnf(refute_0_14302,plain,
    ( product(quotient(a,c),quotient(c,b)) != product(a,quotient(a,c))
    | product(quotient(c,b),a) != product(quotient(a,c),quotient(c,b))
    | product(quotient(c,b),a) = product(a,quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),a),product(quotient(a,c),quotient(c,b))) ),[1],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_14303,plain,
    ( product(quotient(c,b),a) != product(quotient(a,c),quotient(c,b))
    | product(quotient(c,b),a) = product(a,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),quotient(c,b)),product(a,quotient(a,c))) )],[refute_0_13877,refute_0_14302]) ).

cnf(refute_0_14304,plain,
    ( difference(product(quotient(c,b),b),product(product(b,c),a)) != product(quotient(a,c),quotient(c,b))
    | product(quotient(c,b),a) = product(a,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),a),product(quotient(a,c),quotient(c,b))) )],[refute_0_14301,refute_0_14303]) ).

cnf(refute_0_14305,plain,
    product(quotient(c,b),a) = product(a,quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),b),product(product(b,c),a)),product(quotient(a,c),quotient(c,b))) )],[refute_0_14289,refute_0_14304]) ).

cnf(refute_0_14306,plain,
    quotient(c,product(quotient(c,b),a)) = quotient(c,product(quotient(c,b),a)),
    introduced(tautology,[refl,[$fot(quotient(c,product(quotient(c,b),a)))]]) ).

cnf(refute_0_14307,plain,
    ( product(quotient(c,b),a) != product(a,quotient(a,c))
    | quotient(c,product(quotient(c,b),a)) != quotient(c,product(quotient(c,b),a))
    | quotient(c,product(quotient(c,b),a)) = quotient(c,product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(quotient(c,b),a)),quotient(c,product(quotient(c,b),a))) ),[1,1],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_14308,plain,
    ( product(quotient(c,b),a) != product(a,quotient(a,c))
    | quotient(c,product(quotient(c,b),a)) = quotient(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(quotient(c,b),a)),quotient(c,product(quotient(c,b),a))) )],[refute_0_14306,refute_0_14307]) ).

cnf(refute_0_14309,plain,
    quotient(c,product(quotient(c,b),a)) = quotient(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),a),product(a,quotient(a,c))) )],[refute_0_14305,refute_0_14308]) ).

cnf(refute_0_14310,plain,
    ( quotient(c,product(quotient(c,b),a)) != difference(c,product(a,product(c,b)))
    | quotient(c,product(quotient(c,b),a)) != quotient(c,product(a,quotient(a,c)))
    | quotient(c,product(a,quotient(a,c))) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(quotient(c,b),a)),difference(c,product(a,product(c,b)))) ),[0],$fot(quotient(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_14311,plain,
    ( quotient(c,product(quotient(c,b),a)) != difference(c,product(a,product(c,b)))
    | quotient(c,product(a,quotient(a,c))) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(quotient(c,b),a)),quotient(c,product(a,quotient(a,c)))) )],[refute_0_14309,refute_0_14310]) ).

cnf(refute_0_14312,plain,
    quotient(c,product(a,quotient(a,c))) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(c,product(quotient(c,b),a)),difference(c,product(a,product(c,b)))) )],[refute_0_13849,refute_0_14311]) ).

cnf(refute_0_14313,plain,
    ( product(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c))) != c
    | quotient(c,product(a,quotient(a,c))) != difference(c,product(a,product(c,b)))
    | product(difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c))),c) ),[0,0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_14314,plain,
    ( product(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c))) != c
    | product(difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = c ),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,quotient(a,c))),difference(c,product(a,product(c,b)))) )],[refute_0_14312,refute_0_14313]) ).

cnf(refute_0_14315,plain,
    product(difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = c,
    inference(resolve,[$cnf( $equal(product(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c))),c) )],[refute_0_793,refute_0_14314]) ).

cnf(refute_0_14316,plain,
    ( difference(product(quotient(difference(c,product(a,product(c,b))),product(difference(c,product(a,product(c,b))),product(a,quotient(a,c)))),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | product(difference(c,product(a,product(c,b))),product(a,quotient(a,c))) != c
    | difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),product(difference(c,product(a,product(c,b))),product(a,quotient(a,c)))),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))) ),[0,0,0,1],$fot(c)]]) ).

cnf(refute_0_14317,plain,
    ( difference(product(quotient(difference(c,product(a,product(c,b))),product(difference(c,product(a,product(c,b))),product(a,quotient(a,c)))),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(a,quotient(a,c))),c) )],[refute_0_14315,refute_0_14316]) ).

cnf(refute_0_14318,plain,
    difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),product(difference(c,product(a,product(c,b))),product(a,quotient(a,c)))),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))) )],[refute_0_792,refute_0_14317]) ).

cnf(refute_0_14319,plain,
    difference(c,product(c,quotient(difference(c,product(a,product(c,b))),c))) = quotient(difference(c,product(a,product(c,b))),c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(difference(c,product(a,product(c,b))),c)))]]) ).

cnf(refute_0_14320,plain,
    difference(c,difference(product(difference(product(a,c),difference(c,product(a,c))),c),c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(difference(product(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_14321,plain,
    quotient(quotient(c,product(a,c)),product(quotient(c,product(a,c)),c)) = product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(product(a,c)))]]) ).

cnf(refute_0_14322,plain,
    quotient(c,difference(product(c,b),c)) = product(c,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(c)),bind(X_6,$fot(product(c,b)))]]) ).

cnf(refute_0_14323,plain,
    ( difference(product(c,b),c) != product(a,c)
    | quotient(c,difference(product(c,b),c)) != product(c,b)
    | quotient(c,product(a,c)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(product(c,b),c)),product(c,b)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_14324,plain,
    ( quotient(c,difference(product(c,b),c)) != product(c,b)
    | quotient(c,product(a,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),c),product(a,c)) )],[refute_0_9077,refute_0_14323]) ).

cnf(refute_0_14325,plain,
    quotient(c,product(a,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(c,b),c)),product(c,b)) )],[refute_0_14322,refute_0_14324]) ).

cnf(refute_0_14326,plain,
    ( quotient(c,product(a,c)) != product(c,b)
    | quotient(quotient(c,product(a,c)),product(quotient(c,product(a,c)),c)) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(quotient(c,product(a,c)),c)),product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))) ),[0,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_14327,plain,
    ( quotient(quotient(c,product(a,c)),product(quotient(c,product(a,c)),c)) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,c)),product(c,b)) )],[refute_0_14325,refute_0_14326]) ).

cnf(refute_0_14328,plain,
    quotient(quotient(c,product(a,c)),product(product(c,b),c)) = product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(quotient(c,product(a,c)),c)),product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))) )],[refute_0_14321,refute_0_14327]) ).

cnf(refute_0_14329,plain,
    quotient(product(c,b),difference(product(product(a,c),b),product(c,b))) = product(product(a,c),b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(c,b))),bind(X_6,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14330,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | quotient(product(c,b),difference(product(product(a,c),b),product(c,b))) != product(product(a,c),b)
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),difference(product(product(a,c),b),product(c,b))),product(product(a,c),b)) ),[0,1],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_14331,plain,
    ( quotient(product(c,b),difference(product(product(a,c),b),product(c,b))) != product(product(a,c),b)
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) )],[refute_0_9168,refute_0_14330]) ).

cnf(refute_0_14332,plain,
    quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(product(product(a,c),b),product(c,b))),product(product(a,c),b)) )],[refute_0_14329,refute_0_14331]) ).

cnf(refute_0_14333,plain,
    quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,b),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_14334,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) != quotient(product(c,b),product(product(c,b),bigC(c,a,b)))
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),bigC(c,a,b))),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_14335,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),bigC(c,a,b))),quotient(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_14333,refute_0_14334]) ).

cnf(refute_0_14336,plain,
    quotient(product(c,b),product(product(c,b),bigC(c,a,b))) = quotient(product(c,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_14335]) ).

cnf(refute_0_14337,plain,
    ( quotient(product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(a,c),b)
    | quotient(product(c,b),product(product(c,b),bigC(c,a,b))) != quotient(product(c,b),bigC(c,b,c))
    | quotient(product(c,b),bigC(c,b,c)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(a,c),b)) ),[0],$fot(quotient(product(c,b),bigC(c,b,c)))]]) ).

cnf(refute_0_14338,plain,
    ( quotient(product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(a,c),b)
    | quotient(product(c,b),bigC(c,b,c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),bigC(c,a,b))),quotient(product(c,b),bigC(c,b,c))) )],[refute_0_14336,refute_0_14337]) ).

cnf(refute_0_14339,plain,
    quotient(product(c,b),bigC(c,b,c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(a,c),b)) )],[refute_0_14332,refute_0_14338]) ).

cnf(refute_0_14340,plain,
    quotient(product(c,b),bigC(c,b,c)) = quotient(product(c,b),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),bigC(c,b,c)))]]) ).

cnf(refute_0_14341,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(product(c,b),bigC(c,b,c)) != quotient(product(c,b),bigC(c,b,c))
    | quotient(product(c,b),bigC(c,b,c)) = quotient(product(c,b),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,b,c)),quotient(product(c,b),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14342,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | quotient(product(c,b),bigC(c,b,c)) = quotient(product(c,b),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,c)),quotient(product(c,b),bigC(c,b,c))) )],[refute_0_14340,refute_0_14341]) ).

cnf(refute_0_14343,plain,
    quotient(product(c,b),bigC(c,b,c)) = quotient(product(c,b),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_14342]) ).

cnf(refute_0_14344,plain,
    ( quotient(product(c,b),bigC(c,b,c)) != product(product(a,c),b)
    | quotient(product(c,b),bigC(c,b,c)) != quotient(product(c,b),bigC(b,a,b))
    | quotient(product(c,b),bigC(b,a,b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,b,c)),product(product(a,c),b)) ),[0],$fot(quotient(product(c,b),bigC(b,a,b)))]]) ).

cnf(refute_0_14345,plain,
    ( quotient(product(c,b),bigC(c,b,c)) != product(product(a,c),b)
    | quotient(product(c,b),bigC(b,a,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,c)),quotient(product(c,b),bigC(b,a,b))) )],[refute_0_14343,refute_0_14344]) ).

cnf(refute_0_14346,plain,
    quotient(product(c,b),bigC(b,a,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,b,c)),product(product(a,c),b)) )],[refute_0_14339,refute_0_14345]) ).

cnf(refute_0_14347,plain,
    quotient(product(c,b),bigC(b,a,b)) = quotient(product(c,b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),bigC(b,a,b)))]]) ).

cnf(refute_0_14348,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(product(c,b),bigC(b,a,b)) != quotient(product(c,b),bigC(b,a,b))
    | quotient(product(c,b),bigC(b,a,b)) = quotient(product(c,b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(b,a,b)),quotient(product(c,b),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_14349,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(product(c,b),bigC(b,a,b)) = quotient(product(c,b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(b,a,b)),quotient(product(c,b),bigC(b,a,b))) )],[refute_0_14347,refute_0_14348]) ).

cnf(refute_0_14350,plain,
    quotient(product(c,b),bigC(b,a,b)) = quotient(product(c,b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_14349]) ).

cnf(refute_0_14351,plain,
    ( quotient(product(c,b),bigC(b,a,b)) != product(product(a,c),b)
    | quotient(product(c,b),bigC(b,a,b)) != quotient(product(c,b),bigC(a,b,b))
    | quotient(product(c,b),bigC(a,b,b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(b,a,b)),product(product(a,c),b)) ),[0],$fot(quotient(product(c,b),bigC(a,b,b)))]]) ).

cnf(refute_0_14352,plain,
    ( quotient(product(c,b),bigC(b,a,b)) != product(product(a,c),b)
    | quotient(product(c,b),bigC(a,b,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(b,a,b)),quotient(product(c,b),bigC(a,b,b))) )],[refute_0_14350,refute_0_14351]) ).

cnf(refute_0_14353,plain,
    quotient(product(c,b),bigC(a,b,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(b,a,b)),product(product(a,c),b)) )],[refute_0_14346,refute_0_14352]) ).

cnf(refute_0_14354,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(product(c,b),c) != bigC(c,b,c)
    | product(product(c,b),c) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),c))),bind(Y,$fot(bigC(c,b,c))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_14355,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(product(c,b),c) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(c,b,c)) )],[refute_0_395,refute_0_14354]) ).

cnf(refute_0_14356,plain,
    product(product(c,b),c) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_14355]) ).

cnf(refute_0_14357,plain,
    quotient(product(c,b),product(product(c,b),c)) = quotient(product(c,b),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(product(c,b),c)))]]) ).

cnf(refute_0_14358,plain,
    ( product(product(c,b),c) != bigC(a,b,b)
    | quotient(product(c,b),product(product(c,b),c)) != quotient(product(c,b),product(product(c,b),c))
    | quotient(product(c,b),product(product(c,b),c)) = quotient(product(c,b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),c)),quotient(product(c,b),product(product(c,b),c))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_14359,plain,
    ( product(product(c,b),c) != bigC(a,b,b)
    | quotient(product(c,b),product(product(c,b),c)) = quotient(product(c,b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),c)),quotient(product(c,b),product(product(c,b),c))) )],[refute_0_14357,refute_0_14358]) ).

cnf(refute_0_14360,plain,
    quotient(product(c,b),product(product(c,b),c)) = quotient(product(c,b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),c),bigC(a,b,b)) )],[refute_0_14356,refute_0_14359]) ).

cnf(refute_0_14361,plain,
    quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(quotient(c,product(a,c)),product(product(c,b),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,product(a,c)),product(product(c,b),c)))]]) ).

cnf(refute_0_14362,plain,
    ( quotient(c,product(a,c)) != product(c,b)
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) != quotient(quotient(c,product(a,c)),product(product(c,b),c))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(product(c,b),product(product(c,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),quotient(quotient(c,product(a,c)),product(product(c,b),c))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_14363,plain,
    ( quotient(c,product(a,c)) != product(c,b)
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(product(c,b),product(product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),quotient(quotient(c,product(a,c)),product(product(c,b),c))) )],[refute_0_14361,refute_0_14362]) ).

cnf(refute_0_14364,plain,
    quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(product(c,b),product(product(c,b),c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,c)),product(c,b)) )],[refute_0_14325,refute_0_14363]) ).

cnf(refute_0_14365,plain,
    ( quotient(product(c,b),product(product(c,b),c)) != quotient(product(c,b),bigC(a,b,b))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) != quotient(product(c,b),product(product(c,b),c))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(product(c,b),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(a,c)),product(product(c,b),c)))),bind(Y,$fot(quotient(product(c,b),product(product(c,b),c)))),bind(Z,$fot(quotient(product(c,b),bigC(a,b,b))))]]) ).

cnf(refute_0_14366,plain,
    ( quotient(product(c,b),product(product(c,b),c)) != quotient(product(c,b),bigC(a,b,b))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(product(c,b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),quotient(product(c,b),product(product(c,b),c))) )],[refute_0_14364,refute_0_14365]) ).

cnf(refute_0_14367,plain,
    quotient(quotient(c,product(a,c)),product(product(c,b),c)) = quotient(product(c,b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),c)),quotient(product(c,b),bigC(a,b,b))) )],[refute_0_14360,refute_0_14366]) ).

cnf(refute_0_14368,plain,
    ( quotient(product(c,b),bigC(a,b,b)) != product(product(a,c),b)
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) != quotient(product(c,b),bigC(a,b,b))
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,product(a,c)),product(product(c,b),c)))),bind(Y,$fot(quotient(product(c,b),bigC(a,b,b)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14369,plain,
    ( quotient(product(c,b),bigC(a,b,b)) != product(product(a,c),b)
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),quotient(product(c,b),bigC(a,b,b))) )],[refute_0_14367,refute_0_14368]) ).

cnf(refute_0_14370,plain,
    quotient(quotient(c,product(a,c)),product(product(c,b),c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(a,b,b)),product(product(a,c),b)) )],[refute_0_14353,refute_0_14369]) ).

cnf(refute_0_14371,plain,
    ( quotient(quotient(c,product(a,c)),product(product(c,b),c)) != product(product(a,c),b)
    | quotient(quotient(c,product(a,c)),product(product(c,b),c)) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | product(product(a,c),b) = product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))) ),[0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_14372,plain,
    ( quotient(quotient(c,product(a,c)),product(product(c,b),c)) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | product(product(a,c),b) = product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),product(product(a,c),b)) )],[refute_0_14370,refute_0_14371]) ).

cnf(refute_0_14373,plain,
    product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))) = product(difference(product(a,c),difference(c,product(a,c))),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(product(a,c)))]]) ).

cnf(refute_0_14374,plain,
    ( product(product(a,c),b) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))) != product(difference(product(a,c),difference(c,product(a,c))),c)
    | product(product(a,c),b) = product(difference(product(a,c),difference(c,product(a,c))),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),b),product(difference(product(a,c),difference(c,product(a,c))),c)) ),[0],$fot(product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))))]]) ).

cnf(refute_0_14375,plain,
    ( product(product(a,c),b) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | product(product(a,c),b) = product(difference(product(a,c),difference(c,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c))),product(difference(product(a,c),difference(c,product(a,c))),c)) )],[refute_0_14373,refute_0_14374]) ).

cnf(refute_0_14376,plain,
    ( quotient(quotient(c,product(a,c)),product(product(c,b),c)) != product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))
    | product(product(a,c),b) = product(difference(product(a,c),difference(c,product(a,c))),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),b),product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))) )],[refute_0_14372,refute_0_14375]) ).

cnf(refute_0_14377,plain,
    product(product(a,c),b) = product(difference(product(a,c),difference(c,product(a,c))),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(a,c)),product(product(c,b),c)),product(product(product(a,c),quotient(c,product(a,c))),quotient(c,product(a,c)))) )],[refute_0_14328,refute_0_14376]) ).

cnf(refute_0_14378,plain,
    ( product(product(a,c),b) != product(difference(product(a,c),difference(c,product(a,c))),c)
    | product(difference(product(a,c),difference(c,product(a,c))),c) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,c),b))),bind(Y,$fot(product(difference(product(a,c),difference(c,product(a,c))),c)))]]) ).

cnf(refute_0_14379,plain,
    product(difference(product(a,c),difference(c,product(a,c))),c) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),b),product(difference(product(a,c),difference(c,product(a,c))),c)) )],[refute_0_14377,refute_0_14378]) ).

cnf(refute_0_14380,plain,
    ( difference(c,difference(product(difference(product(a,c),difference(c,product(a,c))),c),c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | product(difference(product(a,c),difference(c,product(a,c))),c) != product(product(a,c),b)
    | difference(c,difference(product(product(a,c),b),c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(difference(product(a,c),difference(c,product(a,c))),c),c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) ),[0,1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_14381,plain,
    ( difference(c,difference(product(difference(product(a,c),difference(c,product(a,c))),c),c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | difference(c,difference(product(product(a,c),b),c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),difference(c,product(a,c))),c),product(product(a,c),b)) )],[refute_0_14379,refute_0_14380]) ).

cnf(refute_0_14382,plain,
    difference(c,difference(product(product(a,c),b),c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(difference(product(a,c),difference(c,product(a,c))),c),c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) )],[refute_0_14320,refute_0_14381]) ).

cnf(refute_0_14383,plain,
    difference(product(product(a,c),b),bigC(product(a,c),b,product(c,a))) = product(product(c,a),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(b)),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_14384,plain,
    ( bigC(product(a,c),b,product(c,a)) != c
    | difference(product(product(a,c),b),bigC(product(a,c),b,product(c,a))) != product(product(c,a),product(a,c))
    | difference(product(product(a,c),b),c) = product(product(c,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),b),bigC(product(a,c),b,product(c,a))),product(product(c,a),product(a,c))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_14385,plain,
    ( difference(product(product(a,c),b),bigC(product(a,c),b,product(c,a))) != product(product(c,a),product(a,c))
    | difference(product(product(a,c),b),c) = product(product(c,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,product(c,a)),c) )],[refute_0_11999,refute_0_14384]) ).

cnf(refute_0_14386,plain,
    difference(product(product(a,c),b),c) = product(product(c,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),bigC(product(a,c),b,product(c,a))),product(product(c,a),product(a,c))) )],[refute_0_14383,refute_0_14385]) ).

cnf(refute_0_14387,plain,
    ( difference(product(product(a,c),b),c) != product(product(c,a),product(a,c))
    | product(product(c,a),product(a,c)) != bigC(a,a,c)
    | difference(product(product(a,c),b),c) = bigC(a,a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,c),b),c),bigC(a,a,c)) ),[0],$fot(product(product(c,a),product(a,c)))]]) ).

cnf(refute_0_14388,plain,
    ( difference(product(product(a,c),b),c) != product(product(c,a),product(a,c))
    | difference(product(product(a,c),b),c) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(a,a,c)) )],[refute_0_8698,refute_0_14387]) ).

cnf(refute_0_14389,plain,
    difference(product(product(a,c),b),c) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),c),product(product(c,a),product(a,c))) )],[refute_0_14386,refute_0_14388]) ).

cnf(refute_0_14390,plain,
    difference(c,difference(product(product(a,c),b),c)) = difference(c,difference(product(product(a,c),b),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(product(product(a,c),b),c)))]]) ).

cnf(refute_0_14391,plain,
    ( difference(c,difference(product(product(a,c),b),c)) != difference(c,difference(product(product(a,c),b),c))
    | difference(product(product(a,c),b),c) != bigC(a,a,c)
    | difference(c,difference(product(product(a,c),b),c)) = difference(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(product(a,c),b),c)),difference(c,difference(product(product(a,c),b),c))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_14392,plain,
    ( difference(product(product(a,c),b),c) != bigC(a,a,c)
    | difference(c,difference(product(product(a,c),b),c)) = difference(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(a,c),b),c)),difference(c,difference(product(product(a,c),b),c))) )],[refute_0_14390,refute_0_14391]) ).

cnf(refute_0_14393,plain,
    difference(c,difference(product(product(a,c),b),c)) = difference(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),c),bigC(a,a,c)) )],[refute_0_14389,refute_0_14392]) ).

cnf(refute_0_14394,plain,
    ( difference(c,difference(product(product(a,c),b),c)) != difference(c,bigC(a,a,c))
    | difference(c,difference(product(product(a,c),b),c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | difference(c,bigC(a,a,c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(product(a,c),b),c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) ),[0],$fot(difference(c,bigC(a,a,c)))]]) ).

cnf(refute_0_14395,plain,
    ( difference(c,difference(product(product(a,c),b),c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | difference(c,bigC(a,a,c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(a,c),b),c)),difference(c,bigC(a,a,c))) )],[refute_0_14393,refute_0_14394]) ).

cnf(refute_0_14396,plain,
    difference(c,bigC(a,a,c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(a,c),b),c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) )],[refute_0_14382,refute_0_14395]) ).

cnf(refute_0_14397,plain,
    quotient(product(difference(product(a,c),difference(c,product(a,c))),c),c) = difference(product(a,c),difference(c,product(a,c))),
    inference(subst,[],[sos03:[bind(A,$fot(difference(product(a,c),difference(c,product(a,c))))),bind(B,$fot(c))]]) ).

cnf(refute_0_14398,plain,
    ( product(difference(product(a,c),difference(c,product(a,c))),c) != product(product(a,c),b)
    | quotient(product(difference(product(a,c),difference(c,product(a,c))),c),c) != difference(product(a,c),difference(c,product(a,c)))
    | quotient(product(product(a,c),b),c) = difference(product(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(a,c),difference(c,product(a,c))),c),c),difference(product(a,c),difference(c,product(a,c)))) ),[0,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_14399,plain,
    ( quotient(product(difference(product(a,c),difference(c,product(a,c))),c),c) != difference(product(a,c),difference(c,product(a,c)))
    | quotient(product(product(a,c),b),c) = difference(product(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),difference(c,product(a,c))),c),product(product(a,c),b)) )],[refute_0_14379,refute_0_14398]) ).

cnf(refute_0_14400,plain,
    quotient(product(product(a,c),b),c) = difference(product(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(a,c),difference(c,product(a,c))),c),c),difference(product(a,c),difference(c,product(a,c)))) )],[refute_0_14397,refute_0_14399]) ).

cnf(refute_0_14401,plain,
    quotient(quotient(c,product(c,quotient(product(a,product(c,b)),c))),c) = difference(c,product(quotient(product(a,product(c,b)),c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(quotient(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_14402,plain,
    difference(c,difference(product(product(a,product(c,b)),c),c)) = product(c,quotient(product(a,product(c,b)),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_14403,plain,
    ( difference(c,difference(product(product(a,product(c,b)),c),c)) != product(c,quotient(product(a,product(c,b)),c))
    | product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | difference(c,difference(product(a,product(b,product(b,c))),c)) = product(c,quotient(product(a,product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(product(a,product(c,b)),c),c)),product(c,quotient(product(a,product(c,b)),c))) ),[0,1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_14404,plain,
    ( difference(c,difference(product(product(a,product(c,b)),c),c)) != product(c,quotient(product(a,product(c,b)),c))
    | difference(c,difference(product(a,product(b,product(b,c))),c)) = product(c,quotient(product(a,product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),c),product(a,product(b,product(b,c)))) )],[refute_0_8047,refute_0_14403]) ).

cnf(refute_0_14405,plain,
    difference(c,difference(product(a,product(b,product(b,c))),c)) = product(c,quotient(product(a,product(c,b)),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(product(a,product(c,b)),c),c)),product(c,quotient(product(a,product(c,b)),c))) )],[refute_0_14402,refute_0_14404]) ).

cnf(refute_0_14406,plain,
    difference(c,product(c,bigC(a,a,c))) = bigC(a,a,c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_14407,plain,
    difference(quotient(c,product(c,bigC(a,a,c))),c) = product(c,bigC(a,a,c)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(c,bigC(a,a,c)))),bind(X_9,$fot(c))]]) ).

cnf(refute_0_14408,plain,
    difference(c,product(c,product(a,product(b,product(b,c))))) = product(a,product(b,product(b,c))),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_14409,plain,
    product(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,bigC(a,b,b))) = product(c,product(a,product(b,product(b,c)))),
    inference(subst,[],[sos04:[bind(A,$fot(product(c,product(a,product(b,product(b,c)))))),bind(B,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_14410,plain,
    quotient(bigC(c,product(a,c),product(c,product(c,b))),product(product(c,product(c,b)),c)) = product(c,product(a,c)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(c)),bind(X_22,$fot(product(a,c))),bind(X_23,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14411,plain,
    product(c,product(a,product(b,product(b,c)))) = bigC(c,product(a,c),quotient(product(a,product(b,product(b,c))),product(a,b))),
    inference(subst,[],[refute_0_1349:[bind(A,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_14412,plain,
    quotient(product(c,product(product(a,c),b)),product(a,b)) = quotient(product(c,product(product(a,c),b)),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(product(a,c),b)),product(a,b)))]]) ).

cnf(refute_0_14413,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) != quotient(product(c,product(product(a,c),b)),product(a,b))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) = quotient(product(a,product(b,product(b,c))),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),quotient(product(c,product(product(a,c),b)),product(a,b))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_14414,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) = quotient(product(a,product(b,product(b,c))),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),quotient(product(c,product(product(a,c),b)),product(a,b))) )],[refute_0_14412,refute_0_14413]) ).

cnf(refute_0_14415,plain,
    quotient(product(c,product(product(a,c),b)),product(a,b)) = quotient(product(a,product(b,product(b,c))),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_8201,refute_0_14414]) ).

cnf(refute_0_14416,plain,
    ( quotient(product(c,product(product(a,c),b)),product(a,b)) != product(c,product(c,b))
    | quotient(product(c,product(product(a,c),b)),product(a,b)) != quotient(product(a,product(b,product(b,c))),product(a,b))
    | quotient(product(a,product(b,product(b,c))),product(a,b)) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),product(c,product(c,b))) ),[0],$fot(quotient(product(a,product(b,product(b,c))),product(a,b)))]]) ).

cnf(refute_0_14417,plain,
    ( quotient(product(c,product(product(a,c),b)),product(a,b)) != product(c,product(c,b))
    | quotient(product(a,product(b,product(b,c))),product(a,b)) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),quotient(product(a,product(b,product(b,c))),product(a,b))) )],[refute_0_14415,refute_0_14416]) ).

cnf(refute_0_14418,plain,
    quotient(product(a,product(b,product(b,c))),product(a,b)) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(product(a,c),b)),product(a,b)),product(c,product(c,b))) )],[refute_0_8115,refute_0_14417]) ).

cnf(refute_0_14419,plain,
    ( product(c,product(a,product(b,product(b,c)))) != bigC(c,product(a,c),quotient(product(a,product(b,product(b,c))),product(a,b)))
    | quotient(product(a,product(b,product(b,c))),product(a,b)) != product(c,product(c,b))
    | product(c,product(a,product(b,product(b,c)))) = bigC(c,product(a,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(a,product(b,product(b,c)))),bigC(c,product(a,c),quotient(product(a,product(b,product(b,c))),product(a,b)))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14420,plain,
    ( product(c,product(a,product(b,product(b,c)))) != bigC(c,product(a,c),quotient(product(a,product(b,product(b,c))),product(a,b)))
    | product(c,product(a,product(b,product(b,c)))) = bigC(c,product(a,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,product(b,c))),product(a,b)),product(c,product(c,b))) )],[refute_0_14418,refute_0_14419]) ).

cnf(refute_0_14421,plain,
    product(c,product(a,product(b,product(b,c)))) = bigC(c,product(a,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,product(b,c)))),bigC(c,product(a,c),quotient(product(a,product(b,product(b,c))),product(a,b)))) )],[refute_0_14411,refute_0_14420]) ).

cnf(refute_0_14422,plain,
    ( product(c,product(a,product(b,product(b,c)))) != bigC(c,product(a,c),product(c,product(c,b)))
    | bigC(c,product(a,c),product(c,product(c,b))) = product(c,product(a,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(a,product(b,product(b,c)))))),bind(Y,$fot(bigC(c,product(a,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_14423,plain,
    bigC(c,product(a,c),product(c,product(c,b))) = product(c,product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,product(b,c)))),bigC(c,product(a,c),product(c,product(c,b)))) )],[refute_0_14421,refute_0_14422]) ).

cnf(refute_0_14424,plain,
    ( bigC(c,product(a,c),product(c,product(c,b))) != product(c,product(a,product(b,product(b,c))))
    | quotient(bigC(c,product(a,c),product(c,product(c,b))),product(product(c,product(c,b)),c)) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = product(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,product(a,c),product(c,product(c,b))),product(product(c,product(c,b)),c)),product(c,product(a,c))) ),[0,0],$fot(product(c,product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_14425,plain,
    ( quotient(bigC(c,product(a,c),product(c,product(c,b))),product(product(c,product(c,b)),c)) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = product(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(c,product(c,b))),product(c,product(a,product(b,product(b,c))))) )],[refute_0_14423,refute_0_14424]) ).

cnf(refute_0_14426,plain,
    quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = product(c,product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,product(a,c),product(c,product(c,b))),product(product(c,product(c,b)),c)),product(c,product(a,c))) )],[refute_0_14410,refute_0_14425]) ).

cnf(refute_0_14427,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(c,bigC(c,b,c)) != product(c,bigC(c,b,c))
    | product(c,bigC(c,b,c)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(c,b,c))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_14428,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(c,bigC(c,b,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(c,b,c))) )],[refute_0_1634,refute_0_14427]) ).

cnf(refute_0_14429,plain,
    product(c,bigC(c,b,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_14428]) ).

cnf(refute_0_14430,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(c,b,c))
    | product(product(c,product(c,b)),c) != bigC(c,product(c,b),c)
    | product(product(c,product(c,b)),c) = product(c,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),c))),bind(Y,$fot(bigC(c,product(c,b),c))),bind(Z,$fot(product(c,bigC(c,b,c))))]]) ).

cnf(refute_0_14431,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(c,b,c))
    | product(product(c,product(c,b)),c) = product(c,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),bigC(c,product(c,b),c)) )],[refute_0_1697,refute_0_14430]) ).

cnf(refute_0_14432,plain,
    product(product(c,product(c,b)),c) = product(c,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(c,b,c))) )],[refute_0_1693,refute_0_14431]) ).

cnf(refute_0_14433,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(a,b,b))
    | product(product(c,product(c,b)),c) != product(c,bigC(c,b,c))
    | product(product(c,product(c,b)),c) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),c))),bind(Y,$fot(product(c,bigC(c,b,c)))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_14434,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(a,b,b))
    | product(product(c,product(c,b)),c) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),product(c,bigC(c,b,c))) )],[refute_0_14432,refute_0_14433]) ).

cnf(refute_0_14435,plain,
    product(product(c,product(c,b)),c) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(a,b,b))) )],[refute_0_14429,refute_0_14434]) ).

cnf(refute_0_14436,plain,
    quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)),
    introduced(tautology,[refl,[$fot(quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_14437,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(a,b,b))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) != quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)),quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_14438,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(a,b,b))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)),quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c))) )],[refute_0_14436,refute_0_14437]) ).

cnf(refute_0_14439,plain,
    quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) = quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),product(c,bigC(a,b,b))) )],[refute_0_14435,refute_0_14438]) ).

cnf(refute_0_14440,plain,
    ( quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) != quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b)))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) = product(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)),product(c,product(a,c))) ),[0],$fot(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_14441,plain,
    ( quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) = product(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)),quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b)))) )],[refute_0_14439,refute_0_14440]) ).

cnf(refute_0_14442,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,product(a,c))) ),[1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14443,plain,
    ( quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(a,a,b)) )],[refute_0_2622,refute_0_14442]) ).

cnf(refute_0_14444,plain,
    ( quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)) != product(c,product(a,c))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,product(a,c))) )],[refute_0_14441,refute_0_14443]) ).

cnf(refute_0_14445,plain,
    quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(product(c,product(c,b)),c)),product(c,product(a,c))) )],[refute_0_14426,refute_0_14444]) ).

cnf(refute_0_14446,plain,
    ( product(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,bigC(a,b,b))) != product(c,product(a,product(b,product(b,c))))
    | quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))) != bigC(a,a,b)
    | product(bigC(a,a,b),product(c,bigC(a,b,b))) = product(c,product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,bigC(a,b,b))),product(c,product(a,product(b,product(b,c))))) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14447,plain,
    ( product(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,bigC(a,b,b))) != product(c,product(a,product(b,product(b,c))))
    | product(bigC(a,a,b),product(c,bigC(a,b,b))) = product(c,product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),bigC(a,a,b)) )],[refute_0_14445,refute_0_14446]) ).

cnf(refute_0_14448,plain,
    product(bigC(a,a,b),product(c,bigC(a,b,b))) = product(c,product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,product(a,product(b,product(b,c)))),product(c,bigC(a,b,b))),product(c,bigC(a,b,b))),product(c,product(a,product(b,product(b,c))))) )],[refute_0_14409,refute_0_14447]) ).

cnf(refute_0_14449,plain,
    bigC(product(a,c),product(b,product(a,c)),product(a,b)) = product(product(product(a,c),product(b,product(a,c))),product(a,product(b,c))),
    inference(subst,[],[refute_0_369:[bind(X_42,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_14450,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,c),product(b,product(a,c)))
    | product(product(a,c),product(b,product(a,c))) = bigC(product(a,c),product(c,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(c,b),c))),bind(Y,$fot(product(product(a,c),product(b,product(a,c)))))]]) ).

cnf(refute_0_14451,plain,
    product(product(a,c),product(b,product(a,c))) = bigC(product(a,c),product(c,b),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,c),product(b,product(a,c)))) )],[refute_0_3922,refute_0_14450]) ).

cnf(refute_0_14452,plain,
    ( bigC(product(a,c),product(b,product(a,c)),product(a,b)) != product(product(product(a,c),product(b,product(a,c))),product(a,product(b,c)))
    | product(product(a,c),product(b,product(a,c))) != bigC(product(a,c),product(c,b),c)
    | bigC(product(a,c),product(b,product(a,c)),product(a,b)) = product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),product(a,b)),product(product(product(a,c),product(b,product(a,c))),product(a,product(b,c)))) ),[1,0],$fot(bigC(product(a,c),product(c,b),c))]]) ).

cnf(refute_0_14453,plain,
    ( bigC(product(a,c),product(b,product(a,c)),product(a,b)) != product(product(product(a,c),product(b,product(a,c))),product(a,product(b,c)))
    | bigC(product(a,c),product(b,product(a,c)),product(a,b)) = product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(b,product(a,c))),bigC(product(a,c),product(c,b),c)) )],[refute_0_14451,refute_0_14452]) ).

cnf(refute_0_14454,plain,
    bigC(product(a,c),product(b,product(a,c)),product(a,b)) = product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),product(a,b)),product(product(product(a,c),product(b,product(a,c))),product(a,product(b,c)))) )],[refute_0_14449,refute_0_14453]) ).

cnf(refute_0_14455,plain,
    bigC(product(a,c),product(b,product(a,c)),product(a,b)) = bigC(product(a,c),product(a,b),product(b,product(a,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,b))),bind(C,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_14456,plain,
    ( bigC(product(a,c),product(b,product(a,c)),product(a,b)) != bigC(product(a,c),product(a,b),product(b,product(a,c)))
    | bigC(product(a,c),product(b,product(a,c)),product(a,b)) != product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),product(a,b)),product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))) ),[0],$fot(bigC(product(a,c),product(a,b),product(b,product(a,c))))]]) ).

cnf(refute_0_14457,plain,
    ( bigC(product(a,c),product(b,product(a,c)),product(a,b)) != product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),product(a,b)),bigC(product(a,c),product(a,b),product(b,product(a,c)))) )],[refute_0_14455,refute_0_14456]) ).

cnf(refute_0_14458,plain,
    product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) = product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))))]]) ).

cnf(refute_0_14459,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) != product(product(product(a,b),a),product(bigC(c,a,c),product(b,c)))
    | product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))),product(product(product(a,b),a),product(bigC(c,a,c),product(b,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14460,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))),product(product(product(a,b),a),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14458,refute_0_14459]) ).

cnf(refute_0_14461,plain,
    product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_4842,refute_0_14460]) ).

cnf(refute_0_14462,plain,
    product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) = product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))),
    inference(subst,[],[refute_0_4408:[bind(A,$fot(product(a,b))),bind(C,$fot(bigC(c,a,c)))]]) ).

cnf(refute_0_14463,plain,
    ( product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) != product(product(product(a,b),a),product(bigC(c,a,c),product(b,c)))
    | product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))))]]) ).

cnf(refute_0_14464,plain,
    ( product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))),product(product(product(a,b),a),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14462,refute_0_14463]) ).

cnf(refute_0_14465,plain,
    product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(bigC(c,a,c),product(b,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14461,refute_0_14464]) ).

cnf(refute_0_14466,plain,
    product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))))]]) ).

cnf(refute_0_14467,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,b),bigC(c,a,c))
    | product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) != product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))
    | product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))),product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))) ),[1,0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_14468,plain,
    ( bigC(product(a,c),product(c,b),c) != product(product(a,b),bigC(c,a,c))
    | product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))),product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))) )],[refute_0_14466,refute_0_14467]) ).

cnf(refute_0_14469,plain,
    product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),c),product(product(a,b),bigC(c,a,c))) )],[refute_0_3953,refute_0_14468]) ).

cnf(refute_0_14470,plain,
    ( product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) != product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c)))
    | product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))))),bind(Y,$fot(product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))))]]) ).

cnf(refute_0_14471,plain,
    ( product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))),product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c)))) )],[refute_0_14469,refute_0_14470]) ).

cnf(refute_0_14472,plain,
    product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(a,product(b,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14465,refute_0_14471]) ).

cnf(refute_0_14473,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))
    | product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) ),[0],$fot(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))))]]) ).

cnf(refute_0_14474,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(c,b),c),product(a,product(b,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14472,refute_0_14473]) ).

cnf(refute_0_14475,plain,
    ( bigC(product(a,c),product(b,product(a,c)),product(a,b)) != product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))) )],[refute_0_14457,refute_0_14474]) ).

cnf(refute_0_14476,plain,
    bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(b,product(a,c)),product(a,b)),product(bigC(product(a,c),product(c,b),c),product(a,product(b,c)))) )],[refute_0_14454,refute_0_14475]) ).

cnf(refute_0_14477,plain,
    bigC(c,product(a,c),b) = bigC(c,b,product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_14478,plain,
    product(bigC(c,a,c),product(b,c)) = bigC(c,product(a,c),b),
    inference(subst,[],[refute_0_10322:[bind(X_21,$fot(c)),bind(X_23,$fot(b)),bind(X_75,$fot(a))]]) ).

cnf(refute_0_14479,plain,
    ( bigC(c,product(a,c),b) != bigC(c,b,product(a,c))
    | product(bigC(c,a,c),product(b,c)) != bigC(c,product(a,c),b)
    | product(bigC(c,a,c),product(b,c)) = bigC(c,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,c),product(b,c)))),bind(Y,$fot(bigC(c,product(a,c),b))),bind(Z,$fot(bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_14480,plain,
    ( bigC(c,product(a,c),b) != bigC(c,b,product(a,c))
    | product(bigC(c,a,c),product(b,c)) = bigC(c,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,c)),bigC(c,product(a,c),b)) )],[refute_0_14478,refute_0_14479]) ).

cnf(refute_0_14481,plain,
    product(bigC(c,a,c),product(b,c)) = bigC(c,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),b),bigC(c,b,product(a,c))) )],[refute_0_14477,refute_0_14480]) ).

cnf(refute_0_14482,plain,
    product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))))]]) ).

cnf(refute_0_14483,plain,
    ( product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | product(bigC(c,a,c),product(b,c)) != bigC(c,b,product(a,c))
    | product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) ),[1,1],$fot(bigC(c,b,product(a,c)))]]) ).

cnf(refute_0_14484,plain,
    ( product(bigC(c,a,c),product(b,c)) != bigC(c,b,product(a,c))
    | product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14482,refute_0_14483]) ).

cnf(refute_0_14485,plain,
    product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(b,c)),bigC(c,b,product(a,c))) )],[refute_0_14481,refute_0_14484]) ).

cnf(refute_0_14486,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))) != product(bigC(a,a,b),bigC(c,b,product(a,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),bigC(c,b,product(a,c)))) ),[0],$fot(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))))]]) ).

cnf(refute_0_14487,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(c,a,c),product(b,c))),product(bigC(a,a,b),bigC(c,b,product(a,c)))) )],[refute_0_14485,refute_0_14486]) ).

cnf(refute_0_14488,plain,
    bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),product(bigC(c,a,c),product(b,c)))) )],[refute_0_14476,refute_0_14487]) ).

cnf(refute_0_14489,plain,
    difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))) = product(product(product(a,c),b),bigC(a,a,b)),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(bigC(a,a,b))),bind(X_37,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14490,plain,
    bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) = product(product(bigC(a,a,b),product(product(a,c),b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14491,plain,
    bigC(product(a,b),product(a,b),product(a,c)) = product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))),
    inference(subst,[],[sos08:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,b))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_14492,plain,
    bigC(product(a,b),product(a,c),product(a,b)) = product(product(a,product(b,c)),product(product(a,b),product(a,b))),
    inference(subst,[],[refute_0_127:[bind(X_45,$fot(product(a,b)))]]) ).

cnf(refute_0_14493,plain,
    product(product(a,b),product(a,b)) = product(a,b),
    inference(subst,[],[sos06:[bind(A,$fot(product(a,b)))]]) ).

cnf(refute_0_14494,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != product(product(a,product(b,c)),product(product(a,b),product(a,b)))
    | product(product(a,b),product(a,b)) != product(a,b)
    | bigC(product(a,b),product(a,c),product(a,b)) = product(product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,b)),product(product(a,product(b,c)),product(product(a,b),product(a,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_14495,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != product(product(a,product(b,c)),product(product(a,b),product(a,b)))
    | bigC(product(a,b),product(a,c),product(a,b)) = product(product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,b)),product(a,b)) )],[refute_0_14493,refute_0_14494]) ).

cnf(refute_0_14496,plain,
    bigC(product(a,b),product(a,c),product(a,b)) = product(product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,b)),product(product(a,product(b,c)),product(product(a,b),product(a,b)))) )],[refute_0_14492,refute_0_14495]) ).

cnf(refute_0_14497,plain,
    ( product(a,product(product(b,c),b)) != product(a,product(product(b,c),b))
    | product(product(b,c),b) != bigC(b,c,b)
    | product(a,product(product(b,c),b)) = product(a,bigC(b,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,c),b)),product(a,product(product(b,c),b))) ),[1,1],$fot(bigC(b,c,b))]]) ).

cnf(refute_0_14498,plain,
    ( product(product(b,c),b) != bigC(b,c,b)
    | product(a,product(product(b,c),b)) = product(a,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),b)),product(a,product(product(b,c),b))) )],[refute_0_5655,refute_0_14497]) ).

cnf(refute_0_14499,plain,
    product(a,product(product(b,c),b)) = product(a,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(b,c),b),bigC(b,c,b)) )],[refute_0_3090,refute_0_14498]) ).

cnf(refute_0_14500,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,c,b))
    | product(product(a,a),product(product(b,c),b)) != product(a,product(product(b,c),b))
    | product(product(a,a),product(product(b,c),b)) = product(a,bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(product(b,c),b)))),bind(Y,$fot(product(a,product(product(b,c),b)))),bind(Z,$fot(product(a,bigC(b,c,b))))]]) ).

cnf(refute_0_14501,plain,
    ( product(a,product(product(b,c),b)) != product(a,bigC(b,c,b))
    | product(product(a,a),product(product(b,c),b)) = product(a,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),b)),product(a,product(product(b,c),b))) )],[refute_0_5662,refute_0_14500]) ).

cnf(refute_0_14502,plain,
    product(product(a,a),product(product(b,c),b)) = product(a,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),b)),product(a,bigC(b,c,b))) )],[refute_0_14499,refute_0_14501]) ).

cnf(refute_0_14503,plain,
    product(product(a,product(b,c)),product(a,b)) = product(product(a,a),product(product(b,c),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(b,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_14504,plain,
    ( product(product(a,a),product(product(b,c),b)) != product(a,bigC(b,c,b))
    | product(product(a,product(b,c)),product(a,b)) != product(product(a,a),product(product(b,c),b))
    | product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(a,b)))),bind(Y,$fot(product(product(a,a),product(product(b,c),b)))),bind(Z,$fot(product(a,bigC(b,c,b))))]]) ).

cnf(refute_0_14505,plain,
    ( product(product(a,a),product(product(b,c),b)) != product(a,bigC(b,c,b))
    | product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,b)),product(product(a,a),product(product(b,c),b))) )],[refute_0_14503,refute_0_14504]) ).

cnf(refute_0_14506,plain,
    product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),b)),product(a,bigC(b,c,b))) )],[refute_0_14502,refute_0_14505]) ).

cnf(refute_0_14507,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != product(product(a,product(b,c)),product(a,b))
    | product(product(a,product(b,c)),product(a,b)) != product(a,bigC(b,c,b))
    | bigC(product(a,b),product(a,c),product(a,b)) = product(a,bigC(b,c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(a,c),product(a,b)),product(a,bigC(b,c,b))) ),[0],$fot(product(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_14508,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != product(product(a,product(b,c)),product(a,b))
    | bigC(product(a,b),product(a,c),product(a,b)) = product(a,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,b)),product(a,bigC(b,c,b))) )],[refute_0_14506,refute_0_14507]) ).

cnf(refute_0_14509,plain,
    bigC(product(a,b),product(a,c),product(a,b)) = product(a,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,b)),product(product(a,product(b,c)),product(a,b))) )],[refute_0_14496,refute_0_14508]) ).

cnf(refute_0_14510,plain,
    bigC(product(a,b),product(a,c),product(a,b)) = bigC(product(a,b),product(a,b),product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,b))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_14511,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != bigC(product(a,b),product(a,b),product(a,c))
    | bigC(product(a,b),product(a,c),product(a,b)) != product(a,bigC(b,c,b))
    | bigC(product(a,b),product(a,b),product(a,c)) = product(a,bigC(b,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,b)),product(a,bigC(b,c,b))) ),[0],$fot(bigC(product(a,b),product(a,b),product(a,c)))]]) ).

cnf(refute_0_14512,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != product(a,bigC(b,c,b))
    | bigC(product(a,b),product(a,b),product(a,c)) = product(a,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,b)),bigC(product(a,b),product(a,b),product(a,c))) )],[refute_0_14510,refute_0_14511]) ).

cnf(refute_0_14513,plain,
    product(a,bigC(b,c,b)) = product(a,bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,c,b)))]]) ).

cnf(refute_0_14514,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(a,bigC(b,c,b)) != product(a,bigC(b,c,b))
    | product(a,bigC(b,c,b)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,c,b)),product(a,bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_14515,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(a,bigC(b,c,b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,b)),product(a,bigC(b,c,b))) )],[refute_0_14513,refute_0_14514]) ).

cnf(refute_0_14516,plain,
    product(a,bigC(b,c,b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_14515]) ).

cnf(refute_0_14517,plain,
    ( bigC(product(a,b),product(a,b),product(a,c)) != product(a,bigC(b,c,b))
    | product(a,bigC(b,c,b)) != product(a,bigC(b,b,c))
    | bigC(product(a,b),product(a,b),product(a,c)) = product(a,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),product(a,b),product(a,c)),product(a,bigC(b,b,c))) ),[0],$fot(product(a,bigC(b,c,b)))]]) ).

cnf(refute_0_14518,plain,
    ( bigC(product(a,b),product(a,b),product(a,c)) != product(a,bigC(b,c,b))
    | bigC(product(a,b),product(a,b),product(a,c)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,b)),product(a,bigC(b,b,c))) )],[refute_0_14516,refute_0_14517]) ).

cnf(refute_0_14519,plain,
    ( bigC(product(a,b),product(a,c),product(a,b)) != product(a,bigC(b,c,b))
    | bigC(product(a,b),product(a,b),product(a,c)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,c)),product(a,bigC(b,c,b))) )],[refute_0_14512,refute_0_14518]) ).

cnf(refute_0_14520,plain,
    bigC(product(a,b),product(a,b),product(a,c)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),product(a,b)),product(a,bigC(b,c,b))) )],[refute_0_14509,refute_0_14519]) ).

cnf(refute_0_14521,plain,
    ( bigC(product(a,b),product(a,b),product(a,c)) != product(a,bigC(b,b,c))
    | bigC(product(a,b),product(a,b),product(a,c)) != product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))
    | product(a,bigC(b,b,c)) = product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,c)),product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))) ),[0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_14522,plain,
    ( bigC(product(a,b),product(a,b),product(a,c)) != product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))
    | product(a,bigC(b,b,c)) = product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,c)),product(a,bigC(b,b,c))) )],[refute_0_14520,refute_0_14521]) ).

cnf(refute_0_14523,plain,
    product(a,bigC(b,b,c)) = product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,b),product(a,c)),product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))) )],[refute_0_14491,refute_0_14522]) ).

cnf(refute_0_14524,plain,
    product(product(product(a,b),a),product(product(a,c),b)) = product(product(product(a,b),a),product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),a),product(product(a,c),b)))]]) ).

cnf(refute_0_14525,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(product(a,c),b)) != product(product(product(a,b),a),product(product(a,c),b))
    | product(product(product(a,b),a),product(product(a,c),b)) = product(bigC(a,a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),a),product(product(a,c),b)),product(product(product(a,b),a),product(product(a,c),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14526,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | product(product(product(a,b),a),product(product(a,c),b)) = product(bigC(a,a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,c),b)),product(product(product(a,b),a),product(product(a,c),b))) )],[refute_0_14524,refute_0_14525]) ).

cnf(refute_0_14527,plain,
    product(product(product(a,b),a),product(product(a,c),b)) = product(bigC(a,a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_4842,refute_0_14526]) ).

cnf(refute_0_14528,plain,
    product(product(product(a,a),product(b,c)),product(a,b)) = product(product(product(a,b),a),product(product(a,c),b)),
    inference(subst,[],[refute_0_5697:[bind(B,$fot(a)),bind(D,$fot(b)),bind(X_63,$fot(a)),bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_14529,plain,
    product(product(product(a,b),product(a,c)),product(a,b)) = product(product(product(a,a),product(b,c)),product(a,b)),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(a,b))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_14530,plain,
    ( product(product(product(a,a),product(b,c)),product(a,b)) != product(product(product(a,b),a),product(product(a,c),b))
    | product(product(product(a,b),product(a,c)),product(a,b)) != product(product(product(a,a),product(b,c)),product(a,b))
    | product(product(product(a,b),product(a,c)),product(a,b)) = product(product(product(a,b),a),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(a,c)),product(a,b)))),bind(Y,$fot(product(product(product(a,a),product(b,c)),product(a,b)))),bind(Z,$fot(product(product(product(a,b),a),product(product(a,c),b))))]]) ).

cnf(refute_0_14531,plain,
    ( product(product(product(a,a),product(b,c)),product(a,b)) != product(product(product(a,b),a),product(product(a,c),b))
    | product(product(product(a,b),product(a,c)),product(a,b)) = product(product(product(a,b),a),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(a,b)),product(product(product(a,a),product(b,c)),product(a,b))) )],[refute_0_14529,refute_0_14530]) ).

cnf(refute_0_14532,plain,
    product(product(product(a,b),product(a,c)),product(a,b)) = product(product(product(a,b),a),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(b,c)),product(a,b)),product(product(product(a,b),a),product(product(a,c),b))) )],[refute_0_14528,refute_0_14531]) ).

cnf(refute_0_14533,plain,
    product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(product(product(a,b),product(a,c)),product(a,b)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,b))),bind(X_64,$fot(product(a,c))),bind(X_66,$fot(product(a,b)))]]) ).

cnf(refute_0_14534,plain,
    ( product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) != product(product(product(a,b),product(a,c)),product(a,b))
    | product(product(product(a,b),product(a,c)),product(a,b)) != product(product(product(a,b),a),product(product(a,c),b))
    | product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(product(product(a,b),a),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(product(a,b),product(a,c)),product(a,b)))),bind(Z,$fot(product(product(product(a,b),a),product(product(a,c),b))))]]) ).

cnf(refute_0_14535,plain,
    ( product(product(product(a,b),product(a,c)),product(a,b)) != product(product(product(a,b),a),product(product(a,c),b))
    | product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(product(product(a,b),a),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))),product(product(product(a,b),product(a,c)),product(a,b))) )],[refute_0_14533,refute_0_14534]) ).

cnf(refute_0_14536,plain,
    product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(product(product(a,b),a),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),product(a,b)),product(product(product(a,b),a),product(product(a,c),b))) )],[refute_0_14532,refute_0_14535]) ).

cnf(refute_0_14537,plain,
    ( product(product(product(a,b),a),product(product(a,c),b)) != product(bigC(a,a,b),product(product(a,c),b))
    | product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) != product(product(product(a,b),a),product(product(a,c),b))
    | product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(bigC(a,a,b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(product(a,b),a),product(product(a,c),b)))),bind(Z,$fot(product(bigC(a,a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_14538,plain,
    ( product(product(product(a,b),a),product(product(a,c),b)) != product(bigC(a,a,b),product(product(a,c),b))
    | product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(bigC(a,a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))),product(product(product(a,b),a),product(product(a,c),b))) )],[refute_0_14536,refute_0_14537]) ).

cnf(refute_0_14539,plain,
    product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) = product(bigC(a,a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),a),product(product(a,c),b)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_14527,refute_0_14538]) ).

cnf(refute_0_14540,plain,
    ( product(a,bigC(b,b,c)) != product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))
    | product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))) != product(bigC(a,a,b),product(product(a,c),b))
    | product(a,bigC(b,b,c)) = product(bigC(a,a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,bigC(b,b,c)),product(bigC(a,a,b),product(product(a,c),b))) ),[0],$fot(product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))))]]) ).

cnf(refute_0_14541,plain,
    ( product(a,bigC(b,b,c)) != product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))
    | product(a,bigC(b,b,c)) = product(bigC(a,a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b))),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_14539,refute_0_14540]) ).

cnf(refute_0_14542,plain,
    product(a,bigC(b,b,c)) = product(bigC(a,a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,c)),product(product(product(a,b),product(a,b)),product(product(a,c),product(a,b)))) )],[refute_0_14523,refute_0_14541]) ).

cnf(refute_0_14543,plain,
    ( product(a,bigC(b,b,c)) != product(bigC(a,a,b),product(product(a,c),b))
    | product(bigC(a,a,b),product(product(a,c),b)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(b,b,c)))),bind(Y,$fot(product(bigC(a,a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_14544,plain,
    product(bigC(a,a,b),product(product(a,c),b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,c)),product(bigC(a,a,b),product(product(a,c),b))) )],[refute_0_14542,refute_0_14543]) ).

cnf(refute_0_14545,plain,
    ( bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) != product(product(bigC(a,a,b),product(product(a,c),b)),bigC(a,a,b))
    | product(bigC(a,a,b),product(product(a,c),b)) != product(a,bigC(b,b,c))
    | bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) = product(product(a,bigC(b,b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)),product(product(bigC(a,a,b),product(product(a,c),b)),bigC(a,a,b))) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_14546,plain,
    ( bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) != product(product(bigC(a,a,b),product(product(a,c),b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) = product(product(a,bigC(b,b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),b)),product(a,bigC(b,b,c))) )],[refute_0_14544,refute_0_14545]) ).

cnf(refute_0_14547,plain,
    bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) = product(product(a,bigC(b,b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)),product(product(bigC(a,a,b),product(product(a,c),b)),bigC(a,a,b))) )],[refute_0_14490,refute_0_14546]) ).

cnf(refute_0_14548,plain,
    bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14549,plain,
    ( bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))
    | bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) != product(product(a,bigC(b,b,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)) = product(product(a,bigC(b,b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)),product(product(a,bigC(b,b,c)),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_14550,plain,
    ( bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)) != product(product(a,bigC(b,b,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)) = product(product(a,bigC(b,b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))) )],[refute_0_14548,refute_0_14549]) ).

cnf(refute_0_14551,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)) = product(product(a,bigC(b,b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,c),b),bigC(a,a,b)),product(product(a,bigC(b,b,c)),bigC(a,a,b))) )],[refute_0_14547,refute_0_14550]) ).

cnf(refute_0_14552,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)) != product(product(a,bigC(b,b,c)),bigC(a,a,b))
    | difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))) != product(product(product(a,c),b),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = product(product(product(a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))),product(product(product(a,c),b),bigC(a,a,b))) ),[0,1],$fot(product(product(a,bigC(b,b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_14553,plain,
    ( difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))) != product(product(product(a,c),b),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = product(product(product(a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b)),product(product(a,bigC(b,b,c)),bigC(a,a,b))) )],[refute_0_14551,refute_0_14552]) ).

cnf(refute_0_14554,plain,
    difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = product(product(product(a,c),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(bigC(a,a,b),bigC(a,a,b),product(product(a,c),b))),product(product(product(a,c),b),bigC(a,a,b))) )],[refute_0_14489,refute_0_14553]) ).

cnf(refute_0_14555,plain,
    bigC(difference(c,bigC(a,a,b)),X_22,c) = product(product(difference(c,bigC(a,a,b)),X_22),bigC(a,a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(a,a,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_14556,plain,
    ( bigC(difference(c,bigC(a,a,b)),X_22,c) != product(product(difference(c,bigC(a,a,b)),X_22),bigC(a,a,b))
    | difference(c,bigC(a,a,b)) != product(a,c)
    | bigC(difference(c,bigC(a,a,b)),X_22,c) = product(product(product(a,c),X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),product(product(difference(c,bigC(a,a,b)),X_22),bigC(a,a,b))) ),[1,0,0],$fot(product(a,c))]]) ).

cnf(refute_0_14557,plain,
    ( bigC(difference(c,bigC(a,a,b)),X_22,c) != product(product(difference(c,bigC(a,a,b)),X_22),bigC(a,a,b))
    | bigC(difference(c,bigC(a,a,b)),X_22,c) = product(product(product(a,c),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,b)),product(a,c)) )],[refute_0_1028,refute_0_14556]) ).

cnf(refute_0_14558,plain,
    bigC(difference(c,bigC(a,a,b)),X_22,c) = product(product(product(a,c),X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),product(product(difference(c,bigC(a,a,b)),X_22),bigC(a,a,b))) )],[refute_0_14555,refute_0_14557]) ).

cnf(refute_0_14559,plain,
    bigC(difference(c,bigC(a,a,b)),X_22,c) = bigC(difference(c,bigC(a,a,b)),X_22,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,bigC(a,a,b)),X_22,c))]]) ).

cnf(refute_0_14560,plain,
    ( bigC(difference(c,bigC(a,a,b)),X_22,c) != bigC(difference(c,bigC(a,a,b)),X_22,c)
    | difference(c,bigC(a,a,b)) != product(a,c)
    | bigC(difference(c,bigC(a,a,b)),X_22,c) = bigC(product(a,c),X_22,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),bigC(difference(c,bigC(a,a,b)),X_22,c)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_14561,plain,
    ( difference(c,bigC(a,a,b)) != product(a,c)
    | bigC(difference(c,bigC(a,a,b)),X_22,c) = bigC(product(a,c),X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),bigC(difference(c,bigC(a,a,b)),X_22,c)) )],[refute_0_14559,refute_0_14560]) ).

cnf(refute_0_14562,plain,
    bigC(difference(c,bigC(a,a,b)),X_22,c) = bigC(product(a,c),X_22,c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,b)),product(a,c)) )],[refute_0_1028,refute_0_14561]) ).

cnf(refute_0_14563,plain,
    ( bigC(difference(c,bigC(a,a,b)),X_22,c) != bigC(product(a,c),X_22,c)
    | bigC(difference(c,bigC(a,a,b)),X_22,c) != product(product(product(a,c),X_22),bigC(a,a,b))
    | bigC(product(a,c),X_22,c) = product(product(product(a,c),X_22),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),product(product(product(a,c),X_22),bigC(a,a,b))) ),[0],$fot(bigC(product(a,c),X_22,c))]]) ).

cnf(refute_0_14564,plain,
    ( bigC(difference(c,bigC(a,a,b)),X_22,c) != product(product(product(a,c),X_22),bigC(a,a,b))
    | bigC(product(a,c),X_22,c) = product(product(product(a,c),X_22),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),bigC(product(a,c),X_22,c)) )],[refute_0_14562,refute_0_14563]) ).

cnf(refute_0_14565,plain,
    bigC(product(a,c),X_22,c) = product(product(product(a,c),X_22),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,bigC(a,a,b)),X_22,c),product(product(product(a,c),X_22),bigC(a,a,b))) )],[refute_0_14558,refute_0_14564]) ).

cnf(refute_0_14566,plain,
    ( bigC(product(a,c),X_22,c) != product(product(product(a,c),X_22),bigC(a,a,b))
    | product(product(product(a,c),X_22),bigC(a,a,b)) = bigC(product(a,c),X_22,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),X_22,c))),bind(Y,$fot(product(product(product(a,c),X_22),bigC(a,a,b))))]]) ).

cnf(refute_0_14567,plain,
    product(product(product(a,c),X_22),bigC(a,a,b)) = bigC(product(a,c),X_22,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_22,c),product(product(product(a,c),X_22),bigC(a,a,b))) )],[refute_0_14565,refute_0_14566]) ).

cnf(refute_0_14568,plain,
    product(product(product(a,c),b),bigC(a,a,b)) = bigC(product(a,c),b,c),
    inference(subst,[],[refute_0_14567:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_14569,plain,
    ( difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != product(product(product(a,c),b),bigC(a,a,b))
    | product(product(product(a,c),b),bigC(a,a,b)) != bigC(product(a,c),b,c)
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = bigC(product(a,c),b,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),bigC(product(a,c),b,c)) ),[0],$fot(product(product(product(a,c),b),bigC(a,a,b)))]]) ).

cnf(refute_0_14570,plain,
    ( difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != product(product(product(a,c),b),bigC(a,a,b))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = bigC(product(a,c),b,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(a,a,b)),bigC(product(a,c),b,c)) )],[refute_0_14568,refute_0_14569]) ).

cnf(refute_0_14571,plain,
    difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = bigC(product(a,c),b,c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),product(product(product(a,c),b),bigC(a,a,b))) )],[refute_0_14554,refute_0_14570]) ).

cnf(refute_0_14572,plain,
    product(product(a,b),product(product(c,b),a)) = bigC(a,b,product(c,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_14573,plain,
    difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) = product(product(a,b),product(product(c,b),a)),
    inference(subst,[],[refute_0_5644:[bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_14574,plain,
    ( difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) != product(product(a,b),product(product(c,b),a))
    | product(product(a,b),product(product(c,b),a)) != bigC(a,b,product(c,b))
    | difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) = bigC(a,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))))),bind(Y,$fot(product(product(a,b),product(product(c,b),a)))),bind(Z,$fot(bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_14575,plain,
    ( product(product(a,b),product(product(c,b),a)) != bigC(a,b,product(c,b))
    | difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) = bigC(a,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))),product(product(a,b),product(product(c,b),a))) )],[refute_0_14573,refute_0_14574]) ).

cnf(refute_0_14576,plain,
    difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) = bigC(a,b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,b),a)),bigC(a,b,product(c,b))) )],[refute_0_14572,refute_0_14575]) ).

cnf(refute_0_14577,plain,
    bigC(a,bigC(b,b,c),product(a,b)) = bigC(a,product(a,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(product(a,b))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_14578,plain,
    product(product(a,bigC(b,b,c)),bigC(a,a,b)) = bigC(a,bigC(b,b,c),product(a,b)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(a)),bind(X_22,$fot(bigC(b,b,c))),bind(X_86,$fot(b))]]) ).

cnf(refute_0_14579,plain,
    ( bigC(a,bigC(b,b,c),product(a,b)) != bigC(a,product(a,b),bigC(b,b,c))
    | product(product(a,bigC(b,b,c)),bigC(a,a,b)) != bigC(a,bigC(b,b,c),product(a,b))
    | product(product(a,bigC(b,b,c)),bigC(a,a,b)) = bigC(a,product(a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(b,b,c)),bigC(a,a,b)))),bind(Y,$fot(bigC(a,bigC(b,b,c),product(a,b)))),bind(Z,$fot(bigC(a,product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_14580,plain,
    ( bigC(a,bigC(b,b,c),product(a,b)) != bigC(a,product(a,b),bigC(b,b,c))
    | product(product(a,bigC(b,b,c)),bigC(a,a,b)) = bigC(a,product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(a,a,b)),bigC(a,bigC(b,b,c),product(a,b))) )],[refute_0_14578,refute_0_14579]) ).

cnf(refute_0_14581,plain,
    product(product(a,bigC(b,b,c)),bigC(a,a,b)) = bigC(a,product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,bigC(b,b,c),product(a,b)),bigC(a,product(a,b),bigC(b,b,c))) )],[refute_0_14577,refute_0_14580]) ).

cnf(refute_0_14582,plain,
    difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))))]]) ).

cnf(refute_0_14583,plain,
    ( difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b)))
    | product(product(a,bigC(b,b,c)),bigC(a,a,b)) != bigC(a,product(a,b),bigC(b,b,c))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_14584,plain,
    ( product(product(a,bigC(b,b,c)),bigC(a,a,b)) != bigC(a,product(a,b),bigC(b,b,c))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b)))) )],[refute_0_14582,refute_0_14583]) ).

cnf(refute_0_14585,plain,
    difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,b,c)),bigC(a,a,b)),bigC(a,product(a,b),bigC(b,b,c))) )],[refute_0_14581,refute_0_14584]) ).

cnf(refute_0_14586,plain,
    ( difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) != bigC(a,b,product(c,b))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c)))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = bigC(a,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))))),bind(Y,$fot(difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))))),bind(Z,$fot(bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_14587,plain,
    ( difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))) != bigC(a,b,product(c,b))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = bigC(a,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c)))) )],[refute_0_14585,refute_0_14586]) ).

cnf(refute_0_14588,plain,
    difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) = bigC(a,b,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,product(a,b),bigC(b,b,c))),bigC(a,b,product(c,b))) )],[refute_0_14576,refute_0_14587]) ).

cnf(refute_0_14589,plain,
    ( difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != bigC(a,b,product(c,b))
    | difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != bigC(product(a,c),b,c)
    | bigC(a,b,product(c,b)) = bigC(product(a,c),b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),bigC(product(a,c),b,c)) ),[0],$fot(bigC(a,b,product(c,b)))]]) ).

cnf(refute_0_14590,plain,
    ( difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))) != bigC(product(a,c),b,c)
    | bigC(a,b,product(c,b)) = bigC(product(a,c),b,c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),bigC(a,b,product(c,b))) )],[refute_0_14588,refute_0_14589]) ).

cnf(refute_0_14591,plain,
    bigC(a,b,product(c,b)) = bigC(product(a,c),b,c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(a,bigC(b,b,c)),bigC(a,a,b))),bigC(product(a,c),b,c)) )],[refute_0_14571,refute_0_14590]) ).

cnf(refute_0_14592,plain,
    bigC(bigC(a,a,b),B,product(product(a,c),c)) = product(product(bigC(a,a,b),B),product(product(product(a,c),c),bigC(a,a,b))),
    inference(subst,[],[sos08:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_14593,plain,
    quotient(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) = product(product(product(a,c),c),bigC(a,a,b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(product(a,c),c),bigC(a,a,b)))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14594,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(a,c),c)))) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(a,c),c))),bind(X_16,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14595,plain,
    ( product(bigC(a,a,b),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(a,c),c)))) != product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(a,c),c)))),product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))) ),[0,1,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_14596,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(a,c),c)))) != product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,c),c)),product(a,product(product(b,c),c))) )],[refute_0_6483,refute_0_14595]) ).

cnf(refute_0_14597,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(a,c),c)))),product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_14594,refute_0_14596]) ).

cnf(refute_0_14598,plain,
    quotient(bigC(a,b,a),product(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c)))) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(a,c),c))),bind(X_16,$fot(bigC(a,b,a)))]]) ).

cnf(refute_0_14599,plain,
    ( product(bigC(a,b,a),product(product(a,c),c)) != product(a,product(product(b,c),c))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c)))),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) ),[0,1,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_14600,plain,
    ( quotient(bigC(a,b,a),product(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(product(a,c),c)),product(a,product(product(b,c),c))) )],[refute_0_6476,refute_0_14599]) ).

cnf(refute_0_14601,plain,
    quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(bigC(a,b,a),product(product(a,c),c)))),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) )],[refute_0_14598,refute_0_14600]) ).

cnf(refute_0_14602,plain,
    product(bigC(a,b,a),product(a,product(product(b,c),c))) = product(bigC(a,b,a),product(a,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_14603,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(a,product(product(b,c),c))) != product(bigC(a,b,a),product(a,product(product(b,c),c)))
    | product(bigC(a,b,a),product(a,product(product(b,c),c))) = product(bigC(a,a,b),product(a,product(product(b,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(a,product(product(b,c),c))),product(bigC(a,b,a),product(a,product(product(b,c),c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14604,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(a,product(product(b,c),c))) = product(bigC(a,a,b),product(a,product(product(b,c),c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(a,product(product(b,c),c))),product(bigC(a,b,a),product(a,product(product(b,c),c)))) )],[refute_0_14602,refute_0_14603]) ).

cnf(refute_0_14605,plain,
    product(bigC(a,b,a),product(a,product(product(b,c),c))) = product(bigC(a,a,b),product(a,product(product(b,c),c))),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_14604]) ).

cnf(refute_0_14606,plain,
    quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))))]]) ).

cnf(refute_0_14607,plain,
    ( product(bigC(a,b,a),product(a,product(product(b,c),c))) != product(bigC(a,a,b),product(a,product(product(b,c),c)))
    | quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c))))
    | quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c))))) ),[1,1],$fot(product(bigC(a,a,b),product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_14608,plain,
    ( product(bigC(a,b,a),product(a,product(product(b,c),c))) != product(bigC(a,a,b),product(a,product(product(b,c),c)))
    | quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c))))) )],[refute_0_14606,refute_0_14607]) ).

cnf(refute_0_14609,plain,
    quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(a,product(product(b,c),c))),product(bigC(a,a,b),product(a,product(product(b,c),c)))) )],[refute_0_14605,refute_0_14608]) ).

cnf(refute_0_14610,plain,
    quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))))]]) ).

cnf(refute_0_14611,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c))))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c))))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14612,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c))))) )],[refute_0_14610,refute_0_14611]) ).

cnf(refute_0_14613,plain,
    quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_14612]) ).

cnf(refute_0_14614,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c))))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c))))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))))),bind(Y,$fot(quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))))),bind(Z,$fot(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c))))))]]) ).

cnf(refute_0_14615,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c))))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c))))) )],[refute_0_14613,refute_0_14614]) ).

cnf(refute_0_14616,plain,
    quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c))))) )],[refute_0_14609,refute_0_14615]) ).

cnf(refute_0_14617,plain,
    ( quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c))))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) ),[0],$fot(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))))]]) ).

cnf(refute_0_14618,plain,
    ( quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c))))) )],[refute_0_14616,refute_0_14617]) ).

cnf(refute_0_14619,plain,
    product(bigC(a,c,product(c,b)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,b)),bigC(a,b,a)))]]) ).

cnf(refute_0_14620,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,c,product(c,b)),bigC(a,b,a)) != product(bigC(a,c,product(c,b)),bigC(a,b,a))
    | product(bigC(a,c,product(c,b)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,b,a)),product(bigC(a,c,product(c,b)),bigC(a,b,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14621,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,c,product(c,b)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,b,a)),product(bigC(a,c,product(c,b)),bigC(a,b,a))) )],[refute_0_14619,refute_0_14620]) ).

cnf(refute_0_14622,plain,
    product(bigC(a,c,product(c,b)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_14621]) ).

cnf(refute_0_14623,plain,
    bigC(product(a,a),c,product(c,b)) = bigC(product(a,a),c,product(c,b)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),c,product(c,b)))]]) ).

cnf(refute_0_14624,plain,
    ( bigC(product(a,a),c,product(c,b)) != bigC(product(a,a),c,product(c,b))
    | product(a,a) != a
    | bigC(product(a,a),c,product(c,b)) = bigC(a,c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),c,product(c,b)),bigC(product(a,a),c,product(c,b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_14625,plain,
    ( product(a,a) != a
    | bigC(product(a,a),c,product(c,b)) = bigC(a,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,b)),bigC(product(a,a),c,product(c,b))) )],[refute_0_14623,refute_0_14624]) ).

cnf(refute_0_14626,plain,
    bigC(product(a,a),c,product(c,b)) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_14625]) ).

cnf(refute_0_14627,plain,
    bigC(product(a,a),product(c,b),c) = bigC(product(a,a),c,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,a))),bind(B,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_14628,plain,
    product(product(product(a,c),c),bigC(a,b,a)) = bigC(product(a,a),product(c,b),c),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(c)),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_14629,plain,
    ( bigC(product(a,a),product(c,b),c) != bigC(product(a,a),c,product(c,b))
    | product(product(product(a,c),c),bigC(a,b,a)) != bigC(product(a,a),product(c,b),c)
    | product(product(product(a,c),c),bigC(a,b,a)) = bigC(product(a,a),c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),bigC(a,b,a)))),bind(Y,$fot(bigC(product(a,a),product(c,b),c))),bind(Z,$fot(bigC(product(a,a),c,product(c,b))))]]) ).

cnf(refute_0_14630,plain,
    ( bigC(product(a,a),product(c,b),c) != bigC(product(a,a),c,product(c,b))
    | product(product(product(a,c),c),bigC(a,b,a)) = bigC(product(a,a),c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,b,a)),bigC(product(a,a),product(c,b),c)) )],[refute_0_14628,refute_0_14629]) ).

cnf(refute_0_14631,plain,
    product(product(product(a,c),c),bigC(a,b,a)) = bigC(product(a,a),c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),product(c,b),c),bigC(product(a,a),c,product(c,b))) )],[refute_0_14627,refute_0_14630]) ).

cnf(refute_0_14632,plain,
    ( bigC(product(a,a),c,product(c,b)) != bigC(a,c,product(c,b))
    | product(product(product(a,c),c),bigC(a,b,a)) != bigC(product(a,a),c,product(c,b))
    | product(product(product(a,c),c),bigC(a,b,a)) = bigC(a,c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),bigC(a,b,a)))),bind(Y,$fot(bigC(product(a,a),c,product(c,b)))),bind(Z,$fot(bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_14633,plain,
    ( bigC(product(a,a),c,product(c,b)) != bigC(a,c,product(c,b))
    | product(product(product(a,c),c),bigC(a,b,a)) = bigC(a,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,b,a)),bigC(product(a,a),c,product(c,b))) )],[refute_0_14631,refute_0_14632]) ).

cnf(refute_0_14634,plain,
    product(product(product(a,c),c),bigC(a,b,a)) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),c,product(c,b)),bigC(a,c,product(c,b))) )],[refute_0_14626,refute_0_14633]) ).

cnf(refute_0_14635,plain,
    product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)))]]) ).

cnf(refute_0_14636,plain,
    ( product(product(product(a,c),c),bigC(a,b,a)) != bigC(a,c,product(c,b))
    | product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) ),[1,0],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_14637,plain,
    ( product(product(product(a,c),c),bigC(a,b,a)) != bigC(a,c,product(c,b))
    | product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) )],[refute_0_14635,refute_0_14636]) ).

cnf(refute_0_14638,plain,
    product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,b,a)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,c,product(c,b))) )],[refute_0_14634,refute_0_14637]) ).

cnf(refute_0_14639,plain,
    ( product(bigC(a,c,product(c,b)),bigC(a,b,a)) != product(bigC(a,c,product(c,b)),bigC(a,a,b))
    | product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) != product(bigC(a,c,product(c,b)),bigC(a,b,a))
    | product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)))),bind(Y,$fot(product(bigC(a,c,product(c,b)),bigC(a,b,a)))),bind(Z,$fot(product(bigC(a,c,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14640,plain,
    ( product(bigC(a,c,product(c,b)),bigC(a,b,a)) != product(bigC(a,c,product(c,b)),bigC(a,a,b))
    | product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),product(bigC(a,c,product(c,b)),bigC(a,b,a))) )],[refute_0_14638,refute_0_14639]) ).

cnf(refute_0_14641,plain,
    product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,b,a)),product(bigC(a,c,product(c,b)),bigC(a,a,b))) )],[refute_0_14622,refute_0_14640]) ).

cnf(refute_0_14642,plain,
    ( product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)) != product(bigC(a,c,product(c,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) ),[1],$fot(product(bigC(a,c,product(c,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_14643,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a)),product(bigC(a,c,product(c,b)),bigC(a,a,b))) )],[refute_0_14641,refute_0_14642]) ).

cnf(refute_0_14644,plain,
    ( quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) )],[refute_0_14618,refute_0_14643]) ).

cnf(refute_0_14645,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) = product(bigC(a,c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,a),product(bigC(a,b,a),product(a,product(product(b,c),c)))),product(product(product(product(a,c),c),bigC(a,b,a)),bigC(a,b,a))) )],[refute_0_14601,refute_0_14644]) ).

cnf(refute_0_14646,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) != product(bigC(a,c,product(c,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))
    | product(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))) ),[0],$fot(product(bigC(a,c,product(c,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_14647,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))) != product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))
    | product(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),product(bigC(a,c,product(c,b)),bigC(a,a,b))) )],[refute_0_14645,refute_0_14646]) ).

cnf(refute_0_14648,plain,
    product(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(a,product(product(b,c),c)))),product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_14597,refute_0_14647]) ).

cnf(refute_0_14649,plain,
    ( product(bigC(a,c,product(c,b)),bigC(a,a,b)) != product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))
    | product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,c,product(c,b)),bigC(a,a,b)))),bind(Y,$fot(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14650,plain,
    product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) = product(bigC(a,c,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,a,b)),product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_14648,refute_0_14649]) ).

cnf(refute_0_14651,plain,
    ( product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) != product(bigC(a,c,product(c,b)),bigC(a,a,b))
    | quotient(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) = product(product(product(a,c),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)),product(product(product(a,c),c),bigC(a,a,b))) ),[0,0],$fot(product(bigC(a,c,product(c,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_14652,plain,
    ( quotient(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) = product(product(product(a,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),product(bigC(a,c,product(c,b)),bigC(a,a,b))) )],[refute_0_14650,refute_0_14651]) ).

cnf(refute_0_14653,plain,
    quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) = product(product(product(a,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)),product(product(product(a,c),c),bigC(a,a,b))) )],[refute_0_14593,refute_0_14652]) ).

cnf(refute_0_14654,plain,
    quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) = bigC(a,c,product(c,b)),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,c,product(c,b)))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14655,plain,
    ( quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) != bigC(a,c,product(c,b))
    | quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | bigC(a,c,product(c,b)) = product(product(product(a,c),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)),product(product(product(a,c),c),bigC(a,a,b))) ),[0],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_14656,plain,
    ( quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | bigC(a,c,product(c,b)) = product(product(product(a,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)),bigC(a,c,product(c,b))) )],[refute_0_14654,refute_0_14655]) ).

cnf(refute_0_14657,plain,
    bigC(a,c,product(c,b)) = product(product(product(a,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b)),product(product(product(a,c),c),bigC(a,a,b))) )],[refute_0_14653,refute_0_14656]) ).

cnf(refute_0_14658,plain,
    ( bigC(a,c,product(c,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | product(product(product(a,c),c),bigC(a,a,b)) = bigC(a,c,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,c,product(c,b)))),bind(Y,$fot(product(product(product(a,c),c),bigC(a,a,b))))]]) ).

cnf(refute_0_14659,plain,
    product(product(product(a,c),c),bigC(a,a,b)) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(product(product(a,c),c),bigC(a,a,b))) )],[refute_0_14657,refute_0_14658]) ).

cnf(refute_0_14660,plain,
    ( bigC(bigC(a,a,b),B,product(product(a,c),c)) != product(product(bigC(a,a,b),B),product(product(product(a,c),c),bigC(a,a,b)))
    | product(product(product(a,c),c),bigC(a,a,b)) != bigC(a,c,product(c,b))
    | bigC(bigC(a,a,b),B,product(product(a,c),c)) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),product(product(bigC(a,a,b),B),product(product(product(a,c),c),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_14661,plain,
    ( bigC(bigC(a,a,b),B,product(product(a,c),c)) != product(product(bigC(a,a,b),B),product(product(product(a,c),c),bigC(a,a,b)))
    | bigC(bigC(a,a,b),B,product(product(a,c),c)) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,c,product(c,b))) )],[refute_0_14659,refute_0_14660]) ).

cnf(refute_0_14662,plain,
    bigC(bigC(a,a,b),B,product(product(a,c),c)) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),product(product(bigC(a,a,b),B),product(product(product(a,c),c),bigC(a,a,b)))) )],[refute_0_14592,refute_0_14661]) ).

cnf(refute_0_14663,plain,
    bigC(bigC(a,a,b),B,product(product(a,c),c)) = bigC(bigC(a,a,b),B,product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),B,product(product(a,c),c)))]]) ).

cnf(refute_0_14664,plain,
    ( bigC(bigC(a,a,b),B,product(product(a,c),c)) != bigC(bigC(a,a,b),B,product(product(a,c),c))
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(bigC(a,a,b),B,product(product(a,c),c)) = bigC(bigC(a,a,b),B,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),bigC(bigC(a,a,b),B,product(product(a,c),c))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14665,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | bigC(bigC(a,a,b),B,product(product(a,c),c)) = bigC(bigC(a,a,b),B,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),bigC(bigC(a,a,b),B,product(product(a,c),c))) )],[refute_0_14663,refute_0_14664]) ).

cnf(refute_0_14666,plain,
    bigC(bigC(a,a,b),B,product(product(a,c),c)) = bigC(bigC(a,a,b),B,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_14665]) ).

cnf(refute_0_14667,plain,
    ( bigC(bigC(a,a,b),B,product(product(a,c),c)) != bigC(bigC(a,a,b),B,product(a,product(b,c)))
    | bigC(bigC(a,a,b),B,product(product(a,c),c)) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | bigC(bigC(a,a,b),B,product(a,product(b,c))) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) ),[0],$fot(bigC(bigC(a,a,b),B,product(a,product(b,c))))]]) ).

cnf(refute_0_14668,plain,
    ( bigC(bigC(a,a,b),B,product(product(a,c),c)) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | bigC(bigC(a,a,b),B,product(a,product(b,c))) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),bigC(bigC(a,a,b),B,product(a,product(b,c)))) )],[refute_0_14666,refute_0_14667]) ).

cnf(refute_0_14669,plain,
    bigC(bigC(a,a,b),B,product(a,product(b,c))) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(product(a,c),c)),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) )],[refute_0_14662,refute_0_14668]) ).

cnf(refute_0_14670,plain,
    bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(product(a,bigC(b,a,c)),bigC(a,a,b)))),bind(X_22,$fot(product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14671,plain,
    quotient(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),product(product(a,product(c,b)),bigC(a,a,b))) = product(bigC(a,a,b),bigC(a,a,b)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(bigC(a,a,b))),bind(X_23,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_14672,plain,
    bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),product(a,product(c,b))),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_14673,plain,
    product(bigC(a,a,b),difference(bigC(a,a,b),product(a,bigC(b,a,c)))) = product(a,bigC(b,a,c)),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(a,bigC(b,a,c))))]]) ).

cnf(refute_0_14674,plain,
    difference(product(product(a,b),a),bigC(product(a,b),a,product(a,c))) = product(product(a,c),product(a,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,b))),bind(X_22,$fot(a)),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_14675,plain,
    bigC(product(a,b),product(a,c),a) = product(product(a,a),bigC(b,a,c)),
    inference(subst,[],[refute_0_153:[bind(X_45,$fot(a))]]) ).

cnf(refute_0_14676,plain,
    ( bigC(product(a,b),product(a,c),a) != product(product(a,a),bigC(b,a,c))
    | product(a,a) != a
    | bigC(product(a,b),product(a,c),a) = product(a,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),a),product(product(a,a),bigC(b,a,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_14677,plain,
    ( bigC(product(a,b),product(a,c),a) != product(product(a,a),bigC(b,a,c))
    | bigC(product(a,b),product(a,c),a) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_14676]) ).

cnf(refute_0_14678,plain,
    bigC(product(a,b),product(a,c),a) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),a),product(product(a,a),bigC(b,a,c))) )],[refute_0_14675,refute_0_14677]) ).

cnf(refute_0_14679,plain,
    bigC(product(a,b),product(a,c),a) = bigC(product(a,b),a,product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,b))),bind(B,$fot(a)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_14680,plain,
    ( bigC(product(a,b),product(a,c),a) != bigC(product(a,b),a,product(a,c))
    | bigC(product(a,b),product(a,c),a) != product(a,bigC(b,a,c))
    | bigC(product(a,b),a,product(a,c)) = product(a,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),a),product(a,bigC(b,a,c))) ),[0],$fot(bigC(product(a,b),a,product(a,c)))]]) ).

cnf(refute_0_14681,plain,
    ( bigC(product(a,b),product(a,c),a) != product(a,bigC(b,a,c))
    | bigC(product(a,b),a,product(a,c)) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),a),bigC(product(a,b),a,product(a,c))) )],[refute_0_14679,refute_0_14680]) ).

cnf(refute_0_14682,plain,
    bigC(product(a,b),a,product(a,c)) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),a),product(a,bigC(b,a,c))) )],[refute_0_14678,refute_0_14681]) ).

cnf(refute_0_14683,plain,
    ( bigC(product(a,b),a,product(a,c)) != product(a,bigC(b,a,c))
    | difference(product(product(a,b),a),bigC(product(a,b),a,product(a,c))) != product(product(a,c),product(a,b))
    | difference(product(product(a,b),a),product(a,bigC(b,a,c))) = product(product(a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),a),bigC(product(a,b),a,product(a,c))),product(product(a,c),product(a,b))) ),[0,1],$fot(product(a,bigC(b,a,c)))]]) ).

cnf(refute_0_14684,plain,
    ( difference(product(product(a,b),a),bigC(product(a,b),a,product(a,c))) != product(product(a,c),product(a,b))
    | difference(product(product(a,b),a),product(a,bigC(b,a,c))) = product(product(a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),a,product(a,c)),product(a,bigC(b,a,c))) )],[refute_0_14682,refute_0_14683]) ).

cnf(refute_0_14685,plain,
    difference(product(product(a,b),a),product(a,bigC(b,a,c))) = product(product(a,c),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),a),bigC(product(a,b),a,product(a,c))),product(product(a,c),product(a,b))) )],[refute_0_14674,refute_0_14684]) ).

cnf(refute_0_14686,plain,
    difference(product(product(a,b),a),product(a,bigC(b,a,c))) = difference(product(product(a,b),a),product(a,bigC(b,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),a),product(a,bigC(b,a,c))))]]) ).

cnf(refute_0_14687,plain,
    ( difference(product(product(a,b),a),product(a,bigC(b,a,c))) != difference(product(product(a,b),a),product(a,bigC(b,a,c)))
    | product(product(a,b),a) != bigC(a,a,b)
    | difference(product(product(a,b),a),product(a,bigC(b,a,c))) = difference(bigC(a,a,b),product(a,bigC(b,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),a),product(a,bigC(b,a,c))),difference(product(product(a,b),a),product(a,bigC(b,a,c)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14688,plain,
    ( product(product(a,b),a) != bigC(a,a,b)
    | difference(product(product(a,b),a),product(a,bigC(b,a,c))) = difference(bigC(a,a,b),product(a,bigC(b,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),a),product(a,bigC(b,a,c))),difference(product(product(a,b),a),product(a,bigC(b,a,c)))) )],[refute_0_14686,refute_0_14687]) ).

cnf(refute_0_14689,plain,
    difference(product(product(a,b),a),product(a,bigC(b,a,c))) = difference(bigC(a,a,b),product(a,bigC(b,a,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),a),bigC(a,a,b)) )],[refute_0_4842,refute_0_14688]) ).

cnf(refute_0_14690,plain,
    ( difference(product(product(a,b),a),product(a,bigC(b,a,c))) != difference(bigC(a,a,b),product(a,bigC(b,a,c)))
    | difference(product(product(a,b),a),product(a,bigC(b,a,c))) != product(product(a,c),product(a,b))
    | difference(bigC(a,a,b),product(a,bigC(b,a,c))) = product(product(a,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),a),product(a,bigC(b,a,c))),product(product(a,c),product(a,b))) ),[0],$fot(difference(bigC(a,a,b),product(a,bigC(b,a,c))))]]) ).

cnf(refute_0_14691,plain,
    ( difference(product(product(a,b),a),product(a,bigC(b,a,c))) != product(product(a,c),product(a,b))
    | difference(bigC(a,a,b),product(a,bigC(b,a,c))) = product(product(a,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),a),product(a,bigC(b,a,c))),difference(bigC(a,a,b),product(a,bigC(b,a,c)))) )],[refute_0_14689,refute_0_14690]) ).

cnf(refute_0_14692,plain,
    ( difference(bigC(a,a,b),product(a,bigC(b,a,c))) != product(product(a,c),product(a,b))
    | product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(bigC(a,a,b),product(a,bigC(b,a,c))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),product(a,bigC(b,a,c))),product(a,product(c,b))) ),[0],$fot(product(product(a,c),product(a,b)))]]) ).

cnf(refute_0_14693,plain,
    ( difference(bigC(a,a,b),product(a,bigC(b,a,c))) != product(product(a,c),product(a,b))
    | difference(bigC(a,a,b),product(a,bigC(b,a,c))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_14692]) ).

cnf(refute_0_14694,plain,
    ( difference(product(product(a,b),a),product(a,bigC(b,a,c))) != product(product(a,c),product(a,b))
    | difference(bigC(a,a,b),product(a,bigC(b,a,c))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,bigC(b,a,c))),product(product(a,c),product(a,b))) )],[refute_0_14691,refute_0_14693]) ).

cnf(refute_0_14695,plain,
    difference(bigC(a,a,b),product(a,bigC(b,a,c))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),a),product(a,bigC(b,a,c))),product(product(a,c),product(a,b))) )],[refute_0_14685,refute_0_14694]) ).

cnf(refute_0_14696,plain,
    ( difference(bigC(a,a,b),product(a,bigC(b,a,c))) != product(a,product(c,b))
    | product(bigC(a,a,b),difference(bigC(a,a,b),product(a,bigC(b,a,c)))) != product(a,bigC(b,a,c))
    | product(bigC(a,a,b),product(a,product(c,b))) = product(a,bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),product(a,bigC(b,a,c)))),product(a,bigC(b,a,c))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_14697,plain,
    ( product(bigC(a,a,b),difference(bigC(a,a,b),product(a,bigC(b,a,c)))) != product(a,bigC(b,a,c))
    | product(bigC(a,a,b),product(a,product(c,b))) = product(a,bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(a,bigC(b,a,c))),product(a,product(c,b))) )],[refute_0_14695,refute_0_14696]) ).

cnf(refute_0_14698,plain,
    product(bigC(a,a,b),product(a,product(c,b))) = product(a,bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),difference(bigC(a,a,b),product(a,bigC(b,a,c)))),product(a,bigC(b,a,c))) )],[refute_0_14673,refute_0_14697]) ).

cnf(refute_0_14699,plain,
    ( bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),product(a,product(c,b))),bigC(a,a,b))
    | product(bigC(a,a,b),product(a,product(c,b))) != product(a,bigC(b,a,c))
    | bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) = product(product(a,bigC(b,a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)),product(product(bigC(a,a,b),product(a,product(c,b))),bigC(a,a,b))) ),[1,0],$fot(product(a,bigC(b,a,c)))]]) ).

cnf(refute_0_14700,plain,
    ( bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),product(a,product(c,b))),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) = product(product(a,bigC(b,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(c,b))),product(a,bigC(b,a,c))) )],[refute_0_14698,refute_0_14699]) ).

cnf(refute_0_14701,plain,
    bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) = product(product(a,bigC(b,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)),product(product(bigC(a,a,b),product(a,product(c,b))),bigC(a,a,b))) )],[refute_0_14672,refute_0_14700]) ).

cnf(refute_0_14702,plain,
    bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_14703,plain,
    ( bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b)))
    | bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) != product(product(a,bigC(b,a,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))) = product(product(a,bigC(b,a,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)),product(product(a,bigC(b,a,c)),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))))]]) ).

cnf(refute_0_14704,plain,
    ( bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)) != product(product(a,bigC(b,a,c)),bigC(a,a,b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))) = product(product(a,bigC(b,a,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b)))) )],[refute_0_14702,refute_0_14703]) ).

cnf(refute_0_14705,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))) = product(product(a,bigC(b,a,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(c,b)),bigC(a,a,b)),product(product(a,bigC(b,a,c)),bigC(a,a,b))) )],[refute_0_14701,refute_0_14704]) ).

cnf(refute_0_14706,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))) != product(product(a,bigC(b,a,c)),bigC(a,a,b))
    | quotient(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),product(product(a,product(c,b)),bigC(a,a,b))) != product(bigC(a,a,b),bigC(a,a,b))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(bigC(a,a,b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),product(product(a,product(c,b)),bigC(a,a,b))),product(bigC(a,a,b),bigC(a,a,b))) ),[0,0],$fot(product(product(a,bigC(b,a,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_14707,plain,
    ( quotient(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),product(product(a,product(c,b)),bigC(a,a,b))) != product(bigC(a,a,b),bigC(a,a,b))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(bigC(a,a,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),product(product(a,bigC(b,a,c)),bigC(a,a,b))) )],[refute_0_14705,refute_0_14706]) ).

cnf(refute_0_14708,plain,
    quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) = product(bigC(a,a,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(bigC(a,a,b),bigC(a,a,b),product(a,product(c,b))),product(product(a,product(c,b)),bigC(a,a,b))),product(bigC(a,a,b),bigC(a,a,b))) )],[refute_0_14671,refute_0_14707]) ).

cnf(refute_0_14709,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != product(bigC(a,a,b),bigC(a,a,b))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(bigC(a,a,b),bigC(a,a,b))) ),[1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14710,plain,
    ( quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != product(bigC(a,a,b),bigC(a,a,b))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_4883,refute_0_14709]) ).

cnf(refute_0_14711,plain,
    quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(bigC(a,a,b),bigC(a,a,b))) )],[refute_0_14708,refute_0_14710]) ).

cnf(refute_0_14712,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14713,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_14711,refute_0_14712]) ).

cnf(refute_0_14714,plain,
    bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) )],[refute_0_14670,refute_0_14713]) ).

cnf(refute_0_14715,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) ),[1,1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14716,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_14711,refute_0_14715]) ).

cnf(refute_0_14717,plain,
    bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) )],[refute_0_14670,refute_0_14716]) ).

cnf(refute_0_14718,plain,
    bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23))]]) ).

cnf(refute_0_14719,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23)
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14720,plain,
    ( quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23)) )],[refute_0_14718,refute_0_14719]) ).

cnf(refute_0_14721,plain,
    bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_14711,refute_0_14720]) ).

cnf(refute_0_14722,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23)
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))) ),[0],$fot(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23))]]) ).

cnf(refute_0_14723,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23)) )],[refute_0_14721,refute_0_14722]) ).

cnf(refute_0_14724,plain,
    product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,bigC(b,a,c)))),bind(X_64,$fot(X_23)),bind(X_66,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14725,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))
    | product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) ),[0],$fot(product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))))]]) ).

cnf(refute_0_14726,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b))),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) )],[refute_0_14724,refute_0_14725]) ).

cnf(refute_0_14727,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))) )],[refute_0_14723,refute_0_14726]) ).

cnf(refute_0_14728,plain,
    bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,bigC(a,a,b)))) )],[refute_0_14717,refute_0_14727]) ).

cnf(refute_0_14729,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) ),[0],$fot(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)))]]) ).

cnf(refute_0_14730,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) )],[refute_0_14728,refute_0_14729]) ).

cnf(refute_0_14731,plain,
    bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14732,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) != bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))),bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14733,plain,
    ( quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))) != bigC(a,a,b)
    | bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))),bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14731,refute_0_14732]) ).

cnf(refute_0_14734,plain,
    bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),bigC(a,a,b)) )],[refute_0_14711,refute_0_14733]) ).

cnf(refute_0_14735,plain,
    product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) = bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(product(a,bigC(b,a,c)),bigC(a,a,b)))),bind(X_22,$fot(product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14736,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) != bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))))),bind(Y,$fot(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))))),bind(Z,$fot(bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))))]]) ).

cnf(refute_0_14737,plain,
    ( bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))),bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14735,refute_0_14736]) ).

cnf(refute_0_14738,plain,
    product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))),X_23,product(product(a,product(c,b)),bigC(a,a,b))),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14734,refute_0_14737]) ).

cnf(refute_0_14739,plain,
    ( product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) ),[0],$fot(product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))))]]) ).

cnf(refute_0_14740,plain,
    ( product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b))))),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14738,refute_0_14739]) ).

cnf(refute_0_14741,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) )],[refute_0_14730,refute_0_14740]) ).

cnf(refute_0_14742,plain,
    product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(X_23,quotient(product(product(a,bigC(b,a,c)),bigC(a,a,b)),product(product(a,product(c,b)),bigC(a,a,b)))))) )],[refute_0_14714,refute_0_14741]) ).

cnf(refute_0_14743,plain,
    bigC(product(a,c),product(a,c),product(c,b)) = product(product(a,c),product(product(c,b),product(a,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(a,c))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_14744,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(a,product(b,c))
    | bigC(product(a,c),product(a,c),product(c,b)) != product(product(a,c),product(product(c,b),product(a,c)))
    | product(a,product(b,c)) = product(product(a,c),product(product(c,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(product(a,c),product(product(c,b),product(a,c)))) ),[0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14745,plain,
    ( bigC(product(a,c),product(a,c),product(c,b)) != product(product(a,c),product(product(c,b),product(a,c)))
    | product(a,product(b,c)) = product(product(a,c),product(product(c,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(a,product(b,c))) )],[refute_0_461,refute_0_14744]) ).

cnf(refute_0_14746,plain,
    product(a,product(b,c)) = product(product(a,c),product(product(c,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),product(c,b)),product(product(a,c),product(product(c,b),product(a,c)))) )],[refute_0_14743,refute_0_14745]) ).

cnf(refute_0_14747,plain,
    product(product(a,product(c,b)),bigC(c,c,a)) = product(product(a,product(c,b)),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),bigC(c,c,a)))]]) ).

cnf(refute_0_14748,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(product(a,product(c,b)),bigC(c,c,a)) != product(product(a,product(c,b)),bigC(c,c,a))
    | product(product(a,product(c,b)),bigC(c,c,a)) = product(product(a,product(c,b)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,c,a)),product(product(a,product(c,b)),bigC(c,c,a))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_14749,plain,
    ( bigC(c,c,a) != bigC(c,a,c)
    | product(product(a,product(c,b)),bigC(c,c,a)) = product(product(a,product(c,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,c,a)),product(product(a,product(c,b)),bigC(c,c,a))) )],[refute_0_14747,refute_0_14748]) ).

cnf(refute_0_14750,plain,
    product(product(a,product(c,b)),bigC(c,c,a)) = product(product(a,product(c,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(c,a,c)) )],[refute_0_894,refute_0_14749]) ).

cnf(refute_0_14751,plain,
    product(product(a,c),product(product(c,b),product(a,c))) = product(product(a,product(c,b)),bigC(c,c,a)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,b))),bind(X_84,$fot(a))]]) ).

cnf(refute_0_14752,plain,
    ( product(product(a,c),product(product(c,b),product(a,c))) != product(product(a,product(c,b)),bigC(c,c,a))
    | product(product(a,product(c,b)),bigC(c,c,a)) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(product(a,c),product(product(c,b),product(a,c))) = product(product(a,product(c,b)),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(product(c,b),product(a,c))))),bind(Y,$fot(product(product(a,product(c,b)),bigC(c,c,a)))),bind(Z,$fot(product(product(a,product(c,b)),bigC(c,a,c))))]]) ).

cnf(refute_0_14753,plain,
    ( product(product(a,product(c,b)),bigC(c,c,a)) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(product(a,c),product(product(c,b),product(a,c))) = product(product(a,product(c,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(a,c))),product(product(a,product(c,b)),bigC(c,c,a))) )],[refute_0_14751,refute_0_14752]) ).

cnf(refute_0_14754,plain,
    product(product(a,c),product(product(c,b),product(a,c))) = product(product(a,product(c,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,c,a)),product(product(a,product(c,b)),bigC(c,a,c))) )],[refute_0_14750,refute_0_14753]) ).

cnf(refute_0_14755,plain,
    ( product(a,product(b,c)) != product(product(a,c),product(product(c,b),product(a,c)))
    | product(product(a,c),product(product(c,b),product(a,c))) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(a,product(b,c)) = product(product(a,product(c,b)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,c)),product(product(a,product(c,b)),bigC(c,a,c))) ),[0],$fot(product(product(a,c),product(product(c,b),product(a,c))))]]) ).

cnf(refute_0_14756,plain,
    ( product(a,product(b,c)) != product(product(a,c),product(product(c,b),product(a,c)))
    | product(a,product(b,c)) = product(product(a,product(c,b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(a,c))),product(product(a,product(c,b)),bigC(c,a,c))) )],[refute_0_14754,refute_0_14755]) ).

cnf(refute_0_14757,plain,
    product(a,product(b,c)) = product(product(a,product(c,b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(product(a,c),product(product(c,b),product(a,c)))) )],[refute_0_14746,refute_0_14756]) ).

cnf(refute_0_14758,plain,
    product(product(a,product(c,b)),bigC(c,a,c)) = product(product(a,product(c,b)),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(a,product(c,b)),bigC(c,a,c)))]]) ).

cnf(refute_0_14759,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(a,product(c,b)),bigC(c,a,c)) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(product(a,product(c,b)),bigC(c,a,c)) = product(product(a,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,a,c)),product(product(a,product(c,b)),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14760,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(a,product(c,b)),bigC(c,a,c)) = product(product(a,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,a,c)),product(product(a,product(c,b)),bigC(c,a,c))) )],[refute_0_14758,refute_0_14759]) ).

cnf(refute_0_14761,plain,
    product(product(a,product(c,b)),bigC(c,a,c)) = product(product(a,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_14760]) ).

cnf(refute_0_14762,plain,
    ( product(a,product(b,c)) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(product(a,product(c,b)),bigC(c,a,c)) != product(product(a,product(c,b)),bigC(a,a,b))
    | product(a,product(b,c)) = product(product(a,product(c,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,c)),product(product(a,product(c,b)),bigC(a,a,b))) ),[0],$fot(product(product(a,product(c,b)),bigC(c,a,c)))]]) ).

cnf(refute_0_14763,plain,
    ( product(a,product(b,c)) != product(product(a,product(c,b)),bigC(c,a,c))
    | product(a,product(b,c)) = product(product(a,product(c,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(c,a,c)),product(product(a,product(c,b)),bigC(a,a,b))) )],[refute_0_14761,refute_0_14762]) ).

cnf(refute_0_14764,plain,
    product(a,product(b,c)) = product(product(a,product(c,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(product(a,product(c,b)),bigC(c,a,c))) )],[refute_0_14757,refute_0_14763]) ).

cnf(refute_0_14765,plain,
    ( product(a,product(b,c)) != product(product(a,product(c,b)),bigC(a,a,b))
    | product(product(a,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,c)))),bind(Y,$fot(product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14766,plain,
    product(product(a,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,c)),product(product(a,product(c,b)),bigC(a,a,b))) )],[refute_0_14764,refute_0_14765]) ).

cnf(refute_0_14767,plain,
    bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23))]]) ).

cnf(refute_0_14768,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23)
    | product(product(a,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(a,product(b,c)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23)) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14769,plain,
    ( product(product(a,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(a,product(b,c)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23)) )],[refute_0_14767,refute_0_14768]) ).

cnf(refute_0_14770,plain,
    bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) = bigC(bigC(a,a,b),product(a,product(b,c)),X_23),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_14766,refute_0_14769]) ).

cnf(refute_0_14771,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != bigC(bigC(a,a,b),product(a,product(b,c)),X_23)
    | bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) ),[0],$fot(bigC(bigC(a,a,b),product(a,product(b,c)),X_23))]]) ).

cnf(refute_0_14772,plain,
    ( bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),bigC(bigC(a,a,b),product(a,product(b,c)),X_23)) )],[refute_0_14770,refute_0_14771]) ).

cnf(refute_0_14773,plain,
    bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(a,product(c,b)),bigC(a,a,b)),X_23),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) )],[refute_0_14728,refute_0_14772]) ).

cnf(refute_0_14774,plain,
    ( bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(bigC(a,a,b),product(a,product(b,c)),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(bigC(a,a,b),product(a,product(b,c)),X_23))),bind(Y,$fot(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))))]]) ).

cnf(refute_0_14775,plain,
    product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(bigC(a,a,b),product(a,product(b,c)),X_23),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) )],[refute_0_14773,refute_0_14774]) ).

cnf(refute_0_14776,plain,
    ( product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != bigC(bigC(a,a,b),product(a,product(b,c)),X_23)
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) ),[0],$fot(bigC(bigC(a,a,b),product(a,product(b,c)),X_23))]]) ).

cnf(refute_0_14777,plain,
    ( product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),bigC(bigC(a,a,b),product(a,product(b,c)),X_23)) )],[refute_0_14775,refute_0_14776]) ).

cnf(refute_0_14778,plain,
    bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))))]]) ).

cnf(refute_0_14779,plain,
    ( bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | product(product(a,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14780,plain,
    ( product(product(a,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14778,refute_0_14779]) ).

cnf(refute_0_14781,plain,
    bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_14766,refute_0_14780]) ).

cnf(refute_0_14782,plain,
    ( bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))) != bigC(bigC(a,a,b),X_23,product(a,product(b,c)))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) ),[1],$fot(bigC(bigC(a,a,b),X_23,product(a,product(b,c))))]]) ).

cnf(refute_0_14783,plain,
    ( bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b))),bigC(bigC(a,a,b),X_23,product(a,product(b,c)))) )],[refute_0_14781,refute_0_14782]) ).

cnf(refute_0_14784,plain,
    ( product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14777,refute_0_14783]) ).

cnf(refute_0_14785,plain,
    bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),bigC(bigC(a,a,b),X_23,product(product(a,product(c,b)),bigC(a,a,b)))) )],[refute_0_14742,refute_0_14784]) ).

cnf(refute_0_14786,plain,
    product(product(product(a,c),X_23),bigC(a,a,b)) = bigC(product(a,c),X_23,c),
    inference(subst,[],[refute_0_14567:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_14787,plain,
    product(a,bigC(b,a,c)) = product(a,bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,a,c)))]]) ).

cnf(refute_0_14788,plain,
    ( bigC(b,a,c) != c
    | product(a,bigC(b,a,c)) != product(a,bigC(b,a,c))
    | product(a,bigC(b,a,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,a,c)),product(a,bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_14789,plain,
    ( bigC(b,a,c) != c
    | product(a,bigC(b,a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,c)),product(a,bigC(b,a,c))) )],[refute_0_14787,refute_0_14788]) ).

cnf(refute_0_14790,plain,
    product(a,bigC(b,a,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_14789]) ).

cnf(refute_0_14791,plain,
    product(product(a,bigC(b,a,c)),X_23) = product(product(a,bigC(b,a,c)),X_23),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(b,a,c)),X_23))]]) ).

cnf(refute_0_14792,plain,
    ( product(a,bigC(b,a,c)) != product(a,c)
    | product(product(a,bigC(b,a,c)),X_23) != product(product(a,bigC(b,a,c)),X_23)
    | product(product(a,bigC(b,a,c)),X_23) = product(product(a,c),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(b,a,c)),X_23),product(product(a,bigC(b,a,c)),X_23)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_14793,plain,
    ( product(a,bigC(b,a,c)) != product(a,c)
    | product(product(a,bigC(b,a,c)),X_23) = product(product(a,c),X_23) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,c)),X_23),product(product(a,bigC(b,a,c)),X_23)) )],[refute_0_14791,refute_0_14792]) ).

cnf(refute_0_14794,plain,
    product(product(a,bigC(b,a,c)),X_23) = product(product(a,c),X_23),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,a,c)),product(a,c)) )],[refute_0_14790,refute_0_14793]) ).

cnf(refute_0_14795,plain,
    product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)))]]) ).

cnf(refute_0_14796,plain,
    ( product(product(a,bigC(b,a,c)),X_23) != product(product(a,c),X_23)
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = product(product(product(a,c),X_23),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) ),[1,0],$fot(product(product(a,c),X_23))]]) ).

cnf(refute_0_14797,plain,
    ( product(product(a,bigC(b,a,c)),X_23) != product(product(a,c),X_23)
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = product(product(product(a,c),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) )],[refute_0_14795,refute_0_14796]) ).

cnf(refute_0_14798,plain,
    product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = product(product(product(a,c),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(b,a,c)),X_23),product(product(a,c),X_23)) )],[refute_0_14794,refute_0_14797]) ).

cnf(refute_0_14799,plain,
    ( product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != product(product(product(a,c),X_23),bigC(a,a,b))
    | product(product(product(a,c),X_23),bigC(a,a,b)) != bigC(product(a,c),X_23,c)
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(product(a,c),X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)))),bind(Y,$fot(product(product(product(a,c),X_23),bigC(a,a,b)))),bind(Z,$fot(bigC(product(a,c),X_23,c)))]]) ).

cnf(refute_0_14800,plain,
    ( product(product(product(a,c),X_23),bigC(a,a,b)) != bigC(product(a,c),X_23,c)
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(product(a,c),X_23,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),product(product(product(a,c),X_23),bigC(a,a,b))) )],[refute_0_14798,refute_0_14799]) ).

cnf(refute_0_14801,plain,
    product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) = bigC(product(a,c),X_23,c),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),X_23),bigC(a,a,b)),bigC(product(a,c),X_23,c)) )],[refute_0_14786,refute_0_14800]) ).

cnf(refute_0_14802,plain,
    ( bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)) != bigC(product(a,c),X_23,c)
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(product(a,c),X_23,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),bigC(product(a,c),X_23,c)) ),[0],$fot(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)))]]) ).

cnf(refute_0_14803,plain,
    ( bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(product(a,c),X_23,c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b)),bigC(product(a,c),X_23,c)) )],[refute_0_14801,refute_0_14802]) ).

cnf(refute_0_14804,plain,
    bigC(bigC(a,a,b),product(a,product(b,c)),X_23) = bigC(product(a,c),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),product(product(product(a,bigC(b,a,c)),X_23),bigC(a,a,b))) )],[refute_0_14773,refute_0_14803]) ).

cnf(refute_0_14805,plain,
    ( bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != bigC(bigC(a,a,b),X_23,product(a,product(b,c)))
    | bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != bigC(product(a,c),X_23,c)
    | bigC(product(a,c),X_23,c) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),bigC(bigC(a,a,b),X_23,product(a,product(b,c)))) ),[0],$fot(bigC(product(a,c),X_23,c))]]) ).

cnf(refute_0_14806,plain,
    ( bigC(bigC(a,a,b),product(a,product(b,c)),X_23) != bigC(bigC(a,a,b),X_23,product(a,product(b,c)))
    | bigC(product(a,c),X_23,c) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),bigC(product(a,c),X_23,c)) )],[refute_0_14804,refute_0_14805]) ).

cnf(refute_0_14807,plain,
    bigC(product(a,c),X_23,c) = bigC(bigC(a,a,b),X_23,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(a,product(b,c)),X_23),bigC(bigC(a,a,b),X_23,product(a,product(b,c)))) )],[refute_0_14785,refute_0_14806]) ).

cnf(refute_0_14808,plain,
    ( bigC(product(a,c),X_23,c) != bigC(bigC(a,a,b),X_23,product(a,product(b,c)))
    | bigC(bigC(a,a,b),X_23,product(a,product(b,c))) = bigC(product(a,c),X_23,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),X_23,c))),bind(Y,$fot(bigC(bigC(a,a,b),X_23,product(a,product(b,c)))))]]) ).

cnf(refute_0_14809,plain,
    bigC(bigC(a,a,b),X_23,product(a,product(b,c))) = bigC(product(a,c),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_23,c),bigC(bigC(a,a,b),X_23,product(a,product(b,c)))) )],[refute_0_14807,refute_0_14808]) ).

cnf(refute_0_14810,plain,
    bigC(bigC(a,a,b),B,product(a,product(b,c))) = bigC(product(a,c),B,c),
    inference(subst,[],[refute_0_14809:[bind(X_23,$fot(B))]]) ).

cnf(refute_0_14811,plain,
    ( bigC(bigC(a,a,b),B,product(a,product(b,c))) != bigC(product(a,c),B,c)
    | bigC(bigC(a,a,b),B,product(a,product(b,c))) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | bigC(product(a,c),B,c) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),B,product(a,product(b,c))),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) ),[0],$fot(bigC(product(a,c),B,c))]]) ).

cnf(refute_0_14812,plain,
    ( bigC(bigC(a,a,b),B,product(a,product(b,c))) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | bigC(product(a,c),B,c) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(a,product(b,c))),bigC(product(a,c),B,c)) )],[refute_0_14810,refute_0_14811]) ).

cnf(refute_0_14813,plain,
    bigC(product(a,c),B,c) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),B,product(a,product(b,c))),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) )],[refute_0_14669,refute_0_14812]) ).

cnf(refute_0_14814,plain,
    product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) = product(bigC(a,a,b),product(B,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(bigC(a,a,b))),bind(X_65,$fot(B)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_14815,plain,
    ( product(bigC(a,a,b),product(B,c)) != bigC(c,product(a,c),B)
    | product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) != product(bigC(a,a,b),product(B,c))
    | product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) = bigC(c,product(a,c),B) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)))),bind(Y,$fot(product(bigC(a,a,b),product(B,c)))),bind(Z,$fot(bigC(c,product(a,c),B)))]]) ).

cnf(refute_0_14816,plain,
    ( product(bigC(a,a,b),product(B,c)) != bigC(c,product(a,c),B)
    | product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) = bigC(c,product(a,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)),product(bigC(a,a,b),product(B,c))) )],[refute_0_14814,refute_0_14815]) ).

cnf(refute_0_14817,plain,
    product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) = bigC(c,product(a,c),B),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(B,c)),bigC(c,product(a,c),B)) )],[refute_0_1034,refute_0_14816]) ).

cnf(refute_0_14818,plain,
    bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),product(c,product(c,b))),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14819,plain,
    ( bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),product(c,product(c,b))),bigC(a,a,b))
    | product(bigC(a,a,b),product(c,product(c,b))) != product(a,product(b,c))
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),product(product(bigC(a,a,b),product(c,product(c,b))),bigC(a,a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14820,plain,
    ( bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),product(c,product(c,b))),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,product(c,b))),product(a,product(b,c))) )],[refute_0_6794,refute_0_14819]) ).

cnf(refute_0_14821,plain,
    bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(a,product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),product(product(bigC(a,a,b),product(c,product(c,b))),bigC(a,a,b))) )],[refute_0_14818,refute_0_14820]) ).

cnf(refute_0_14822,plain,
    product(product(bigC(a,a,b),bigC(a,a,b)),c) = product(product(bigC(a,a,b),bigC(a,a,b)),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),bigC(a,a,b)),c))]]) ).

cnf(refute_0_14823,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | product(product(bigC(a,a,b),bigC(a,a,b)),c) != product(product(bigC(a,a,b),bigC(a,a,b)),c)
    | product(product(bigC(a,a,b),bigC(a,a,b)),c) = product(bigC(a,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),bigC(a,a,b)),c),product(product(bigC(a,a,b),bigC(a,a,b)),c)) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_14824,plain,
    ( product(bigC(a,a,b),bigC(a,a,b)) != bigC(a,a,b)
    | product(product(bigC(a,a,b),bigC(a,a,b)),c) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(a,a,b)),c),product(product(bigC(a,a,b),bigC(a,a,b)),c)) )],[refute_0_14822,refute_0_14823]) ).

cnf(refute_0_14825,plain,
    product(product(bigC(a,a,b),bigC(a,a,b)),c) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,a,b)),bigC(a,a,b)) )],[refute_0_4883,refute_0_14824]) ).

cnf(refute_0_14826,plain,
    bigC(bigC(a,a,b),X_22,quotient(c,bigC(a,a,b))) = product(product(bigC(a,a,b),X_22),c),
    inference(subst,[],[refute_0_356:[bind(A,$fot(c)),bind(X_21,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14827,plain,
    ( bigC(bigC(a,a,b),X_22,quotient(c,bigC(a,a,b))) != product(product(bigC(a,a,b),X_22),c)
    | quotient(c,bigC(a,a,b)) != product(c,product(c,b))
    | bigC(bigC(a,a,b),X_22,product(c,product(c,b))) = product(product(bigC(a,a,b),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),X_22,quotient(c,bigC(a,a,b))),product(product(bigC(a,a,b),X_22),c)) ),[0,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_14828,plain,
    ( bigC(bigC(a,a,b),X_22,quotient(c,bigC(a,a,b))) != product(product(bigC(a,a,b),X_22),c)
    | bigC(bigC(a,a,b),X_22,product(c,product(c,b))) = product(product(bigC(a,a,b),X_22),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,b)),product(c,product(c,b))) )],[refute_0_6784,refute_0_14827]) ).

cnf(refute_0_14829,plain,
    bigC(bigC(a,a,b),X_22,product(c,product(c,b))) = product(product(bigC(a,a,b),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),X_22,quotient(c,bigC(a,a,b))),product(product(bigC(a,a,b),X_22),c)) )],[refute_0_14826,refute_0_14828]) ).

cnf(refute_0_14830,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b))) = product(product(bigC(a,a,b),bigC(a,a,b)),c),
    inference(subst,[],[refute_0_14829:[bind(X_22,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_14831,plain,
    bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_14832,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b))) != product(product(bigC(a,a,b),bigC(a,a,b)),c)
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b)))
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(a,a,b)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b))))),bind(Z,$fot(product(product(bigC(a,a,b),bigC(a,a,b)),c)))]]) ).

cnf(refute_0_14833,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b))) != product(product(bigC(a,a,b),bigC(a,a,b)),c)
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(a,a,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b)))) )],[refute_0_14831,refute_0_14832]) ).

cnf(refute_0_14834,plain,
    bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(product(bigC(a,a,b),bigC(a,a,b)),c),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(c,product(c,b))),product(product(bigC(a,a,b),bigC(a,a,b)),c)) )],[refute_0_14830,refute_0_14833]) ).

cnf(refute_0_14835,plain,
    ( bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(product(bigC(a,a,b),bigC(a,a,b)),c)
    | product(product(bigC(a,a,b),bigC(a,a,b)),c) != product(bigC(a,a,b),c)
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)))),bind(Y,$fot(product(product(bigC(a,a,b),bigC(a,a,b)),c))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_14836,plain,
    ( product(product(bigC(a,a,b),bigC(a,a,b)),c) != product(bigC(a,a,b),c)
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),product(product(bigC(a,a,b),bigC(a,a,b)),c)) )],[refute_0_14834,refute_0_14835]) ).

cnf(refute_0_14837,plain,
    bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),bigC(a,a,b)),c),product(bigC(a,a,b),c)) )],[refute_0_14825,refute_0_14836]) ).

cnf(refute_0_14838,plain,
    ( bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(bigC(a,a,b),c)
    | bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(product(a,product(b,c)),bigC(a,a,b))
    | product(bigC(a,a,b),c) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),product(product(a,product(b,c)),bigC(a,a,b))) ),[0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_14839,plain,
    ( bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(product(a,product(b,c)),bigC(a,a,b))
    | product(bigC(a,a,b),c) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),product(bigC(a,a,b),c)) )],[refute_0_14837,refute_0_14838]) ).

cnf(refute_0_14840,plain,
    product(product(product(a,c),c),bigC(a,a,b)) = product(product(product(a,c),c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),bigC(a,a,b)))]]) ).

cnf(refute_0_14841,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),bigC(a,a,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | product(product(product(a,c),c),bigC(a,a,b)) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),bigC(a,a,b)),product(product(product(a,c),c),bigC(a,a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14842,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),bigC(a,a,b)) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,a,b)),product(product(product(a,c),c),bigC(a,a,b))) )],[refute_0_14840,refute_0_14841]) ).

cnf(refute_0_14843,plain,
    product(product(product(a,c),c),bigC(a,a,b)) = product(product(a,product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_14842]) ).

cnf(refute_0_14844,plain,
    ( bigC(a,c,product(c,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | product(product(product(a,c),c),bigC(a,a,b)) != product(product(a,product(b,c)),bigC(a,a,b))
    | bigC(a,c,product(c,b)) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,product(c,b)),product(product(a,product(b,c)),bigC(a,a,b))) ),[0],$fot(product(product(product(a,c),c),bigC(a,a,b)))]]) ).

cnf(refute_0_14845,plain,
    ( bigC(a,c,product(c,b)) != product(product(product(a,c),c),bigC(a,a,b))
    | bigC(a,c,product(c,b)) = product(product(a,product(b,c)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,a,b)),product(product(a,product(b,c)),bigC(a,a,b))) )],[refute_0_14843,refute_0_14844]) ).

cnf(refute_0_14846,plain,
    bigC(a,c,product(c,b)) = product(product(a,product(b,c)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(product(product(a,c),c),bigC(a,a,b))) )],[refute_0_14657,refute_0_14845]) ).

cnf(refute_0_14847,plain,
    bigC(a,product(b,c),product(a,b)) = bigC(a,product(a,b),product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(product(a,b))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_14848,plain,
    product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,product(b,c),product(a,b)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(a)),bind(X_22,$fot(product(b,c))),bind(X_86,$fot(b))]]) ).

cnf(refute_0_14849,plain,
    ( bigC(a,product(b,c),product(a,b)) != bigC(a,product(a,b),product(b,c))
    | product(product(a,product(b,c)),bigC(a,a,b)) != bigC(a,product(b,c),product(a,b))
    | product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,product(a,b),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),bigC(a,a,b)))),bind(Y,$fot(bigC(a,product(b,c),product(a,b)))),bind(Z,$fot(bigC(a,product(a,b),product(b,c))))]]) ).

cnf(refute_0_14850,plain,
    ( bigC(a,product(b,c),product(a,b)) != bigC(a,product(a,b),product(b,c))
    | product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,b)),bigC(a,product(b,c),product(a,b))) )],[refute_0_14848,refute_0_14849]) ).

cnf(refute_0_14851,plain,
    product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,b)),bigC(a,product(a,b),product(b,c))) )],[refute_0_14847,refute_0_14850]) ).

cnf(refute_0_14852,plain,
    ( bigC(a,c,product(c,b)) != product(product(a,product(b,c)),bigC(a,a,b))
    | product(product(a,product(b,c)),bigC(a,a,b)) != bigC(a,product(a,b),product(b,c))
    | bigC(a,c,product(c,b)) = bigC(a,product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,c,product(c,b)),bigC(a,product(a,b),product(b,c))) ),[0],$fot(product(product(a,product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_14853,plain,
    ( bigC(a,c,product(c,b)) != product(product(a,product(b,c)),bigC(a,a,b))
    | bigC(a,c,product(c,b)) = bigC(a,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,b)),bigC(a,product(a,b),product(b,c))) )],[refute_0_14851,refute_0_14852]) ).

cnf(refute_0_14854,plain,
    bigC(a,c,product(c,b)) = bigC(a,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(product(a,product(b,c)),bigC(a,a,b))) )],[refute_0_14846,refute_0_14853]) ).

cnf(refute_0_14855,plain,
    ( bigC(a,c,product(c,b)) != bigC(a,product(a,b),product(b,c))
    | bigC(a,product(a,b),product(b,c)) = bigC(a,c,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,c,product(c,b)))),bind(Y,$fot(bigC(a,product(a,b),product(b,c))))]]) ).

cnf(refute_0_14856,plain,
    bigC(a,product(a,b),product(b,c)) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),bigC(a,product(a,b),product(b,c))) )],[refute_0_14854,refute_0_14855]) ).

cnf(refute_0_14857,plain,
    ( bigC(a,product(a,b),product(b,c)) != bigC(a,c,product(c,b))
    | bigC(a,product(b,c),product(a,b)) != bigC(a,product(a,b),product(b,c))
    | bigC(a,product(b,c),product(a,b)) = bigC(a,c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,product(b,c),product(a,b)))),bind(Y,$fot(bigC(a,product(a,b),product(b,c)))),bind(Z,$fot(bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_14858,plain,
    ( bigC(a,product(a,b),product(b,c)) != bigC(a,c,product(c,b))
    | bigC(a,product(b,c),product(a,b)) = bigC(a,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,b)),bigC(a,product(a,b),product(b,c))) )],[refute_0_14847,refute_0_14857]) ).

cnf(refute_0_14859,plain,
    bigC(a,product(b,c),product(a,b)) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(a,b),product(b,c)),bigC(a,c,product(c,b))) )],[refute_0_14856,refute_0_14858]) ).

cnf(refute_0_14860,plain,
    ( bigC(a,product(b,c),product(a,b)) != bigC(a,c,product(c,b))
    | product(product(a,product(b,c)),bigC(a,a,b)) != bigC(a,product(b,c),product(a,b))
    | product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),bigC(a,a,b)))),bind(Y,$fot(bigC(a,product(b,c),product(a,b)))),bind(Z,$fot(bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_14861,plain,
    ( bigC(a,product(b,c),product(a,b)) != bigC(a,c,product(c,b))
    | product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,b)),bigC(a,product(b,c),product(a,b))) )],[refute_0_14848,refute_0_14860]) ).

cnf(refute_0_14862,plain,
    product(product(a,product(b,c)),bigC(a,a,b)) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),product(a,b)),bigC(a,c,product(c,b))) )],[refute_0_14859,refute_0_14861]) ).

cnf(refute_0_14863,plain,
    ( product(bigC(a,a,b),c) != product(product(a,product(b,c)),bigC(a,a,b))
    | product(product(a,product(b,c)),bigC(a,a,b)) != bigC(a,c,product(c,b))
    | product(bigC(a,a,b),c) = bigC(a,c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),c),bigC(a,c,product(c,b))) ),[0],$fot(product(product(a,product(b,c)),bigC(a,a,b)))]]) ).

cnf(refute_0_14864,plain,
    ( product(bigC(a,a,b),c) != product(product(a,product(b,c)),bigC(a,a,b))
    | product(bigC(a,a,b),c) = bigC(a,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,a,b)),bigC(a,c,product(c,b))) )],[refute_0_14862,refute_0_14863]) ).

cnf(refute_0_14865,plain,
    ( bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)) != product(product(a,product(b,c)),bigC(a,a,b))
    | product(bigC(a,a,b),c) = bigC(a,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),product(product(a,product(b,c)),bigC(a,a,b))) )],[refute_0_14839,refute_0_14864]) ).

cnf(refute_0_14866,plain,
    product(bigC(a,a,b),c) = bigC(a,c,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(c,product(c,b)),bigC(a,a,b)),product(product(a,product(b,c)),bigC(a,a,b))) )],[refute_0_14821,refute_0_14865]) ).

cnf(refute_0_14867,plain,
    ( product(bigC(a,a,b),c) != bigC(a,c,product(c,b))
    | bigC(a,c,product(c,b)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,b),c))),bind(Y,$fot(bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_14868,plain,
    bigC(a,c,product(c,b)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),c),bigC(a,c,product(c,b))) )],[refute_0_14866,refute_0_14867]) ).

cnf(refute_0_14869,plain,
    product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_14870,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) ),[1,1],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_14871,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) )],[refute_0_14869,refute_0_14870]) ).

cnf(refute_0_14872,plain,
    product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(bigC(a,a,b),c)) )],[refute_0_14868,refute_0_14871]) ).

cnf(refute_0_14873,plain,
    ( product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) != product(product(bigC(a,a,b),B),product(bigC(a,a,b),c))
    | product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) != bigC(c,product(a,c),B)
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = bigC(c,product(a,c),B) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))))),bind(Y,$fot(product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)))),bind(Z,$fot(bigC(c,product(a,c),B)))]]) ).

cnf(refute_0_14874,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)) != bigC(c,product(a,c),B)
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = bigC(c,product(a,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),product(product(bigC(a,a,b),B),product(bigC(a,a,b),c))) )],[refute_0_14872,refute_0_14873]) ).

cnf(refute_0_14875,plain,
    product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) = bigC(c,product(a,c),B),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(a,a,b),c)),bigC(c,product(a,c),B)) )],[refute_0_14817,refute_0_14874]) ).

cnf(refute_0_14876,plain,
    ( bigC(product(a,c),B,c) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))) != bigC(c,product(a,c),B)
    | bigC(product(a,c),B,c) = bigC(c,product(a,c),B) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),B,c),bigC(c,product(a,c),B)) ),[0],$fot(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_14877,plain,
    ( bigC(product(a,c),B,c) != product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))
    | bigC(product(a,c),B,c) = bigC(c,product(a,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),bigC(a,c,product(c,b))),bigC(c,product(a,c),B)) )],[refute_0_14875,refute_0_14876]) ).

cnf(refute_0_14878,plain,
    bigC(product(a,c),B,c) = bigC(c,product(a,c),B),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),B,c),product(product(bigC(a,a,b),B),bigC(a,c,product(c,b)))) )],[refute_0_14813,refute_0_14877]) ).

cnf(refute_0_14879,plain,
    bigC(product(a,c),b,c) = bigC(c,product(a,c),b),
    inference(subst,[],[refute_0_14878:[bind(B,$fot(b))]]) ).

cnf(refute_0_14880,plain,
    ( bigC(c,product(a,c),b) != bigC(c,b,product(a,c))
    | bigC(product(a,c),b,c) != bigC(c,product(a,c),b)
    | bigC(product(a,c),b,c) = bigC(c,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),b,c))),bind(Y,$fot(bigC(c,product(a,c),b))),bind(Z,$fot(bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_14881,plain,
    ( bigC(c,product(a,c),b) != bigC(c,b,product(a,c))
    | bigC(product(a,c),b,c) = bigC(c,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,c),bigC(c,product(a,c),b)) )],[refute_0_14879,refute_0_14880]) ).

cnf(refute_0_14882,plain,
    bigC(product(a,c),b,c) = bigC(c,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),b),bigC(c,b,product(a,c))) )],[refute_0_14477,refute_0_14881]) ).

cnf(refute_0_14883,plain,
    ( bigC(a,b,product(c,b)) != bigC(product(a,c),b,c)
    | bigC(product(a,c),b,c) != bigC(c,b,product(a,c))
    | bigC(a,b,product(c,b)) = bigC(c,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(c,b)),bigC(c,b,product(a,c))) ),[0],$fot(bigC(product(a,c),b,c))]]) ).

cnf(refute_0_14884,plain,
    ( bigC(a,b,product(c,b)) != bigC(product(a,c),b,c)
    | bigC(a,b,product(c,b)) = bigC(c,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,c),bigC(c,b,product(a,c))) )],[refute_0_14882,refute_0_14883]) ).

cnf(refute_0_14885,plain,
    bigC(a,b,product(c,b)) = bigC(c,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),bigC(product(a,c),b,c)) )],[refute_0_14591,refute_0_14884]) ).

cnf(refute_0_14886,plain,
    ( bigC(a,b,product(c,b)) != bigC(c,b,product(a,c))
    | bigC(c,b,product(a,c)) = bigC(a,b,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(c,b)))),bind(Y,$fot(bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_14887,plain,
    bigC(c,b,product(a,c)) = bigC(a,b,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),bigC(c,b,product(a,c))) )],[refute_0_14885,refute_0_14886]) ).

cnf(refute_0_14888,plain,
    product(bigC(a,a,b),bigC(c,b,product(a,c))) = product(bigC(a,a,b),bigC(c,b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_14889,plain,
    ( bigC(c,b,product(a,c)) != bigC(a,b,product(c,b))
    | product(bigC(a,a,b),bigC(c,b,product(a,c))) != product(bigC(a,a,b),bigC(c,b,product(a,c)))
    | product(bigC(a,a,b),bigC(c,b,product(a,c))) = product(bigC(a,a,b),bigC(a,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,product(a,c))),product(bigC(a,a,b),bigC(c,b,product(a,c)))) ),[1,1],$fot(bigC(a,b,product(c,b)))]]) ).

cnf(refute_0_14890,plain,
    ( bigC(c,b,product(a,c)) != bigC(a,b,product(c,b))
    | product(bigC(a,a,b),bigC(c,b,product(a,c))) = product(bigC(a,a,b),bigC(a,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,product(a,c))),product(bigC(a,a,b),bigC(c,b,product(a,c)))) )],[refute_0_14888,refute_0_14889]) ).

cnf(refute_0_14891,plain,
    product(bigC(a,a,b),bigC(c,b,product(a,c))) = product(bigC(a,a,b),bigC(a,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,c)),bigC(a,b,product(c,b))) )],[refute_0_14887,refute_0_14890]) ).

cnf(refute_0_14892,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),bigC(c,b,product(a,c)))
    | product(bigC(a,a,b),bigC(c,b,product(a,c))) != product(bigC(a,a,b),bigC(a,b,product(c,b)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),bigC(a,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),bigC(a,b,product(c,b)))) ),[0],$fot(product(bigC(a,a,b),bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_14893,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),bigC(c,b,product(a,c)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),bigC(a,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,product(a,c))),product(bigC(a,a,b),bigC(a,b,product(c,b)))) )],[refute_0_14891,refute_0_14892]) ).

cnf(refute_0_14894,plain,
    bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),bigC(a,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),bigC(c,b,product(a,c)))) )],[refute_0_14488,refute_0_14893]) ).

cnf(refute_0_14895,plain,
    bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) = product(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(a,b,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_14896,plain,
    ( bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) != product(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(a,b,b))
    | product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != c
    | bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)),product(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(a,b,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_14897,plain,
    ( bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) != product(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(a,b,b))
    | bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),c) )],[refute_0_12576,refute_0_14896]) ).

cnf(refute_0_14898,plain,
    bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)),product(product(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(a,b,b))) )],[refute_0_14895,refute_0_14897]) ).

cnf(refute_0_14899,plain,
    bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) = bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(bigC(a,b,b))),bind(C,$fot(product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_14900,plain,
    ( bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) != bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))
    | bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) != product(c,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)),product(c,bigC(a,b,b))) ),[0],$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_14901,plain,
    ( bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)) != product(c,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)),bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) )],[refute_0_14899,refute_0_14900]) ).

cnf(refute_0_14902,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),product(difference(product(c,b),product(b,a)),b),bigC(a,b,b)),product(c,bigC(a,b,b))) )],[refute_0_14898,refute_0_14901]) ).

cnf(refute_0_14903,plain,
    bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = product(bigC(c,b,c),product(product(a,product(b,c)),bigC(c,b,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(c,b,c))),bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_14904,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != product(bigC(c,b,c),product(product(a,product(b,c)),bigC(c,b,c)))
    | product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = product(bigC(c,b,c),product(product(a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),product(bigC(c,b,c),product(product(a,product(b,c)),bigC(c,b,c)))) ),[1,1],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_14905,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != product(bigC(c,b,c),product(product(a,product(b,c)),bigC(c,b,c)))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = product(bigC(c,b,c),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,b),c)) )],[refute_0_10997,refute_0_14904]) ).

cnf(refute_0_14906,plain,
    bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = product(bigC(c,b,c),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),product(bigC(c,b,c),product(product(a,product(b,c)),bigC(c,b,c)))) )],[refute_0_14903,refute_0_14905]) ).

cnf(refute_0_14907,plain,
    bigC(c,product(b,c),product(a,b)) = bigC(c,product(a,b),product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_14908,plain,
    product(bigC(c,b,c),product(product(a,b),c)) = bigC(c,product(b,c),product(a,b)),
    inference(subst,[],[refute_0_10322:[bind(X_21,$fot(c)),bind(X_23,$fot(product(a,b))),bind(X_75,$fot(b))]]) ).

cnf(refute_0_14909,plain,
    ( bigC(c,product(b,c),product(a,b)) != bigC(c,product(a,b),product(b,c))
    | product(bigC(c,b,c),product(product(a,b),c)) != bigC(c,product(b,c),product(a,b))
    | product(bigC(c,b,c),product(product(a,b),c)) = bigC(c,product(a,b),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(product(a,b),c)))),bind(Y,$fot(bigC(c,product(b,c),product(a,b)))),bind(Z,$fot(bigC(c,product(a,b),product(b,c))))]]) ).

cnf(refute_0_14910,plain,
    ( bigC(c,product(b,c),product(a,b)) != bigC(c,product(a,b),product(b,c))
    | product(bigC(c,b,c),product(product(a,b),c)) = bigC(c,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(product(a,b),c)),bigC(c,product(b,c),product(a,b))) )],[refute_0_14908,refute_0_14909]) ).

cnf(refute_0_14911,plain,
    product(bigC(c,b,c),product(product(a,b),c)) = bigC(c,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),product(a,b)),bigC(c,product(a,b),product(b,c))) )],[refute_0_14907,refute_0_14910]) ).

cnf(refute_0_14912,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != product(bigC(c,b,c),product(product(a,b),c))
    | product(bigC(c,b,c),product(product(a,b),c)) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(c,product(a,b),product(b,c))) ),[0],$fot(product(bigC(c,b,c),product(product(a,b),c)))]]) ).

cnf(refute_0_14913,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != product(bigC(c,b,c),product(product(a,b),c))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(product(a,b),c)),bigC(c,product(a,b),product(b,c))) )],[refute_0_14911,refute_0_14912]) ).

cnf(refute_0_14914,plain,
    bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),product(bigC(c,b,c),product(product(a,b),c))) )],[refute_0_14906,refute_0_14913]) ).

cnf(refute_0_14915,plain,
    bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))))]]) ).

cnf(refute_0_14916,plain,
    ( bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) != bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c)))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c)))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14917,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c)))) )],[refute_0_14915,refute_0_14916]) ).

cnf(refute_0_14918,plain,
    bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_14917]) ).

cnf(refute_0_14919,plain,
    bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))))]]) ).

cnf(refute_0_14920,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c)))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_14921,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c)))) )],[refute_0_14919,refute_0_14920]) ).

cnf(refute_0_14922,plain,
    bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_14921]) ).

cnf(refute_0_14923,plain,
    ( bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) != bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c)))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))))),bind(Y,$fot(bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))))),bind(Z,$fot(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_14924,plain,
    ( bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))) != bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c)))) )],[refute_0_14922,refute_0_14923]) ).

cnf(refute_0_14925,plain,
    bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_14918,refute_0_14924]) ).

cnf(refute_0_14926,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(c,product(a,b),product(b,c))) ),[0],$fot(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_14927,plain,
    ( bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_14925,refute_0_14926]) ).

cnf(refute_0_14928,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,b,c),bigC(c,b,c),product(a,product(b,c))),bigC(c,product(a,b),product(b,c))) )],[refute_0_14914,refute_0_14927]) ).

cnf(refute_0_14929,plain,
    bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_14930,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) != bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c)))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_14931,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_14929,refute_0_14930]) ).

cnf(refute_0_14932,plain,
    bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_14931]) ).

cnf(refute_0_14933,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_14934,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_14935,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_14933,refute_0_14934]) ).

cnf(refute_0_14936,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_14935]) ).

cnf(refute_0_14937,plain,
    ( bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) != bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))))),bind(Y,$fot(bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))))),bind(Z,$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_14938,plain,
    ( bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))) != bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c)))) )],[refute_0_14936,refute_0_14937]) ).

cnf(refute_0_14939,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))) )],[refute_0_14932,refute_0_14938]) ).

cnf(refute_0_14940,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(c,product(a,b),product(b,c))) ),[0],$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))))]]) ).

cnf(refute_0_14941,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))) )],[refute_0_14939,refute_0_14940]) ).

cnf(refute_0_14942,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) = bigC(c,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),product(a,product(b,c))),bigC(c,product(a,b),product(b,c))) )],[refute_0_14928,refute_0_14941]) ).

cnf(refute_0_14943,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)))]]) ).

cnf(refute_0_14944,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))
    | product(difference(product(c,b),product(b,a)),b) != product(a,product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) ),[1,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_14945,plain,
    ( product(difference(product(c,b),product(b,a)),b) != product(a,product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b))) )],[refute_0_14943,refute_0_14944]) ).

cnf(refute_0_14946,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),b),product(a,product(b,c))) )],[refute_0_12591,refute_0_14945]) ).

cnf(refute_0_14947,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(c,product(a,b),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)))),bind(Y,$fot(bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))))),bind(Z,$fot(bigC(c,product(a,b),product(b,c))))]]) ).

cnf(refute_0_14948,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(c,product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c)))) )],[refute_0_14946,refute_0_14947]) ).

cnf(refute_0_14949,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) = bigC(c,product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(a,product(b,c))),bigC(c,product(a,b),product(b,c))) )],[refute_0_14942,refute_0_14948]) ).

cnf(refute_0_14950,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != bigC(c,product(a,b),product(b,c))
    | bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != product(c,bigC(a,b,b))
    | bigC(c,product(a,b),product(b,c)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),product(c,bigC(a,b,b))) ),[0],$fot(bigC(c,product(a,b),product(b,c)))]]) ).

cnf(refute_0_14951,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)) != product(c,bigC(a,b,b))
    | bigC(c,product(a,b),product(b,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),bigC(c,product(a,b),product(b,c))) )],[refute_0_14949,refute_0_14950]) ).

cnf(refute_0_14952,plain,
    bigC(c,product(a,b),product(b,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),product(difference(product(c,b),product(b,a)),b)),product(c,bigC(a,b,b))) )],[refute_0_14902,refute_0_14951]) ).

cnf(refute_0_14953,plain,
    bigC(b,product(c,b),a) = bigC(b,a,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_14954,plain,
    product(bigC(b,b,c),product(a,b)) = bigC(b,product(c,b),a),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(c)),bind(X_44,$fot(b)),bind(X_45,$fot(a))]]) ).

cnf(refute_0_14955,plain,
    ( bigC(b,product(c,b),a) != bigC(b,a,product(c,b))
    | product(bigC(b,b,c),product(a,b)) != bigC(b,product(c,b),a)
    | product(bigC(b,b,c),product(a,b)) = bigC(b,a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(a,b)))),bind(Y,$fot(bigC(b,product(c,b),a))),bind(Z,$fot(bigC(b,a,product(c,b))))]]) ).

cnf(refute_0_14956,plain,
    ( bigC(b,product(c,b),a) != bigC(b,a,product(c,b))
    | product(bigC(b,b,c),product(a,b)) = bigC(b,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(a,b)),bigC(b,product(c,b),a)) )],[refute_0_14954,refute_0_14955]) ).

cnf(refute_0_14957,plain,
    product(bigC(b,b,c),product(a,b)) = bigC(b,a,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),a),bigC(b,a,product(c,b))) )],[refute_0_14953,refute_0_14956]) ).

cnf(refute_0_14958,plain,
    product(bigC(c,b,b),product(a,b)) = product(bigC(c,b,b),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,b),product(a,b)))]]) ).

cnf(refute_0_14959,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),product(a,b)) != product(bigC(c,b,b),product(a,b))
    | product(bigC(c,b,b),product(a,b)) = product(bigC(b,b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,b),product(a,b)),product(bigC(c,b,b),product(a,b))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_14960,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(bigC(c,b,b),product(a,b)) = product(bigC(b,b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(a,b)),product(bigC(c,b,b),product(a,b))) )],[refute_0_14958,refute_0_14959]) ).

cnf(refute_0_14961,plain,
    product(bigC(c,b,b),product(a,b)) = product(bigC(b,b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_14960]) ).

cnf(refute_0_14962,plain,
    ( product(bigC(b,b,c),product(a,b)) != bigC(b,a,product(c,b))
    | product(bigC(c,b,b),product(a,b)) != product(bigC(b,b,c),product(a,b))
    | product(bigC(c,b,b),product(a,b)) = bigC(b,a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,b),product(a,b)))),bind(Y,$fot(product(bigC(b,b,c),product(a,b)))),bind(Z,$fot(bigC(b,a,product(c,b))))]]) ).

cnf(refute_0_14963,plain,
    ( product(bigC(b,b,c),product(a,b)) != bigC(b,a,product(c,b))
    | product(bigC(c,b,b),product(a,b)) = bigC(b,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(a,b)),product(bigC(b,b,c),product(a,b))) )],[refute_0_14961,refute_0_14962]) ).

cnf(refute_0_14964,plain,
    product(bigC(c,b,b),product(a,b)) = bigC(b,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(a,b)),bigC(b,a,product(c,b))) )],[refute_0_14957,refute_0_14963]) ).

cnf(refute_0_14965,plain,
    bigC(product(c,b),product(C,c),product(a,c)) = product(product(product(c,b),product(C,c)),product(a,b)),
    inference(subst,[],[refute_0_7767:[bind(X_22,$fot(product(C,c)))]]) ).

cnf(refute_0_14966,plain,
    bigC(c,b,C) = product(product(c,b),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(b))]]) ).

cnf(refute_0_14967,plain,
    ( bigC(c,b,C) != product(product(c,b),product(C,c))
    | product(product(c,b),product(C,c)) = bigC(c,b,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,C))),bind(Y,$fot(product(product(c,b),product(C,c))))]]) ).

cnf(refute_0_14968,plain,
    product(product(c,b),product(C,c)) = bigC(c,b,C),
    inference(resolve,[$cnf( $equal(bigC(c,b,C),product(product(c,b),product(C,c))) )],[refute_0_14966,refute_0_14967]) ).

cnf(refute_0_14969,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != product(product(product(c,b),product(C,c)),product(a,b))
    | product(product(c,b),product(C,c)) != bigC(c,b,C)
    | bigC(product(c,b),product(C,c),product(a,c)) = product(bigC(c,b,C),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),product(product(product(c,b),product(C,c)),product(a,b))) ),[1,0],$fot(bigC(c,b,C))]]) ).

cnf(refute_0_14970,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != product(product(product(c,b),product(C,c)),product(a,b))
    | bigC(product(c,b),product(C,c),product(a,c)) = product(bigC(c,b,C),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(C,c)),bigC(c,b,C)) )],[refute_0_14968,refute_0_14969]) ).

cnf(refute_0_14971,plain,
    bigC(product(c,b),product(C,c),product(a,c)) = product(bigC(c,b,C),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),product(product(product(c,b),product(C,c)),product(a,b))) )],[refute_0_14965,refute_0_14970]) ).

cnf(refute_0_14972,plain,
    bigC(product(c,b),product(C,c),product(a,c)) = bigC(c,product(a,b),product(C,c)),
    inference(subst,[],[refute_0_9117:[bind(C,$fot(product(C,c)))]]) ).

cnf(refute_0_14973,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != bigC(c,product(a,b),product(C,c))
    | bigC(product(c,b),product(C,c),product(a,c)) != product(bigC(c,b,C),product(a,b))
    | bigC(c,product(a,b),product(C,c)) = product(bigC(c,b,C),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),product(bigC(c,b,C),product(a,b))) ),[0],$fot(bigC(c,product(a,b),product(C,c)))]]) ).

cnf(refute_0_14974,plain,
    ( bigC(product(c,b),product(C,c),product(a,c)) != product(bigC(c,b,C),product(a,b))
    | bigC(c,product(a,b),product(C,c)) = product(bigC(c,b,C),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),bigC(c,product(a,b),product(C,c))) )],[refute_0_14972,refute_0_14973]) ).

cnf(refute_0_14975,plain,
    bigC(c,product(a,b),product(C,c)) = product(bigC(c,b,C),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(C,c),product(a,c)),product(bigC(c,b,C),product(a,b))) )],[refute_0_14971,refute_0_14974]) ).

cnf(refute_0_14976,plain,
    bigC(c,product(a,b),product(b,c)) = product(bigC(c,b,b),product(a,b)),
    inference(subst,[],[refute_0_14975:[bind(C,$fot(b))]]) ).

cnf(refute_0_14977,plain,
    ( bigC(c,product(a,b),product(b,c)) != product(bigC(c,b,b),product(a,b))
    | product(bigC(c,b,b),product(a,b)) != bigC(b,a,product(c,b))
    | bigC(c,product(a,b),product(b,c)) = bigC(b,a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,b),product(b,c)))),bind(Y,$fot(product(bigC(c,b,b),product(a,b)))),bind(Z,$fot(bigC(b,a,product(c,b))))]]) ).

cnf(refute_0_14978,plain,
    ( product(bigC(c,b,b),product(a,b)) != bigC(b,a,product(c,b))
    | bigC(c,product(a,b),product(b,c)) = bigC(b,a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(b,c)),product(bigC(c,b,b),product(a,b))) )],[refute_0_14976,refute_0_14977]) ).

cnf(refute_0_14979,plain,
    bigC(c,product(a,b),product(b,c)) = bigC(b,a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(a,b)),bigC(b,a,product(c,b))) )],[refute_0_14964,refute_0_14978]) ).

cnf(refute_0_14980,plain,
    ( bigC(c,product(a,b),product(b,c)) != bigC(b,a,product(c,b))
    | bigC(c,product(a,b),product(b,c)) != product(c,bigC(a,b,b))
    | bigC(b,a,product(c,b)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),product(b,c)),product(c,bigC(a,b,b))) ),[0],$fot(bigC(b,a,product(c,b)))]]) ).

cnf(refute_0_14981,plain,
    ( bigC(c,product(a,b),product(b,c)) != product(c,bigC(a,b,b))
    | bigC(b,a,product(c,b)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(b,c)),bigC(b,a,product(c,b))) )],[refute_0_14979,refute_0_14980]) ).

cnf(refute_0_14982,plain,
    bigC(b,a,product(c,b)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(b,c)),product(c,bigC(a,b,b))) )],[refute_0_14952,refute_0_14981]) ).

cnf(refute_0_14983,plain,
    bigC(a,product(c,b),b) = bigC(a,b,product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_14984,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),product(a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(a,a,b))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_14985,plain,
    quotient(quotient(product(a,b),product(product(a,b),b)),product(a,b)) = difference(product(a,b),product(b,product(a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,b))),bind(X_29,$fot(b))]]) ).

cnf(refute_0_14986,plain,
    quotient(product(bigC(a,a,b),product(product(a,b),b)),product(product(a,b),b)) = bigC(a,a,b),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_14987,plain,
    product(quotient(product(a,b),product(product(a,c),b)),product(product(a,c),b)) = product(a,b),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,b))),bind(B,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_14988,plain,
    product(bigC(b,a,c),product(a,b)) = product(bigC(b,a,c),product(a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,c),product(a,b)))]]) ).

cnf(refute_0_14989,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(a,b)) != product(bigC(b,a,c),product(a,b))
    | product(bigC(b,a,c),product(a,b)) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,c),product(a,b)),product(bigC(b,a,c),product(a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_14990,plain,
    ( bigC(b,a,c) != c
    | product(bigC(b,a,c),product(a,b)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(a,b)),product(bigC(b,a,c),product(a,b))) )],[refute_0_14988,refute_0_14989]) ).

cnf(refute_0_14991,plain,
    product(bigC(b,a,c),product(a,b)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_14990]) ).

cnf(refute_0_14992,plain,
    ( product(bigC(b,a,c),product(a,b)) != product(c,product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,c),product(a,b))) ),[1],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_14993,plain,
    ( quotient(product(a,b),product(product(a,c),b)) != product(bigC(b,a,c),product(a,b))
    | quotient(product(a,b),product(product(a,c),b)) = product(c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,c),product(a,b)),product(c,product(a,b))) )],[refute_0_14991,refute_0_14992]) ).

cnf(refute_0_14994,plain,
    quotient(product(a,b),product(product(a,c),b)) = product(c,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(bigC(b,a,c),product(a,b))) )],[refute_0_5769,refute_0_14993]) ).

cnf(refute_0_14995,plain,
    ( product(quotient(product(a,b),product(product(a,c),b)),product(product(a,c),b)) != product(a,b)
    | quotient(product(a,b),product(product(a,c),b)) != product(c,product(a,b))
    | product(product(c,product(a,b)),product(product(a,c),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(product(a,c),b)),product(a,b)) ),[0,0],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_14996,plain,
    ( product(quotient(product(a,b),product(product(a,c),b)),product(product(a,c),b)) != product(a,b)
    | product(product(c,product(a,b)),product(product(a,c),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(c,product(a,b))) )],[refute_0_14994,refute_0_14995]) ).

cnf(refute_0_14997,plain,
    product(product(c,product(a,b)),product(product(a,c),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(product(a,c),b)),product(product(a,c),b)),product(a,b)) )],[refute_0_14987,refute_0_14996]) ).

cnf(refute_0_14998,plain,
    product(bigC(c,c,a),product(product(a,b),b)) = product(bigC(c,c,a),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,a),product(product(a,b),b)))]]) ).

cnf(refute_0_14999,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(product(a,b),b)) != product(bigC(c,c,a),product(product(a,b),b))
    | product(bigC(c,c,a),product(product(a,b),b)) = product(bigC(a,a,b),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,a),product(product(a,b),b)),product(bigC(c,c,a),product(product(a,b),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_15000,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(product(a,b),b)) = product(bigC(a,a,b),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(product(a,b),b)),product(bigC(c,c,a),product(product(a,b),b))) )],[refute_0_14998,refute_0_14999]) ).

cnf(refute_0_15001,plain,
    product(bigC(c,c,a),product(product(a,b),b)) = product(bigC(a,a,b),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_15000]) ).

cnf(refute_0_15002,plain,
    product(product(c,product(a,b)),product(product(a,c),b)) = product(bigC(c,c,a),product(product(a,b),b)),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(c)),bind(B,$fot(product(a,b))),bind(D,$fot(b)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_15003,plain,
    ( product(bigC(c,c,a),product(product(a,b),b)) != product(bigC(a,a,b),product(product(a,b),b))
    | product(product(c,product(a,b)),product(product(a,c),b)) != product(bigC(c,c,a),product(product(a,b),b))
    | product(product(c,product(a,b)),product(product(a,c),b)) = product(bigC(a,a,b),product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(a,b)),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,c,a),product(product(a,b),b)))),bind(Z,$fot(product(bigC(a,a,b),product(product(a,b),b))))]]) ).

cnf(refute_0_15004,plain,
    ( product(bigC(c,c,a),product(product(a,b),b)) != product(bigC(a,a,b),product(product(a,b),b))
    | product(product(c,product(a,b)),product(product(a,c),b)) = product(bigC(a,a,b),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,c),b)),product(bigC(c,c,a),product(product(a,b),b))) )],[refute_0_15002,refute_0_15003]) ).

cnf(refute_0_15005,plain,
    product(product(c,product(a,b)),product(product(a,c),b)) = product(bigC(a,a,b),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(product(a,b),b)),product(bigC(a,a,b),product(product(a,b),b))) )],[refute_0_15001,refute_0_15004]) ).

cnf(refute_0_15006,plain,
    ( product(product(c,product(a,b)),product(product(a,c),b)) != product(a,b)
    | product(product(c,product(a,b)),product(product(a,c),b)) != product(bigC(a,a,b),product(product(a,b),b))
    | product(bigC(a,a,b),product(product(a,b),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,c),b)),product(a,b)) ),[0],$fot(product(bigC(a,a,b),product(product(a,b),b)))]]) ).

cnf(refute_0_15007,plain,
    ( product(product(c,product(a,b)),product(product(a,c),b)) != product(a,b)
    | product(bigC(a,a,b),product(product(a,b),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,c),b)),product(bigC(a,a,b),product(product(a,b),b))) )],[refute_0_15005,refute_0_15006]) ).

cnf(refute_0_15008,plain,
    product(bigC(a,a,b),product(product(a,b),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),product(product(a,c),b)),product(a,b)) )],[refute_0_14997,refute_0_15007]) ).

cnf(refute_0_15009,plain,
    ( product(bigC(a,a,b),product(product(a,b),b)) != product(a,b)
    | quotient(product(bigC(a,a,b),product(product(a,b),b)),product(product(a,b),b)) != bigC(a,a,b)
    | quotient(product(a,b),product(product(a,b),b)) = bigC(a,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,b),product(product(a,b),b)),product(product(a,b),b)),bigC(a,a,b)) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_15010,plain,
    ( quotient(product(bigC(a,a,b),product(product(a,b),b)),product(product(a,b),b)) != bigC(a,a,b)
    | quotient(product(a,b),product(product(a,b),b)) = bigC(a,a,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(a,b),b)),product(a,b)) )],[refute_0_15008,refute_0_15009]) ).

cnf(refute_0_15011,plain,
    quotient(product(a,b),product(product(a,b),b)) = bigC(a,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),product(product(a,b),b)),product(product(a,b),b)),bigC(a,a,b)) )],[refute_0_14986,refute_0_15010]) ).

cnf(refute_0_15012,plain,
    ( quotient(product(a,b),product(product(a,b),b)) != bigC(a,a,b)
    | quotient(quotient(product(a,b),product(product(a,b),b)),product(a,b)) != difference(product(a,b),product(b,product(a,b)))
    | quotient(bigC(a,a,b),product(a,b)) = difference(product(a,b),product(b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),product(product(a,b),b)),product(a,b)),difference(product(a,b),product(b,product(a,b)))) ),[0,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_15013,plain,
    ( quotient(quotient(product(a,b),product(product(a,b),b)),product(a,b)) != difference(product(a,b),product(b,product(a,b)))
    | quotient(bigC(a,a,b),product(a,b)) = difference(product(a,b),product(b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,b),b)),bigC(a,a,b)) )],[refute_0_15011,refute_0_15012]) ).

cnf(refute_0_15014,plain,
    quotient(bigC(a,a,b),product(a,b)) = difference(product(a,b),product(b,product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(product(a,b),b)),product(a,b)),difference(product(a,b),product(b,product(a,b)))) )],[refute_0_14985,refute_0_15013]) ).

cnf(refute_0_15015,plain,
    difference(product(a,b),bigC(a,b,b)) = product(b,a),
    inference(subst,[],[refute_0_2284:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_23,$fot(b))]]) ).

cnf(refute_0_15016,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(b,b,a) != bigC(b,a,b)
    | bigC(b,b,a) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,b,a))),bind(Y,$fot(bigC(b,a,b))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_15017,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(b,b,a) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(b,a,b)) )],[refute_0_301,refute_0_15016]) ).

cnf(refute_0_15018,plain,
    bigC(b,b,a) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_15017]) ).

cnf(refute_0_15019,plain,
    ( bigC(b,b,a) != bigC(a,b,b)
    | product(b,product(a,b)) != bigC(b,b,a)
    | product(b,product(a,b)) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(b,product(a,b)))),bind(Y,$fot(bigC(b,b,a))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_15020,plain,
    ( bigC(b,b,a) != bigC(a,b,b)
    | product(b,product(a,b)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(b,b,a)) )],[refute_0_304,refute_0_15019]) ).

cnf(refute_0_15021,plain,
    product(b,product(a,b)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(bigC(b,b,a),bigC(a,b,b)) )],[refute_0_15018,refute_0_15020]) ).

cnf(refute_0_15022,plain,
    difference(product(a,b),product(b,product(a,b))) = difference(product(a,b),product(b,product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),product(b,product(a,b))))]]) ).

cnf(refute_0_15023,plain,
    ( difference(product(a,b),product(b,product(a,b))) != difference(product(a,b),product(b,product(a,b)))
    | product(b,product(a,b)) != bigC(a,b,b)
    | difference(product(a,b),product(b,product(a,b))) = difference(product(a,b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(b,product(a,b))),difference(product(a,b),product(b,product(a,b)))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_15024,plain,
    ( product(b,product(a,b)) != bigC(a,b,b)
    | difference(product(a,b),product(b,product(a,b))) = difference(product(a,b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(b,product(a,b))),difference(product(a,b),product(b,product(a,b)))) )],[refute_0_15022,refute_0_15023]) ).

cnf(refute_0_15025,plain,
    difference(product(a,b),product(b,product(a,b))) = difference(product(a,b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(b,product(a,b)),bigC(a,b,b)) )],[refute_0_15021,refute_0_15024]) ).

cnf(refute_0_15026,plain,
    ( difference(product(a,b),bigC(a,b,b)) != product(b,a)
    | difference(product(a,b),product(b,product(a,b))) != difference(product(a,b),bigC(a,b,b))
    | difference(product(a,b),product(b,product(a,b))) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,b),product(b,product(a,b))))),bind(Y,$fot(difference(product(a,b),bigC(a,b,b)))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_15027,plain,
    ( difference(product(a,b),bigC(a,b,b)) != product(b,a)
    | difference(product(a,b),product(b,product(a,b))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(b,product(a,b))),difference(product(a,b),bigC(a,b,b))) )],[refute_0_15025,refute_0_15026]) ).

cnf(refute_0_15028,plain,
    difference(product(a,b),product(b,product(a,b))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(a,b,b)),product(b,a)) )],[refute_0_15015,refute_0_15027]) ).

cnf(refute_0_15029,plain,
    ( difference(product(a,b),product(b,product(a,b))) != product(b,a)
    | quotient(bigC(a,a,b),product(a,b)) != difference(product(a,b),product(b,product(a,b)))
    | quotient(bigC(a,a,b),product(a,b)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(a,b)),difference(product(a,b),product(b,product(a,b)))) ),[1],$fot(product(b,a))]]) ).

cnf(refute_0_15030,plain,
    ( quotient(bigC(a,a,b),product(a,b)) != difference(product(a,b),product(b,product(a,b)))
    | quotient(bigC(a,a,b),product(a,b)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(b,product(a,b))),product(b,a)) )],[refute_0_15028,refute_0_15029]) ).

cnf(refute_0_15031,plain,
    quotient(bigC(a,a,b),product(a,b)) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,b)),difference(product(a,b),product(b,product(a,b)))) )],[refute_0_15014,refute_0_15030]) ).

cnf(refute_0_15032,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),product(a,b))))
    | quotient(bigC(a,a,b),product(a,b)) != product(b,a)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = product(bigC(a,a,b),product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),product(a,b))))) ),[1,1,1],$fot(product(b,a))]]) ).

cnf(refute_0_15033,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),product(a,b))))
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = product(bigC(a,a,b),product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,b)),product(b,a)) )],[refute_0_15031,refute_0_15032]) ).

cnf(refute_0_15034,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = product(bigC(a,a,b),product(X_23,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),product(bigC(a,a,b),product(X_23,quotient(bigC(a,a,b),product(a,b))))) )],[refute_0_14984,refute_0_15033]) ).

cnf(refute_0_15035,plain,
    bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(bigC(b,a,b))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_15036,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | bigC(product(b,a),X_22,product(a,b)) = product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) ),[0,0],$fot(product(b,a))]]) ).

cnf(refute_0_15037,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(product(b,a),X_22,product(a,b)) = product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(b,a,b)),product(b,a)) )],[refute_0_4248,refute_0_15036]) ).

cnf(refute_0_15038,plain,
    bigC(product(b,a),X_22,product(a,b)) = product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_15035,refute_0_15037]) ).

cnf(refute_0_15039,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = product(product(product(b,a),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) ),[1,0,0],$fot(product(b,a))]]) ).

cnf(refute_0_15040,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = product(product(product(b,a),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(b,a,b)),product(b,a)) )],[refute_0_4248,refute_0_15039]) ).

cnf(refute_0_15041,plain,
    bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = product(product(product(b,a),X_22),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_15035,refute_0_15040]) ).

cnf(refute_0_15042,plain,
    bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)))]]) ).

cnf(refute_0_15043,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b))
    | difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = bigC(product(b,a),X_22,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b))) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_15044,plain,
    ( difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = bigC(product(b,a),X_22,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b))) )],[refute_0_15042,refute_0_15043]) ).

cnf(refute_0_15045,plain,
    bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) = bigC(product(b,a),X_22,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(b,a,b)),product(b,a)) )],[refute_0_4248,refute_0_15044]) ).

cnf(refute_0_15046,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != bigC(product(b,a),X_22,product(a,b))
    | bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(product(b,a),X_22),bigC(b,a,b))
    | bigC(product(b,a),X_22,product(a,b)) = product(product(product(b,a),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),product(product(product(b,a),X_22),bigC(b,a,b))) ),[0],$fot(bigC(product(b,a),X_22,product(a,b)))]]) ).

cnf(refute_0_15047,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(product(b,a),X_22),bigC(b,a,b))
    | bigC(product(b,a),X_22,product(a,b)) = product(product(product(b,a),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),bigC(product(b,a),X_22,product(a,b))) )],[refute_0_15045,refute_0_15046]) ).

cnf(refute_0_15048,plain,
    bigC(b,product(a,a),X_22) = bigC(b,product(a,a),X_22),
    introduced(tautology,[refl,[$fot(bigC(b,product(a,a),X_22))]]) ).

cnf(refute_0_15049,plain,
    ( bigC(b,product(a,a),X_22) != bigC(b,product(a,a),X_22)
    | product(a,a) != a
    | bigC(b,product(a,a),X_22) = bigC(b,a,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,product(a,a),X_22),bigC(b,product(a,a),X_22)) ),[1,1],$fot(a)]]) ).

cnf(refute_0_15050,plain,
    ( product(a,a) != a
    | bigC(b,product(a,a),X_22) = bigC(b,a,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,a),X_22),bigC(b,product(a,a),X_22)) )],[refute_0_15048,refute_0_15049]) ).

cnf(refute_0_15051,plain,
    bigC(b,product(a,a),X_22) = bigC(b,a,X_22),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_15050]) ).

cnf(refute_0_15052,plain,
    bigC(product(b,b),product(a,a),X_22) = bigC(product(b,b),product(a,a),X_22),
    introduced(tautology,[refl,[$fot(bigC(product(b,b),product(a,a),X_22))]]) ).

cnf(refute_0_15053,plain,
    ( bigC(product(b,b),product(a,a),X_22) != bigC(product(b,b),product(a,a),X_22)
    | product(b,b) != b
    | bigC(product(b,b),product(a,a),X_22) = bigC(b,product(a,a),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,b),product(a,a),X_22),bigC(product(b,b),product(a,a),X_22)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_15054,plain,
    ( product(b,b) != b
    | bigC(product(b,b),product(a,a),X_22) = bigC(b,product(a,a),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(a,a),X_22),bigC(product(b,b),product(a,a),X_22)) )],[refute_0_15052,refute_0_15053]) ).

cnf(refute_0_15055,plain,
    bigC(product(b,b),product(a,a),X_22) = bigC(b,product(a,a),X_22),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_15054]) ).

cnf(refute_0_15056,plain,
    ( bigC(b,product(a,a),X_22) != bigC(b,a,X_22)
    | bigC(product(b,b),product(a,a),X_22) != bigC(b,product(a,a),X_22)
    | bigC(product(b,b),product(a,a),X_22) = bigC(b,a,X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,b),product(a,a),X_22))),bind(Y,$fot(bigC(b,product(a,a),X_22))),bind(Z,$fot(bigC(b,a,X_22)))]]) ).

cnf(refute_0_15057,plain,
    ( bigC(b,product(a,a),X_22) != bigC(b,a,X_22)
    | bigC(product(b,b),product(a,a),X_22) = bigC(b,a,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(a,a),X_22),bigC(b,product(a,a),X_22)) )],[refute_0_15055,refute_0_15056]) ).

cnf(refute_0_15058,plain,
    bigC(product(b,b),product(a,a),X_22) = bigC(b,a,X_22),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,a),X_22),bigC(b,a,X_22)) )],[refute_0_15051,refute_0_15057]) ).

cnf(refute_0_15059,plain,
    product(product(product(b,a),X_22),bigC(b,a,b)) = bigC(product(b,b),product(a,a),X_22),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(X_22)),bind(X_63,$fot(b)),bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_15060,plain,
    ( bigC(product(b,b),product(a,a),X_22) != bigC(b,a,X_22)
    | product(product(product(b,a),X_22),bigC(b,a,b)) != bigC(product(b,b),product(a,a),X_22)
    | product(product(product(b,a),X_22),bigC(b,a,b)) = bigC(b,a,X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),X_22),bigC(b,a,b)))),bind(Y,$fot(bigC(product(b,b),product(a,a),X_22))),bind(Z,$fot(bigC(b,a,X_22)))]]) ).

cnf(refute_0_15061,plain,
    ( bigC(product(b,b),product(a,a),X_22) != bigC(b,a,X_22)
    | product(product(product(b,a),X_22),bigC(b,a,b)) = bigC(b,a,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_22),bigC(b,a,b)),bigC(product(b,b),product(a,a),X_22)) )],[refute_0_15059,refute_0_15060]) ).

cnf(refute_0_15062,plain,
    product(product(product(b,a),X_22),bigC(b,a,b)) = bigC(b,a,X_22),
    inference(resolve,[$cnf( $equal(bigC(product(b,b),product(a,a),X_22),bigC(b,a,X_22)) )],[refute_0_15058,refute_0_15061]) ).

cnf(refute_0_15063,plain,
    ( bigC(product(b,a),X_22,product(a,b)) != product(product(product(b,a),X_22),bigC(b,a,b))
    | product(product(product(b,a),X_22),bigC(b,a,b)) != bigC(b,a,X_22)
    | bigC(product(b,a),X_22,product(a,b)) = bigC(b,a,X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),X_22,product(a,b)),bigC(b,a,X_22)) ),[0],$fot(product(product(product(b,a),X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_15064,plain,
    ( bigC(product(b,a),X_22,product(a,b)) != product(product(product(b,a),X_22),bigC(b,a,b))
    | bigC(product(b,a),X_22,product(a,b)) = bigC(b,a,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),X_22),bigC(b,a,b)),bigC(b,a,X_22)) )],[refute_0_15062,refute_0_15063]) ).

cnf(refute_0_15065,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)) != product(product(product(b,a),X_22),bigC(b,a,b))
    | bigC(product(b,a),X_22,product(a,b)) = bigC(b,a,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,product(a,b)),product(product(product(b,a),X_22),bigC(b,a,b))) )],[refute_0_15047,refute_0_15064]) ).

cnf(refute_0_15066,plain,
    bigC(product(b,a),X_22,product(a,b)) = bigC(b,a,X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),X_22,product(a,b)),product(product(product(b,a),X_22),bigC(b,a,b))) )],[refute_0_15041,refute_0_15065]) ).

cnf(refute_0_15067,plain,
    ( bigC(product(b,a),X_22,product(a,b)) != bigC(b,a,X_22)
    | bigC(product(b,a),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,a,X_22) = product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),X_22,product(a,b)),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) ),[0],$fot(bigC(b,a,X_22))]]) ).

cnf(refute_0_15068,plain,
    ( bigC(product(b,a),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,a,X_22) = product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,product(a,b)),bigC(b,a,X_22)) )],[refute_0_15066,refute_0_15067]) ).

cnf(refute_0_15069,plain,
    bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) = bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22))]]) ).

cnf(refute_0_15070,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) != bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22)
    | difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) = bigC(product(b,a),product(a,b),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22),bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_15071,plain,
    ( difference(product(a,b),bigC(b,a,b)) != product(b,a)
    | bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) = bigC(product(b,a),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22),bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22)) )],[refute_0_15069,refute_0_15070]) ).

cnf(refute_0_15072,plain,
    bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) = bigC(product(b,a),product(a,b),X_22),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(b,a,b)),product(b,a)) )],[refute_0_4248,refute_0_15071]) ).

cnf(refute_0_15073,plain,
    product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(bigC(b,a,b))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_15074,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) != bigC(product(b,a),product(a,b),X_22)
    | product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) != bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22)
    | product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(product(b,a),product(a,b),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)))),bind(Y,$fot(bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22))),bind(Z,$fot(bigC(product(b,a),product(a,b),X_22)))]]) ).

cnf(refute_0_15075,plain,
    ( bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22) != bigC(product(b,a),product(a,b),X_22)
    | product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(product(b,a),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)),bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22)) )],[refute_0_15073,refute_0_15074]) ).

cnf(refute_0_15076,plain,
    product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) = bigC(product(b,a),product(a,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,b),bigC(b,a,b)),product(a,b),X_22),bigC(product(b,a),product(a,b),X_22)) )],[refute_0_15072,refute_0_15075]) ).

cnf(refute_0_15077,plain,
    ( bigC(b,a,X_22) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)) != bigC(product(b,a),product(a,b),X_22)
    | bigC(b,a,X_22) = bigC(product(b,a),product(a,b),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,X_22),bigC(product(b,a),product(a,b),X_22)) ),[0],$fot(product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)))]]) ).

cnf(refute_0_15078,plain,
    ( bigC(b,a,X_22) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,a,X_22) = bigC(product(b,a),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b)),bigC(product(b,a),product(a,b),X_22)) )],[refute_0_15076,refute_0_15077]) ).

cnf(refute_0_15079,plain,
    ( bigC(product(b,a),X_22,product(a,b)) != product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))
    | bigC(b,a,X_22) = bigC(product(b,a),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,X_22),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_15068,refute_0_15078]) ).

cnf(refute_0_15080,plain,
    bigC(b,a,X_22) = bigC(product(b,a),product(a,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),X_22,product(a,b)),product(product(difference(product(a,b),bigC(b,a,b)),X_22),bigC(b,a,b))) )],[refute_0_15038,refute_0_15079]) ).

cnf(refute_0_15081,plain,
    ( bigC(b,a,X_22) != bigC(product(b,a),product(a,b),X_22)
    | bigC(product(b,a),product(a,b),X_22) = bigC(b,a,X_22) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,a,X_22))),bind(Y,$fot(bigC(product(b,a),product(a,b),X_22)))]]) ).

cnf(refute_0_15082,plain,
    bigC(product(b,a),product(a,b),X_22) = bigC(b,a,X_22),
    inference(resolve,[$cnf( $equal(bigC(b,a,X_22),bigC(product(b,a),product(a,b),X_22)) )],[refute_0_15080,refute_0_15081]) ).

cnf(refute_0_15083,plain,
    bigC(product(b,a),product(a,b),X_23) = bigC(b,a,X_23),
    inference(subst,[],[refute_0_15082:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_15084,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23))]]) ).

cnf(refute_0_15085,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23)
    | quotient(bigC(a,a,b),product(a,b)) != product(b,a)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(product(b,a),product(a,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_15086,plain,
    ( quotient(bigC(a,a,b),product(a,b)) != product(b,a)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(product(b,a),product(a,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23)) )],[refute_0_15084,refute_0_15085]) ).

cnf(refute_0_15087,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(product(b,a),product(a,b),X_23),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,b)),product(b,a)) )],[refute_0_15031,refute_0_15086]) ).

cnf(refute_0_15088,plain,
    ( bigC(product(b,a),product(a,b),X_23) != bigC(b,a,X_23)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != bigC(product(b,a),product(a,b),X_23)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(b,a,X_23) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23))),bind(Y,$fot(bigC(product(b,a),product(a,b),X_23))),bind(Z,$fot(bigC(b,a,X_23)))]]) ).

cnf(refute_0_15089,plain,
    ( bigC(product(b,a),product(a,b),X_23) != bigC(b,a,X_23)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(b,a,X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),bigC(product(b,a),product(a,b),X_23)) )],[refute_0_15087,refute_0_15088]) ).

cnf(refute_0_15090,plain,
    bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) = bigC(b,a,X_23),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,b),X_23),bigC(b,a,X_23)) )],[refute_0_15083,refute_0_15089]) ).

cnf(refute_0_15091,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != bigC(b,a,X_23)
    | bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != product(bigC(a,a,b),product(X_23,product(b,a)))
    | bigC(b,a,X_23) = product(bigC(a,a,b),product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),product(bigC(a,a,b),product(X_23,product(b,a)))) ),[0],$fot(bigC(b,a,X_23))]]) ).

cnf(refute_0_15092,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != product(bigC(a,a,b),product(X_23,product(b,a)))
    | bigC(b,a,X_23) = product(bigC(a,a,b),product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),bigC(b,a,X_23)) )],[refute_0_15090,refute_0_15091]) ).

cnf(refute_0_15093,plain,
    bigC(a,X_23,product(b,b)) = bigC(a,X_23,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(a,X_23,product(b,b)))]]) ).

cnf(refute_0_15094,plain,
    ( bigC(a,X_23,product(b,b)) != bigC(a,X_23,product(b,b))
    | product(b,b) != b
    | bigC(a,X_23,product(b,b)) = bigC(a,X_23,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,X_23,product(b,b)),bigC(a,X_23,product(b,b))) ),[1,2],$fot(b)]]) ).

cnf(refute_0_15095,plain,
    ( product(b,b) != b
    | bigC(a,X_23,product(b,b)) = bigC(a,X_23,b) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_23,product(b,b)),bigC(a,X_23,product(b,b))) )],[refute_0_15093,refute_0_15094]) ).

cnf(refute_0_15096,plain,
    bigC(a,X_23,product(b,b)) = bigC(a,X_23,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_15095]) ).

cnf(refute_0_15097,plain,
    bigC(product(a,a),X_23,product(b,b)) = bigC(product(a,a),X_23,product(b,b)),
    introduced(tautology,[refl,[$fot(bigC(product(a,a),X_23,product(b,b)))]]) ).

cnf(refute_0_15098,plain,
    ( bigC(product(a,a),X_23,product(b,b)) != bigC(product(a,a),X_23,product(b,b))
    | product(a,a) != a
    | bigC(product(a,a),X_23,product(b,b)) = bigC(a,X_23,product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,a),X_23,product(b,b)),bigC(product(a,a),X_23,product(b,b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_15099,plain,
    ( product(a,a) != a
    | bigC(product(a,a),X_23,product(b,b)) = bigC(a,X_23,product(b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,b)),bigC(product(a,a),X_23,product(b,b))) )],[refute_0_15097,refute_0_15098]) ).

cnf(refute_0_15100,plain,
    bigC(product(a,a),X_23,product(b,b)) = bigC(a,X_23,product(b,b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_15099]) ).

cnf(refute_0_15101,plain,
    ( bigC(a,X_23,product(b,b)) != bigC(a,X_23,b)
    | bigC(product(a,a),X_23,product(b,b)) != bigC(a,X_23,product(b,b))
    | bigC(product(a,a),X_23,product(b,b)) = bigC(a,X_23,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,a),X_23,product(b,b)))),bind(Y,$fot(bigC(a,X_23,product(b,b)))),bind(Z,$fot(bigC(a,X_23,b)))]]) ).

cnf(refute_0_15102,plain,
    ( bigC(a,X_23,product(b,b)) != bigC(a,X_23,b)
    | bigC(product(a,a),X_23,product(b,b)) = bigC(a,X_23,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,b)),bigC(a,X_23,product(b,b))) )],[refute_0_15100,refute_0_15101]) ).

cnf(refute_0_15103,plain,
    bigC(product(a,a),X_23,product(b,b)) = bigC(a,X_23,b),
    inference(resolve,[$cnf( $equal(bigC(a,X_23,product(b,b)),bigC(a,X_23,b)) )],[refute_0_15096,refute_0_15102]) ).

cnf(refute_0_15104,plain,
    product(bigC(a,a,b),product(X_23,product(b,a))) = bigC(product(a,a),X_23,product(b,b)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(X_23)),bind(X_63,$fot(b)),bind(X_64,$fot(b)),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_15105,plain,
    ( bigC(product(a,a),X_23,product(b,b)) != bigC(a,X_23,b)
    | product(bigC(a,a,b),product(X_23,product(b,a))) != bigC(product(a,a),X_23,product(b,b))
    | product(bigC(a,a,b),product(X_23,product(b,a))) = bigC(a,X_23,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(X_23,product(b,a))))),bind(Y,$fot(bigC(product(a,a),X_23,product(b,b)))),bind(Z,$fot(bigC(a,X_23,b)))]]) ).

cnf(refute_0_15106,plain,
    ( bigC(product(a,a),X_23,product(b,b)) != bigC(a,X_23,b)
    | product(bigC(a,a,b),product(X_23,product(b,a))) = bigC(a,X_23,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,product(b,a))),bigC(product(a,a),X_23,product(b,b))) )],[refute_0_15104,refute_0_15105]) ).

cnf(refute_0_15107,plain,
    product(bigC(a,a,b),product(X_23,product(b,a))) = bigC(a,X_23,b),
    inference(resolve,[$cnf( $equal(bigC(product(a,a),X_23,product(b,b)),bigC(a,X_23,b)) )],[refute_0_15103,refute_0_15106]) ).

cnf(refute_0_15108,plain,
    ( bigC(b,a,X_23) != product(bigC(a,a,b),product(X_23,product(b,a)))
    | product(bigC(a,a,b),product(X_23,product(b,a))) != bigC(a,X_23,b)
    | bigC(b,a,X_23) = bigC(a,X_23,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,X_23),bigC(a,X_23,b)) ),[0],$fot(product(bigC(a,a,b),product(X_23,product(b,a))))]]) ).

cnf(refute_0_15109,plain,
    ( bigC(b,a,X_23) != product(bigC(a,a,b),product(X_23,product(b,a)))
    | bigC(b,a,X_23) = bigC(a,X_23,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(X_23,product(b,a))),bigC(a,X_23,b)) )],[refute_0_15107,refute_0_15108]) ).

cnf(refute_0_15110,plain,
    ( bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23) != product(bigC(a,a,b),product(X_23,product(b,a)))
    | bigC(b,a,X_23) = bigC(a,X_23,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,X_23),product(bigC(a,a,b),product(X_23,product(b,a)))) )],[refute_0_15092,refute_0_15109]) ).

cnf(refute_0_15111,plain,
    bigC(b,a,X_23) = bigC(a,X_23,b),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,a,b),product(a,b)),product(a,b),X_23),product(bigC(a,a,b),product(X_23,product(b,a)))) )],[refute_0_15034,refute_0_15110]) ).

cnf(refute_0_15112,plain,
    bigC(b,a,product(c,b)) = bigC(a,product(c,b),b),
    inference(subst,[],[refute_0_15111:[bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_15113,plain,
    ( bigC(a,product(c,b),b) != bigC(a,b,product(c,b))
    | bigC(b,a,product(c,b)) != bigC(a,product(c,b),b)
    | bigC(b,a,product(c,b)) = bigC(a,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,a,product(c,b)))),bind(Y,$fot(bigC(a,product(c,b),b))),bind(Z,$fot(bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_15114,plain,
    ( bigC(a,product(c,b),b) != bigC(a,b,product(c,b))
    | bigC(b,a,product(c,b)) = bigC(a,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,b)),bigC(a,product(c,b),b)) )],[refute_0_15112,refute_0_15113]) ).

cnf(refute_0_15115,plain,
    bigC(b,a,product(c,b)) = bigC(a,b,product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),b),bigC(a,b,product(c,b))) )],[refute_0_14983,refute_0_15114]) ).

cnf(refute_0_15116,plain,
    ( bigC(b,a,product(c,b)) != bigC(a,b,product(c,b))
    | bigC(b,a,product(c,b)) != product(c,bigC(a,b,b))
    | bigC(a,b,product(c,b)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,a,product(c,b)),product(c,bigC(a,b,b))) ),[0],$fot(bigC(a,b,product(c,b)))]]) ).

cnf(refute_0_15117,plain,
    ( bigC(b,a,product(c,b)) != product(c,bigC(a,b,b))
    | bigC(a,b,product(c,b)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,b)),bigC(a,b,product(c,b))) )],[refute_0_15115,refute_0_15116]) ).

cnf(refute_0_15118,plain,
    bigC(a,b,product(c,b)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,product(c,b)),product(c,bigC(a,b,b))) )],[refute_0_14982,refute_0_15117]) ).

cnf(refute_0_15119,plain,
    product(bigC(a,a,b),bigC(a,b,product(c,b))) = product(bigC(a,a,b),bigC(a,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,b),bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_15120,plain,
    ( bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(bigC(a,a,b),bigC(a,b,product(c,b))) != product(bigC(a,a,b),bigC(a,b,product(c,b)))
    | product(bigC(a,a,b),bigC(a,b,product(c,b))) = product(bigC(a,a,b),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,product(c,b))),product(bigC(a,a,b),bigC(a,b,product(c,b)))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_15121,plain,
    ( bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(bigC(a,a,b),bigC(a,b,product(c,b))) = product(bigC(a,a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,product(c,b))),product(bigC(a,a,b),bigC(a,b,product(c,b)))) )],[refute_0_15119,refute_0_15120]) ).

cnf(refute_0_15122,plain,
    product(bigC(a,a,b),bigC(a,b,product(c,b))) = product(bigC(a,a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),product(c,bigC(a,b,b))) )],[refute_0_15118,refute_0_15121]) ).

cnf(refute_0_15123,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),bigC(a,b,product(c,b)))
    | product(bigC(a,a,b),bigC(a,b,product(c,b))) != product(bigC(a,a,b),product(c,bigC(a,b,b)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),product(c,bigC(a,b,b)))) ),[0],$fot(product(bigC(a,a,b),bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_15124,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),bigC(a,b,product(c,b)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(a,b,product(c,b))),product(bigC(a,a,b),product(c,bigC(a,b,b)))) )],[refute_0_15122,refute_0_15123]) ).

cnf(refute_0_15125,plain,
    bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(bigC(a,a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),bigC(a,b,product(c,b)))) )],[refute_0_14894,refute_0_15124]) ).

cnf(refute_0_15126,plain,
    product(product(a,product(b,product(a,c))),c) = product(product(a,product(b,product(a,c))),c),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,product(a,c))),c))]]) ).

cnf(refute_0_15127,plain,
    ( product(a,product(b,product(a,c))) != product(bigC(a,a,c),c)
    | product(product(a,product(b,product(a,c))),c) != product(product(a,product(b,product(a,c))),c)
    | product(product(a,product(b,product(a,c))),c) = product(product(bigC(a,a,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,product(a,c))),c),product(product(a,product(b,product(a,c))),c)) ),[1,0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_15128,plain,
    ( product(a,product(b,product(a,c))) != product(bigC(a,a,c),c)
    | product(product(a,product(b,product(a,c))),c) = product(product(bigC(a,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(a,c))),c),product(product(a,product(b,product(a,c))),c)) )],[refute_0_15126,refute_0_15127]) ).

cnf(refute_0_15129,plain,
    product(product(a,product(b,product(a,c))),c) = product(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(a,product(b,product(a,c))),product(bigC(a,a,c),c)) )],[refute_0_2786,refute_0_15128]) ).

cnf(refute_0_15130,plain,
    bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(quotient(product(a,b),product(c,product(c,b))))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_15131,plain,
    ( bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != product(a,c)
    | bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))))) ),[1,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_15132,plain,
    ( bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))))
    | bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,c)) )],[refute_0_12303,refute_0_15131]) ).

cnf(refute_0_15133,plain,
    bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))))) )],[refute_0_15130,refute_0_15132]) ).

cnf(refute_0_15134,plain,
    bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23))]]) ).

cnf(refute_0_15135,plain,
    ( bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) != bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23)
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != product(a,c)
    | bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = bigC(product(a,c),product(a,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_15136,plain,
    ( quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != product(a,c)
    | bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = bigC(product(a,c),product(a,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23)) )],[refute_0_15134,refute_0_15135]) ).

cnf(refute_0_15137,plain,
    bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) = bigC(product(a,c),product(a,b),X_23),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,c)) )],[refute_0_12303,refute_0_15136]) ).

cnf(refute_0_15138,plain,
    ( bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) != bigC(product(a,c),product(a,b),X_23)
    | bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))
    | bigC(product(a,c),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))) ),[0],$fot(bigC(product(a,c),product(a,b),X_23))]]) ).

cnf(refute_0_15139,plain,
    ( bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))
    | bigC(product(a,c),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),bigC(product(a,c),product(a,b),X_23)) )],[refute_0_15137,refute_0_15138]) ).

cnf(refute_0_15140,plain,
    bigC(product(a,c),product(a,b),X_23) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,b),X_23),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))) )],[refute_0_15133,refute_0_15139]) ).

cnf(refute_0_15141,plain,
    ( bigC(c,a,b) != c
    | bigC(c,b,a) != bigC(c,a,b)
    | bigC(c,b,a) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,b,a))),bind(Y,$fot(bigC(c,a,b))),bind(Z,$fot(c))]]) ).

cnf(refute_0_15142,plain,
    ( bigC(c,a,b) != c
    | bigC(c,b,a) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),bigC(c,a,b)) )],[refute_0_191,refute_0_15141]) ).

cnf(refute_0_15143,plain,
    bigC(c,b,a) = c,
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_15142]) ).

cnf(refute_0_15144,plain,
    product(product(a,X_23),bigC(c,b,a)) = product(product(a,X_23),bigC(c,b,a)),
    introduced(tautology,[refl,[$fot(product(product(a,X_23),bigC(c,b,a)))]]) ).

cnf(refute_0_15145,plain,
    ( bigC(c,b,a) != c
    | product(product(a,X_23),bigC(c,b,a)) != product(product(a,X_23),bigC(c,b,a))
    | product(product(a,X_23),bigC(c,b,a)) = product(product(a,X_23),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_23),bigC(c,b,a)),product(product(a,X_23),bigC(c,b,a))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15146,plain,
    ( bigC(c,b,a) != c
    | product(product(a,X_23),bigC(c,b,a)) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_23),bigC(c,b,a)),product(product(a,X_23),bigC(c,b,a))) )],[refute_0_15144,refute_0_15145]) ).

cnf(refute_0_15147,plain,
    product(product(a,X_23),bigC(c,b,a)) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,a),c) )],[refute_0_15143,refute_0_15146]) ).

cnf(refute_0_15148,plain,
    product(product(a,product(c,b)),product(X_23,product(a,c))) = product(product(a,X_23),bigC(c,b,a)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_63,$fot(a)),bind(X_64,$fot(X_23))]]) ).

cnf(refute_0_15149,plain,
    ( product(product(a,X_23),bigC(c,b,a)) != product(product(a,X_23),c)
    | product(product(a,product(c,b)),product(X_23,product(a,c))) != product(product(a,X_23),bigC(c,b,a))
    | product(product(a,product(c,b)),product(X_23,product(a,c))) = product(product(a,X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,b)),product(X_23,product(a,c))))),bind(Y,$fot(product(product(a,X_23),bigC(c,b,a)))),bind(Z,$fot(product(product(a,X_23),c)))]]) ).

cnf(refute_0_15150,plain,
    ( product(product(a,X_23),bigC(c,b,a)) != product(product(a,X_23),c)
    | product(product(a,product(c,b)),product(X_23,product(a,c))) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(X_23,product(a,c))),product(product(a,X_23),bigC(c,b,a))) )],[refute_0_15148,refute_0_15149]) ).

cnf(refute_0_15151,plain,
    product(product(a,product(c,b)),product(X_23,product(a,c))) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(product(product(a,X_23),bigC(c,b,a)),product(product(a,X_23),c)) )],[refute_0_15147,refute_0_15150]) ).

cnf(refute_0_15152,plain,
    product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))))]]) ).

cnf(refute_0_15153,plain,
    ( product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))
    | quotient(product(a,b),product(c,product(c,b))) != product(a,product(c,b))
    | product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(product(a,product(c,b)),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_15154,plain,
    ( quotient(product(a,b),product(c,product(c,b))) != product(a,product(c,b))
    | product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(product(a,product(c,b)),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))) )],[refute_0_15152,refute_0_15153]) ).

cnf(refute_0_15155,plain,
    product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(product(a,product(c,b)),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(c,product(c,b))),product(a,product(c,b))) )],[refute_0_12311,refute_0_15154]) ).

cnf(refute_0_15156,plain,
    ( product(product(a,product(c,b)),product(X_23,product(a,c))) != product(product(a,X_23),c)
    | product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) != product(product(a,product(c,b)),product(X_23,product(a,c)))
    | product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(product(a,X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))))),bind(Y,$fot(product(product(a,product(c,b)),product(X_23,product(a,c))))),bind(Z,$fot(product(product(a,X_23),c)))]]) ).

cnf(refute_0_15157,plain,
    ( product(product(a,product(c,b)),product(X_23,product(a,c))) != product(product(a,X_23),c)
    | product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),product(product(a,product(c,b)),product(X_23,product(a,c)))) )],[refute_0_15155,refute_0_15156]) ).

cnf(refute_0_15158,plain,
    product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(X_23,product(a,c))),product(product(a,X_23),c)) )],[refute_0_15151,refute_0_15157]) ).

cnf(refute_0_15159,plain,
    ( bigC(product(a,c),product(a,b),X_23) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))
    | product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))) != product(product(a,X_23),c)
    | bigC(product(a,c),product(a,b),X_23) = product(product(a,X_23),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),product(a,b),X_23),product(product(a,X_23),c)) ),[0],$fot(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))))]]) ).

cnf(refute_0_15160,plain,
    ( bigC(product(a,c),product(a,b),X_23) != product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))
    | bigC(product(a,c),product(a,b),X_23) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c))),product(product(a,X_23),c)) )],[refute_0_15158,refute_0_15159]) ).

cnf(refute_0_15161,plain,
    bigC(product(a,c),product(a,b),X_23) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),X_23),product(quotient(product(a,b),product(c,product(c,b))),product(X_23,product(a,c)))) )],[refute_0_15140,refute_0_15160]) ).

cnf(refute_0_15162,plain,
    bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(product(a,product(b,product(a,c))),c),
    inference(subst,[],[refute_0_15161:[bind(X_23,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_15163,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(product(a,product(b,product(a,c))),c)
    | product(product(a,product(b,product(a,c))),c) != product(product(bigC(a,a,c),c),c)
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(product(bigC(a,a,c),c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,b),product(b,product(a,c))))),bind(Y,$fot(product(product(a,product(b,product(a,c))),c))),bind(Z,$fot(product(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_15164,plain,
    ( product(product(a,product(b,product(a,c))),c) != product(product(bigC(a,a,c),c),c)
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(product(bigC(a,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(product(a,product(b,product(a,c))),c)) )],[refute_0_15162,refute_0_15163]) ).

cnf(refute_0_15165,plain,
    bigC(product(a,c),product(a,b),product(b,product(a,c))) = product(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,product(a,c))),c),product(product(bigC(a,a,c),c),c)) )],[refute_0_15129,refute_0_15164]) ).

cnf(refute_0_15166,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),product(c,bigC(a,b,b)))
    | bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(product(bigC(a,a,c),c),c)
    | product(product(bigC(a,a,c),c),c) = product(bigC(a,a,b),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),product(c,bigC(a,b,b)))) ),[0],$fot(product(product(bigC(a,a,c),c),c))]]) ).

cnf(refute_0_15167,plain,
    ( bigC(product(a,c),product(a,b),product(b,product(a,c))) != product(bigC(a,a,b),product(c,bigC(a,b,b)))
    | product(product(bigC(a,a,c),c),c) = product(bigC(a,a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(product(bigC(a,a,c),c),c)) )],[refute_0_15165,refute_0_15166]) ).

cnf(refute_0_15168,plain,
    product(product(bigC(a,a,c),c),c) = product(bigC(a,a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(b,product(a,c))),product(bigC(a,a,b),product(c,bigC(a,b,b)))) )],[refute_0_15125,refute_0_15167]) ).

cnf(refute_0_15169,plain,
    ( product(product(bigC(a,a,c),c),c) != product(bigC(a,a,b),product(c,bigC(a,b,b)))
    | product(bigC(a,a,b),product(c,bigC(a,b,b))) = product(product(bigC(a,a,c),c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,c),c),c))),bind(Y,$fot(product(bigC(a,a,b),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_15170,plain,
    product(bigC(a,a,b),product(c,bigC(a,b,b))) = product(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),c),product(bigC(a,a,b),product(c,bigC(a,b,b)))) )],[refute_0_15168,refute_0_15169]) ).

cnf(refute_0_15171,plain,
    ( product(bigC(a,a,b),product(c,bigC(a,b,b))) != product(c,product(a,product(b,product(b,c))))
    | product(bigC(a,a,b),product(c,bigC(a,b,b))) != product(product(bigC(a,a,c),c),c)
    | product(product(bigC(a,a,c),c),c) = product(c,product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,b),product(c,bigC(a,b,b))),product(c,product(a,product(b,product(b,c))))) ),[0],$fot(product(product(bigC(a,a,c),c),c))]]) ).

cnf(refute_0_15172,plain,
    ( product(bigC(a,a,b),product(c,bigC(a,b,b))) != product(c,product(a,product(b,product(b,c))))
    | product(product(bigC(a,a,c),c),c) = product(c,product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,bigC(a,b,b))),product(product(bigC(a,a,c),c),c)) )],[refute_0_15170,refute_0_15171]) ).

cnf(refute_0_15173,plain,
    product(product(bigC(a,a,c),c),c) = product(c,product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,bigC(a,b,b))),product(c,product(a,product(b,product(b,c))))) )],[refute_0_14448,refute_0_15172]) ).

cnf(refute_0_15174,plain,
    ( product(product(bigC(a,a,c),c),c) != product(c,product(a,product(b,product(b,c))))
    | product(c,product(a,product(b,product(b,c)))) = product(product(bigC(a,a,c),c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,c),c),c))),bind(Y,$fot(product(c,product(a,product(b,product(b,c))))))]]) ).

cnf(refute_0_15175,plain,
    product(c,product(a,product(b,product(b,c)))) = product(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),c),product(c,product(a,product(b,product(b,c))))) )],[refute_0_15173,refute_0_15174]) ).

cnf(refute_0_15176,plain,
    ( difference(c,product(c,product(a,product(b,product(b,c))))) != product(a,product(b,product(b,c)))
    | product(c,product(a,product(b,product(b,c)))) != product(product(bigC(a,a,c),c),c)
    | difference(c,product(product(bigC(a,a,c),c),c)) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(a,product(b,product(b,c))))),product(a,product(b,product(b,c)))) ),[0,1],$fot(product(product(bigC(a,a,c),c),c))]]) ).

cnf(refute_0_15177,plain,
    ( difference(c,product(c,product(a,product(b,product(b,c))))) != product(a,product(b,product(b,c)))
    | difference(c,product(product(bigC(a,a,c),c),c)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,product(b,c)))),product(product(bigC(a,a,c),c),c)) )],[refute_0_15175,refute_0_15176]) ).

cnf(refute_0_15178,plain,
    difference(c,product(product(bigC(a,a,c),c),c)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(a,product(b,product(b,c))))),product(a,product(b,product(b,c)))) )],[refute_0_14408,refute_0_15177]) ).

cnf(refute_0_15179,plain,
    difference(c,product(product(bigC(a,a,c),c),c)) = quotient(c,product(c,bigC(a,a,c))),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(bigC(a,a,c))),bind(X_18,$fot(c))]]) ).

cnf(refute_0_15180,plain,
    ( difference(c,product(product(bigC(a,a,c),c),c)) != product(a,product(b,product(b,c)))
    | difference(c,product(product(bigC(a,a,c),c),c)) != quotient(c,product(c,bigC(a,a,c)))
    | quotient(c,product(c,bigC(a,a,c))) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(bigC(a,a,c),c),c)),product(a,product(b,product(b,c)))) ),[0],$fot(quotient(c,product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_15181,plain,
    ( difference(c,product(product(bigC(a,a,c),c),c)) != product(a,product(b,product(b,c)))
    | quotient(c,product(c,bigC(a,a,c))) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(a,a,c),c),c)),quotient(c,product(c,bigC(a,a,c)))) )],[refute_0_15179,refute_0_15180]) ).

cnf(refute_0_15182,plain,
    quotient(c,product(c,bigC(a,a,c))) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(a,a,c),c),c)),product(a,product(b,product(b,c)))) )],[refute_0_15178,refute_0_15181]) ).

cnf(refute_0_15183,plain,
    ( difference(quotient(c,product(c,bigC(a,a,c))),c) != product(c,bigC(a,a,c))
    | quotient(c,product(c,bigC(a,a,c))) != product(a,product(b,product(b,c)))
    | difference(product(a,product(b,product(b,c))),c) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,product(c,bigC(a,a,c))),c),product(c,bigC(a,a,c))) ),[0,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_15184,plain,
    ( difference(quotient(c,product(c,bigC(a,a,c))),c) != product(c,bigC(a,a,c))
    | difference(product(a,product(b,product(b,c))),c) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,bigC(a,a,c))),product(a,product(b,product(b,c)))) )],[refute_0_15182,refute_0_15183]) ).

cnf(refute_0_15185,plain,
    difference(product(a,product(b,product(b,c))),c) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(quotient(c,product(c,bigC(a,a,c))),c),product(c,bigC(a,a,c))) )],[refute_0_14407,refute_0_15184]) ).

cnf(refute_0_15186,plain,
    difference(c,difference(product(a,product(b,product(b,c))),c)) = difference(c,difference(product(a,product(b,product(b,c))),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(product(a,product(b,product(b,c))),c)))]]) ).

cnf(refute_0_15187,plain,
    ( difference(c,difference(product(a,product(b,product(b,c))),c)) != difference(c,difference(product(a,product(b,product(b,c))),c))
    | difference(product(a,product(b,product(b,c))),c) != product(c,bigC(a,a,c))
    | difference(c,difference(product(a,product(b,product(b,c))),c)) = difference(c,product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(a,product(b,product(b,c))),c)),difference(c,difference(product(a,product(b,product(b,c))),c))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_15188,plain,
    ( difference(product(a,product(b,product(b,c))),c) != product(c,bigC(a,a,c))
    | difference(c,difference(product(a,product(b,product(b,c))),c)) = difference(c,product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(b,product(b,c))),c)),difference(c,difference(product(a,product(b,product(b,c))),c))) )],[refute_0_15186,refute_0_15187]) ).

cnf(refute_0_15189,plain,
    difference(c,difference(product(a,product(b,product(b,c))),c)) = difference(c,product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,product(b,c))),c),product(c,bigC(a,a,c))) )],[refute_0_15185,refute_0_15188]) ).

cnf(refute_0_15190,plain,
    ( difference(c,difference(product(a,product(b,product(b,c))),c)) != difference(c,product(c,bigC(a,a,c)))
    | difference(c,product(c,bigC(a,a,c))) != bigC(a,a,c)
    | difference(c,difference(product(a,product(b,product(b,c))),c)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,difference(product(a,product(b,product(b,c))),c)))),bind(Y,$fot(difference(c,product(c,bigC(a,a,c))))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_15191,plain,
    ( difference(c,product(c,bigC(a,a,c))) != bigC(a,a,c)
    | difference(c,difference(product(a,product(b,product(b,c))),c)) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(b,product(b,c))),c)),difference(c,product(c,bigC(a,a,c)))) )],[refute_0_15189,refute_0_15190]) ).

cnf(refute_0_15192,plain,
    difference(c,difference(product(a,product(b,product(b,c))),c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(a,a,c))),bigC(a,a,c)) )],[refute_0_14406,refute_0_15191]) ).

cnf(refute_0_15193,plain,
    ( difference(c,difference(product(a,product(b,product(b,c))),c)) != bigC(a,a,c)
    | difference(c,difference(product(a,product(b,product(b,c))),c)) != product(c,quotient(product(a,product(c,b)),c))
    | bigC(a,a,c) = product(c,quotient(product(a,product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(a,product(b,product(b,c))),c)),product(c,quotient(product(a,product(c,b)),c))) ),[0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_15194,plain,
    ( difference(c,difference(product(a,product(b,product(b,c))),c)) != product(c,quotient(product(a,product(c,b)),c))
    | bigC(a,a,c) = product(c,quotient(product(a,product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(b,product(b,c))),c)),bigC(a,a,c)) )],[refute_0_15192,refute_0_15193]) ).

cnf(refute_0_15195,plain,
    bigC(a,a,c) = product(c,quotient(product(a,product(c,b)),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(a,product(b,product(b,c))),c)),product(c,quotient(product(a,product(c,b)),c))) )],[refute_0_14405,refute_0_15194]) ).

cnf(refute_0_15196,plain,
    ( bigC(a,a,c) != product(c,quotient(product(a,product(c,b)),c))
    | product(c,quotient(product(a,product(c,b)),c)) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,c))),bind(Y,$fot(product(c,quotient(product(a,product(c,b)),c))))]]) ).

cnf(refute_0_15197,plain,
    product(c,quotient(product(a,product(c,b)),c)) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(bigC(a,a,c),product(c,quotient(product(a,product(c,b)),c))) )],[refute_0_15195,refute_0_15196]) ).

cnf(refute_0_15198,plain,
    ( product(c,quotient(product(a,product(c,b)),c)) != bigC(a,a,c)
    | quotient(quotient(c,product(c,quotient(product(a,product(c,b)),c))),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(quotient(c,bigC(a,a,c)),c) = difference(c,product(quotient(product(a,product(c,b)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,quotient(product(a,product(c,b)),c))),c),difference(c,product(quotient(product(a,product(c,b)),c),c))) ),[0,0,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_15199,plain,
    ( quotient(quotient(c,product(c,quotient(product(a,product(c,b)),c))),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(quotient(c,bigC(a,a,c)),c) = difference(c,product(quotient(product(a,product(c,b)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,product(c,b)),c)),bigC(a,a,c)) )],[refute_0_15197,refute_0_15198]) ).

cnf(refute_0_15200,plain,
    quotient(quotient(c,bigC(a,a,c)),c) = difference(c,product(quotient(product(a,product(c,b)),c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,quotient(product(a,product(c,b)),c))),c),difference(c,product(quotient(product(a,product(c,b)),c),c))) )],[refute_0_14401,refute_0_15199]) ).

cnf(refute_0_15201,plain,
    quotient(bigC(product(a,c),b,product(c,a)),product(product(c,a),product(a,c))) = product(product(a,c),b),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(b)),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_15202,plain,
    ( bigC(product(a,c),b,product(c,a)) != c
    | quotient(bigC(product(a,c),b,product(c,a)),product(product(c,a),product(a,c))) != product(product(a,c),b)
    | quotient(c,product(product(c,a),product(a,c))) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,c),b,product(c,a)),product(product(c,a),product(a,c))),product(product(a,c),b)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_15203,plain,
    ( quotient(bigC(product(a,c),b,product(c,a)),product(product(c,a),product(a,c))) != product(product(a,c),b)
    | quotient(c,product(product(c,a),product(a,c))) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,product(c,a)),c) )],[refute_0_11999,refute_0_15202]) ).

cnf(refute_0_15204,plain,
    quotient(c,product(product(c,a),product(a,c))) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,c),b,product(c,a)),product(product(c,a),product(a,c))),product(product(a,c),b)) )],[refute_0_15201,refute_0_15203]) ).

cnf(refute_0_15205,plain,
    quotient(c,product(product(c,a),product(a,c))) = quotient(c,product(product(c,a),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(c,product(product(c,a),product(a,c))))]]) ).

cnf(refute_0_15206,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | quotient(c,product(product(c,a),product(a,c))) != quotient(c,product(product(c,a),product(a,c)))
    | quotient(c,product(product(c,a),product(a,c))) = quotient(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(c,a),product(a,c))),quotient(c,product(product(c,a),product(a,c)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_15207,plain,
    ( product(product(c,a),product(a,c)) != bigC(a,a,c)
    | quotient(c,product(product(c,a),product(a,c))) = quotient(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(c,a),product(a,c))),quotient(c,product(product(c,a),product(a,c)))) )],[refute_0_15205,refute_0_15206]) ).

cnf(refute_0_15208,plain,
    quotient(c,product(product(c,a),product(a,c))) = quotient(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,c)),bigC(a,a,c)) )],[refute_0_8698,refute_0_15207]) ).

cnf(refute_0_15209,plain,
    ( quotient(c,product(product(c,a),product(a,c))) != product(product(a,c),b)
    | quotient(c,product(product(c,a),product(a,c))) != quotient(c,bigC(a,a,c))
    | quotient(c,bigC(a,a,c)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(product(c,a),product(a,c))),product(product(a,c),b)) ),[0],$fot(quotient(c,bigC(a,a,c)))]]) ).

cnf(refute_0_15210,plain,
    ( quotient(c,product(product(c,a),product(a,c))) != product(product(a,c),b)
    | quotient(c,bigC(a,a,c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(c,a),product(a,c))),quotient(c,bigC(a,a,c))) )],[refute_0_15208,refute_0_15209]) ).

cnf(refute_0_15211,plain,
    quotient(c,bigC(a,a,c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(c,product(product(c,a),product(a,c))),product(product(a,c),b)) )],[refute_0_15204,refute_0_15210]) ).

cnf(refute_0_15212,plain,
    quotient(quotient(c,bigC(a,a,c)),c) = quotient(quotient(c,bigC(a,a,c)),c),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,bigC(a,a,c)),c))]]) ).

cnf(refute_0_15213,plain,
    ( quotient(c,bigC(a,a,c)) != product(product(a,c),b)
    | quotient(quotient(c,bigC(a,a,c)),c) != quotient(quotient(c,bigC(a,a,c)),c)
    | quotient(quotient(c,bigC(a,a,c)),c) = quotient(product(product(a,c),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),c),quotient(quotient(c,bigC(a,a,c)),c)) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15214,plain,
    ( quotient(c,bigC(a,a,c)) != product(product(a,c),b)
    | quotient(quotient(c,bigC(a,a,c)),c) = quotient(product(product(a,c),b),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),c),quotient(quotient(c,bigC(a,a,c)),c)) )],[refute_0_15212,refute_0_15213]) ).

cnf(refute_0_15215,plain,
    quotient(quotient(c,bigC(a,a,c)),c) = quotient(product(product(a,c),b),c),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,c)),product(product(a,c),b)) )],[refute_0_15211,refute_0_15214]) ).

cnf(refute_0_15216,plain,
    ( quotient(quotient(c,bigC(a,a,c)),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(quotient(c,bigC(a,a,c)),c) != quotient(product(product(a,c),b),c)
    | quotient(product(product(a,c),b),c) = difference(c,product(quotient(product(a,product(c,b)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),c),difference(c,product(quotient(product(a,product(c,b)),c),c))) ),[0],$fot(quotient(product(product(a,c),b),c))]]) ).

cnf(refute_0_15217,plain,
    ( quotient(quotient(c,bigC(a,a,c)),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(product(product(a,c),b),c) = difference(c,product(quotient(product(a,product(c,b)),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),c),quotient(product(product(a,c),b),c)) )],[refute_0_15215,refute_0_15216]) ).

cnf(refute_0_15218,plain,
    product(quotient(product(a,product(c,b)),c),c) = product(a,product(c,b)),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,product(c,b)))),bind(B,$fot(c))]]) ).

cnf(refute_0_15219,plain,
    difference(c,product(quotient(product(a,product(c,b)),c),c)) = difference(c,product(quotient(product(a,product(c,b)),c),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(product(a,product(c,b)),c),c)))]]) ).

cnf(refute_0_15220,plain,
    ( difference(c,product(quotient(product(a,product(c,b)),c),c)) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | product(quotient(product(a,product(c,b)),c),c) != product(a,product(c,b))
    | difference(c,product(quotient(product(a,product(c,b)),c),c)) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(product(a,product(c,b)),c),c)),difference(c,product(quotient(product(a,product(c,b)),c),c))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_15221,plain,
    ( product(quotient(product(a,product(c,b)),c),c) != product(a,product(c,b))
    | difference(c,product(quotient(product(a,product(c,b)),c),c)) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(product(a,product(c,b)),c),c)),difference(c,product(quotient(product(a,product(c,b)),c),c))) )],[refute_0_15219,refute_0_15220]) ).

cnf(refute_0_15222,plain,
    difference(c,product(quotient(product(a,product(c,b)),c),c)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(c,b)),c),c),product(a,product(c,b))) )],[refute_0_15218,refute_0_15221]) ).

cnf(refute_0_15223,plain,
    ( difference(c,product(quotient(product(a,product(c,b)),c),c)) != difference(c,product(a,product(c,b)))
    | quotient(product(product(a,c),b),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(product(product(a,c),b),c) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),c),difference(c,product(quotient(product(a,product(c,b)),c),c))) ),[1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15224,plain,
    ( quotient(product(product(a,c),b),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(product(product(a,c),b),c) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(product(a,product(c,b)),c),c)),difference(c,product(a,product(c,b)))) )],[refute_0_15222,refute_0_15223]) ).

cnf(refute_0_15225,plain,
    ( quotient(quotient(c,bigC(a,a,c)),c) != difference(c,product(quotient(product(a,product(c,b)),c),c))
    | quotient(product(product(a,c),b),c) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),c),difference(c,product(quotient(product(a,product(c,b)),c),c))) )],[refute_0_15217,refute_0_15224]) ).

cnf(refute_0_15226,plain,
    quotient(product(product(a,c),b),c) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),c),difference(c,product(quotient(product(a,product(c,b)),c),c))) )],[refute_0_15200,refute_0_15225]) ).

cnf(refute_0_15227,plain,
    ( quotient(product(product(a,c),b),c) != difference(c,product(a,product(c,b)))
    | quotient(product(product(a,c),b),c) != difference(product(a,c),difference(c,product(a,c)))
    | difference(c,product(a,product(c,b))) = difference(product(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),c),difference(product(a,c),difference(c,product(a,c)))) ),[0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15228,plain,
    ( quotient(product(product(a,c),b),c) != difference(product(a,c),difference(c,product(a,c)))
    | difference(c,product(a,product(c,b))) = difference(product(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),c),difference(c,product(a,product(c,b)))) )],[refute_0_15226,refute_0_15227]) ).

cnf(refute_0_15229,plain,
    difference(c,product(a,product(c,b))) = difference(product(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),c),difference(product(a,c),difference(c,product(a,c)))) )],[refute_0_14400,refute_0_15228]) ).

cnf(refute_0_15230,plain,
    ( difference(c,product(a,product(c,b))) != difference(product(a,c),difference(c,product(a,c)))
    | difference(product(a,c),difference(c,product(a,c))) = difference(c,product(a,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,product(c,b))))),bind(Y,$fot(difference(product(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_15231,plain,
    difference(product(a,c),difference(c,product(a,c))) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,product(c,b))),difference(product(a,c),difference(c,product(a,c)))) )],[refute_0_15229,refute_0_15230]) ).

cnf(refute_0_15232,plain,
    quotient(difference(product(a,c),difference(c,product(a,c))),c) = quotient(difference(product(a,c),difference(c,product(a,c))),c),
    introduced(tautology,[refl,[$fot(quotient(difference(product(a,c),difference(c,product(a,c))),c))]]) ).

cnf(refute_0_15233,plain,
    ( difference(product(a,c),difference(c,product(a,c))) != difference(c,product(a,product(c,b)))
    | quotient(difference(product(a,c),difference(c,product(a,c))),c) != quotient(difference(product(a,c),difference(c,product(a,c))),c)
    | quotient(difference(product(a,c),difference(c,product(a,c))),c) = quotient(difference(c,product(a,product(c,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(a,c),difference(c,product(a,c))),c),quotient(difference(product(a,c),difference(c,product(a,c))),c)) ),[1,0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15234,plain,
    ( difference(product(a,c),difference(c,product(a,c))) != difference(c,product(a,product(c,b)))
    | quotient(difference(product(a,c),difference(c,product(a,c))),c) = quotient(difference(c,product(a,product(c,b))),c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,c),difference(c,product(a,c))),c),quotient(difference(product(a,c),difference(c,product(a,c))),c)) )],[refute_0_15232,refute_0_15233]) ).

cnf(refute_0_15235,plain,
    quotient(difference(product(a,c),difference(c,product(a,c))),c) = quotient(difference(c,product(a,product(c,b))),c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(c,product(a,c))),difference(c,product(a,product(c,b)))) )],[refute_0_15231,refute_0_15234]) ).

cnf(refute_0_15236,plain,
    product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) = product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)))]]) ).

cnf(refute_0_15237,plain,
    ( product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | quotient(difference(product(a,c),difference(c,product(a,c))),c) != quotient(difference(c,product(a,product(c,b))),c)
    | product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) = product(c,quotient(difference(c,product(a,product(c,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) ),[1,1],$fot(quotient(difference(c,product(a,product(c,b))),c))]]) ).

cnf(refute_0_15238,plain,
    ( quotient(difference(product(a,c),difference(c,product(a,c))),c) != quotient(difference(c,product(a,product(c,b))),c)
    | product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) = product(c,quotient(difference(c,product(a,product(c,b))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) )],[refute_0_15236,refute_0_15237]) ).

cnf(refute_0_15239,plain,
    product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) = product(c,quotient(difference(c,product(a,product(c,b))),c)),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,c),difference(c,product(a,c))),c),quotient(difference(c,product(a,product(c,b))),c)) )],[refute_0_15235,refute_0_15238]) ).

cnf(refute_0_15240,plain,
    ( difference(c,bigC(a,a,c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)) != product(c,quotient(difference(c,product(a,product(c,b))),c))
    | difference(c,bigC(a,a,c)) = product(c,quotient(difference(c,product(a,product(c,b))),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(a,a,c)),product(c,quotient(difference(c,product(a,product(c,b))),c))) ),[0],$fot(product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)))]]) ).

cnf(refute_0_15241,plain,
    ( difference(c,bigC(a,a,c)) != product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))
    | difference(c,bigC(a,a,c)) = product(c,quotient(difference(c,product(a,product(c,b))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c)),product(c,quotient(difference(c,product(a,product(c,b))),c))) )],[refute_0_15239,refute_0_15240]) ).

cnf(refute_0_15242,plain,
    difference(c,bigC(a,a,c)) = product(c,quotient(difference(c,product(a,product(c,b))),c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),product(c,quotient(difference(product(a,c),difference(c,product(a,c))),c))) )],[refute_0_14396,refute_0_15241]) ).

cnf(refute_0_15243,plain,
    quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),product(difference(c,product(a,c)),difference(c,product(b,a))))) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(difference(c,product(b,a)))),bind(X_16,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_15244,plain,
    ( product(difference(c,product(a,c)),difference(c,product(b,a))) != c
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),product(difference(c,product(a,c)),difference(c,product(b,a))))) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),product(difference(c,product(a,c)),difference(c,product(b,a))))),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) ),[0,1,1],$fot(c)]]) ).

cnf(refute_0_15245,plain,
    ( quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),product(difference(c,product(a,c)),difference(c,product(b,a))))) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),difference(c,product(b,a))),c) )],[refute_0_12441,refute_0_15244]) ).

cnf(refute_0_15246,plain,
    quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),product(difference(c,product(a,c)),difference(c,product(b,a))))),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15243,refute_0_15245]) ).

cnf(refute_0_15247,plain,
    ( quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) != quotient(difference(c,product(a,c)),product(a,b))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) ),[0],$fot(quotient(difference(c,product(a,c)),product(a,b)))]]) ).

cnf(refute_0_15248,plain,
    ( quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),product(a,b))) )],[refute_0_2009,refute_0_15247]) ).

cnf(refute_0_15249,plain,
    quotient(difference(c,product(a,c)),product(a,b)) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(difference(c,product(a,c)),c)),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15246,refute_0_15248]) ).

cnf(refute_0_15250,plain,
    product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))))]]) ).

cnf(refute_0_15251,plain,
    ( product(difference(c,product(b,a)),difference(c,product(a,c))) != product(quotient(c,b),difference(c,product(a,c)))
    | product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) ),[1,0],$fot(product(quotient(c,b),difference(c,product(a,c))))]]) ).

cnf(refute_0_15252,plain,
    ( product(difference(c,product(b,a)),difference(c,product(a,c))) != product(quotient(c,b),difference(c,product(a,c)))
    | product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15250,refute_0_15251]) ).

cnf(refute_0_15253,plain,
    product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),difference(c,product(a,c))),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_13284,refute_0_15252]) ).

cnf(refute_0_15254,plain,
    ( product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(a,b)) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) ),[1],$fot(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))))]]) ).

cnf(refute_0_15255,plain,
    ( quotient(difference(c,product(a,c)),product(a,b)) != product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))
    | quotient(difference(c,product(a,c)),product(a,b)) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c))),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15253,refute_0_15254]) ).

cnf(refute_0_15256,plain,
    quotient(difference(c,product(a,c)),product(a,b)) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(product(difference(c,product(b,a)),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15249,refute_0_15255]) ).

cnf(refute_0_15257,plain,
    ( quotient(difference(c,product(a,c)),product(a,b)) != product(difference(quotient(c,b),quotient(a,c)),c)
    | quotient(difference(c,product(a,c)),product(a,b)) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | product(difference(quotient(c,b),quotient(a,c)),c) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) ),[0],$fot(product(difference(quotient(c,b),quotient(a,c)),c))]]) ).

cnf(refute_0_15258,plain,
    ( quotient(difference(c,product(a,c)),product(a,b)) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | product(difference(quotient(c,b),quotient(a,c)),c) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_2567,refute_0_15257]) ).

cnf(refute_0_15259,plain,
    product(difference(quotient(c,b),quotient(a,c)),c) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),product(a,b)),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15256,refute_0_15258]) ).

cnf(refute_0_15260,plain,
    quotient(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c) = product(difference(quotient(c,b),quotient(a,c)),c),
    inference(subst,[],[sos03:[bind(A,$fot(product(difference(quotient(c,b),quotient(a,c)),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_15261,plain,
    ( product(product(difference(quotient(c,b),quotient(a,c)),c),c) != product(a,product(c,b))
    | quotient(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c) != product(difference(quotient(c,b),quotient(a,c)),c)
    | quotient(product(a,product(c,b)),c) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c),product(difference(quotient(c,b),quotient(a,c)),c)) ),[0,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_15262,plain,
    ( quotient(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c) != product(difference(quotient(c,b),quotient(a,c)),c)
    | quotient(product(a,product(c,b)),c) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(a,product(c,b))) )],[refute_0_2634,refute_0_15261]) ).

cnf(refute_0_15263,plain,
    quotient(product(a,product(c,b)),c) = product(difference(quotient(c,b),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(difference(quotient(c,b),quotient(a,c)),c),c),c),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_15260,refute_0_15262]) ).

cnf(refute_0_15264,plain,
    difference(c,product(c,quotient(product(a,product(c,b)),c))) = quotient(product(a,product(c,b)),c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_15265,plain,
    ( difference(c,product(c,quotient(product(a,product(c,b)),c))) != quotient(product(a,product(c,b)),c)
    | product(c,quotient(product(a,product(c,b)),c)) != bigC(a,a,c)
    | difference(c,bigC(a,a,c)) = quotient(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(product(a,product(c,b)),c))),quotient(product(a,product(c,b)),c)) ),[0,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_15266,plain,
    ( difference(c,product(c,quotient(product(a,product(c,b)),c))) != quotient(product(a,product(c,b)),c)
    | difference(c,bigC(a,a,c)) = quotient(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,product(c,b)),c)),bigC(a,a,c)) )],[refute_0_15197,refute_0_15265]) ).

cnf(refute_0_15267,plain,
    difference(c,bigC(a,a,c)) = quotient(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(product(a,product(c,b)),c))),quotient(product(a,product(c,b)),c)) )],[refute_0_15264,refute_0_15266]) ).

cnf(refute_0_15268,plain,
    ( difference(c,bigC(a,a,c)) != quotient(product(a,product(c,b)),c)
    | quotient(product(a,product(c,b)),c) = difference(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,bigC(a,a,c)))),bind(Y,$fot(quotient(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_15269,plain,
    quotient(product(a,product(c,b)),c) = difference(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),quotient(product(a,product(c,b)),c)) )],[refute_0_15267,refute_0_15268]) ).

cnf(refute_0_15270,plain,
    ( quotient(product(a,product(c,b)),c) != difference(c,bigC(a,a,c))
    | quotient(product(a,product(c,b)),c) != product(difference(quotient(c,b),quotient(a,c)),c)
    | difference(c,bigC(a,a,c)) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(c,b)),c),product(difference(quotient(c,b),quotient(a,c)),c)) ),[0],$fot(difference(c,bigC(a,a,c)))]]) ).

cnf(refute_0_15271,plain,
    ( quotient(product(a,product(c,b)),c) != product(difference(quotient(c,b),quotient(a,c)),c)
    | difference(c,bigC(a,a,c)) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),c),difference(c,bigC(a,a,c))) )],[refute_0_15269,refute_0_15270]) ).

cnf(refute_0_15272,plain,
    difference(c,bigC(a,a,c)) = product(difference(quotient(c,b),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),c),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_15263,refute_0_15271]) ).

cnf(refute_0_15273,plain,
    ( difference(c,bigC(a,a,c)) != product(difference(quotient(c,b),quotient(a,c)),c)
    | product(difference(quotient(c,b),quotient(a,c)),c) = difference(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,bigC(a,a,c)))),bind(Y,$fot(product(difference(quotient(c,b),quotient(a,c)),c)))]]) ).

cnf(refute_0_15274,plain,
    product(difference(quotient(c,b),quotient(a,c)),c) = difference(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_15272,refute_0_15273]) ).

cnf(refute_0_15275,plain,
    ( product(difference(quotient(c,b),quotient(a,c)),c) != difference(c,bigC(a,a,c))
    | product(difference(quotient(c,b),quotient(a,c)),c) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | difference(c,bigC(a,a,c)) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) ),[0],$fot(difference(c,bigC(a,a,c)))]]) ).

cnf(refute_0_15276,plain,
    ( product(difference(quotient(c,b),quotient(a,c)),c) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | difference(c,bigC(a,a,c)) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),difference(c,bigC(a,a,c))) )],[refute_0_15274,refute_0_15275]) ).

cnf(refute_0_15277,plain,
    difference(c,bigC(a,a,c)) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15259,refute_0_15276]) ).

cnf(refute_0_15278,plain,
    product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))))]]) ).

cnf(refute_0_15279,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) != product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c)))
    | product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))),product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15280,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))),product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c)))) )],[refute_0_15278,refute_0_15279]) ).

cnf(refute_0_15281,plain,
    product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_15280]) ).

cnf(refute_0_15282,plain,
    product(quotient(c,b),difference(c,product(a,c))) = product(quotient(c,b),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(c,b),difference(c,product(a,c))))]]) ).

cnf(refute_0_15283,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(quotient(c,b),difference(c,product(a,c))) != product(quotient(c,b),difference(c,product(a,c)))
    | product(quotient(c,b),difference(c,product(a,c))) = product(quotient(c,b),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),difference(c,product(a,c))),product(quotient(c,b),difference(c,product(a,c)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15284,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(quotient(c,b),difference(c,product(a,c))) = product(quotient(c,b),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(c,product(a,c))),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_15282,refute_0_15283]) ).

cnf(refute_0_15285,plain,
    product(quotient(c,b),difference(c,product(a,c))) = product(quotient(c,b),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_15284]) ).

cnf(refute_0_15286,plain,
    product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))))]]) ).

cnf(refute_0_15287,plain,
    ( product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | product(quotient(c,b),difference(c,product(a,c))) != product(quotient(c,b),difference(b,c))
    | product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) ),[1,0],$fot(product(quotient(c,b),difference(b,c)))]]) ).

cnf(refute_0_15288,plain,
    ( product(quotient(c,b),difference(c,product(a,c))) != product(quotient(c,b),difference(b,c))
    | product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15286,refute_0_15287]) ).

cnf(refute_0_15289,plain,
    product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(c,product(a,c))),product(quotient(c,b),difference(b,c))) )],[refute_0_15285,refute_0_15288]) ).

cnf(refute_0_15290,plain,
    ( product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) != product(product(quotient(c,b),difference(b,c)),difference(b,c))
    | product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) != product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c)))
    | product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))))),bind(Y,$fot(product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))))),bind(Z,$fot(product(product(quotient(c,b),difference(b,c)),difference(b,c))))]]) ).

cnf(refute_0_15291,plain,
    ( product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))) != product(product(quotient(c,b),difference(b,c)),difference(b,c))
    | product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c)))) )],[refute_0_15289,refute_0_15290]) ).

cnf(refute_0_15292,plain,
    product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) = product(product(quotient(c,b),difference(b,c)),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(c,product(a,c))),product(product(quotient(c,b),difference(b,c)),difference(b,c))) )],[refute_0_15281,refute_0_15291]) ).

cnf(refute_0_15293,plain,
    ( difference(c,bigC(a,a,c)) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))) != product(product(quotient(c,b),difference(b,c)),difference(b,c))
    | difference(c,bigC(a,a,c)) = product(product(quotient(c,b),difference(b,c)),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(a,a,c)),product(product(quotient(c,b),difference(b,c)),difference(b,c))) ),[0],$fot(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))))]]) ).

cnf(refute_0_15294,plain,
    ( difference(c,bigC(a,a,c)) != product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))
    | difference(c,bigC(a,a,c)) = product(product(quotient(c,b),difference(b,c)),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c))),product(product(quotient(c,b),difference(b,c)),difference(b,c))) )],[refute_0_15292,refute_0_15293]) ).

cnf(refute_0_15295,plain,
    difference(c,bigC(a,a,c)) = product(product(quotient(c,b),difference(b,c)),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),product(product(quotient(c,b),difference(c,product(a,c))),difference(c,product(a,c)))) )],[refute_0_15277,refute_0_15294]) ).

cnf(refute_0_15296,plain,
    difference(product(product(quotient(c,a),a),a),a) = product(a,product(a,quotient(c,a))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(quotient(c,a))),bind(X_16,$fot(a))]]) ).

cnf(refute_0_15297,plain,
    ( difference(product(product(quotient(c,a),a),a),a) != product(a,product(a,quotient(c,a)))
    | product(a,quotient(c,a)) != difference(b,c)
    | difference(product(product(quotient(c,a),a),a),a) = product(a,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(c,a),a),a),a),product(a,product(a,quotient(c,a)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15298,plain,
    ( difference(product(product(quotient(c,a),a),a),a) != product(a,product(a,quotient(c,a)))
    | difference(product(product(quotient(c,a),a),a),a) = product(a,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_15297]) ).

cnf(refute_0_15299,plain,
    difference(product(product(quotient(c,a),a),a),a) = product(a,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,a),a),a),a),product(a,product(a,quotient(c,a)))) )],[refute_0_15296,refute_0_15298]) ).

cnf(refute_0_15300,plain,
    product(a,product(a,quotient(c,a))) = difference(product(c,a),a),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(c)),bind(X_20,$fot(a))]]) ).

cnf(refute_0_15301,plain,
    ( difference(product(product(quotient(c,a),a),a),a) != product(a,product(a,quotient(c,a)))
    | product(a,product(a,quotient(c,a))) != difference(product(c,a),a)
    | difference(product(product(quotient(c,a),a),a),a) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(quotient(c,a),a),a),a))),bind(Y,$fot(product(a,product(a,quotient(c,a))))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_15302,plain,
    ( product(a,product(a,quotient(c,a))) != difference(product(c,a),a)
    | difference(product(product(quotient(c,a),a),a),a) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,a),a),a),a),product(a,product(a,quotient(c,a)))) )],[refute_0_15296,refute_0_15301]) ).

cnf(refute_0_15303,plain,
    difference(product(product(quotient(c,a),a),a),a) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(product(a,product(a,quotient(c,a))),difference(product(c,a),a)) )],[refute_0_15300,refute_0_15302]) ).

cnf(refute_0_15304,plain,
    ( difference(product(product(quotient(c,a),a),a),a) != difference(product(c,a),a)
    | difference(product(product(quotient(c,a),a),a),a) != product(a,difference(b,c))
    | difference(product(c,a),a) = product(a,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(c,a),a),a),a),product(a,difference(b,c))) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_15305,plain,
    ( difference(product(product(quotient(c,a),a),a),a) != product(a,difference(b,c))
    | difference(product(c,a),a) = product(a,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,a),a),a),a),difference(product(c,a),a)) )],[refute_0_15303,refute_0_15304]) ).

cnf(refute_0_15306,plain,
    difference(product(c,a),a) = product(a,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,a),a),a),a),product(a,difference(b,c))) )],[refute_0_15299,refute_0_15305]) ).

cnf(refute_0_15307,plain,
    ( difference(product(c,a),a) != product(a,difference(b,c))
    | product(a,difference(b,c)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(product(a,difference(b,c))))]]) ).

cnf(refute_0_15308,plain,
    product(a,difference(b,c)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),product(a,difference(b,c))) )],[refute_0_15306,refute_0_15307]) ).

cnf(refute_0_15309,plain,
    difference(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_15310,plain,
    ( difference(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))
    | product(product(c,b),quotient(product(a,c),product(c,b))) != product(b,a)
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))) ),[0,0,0],$fot(product(b,a))]]) ).

cnf(refute_0_15311,plain,
    ( difference(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(product(a,c),product(c,b))),product(b,a)) )],[refute_0_9058,refute_0_15310]) ).

cnf(refute_0_15312,plain,
    difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,b),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))) )],[refute_0_15309,refute_0_15311]) ).

cnf(refute_0_15313,plain,
    product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_15314,plain,
    ( product(quotient(product(a,c),product(c,b)),product(c,b)) != product(a,c)
    | product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))
    | product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))),product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_15315,plain,
    ( product(quotient(product(a,c),product(c,b)),product(c,b)) != product(a,c)
    | product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))),product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))) )],[refute_0_15313,refute_0_15314]) ).

cnf(refute_0_15316,plain,
    product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(c,b)),product(a,c)) )],[refute_0_9034,refute_0_15315]) ).

cnf(refute_0_15317,plain,
    ( difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))
    | product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(quotient(product(a,c),product(c,b)),product(a,c))) ),[0],$fot(product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))))]]) ).

cnf(refute_0_15318,plain,
    ( difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b))),product(quotient(product(a,c),product(c,b)),product(a,c))) )],[refute_0_15316,refute_0_15317]) ).

cnf(refute_0_15319,plain,
    difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = product(quotient(product(a,c),product(c,b)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(quotient(product(a,c),product(c,b)),product(quotient(product(a,c),product(c,b)),product(c,b)))) )],[refute_0_15312,refute_0_15318]) ).

cnf(refute_0_15320,plain,
    difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_15321,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) != difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b)))
    | quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b)))) ),[1,1],$fot(difference(product(c,b),product(b,a)))]]) ).

cnf(refute_0_15322,plain,
    ( quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b)))) )],[refute_0_15320,refute_0_15321]) ).

cnf(refute_0_15323,plain,
    difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),difference(product(c,b),product(b,a))) )],[refute_0_9063,refute_0_15322]) ).

cnf(refute_0_15324,plain,
    difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_15325,plain,
    ( difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))
    | product(product(b,a),quotient(product(a,c),product(c,b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) ),[1,0],$fot(product(product(b,a),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_15326,plain,
    ( product(product(b,a),quotient(product(a,c),product(c,b))) != product(product(b,a),difference(product(c,b),product(b,a)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b)))) )],[refute_0_15324,refute_0_15325]) ).

cnf(refute_0_15327,plain,
    difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(a,c),product(c,b))),product(product(b,a),difference(product(c,b),product(b,a)))) )],[refute_0_12518,refute_0_15326]) ).

cnf(refute_0_15328,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) != difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))))),bind(Y,$fot(difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))))),bind(Z,$fot(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_15329,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))) != difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b)))) )],[refute_0_15327,refute_0_15328]) ).

cnf(refute_0_15330,plain,
    difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))) )],[refute_0_15323,refute_0_15329]) ).

cnf(refute_0_15331,plain,
    ( difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))
    | difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = product(quotient(product(a,c),product(c,b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(quotient(product(a,c),product(c,b)),product(a,c))) ),[0],$fot(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_15332,plain,
    ( difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = product(quotient(product(a,c),product(c,b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))) )],[refute_0_15330,refute_0_15331]) ).

cnf(refute_0_15333,plain,
    product(quotient(product(a,c),product(c,b)),product(a,c)) = product(quotient(product(a,c),product(c,b)),product(a,c)),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,c),product(c,b)),product(a,c)))]]) ).

cnf(refute_0_15334,plain,
    ( product(quotient(product(a,c),product(c,b)),product(a,c)) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(quotient(product(a,c),product(c,b)),product(a,c)) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(a,c)),product(quotient(product(a,c),product(c,b)),product(a,c))) ),[1,0],$fot(difference(product(c,b),product(b,a)))]]) ).

cnf(refute_0_15335,plain,
    ( quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | product(quotient(product(a,c),product(c,b)),product(a,c)) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(a,c)),product(quotient(product(a,c),product(c,b)),product(a,c))) )],[refute_0_15333,refute_0_15334]) ).

cnf(refute_0_15336,plain,
    product(quotient(product(a,c),product(c,b)),product(a,c)) = product(difference(product(c,b),product(b,a)),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),difference(product(c,b),product(b,a))) )],[refute_0_9063,refute_0_15335]) ).

cnf(refute_0_15337,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | product(quotient(product(a,c),product(c,b)),product(a,c)) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),product(difference(product(c,b),product(b,a)),product(a,c))) ),[0],$fot(product(quotient(product(a,c),product(c,b)),product(a,c)))]]) ).

cnf(refute_0_15338,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(a,c)),product(difference(product(c,b),product(b,a)),product(a,c))) )],[refute_0_15336,refute_0_15337]) ).

cnf(refute_0_15339,plain,
    ( difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))) != product(quotient(product(a,c),product(c,b)),product(a,c))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),product(quotient(product(a,c),product(c,b)),product(a,c))) )],[refute_0_15332,refute_0_15338]) ).

cnf(refute_0_15340,plain,
    difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),quotient(product(a,c),product(c,b))),quotient(product(a,c),product(c,b))),product(quotient(product(a,c),product(c,b)),product(a,c))) )],[refute_0_15319,refute_0_15339]) ).

cnf(refute_0_15341,plain,
    difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_15342,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) != difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))
    | product(product(b,a),difference(product(c,b),product(b,a))) != difference(b,difference(c,product(b,c)))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))) ),[1,0],$fot(difference(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_15343,plain,
    ( product(product(b,a),difference(product(c,b),product(b,a))) != difference(b,difference(c,product(b,c)))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a)))) )],[refute_0_15341,refute_0_15342]) ).

cnf(refute_0_15344,plain,
    difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(c,b),product(b,a))),difference(b,difference(c,product(b,c)))) )],[refute_0_14111,refute_0_15343]) ).

cnf(refute_0_15345,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) != difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a)))
    | difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),product(difference(product(c,b),product(b,a)),product(a,c))) ),[0],$fot(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_15346,plain,
    ( difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a)))) )],[refute_0_15344,refute_0_15345]) ).

cnf(refute_0_15347,plain,
    difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = product(difference(product(c,b),product(b,a)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,a),difference(product(c,b),product(b,a))),difference(product(c,b),product(b,a))),product(difference(product(c,b),product(b,a)),product(a,c))) )],[refute_0_15340,refute_0_15346]) ).

cnf(refute_0_15348,plain,
    difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_15349,plain,
    ( difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) != difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a)))
    | difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a)))) ),[1,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_15350,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a)))) )],[refute_0_15348,refute_0_15349]) ).

cnf(refute_0_15351,plain,
    difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) = difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_15350]) ).

cnf(refute_0_15352,plain,
    ( difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) != difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c))
    | difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),product(difference(product(c,b),product(b,a)),product(a,c))) ),[0],$fot(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_15353,plain,
    ( difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(difference(product(c,b),product(b,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c))) )],[refute_0_15351,refute_0_15352]) ).

cnf(refute_0_15354,plain,
    product(difference(product(c,b),product(b,a)),product(a,c)) = product(difference(product(c,b),product(b,a)),product(a,c)),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),product(b,a)),product(a,c)))]]) ).

cnf(refute_0_15355,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(difference(product(c,b),product(b,a)),product(a,c)) != product(difference(product(c,b),product(b,a)),product(a,c))
    | product(difference(product(c,b),product(b,a)),product(a,c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(a,c)),product(difference(product(c,b),product(b,a)),product(a,c))) ),[1,0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_15356,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(difference(product(c,b),product(b,a)),product(a,c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(a,c)),product(difference(product(c,b),product(b,a)),product(a,c))) )],[refute_0_15354,refute_0_15355]) ).

cnf(refute_0_15357,plain,
    product(difference(product(c,b),product(b,a)),product(a,c)) = product(quotient(bigC(a,a,c),c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_15356]) ).

cnf(refute_0_15358,plain,
    ( difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != product(difference(product(c,b),product(b,a)),product(a,c))
    | product(difference(product(c,b),product(b,a)),product(a,c)) != product(quotient(bigC(a,a,c),c),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),product(quotient(bigC(a,a,c),c),product(a,c))) ),[0],$fot(product(difference(product(c,b),product(b,a)),product(a,c)))]]) ).

cnf(refute_0_15359,plain,
    ( difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(b,a)),product(a,c)),product(quotient(bigC(a,a,c),c),product(a,c))) )],[refute_0_15357,refute_0_15358]) ).

cnf(refute_0_15360,plain,
    ( difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))) != product(difference(product(c,b),product(b,a)),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),product(difference(product(c,b),product(b,a)),product(a,c))) )],[refute_0_15353,refute_0_15359]) ).

cnf(refute_0_15361,plain,
    difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(bigC(a,a,c),c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),difference(product(c,b),product(b,a))),product(difference(product(c,b),product(b,a)),product(a,c))) )],[refute_0_15347,refute_0_15360]) ).

cnf(refute_0_15362,plain,
    difference(quotient(c,b),difference(product(c,quotient(c,b)),quotient(c,b))) = product(quotient(c,b),quotient(c,quotient(c,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(quotient(c,b))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_15363,plain,
    ( difference(quotient(c,b),difference(product(c,quotient(c,b)),quotient(c,b))) != product(quotient(c,b),quotient(c,quotient(c,b)))
    | product(c,quotient(c,b)) != product(b,a)
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = product(quotient(c,b),quotient(c,quotient(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,b),difference(product(c,quotient(c,b)),quotient(c,b))),product(quotient(c,b),quotient(c,quotient(c,b)))) ),[0,1,0],$fot(product(b,a))]]) ).

cnf(refute_0_15364,plain,
    ( difference(quotient(c,b),difference(product(c,quotient(c,b)),quotient(c,b))) != product(quotient(c,b),quotient(c,quotient(c,b)))
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = product(quotient(c,b),quotient(c,quotient(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,b)),product(b,a)) )],[refute_0_13332,refute_0_15363]) ).

cnf(refute_0_15365,plain,
    difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = product(quotient(c,b),quotient(c,quotient(c,b))),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),difference(product(c,quotient(c,b)),quotient(c,b))),product(quotient(c,b),quotient(c,quotient(c,b)))) )],[refute_0_15362,refute_0_15364]) ).

cnf(refute_0_15366,plain,
    quotient(c,difference(c,product(b,a))) = quotient(c,difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(quotient(c,difference(c,product(b,a))))]]) ).

cnf(refute_0_15367,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | quotient(c,difference(c,product(b,a))) != quotient(c,difference(c,product(b,a)))
    | quotient(c,difference(c,product(b,a))) = quotient(c,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,difference(c,product(b,a))),quotient(c,difference(c,product(b,a)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_15368,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | quotient(c,difference(c,product(b,a))) = quotient(c,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),quotient(c,difference(c,product(b,a)))) )],[refute_0_15366,refute_0_15367]) ).

cnf(refute_0_15369,plain,
    quotient(c,difference(c,product(b,a))) = quotient(c,quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_15368]) ).

cnf(refute_0_15370,plain,
    ( difference(c,product(a,c)) != quotient(c,difference(c,product(b,a)))
    | quotient(c,difference(c,product(b,a))) != quotient(c,quotient(c,b))
    | difference(c,product(a,c)) = quotient(c,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,product(a,c)),quotient(c,quotient(c,b))) ),[0],$fot(quotient(c,difference(c,product(b,a))))]]) ).

cnf(refute_0_15371,plain,
    ( difference(c,product(a,c)) != quotient(c,difference(c,product(b,a)))
    | difference(c,product(a,c)) = quotient(c,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),quotient(c,quotient(c,b))) )],[refute_0_15369,refute_0_15370]) ).

cnf(refute_0_15372,plain,
    difference(c,product(a,c)) = quotient(c,quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),quotient(c,difference(c,product(b,a)))) )],[refute_0_1978,refute_0_15371]) ).

cnf(refute_0_15373,plain,
    ( difference(c,product(a,c)) != quotient(c,quotient(c,b))
    | quotient(c,quotient(c,b)) = difference(c,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,c)))),bind(Y,$fot(quotient(c,quotient(c,b))))]]) ).

cnf(refute_0_15374,plain,
    quotient(c,quotient(c,b)) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),quotient(c,quotient(c,b))) )],[refute_0_15372,refute_0_15373]) ).

cnf(refute_0_15375,plain,
    product(quotient(c,b),quotient(c,quotient(c,b))) = product(quotient(c,b),quotient(c,quotient(c,b))),
    introduced(tautology,[refl,[$fot(product(quotient(c,b),quotient(c,quotient(c,b))))]]) ).

cnf(refute_0_15376,plain,
    ( product(quotient(c,b),quotient(c,quotient(c,b))) != product(quotient(c,b),quotient(c,quotient(c,b)))
    | quotient(c,quotient(c,b)) != difference(c,product(a,c))
    | product(quotient(c,b),quotient(c,quotient(c,b))) = product(quotient(c,b),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),quotient(c,quotient(c,b))),product(quotient(c,b),quotient(c,quotient(c,b)))) ),[1,1],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_15377,plain,
    ( quotient(c,quotient(c,b)) != difference(c,product(a,c))
    | product(quotient(c,b),quotient(c,quotient(c,b))) = product(quotient(c,b),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),quotient(c,quotient(c,b))),product(quotient(c,b),quotient(c,quotient(c,b)))) )],[refute_0_15375,refute_0_15376]) ).

cnf(refute_0_15378,plain,
    product(quotient(c,b),quotient(c,quotient(c,b))) = product(quotient(c,b),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(c,quotient(c,b)),difference(c,product(a,c))) )],[refute_0_15374,refute_0_15377]) ).

cnf(refute_0_15379,plain,
    ( difference(quotient(c,b),difference(product(b,a),quotient(c,b))) != product(quotient(c,b),quotient(c,quotient(c,b)))
    | product(quotient(c,b),quotient(c,quotient(c,b))) != product(quotient(c,b),difference(c,product(a,c)))
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = product(quotient(c,b),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),product(quotient(c,b),difference(c,product(a,c)))) ),[0],$fot(product(quotient(c,b),quotient(c,quotient(c,b))))]]) ).

cnf(refute_0_15380,plain,
    ( difference(quotient(c,b),difference(product(b,a),quotient(c,b))) != product(quotient(c,b),quotient(c,quotient(c,b)))
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = product(quotient(c,b),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),quotient(c,quotient(c,b))),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_15378,refute_0_15379]) ).

cnf(refute_0_15381,plain,
    difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = product(quotient(c,b),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),product(quotient(c,b),quotient(c,quotient(c,b)))) )],[refute_0_15365,refute_0_15380]) ).

cnf(refute_0_15382,plain,
    difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = difference(quotient(c,b),difference(product(b,a),quotient(c,b))),
    introduced(tautology,[refl,[$fot(difference(quotient(c,b),difference(product(b,a),quotient(c,b))))]]) ).

cnf(refute_0_15383,plain,
    ( difference(product(b,a),quotient(c,b)) != quotient(bigC(a,a,c),c)
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) != difference(quotient(c,b),difference(product(b,a),quotient(c,b)))
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = difference(quotient(c,b),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),difference(quotient(c,b),difference(product(b,a),quotient(c,b)))) ),[1,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_15384,plain,
    ( difference(product(b,a),quotient(c,b)) != quotient(bigC(a,a,c),c)
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = difference(quotient(c,b),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),difference(quotient(c,b),difference(product(b,a),quotient(c,b)))) )],[refute_0_15382,refute_0_15383]) ).

cnf(refute_0_15385,plain,
    difference(quotient(c,b),difference(product(b,a),quotient(c,b))) = difference(quotient(c,b),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),quotient(bigC(a,a,c),c)) )],[refute_0_12243,refute_0_15384]) ).

cnf(refute_0_15386,plain,
    ( difference(quotient(c,b),difference(product(b,a),quotient(c,b))) != difference(quotient(c,b),quotient(bigC(a,a,c),c))
    | difference(quotient(c,b),difference(product(b,a),quotient(c,b))) != product(quotient(c,b),difference(c,product(a,c)))
    | difference(quotient(c,b),quotient(bigC(a,a,c),c)) = product(quotient(c,b),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),product(quotient(c,b),difference(c,product(a,c)))) ),[0],$fot(difference(quotient(c,b),quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_15387,plain,
    ( difference(quotient(c,b),difference(product(b,a),quotient(c,b))) != product(quotient(c,b),difference(c,product(a,c)))
    | difference(quotient(c,b),quotient(bigC(a,a,c),c)) = product(quotient(c,b),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),difference(quotient(c,b),quotient(bigC(a,a,c),c))) )],[refute_0_15385,refute_0_15386]) ).

cnf(refute_0_15388,plain,
    difference(quotient(c,b),quotient(bigC(a,a,c),c)) = product(quotient(c,b),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),difference(product(b,a),quotient(c,b))),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_15381,refute_0_15387]) ).

cnf(refute_0_15389,plain,
    difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_15390,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = difference(quotient(c,b),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c))) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_15391,plain,
    ( difference(b,difference(c,product(b,c))) != quotient(c,b)
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = difference(quotient(c,b),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c))) )],[refute_0_15389,refute_0_15390]) ).

cnf(refute_0_15392,plain,
    difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = difference(quotient(c,b),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_15391]) ).

cnf(refute_0_15393,plain,
    ( difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != difference(quotient(c,b),quotient(bigC(a,a,c),c))
    | difference(quotient(c,b),quotient(bigC(a,a,c),c)) != product(quotient(c,b),difference(c,product(a,c)))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(c,b),difference(c,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)))),bind(Y,$fot(difference(quotient(c,b),quotient(bigC(a,a,c),c)))),bind(Z,$fot(product(quotient(c,b),difference(c,product(a,c)))))]]) ).

cnf(refute_0_15394,plain,
    ( difference(quotient(c,b),quotient(bigC(a,a,c),c)) != product(quotient(c,b),difference(c,product(a,c)))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(c,b),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),difference(quotient(c,b),quotient(bigC(a,a,c),c))) )],[refute_0_15392,refute_0_15393]) ).

cnf(refute_0_15395,plain,
    difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) = product(quotient(c,b),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),quotient(bigC(a,a,c),c)),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_15388,refute_0_15394]) ).

cnf(refute_0_15396,plain,
    ( difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != product(quotient(bigC(a,a,c),c),product(a,c))
    | difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != product(quotient(c,b),difference(c,product(a,c)))
    | product(quotient(c,b),difference(c,product(a,c))) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),product(quotient(bigC(a,a,c),c),product(a,c))) ),[0],$fot(product(quotient(c,b),difference(c,product(a,c))))]]) ).

cnf(refute_0_15397,plain,
    ( difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)) != product(quotient(bigC(a,a,c),c),product(a,c))
    | product(quotient(c,b),difference(c,product(a,c))) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),product(quotient(c,b),difference(c,product(a,c)))) )],[refute_0_15395,refute_0_15396]) ).

cnf(refute_0_15398,plain,
    product(quotient(c,b),difference(c,product(a,c))) = product(quotient(bigC(a,a,c),c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(difference(b,difference(c,product(b,c))),quotient(bigC(a,a,c),c)),product(quotient(bigC(a,a,c),c),product(a,c))) )],[refute_0_15361,refute_0_15397]) ).

cnf(refute_0_15399,plain,
    ( product(quotient(c,b),difference(c,product(a,c))) != product(quotient(bigC(a,a,c),c),product(a,c))
    | product(quotient(c,b),difference(c,product(a,c))) != product(quotient(c,b),difference(b,c))
    | product(quotient(c,b),difference(b,c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),difference(c,product(a,c))),product(quotient(bigC(a,a,c),c),product(a,c))) ),[0],$fot(product(quotient(c,b),difference(b,c)))]]) ).

cnf(refute_0_15400,plain,
    ( product(quotient(c,b),difference(c,product(a,c))) != product(quotient(bigC(a,a,c),c),product(a,c))
    | product(quotient(c,b),difference(b,c)) = product(quotient(bigC(a,a,c),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(c,product(a,c))),product(quotient(c,b),difference(b,c))) )],[refute_0_15285,refute_0_15399]) ).

cnf(refute_0_15401,plain,
    product(quotient(c,b),difference(b,c)) = product(quotient(bigC(a,a,c),c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(c,product(a,c))),product(quotient(bigC(a,a,c),c),product(a,c))) )],[refute_0_15398,refute_0_15400]) ).

cnf(refute_0_15402,plain,
    product(product(product(difference(c,product(b,c)),a),a),product(a,product(a,difference(c,product(b,c))))) = a,
    inference(subst,[],[sos07:[bind(A,$fot(difference(c,product(b,c)))),bind(B,$fot(a))]]) ).

cnf(refute_0_15403,plain,
    ( product(a,difference(c,product(b,c))) != c
    | product(product(product(difference(c,product(b,c)),a),a),product(a,product(a,difference(c,product(b,c))))) != a
    | product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = a ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,product(a,difference(c,product(b,c))))),a) ),[0,1,1],$fot(c)]]) ).

cnf(refute_0_15404,plain,
    ( product(product(product(difference(c,product(b,c)),a),a),product(a,product(a,difference(c,product(b,c))))) != a
    | product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = a ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,c))),c) )],[refute_0_13628,refute_0_15403]) ).

cnf(refute_0_15405,plain,
    product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = a,
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,product(a,difference(c,product(b,c))))),a) )],[refute_0_15402,refute_0_15404]) ).

cnf(refute_0_15406,plain,
    ( difference(b,difference(c,product(b,c))) != product(difference(c,product(b,c)),a)
    | difference(b,difference(c,product(b,c))) != quotient(c,b)
    | quotient(c,b) = product(difference(c,product(b,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,difference(c,product(b,c))),product(difference(c,product(b,c)),a)) ),[0],$fot(quotient(c,b))]]) ).

cnf(refute_0_15407,plain,
    ( difference(b,difference(c,product(b,c))) != product(difference(c,product(b,c)),a)
    | quotient(c,b) = product(difference(c,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),quotient(c,b)) )],[refute_0_13342,refute_0_15406]) ).

cnf(refute_0_15408,plain,
    quotient(c,b) = product(difference(c,product(b,c)),a),
    inference(resolve,[$cnf( $equal(difference(b,difference(c,product(b,c))),product(difference(c,product(b,c)),a)) )],[refute_0_13471,refute_0_15407]) ).

cnf(refute_0_15409,plain,
    ( quotient(c,b) != product(difference(c,product(b,c)),a)
    | product(difference(c,product(b,c)),a) = quotient(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(c,b))),bind(Y,$fot(product(difference(c,product(b,c)),a)))]]) ).

cnf(refute_0_15410,plain,
    product(difference(c,product(b,c)),a) = quotient(c,b),
    inference(resolve,[$cnf( $equal(quotient(c,b),product(difference(c,product(b,c)),a)) )],[refute_0_15408,refute_0_15409]) ).

cnf(refute_0_15411,plain,
    product(product(difference(c,product(b,c)),a),a) = product(product(difference(c,product(b,c)),a),a),
    introduced(tautology,[refl,[$fot(product(product(difference(c,product(b,c)),a),a))]]) ).

cnf(refute_0_15412,plain,
    ( product(difference(c,product(b,c)),a) != quotient(c,b)
    | product(product(difference(c,product(b,c)),a),a) != product(product(difference(c,product(b,c)),a),a)
    | product(product(difference(c,product(b,c)),a),a) = product(quotient(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(b,c)),a),a),product(product(difference(c,product(b,c)),a),a)) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_15413,plain,
    ( product(difference(c,product(b,c)),a) != quotient(c,b)
    | product(product(difference(c,product(b,c)),a),a) = product(quotient(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),a),a),product(product(difference(c,product(b,c)),a),a)) )],[refute_0_15411,refute_0_15412]) ).

cnf(refute_0_15414,plain,
    product(product(difference(c,product(b,c)),a),a) = product(quotient(c,b),a),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),a),quotient(c,b)) )],[refute_0_15410,refute_0_15413]) ).

cnf(refute_0_15415,plain,
    product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = product(product(product(difference(c,product(b,c)),a),a),product(a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(difference(c,product(b,c)),a),a),product(a,c)))]]) ).

cnf(refute_0_15416,plain,
    ( product(product(difference(c,product(b,c)),a),a) != product(quotient(c,b),a)
    | product(product(product(difference(c,product(b,c)),a),a),product(a,c)) != product(product(product(difference(c,product(b,c)),a),a),product(a,c))
    | product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = product(product(quotient(c,b),a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,c)),product(product(product(difference(c,product(b,c)),a),a),product(a,c))) ),[1,0],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_15417,plain,
    ( product(product(difference(c,product(b,c)),a),a) != product(quotient(c,b),a)
    | product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = product(product(quotient(c,b),a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,c)),product(product(product(difference(c,product(b,c)),a),a),product(a,c))) )],[refute_0_15415,refute_0_15416]) ).

cnf(refute_0_15418,plain,
    product(product(product(difference(c,product(b,c)),a),a),product(a,c)) = product(product(quotient(c,b),a),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(b,c)),a),a),product(quotient(c,b),a)) )],[refute_0_15414,refute_0_15417]) ).

cnf(refute_0_15419,plain,
    ( product(product(product(difference(c,product(b,c)),a),a),product(a,c)) != a
    | product(product(product(difference(c,product(b,c)),a),a),product(a,c)) != product(product(quotient(c,b),a),product(a,c))
    | product(product(quotient(c,b),a),product(a,c)) = a ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,c)),a) ),[0],$fot(product(product(quotient(c,b),a),product(a,c)))]]) ).

cnf(refute_0_15420,plain,
    ( product(product(product(difference(c,product(b,c)),a),a),product(a,c)) != a
    | product(product(quotient(c,b),a),product(a,c)) = a ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,c)),product(product(quotient(c,b),a),product(a,c))) )],[refute_0_15418,refute_0_15419]) ).

cnf(refute_0_15421,plain,
    product(product(quotient(c,b),a),product(a,c)) = a,
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,product(b,c)),a),a),product(a,c)),a) )],[refute_0_15405,refute_0_15420]) ).

cnf(refute_0_15422,plain,
    product(quotient(bigC(a,a,c),c),product(a,c)) = product(quotient(bigC(a,a,c),c),product(a,c)),
    introduced(tautology,[refl,[$fot(product(quotient(bigC(a,a,c),c),product(a,c)))]]) ).

cnf(refute_0_15423,plain,
    ( product(quotient(bigC(a,a,c),c),product(a,c)) != product(quotient(bigC(a,a,c),c),product(a,c))
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(quotient(bigC(a,a,c),c),product(a,c)) = product(product(quotient(c,b),a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(bigC(a,a,c),c),product(a,c)),product(quotient(bigC(a,a,c),c),product(a,c))) ),[1,0],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_15424,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(quotient(bigC(a,a,c),c),product(a,c)) = product(product(quotient(c,b),a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(a,a,c),c),product(a,c)),product(quotient(bigC(a,a,c),c),product(a,c))) )],[refute_0_15422,refute_0_15423]) ).

cnf(refute_0_15425,plain,
    product(quotient(bigC(a,a,c),c),product(a,c)) = product(product(quotient(c,b),a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_15424]) ).

cnf(refute_0_15426,plain,
    ( product(product(quotient(c,b),a),product(a,c)) != a
    | product(quotient(bigC(a,a,c),c),product(a,c)) != product(product(quotient(c,b),a),product(a,c))
    | product(quotient(bigC(a,a,c),c),product(a,c)) = a ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(bigC(a,a,c),c),product(a,c)))),bind(Y,$fot(product(product(quotient(c,b),a),product(a,c)))),bind(Z,$fot(a))]]) ).

cnf(refute_0_15427,plain,
    ( product(product(quotient(c,b),a),product(a,c)) != a
    | product(quotient(bigC(a,a,c),c),product(a,c)) = a ),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(a,a,c),c),product(a,c)),product(product(quotient(c,b),a),product(a,c))) )],[refute_0_15425,refute_0_15426]) ).

cnf(refute_0_15428,plain,
    product(quotient(bigC(a,a,c),c),product(a,c)) = a,
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),a),product(a,c)),a) )],[refute_0_15421,refute_0_15427]) ).

cnf(refute_0_15429,plain,
    ( product(quotient(bigC(a,a,c),c),product(a,c)) != a
    | product(quotient(c,b),difference(b,c)) != product(quotient(bigC(a,a,c),c),product(a,c))
    | product(quotient(c,b),difference(b,c)) = a ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,b),difference(b,c)),product(quotient(bigC(a,a,c),c),product(a,c))) ),[1],$fot(a)]]) ).

cnf(refute_0_15430,plain,
    ( product(quotient(c,b),difference(b,c)) != product(quotient(bigC(a,a,c),c),product(a,c))
    | product(quotient(c,b),difference(b,c)) = a ),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(a,a,c),c),product(a,c)),a) )],[refute_0_15428,refute_0_15429]) ).

cnf(refute_0_15431,plain,
    product(quotient(c,b),difference(b,c)) = a,
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(b,c)),product(quotient(bigC(a,a,c),c),product(a,c))) )],[refute_0_15401,refute_0_15430]) ).

cnf(refute_0_15432,plain,
    product(product(quotient(c,b),difference(b,c)),difference(b,c)) = product(product(quotient(c,b),difference(b,c)),difference(b,c)),
    introduced(tautology,[refl,[$fot(product(product(quotient(c,b),difference(b,c)),difference(b,c)))]]) ).

cnf(refute_0_15433,plain,
    ( product(product(quotient(c,b),difference(b,c)),difference(b,c)) != product(product(quotient(c,b),difference(b,c)),difference(b,c))
    | product(quotient(c,b),difference(b,c)) != a
    | product(product(quotient(c,b),difference(b,c)),difference(b,c)) = product(a,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(b,c)),product(product(quotient(c,b),difference(b,c)),difference(b,c))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_15434,plain,
    ( product(quotient(c,b),difference(b,c)) != a
    | product(product(quotient(c,b),difference(b,c)),difference(b,c)) = product(a,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(b,c)),product(product(quotient(c,b),difference(b,c)),difference(b,c))) )],[refute_0_15432,refute_0_15433]) ).

cnf(refute_0_15435,plain,
    product(product(quotient(c,b),difference(b,c)),difference(b,c)) = product(a,difference(b,c)),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),difference(b,c)),a) )],[refute_0_15431,refute_0_15434]) ).

cnf(refute_0_15436,plain,
    ( product(a,difference(b,c)) != difference(product(c,a),a)
    | product(product(quotient(c,b),difference(b,c)),difference(b,c)) != product(a,difference(b,c))
    | product(product(quotient(c,b),difference(b,c)),difference(b,c)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(c,b),difference(b,c)),difference(b,c)))),bind(Y,$fot(product(a,difference(b,c)))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_15437,plain,
    ( product(a,difference(b,c)) != difference(product(c,a),a)
    | product(product(quotient(c,b),difference(b,c)),difference(b,c)) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(b,c)),product(a,difference(b,c))) )],[refute_0_15435,refute_0_15436]) ).

cnf(refute_0_15438,plain,
    product(product(quotient(c,b),difference(b,c)),difference(b,c)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(product(a,difference(b,c)),difference(product(c,a),a)) )],[refute_0_15308,refute_0_15437]) ).

cnf(refute_0_15439,plain,
    ( difference(c,bigC(a,a,c)) != product(product(quotient(c,b),difference(b,c)),difference(b,c))
    | product(product(quotient(c,b),difference(b,c)),difference(b,c)) != difference(product(c,a),a)
    | difference(c,bigC(a,a,c)) = difference(product(c,a),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(a,a,c)),difference(product(c,a),a)) ),[0],$fot(product(product(quotient(c,b),difference(b,c)),difference(b,c)))]]) ).

cnf(refute_0_15440,plain,
    ( difference(c,bigC(a,a,c)) != product(product(quotient(c,b),difference(b,c)),difference(b,c))
    | difference(c,bigC(a,a,c)) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,b),difference(b,c)),difference(b,c)),difference(product(c,a),a)) )],[refute_0_15438,refute_0_15439]) ).

cnf(refute_0_15441,plain,
    difference(c,bigC(a,a,c)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),product(product(quotient(c,b),difference(b,c)),difference(b,c))) )],[refute_0_15295,refute_0_15440]) ).

cnf(refute_0_15442,plain,
    ( difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(c,bigC(a,a,c)) != product(c,quotient(difference(c,product(a,product(c,b))),c))
    | difference(product(c,a),a) = product(c,quotient(difference(c,product(a,product(c,b))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,a,c)),product(c,quotient(difference(c,product(a,product(c,b))),c))) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_15443,plain,
    ( difference(c,bigC(a,a,c)) != product(c,quotient(difference(c,product(a,product(c,b))),c))
    | difference(product(c,a),a) = product(c,quotient(difference(c,product(a,product(c,b))),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),difference(product(c,a),a)) )],[refute_0_15441,refute_0_15442]) ).

cnf(refute_0_15444,plain,
    difference(product(c,a),a) = product(c,quotient(difference(c,product(a,product(c,b))),c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),product(c,quotient(difference(c,product(a,product(c,b))),c))) )],[refute_0_15242,refute_0_15443]) ).

cnf(refute_0_15445,plain,
    ( difference(product(c,a),a) != product(c,quotient(difference(c,product(a,product(c,b))),c))
    | product(c,quotient(difference(c,product(a,product(c,b))),c)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(product(c,quotient(difference(c,product(a,product(c,b))),c))))]]) ).

cnf(refute_0_15446,plain,
    product(c,quotient(difference(c,product(a,product(c,b))),c)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),product(c,quotient(difference(c,product(a,product(c,b))),c))) )],[refute_0_15444,refute_0_15445]) ).

cnf(refute_0_15447,plain,
    ( difference(c,product(c,quotient(difference(c,product(a,product(c,b))),c))) != quotient(difference(c,product(a,product(c,b))),c)
    | product(c,quotient(difference(c,product(a,product(c,b))),c)) != difference(product(c,a),a)
    | difference(c,difference(product(c,a),a)) = quotient(difference(c,product(a,product(c,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),quotient(difference(c,product(a,product(c,b))),c)) ),[0,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_15448,plain,
    ( difference(c,product(c,quotient(difference(c,product(a,product(c,b))),c))) != quotient(difference(c,product(a,product(c,b))),c)
    | difference(c,difference(product(c,a),a)) = quotient(difference(c,product(a,product(c,b))),c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(c,product(a,product(c,b))),c)),difference(product(c,a),a)) )],[refute_0_15446,refute_0_15447]) ).

cnf(refute_0_15449,plain,
    difference(c,difference(product(c,a),a)) = quotient(difference(c,product(a,product(c,b))),c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),quotient(difference(c,product(a,product(c,b))),c)) )],[refute_0_14319,refute_0_15448]) ).

cnf(refute_0_15450,plain,
    ( difference(c,difference(product(c,a),a)) != quotient(difference(c,product(a,product(c,b))),c)
    | quotient(difference(c,product(a,product(c,b))),c) = difference(c,difference(product(c,a),a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,difference(product(c,a),a)))),bind(Y,$fot(quotient(difference(c,product(a,product(c,b))),c)))]]) ).

cnf(refute_0_15451,plain,
    quotient(difference(c,product(a,product(c,b))),c) = difference(c,difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(c,product(a,product(c,b))),c)) )],[refute_0_15449,refute_0_15450]) ).

cnf(refute_0_15452,plain,
    product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) = product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15453,plain,
    ( product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) != product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b))))
    | quotient(difference(c,product(a,product(c,b))),c) != difference(c,difference(product(c,a),a))
    | product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) = product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b))))) ),[1,0],$fot(difference(c,difference(product(c,a),a)))]]) ).

cnf(refute_0_15454,plain,
    ( quotient(difference(c,product(a,product(c,b))),c) != difference(c,difference(product(c,a),a))
    | product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) = product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b))))) )],[refute_0_15452,refute_0_15453]) ).

cnf(refute_0_15455,plain,
    product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) = product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),c),difference(c,difference(product(c,a),a))) )],[refute_0_15451,refute_0_15454]) ).

cnf(refute_0_15456,plain,
    difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),
    introduced(tautology,[refl,[$fot(difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15457,plain,
    ( difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))
    | product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) != product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b))))
    | difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))) ),[1,0],$fot(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15458,plain,
    ( product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))) != product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b))))
    | difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))) )],[refute_0_15456,refute_0_15457]) ).

cnf(refute_0_15459,plain,
    difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b))))) )],[refute_0_15455,refute_0_15458]) ).

cnf(refute_0_15460,plain,
    ( difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))
    | difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))) ),[0],$fot(difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15461,plain,
    ( difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))) )],[refute_0_15459,refute_0_15460]) ).

cnf(refute_0_15462,plain,
    product(c,difference(c,product(a,product(c,b)))) = product(a,product(c,b)),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_15463,plain,
    product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))) = difference(c,product(a,product(c,b))),
    inference(subst,[],[sos06:[bind(A,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15464,plain,
    product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),
    introduced(tautology,[refl,[$fot(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))))]]) ).

cnf(refute_0_15465,plain,
    ( product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) != product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))
    | product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))) != difference(c,product(a,product(c,b)))
    | product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(c,difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))) ),[1,1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15466,plain,
    ( product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))) != difference(c,product(a,product(c,b)))
    | product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(c,difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))) )],[refute_0_15464,refute_0_15465]) ).

cnf(refute_0_15467,plain,
    product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(c,difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) )],[refute_0_15463,refute_0_15466]) ).

cnf(refute_0_15468,plain,
    ( product(c,difference(c,product(a,product(c,b)))) != product(a,product(c,b))
    | product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) != product(c,difference(c,product(a,product(c,b))))
    | product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))))),bind(Y,$fot(product(c,difference(c,product(a,product(c,b)))))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_15469,plain,
    ( product(c,difference(c,product(a,product(c,b)))) != product(a,product(c,b))
    | product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),product(c,difference(c,product(a,product(c,b))))) )],[refute_0_15467,refute_0_15468]) ).

cnf(refute_0_15470,plain,
    product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(a,product(c,b)))),product(a,product(c,b))) )],[refute_0_15462,refute_0_15469]) ).

cnf(refute_0_15471,plain,
    bigC(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,quotient(c,product(a,quotient(a,c))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(c)),bind(X_22,$fot(product(a,quotient(a,c))))]]) ).

cnf(refute_0_15472,plain,
    ( bigC(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c)),X_23) != product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))
    | quotient(c,product(a,quotient(a,c))) != difference(c,product(a,product(c,b)))
    | bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c)),X_23),product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))) ),[0,0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15473,plain,
    ( bigC(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c)),X_23) != product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))
    | bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,quotient(a,c))),difference(c,product(a,product(c,b)))) )],[refute_0_14312,refute_0_15472]) ).

cnf(refute_0_15474,plain,
    bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,quotient(c,product(a,quotient(a,c))))),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,product(a,quotient(a,c))),product(a,quotient(a,c)),X_23),product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))) )],[refute_0_15471,refute_0_15473]) ).

cnf(refute_0_15475,plain,
    product(X_23,quotient(c,product(a,quotient(a,c)))) = product(X_23,quotient(c,product(a,quotient(a,c)))),
    introduced(tautology,[refl,[$fot(product(X_23,quotient(c,product(a,quotient(a,c)))))]]) ).

cnf(refute_0_15476,plain,
    ( product(X_23,quotient(c,product(a,quotient(a,c)))) != product(X_23,quotient(c,product(a,quotient(a,c))))
    | quotient(c,product(a,quotient(a,c))) != difference(c,product(a,product(c,b)))
    | product(X_23,quotient(c,product(a,quotient(a,c)))) = product(X_23,difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,quotient(c,product(a,quotient(a,c)))),product(X_23,quotient(c,product(a,quotient(a,c))))) ),[1,1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15477,plain,
    ( quotient(c,product(a,quotient(a,c))) != difference(c,product(a,product(c,b)))
    | product(X_23,quotient(c,product(a,quotient(a,c)))) = product(X_23,difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(X_23,quotient(c,product(a,quotient(a,c)))),product(X_23,quotient(c,product(a,quotient(a,c))))) )],[refute_0_15475,refute_0_15476]) ).

cnf(refute_0_15478,plain,
    product(X_23,quotient(c,product(a,quotient(a,c)))) = product(X_23,difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(c,product(a,quotient(a,c))),difference(c,product(a,product(c,b)))) )],[refute_0_14312,refute_0_15477]) ).

cnf(refute_0_15479,plain,
    product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) = product(c,product(X_23,quotient(c,product(a,quotient(a,c))))),
    introduced(tautology,[refl,[$fot(product(c,product(X_23,quotient(c,product(a,quotient(a,c))))))]]) ).

cnf(refute_0_15480,plain,
    ( product(X_23,quotient(c,product(a,quotient(a,c)))) != product(X_23,difference(c,product(a,product(c,b))))
    | product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) != product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))
    | product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) = product(c,product(X_23,difference(c,product(a,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_23,quotient(c,product(a,quotient(a,c))))),product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))) ),[1,1],$fot(product(X_23,difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15481,plain,
    ( product(X_23,quotient(c,product(a,quotient(a,c)))) != product(X_23,difference(c,product(a,product(c,b))))
    | product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) = product(c,product(X_23,difference(c,product(a,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,quotient(c,product(a,quotient(a,c))))),product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))) )],[refute_0_15479,refute_0_15480]) ).

cnf(refute_0_15482,plain,
    product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) = product(c,product(X_23,difference(c,product(a,product(c,b))))),
    inference(resolve,[$cnf( $equal(product(X_23,quotient(c,product(a,quotient(a,c)))),product(X_23,difference(c,product(a,product(c,b))))) )],[refute_0_15478,refute_0_15481]) ).

cnf(refute_0_15483,plain,
    ( bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) != product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))
    | product(c,product(X_23,quotient(c,product(a,quotient(a,c))))) != product(c,product(X_23,difference(c,product(a,product(c,b)))))
    | bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,difference(c,product(a,product(c,b))))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23),product(c,product(X_23,difference(c,product(a,product(c,b)))))) ),[0],$fot(product(c,product(X_23,quotient(c,product(a,quotient(a,c))))))]]) ).

cnf(refute_0_15484,plain,
    ( bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) != product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))
    | bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,difference(c,product(a,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_23,quotient(c,product(a,quotient(a,c))))),product(c,product(X_23,difference(c,product(a,product(c,b)))))) )],[refute_0_15482,refute_0_15483]) ).

cnf(refute_0_15485,plain,
    bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23) = product(c,product(X_23,difference(c,product(a,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),X_23),product(c,product(X_23,quotient(c,product(a,quotient(a,c)))))) )],[refute_0_15474,refute_0_15484]) ).

cnf(refute_0_15486,plain,
    bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b)))) = product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),
    inference(subst,[],[refute_0_15485:[bind(X_23,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15487,plain,
    bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b)))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(c,product(a,product(c,b))))),bind(B,$fot(product(a,quotient(a,c)))),bind(C,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15488,plain,
    ( bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) != bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b))))
    | bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b)))) != product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))
    | bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))))),bind(Y,$fot(bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b)))))),bind(Z,$fot(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))))]]) ).

cnf(refute_0_15489,plain,
    ( bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b)))) != product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))
    | bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))),bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b))))) )],[refute_0_15487,refute_0_15488]) ).

cnf(refute_0_15490,plain,
    bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,product(c,b))),product(a,quotient(a,c)),difference(c,product(a,product(c,b)))),product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))) )],[refute_0_15486,refute_0_15489]) ).

cnf(refute_0_15491,plain,
    ( bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) != product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))
    | product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) != product(a,product(c,b))
    | bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))))),bind(Y,$fot(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_15492,plain,
    ( product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))) != product(a,product(c,b))
    | bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))),product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b)))))) )],[refute_0_15490,refute_0_15491]) ).

cnf(refute_0_15493,plain,
    bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))))),product(a,product(c,b))) )],[refute_0_15470,refute_0_15492]) ).

cnf(refute_0_15494,plain,
    ( bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))) != product(a,product(c,b))
    | difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))) ),[1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_15495,plain,
    ( difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c))),product(a,product(c,b))) )],[refute_0_15493,refute_0_15494]) ).

cnf(refute_0_15496,plain,
    ( difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))
    | difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))) )],[refute_0_15461,refute_0_15495]) ).

cnf(refute_0_15497,plain,
    difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(difference(c,product(a,product(c,b))),c),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),bigC(difference(c,product(a,product(c,b))),difference(c,product(a,product(c,b))),product(a,quotient(a,c)))) )],[refute_0_14318,refute_0_15496]) ).

cnf(refute_0_15498,plain,
    ( difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))) != product(a,product(c,b))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))) != difference(c,product(a,product(c,b)))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))),difference(c,product(a,product(c,b)))) ),[0,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_15499,plain,
    ( product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))) != difference(c,product(a,product(c,b)))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b)))),product(a,product(c,b))) )],[refute_0_15497,refute_0_15498]) ).

cnf(refute_0_15500,plain,
    product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),difference(c,product(a,product(c,b))))),difference(c,product(a,product(c,b)))) )],[refute_0_743,refute_0_15499]) ).

cnf(refute_0_15501,plain,
    product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),product(c,b)))) = quotient(c,a),
    inference(subst,[],[sos07:[bind(A,$fot(product(c,b))),bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15502,plain,
    difference(product(product(c,quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(quotient(c,a),c)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(c)),bind(X_16,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15503,plain,
    ( difference(product(product(c,quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),c))
    | product(c,quotient(c,a)) != product(a,b)
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(quotient(c,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) ),[0,0,0],$fot(product(a,b))]]) ).

cnf(refute_0_15504,plain,
    ( difference(product(product(c,quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),c))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_15503]) ).

cnf(refute_0_15505,plain,
    difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(quotient(c,a),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) )],[refute_0_15502,refute_0_15504]) ).

cnf(refute_0_15506,plain,
    difference(product(product(a,b),difference(c,product(a,b))),difference(c,product(a,b))) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(a,b))),bind(X_32,$fot(c))]]) ).

cnf(refute_0_15507,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | difference(product(product(a,b),difference(c,product(a,b))),difference(c,product(a,b))) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),difference(c,product(a,b))),difference(c,product(a,b))),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) ),[0,0,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_15508,plain,
    ( difference(product(product(a,b),difference(c,product(a,b))),difference(c,product(a,b))) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15507]) ).

cnf(refute_0_15509,plain,
    difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),difference(c,product(a,b))),difference(c,product(a,b))),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) )],[refute_0_15506,refute_0_15508]) ).

cnf(refute_0_15510,plain,
    difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))))]]) ).

cnf(refute_0_15511,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) != difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b)))
    | difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = difference(product(product(a,b),quotient(c,a)),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))),difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_15512,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = difference(product(product(a,b),quotient(c,a)),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))),difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b)))) )],[refute_0_15510,refute_0_15511]) ).

cnf(refute_0_15513,plain,
    difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) = difference(product(product(a,b),quotient(c,a)),quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15512]) ).

cnf(refute_0_15514,plain,
    ( difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) != difference(product(product(a,b),quotient(c,a)),quotient(c,a))
    | difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) ),[0],$fot(difference(product(product(a,b),quotient(c,a)),quotient(c,a)))]]) ).

cnf(refute_0_15515,plain,
    ( difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))),difference(product(product(a,b),quotient(c,a)),quotient(c,a))) )],[refute_0_15513,refute_0_15514]) ).

cnf(refute_0_15516,plain,
    difference(c,product(c,product(c,b))) = product(c,b),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_15517,plain,
    difference(c,product(product(a,b),c)) = difference(c,product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(product(a,b),c)))]]) ).

cnf(refute_0_15518,plain,
    ( difference(c,product(product(a,b),c)) != difference(c,product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(c,product(product(a,b),c)) = difference(c,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(a,b),c)),difference(c,product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_15519,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | difference(c,product(product(a,b),c)) = difference(c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,b),c)),difference(c,product(product(a,b),c))) )],[refute_0_15517,refute_0_15518]) ).

cnf(refute_0_15520,plain,
    difference(c,product(product(a,b),c)) = difference(c,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_15519]) ).

cnf(refute_0_15521,plain,
    ( difference(c,product(c,product(c,b))) != product(c,b)
    | difference(c,product(product(a,b),c)) != difference(c,product(c,product(c,b)))
    | difference(c,product(product(a,b),c)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(a,b),c)))),bind(Y,$fot(difference(c,product(c,product(c,b))))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_15522,plain,
    ( difference(c,product(c,product(c,b))) != product(c,b)
    | difference(c,product(product(a,b),c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,b),c)),difference(c,product(c,product(c,b)))) )],[refute_0_15520,refute_0_15521]) ).

cnf(refute_0_15523,plain,
    difference(c,product(product(a,b),c)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(c,b))),product(c,b)) )],[refute_0_15516,refute_0_15522]) ).

cnf(refute_0_15524,plain,
    product(quotient(c,a),difference(c,product(product(a,b),c))) = product(quotient(c,a),difference(c,product(product(a,b),c))),
    introduced(tautology,[refl,[$fot(product(quotient(c,a),difference(c,product(product(a,b),c))))]]) ).

cnf(refute_0_15525,plain,
    ( difference(c,product(product(a,b),c)) != product(c,b)
    | product(quotient(c,a),difference(c,product(product(a,b),c))) != product(quotient(c,a),difference(c,product(product(a,b),c)))
    | product(quotient(c,a),difference(c,product(product(a,b),c))) = product(quotient(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,a),difference(c,product(product(a,b),c))),product(quotient(c,a),difference(c,product(product(a,b),c)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_15526,plain,
    ( difference(c,product(product(a,b),c)) != product(c,b)
    | product(quotient(c,a),difference(c,product(product(a,b),c))) = product(quotient(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),difference(c,product(product(a,b),c))),product(quotient(c,a),difference(c,product(product(a,b),c)))) )],[refute_0_15524,refute_0_15525]) ).

cnf(refute_0_15527,plain,
    product(quotient(c,a),difference(c,product(product(a,b),c))) = product(quotient(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,b),c)),product(c,b)) )],[refute_0_15523,refute_0_15526]) ).

cnf(refute_0_15528,plain,
    product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))))]]) ).

cnf(refute_0_15529,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(quotient(c,a),difference(c,product(product(a,b),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15530,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(quotient(c,a),difference(c,product(product(a,b),c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) )],[refute_0_15528,refute_0_15529]) ).

cnf(refute_0_15531,plain,
    product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(quotient(c,a),difference(c,product(product(a,b),c))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15530]) ).

cnf(refute_0_15532,plain,
    ( product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) != product(quotient(c,a),difference(c,product(product(a,b),c)))
    | product(quotient(c,a),difference(c,product(product(a,b),c))) != product(quotient(c,a),product(c,b))
    | product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(quotient(c,a),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))))),bind(Y,$fot(product(quotient(c,a),difference(c,product(product(a,b),c))))),bind(Z,$fot(product(quotient(c,a),product(c,b))))]]) ).

cnf(refute_0_15533,plain,
    ( product(quotient(c,a),difference(c,product(product(a,b),c))) != product(quotient(c,a),product(c,b))
    | product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(quotient(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),product(quotient(c,a),difference(c,product(product(a,b),c)))) )],[refute_0_15531,refute_0_15532]) ).

cnf(refute_0_15534,plain,
    product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) = product(quotient(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),difference(c,product(product(a,b),c))),product(quotient(c,a),product(c,b))) )],[refute_0_15527,refute_0_15533]) ).

cnf(refute_0_15535,plain,
    ( difference(product(product(a,b),quotient(c,a)),quotient(c,a)) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | product(difference(c,product(a,b)),difference(c,product(product(a,b),c))) != product(quotient(c,a),product(c,b))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(c,b))) ),[0],$fot(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))))]]) ).

cnf(refute_0_15536,plain,
    ( difference(product(product(a,b),quotient(c,a)),quotient(c,a)) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),difference(c,product(product(a,b),c))),product(quotient(c,a),product(c,b))) )],[refute_0_15534,refute_0_15535]) ).

cnf(refute_0_15537,plain,
    ( difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))) != product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),quotient(c,a)),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) )],[refute_0_15515,refute_0_15536]) ).

cnf(refute_0_15538,plain,
    difference(product(product(a,b),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),difference(c,product(a,b))),product(difference(c,product(a,b)),difference(c,product(product(a,b),c)))) )],[refute_0_15509,refute_0_15537]) ).

cnf(refute_0_15539,plain,
    ( difference(product(product(a,b),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(c,b))
    | difference(product(product(a,b),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),c))
    | product(quotient(c,a),product(c,b)) = product(quotient(c,a),product(quotient(c,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) ),[0],$fot(product(quotient(c,a),product(c,b)))]]) ).

cnf(refute_0_15540,plain,
    ( difference(product(product(a,b),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),c))
    | product(quotient(c,a),product(c,b)) = product(quotient(c,a),product(quotient(c,a),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(c,b))) )],[refute_0_15538,refute_0_15539]) ).

cnf(refute_0_15541,plain,
    ( product(quotient(c,a),product(c,b)) != product(quotient(c,a),product(quotient(c,a),c))
    | product(quotient(c,a),product(quotient(c,a),c)) != product(product(a,b),b)
    | product(quotient(c,a),product(c,b)) = product(product(a,b),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(quotient(c,a),product(c,b)),product(product(a,b),b)) ),[0],$fot(product(quotient(c,a),product(quotient(c,a),c)))]]) ).

cnf(refute_0_15542,plain,
    ( product(quotient(c,a),product(c,b)) != product(quotient(c,a),product(quotient(c,a),c))
    | product(quotient(c,a),product(c,b)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),c)),product(product(a,b),b)) )],[refute_0_12421,refute_0_15541]) ).

cnf(refute_0_15543,plain,
    ( difference(product(product(a,b),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),c))
    | product(quotient(c,a),product(c,b)) = product(product(a,b),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(c,b)),product(quotient(c,a),product(quotient(c,a),c))) )],[refute_0_15540,refute_0_15542]) ).

cnf(refute_0_15544,plain,
    product(quotient(c,a),product(c,b)) = product(product(a,b),b),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),c))) )],[refute_0_15505,refute_0_15543]) ).

cnf(refute_0_15545,plain,
    ( product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),product(c,b)))) != quotient(c,a)
    | product(quotient(c,a),product(c,b)) != product(product(a,b),b)
    | product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),product(c,b)))),quotient(c,a)) ),[0,1,1],$fot(product(product(a,b),b))]]) ).

cnf(refute_0_15546,plain,
    ( product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),product(c,b)))) != quotient(c,a)
    | product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(c,b)),product(product(a,b),b)) )],[refute_0_15544,refute_0_15545]) ).

cnf(refute_0_15547,plain,
    product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),product(c,b)))),quotient(c,a)) )],[refute_0_15501,refute_0_15546]) ).

cnf(refute_0_15548,plain,
    bigC(quotient(c,a),c,quotient(c,a)) = product(product(quotient(c,a),c),quotient(c,a)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(quotient(c,a))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_15549,plain,
    ( bigC(quotient(c,a),c,quotient(c,a)) != product(product(quotient(c,a),c),quotient(c,a))
    | product(quotient(c,a),c) != product(c,b)
    | bigC(quotient(c,a),c,quotient(c,a)) = product(product(c,b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),c,quotient(c,a)),product(product(quotient(c,a),c),quotient(c,a))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_15550,plain,
    ( bigC(quotient(c,a),c,quotient(c,a)) != product(product(quotient(c,a),c),quotient(c,a))
    | bigC(quotient(c,a),c,quotient(c,a)) = product(product(c,b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),c),product(c,b)) )],[refute_0_12358,refute_0_15549]) ).

cnf(refute_0_15551,plain,
    bigC(quotient(c,a),c,quotient(c,a)) = product(product(c,b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),c,quotient(c,a)),product(product(quotient(c,a),c),quotient(c,a))) )],[refute_0_15548,refute_0_15550]) ).

cnf(refute_0_15552,plain,
    bigC(difference(c,product(a,b)),X_22,c) = product(product(difference(c,product(a,b)),X_22),product(a,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(a,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_15553,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | difference(c,product(a,b)) != quotient(c,a)
    | bigC(quotient(c,a),X_22,c) = product(product(difference(c,product(a,b)),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),product(product(difference(c,product(a,b)),X_22),product(a,b))) ),[0,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15554,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | bigC(quotient(c,a),X_22,c) = product(product(difference(c,product(a,b)),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15553]) ).

cnf(refute_0_15555,plain,
    bigC(quotient(c,a),X_22,c) = product(product(difference(c,product(a,b)),X_22),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),product(product(difference(c,product(a,b)),X_22),product(a,b))) )],[refute_0_15552,refute_0_15554]) ).

cnf(refute_0_15556,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | difference(c,product(a,b)) != quotient(c,a)
    | bigC(difference(c,product(a,b)),X_22,c) = product(product(quotient(c,a),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),product(product(difference(c,product(a,b)),X_22),product(a,b))) ),[1,0,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15557,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | bigC(difference(c,product(a,b)),X_22,c) = product(product(quotient(c,a),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15556]) ).

cnf(refute_0_15558,plain,
    bigC(difference(c,product(a,b)),X_22,c) = product(product(quotient(c,a),X_22),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),product(product(difference(c,product(a,b)),X_22),product(a,b))) )],[refute_0_15552,refute_0_15557]) ).

cnf(refute_0_15559,plain,
    bigC(difference(c,product(a,b)),X_22,c) = bigC(difference(c,product(a,b)),X_22,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,b)),X_22,c))]]) ).

cnf(refute_0_15560,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != bigC(difference(c,product(a,b)),X_22,c)
    | difference(c,product(a,b)) != quotient(c,a)
    | bigC(difference(c,product(a,b)),X_22,c) = bigC(quotient(c,a),X_22,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),bigC(difference(c,product(a,b)),X_22,c)) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15561,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | bigC(difference(c,product(a,b)),X_22,c) = bigC(quotient(c,a),X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),bigC(difference(c,product(a,b)),X_22,c)) )],[refute_0_15559,refute_0_15560]) ).

cnf(refute_0_15562,plain,
    bigC(difference(c,product(a,b)),X_22,c) = bigC(quotient(c,a),X_22,c),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15561]) ).

cnf(refute_0_15563,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != bigC(quotient(c,a),X_22,c)
    | bigC(difference(c,product(a,b)),X_22,c) != product(product(quotient(c,a),X_22),product(a,b))
    | bigC(quotient(c,a),X_22,c) = product(product(quotient(c,a),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),product(product(quotient(c,a),X_22),product(a,b))) ),[0],$fot(bigC(quotient(c,a),X_22,c))]]) ).

cnf(refute_0_15564,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != product(product(quotient(c,a),X_22),product(a,b))
    | bigC(quotient(c,a),X_22,c) = product(product(quotient(c,a),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),bigC(quotient(c,a),X_22,c)) )],[refute_0_15562,refute_0_15563]) ).

cnf(refute_0_15565,plain,
    product(product(quotient(c,a),X_22),product(a,b)) = product(c,product(X_22,b)),
    inference(subst,[],[refute_0_14256:[bind(A,$fot(c)),bind(X_64,$fot(a)),bind(X_65,$fot(X_22)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_15566,plain,
    ( bigC(quotient(c,a),X_22,c) != product(product(quotient(c,a),X_22),product(a,b))
    | product(product(quotient(c,a),X_22),product(a,b)) != product(c,product(X_22,b))
    | bigC(quotient(c,a),X_22,c) = product(c,product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(c,a),X_22,c),product(c,product(X_22,b))) ),[0],$fot(product(product(quotient(c,a),X_22),product(a,b)))]]) ).

cnf(refute_0_15567,plain,
    ( bigC(quotient(c,a),X_22,c) != product(product(quotient(c,a),X_22),product(a,b))
    | bigC(quotient(c,a),X_22,c) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),X_22),product(a,b)),product(c,product(X_22,b))) )],[refute_0_15565,refute_0_15566]) ).

cnf(refute_0_15568,plain,
    ( bigC(difference(c,product(a,b)),X_22,c) != product(product(quotient(c,a),X_22),product(a,b))
    | bigC(quotient(c,a),X_22,c) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),X_22,c),product(product(quotient(c,a),X_22),product(a,b))) )],[refute_0_15564,refute_0_15567]) ).

cnf(refute_0_15569,plain,
    bigC(quotient(c,a),X_22,c) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),X_22,c),product(product(quotient(c,a),X_22),product(a,b))) )],[refute_0_15558,refute_0_15568]) ).

cnf(refute_0_15570,plain,
    ( bigC(quotient(c,a),X_22,c) != product(c,product(X_22,b))
    | bigC(quotient(c,a),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | product(c,product(X_22,b)) = product(product(difference(c,product(a,b)),X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),X_22,c),product(product(difference(c,product(a,b)),X_22),product(a,b))) ),[0],$fot(product(c,product(X_22,b)))]]) ).

cnf(refute_0_15571,plain,
    ( bigC(quotient(c,a),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | product(c,product(X_22,b)) = product(product(difference(c,product(a,b)),X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),X_22,c),product(c,product(X_22,b))) )],[refute_0_15569,refute_0_15570]) ).

cnf(refute_0_15572,plain,
    bigC(difference(c,product(a,b)),c,X_22) = bigC(difference(c,product(a,b)),c,X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,b)),c,X_22))]]) ).

cnf(refute_0_15573,plain,
    ( bigC(difference(c,product(a,b)),c,X_22) != bigC(difference(c,product(a,b)),c,X_22)
    | difference(c,product(a,b)) != quotient(c,a)
    | bigC(difference(c,product(a,b)),c,X_22) = bigC(quotient(c,a),c,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,b)),c,X_22),bigC(difference(c,product(a,b)),c,X_22)) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15574,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | bigC(difference(c,product(a,b)),c,X_22) = bigC(quotient(c,a),c,X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),c,X_22),bigC(difference(c,product(a,b)),c,X_22)) )],[refute_0_15572,refute_0_15573]) ).

cnf(refute_0_15575,plain,
    bigC(difference(c,product(a,b)),c,X_22) = bigC(quotient(c,a),c,X_22),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15574]) ).

cnf(refute_0_15576,plain,
    product(product(difference(c,product(a,b)),X_22),product(a,b)) = bigC(difference(c,product(a,b)),c,X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(product(a,b))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_15577,plain,
    ( bigC(difference(c,product(a,b)),c,X_22) != bigC(quotient(c,a),c,X_22)
    | product(product(difference(c,product(a,b)),X_22),product(a,b)) != bigC(difference(c,product(a,b)),c,X_22)
    | product(product(difference(c,product(a,b)),X_22),product(a,b)) = bigC(quotient(c,a),c,X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,product(a,b)),X_22),product(a,b)))),bind(Y,$fot(bigC(difference(c,product(a,b)),c,X_22))),bind(Z,$fot(bigC(quotient(c,a),c,X_22)))]]) ).

cnf(refute_0_15578,plain,
    ( bigC(difference(c,product(a,b)),c,X_22) != bigC(quotient(c,a),c,X_22)
    | product(product(difference(c,product(a,b)),X_22),product(a,b)) = bigC(quotient(c,a),c,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,b)),X_22),product(a,b)),bigC(difference(c,product(a,b)),c,X_22)) )],[refute_0_15576,refute_0_15577]) ).

cnf(refute_0_15579,plain,
    product(product(difference(c,product(a,b)),X_22),product(a,b)) = bigC(quotient(c,a),c,X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,b)),c,X_22),bigC(quotient(c,a),c,X_22)) )],[refute_0_15575,refute_0_15578]) ).

cnf(refute_0_15580,plain,
    ( product(c,product(X_22,b)) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | product(product(difference(c,product(a,b)),X_22),product(a,b)) != bigC(quotient(c,a),c,X_22)
    | product(c,product(X_22,b)) = bigC(quotient(c,a),c,X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_22,b)),bigC(quotient(c,a),c,X_22)) ),[0],$fot(product(product(difference(c,product(a,b)),X_22),product(a,b)))]]) ).

cnf(refute_0_15581,plain,
    ( product(c,product(X_22,b)) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | product(c,product(X_22,b)) = bigC(quotient(c,a),c,X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,b)),X_22),product(a,b)),bigC(quotient(c,a),c,X_22)) )],[refute_0_15579,refute_0_15580]) ).

cnf(refute_0_15582,plain,
    ( bigC(quotient(c,a),X_22,c) != product(product(difference(c,product(a,b)),X_22),product(a,b))
    | product(c,product(X_22,b)) = bigC(quotient(c,a),c,X_22) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_22,b)),product(product(difference(c,product(a,b)),X_22),product(a,b))) )],[refute_0_15571,refute_0_15581]) ).

cnf(refute_0_15583,plain,
    product(c,product(X_22,b)) = bigC(quotient(c,a),c,X_22),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),X_22,c),product(product(difference(c,product(a,b)),X_22),product(a,b))) )],[refute_0_15555,refute_0_15582]) ).

cnf(refute_0_15584,plain,
    ( product(c,product(X_22,b)) != bigC(quotient(c,a),c,X_22)
    | bigC(quotient(c,a),c,X_22) = product(c,product(X_22,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(X_22,b)))),bind(Y,$fot(bigC(quotient(c,a),c,X_22)))]]) ).

cnf(refute_0_15585,plain,
    bigC(quotient(c,a),c,X_22) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(c,product(X_22,b)),bigC(quotient(c,a),c,X_22)) )],[refute_0_15583,refute_0_15584]) ).

cnf(refute_0_15586,plain,
    bigC(quotient(c,a),c,quotient(c,a)) = product(c,product(quotient(c,a),b)),
    inference(subst,[],[refute_0_15585:[bind(X_22,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15587,plain,
    ( bigC(quotient(c,a),c,quotient(c,a)) != product(c,product(quotient(c,a),b))
    | bigC(quotient(c,a),c,quotient(c,a)) != product(product(c,b),quotient(c,a))
    | product(c,product(quotient(c,a),b)) = product(product(c,b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),c,quotient(c,a)),product(product(c,b),quotient(c,a))) ),[0],$fot(product(c,product(quotient(c,a),b)))]]) ).

cnf(refute_0_15588,plain,
    ( bigC(quotient(c,a),c,quotient(c,a)) != product(product(c,b),quotient(c,a))
    | product(c,product(quotient(c,a),b)) = product(product(c,b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),c,quotient(c,a)),product(c,product(quotient(c,a),b))) )],[refute_0_15586,refute_0_15587]) ).

cnf(refute_0_15589,plain,
    product(c,product(quotient(c,a),b)) = product(product(c,b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),c,quotient(c,a)),product(product(c,b),quotient(c,a))) )],[refute_0_15551,refute_0_15588]) ).

cnf(refute_0_15590,plain,
    ( product(c,product(quotient(c,a),b)) != product(product(c,b),quotient(c,a))
    | product(product(c,b),quotient(c,a)) = product(c,product(quotient(c,a),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(quotient(c,a),b)))),bind(Y,$fot(product(product(c,b),quotient(c,a))))]]) ).

cnf(refute_0_15591,plain,
    product(product(c,b),quotient(c,a)) = product(c,product(quotient(c,a),b)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),b)),product(product(c,b),quotient(c,a))) )],[refute_0_15589,refute_0_15590]) ).

cnf(refute_0_15592,plain,
    product(product(product(c,b),quotient(c,a)),quotient(c,a)) = product(product(product(c,b),quotient(c,a)),quotient(c,a)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),quotient(c,a)),quotient(c,a)))]]) ).

cnf(refute_0_15593,plain,
    ( product(product(c,b),quotient(c,a)) != product(c,product(quotient(c,a),b))
    | product(product(product(c,b),quotient(c,a)),quotient(c,a)) != product(product(product(c,b),quotient(c,a)),quotient(c,a))
    | product(product(product(c,b),quotient(c,a)),quotient(c,a)) = product(product(c,product(quotient(c,a),b)),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(product(product(c,b),quotient(c,a)),quotient(c,a))) ),[1,0],$fot(product(c,product(quotient(c,a),b)))]]) ).

cnf(refute_0_15594,plain,
    ( product(product(c,b),quotient(c,a)) != product(c,product(quotient(c,a),b))
    | product(product(product(c,b),quotient(c,a)),quotient(c,a)) = product(product(c,product(quotient(c,a),b)),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(product(product(c,b),quotient(c,a)),quotient(c,a))) )],[refute_0_15592,refute_0_15593]) ).

cnf(refute_0_15595,plain,
    product(product(product(c,b),quotient(c,a)),quotient(c,a)) = product(product(c,product(quotient(c,a),b)),quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(c,a)),product(c,product(quotient(c,a),b))) )],[refute_0_15591,refute_0_15594]) ).

cnf(refute_0_15596,plain,
    product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))))]]) ).

cnf(refute_0_15597,plain,
    ( product(product(product(c,b),quotient(c,a)),quotient(c,a)) != product(product(c,product(quotient(c,a),b)),quotient(c,a))
    | product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))
    | product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) ),[1,0],$fot(product(product(c,product(quotient(c,a),b)),quotient(c,a)))]]) ).

cnf(refute_0_15598,plain,
    ( product(product(product(c,b),quotient(c,a)),quotient(c,a)) != product(product(c,product(quotient(c,a),b)),quotient(c,a))
    | product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) )],[refute_0_15596,refute_0_15597]) ).

cnf(refute_0_15599,plain,
    product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(product(c,product(quotient(c,a),b)),quotient(c,a))) )],[refute_0_15595,refute_0_15598]) ).

cnf(refute_0_15600,plain,
    ( product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))
    | product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != quotient(c,a)
    | product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),quotient(c,a)) ),[0],$fot(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))))]]) ).

cnf(refute_0_15601,plain,
    ( product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != quotient(c,a)
    | product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) )],[refute_0_15599,refute_0_15600]) ).

cnf(refute_0_15602,plain,
    product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),quotient(c,a)) )],[refute_0_15547,refute_0_15601]) ).

cnf(refute_0_15603,plain,
    difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(quotient(c,a),difference(b,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(difference(b,c))),bind(X_16,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15604,plain,
    bigC(quotient(c,a),quotient(c,a),a) = product(quotient(c,a),product(a,quotient(c,a))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(quotient(c,a))),bind(X_23,$fot(a))]]) ).

cnf(refute_0_15605,plain,
    ( bigC(quotient(c,a),quotient(c,a),a) != product(quotient(c,a),product(a,quotient(c,a)))
    | product(a,quotient(c,a)) != difference(b,c)
    | bigC(quotient(c,a),quotient(c,a),a) = product(quotient(c,a),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),a),product(quotient(c,a),product(a,quotient(c,a)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15606,plain,
    ( bigC(quotient(c,a),quotient(c,a),a) != product(quotient(c,a),product(a,quotient(c,a)))
    | bigC(quotient(c,a),quotient(c,a),a) = product(quotient(c,a),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_15605]) ).

cnf(refute_0_15607,plain,
    bigC(quotient(c,a),quotient(c,a),a) = product(quotient(c,a),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),a),product(quotient(c,a),product(a,quotient(c,a)))) )],[refute_0_15604,refute_0_15606]) ).

cnf(refute_0_15608,plain,
    bigC(quotient(c,a),a,quotient(c,a)) = product(c,quotient(c,a)),
    inference(subst,[],[refute_0_13860:[bind(X_58,$fot(c)),bind(X_59,$fot(a))]]) ).

cnf(refute_0_15609,plain,
    ( bigC(quotient(c,a),a,quotient(c,a)) != product(c,quotient(c,a))
    | product(c,quotient(c,a)) != product(a,b)
    | bigC(quotient(c,a),a,quotient(c,a)) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(c,a),a,quotient(c,a)))),bind(Y,$fot(product(c,quotient(c,a)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_15610,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | bigC(quotient(c,a),a,quotient(c,a)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),a,quotient(c,a)),product(c,quotient(c,a))) )],[refute_0_15608,refute_0_15609]) ).

cnf(refute_0_15611,plain,
    bigC(quotient(c,a),a,quotient(c,a)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_15610]) ).

cnf(refute_0_15612,plain,
    bigC(quotient(c,a),quotient(c,a),a) = bigC(quotient(c,a),a,quotient(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(quotient(c,a))),bind(B,$fot(a)),bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15613,plain,
    ( bigC(quotient(c,a),a,quotient(c,a)) != product(a,b)
    | bigC(quotient(c,a),quotient(c,a),a) != bigC(quotient(c,a),a,quotient(c,a))
    | bigC(quotient(c,a),quotient(c,a),a) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(c,a),quotient(c,a),a))),bind(Y,$fot(bigC(quotient(c,a),a,quotient(c,a)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_15614,plain,
    ( bigC(quotient(c,a),a,quotient(c,a)) != product(a,b)
    | bigC(quotient(c,a),quotient(c,a),a) = product(a,b) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),a),bigC(quotient(c,a),a,quotient(c,a))) )],[refute_0_15612,refute_0_15613]) ).

cnf(refute_0_15615,plain,
    bigC(quotient(c,a),quotient(c,a),a) = product(a,b),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),a,quotient(c,a)),product(a,b)) )],[refute_0_15611,refute_0_15614]) ).

cnf(refute_0_15616,plain,
    ( bigC(quotient(c,a),quotient(c,a),a) != product(a,b)
    | bigC(quotient(c,a),quotient(c,a),a) != product(quotient(c,a),difference(b,c))
    | product(a,b) = product(quotient(c,a),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),a),product(quotient(c,a),difference(b,c))) ),[0],$fot(product(a,b))]]) ).

cnf(refute_0_15617,plain,
    ( bigC(quotient(c,a),quotient(c,a),a) != product(quotient(c,a),difference(b,c))
    | product(a,b) = product(quotient(c,a),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),a),product(a,b)) )],[refute_0_15615,refute_0_15616]) ).

cnf(refute_0_15618,plain,
    product(a,b) = product(quotient(c,a),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),a),product(quotient(c,a),difference(b,c))) )],[refute_0_15607,refute_0_15617]) ).

cnf(refute_0_15619,plain,
    ( product(a,b) != product(quotient(c,a),difference(b,c))
    | product(quotient(c,a),difference(b,c)) = product(a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,b))),bind(Y,$fot(product(quotient(c,a),difference(b,c))))]]) ).

cnf(refute_0_15620,plain,
    product(quotient(c,a),difference(b,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(a,b),product(quotient(c,a),difference(b,c))) )],[refute_0_15618,refute_0_15619]) ).

cnf(refute_0_15621,plain,
    ( difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),difference(b,c)))
    | product(quotient(c,a),difference(b,c)) != product(a,b)
    | difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),difference(b,c)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_15622,plain,
    ( difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),difference(b,c)))
    | difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),difference(b,c)),product(a,b)) )],[refute_0_15620,refute_0_15621]) ).

cnf(refute_0_15623,plain,
    difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),difference(b,c)))) )],[refute_0_15603,refute_0_15622]) ).

cnf(refute_0_15624,plain,
    bigC(product(a,quotient(c,a)),b,C) = product(product(product(a,quotient(c,a)),b),product(C,product(a,quotient(c,a)))),
    inference(subst,[],[sos08:[bind(A,$fot(product(a,quotient(c,a)))),bind(B,$fot(b))]]) ).

cnf(refute_0_15625,plain,
    ( bigC(product(a,quotient(c,a)),b,C) != product(product(product(a,quotient(c,a)),b),product(C,product(a,quotient(c,a))))
    | product(product(a,quotient(c,a)),b) != quotient(c,a)
    | bigC(product(a,quotient(c,a)),b,C) = product(quotient(c,a),product(C,product(a,quotient(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),product(product(product(a,quotient(c,a)),b),product(C,product(a,quotient(c,a))))) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_15626,plain,
    ( bigC(product(a,quotient(c,a)),b,C) != product(product(product(a,quotient(c,a)),b),product(C,product(a,quotient(c,a))))
    | bigC(product(a,quotient(c,a)),b,C) = product(quotient(c,a),product(C,product(a,quotient(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),quotient(c,a)) )],[refute_0_12431,refute_0_15625]) ).

cnf(refute_0_15627,plain,
    bigC(product(a,quotient(c,a)),b,C) = product(quotient(c,a),product(C,product(a,quotient(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),product(product(product(a,quotient(c,a)),b),product(C,product(a,quotient(c,a))))) )],[refute_0_15624,refute_0_15626]) ).

cnf(refute_0_15628,plain,
    bigC(product(a,quotient(c,a)),b,C) = bigC(product(a,quotient(c,a)),b,C),
    introduced(tautology,[refl,[$fot(bigC(product(a,quotient(c,a)),b,C))]]) ).

cnf(refute_0_15629,plain,
    ( bigC(product(a,quotient(c,a)),b,C) != bigC(product(a,quotient(c,a)),b,C)
    | product(a,quotient(c,a)) != difference(b,c)
    | bigC(product(a,quotient(c,a)),b,C) = bigC(difference(b,c),b,C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),bigC(product(a,quotient(c,a)),b,C)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_15630,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | bigC(product(a,quotient(c,a)),b,C) = bigC(difference(b,c),b,C) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),bigC(product(a,quotient(c,a)),b,C)) )],[refute_0_15628,refute_0_15629]) ).

cnf(refute_0_15631,plain,
    bigC(product(a,quotient(c,a)),b,C) = bigC(difference(b,c),b,C),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_15630]) ).

cnf(refute_0_15632,plain,
    ( bigC(product(a,quotient(c,a)),b,C) != bigC(difference(b,c),b,C)
    | bigC(product(a,quotient(c,a)),b,C) != product(quotient(c,a),product(C,product(a,quotient(c,a))))
    | bigC(difference(b,c),b,C) = product(quotient(c,a),product(C,product(a,quotient(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),product(quotient(c,a),product(C,product(a,quotient(c,a))))) ),[0],$fot(bigC(difference(b,c),b,C))]]) ).

cnf(refute_0_15633,plain,
    ( bigC(product(a,quotient(c,a)),b,C) != product(quotient(c,a),product(C,product(a,quotient(c,a))))
    | bigC(difference(b,c),b,C) = product(quotient(c,a),product(C,product(a,quotient(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),bigC(difference(b,c),b,C)) )],[refute_0_15631,refute_0_15632]) ).

cnf(refute_0_15634,plain,
    product(C,product(a,quotient(c,a))) = product(C,product(a,quotient(c,a))),
    introduced(tautology,[refl,[$fot(product(C,product(a,quotient(c,a))))]]) ).

cnf(refute_0_15635,plain,
    ( product(C,product(a,quotient(c,a))) != product(C,product(a,quotient(c,a)))
    | product(a,quotient(c,a)) != difference(b,c)
    | product(C,product(a,quotient(c,a))) = product(C,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(a,quotient(c,a))),product(C,product(a,quotient(c,a)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15636,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(C,product(a,quotient(c,a))) = product(C,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(C,product(a,quotient(c,a))),product(C,product(a,quotient(c,a)))) )],[refute_0_15634,refute_0_15635]) ).

cnf(refute_0_15637,plain,
    product(C,product(a,quotient(c,a))) = product(C,difference(b,c)),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_15636]) ).

cnf(refute_0_15638,plain,
    product(quotient(c,a),product(C,product(a,quotient(c,a)))) = product(quotient(c,a),product(C,product(a,quotient(c,a)))),
    introduced(tautology,[refl,[$fot(product(quotient(c,a),product(C,product(a,quotient(c,a)))))]]) ).

cnf(refute_0_15639,plain,
    ( product(C,product(a,quotient(c,a))) != product(C,difference(b,c))
    | product(quotient(c,a),product(C,product(a,quotient(c,a)))) != product(quotient(c,a),product(C,product(a,quotient(c,a))))
    | product(quotient(c,a),product(C,product(a,quotient(c,a)))) = product(quotient(c,a),product(C,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,a),product(C,product(a,quotient(c,a)))),product(quotient(c,a),product(C,product(a,quotient(c,a))))) ),[1,1],$fot(product(C,difference(b,c)))]]) ).

cnf(refute_0_15640,plain,
    ( product(C,product(a,quotient(c,a))) != product(C,difference(b,c))
    | product(quotient(c,a),product(C,product(a,quotient(c,a)))) = product(quotient(c,a),product(C,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(C,product(a,quotient(c,a)))),product(quotient(c,a),product(C,product(a,quotient(c,a))))) )],[refute_0_15638,refute_0_15639]) ).

cnf(refute_0_15641,plain,
    product(quotient(c,a),product(C,product(a,quotient(c,a)))) = product(quotient(c,a),product(C,difference(b,c))),
    inference(resolve,[$cnf( $equal(product(C,product(a,quotient(c,a))),product(C,difference(b,c))) )],[refute_0_15637,refute_0_15640]) ).

cnf(refute_0_15642,plain,
    ( bigC(difference(b,c),b,C) != product(quotient(c,a),product(C,product(a,quotient(c,a))))
    | product(quotient(c,a),product(C,product(a,quotient(c,a)))) != product(quotient(c,a),product(C,difference(b,c)))
    | bigC(difference(b,c),b,C) = product(quotient(c,a),product(C,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),b,C),product(quotient(c,a),product(C,difference(b,c)))) ),[0],$fot(product(quotient(c,a),product(C,product(a,quotient(c,a)))))]]) ).

cnf(refute_0_15643,plain,
    ( bigC(difference(b,c),b,C) != product(quotient(c,a),product(C,product(a,quotient(c,a))))
    | bigC(difference(b,c),b,C) = product(quotient(c,a),product(C,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(C,product(a,quotient(c,a)))),product(quotient(c,a),product(C,difference(b,c)))) )],[refute_0_15641,refute_0_15642]) ).

cnf(refute_0_15644,plain,
    ( bigC(product(a,quotient(c,a)),b,C) != product(quotient(c,a),product(C,product(a,quotient(c,a))))
    | bigC(difference(b,c),b,C) = product(quotient(c,a),product(C,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,C),product(quotient(c,a),product(C,product(a,quotient(c,a))))) )],[refute_0_15633,refute_0_15643]) ).

cnf(refute_0_15645,plain,
    bigC(difference(b,c),b,C) = product(quotient(c,a),product(C,difference(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,quotient(c,a)),b,C),product(quotient(c,a),product(C,product(a,quotient(c,a))))) )],[refute_0_15627,refute_0_15644]) ).

cnf(refute_0_15646,plain,
    ( bigC(difference(b,c),b,C) != product(quotient(c,a),product(C,difference(b,c)))
    | product(quotient(c,a),product(C,difference(b,c))) = bigC(difference(b,c),b,C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(difference(b,c),b,C))),bind(Y,$fot(product(quotient(c,a),product(C,difference(b,c)))))]]) ).

cnf(refute_0_15647,plain,
    product(quotient(c,a),product(C,difference(b,c))) = bigC(difference(b,c),b,C),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,C),product(quotient(c,a),product(C,difference(b,c)))) )],[refute_0_15645,refute_0_15646]) ).

cnf(refute_0_15648,plain,
    product(quotient(c,a),product(quotient(c,a),difference(b,c))) = bigC(difference(b,c),b,quotient(c,a)),
    inference(subst,[],[refute_0_15647:[bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15649,plain,
    ( bigC(difference(b,c),b,quotient(c,a)) != product(product(a,c),b)
    | product(quotient(c,a),product(quotient(c,a),difference(b,c))) != bigC(difference(b,c),b,quotient(c,a))
    | product(quotient(c,a),product(quotient(c,a),difference(b,c))) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(c,a),product(quotient(c,a),difference(b,c))))),bind(Y,$fot(bigC(difference(b,c),b,quotient(c,a)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_15650,plain,
    ( bigC(difference(b,c),b,quotient(c,a)) != product(product(a,c),b)
    | product(quotient(c,a),product(quotient(c,a),difference(b,c))) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),difference(b,c))),bigC(difference(b,c),b,quotient(c,a))) )],[refute_0_15648,refute_0_15649]) ).

cnf(refute_0_15651,plain,
    product(quotient(c,a),product(quotient(c,a),difference(b,c))) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),b,quotient(c,a)),product(product(a,c),b)) )],[refute_0_13818,refute_0_15650]) ).

cnf(refute_0_15652,plain,
    ( difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(quotient(c,a),difference(b,c)))
    | product(quotient(c,a),product(quotient(c,a),difference(b,c))) != product(product(a,c),b)
    | difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)))),bind(Y,$fot(product(quotient(c,a),product(quotient(c,a),difference(b,c))))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_15653,plain,
    ( product(quotient(c,a),product(quotient(c,a),difference(b,c))) != product(product(a,c),b)
    | difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(quotient(c,a),difference(b,c)))) )],[refute_0_15603,refute_0_15652]) ).

cnf(refute_0_15654,plain,
    difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(quotient(c,a),difference(b,c))),product(product(a,c),b)) )],[refute_0_15651,refute_0_15653]) ).

cnf(refute_0_15655,plain,
    ( difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(product(a,c),b)
    | difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(a,b))
    | product(product(a,c),b) = product(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(a,b))) ),[0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15656,plain,
    ( difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(a,b))
    | product(product(a,c),b) = product(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)),product(product(a,c),b)) )],[refute_0_15654,refute_0_15655]) ).

cnf(refute_0_15657,plain,
    bigC(quotient(c,a),quotient(c,a),c) = product(quotient(c,a),product(c,quotient(c,a))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(quotient(c,a))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_15658,plain,
    ( bigC(quotient(c,a),quotient(c,a),c) != product(quotient(c,a),product(c,quotient(c,a)))
    | product(c,quotient(c,a)) != product(a,b)
    | bigC(quotient(c,a),quotient(c,a),c) = product(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),c),product(quotient(c,a),product(c,quotient(c,a)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_15659,plain,
    ( bigC(quotient(c,a),quotient(c,a),c) != product(quotient(c,a),product(c,quotient(c,a)))
    | bigC(quotient(c,a),quotient(c,a),c) = product(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_15658]) ).

cnf(refute_0_15660,plain,
    bigC(quotient(c,a),quotient(c,a),c) = product(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),c),product(quotient(c,a),product(c,quotient(c,a)))) )],[refute_0_15657,refute_0_15659]) ).

cnf(refute_0_15661,plain,
    bigC(quotient(c,a),quotient(c,a),c) = product(c,product(quotient(c,a),b)),
    inference(subst,[],[refute_0_15569:[bind(X_22,$fot(quotient(c,a)))]]) ).

cnf(refute_0_15662,plain,
    ( bigC(quotient(c,a),quotient(c,a),c) != product(c,product(quotient(c,a),b))
    | bigC(quotient(c,a),quotient(c,a),c) != product(quotient(c,a),product(a,b))
    | product(c,product(quotient(c,a),b)) = product(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),c),product(quotient(c,a),product(a,b))) ),[0],$fot(product(c,product(quotient(c,a),b)))]]) ).

cnf(refute_0_15663,plain,
    ( bigC(quotient(c,a),quotient(c,a),c) != product(quotient(c,a),product(a,b))
    | product(c,product(quotient(c,a),b)) = product(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),c),product(c,product(quotient(c,a),b))) )],[refute_0_15661,refute_0_15662]) ).

cnf(refute_0_15664,plain,
    product(c,product(quotient(c,a),b)) = product(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),quotient(c,a),c),product(quotient(c,a),product(a,b))) )],[refute_0_15660,refute_0_15663]) ).

cnf(refute_0_15665,plain,
    ( product(c,product(quotient(c,a),b)) != product(quotient(c,a),product(a,b))
    | product(quotient(c,a),product(a,b)) = product(c,product(quotient(c,a),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(quotient(c,a),b)))),bind(Y,$fot(product(quotient(c,a),product(a,b))))]]) ).

cnf(refute_0_15666,plain,
    product(quotient(c,a),product(a,b)) = product(c,product(quotient(c,a),b)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),b)),product(quotient(c,a),product(a,b))) )],[refute_0_15664,refute_0_15665]) ).

cnf(refute_0_15667,plain,
    ( product(product(a,c),b) != product(quotient(c,a),product(a,b))
    | product(quotient(c,a),product(a,b)) != product(c,product(quotient(c,a),b))
    | product(product(a,c),b) = product(c,product(quotient(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),b),product(c,product(quotient(c,a),b))) ),[0],$fot(product(quotient(c,a),product(a,b)))]]) ).

cnf(refute_0_15668,plain,
    ( product(product(a,c),b) != product(quotient(c,a),product(a,b))
    | product(product(a,c),b) = product(c,product(quotient(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(a,b)),product(c,product(quotient(c,a),b))) )],[refute_0_15666,refute_0_15667]) ).

cnf(refute_0_15669,plain,
    ( difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)) != product(quotient(c,a),product(a,b))
    | product(product(a,c),b) = product(c,product(quotient(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),b),product(quotient(c,a),product(a,b))) )],[refute_0_15656,refute_0_15668]) ).

cnf(refute_0_15670,plain,
    product(product(a,c),b) = product(c,product(quotient(c,a),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(difference(b,c),quotient(c,a)),quotient(c,a)),quotient(c,a)),product(quotient(c,a),product(a,b))) )],[refute_0_15623,refute_0_15669]) ).

cnf(refute_0_15671,plain,
    ( product(product(a,c),b) != product(c,product(quotient(c,a),b))
    | product(c,product(quotient(c,a),b)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,c),b))),bind(Y,$fot(product(c,product(quotient(c,a),b))))]]) ).

cnf(refute_0_15672,plain,
    product(c,product(quotient(c,a),b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),b),product(c,product(quotient(c,a),b))) )],[refute_0_15670,refute_0_15671]) ).

cnf(refute_0_15673,plain,
    product(product(c,product(quotient(c,a),b)),quotient(c,a)) = product(product(c,product(quotient(c,a),b)),quotient(c,a)),
    introduced(tautology,[refl,[$fot(product(product(c,product(quotient(c,a),b)),quotient(c,a)))]]) ).

cnf(refute_0_15674,plain,
    ( product(c,product(quotient(c,a),b)) != product(product(a,c),b)
    | product(product(c,product(quotient(c,a),b)),quotient(c,a)) != product(product(c,product(quotient(c,a),b)),quotient(c,a))
    | product(product(c,product(quotient(c,a),b)),quotient(c,a)) = product(product(product(a,c),b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(product(c,product(quotient(c,a),b)),quotient(c,a))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15675,plain,
    ( product(c,product(quotient(c,a),b)) != product(product(a,c),b)
    | product(product(c,product(quotient(c,a),b)),quotient(c,a)) = product(product(product(a,c),b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(product(c,product(quotient(c,a),b)),quotient(c,a))) )],[refute_0_15673,refute_0_15674]) ).

cnf(refute_0_15676,plain,
    product(product(c,product(quotient(c,a),b)),quotient(c,a)) = product(product(product(a,c),b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),b)),product(product(a,c),b)) )],[refute_0_15672,refute_0_15675]) ).

cnf(refute_0_15677,plain,
    product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))))]]) ).

cnf(refute_0_15678,plain,
    ( product(product(c,product(quotient(c,a),b)),quotient(c,a)) != product(product(product(a,c),b),quotient(c,a))
    | product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))
    | product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) ),[1,0],$fot(product(product(product(a,c),b),quotient(c,a)))]]) ).

cnf(refute_0_15679,plain,
    ( product(product(c,product(quotient(c,a),b)),quotient(c,a)) != product(product(product(a,c),b),quotient(c,a))
    | product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) )],[refute_0_15677,refute_0_15678]) ).

cnf(refute_0_15680,plain,
    product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(product(product(a,c),b),quotient(c,a))) )],[refute_0_15676,refute_0_15679]) ).

cnf(refute_0_15681,plain,
    ( product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))
    | product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != quotient(c,a)
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),quotient(c,a)) ),[0],$fot(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))))]]) ).

cnf(refute_0_15682,plain,
    ( product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != quotient(c,a)
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) )],[refute_0_15680,refute_0_15681]) ).

cnf(refute_0_15683,plain,
    product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(quotient(c,a),b)),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),quotient(c,a)) )],[refute_0_15602,refute_0_15682]) ).

cnf(refute_0_15684,plain,
    difference(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) = product(c,b),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_15685,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) != product(c,b)
    | product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | difference(bigC(a,b,b),product(c,bigC(b,b,c))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),product(c,b)) ),[0,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_15686,plain,
    ( difference(bigC(a,b,b),product(bigC(a,b,b),product(c,b))) != product(c,b)
    | difference(bigC(a,b,b),product(c,bigC(b,b,c))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_15685]) ).

cnf(refute_0_15687,plain,
    difference(bigC(a,b,b),product(c,bigC(b,b,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(bigC(a,b,b),product(c,b))),product(c,b)) )],[refute_0_15684,refute_0_15686]) ).

cnf(refute_0_15688,plain,
    difference(bigC(b,a,b),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(bigC(b,a,b))),bind(X_27,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_15689,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | bigC(c,b,product(b,c)) != product(bigC(b,b,c),bigC(b,a,b))
    | bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,product(b,c)),product(bigC(b,b,c),bigC(b,a,b))) ),[0],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_15690,plain,
    ( bigC(c,b,product(b,c)) != product(bigC(b,b,c),bigC(b,a,b))
    | bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_15689]) ).

cnf(refute_0_15691,plain,
    bigC(b,c,product(b,c)) = product(bigC(b,b,c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_9739,refute_0_15690]) ).

cnf(refute_0_15692,plain,
    ( bigC(b,c,product(b,c)) != product(bigC(b,b,c),bigC(b,a,b))
    | product(bigC(b,b,c),bigC(b,a,b)) = bigC(b,c,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,c,product(b,c)))),bind(Y,$fot(product(bigC(b,b,c),bigC(b,a,b))))]]) ).

cnf(refute_0_15693,plain,
    product(bigC(b,b,c),bigC(b,a,b)) = bigC(b,c,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),product(bigC(b,b,c),bigC(b,a,b))) )],[refute_0_15691,refute_0_15692]) ).

cnf(refute_0_15694,plain,
    ( difference(bigC(b,a,b),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | product(bigC(b,b,c),bigC(b,a,b)) != bigC(b,c,product(b,c))
    | difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) ),[0,1,0],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_15695,plain,
    ( difference(bigC(b,a,b),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,c,product(b,c))) )],[refute_0_15693,refute_0_15694]) ).

cnf(refute_0_15696,plain,
    difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(product(bigC(b,b,c),bigC(b,a,b)),bigC(b,a,b))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) )],[refute_0_15688,refute_0_15695]) ).

cnf(refute_0_15697,plain,
    difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))))]]) ).

cnf(refute_0_15698,plain,
    ( difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) != difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b)))
    | difference(bigC(b,c,product(b,c)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = difference(bigC(b,a,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))),difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b)))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_15699,plain,
    ( difference(bigC(b,c,product(b,c)),bigC(b,a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = difference(bigC(b,a,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))),difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b)))) )],[refute_0_15697,refute_0_15698]) ).

cnf(refute_0_15700,plain,
    difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) = difference(bigC(b,a,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(b,c)),bigC(b,a,b)),product(c,bigC(b,b,c))) )],[refute_0_10470,refute_0_15699]) ).

cnf(refute_0_15701,plain,
    ( difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) != difference(bigC(b,a,b),product(c,bigC(b,b,c)))
    | difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) ),[0],$fot(difference(bigC(b,a,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_15702,plain,
    ( difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))),difference(bigC(b,a,b),product(c,bigC(b,b,c)))) )],[refute_0_15700,refute_0_15701]) ).

cnf(refute_0_15703,plain,
    product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))))]]) ).

cnf(refute_0_15704,plain,
    ( product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | quotient(bigC(b,b,c),bigC(b,a,b)) != product(product(c,b),b)
    | product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = product(bigC(b,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_15705,plain,
    ( quotient(bigC(b,b,c),bigC(b,a,b)) != product(product(c,b),b)
    | product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = product(bigC(b,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) )],[refute_0_15703,refute_0_15704]) ).

cnf(refute_0_15706,plain,
    product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = product(bigC(b,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,b,c),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_9409,refute_0_15705]) ).

cnf(refute_0_15707,plain,
    ( product(bigC(b,a,b),product(product(c,b),b)) != bigC(b,product(a,b),product(c,b))
    | product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) != product(bigC(b,a,b),product(product(c,b),b))
    | product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = bigC(b,product(a,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))))),bind(Y,$fot(product(bigC(b,a,b),product(product(c,b),b)))),bind(Z,$fot(bigC(b,product(a,b),product(c,b))))]]) ).

cnf(refute_0_15708,plain,
    ( product(bigC(b,a,b),product(product(c,b),b)) != bigC(b,product(a,b),product(c,b))
    | product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = bigC(b,product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),product(bigC(b,a,b),product(product(c,b),b))) )],[refute_0_15706,refute_0_15707]) ).

cnf(refute_0_15709,plain,
    product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) = bigC(b,product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(product(c,b),b)),bigC(b,product(a,b),product(c,b))) )],[refute_0_10323,refute_0_15708]) ).

cnf(refute_0_15710,plain,
    ( difference(bigC(b,a,b),product(c,bigC(b,b,c))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))) != bigC(b,product(a,b),product(c,b))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),bigC(b,product(a,b),product(c,b))) ),[0],$fot(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))))]]) ).

cnf(refute_0_15711,plain,
    ( difference(bigC(b,a,b),product(c,bigC(b,b,c))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b))),bigC(b,product(a,b),product(c,b))) )],[refute_0_15709,refute_0_15710]) ).

cnf(refute_0_15712,plain,
    ( difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))) != product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) )],[refute_0_15702,refute_0_15711]) ).

cnf(refute_0_15713,plain,
    difference(bigC(b,a,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),difference(bigC(b,c,product(b,c)),bigC(b,a,b))),product(bigC(b,a,b),quotient(bigC(b,b,c),bigC(b,a,b)))) )],[refute_0_15696,refute_0_15712]) ).

cnf(refute_0_15714,plain,
    difference(bigC(b,a,b),product(c,bigC(b,b,c))) = difference(bigC(b,a,b),product(c,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(b,a,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_15715,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) != difference(bigC(b,a,b),product(c,bigC(b,b,c)))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = difference(bigC(a,b,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),difference(bigC(b,a,b),product(c,bigC(b,b,c)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_15716,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) = difference(bigC(a,b,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),difference(bigC(b,a,b),product(c,bigC(b,b,c)))) )],[refute_0_15714,refute_0_15715]) ).

cnf(refute_0_15717,plain,
    difference(bigC(b,a,b),product(c,bigC(b,b,c))) = difference(bigC(a,b,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_15716]) ).

cnf(refute_0_15718,plain,
    ( difference(bigC(b,a,b),product(c,bigC(b,b,c))) != bigC(b,product(a,b),product(c,b))
    | difference(bigC(b,a,b),product(c,bigC(b,b,c))) != difference(bigC(a,b,b),product(c,bigC(b,b,c)))
    | difference(bigC(a,b,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),bigC(b,product(a,b),product(c,b))) ),[0],$fot(difference(bigC(a,b,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_15719,plain,
    ( difference(bigC(b,a,b),product(c,bigC(b,b,c))) != bigC(b,product(a,b),product(c,b))
    | difference(bigC(a,b,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),difference(bigC(a,b,b),product(c,bigC(b,b,c)))) )],[refute_0_15717,refute_0_15718]) ).

cnf(refute_0_15720,plain,
    difference(bigC(a,b,b),product(c,bigC(b,b,c))) = bigC(b,product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(c,bigC(b,b,c))),bigC(b,product(a,b),product(c,b))) )],[refute_0_15713,refute_0_15719]) ).

cnf(refute_0_15721,plain,
    ( difference(bigC(a,b,b),product(c,bigC(b,b,c))) != bigC(b,product(a,b),product(c,b))
    | difference(bigC(a,b,b),product(c,bigC(b,b,c))) != product(c,b)
    | bigC(b,product(a,b),product(c,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(c,bigC(b,b,c))),product(c,b)) ),[0],$fot(bigC(b,product(a,b),product(c,b)))]]) ).

cnf(refute_0_15722,plain,
    ( difference(bigC(a,b,b),product(c,bigC(b,b,c))) != product(c,b)
    | bigC(b,product(a,b),product(c,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(c,bigC(b,b,c))),bigC(b,product(a,b),product(c,b))) )],[refute_0_15720,refute_0_15721]) ).

cnf(refute_0_15723,plain,
    bigC(b,product(a,b),product(c,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(c,bigC(b,b,c))),product(c,b)) )],[refute_0_15687,refute_0_15722]) ).

cnf(refute_0_15724,plain,
    bigC(b,product(c,b),product(a,b)) = bigC(b,product(a,b),product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(product(a,b))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_15725,plain,
    ( bigC(b,product(a,b),product(c,b)) != product(c,b)
    | bigC(b,product(c,b),product(a,b)) != bigC(b,product(a,b),product(c,b))
    | bigC(b,product(c,b),product(a,b)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(c,b),product(a,b)))),bind(Y,$fot(bigC(b,product(a,b),product(c,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_15726,plain,
    ( bigC(b,product(a,b),product(c,b)) != product(c,b)
    | bigC(b,product(c,b),product(a,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),product(a,b)),bigC(b,product(a,b),product(c,b))) )],[refute_0_15724,refute_0_15725]) ).

cnf(refute_0_15727,plain,
    bigC(b,product(c,b),product(a,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),product(c,b)),product(c,b)) )],[refute_0_15723,refute_0_15726]) ).

cnf(refute_0_15728,plain,
    product(bigC(b,b,c),product(product(a,b),b)) = bigC(b,product(c,b),product(a,b)),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(c)),bind(X_44,$fot(b)),bind(X_45,$fot(product(a,b)))]]) ).

cnf(refute_0_15729,plain,
    ( bigC(b,product(c,b),product(a,b)) != product(c,b)
    | product(bigC(b,b,c),product(product(a,b),b)) != bigC(b,product(c,b),product(a,b))
    | product(bigC(b,b,c),product(product(a,b),b)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(product(a,b),b)))),bind(Y,$fot(bigC(b,product(c,b),product(a,b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_15730,plain,
    ( bigC(b,product(c,b),product(a,b)) != product(c,b)
    | product(bigC(b,b,c),product(product(a,b),b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(a,b),b)),bigC(b,product(c,b),product(a,b))) )],[refute_0_15728,refute_0_15729]) ).

cnf(refute_0_15731,plain,
    product(bigC(b,b,c),product(product(a,b),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),product(a,b)),product(c,b)) )],[refute_0_15727,refute_0_15730]) ).

cnf(refute_0_15732,plain,
    product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))))]]) ).

cnf(refute_0_15733,plain,
    ( product(bigC(b,b,c),product(product(a,b),b)) != product(c,b)
    | product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b)))
    | product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_15734,plain,
    ( product(bigC(b,b,c),product(product(a,b),b)) != product(c,b)
    | product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b)))) )],[refute_0_15732,refute_0_15733]) ).

cnf(refute_0_15735,plain,
    product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(product(a,b),b)),product(c,b)) )],[refute_0_15731,refute_0_15734]) ).

cnf(refute_0_15736,plain,
    difference(product(c,difference(b,c)),difference(b,c)) = product(difference(b,c),difference(b,product(c,b))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(c)),bind(X_32,$fot(b))]]) ).

cnf(refute_0_15737,plain,
    product(difference(b,c),b) = difference(b,product(c,b)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(c)),bind(X_74,$fot(b))]]) ).

cnf(refute_0_15738,plain,
    product(product(a,quotient(c,a)),b) = product(product(a,quotient(c,a)),b),
    introduced(tautology,[refl,[$fot(product(product(a,quotient(c,a)),b))]]) ).

cnf(refute_0_15739,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(a,quotient(c,a)),b) != product(product(a,quotient(c,a)),b)
    | product(product(a,quotient(c,a)),b) = product(difference(b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(c,a)),b),product(product(a,quotient(c,a)),b)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_15740,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(a,quotient(c,a)),b) = product(difference(b,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),product(product(a,quotient(c,a)),b)) )],[refute_0_15738,refute_0_15739]) ).

cnf(refute_0_15741,plain,
    product(product(a,quotient(c,a)),b) = product(difference(b,c),b),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_15740]) ).

cnf(refute_0_15742,plain,
    ( product(difference(b,c),b) != difference(b,product(c,b))
    | product(product(a,quotient(c,a)),b) != product(difference(b,c),b)
    | product(product(a,quotient(c,a)),b) = difference(b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,quotient(c,a)),b))),bind(Y,$fot(product(difference(b,c),b))),bind(Z,$fot(difference(b,product(c,b))))]]) ).

cnf(refute_0_15743,plain,
    ( product(difference(b,c),b) != difference(b,product(c,b))
    | product(product(a,quotient(c,a)),b) = difference(b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),product(difference(b,c),b)) )],[refute_0_15741,refute_0_15742]) ).

cnf(refute_0_15744,plain,
    product(product(a,quotient(c,a)),b) = difference(b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),difference(b,product(c,b))) )],[refute_0_15737,refute_0_15743]) ).

cnf(refute_0_15745,plain,
    ( product(product(a,quotient(c,a)),b) != difference(b,product(c,b))
    | product(product(a,quotient(c,a)),b) != quotient(c,a)
    | difference(b,product(c,b)) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(c,a)),b),quotient(c,a)) ),[0],$fot(difference(b,product(c,b)))]]) ).

cnf(refute_0_15746,plain,
    ( product(product(a,quotient(c,a)),b) != quotient(c,a)
    | difference(b,product(c,b)) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),difference(b,product(c,b))) )],[refute_0_15744,refute_0_15745]) ).

cnf(refute_0_15747,plain,
    difference(b,product(c,b)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),b),quotient(c,a)) )],[refute_0_12431,refute_0_15746]) ).

cnf(refute_0_15748,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | difference(product(c,difference(b,c)),difference(b,c)) != product(difference(b,c),difference(b,product(c,b)))
    | difference(product(c,difference(b,c)),difference(b,c)) = product(difference(b,c),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),product(difference(b,c),difference(b,product(c,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_15749,plain,
    ( difference(product(c,difference(b,c)),difference(b,c)) != product(difference(b,c),difference(b,product(c,b)))
    | difference(product(c,difference(b,c)),difference(b,c)) = product(difference(b,c),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_15747,refute_0_15748]) ).

cnf(refute_0_15750,plain,
    difference(product(c,difference(b,c)),difference(b,c)) = product(difference(b,c),quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),product(difference(b,c),difference(b,product(c,b)))) )],[refute_0_15736,refute_0_15749]) ).

cnf(refute_0_15751,plain,
    difference(product(a,c),difference(c,product(a,c))) = difference(product(a,c),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_15752,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | difference(product(a,c),difference(c,product(a,c))) != difference(product(a,c),difference(c,product(a,c)))
    | difference(product(a,c),difference(c,product(a,c))) = difference(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),difference(c,product(a,c))),difference(product(a,c),difference(c,product(a,c)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15753,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | difference(product(a,c),difference(c,product(a,c))) = difference(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(c,product(a,c))),difference(product(a,c),difference(c,product(a,c)))) )],[refute_0_15751,refute_0_15752]) ).

cnf(refute_0_15754,plain,
    difference(product(a,c),difference(c,product(a,c))) = difference(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_15753]) ).

cnf(refute_0_15755,plain,
    ( difference(c,product(a,product(c,b))) != difference(product(a,c),difference(c,product(a,c)))
    | difference(product(a,c),difference(c,product(a,c))) != difference(product(a,c),difference(b,c))
    | difference(c,product(a,product(c,b))) = difference(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,product(a,product(c,b))),difference(product(a,c),difference(b,c))) ),[0],$fot(difference(product(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_15756,plain,
    ( difference(c,product(a,product(c,b))) != difference(product(a,c),difference(c,product(a,c)))
    | difference(c,product(a,product(c,b))) = difference(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(c,product(a,c))),difference(product(a,c),difference(b,c))) )],[refute_0_15754,refute_0_15755]) ).

cnf(refute_0_15757,plain,
    difference(c,product(a,product(c,b))) = difference(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,product(c,b))),difference(product(a,c),difference(c,product(a,c)))) )],[refute_0_15229,refute_0_15756]) ).

cnf(refute_0_15758,plain,
    ( difference(c,product(a,product(c,b))) != difference(product(a,c),difference(b,c))
    | difference(product(a,c),difference(b,c)) = difference(c,product(a,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,product(c,b))))),bind(Y,$fot(difference(product(a,c),difference(b,c))))]]) ).

cnf(refute_0_15759,plain,
    difference(product(a,c),difference(b,c)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,product(c,b))),difference(product(a,c),difference(b,c))) )],[refute_0_15757,refute_0_15758]) ).

cnf(refute_0_15760,plain,
    product(quotient(product(a,c),difference(b,c)),difference(b,c)) = product(a,c),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,c))),bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_15761,plain,
    product(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),product(a,c)) = quotient(product(a,c),difference(b,c)),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(product(a,c),difference(b,c)))),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_15762,plain,
    quotient(quotient(product(a,c),product(product(a,c),difference(c,product(a,product(c,b))))),product(a,c)) = difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,c))),bind(X_29,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15763,plain,
    product(product(a,c),difference(product(a,c),difference(c,product(a,c)))) = difference(c,product(a,c)),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,c))),bind(B,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_15764,plain,
    ( difference(product(a,c),difference(c,product(a,c))) != difference(c,product(a,product(c,b)))
    | product(product(a,c),difference(product(a,c),difference(c,product(a,c)))) != difference(c,product(a,c))
    | product(product(a,c),difference(c,product(a,product(c,b)))) = difference(c,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),difference(product(a,c),difference(c,product(a,c)))),difference(c,product(a,c))) ),[0,1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15765,plain,
    ( product(product(a,c),difference(product(a,c),difference(c,product(a,c)))) != difference(c,product(a,c))
    | product(product(a,c),difference(c,product(a,product(c,b)))) = difference(c,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(c,product(a,c))),difference(c,product(a,product(c,b)))) )],[refute_0_15231,refute_0_15764]) ).

cnf(refute_0_15766,plain,
    product(product(a,c),difference(c,product(a,product(c,b)))) = difference(c,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(product(a,c),difference(c,product(a,c)))),difference(c,product(a,c))) )],[refute_0_15763,refute_0_15765]) ).

cnf(refute_0_15767,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(a,c),difference(c,product(a,product(c,b)))) != difference(c,product(a,c))
    | product(product(a,c),difference(c,product(a,product(c,b)))) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),difference(c,product(a,product(c,b)))),difference(c,product(a,c))) ),[1],$fot(difference(b,c))]]) ).

cnf(refute_0_15768,plain,
    ( product(product(a,c),difference(c,product(a,product(c,b)))) != difference(c,product(a,c))
    | product(product(a,c),difference(c,product(a,product(c,b)))) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_15767]) ).

cnf(refute_0_15769,plain,
    product(product(a,c),difference(c,product(a,product(c,b)))) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(c,product(a,product(c,b)))),difference(c,product(a,c))) )],[refute_0_15766,refute_0_15768]) ).

cnf(refute_0_15770,plain,
    ( product(product(a,c),difference(c,product(a,product(c,b)))) != difference(b,c)
    | quotient(quotient(product(a,c),product(product(a,c),difference(c,product(a,product(c,b))))),product(a,c)) != difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))
    | quotient(quotient(product(a,c),difference(b,c)),product(a,c)) = difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),product(product(a,c),difference(c,product(a,product(c,b))))),product(a,c)),difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))) ),[0,0,1],$fot(difference(b,c))]]) ).

cnf(refute_0_15771,plain,
    ( quotient(quotient(product(a,c),product(product(a,c),difference(c,product(a,product(c,b))))),product(a,c)) != difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))
    | quotient(quotient(product(a,c),difference(b,c)),product(a,c)) = difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(c,product(a,product(c,b)))),difference(b,c)) )],[refute_0_15769,refute_0_15770]) ).

cnf(refute_0_15772,plain,
    quotient(quotient(product(a,c),difference(b,c)),product(a,c)) = difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),product(product(a,c),difference(c,product(a,product(c,b))))),product(a,c)),difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))) )],[refute_0_15762,refute_0_15771]) ).

cnf(refute_0_15773,plain,
    difference(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = difference(product(a,b),product(product(a,c),b)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(difference(product(a,b),product(product(a,c),b)))),bind(X_9,$fot(product(a,b)))]]) ).

cnf(refute_0_15774,plain,
    product(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b)) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_15775,plain,
    quotient(quotient(product(a,b),product(product(a,b),quotient(c,product(a,b)))),product(a,b)) = difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(a,b))),bind(X_29,$fot(quotient(c,product(a,b))))]]) ).

cnf(refute_0_15776,plain,
    difference(product(a,b),difference(product(c,product(a,b)),product(a,b))) = product(product(a,b),quotient(c,product(a,b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(a,b))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_15777,plain,
    ( difference(product(a,b),difference(product(c,product(a,b)),product(a,b))) != product(product(a,b),quotient(c,product(a,b)))
    | product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = product(product(a,b),quotient(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(c,product(a,b)),product(a,b))),product(product(a,b),quotient(c,product(a,b)))) ),[0,1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_15778,plain,
    ( difference(product(a,b),difference(product(c,product(a,b)),product(a,b))) != product(product(a,b),quotient(c,product(a,b)))
    | difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = product(product(a,b),quotient(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_15777]) ).

cnf(refute_0_15779,plain,
    difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = product(product(a,b),quotient(c,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(c,product(a,b)),product(a,b))),product(product(a,b),quotient(c,product(a,b)))) )],[refute_0_15776,refute_0_15778]) ).

cnf(refute_0_15780,plain,
    difference(quotient(product(a,b),product(product(a,c),b)),product(a,b)) = product(product(a,c),b),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(product(a,c),b))),bind(X_9,$fot(product(a,b)))]]) ).

cnf(refute_0_15781,plain,
    ( difference(quotient(product(a,b),product(product(a,c),b)),product(a,b)) != product(product(a,c),b)
    | quotient(product(a,b),product(product(a,c),b)) != product(c,product(a,b))
    | difference(product(c,product(a,b)),product(a,b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(product(a,c),b)) ),[0,0],$fot(product(c,product(a,b)))]]) ).

cnf(refute_0_15782,plain,
    ( difference(quotient(product(a,b),product(product(a,c),b)),product(a,b)) != product(product(a,c),b)
    | difference(product(c,product(a,b)),product(a,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(product(a,c),b)),product(c,product(a,b))) )],[refute_0_14994,refute_0_15781]) ).

cnf(refute_0_15783,plain,
    difference(product(c,product(a,b)),product(a,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),product(product(a,c),b)),product(a,b)),product(product(a,c),b)) )],[refute_0_15780,refute_0_15782]) ).

cnf(refute_0_15784,plain,
    difference(product(c,product(a,b)),product(a,b)) = difference(product(c,product(a,b)),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(a,b)),product(a,b)))]]) ).

cnf(refute_0_15785,plain,
    ( difference(product(c,product(a,b)),product(a,b)) != difference(product(c,product(a,b)),product(a,b))
    | product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(c,product(a,b)),product(a,b)) = difference(product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,b)),product(a,b)),difference(product(c,product(a,b)),product(a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_15786,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | difference(product(c,product(a,b)),product(a,b)) = difference(product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),product(a,b)),difference(product(c,product(a,b)),product(a,b))) )],[refute_0_15784,refute_0_15785]) ).

cnf(refute_0_15787,plain,
    difference(product(c,product(a,b)),product(a,b)) = difference(product(a,product(b,c)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_15786]) ).

cnf(refute_0_15788,plain,
    ( difference(product(c,product(a,b)),product(a,b)) != difference(product(a,product(b,c)),product(a,b))
    | difference(product(c,product(a,b)),product(a,b)) != product(product(a,c),b)
    | difference(product(a,product(b,c)),product(a,b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,b)),product(a,b)),product(product(a,c),b)) ),[0],$fot(difference(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_15789,plain,
    ( difference(product(c,product(a,b)),product(a,b)) != product(product(a,c),b)
    | difference(product(a,product(b,c)),product(a,b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),product(a,b)),difference(product(a,product(b,c)),product(a,b))) )],[refute_0_15787,refute_0_15788]) ).

cnf(refute_0_15790,plain,
    difference(product(a,product(b,c)),product(a,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,b)),product(a,b)),product(product(a,c),b)) )],[refute_0_15783,refute_0_15789]) ).

cnf(refute_0_15791,plain,
    difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = difference(product(a,b),difference(product(a,product(b,c)),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),difference(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_15792,plain,
    ( difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) != difference(product(a,b),difference(product(a,product(b,c)),product(a,b)))
    | difference(product(a,product(b,c)),product(a,b)) != product(product(a,c),b)
    | difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = difference(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,c)),product(a,b))),difference(product(a,b),difference(product(a,product(b,c)),product(a,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15793,plain,
    ( difference(product(a,product(b,c)),product(a,b)) != product(product(a,c),b)
    | difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = difference(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,c)),product(a,b))),difference(product(a,b),difference(product(a,product(b,c)),product(a,b)))) )],[refute_0_15791,refute_0_15792]) ).

cnf(refute_0_15794,plain,
    difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) = difference(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(a,b)),product(product(a,c),b)) )],[refute_0_15790,refute_0_15793]) ).

cnf(refute_0_15795,plain,
    ( difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) != difference(product(a,b),product(product(a,c),b))
    | difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) != product(product(a,b),quotient(c,product(a,b)))
    | difference(product(a,b),product(product(a,c),b)) = product(product(a,b),quotient(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,c)),product(a,b))),product(product(a,b),quotient(c,product(a,b)))) ),[0],$fot(difference(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_15796,plain,
    ( difference(product(a,b),difference(product(a,product(b,c)),product(a,b))) != product(product(a,b),quotient(c,product(a,b)))
    | difference(product(a,b),product(product(a,c),b)) = product(product(a,b),quotient(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,c)),product(a,b))),difference(product(a,b),product(product(a,c),b))) )],[refute_0_15794,refute_0_15795]) ).

cnf(refute_0_15797,plain,
    difference(product(a,b),product(product(a,c),b)) = product(product(a,b),quotient(c,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,c)),product(a,b))),product(product(a,b),quotient(c,product(a,b)))) )],[refute_0_15779,refute_0_15796]) ).

cnf(refute_0_15798,plain,
    ( difference(product(a,b),product(product(a,c),b)) != product(product(a,b),quotient(c,product(a,b)))
    | product(product(a,b),quotient(c,product(a,b))) = difference(product(a,b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(a,b),product(product(a,c),b)))),bind(Y,$fot(product(product(a,b),quotient(c,product(a,b)))))]]) ).

cnf(refute_0_15799,plain,
    product(product(a,b),quotient(c,product(a,b))) = difference(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,c),b)),product(product(a,b),quotient(c,product(a,b)))) )],[refute_0_15797,refute_0_15798]) ).

cnf(refute_0_15800,plain,
    ( product(product(a,b),quotient(c,product(a,b))) != difference(product(a,b),product(product(a,c),b))
    | quotient(quotient(product(a,b),product(product(a,b),quotient(c,product(a,b)))),product(a,b)) != difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),product(product(a,b),quotient(c,product(a,b)))),product(a,b)),difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))) ),[0,0,1],$fot(difference(product(a,b),product(product(a,c),b)))]]) ).

cnf(refute_0_15801,plain,
    ( quotient(quotient(product(a,b),product(product(a,b),quotient(c,product(a,b)))),product(a,b)) != difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(c,product(a,b))),difference(product(a,b),product(product(a,c),b))) )],[refute_0_15799,refute_0_15800]) ).

cnf(refute_0_15802,plain,
    quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(product(a,b),quotient(c,product(a,b)))),product(a,b)),difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))) )],[refute_0_15775,refute_0_15801]) ).

cnf(refute_0_15803,plain,
    difference(product(a,b),bigC(a,b,c)) = product(c,a),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_15804,plain,
    ( bigC(a,b,c) != c
    | difference(product(a,b),bigC(a,b,c)) != product(c,a)
    | difference(product(a,b),c) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(a,b,c)),product(c,a)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_15805,plain,
    ( difference(product(a,b),bigC(a,b,c)) != product(c,a)
    | difference(product(a,b),c) = product(c,a) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,c),c) )],[refute_0_1323,refute_0_15804]) ).

cnf(refute_0_15806,plain,
    difference(product(a,b),c) = product(c,a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(a,b,c)),product(c,a)) )],[refute_0_15803,refute_0_15805]) ).

cnf(refute_0_15807,plain,
    product(quotient(c,product(a,b)),product(a,b)) = c,
    inference(subst,[],[sos04:[bind(A,$fot(c)),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_15808,plain,
    difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))))]]) ).

cnf(refute_0_15809,plain,
    ( difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) != difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))
    | product(quotient(c,product(a,b)),product(a,b)) != c
    | difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = difference(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_15810,plain,
    ( product(quotient(c,product(a,b)),product(a,b)) != c
    | difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = difference(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))) )],[refute_0_15808,refute_0_15809]) ).

cnf(refute_0_15811,plain,
    difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = difference(product(a,b),c),
    inference(resolve,[$cnf( $equal(product(quotient(c,product(a,b)),product(a,b)),c) )],[refute_0_15807,refute_0_15810]) ).

cnf(refute_0_15812,plain,
    ( difference(product(a,b),c) != product(c,a)
    | difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) != difference(product(a,b),c)
    | difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))))),bind(Y,$fot(difference(product(a,b),c))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_15813,plain,
    ( difference(product(a,b),c) != product(c,a)
    | difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),difference(product(a,b),c)) )],[refute_0_15811,refute_0_15812]) ).

cnf(refute_0_15814,plain,
    difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) = product(c,a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),c),product(c,a)) )],[refute_0_15806,refute_0_15813]) ).

cnf(refute_0_15815,plain,
    ( difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))) != product(c,a)
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))) ),[1],$fot(product(c,a))]]) ).

cnf(refute_0_15816,plain,
    ( quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(quotient(c,product(a,b)),product(a,b))),product(c,a)) )],[refute_0_15814,refute_0_15815]) ).

cnf(refute_0_15817,plain,
    quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),difference(product(a,b),product(quotient(c,product(a,b)),product(a,b)))) )],[refute_0_15802,refute_0_15816]) ).

cnf(refute_0_15818,plain,
    ( product(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b)) != quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != product(c,a)
    | product(product(c,a),product(a,b)) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b)),quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_15819,plain,
    ( product(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b)) != quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))
    | product(product(c,a),product(a,b)) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(c,a)) )],[refute_0_15817,refute_0_15818]) ).

cnf(refute_0_15820,plain,
    product(product(c,a),product(a,b)) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b)),quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))) )],[refute_0_15774,refute_0_15819]) ).

cnf(refute_0_15821,plain,
    ( product(product(c,a),product(a,b)) != product(a,c)
    | product(product(c,a),product(a,b)) != quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))
    | product(a,c) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(a,b)),quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_15822,plain,
    ( product(product(c,a),product(a,b)) != quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))
    | product(a,c) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),product(a,c)) )],[refute_0_4667,refute_0_15821]) ).

cnf(refute_0_15823,plain,
    product(a,c) = quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))) )],[refute_0_15820,refute_0_15822]) ).

cnf(refute_0_15824,plain,
    ( product(a,c) != quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))
    | quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) = product(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,c))),bind(Y,$fot(quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))))]]) ).

cnf(refute_0_15825,plain,
    quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),quotient(product(a,b),difference(product(a,b),product(product(a,c),b)))) )],[refute_0_15823,refute_0_15824]) ).

cnf(refute_0_15826,plain,
    ( difference(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != difference(product(a,b),product(product(a,c),b))
    | quotient(product(a,b),difference(product(a,b),product(product(a,c),b))) != product(a,c)
    | difference(product(a,c),product(a,b)) = difference(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),difference(product(a,b),product(product(a,c),b))) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_15827,plain,
    ( difference(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != difference(product(a,b),product(product(a,c),b))
    | difference(product(a,c),product(a,b)) = difference(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,c)) )],[refute_0_15825,refute_0_15826]) ).

cnf(refute_0_15828,plain,
    difference(product(a,c),product(a,b)) = difference(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),difference(product(a,b),product(product(a,c),b))) )],[refute_0_15773,refute_0_15827]) ).

cnf(refute_0_15829,plain,
    ( difference(product(a,c),product(a,b)) != difference(product(a,b),product(product(a,c),b))
    | difference(product(a,c),product(a,b)) != product(c,b)
    | product(c,b) = difference(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(a,b)),difference(product(a,b),product(product(a,c),b))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_15830,plain,
    ( difference(product(a,c),product(a,b)) != difference(product(a,b),product(product(a,c),b))
    | product(c,b) = difference(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,b)),product(c,b)) )],[refute_0_11755,refute_0_15829]) ).

cnf(refute_0_15831,plain,
    product(c,b) = difference(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,b)),difference(product(a,b),product(product(a,c),b))) )],[refute_0_15828,refute_0_15830]) ).

cnf(refute_0_15832,plain,
    ( product(c,b) != difference(product(a,b),product(product(a,c),b))
    | difference(product(a,b),product(product(a,c),b)) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(difference(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_15833,plain,
    difference(product(a,b),product(product(a,c),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),difference(product(a,b),product(product(a,c),b))) )],[refute_0_15831,refute_0_15832]) ).

cnf(refute_0_15834,plain,
    difference(c,product(c,product(product(a,c),b))) = product(product(a,c),b),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_15835,plain,
    ( difference(c,product(c,product(product(a,c),b))) != product(product(a,c),b)
    | product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | difference(c,product(a,product(b,product(b,c)))) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(product(a,c),b))),product(product(a,c),b)) ),[0,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_15836,plain,
    ( difference(c,product(c,product(product(a,c),b))) != product(product(a,c),b)
    | difference(c,product(a,product(b,product(b,c)))) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_8201,refute_0_15835]) ).

cnf(refute_0_15837,plain,
    difference(c,product(a,product(b,product(b,c)))) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(product(a,c),b))),product(product(a,c),b)) )],[refute_0_15834,refute_0_15836]) ).

cnf(refute_0_15838,plain,
    difference(c,product(product(a,product(c,b)),c)) = difference(c,product(product(a,product(c,b)),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_15839,plain,
    ( difference(c,product(product(a,product(c,b)),c)) != difference(c,product(product(a,product(c,b)),c))
    | product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | difference(c,product(product(a,product(c,b)),c)) = difference(c,product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(a,product(c,b)),c)),difference(c,product(product(a,product(c,b)),c))) ),[1,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_15840,plain,
    ( product(product(a,product(c,b)),c) != product(a,product(b,product(b,c)))
    | difference(c,product(product(a,product(c,b)),c)) = difference(c,product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,product(c,b)),c)),difference(c,product(product(a,product(c,b)),c))) )],[refute_0_15838,refute_0_15839]) ).

cnf(refute_0_15841,plain,
    difference(c,product(product(a,product(c,b)),c)) = difference(c,product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),c),product(a,product(b,product(b,c)))) )],[refute_0_8047,refute_0_15840]) ).

cnf(refute_0_15842,plain,
    ( difference(c,product(a,product(b,product(b,c)))) != product(product(a,c),b)
    | difference(c,product(product(a,product(c,b)),c)) != difference(c,product(a,product(b,product(b,c))))
    | difference(c,product(product(a,product(c,b)),c)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(a,product(c,b)),c)))),bind(Y,$fot(difference(c,product(a,product(b,product(b,c)))))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_15843,plain,
    ( difference(c,product(a,product(b,product(b,c)))) != product(product(a,c),b)
    | difference(c,product(product(a,product(c,b)),c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,product(c,b)),c)),difference(c,product(a,product(b,product(b,c))))) )],[refute_0_15841,refute_0_15842]) ).

cnf(refute_0_15844,plain,
    difference(c,product(product(a,product(c,b)),c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(c,product(a,product(b,product(b,c)))),product(product(a,c),b)) )],[refute_0_15837,refute_0_15843]) ).

cnf(refute_0_15845,plain,
    product(difference(c,product(a,product(c,b))),c) = difference(c,product(product(a,product(c,b)),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(a,product(c,b)))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_15846,plain,
    ( difference(c,product(product(a,product(c,b)),c)) != product(product(a,c),b)
    | product(difference(c,product(a,product(c,b))),c) != difference(c,product(product(a,product(c,b)),c))
    | product(difference(c,product(a,product(c,b))),c) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(a,product(c,b))),c))),bind(Y,$fot(difference(c,product(product(a,product(c,b)),c)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_15847,plain,
    ( difference(c,product(product(a,product(c,b)),c)) != product(product(a,c),b)
    | product(difference(c,product(a,product(c,b))),c) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),c),difference(c,product(product(a,product(c,b)),c))) )],[refute_0_15845,refute_0_15846]) ).

cnf(refute_0_15848,plain,
    product(difference(c,product(a,product(c,b))),c) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,product(c,b)),c)),product(product(a,c),b)) )],[refute_0_15844,refute_0_15847]) ).

cnf(refute_0_15849,plain,
    difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = difference(product(a,b),product(difference(c,product(a,product(c,b))),c)),
    introduced(tautology,[refl,[$fot(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)))]]) ).

cnf(refute_0_15850,plain,
    ( difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) != difference(product(a,b),product(difference(c,product(a,product(c,b))),c))
    | product(difference(c,product(a,product(c,b))),c) != product(product(a,c),b)
    | difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = difference(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)),difference(product(a,b),product(difference(c,product(a,product(c,b))),c))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15851,plain,
    ( product(difference(c,product(a,product(c,b))),c) != product(product(a,c),b)
    | difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = difference(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)),difference(product(a,b),product(difference(c,product(a,product(c,b))),c))) )],[refute_0_15849,refute_0_15850]) ).

cnf(refute_0_15852,plain,
    difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = difference(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),c),product(product(a,c),b)) )],[refute_0_15848,refute_0_15851]) ).

cnf(refute_0_15853,plain,
    ( difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) != difference(product(a,b),product(product(a,c),b))
    | difference(product(a,b),product(product(a,c),b)) != product(c,b)
    | difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)))),bind(Y,$fot(difference(product(a,b),product(product(a,c),b)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_15854,plain,
    ( difference(product(a,b),product(product(a,c),b)) != product(c,b)
    | difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)),difference(product(a,b),product(product(a,c),b))) )],[refute_0_15852,refute_0_15853]) ).

cnf(refute_0_15855,plain,
    difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,c),b)),product(c,b)) )],[refute_0_15833,refute_0_15854]) ).

cnf(refute_0_15856,plain,
    difference(product(a,b),product(product(a,b),product(X_26,product(a,c)))) = product(X_26,product(a,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,b))),bind(B,$fot(product(X_26,product(a,c))))]]) ).

cnf(refute_0_15857,plain,
    bigC(product(a,c),product(c,b),X_26) = product(product(a,b),product(X_26,product(a,c))),
    inference(subst,[],[refute_0_94:[bind(X_23,$fot(X_26))]]) ).

cnf(refute_0_15858,plain,
    ( bigC(product(a,c),product(c,b),X_26) != product(product(a,b),product(X_26,product(a,c)))
    | product(product(a,b),product(X_26,product(a,c))) = bigC(product(a,c),product(c,b),X_26) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),product(c,b),X_26))),bind(Y,$fot(product(product(a,b),product(X_26,product(a,c)))))]]) ).

cnf(refute_0_15859,plain,
    product(product(a,b),product(X_26,product(a,c))) = bigC(product(a,c),product(c,b),X_26),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_26),product(product(a,b),product(X_26,product(a,c)))) )],[refute_0_15857,refute_0_15858]) ).

cnf(refute_0_15860,plain,
    ( difference(product(a,b),product(product(a,b),product(X_26,product(a,c)))) != product(X_26,product(a,c))
    | product(product(a,b),product(X_26,product(a,c))) != bigC(product(a,c),product(c,b),X_26)
    | difference(product(a,b),bigC(product(a,c),product(c,b),X_26)) = product(X_26,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),product(X_26,product(a,c)))),product(X_26,product(a,c))) ),[0,1],$fot(bigC(product(a,c),product(c,b),X_26))]]) ).

cnf(refute_0_15861,plain,
    ( difference(product(a,b),product(product(a,b),product(X_26,product(a,c)))) != product(X_26,product(a,c))
    | difference(product(a,b),bigC(product(a,c),product(c,b),X_26)) = product(X_26,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_26,product(a,c))),bigC(product(a,c),product(c,b),X_26)) )],[refute_0_15859,refute_0_15860]) ).

cnf(refute_0_15862,plain,
    difference(product(a,b),bigC(product(a,c),product(c,b),X_26)) = product(X_26,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),product(X_26,product(a,c)))),product(X_26,product(a,c))) )],[refute_0_15856,refute_0_15861]) ).

cnf(refute_0_15863,plain,
    bigC(product(a,c),product(c,b),X_26) = bigC(product(a,c),X_26,product(c,b)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,b))),bind(C,$fot(X_26))]]) ).

cnf(refute_0_15864,plain,
    ( bigC(product(a,c),product(c,b),X_26) != bigC(product(a,c),X_26,product(c,b))
    | difference(product(a,b),bigC(product(a,c),product(c,b),X_26)) != product(X_26,product(a,c))
    | difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = product(X_26,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(c,b),X_26)),product(X_26,product(a,c))) ),[0,1],$fot(bigC(product(a,c),X_26,product(c,b)))]]) ).

cnf(refute_0_15865,plain,
    ( difference(product(a,b),bigC(product(a,c),product(c,b),X_26)) != product(X_26,product(a,c))
    | difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = product(X_26,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),X_26),bigC(product(a,c),X_26,product(c,b))) )],[refute_0_15863,refute_0_15864]) ).

cnf(refute_0_15866,plain,
    difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = product(X_26,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),product(c,b),X_26)),product(X_26,product(a,c))) )],[refute_0_15862,refute_0_15865]) ).

cnf(refute_0_15867,plain,
    bigC(product(a,c),X_26,product(c,b)) = product(product(product(a,c),X_26),c),
    inference(subst,[],[refute_0_13125:[bind(X_22,$fot(X_26))]]) ).

cnf(refute_0_15868,plain,
    difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = difference(product(a,b),bigC(product(a,c),X_26,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),bigC(product(a,c),X_26,product(c,b))))]]) ).

cnf(refute_0_15869,plain,
    ( bigC(product(a,c),X_26,product(c,b)) != product(product(product(a,c),X_26),c)
    | difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) != difference(product(a,b),bigC(product(a,c),X_26,product(c,b)))
    | difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = difference(product(a,b),product(product(product(a,c),X_26),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),X_26,product(c,b))),difference(product(a,b),bigC(product(a,c),X_26,product(c,b)))) ),[1,1],$fot(product(product(product(a,c),X_26),c))]]) ).

cnf(refute_0_15870,plain,
    ( bigC(product(a,c),X_26,product(c,b)) != product(product(product(a,c),X_26),c)
    | difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = difference(product(a,b),product(product(product(a,c),X_26),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),X_26,product(c,b))),difference(product(a,b),bigC(product(a,c),X_26,product(c,b)))) )],[refute_0_15868,refute_0_15869]) ).

cnf(refute_0_15871,plain,
    difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) = difference(product(a,b),product(product(product(a,c),X_26),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_26,product(c,b)),product(product(product(a,c),X_26),c)) )],[refute_0_15867,refute_0_15870]) ).

cnf(refute_0_15872,plain,
    ( difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) != difference(product(a,b),product(product(product(a,c),X_26),c))
    | difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) != product(X_26,product(a,c))
    | difference(product(a,b),product(product(product(a,c),X_26),c)) = product(X_26,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),X_26,product(c,b))),product(X_26,product(a,c))) ),[0],$fot(difference(product(a,b),product(product(product(a,c),X_26),c)))]]) ).

cnf(refute_0_15873,plain,
    ( difference(product(a,b),bigC(product(a,c),X_26,product(c,b))) != product(X_26,product(a,c))
    | difference(product(a,b),product(product(product(a,c),X_26),c)) = product(X_26,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),X_26,product(c,b))),difference(product(a,b),product(product(product(a,c),X_26),c))) )],[refute_0_15871,refute_0_15872]) ).

cnf(refute_0_15874,plain,
    difference(product(a,b),product(product(product(a,c),X_26),c)) = product(X_26,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(product(a,c),X_26,product(c,b))),product(X_26,product(a,c))) )],[refute_0_15866,refute_0_15873]) ).

cnf(refute_0_15875,plain,
    difference(product(a,b),product(product(product(a,c),difference(product(a,c),B)),c)) = product(difference(product(a,c),B),product(a,c)),
    inference(subst,[],[refute_0_15874:[bind(X_26,$fot(difference(product(a,c),B)))]]) ).

cnf(refute_0_15876,plain,
    product(product(a,c),difference(product(a,c),B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(product(a,c)))]]) ).

cnf(refute_0_15877,plain,
    ( difference(product(a,b),product(product(product(a,c),difference(product(a,c),B)),c)) != product(difference(product(a,c),B),product(a,c))
    | product(product(a,c),difference(product(a,c),B)) != B
    | difference(product(a,b),product(B,c)) = product(difference(product(a,c),B),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(product(a,c),difference(product(a,c),B)),c)),product(difference(product(a,c),B),product(a,c))) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_15878,plain,
    ( difference(product(a,b),product(product(product(a,c),difference(product(a,c),B)),c)) != product(difference(product(a,c),B),product(a,c))
    | difference(product(a,b),product(B,c)) = product(difference(product(a,c),B),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(product(a,c),B)),B) )],[refute_0_15876,refute_0_15877]) ).

cnf(refute_0_15879,plain,
    difference(product(a,b),product(B,c)) = product(difference(product(a,c),B),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(a,c),difference(product(a,c),B)),c)),product(difference(product(a,c),B),product(a,c))) )],[refute_0_15875,refute_0_15878]) ).

cnf(refute_0_15880,plain,
    product(difference(product(a,c),B),product(a,c)) = difference(product(a,c),product(B,product(a,c))),
    inference(subst,[],[refute_0_819:[bind(X_74,$fot(product(a,c)))]]) ).

cnf(refute_0_15881,plain,
    ( difference(product(a,b),product(B,c)) != product(difference(product(a,c),B),product(a,c))
    | product(difference(product(a,c),B),product(a,c)) != difference(product(a,c),product(B,product(a,c)))
    | difference(product(a,b),product(B,c)) = difference(product(a,c),product(B,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),product(B,c)),difference(product(a,c),product(B,product(a,c)))) ),[0],$fot(product(difference(product(a,c),B),product(a,c)))]]) ).

cnf(refute_0_15882,plain,
    ( difference(product(a,b),product(B,c)) != product(difference(product(a,c),B),product(a,c))
    | difference(product(a,b),product(B,c)) = difference(product(a,c),product(B,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),B),product(a,c)),difference(product(a,c),product(B,product(a,c)))) )],[refute_0_15880,refute_0_15881]) ).

cnf(refute_0_15883,plain,
    difference(product(a,b),product(B,c)) = difference(product(a,c),product(B,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(B,c)),product(difference(product(a,c),B),product(a,c))) )],[refute_0_15879,refute_0_15882]) ).

cnf(refute_0_15884,plain,
    ( difference(product(a,b),product(B,c)) != difference(product(a,c),product(B,product(a,c)))
    | difference(product(a,c),product(B,product(a,c))) = difference(product(a,b),product(B,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(a,b),product(B,c)))),bind(Y,$fot(difference(product(a,c),product(B,product(a,c)))))]]) ).

cnf(refute_0_15885,plain,
    difference(product(a,c),product(B,product(a,c))) = difference(product(a,b),product(B,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(B,c)),difference(product(a,c),product(B,product(a,c)))) )],[refute_0_15883,refute_0_15884]) ).

cnf(refute_0_15886,plain,
    difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) = difference(product(a,b),product(difference(c,product(a,product(c,b))),c)),
    inference(subst,[],[refute_0_15885:[bind(B,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15887,plain,
    ( difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) != product(c,b)
    | difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) != difference(product(a,b),product(difference(c,product(a,product(c,b))),c))
    | difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))))),bind(Y,$fot(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_15888,plain,
    ( difference(product(a,b),product(difference(c,product(a,product(c,b))),c)) != product(c,b)
    | difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))),difference(product(a,b),product(difference(c,product(a,product(c,b))),c))) )],[refute_0_15886,refute_0_15887]) ).

cnf(refute_0_15889,plain,
    difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(difference(c,product(a,product(c,b))),c)),product(c,b)) )],[refute_0_15855,refute_0_15888]) ).

cnf(refute_0_15890,plain,
    ( difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))) != product(c,b)
    | quotient(quotient(product(a,c),difference(b,c)),product(a,c)) != difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))
    | quotient(quotient(product(a,c),difference(b,c)),product(a,c)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))) ),[1],$fot(product(c,b))]]) ).

cnf(refute_0_15891,plain,
    ( quotient(quotient(product(a,c),difference(b,c)),product(a,c)) != difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))
    | quotient(quotient(product(a,c),difference(b,c)),product(a,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c))),product(c,b)) )],[refute_0_15889,refute_0_15890]) ).

cnf(refute_0_15892,plain,
    quotient(quotient(product(a,c),difference(b,c)),product(a,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),difference(product(a,c),product(difference(c,product(a,product(c,b))),product(a,c)))) )],[refute_0_15772,refute_0_15891]) ).

cnf(refute_0_15893,plain,
    ( product(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),product(a,c)) != quotient(product(a,c),difference(b,c))
    | quotient(quotient(product(a,c),difference(b,c)),product(a,c)) != product(c,b)
    | product(product(c,b),product(a,c)) = quotient(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),product(a,c)),quotient(product(a,c),difference(b,c))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_15894,plain,
    ( product(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),product(a,c)) != quotient(product(a,c),difference(b,c))
    | product(product(c,b),product(a,c)) = quotient(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),product(c,b)) )],[refute_0_15892,refute_0_15893]) ).

cnf(refute_0_15895,plain,
    product(product(c,b),product(a,c)) = quotient(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(product(a,c),difference(b,c)),product(a,c)),product(a,c)),quotient(product(a,c),difference(b,c))) )],[refute_0_15761,refute_0_15894]) ).

cnf(refute_0_15896,plain,
    ( product(product(c,b),product(a,c)) != c
    | product(product(c,b),product(a,c)) != quotient(product(a,c),difference(b,c))
    | c = quotient(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(a,c)),quotient(product(a,c),difference(b,c))) ),[0],$fot(c)]]) ).

cnf(refute_0_15897,plain,
    ( product(product(c,b),product(a,c)) != quotient(product(a,c),difference(b,c))
    | c = quotient(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),c) )],[refute_0_3809,refute_0_15896]) ).

cnf(refute_0_15898,plain,
    c = quotient(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),quotient(product(a,c),difference(b,c))) )],[refute_0_15895,refute_0_15897]) ).

cnf(refute_0_15899,plain,
    ( c != quotient(product(a,c),difference(b,c))
    | quotient(product(a,c),difference(b,c)) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(quotient(product(a,c),difference(b,c))))]]) ).

cnf(refute_0_15900,plain,
    quotient(product(a,c),difference(b,c)) = c,
    inference(resolve,[$cnf( $equal(c,quotient(product(a,c),difference(b,c))) )],[refute_0_15898,refute_0_15899]) ).

cnf(refute_0_15901,plain,
    ( product(quotient(product(a,c),difference(b,c)),difference(b,c)) != product(a,c)
    | quotient(product(a,c),difference(b,c)) != c
    | product(c,difference(b,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),difference(b,c)),difference(b,c)),product(a,c)) ),[0,0],$fot(c)]]) ).

cnf(refute_0_15902,plain,
    ( product(quotient(product(a,c),difference(b,c)),difference(b,c)) != product(a,c)
    | product(c,difference(b,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),difference(b,c)),c) )],[refute_0_15900,refute_0_15901]) ).

cnf(refute_0_15903,plain,
    product(c,difference(b,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),difference(b,c)),difference(b,c)),product(a,c)) )],[refute_0_15760,refute_0_15902]) ).

cnf(refute_0_15904,plain,
    difference(product(c,difference(b,c)),difference(b,c)) = difference(product(c,difference(b,c)),difference(b,c)),
    introduced(tautology,[refl,[$fot(difference(product(c,difference(b,c)),difference(b,c)))]]) ).

cnf(refute_0_15905,plain,
    ( difference(product(c,difference(b,c)),difference(b,c)) != difference(product(c,difference(b,c)),difference(b,c))
    | product(c,difference(b,c)) != product(a,c)
    | difference(product(c,difference(b,c)),difference(b,c)) = difference(product(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),difference(product(c,difference(b,c)),difference(b,c))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_15906,plain,
    ( product(c,difference(b,c)) != product(a,c)
    | difference(product(c,difference(b,c)),difference(b,c)) = difference(product(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),difference(product(c,difference(b,c)),difference(b,c))) )],[refute_0_15904,refute_0_15905]) ).

cnf(refute_0_15907,plain,
    difference(product(c,difference(b,c)),difference(b,c)) = difference(product(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_15903,refute_0_15906]) ).

cnf(refute_0_15908,plain,
    ( difference(product(a,c),difference(b,c)) != difference(c,product(a,product(c,b)))
    | difference(product(c,difference(b,c)),difference(b,c)) != difference(product(a,c),difference(b,c))
    | difference(product(c,difference(b,c)),difference(b,c)) = difference(c,product(a,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,difference(b,c)),difference(b,c)))),bind(Y,$fot(difference(product(a,c),difference(b,c)))),bind(Z,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_15909,plain,
    ( difference(product(a,c),difference(b,c)) != difference(c,product(a,product(c,b)))
    | difference(product(c,difference(b,c)),difference(b,c)) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),difference(product(a,c),difference(b,c))) )],[refute_0_15907,refute_0_15908]) ).

cnf(refute_0_15910,plain,
    difference(product(c,difference(b,c)),difference(b,c)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(b,c)),difference(c,product(a,product(c,b)))) )],[refute_0_15759,refute_0_15909]) ).

cnf(refute_0_15911,plain,
    ( difference(product(c,difference(b,c)),difference(b,c)) != difference(c,product(a,product(c,b)))
    | difference(product(c,difference(b,c)),difference(b,c)) != product(difference(b,c),quotient(c,a))
    | difference(c,product(a,product(c,b))) = product(difference(b,c),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),product(difference(b,c),quotient(c,a))) ),[0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15912,plain,
    ( difference(product(c,difference(b,c)),difference(b,c)) != product(difference(b,c),quotient(c,a))
    | difference(c,product(a,product(c,b))) = product(difference(b,c),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),difference(c,product(a,product(c,b)))) )],[refute_0_15910,refute_0_15911]) ).

cnf(refute_0_15913,plain,
    difference(c,product(a,product(c,b))) = product(difference(b,c),quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(b,c)),difference(b,c)),product(difference(b,c),quotient(c,a))) )],[refute_0_15750,refute_0_15912]) ).

cnf(refute_0_15914,plain,
    ( difference(c,product(a,product(c,b))) != product(difference(b,c),quotient(c,a))
    | product(difference(b,c),quotient(c,a)) = difference(c,product(a,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,product(c,b))))),bind(Y,$fot(product(difference(b,c),quotient(c,a))))]]) ).

cnf(refute_0_15915,plain,
    product(difference(b,c),quotient(c,a)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,product(c,b))),product(difference(b,c),quotient(c,a))) )],[refute_0_15913,refute_0_15914]) ).

cnf(refute_0_15916,plain,
    product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))))]]) ).

cnf(refute_0_15917,plain,
    ( product(difference(b,c),quotient(c,a)) != difference(c,product(a,product(c,b)))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) != product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b)))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))),product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b)))) ),[1,0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_15918,plain,
    ( product(difference(b,c),quotient(c,a)) != difference(c,product(a,product(c,b)))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))),product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b)))) )],[refute_0_15916,refute_0_15917]) ).

cnf(refute_0_15919,plain,
    product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),quotient(c,a)),difference(c,product(a,product(c,b)))) )],[refute_0_15915,refute_0_15918]) ).

cnf(refute_0_15920,plain,
    ( product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b)))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))))),bind(Y,$fot(product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))))),bind(Z,$fot(product(difference(c,product(a,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_15921,plain,
    ( product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b)))) )],[refute_0_15919,refute_0_15920]) ).

cnf(refute_0_15922,plain,
    product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(bigC(b,b,c),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(c,b))) )],[refute_0_15735,refute_0_15921]) ).

cnf(refute_0_15923,plain,
    product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) = product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(difference(b,c))),bind(B,$fot(quotient(c,a))),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_15924,plain,
    ( product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) != product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b)))
    | product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))))),bind(Y,$fot(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))))),bind(Z,$fot(product(difference(c,product(a,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_15925,plain,
    ( product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))),product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b)))) )],[refute_0_15923,refute_0_15924]) ).

cnf(refute_0_15926,plain,
    product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),quotient(c,a)),product(bigC(b,b,c),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(c,b))) )],[refute_0_15922,refute_0_15925]) ).

cnf(refute_0_15927,plain,
    bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(product(quotient(c,a),product(a,b)),quotient(c,a)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(quotient(c,a))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_15928,plain,
    ( product(c,product(quotient(c,a),b)) != product(product(a,c),b)
    | product(c,product(quotient(c,a),b)) != product(quotient(c,a),product(a,b))
    | product(product(a,c),b) = product(quotient(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(quotient(c,a),b)),product(quotient(c,a),product(a,b))) ),[0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15929,plain,
    ( product(c,product(quotient(c,a),b)) != product(quotient(c,a),product(a,b))
    | product(product(a,c),b) = product(quotient(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),b)),product(product(a,c),b)) )],[refute_0_15672,refute_0_15928]) ).

cnf(refute_0_15930,plain,
    product(product(a,c),b) = product(quotient(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),b)),product(quotient(c,a),product(a,b))) )],[refute_0_15664,refute_0_15929]) ).

cnf(refute_0_15931,plain,
    ( product(product(a,c),b) != product(quotient(c,a),product(a,b))
    | product(quotient(c,a),product(a,b)) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,c),b))),bind(Y,$fot(product(quotient(c,a),product(a,b))))]]) ).

cnf(refute_0_15932,plain,
    product(quotient(c,a),product(a,b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),b),product(quotient(c,a),product(a,b))) )],[refute_0_15930,refute_0_15931]) ).

cnf(refute_0_15933,plain,
    ( bigC(quotient(c,a),product(a,b),quotient(c,a)) != product(product(quotient(c,a),product(a,b)),quotient(c,a))
    | product(quotient(c,a),product(a,b)) != product(product(a,c),b)
    | bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(product(product(a,c),b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),product(a,b),quotient(c,a)),product(product(quotient(c,a),product(a,b)),quotient(c,a))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15934,plain,
    ( bigC(quotient(c,a),product(a,b),quotient(c,a)) != product(product(quotient(c,a),product(a,b)),quotient(c,a))
    | bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(product(product(a,c),b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(a,b)),product(product(a,c),b)) )],[refute_0_15932,refute_0_15933]) ).

cnf(refute_0_15935,plain,
    bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(product(product(a,c),b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),product(a,b),quotient(c,a)),product(product(quotient(c,a),product(a,b)),quotient(c,a))) )],[refute_0_15927,refute_0_15934]) ).

cnf(refute_0_15936,plain,
    product(product(a,quotient(c,a)),bigC(b,b,c)) = product(product(a,quotient(c,a)),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,quotient(c,a)),bigC(b,b,c)))]]) ).

cnf(refute_0_15937,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(a,quotient(c,a)),bigC(b,b,c)) != product(product(a,quotient(c,a)),bigC(b,b,c))
    | product(product(a,quotient(c,a)),bigC(b,b,c)) = product(difference(b,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(c,a)),bigC(b,b,c)),product(product(a,quotient(c,a)),bigC(b,b,c))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_15938,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | product(product(a,quotient(c,a)),bigC(b,b,c)) = product(difference(b,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),bigC(b,b,c)),product(product(a,quotient(c,a)),bigC(b,b,c))) )],[refute_0_15936,refute_0_15937]) ).

cnf(refute_0_15939,plain,
    product(product(a,quotient(c,a)),bigC(b,b,c)) = product(difference(b,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_15938]) ).

cnf(refute_0_15940,plain,
    bigC(quotient(c,a),product(a,b),C) = product(product(quotient(c,a),product(a,b)),product(C,quotient(c,a))),
    inference(subst,[],[sos08:[bind(A,$fot(quotient(c,a))),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_15941,plain,
    ( bigC(quotient(c,a),product(a,b),C) != product(product(quotient(c,a),product(a,b)),product(C,quotient(c,a)))
    | product(quotient(c,a),product(a,b)) != product(product(a,c),b)
    | bigC(quotient(c,a),product(a,b),C) = product(product(product(a,c),b),product(C,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),product(a,b),C),product(product(quotient(c,a),product(a,b)),product(C,quotient(c,a)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_15942,plain,
    ( bigC(quotient(c,a),product(a,b),C) != product(product(quotient(c,a),product(a,b)),product(C,quotient(c,a)))
    | bigC(quotient(c,a),product(a,b),C) = product(product(product(a,c),b),product(C,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),product(a,b)),product(product(a,c),b)) )],[refute_0_15932,refute_0_15941]) ).

cnf(refute_0_15943,plain,
    bigC(quotient(c,a),product(a,b),C) = product(product(product(a,c),b),product(C,quotient(c,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),product(a,b),C),product(product(quotient(c,a),product(a,b)),product(C,quotient(c,a)))) )],[refute_0_15940,refute_0_15942]) ).

cnf(refute_0_15944,plain,
    product(product(a,C),bigC(b,c,b)) = product(product(a,C),bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(product(a,C),bigC(b,c,b)))]]) ).

cnf(refute_0_15945,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(a,C),bigC(b,c,b)) != product(product(a,C),bigC(b,c,b))
    | product(product(a,C),bigC(b,c,b)) = product(product(a,C),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,C),bigC(b,c,b)),product(product(a,C),bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_15946,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(a,C),bigC(b,c,b)) = product(product(a,C),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,C),bigC(b,c,b)),product(product(a,C),bigC(b,c,b))) )],[refute_0_15944,refute_0_15945]) ).

cnf(refute_0_15947,plain,
    product(product(a,C),bigC(b,c,b)) = product(product(a,C),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_15946]) ).

cnf(refute_0_15948,plain,
    product(product(a,product(b,c)),product(C,b)) = product(product(a,C),bigC(b,c,b)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(a)),bind(D,$fot(b)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_15949,plain,
    product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(a,c))),bind(C,$fot(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))))]]) ).

cnf(refute_0_15950,plain,
    ( product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))) != product(product(a,c),c)
    | product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) != product(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(B,D))
    | product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(B,D))) ),[1,0],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_15951,plain,
    ( product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) != product(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(B,D))
    | product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(product(a,c),c)) )],[refute_0_5185,refute_0_15950]) ).

cnf(refute_0_15952,plain,
    product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),product(product(product(product(a,c),c),c),product(c,bigC(c,a,c)))),product(B,D))) )],[refute_0_15949,refute_0_15951]) ).

cnf(refute_0_15953,plain,
    product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) = product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D),
    introduced(tautology,[refl,[$fot(product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D))]]) ).

cnf(refute_0_15954,plain,
    ( product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) != c
    | product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) != product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)
    | product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_15955,plain,
    ( product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))) != c
    | product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) )],[refute_0_15953,refute_0_15954]) ).

cnf(refute_0_15956,plain,
    product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) = product(c,D),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),c) )],[refute_0_5326,refute_0_15955]) ).

cnf(refute_0_15957,plain,
    product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)))]]) ).

cnf(refute_0_15958,plain,
    ( product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) != product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D))
    | product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) != product(c,D)
    | product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_15959,plain,
    ( product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D) != product(c,D)
    | product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D))) )],[refute_0_15957,refute_0_15958]) ).

cnf(refute_0_15960,plain,
    product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) = product(product(product(a,c),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D),product(c,D)) )],[refute_0_15956,refute_0_15959]) ).

cnf(refute_0_15961,plain,
    ( product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) != product(product(product(a,c),B),product(c,D))
    | product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) != product(product(product(a,c),c),product(B,D))
    | product(product(product(a,c),B),product(c,D)) = product(product(product(a,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),c),product(B,D))) ),[0],$fot(product(product(product(a,c),B),product(c,D)))]]) ).

cnf(refute_0_15962,plain,
    ( product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)) != product(product(product(a,c),c),product(B,D))
    | product(product(product(a,c),B),product(c,D)) = product(product(product(a,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),B),product(c,D))) )],[refute_0_15960,refute_0_15961]) ).

cnf(refute_0_15963,plain,
    product(product(product(a,c),B),product(c,D)) = product(product(product(a,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(product(product(product(product(a,c),c),c),product(c,bigC(c,a,c))),D)),product(product(product(a,c),c),product(B,D))) )],[refute_0_15952,refute_0_15962]) ).

cnf(refute_0_15964,plain,
    product(product(product(a,c),c),product(B,D)) = product(product(product(a,c),c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),product(B,D)))]]) ).

cnf(refute_0_15965,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),product(B,D)) != product(product(product(a,c),c),product(B,D))
    | product(product(product(a,c),c),product(B,D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),product(B,D)),product(product(product(a,c),c),product(B,D))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_15966,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),product(B,D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(B,D)),product(product(product(a,c),c),product(B,D))) )],[refute_0_15964,refute_0_15965]) ).

cnf(refute_0_15967,plain,
    product(product(product(a,c),c),product(B,D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_15966]) ).

cnf(refute_0_15968,plain,
    ( product(product(product(a,c),B),product(c,D)) != product(product(product(a,c),c),product(B,D))
    | product(product(product(a,c),c),product(B,D)) != product(product(a,product(b,c)),product(B,D))
    | product(product(product(a,c),B),product(c,D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(product(a,c),B),product(c,D)),product(product(a,product(b,c)),product(B,D))) ),[0],$fot(product(product(product(a,c),c),product(B,D)))]]) ).

cnf(refute_0_15969,plain,
    ( product(product(product(a,c),B),product(c,D)) != product(product(product(a,c),c),product(B,D))
    | product(product(product(a,c),B),product(c,D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(B,D)),product(product(a,product(b,c)),product(B,D))) )],[refute_0_15967,refute_0_15968]) ).

cnf(refute_0_15970,plain,
    product(product(product(a,c),B),product(c,D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),B),product(c,D)),product(product(product(a,c),c),product(B,D))) )],[refute_0_15963,refute_0_15969]) ).

cnf(refute_0_15971,plain,
    product(product(product(a,c),C),product(c,b)) = product(product(a,product(b,c)),product(C,b)),
    inference(subst,[],[refute_0_15970:[bind(B,$fot(C)),bind(D,$fot(b))]]) ).

cnf(refute_0_15972,plain,
    ( product(product(a,product(b,c)),product(C,b)) != product(product(a,C),bigC(b,c,b))
    | product(product(product(a,c),C),product(c,b)) != product(product(a,product(b,c)),product(C,b))
    | product(product(product(a,c),C),product(c,b)) = product(product(a,C),bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),C),product(c,b)))),bind(Y,$fot(product(product(a,product(b,c)),product(C,b)))),bind(Z,$fot(product(product(a,C),bigC(b,c,b))))]]) ).

cnf(refute_0_15973,plain,
    ( product(product(a,product(b,c)),product(C,b)) != product(product(a,C),bigC(b,c,b))
    | product(product(product(a,c),C),product(c,b)) = product(product(a,C),bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),product(c,b)),product(product(a,product(b,c)),product(C,b))) )],[refute_0_15971,refute_0_15972]) ).

cnf(refute_0_15974,plain,
    product(product(product(a,c),C),product(c,b)) = product(product(a,C),bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(C,b)),product(product(a,C),bigC(b,c,b))) )],[refute_0_15948,refute_0_15973]) ).

cnf(refute_0_15975,plain,
    product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,C),product(b,difference(c,product(a,b)))),
    inference(subst,[],[sos05:[bind(B,$fot(b)),bind(D,$fot(difference(c,product(a,b))))]]) ).

cnf(refute_0_15976,plain,
    bigC(quotient(b,c),c,c) = product(b,product(c,quotient(b,c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(b)),bind(X_22,$fot(c)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_15977,plain,
    ( bigC(quotient(b,c),c,c) != product(b,product(c,quotient(b,c)))
    | product(c,quotient(b,c)) != difference(c,product(a,b))
    | bigC(quotient(b,c),c,c) = product(b,difference(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(b,c),c,c),product(b,product(c,quotient(b,c)))) ),[1,1],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_15978,plain,
    ( bigC(quotient(b,c),c,c) != product(b,product(c,quotient(b,c)))
    | bigC(quotient(b,c),c,c) = product(b,difference(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_12363,refute_0_15977]) ).

cnf(refute_0_15979,plain,
    bigC(quotient(b,c),c,c) = product(b,difference(c,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(quotient(b,c),c,c),product(b,product(c,quotient(b,c)))) )],[refute_0_15976,refute_0_15978]) ).

cnf(refute_0_15980,plain,
    ( bigC(quotient(b,c),c,c) != product(b,difference(c,product(a,b)))
    | product(b,difference(c,product(a,b))) = bigC(quotient(b,c),c,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(quotient(b,c),c,c))),bind(Y,$fot(product(b,difference(c,product(a,b)))))]]) ).

cnf(refute_0_15981,plain,
    product(b,difference(c,product(a,b))) = bigC(quotient(b,c),c,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(b,c),c,c),product(b,difference(c,product(a,b)))) )],[refute_0_15979,refute_0_15980]) ).

cnf(refute_0_15982,plain,
    ( product(b,difference(c,product(a,b))) != bigC(quotient(b,c),c,c)
    | product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,C),product(b,difference(c,product(a,b))))
    | product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,C),bigC(quotient(b,c),c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,C),product(b,difference(c,product(a,b))))) ),[1,1],$fot(bigC(quotient(b,c),c,c))]]) ).

cnf(refute_0_15983,plain,
    ( product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,C),product(b,difference(c,product(a,b))))
    | product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,C),bigC(quotient(b,c),c,c)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(c,product(a,b))),bigC(quotient(b,c),c,c)) )],[refute_0_15981,refute_0_15982]) ).

cnf(refute_0_15984,plain,
    product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,C),bigC(quotient(b,c),c,c)),
    inference(resolve,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,C),product(b,difference(c,product(a,b))))) )],[refute_0_15975,refute_0_15983]) ).

cnf(refute_0_15985,plain,
    product(C,difference(c,product(a,b))) = product(C,difference(c,product(a,b))),
    introduced(tautology,[refl,[$fot(product(C,difference(c,product(a,b))))]]) ).

cnf(refute_0_15986,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(C,difference(c,product(a,b))) != product(C,difference(c,product(a,b)))
    | product(C,difference(c,product(a,b))) = product(C,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,difference(c,product(a,b))),product(C,difference(c,product(a,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_15987,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(C,difference(c,product(a,b))) = product(C,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(C,difference(c,product(a,b))),product(C,difference(c,product(a,b)))) )],[refute_0_15985,refute_0_15986]) ).

cnf(refute_0_15988,plain,
    product(C,difference(c,product(a,b))) = product(C,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15987]) ).

cnf(refute_0_15989,plain,
    product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,b),product(C,difference(c,product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(A,b),product(C,difference(c,product(a,b)))))]]) ).

cnf(refute_0_15990,plain,
    ( product(C,difference(c,product(a,b))) != product(C,quotient(c,a))
    | product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,b),product(C,difference(c,product(a,b))))
    | product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,b),product(C,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,b),product(C,difference(c,product(a,b))))) ),[1,1],$fot(product(C,quotient(c,a)))]]) ).

cnf(refute_0_15991,plain,
    ( product(C,difference(c,product(a,b))) != product(C,quotient(c,a))
    | product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,b),product(C,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,b),product(C,difference(c,product(a,b))))) )],[refute_0_15989,refute_0_15990]) ).

cnf(refute_0_15992,plain,
    product(product(A,b),product(C,difference(c,product(a,b)))) = product(product(A,b),product(C,quotient(c,a))),
    inference(resolve,[$cnf( $equal(product(C,difference(c,product(a,b))),product(C,quotient(c,a))) )],[refute_0_15988,refute_0_15991]) ).

cnf(refute_0_15993,plain,
    ( product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,C),bigC(quotient(b,c),c,c))
    | product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,b),product(C,quotient(c,a)))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),bigC(quotient(b,c),c,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,C),bigC(quotient(b,c),c,c))) ),[0],$fot(product(product(A,b),product(C,quotient(c,a))))]]) ).

cnf(refute_0_15994,plain,
    ( product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,C),bigC(quotient(b,c),c,c))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),bigC(quotient(b,c),c,c)) ),
    inference(resolve,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,b),product(C,quotient(c,a)))) )],[refute_0_15992,refute_0_15993]) ).

cnf(refute_0_15995,plain,
    product(b,difference(c,product(a,b))) = product(b,difference(c,product(a,b))),
    introduced(tautology,[refl,[$fot(product(b,difference(c,product(a,b))))]]) ).

cnf(refute_0_15996,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(b,difference(c,product(a,b))) != product(b,difference(c,product(a,b)))
    | product(b,difference(c,product(a,b))) = product(b,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(c,product(a,b))),product(b,difference(c,product(a,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_15997,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(b,difference(c,product(a,b))) = product(b,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(c,product(a,b))),product(b,difference(c,product(a,b)))) )],[refute_0_15995,refute_0_15996]) ).

cnf(refute_0_15998,plain,
    product(b,difference(c,product(a,b))) = product(b,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_15997]) ).

cnf(refute_0_15999,plain,
    ( bigC(quotient(b,c),c,c) != product(b,difference(c,product(a,b)))
    | product(b,difference(c,product(a,b))) != product(b,quotient(c,a))
    | bigC(quotient(b,c),c,c) = product(b,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(b,c),c,c),product(b,quotient(c,a))) ),[0],$fot(product(b,difference(c,product(a,b))))]]) ).

cnf(refute_0_16000,plain,
    ( bigC(quotient(b,c),c,c) != product(b,difference(c,product(a,b)))
    | bigC(quotient(b,c),c,c) = product(b,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(c,product(a,b))),product(b,quotient(c,a))) )],[refute_0_15998,refute_0_15999]) ).

cnf(refute_0_16001,plain,
    bigC(quotient(b,c),c,c) = product(b,quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(b,c),c,c),product(b,difference(c,product(a,b)))) )],[refute_0_15979,refute_0_16000]) ).

cnf(refute_0_16002,plain,
    product(product(A,C),bigC(quotient(b,c),c,c)) = product(product(A,C),bigC(quotient(b,c),c,c)),
    introduced(tautology,[refl,[$fot(product(product(A,C),bigC(quotient(b,c),c,c)))]]) ).

cnf(refute_0_16003,plain,
    ( bigC(quotient(b,c),c,c) != product(b,quotient(c,a))
    | product(product(A,C),bigC(quotient(b,c),c,c)) != product(product(A,C),bigC(quotient(b,c),c,c))
    | product(product(A,C),bigC(quotient(b,c),c,c)) = product(product(A,C),product(b,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),bigC(quotient(b,c),c,c)),product(product(A,C),bigC(quotient(b,c),c,c))) ),[1,1],$fot(product(b,quotient(c,a)))]]) ).

cnf(refute_0_16004,plain,
    ( bigC(quotient(b,c),c,c) != product(b,quotient(c,a))
    | product(product(A,C),bigC(quotient(b,c),c,c)) = product(product(A,C),product(b,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(quotient(b,c),c,c)),product(product(A,C),bigC(quotient(b,c),c,c))) )],[refute_0_16002,refute_0_16003]) ).

cnf(refute_0_16005,plain,
    product(product(A,C),bigC(quotient(b,c),c,c)) = product(product(A,C),product(b,quotient(c,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(b,c),c,c),product(b,quotient(c,a))) )],[refute_0_16001,refute_0_16004]) ).

cnf(refute_0_16006,plain,
    ( product(product(A,C),bigC(quotient(b,c),c,c)) != product(product(A,C),product(b,quotient(c,a)))
    | product(product(A,b),product(C,quotient(c,a))) != product(product(A,C),bigC(quotient(b,c),c,c))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(b,quotient(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,b),product(C,quotient(c,a))),product(product(A,C),bigC(quotient(b,c),c,c))) ),[1],$fot(product(product(A,C),product(b,quotient(c,a))))]]) ).

cnf(refute_0_16007,plain,
    ( product(product(A,b),product(C,quotient(c,a))) != product(product(A,C),bigC(quotient(b,c),c,c))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(b,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(quotient(b,c),c,c)),product(product(A,C),product(b,quotient(c,a)))) )],[refute_0_16005,refute_0_16006]) ).

cnf(refute_0_16008,plain,
    ( product(product(A,b),product(C,difference(c,product(a,b)))) != product(product(A,C),bigC(quotient(b,c),c,c))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(b,quotient(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(A,b),product(C,quotient(c,a))),product(product(A,C),bigC(quotient(b,c),c,c))) )],[refute_0_15994,refute_0_16007]) ).

cnf(refute_0_16009,plain,
    product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(b,quotient(c,a))),
    inference(resolve,[$cnf( $equal(product(product(A,b),product(C,difference(c,product(a,b)))),product(product(A,C),bigC(quotient(b,c),c,c))) )],[refute_0_15984,refute_0_16008]) ).

cnf(refute_0_16010,plain,
    product(b,difference(b,product(c,b))) = product(c,b),
    inference(subst,[],[sos02:[bind(A,$fot(b)),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_16011,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(b,difference(b,product(c,b))) != product(c,b)
    | product(b,quotient(c,a)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(b,product(c,b))),product(c,b)) ),[0,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_16012,plain,
    ( product(b,difference(b,product(c,b))) != product(c,b)
    | product(b,quotient(c,a)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_15747,refute_0_16011]) ).

cnf(refute_0_16013,plain,
    product(b,quotient(c,a)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(b,difference(b,product(c,b))),product(c,b)) )],[refute_0_16010,refute_0_16012]) ).

cnf(refute_0_16014,plain,
    product(product(A,C),product(b,quotient(c,a))) = product(product(A,C),product(b,quotient(c,a))),
    introduced(tautology,[refl,[$fot(product(product(A,C),product(b,quotient(c,a))))]]) ).

cnf(refute_0_16015,plain,
    ( product(b,quotient(c,a)) != product(c,b)
    | product(product(A,C),product(b,quotient(c,a))) != product(product(A,C),product(b,quotient(c,a)))
    | product(product(A,C),product(b,quotient(c,a))) = product(product(A,C),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(b,quotient(c,a))),product(product(A,C),product(b,quotient(c,a)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_16016,plain,
    ( product(b,quotient(c,a)) != product(c,b)
    | product(product(A,C),product(b,quotient(c,a))) = product(product(A,C),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(b,quotient(c,a))),product(product(A,C),product(b,quotient(c,a)))) )],[refute_0_16014,refute_0_16015]) ).

cnf(refute_0_16017,plain,
    product(product(A,C),product(b,quotient(c,a))) = product(product(A,C),product(c,b)),
    inference(resolve,[$cnf( $equal(product(b,quotient(c,a)),product(c,b)) )],[refute_0_16013,refute_0_16016]) ).

cnf(refute_0_16018,plain,
    ( product(product(A,C),product(b,quotient(c,a))) != product(product(A,C),product(c,b))
    | product(product(A,b),product(C,quotient(c,a))) != product(product(A,C),product(b,quotient(c,a)))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,b),product(C,quotient(c,a))),product(product(A,C),product(b,quotient(c,a)))) ),[1],$fot(product(product(A,C),product(c,b)))]]) ).

cnf(refute_0_16019,plain,
    ( product(product(A,b),product(C,quotient(c,a))) != product(product(A,C),product(b,quotient(c,a)))
    | product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(b,quotient(c,a))),product(product(A,C),product(c,b))) )],[refute_0_16017,refute_0_16018]) ).

cnf(refute_0_16020,plain,
    product(product(A,b),product(C,quotient(c,a))) = product(product(A,C),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(A,b),product(C,quotient(c,a))),product(product(A,C),product(b,quotient(c,a)))) )],[refute_0_16009,refute_0_16019]) ).

cnf(refute_0_16021,plain,
    product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(product(a,c),C),product(c,b)),
    inference(subst,[],[refute_0_16020:[bind(A,$fot(product(a,c)))]]) ).

cnf(refute_0_16022,plain,
    ( product(product(product(a,c),C),product(c,b)) != product(product(a,C),bigC(b,c,b))
    | product(product(product(a,c),b),product(C,quotient(c,a))) != product(product(product(a,c),C),product(c,b))
    | product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(a,C),bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(C,quotient(c,a))))),bind(Y,$fot(product(product(product(a,c),C),product(c,b)))),bind(Z,$fot(product(product(a,C),bigC(b,c,b))))]]) ).

cnf(refute_0_16023,plain,
    ( product(product(product(a,c),C),product(c,b)) != product(product(a,C),bigC(b,c,b))
    | product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(a,C),bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(C,quotient(c,a))),product(product(product(a,c),C),product(c,b))) )],[refute_0_16021,refute_0_16022]) ).

cnf(refute_0_16024,plain,
    product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(a,C),bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),C),product(c,b)),product(product(a,C),bigC(b,c,b))) )],[refute_0_15974,refute_0_16023]) ).

cnf(refute_0_16025,plain,
    ( product(product(a,C),bigC(b,c,b)) != product(product(a,C),bigC(b,b,c))
    | product(product(product(a,c),b),product(C,quotient(c,a))) != product(product(a,C),bigC(b,c,b))
    | product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(a,C),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(C,quotient(c,a))))),bind(Y,$fot(product(product(a,C),bigC(b,c,b)))),bind(Z,$fot(product(product(a,C),bigC(b,b,c))))]]) ).

cnf(refute_0_16026,plain,
    ( product(product(a,C),bigC(b,c,b)) != product(product(a,C),bigC(b,b,c))
    | product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(a,C),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(C,quotient(c,a))),product(product(a,C),bigC(b,c,b))) )],[refute_0_16024,refute_0_16025]) ).

cnf(refute_0_16027,plain,
    product(product(product(a,c),b),product(C,quotient(c,a))) = product(product(a,C),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,C),bigC(b,c,b)),product(product(a,C),bigC(b,b,c))) )],[refute_0_15947,refute_0_16026]) ).

cnf(refute_0_16028,plain,
    ( bigC(quotient(c,a),product(a,b),C) != product(product(product(a,c),b),product(C,quotient(c,a)))
    | product(product(product(a,c),b),product(C,quotient(c,a))) != product(product(a,C),bigC(b,b,c))
    | bigC(quotient(c,a),product(a,b),C) = product(product(a,C),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(c,a),product(a,b),C),product(product(a,C),bigC(b,b,c))) ),[0],$fot(product(product(product(a,c),b),product(C,quotient(c,a))))]]) ).

cnf(refute_0_16029,plain,
    ( bigC(quotient(c,a),product(a,b),C) != product(product(product(a,c),b),product(C,quotient(c,a)))
    | bigC(quotient(c,a),product(a,b),C) = product(product(a,C),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(C,quotient(c,a))),product(product(a,C),bigC(b,b,c))) )],[refute_0_16027,refute_0_16028]) ).

cnf(refute_0_16030,plain,
    bigC(quotient(c,a),product(a,b),C) = product(product(a,C),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),product(a,b),C),product(product(product(a,c),b),product(C,quotient(c,a)))) )],[refute_0_15943,refute_0_16029]) ).

cnf(refute_0_16031,plain,
    bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(product(a,quotient(c,a)),bigC(b,b,c)),
    inference(subst,[],[refute_0_16030:[bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_16032,plain,
    ( bigC(quotient(c,a),product(a,b),quotient(c,a)) != product(product(a,quotient(c,a)),bigC(b,b,c))
    | product(product(a,quotient(c,a)),bigC(b,b,c)) != product(difference(b,c),bigC(b,b,c))
    | bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(difference(b,c),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(c,a),product(a,b),quotient(c,a)))),bind(Y,$fot(product(product(a,quotient(c,a)),bigC(b,b,c)))),bind(Z,$fot(product(difference(b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_16033,plain,
    ( product(product(a,quotient(c,a)),bigC(b,b,c)) != product(difference(b,c),bigC(b,b,c))
    | bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(difference(b,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),product(a,b),quotient(c,a)),product(product(a,quotient(c,a)),bigC(b,b,c))) )],[refute_0_16031,refute_0_16032]) ).

cnf(refute_0_16034,plain,
    bigC(quotient(c,a),product(a,b),quotient(c,a)) = product(difference(b,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,a)),bigC(b,b,c)),product(difference(b,c),bigC(b,b,c))) )],[refute_0_15939,refute_0_16033]) ).

cnf(refute_0_16035,plain,
    ( bigC(quotient(c,a),product(a,b),quotient(c,a)) != product(difference(b,c),bigC(b,b,c))
    | bigC(quotient(c,a),product(a,b),quotient(c,a)) != product(product(product(a,c),b),quotient(c,a))
    | product(difference(b,c),bigC(b,b,c)) = product(product(product(a,c),b),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(c,a),product(a,b),quotient(c,a)),product(product(product(a,c),b),quotient(c,a))) ),[0],$fot(product(difference(b,c),bigC(b,b,c)))]]) ).

cnf(refute_0_16036,plain,
    ( bigC(quotient(c,a),product(a,b),quotient(c,a)) != product(product(product(a,c),b),quotient(c,a))
    | product(difference(b,c),bigC(b,b,c)) = product(product(product(a,c),b),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),product(a,b),quotient(c,a)),product(difference(b,c),bigC(b,b,c))) )],[refute_0_16034,refute_0_16035]) ).

cnf(refute_0_16037,plain,
    product(difference(b,c),bigC(b,b,c)) = product(product(product(a,c),b),quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(c,a),product(a,b),quotient(c,a)),product(product(product(a,c),b),quotient(c,a))) )],[refute_0_15935,refute_0_16036]) ).

cnf(refute_0_16038,plain,
    ( product(difference(b,c),bigC(b,b,c)) != product(product(product(a,c),b),quotient(c,a))
    | product(product(product(a,c),b),quotient(c,a)) = product(difference(b,c),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(difference(b,c),bigC(b,b,c)))),bind(Y,$fot(product(product(product(a,c),b),quotient(c,a))))]]) ).

cnf(refute_0_16039,plain,
    product(product(product(a,c),b),quotient(c,a)) = product(difference(b,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),bigC(b,b,c)),product(product(product(a,c),b),quotient(c,a))) )],[refute_0_16037,refute_0_16038]) ).

cnf(refute_0_16040,plain,
    product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))))]]) ).

cnf(refute_0_16041,plain,
    ( product(product(product(a,c),b),quotient(c,a)) != product(difference(b,c),bigC(b,b,c))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) ),[1,0],$fot(product(difference(b,c),bigC(b,b,c)))]]) ).

cnf(refute_0_16042,plain,
    ( product(product(product(a,c),b),quotient(c,a)) != product(difference(b,c),bigC(b,b,c))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b)))) )],[refute_0_16040,refute_0_16041]) ).

cnf(refute_0_16043,plain,
    product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),quotient(c,a)),product(difference(b,c),bigC(b,b,c))) )],[refute_0_16039,refute_0_16042]) ).

cnf(refute_0_16044,plain,
    ( product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b)))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))))),bind(Y,$fot(product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))))),bind(Z,$fot(product(difference(c,product(a,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_16045,plain,
    ( product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b)))) )],[refute_0_16043,refute_0_16044]) ).

cnf(refute_0_16046,plain,
    product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) = product(difference(c,product(a,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),bigC(b,b,c)),product(quotient(c,a),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(c,b))) )],[refute_0_15926,refute_0_16045]) ).

cnf(refute_0_16047,plain,
    ( product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != product(difference(c,product(a,product(c,b))),product(c,b))
    | product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != quotient(c,a)
    | product(difference(c,product(a,product(c,b))),product(c,b)) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),quotient(c,a)) ),[0],$fot(product(difference(c,product(a,product(c,b))),product(c,b)))]]) ).

cnf(refute_0_16048,plain,
    ( product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))) != quotient(c,a)
    | product(difference(c,product(a,product(c,b))),product(c,b)) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),product(difference(c,product(a,product(c,b))),product(c,b))) )],[refute_0_16046,refute_0_16047]) ).

cnf(refute_0_16049,plain,
    product(difference(c,product(a,product(c,b))),product(c,b)) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),b),quotient(c,a)),product(quotient(c,a),product(product(a,b),b))),quotient(c,a)) )],[refute_0_15683,refute_0_16048]) ).

cnf(refute_0_16050,plain,
    product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_16051,plain,
    ( product(difference(c,product(a,product(c,b))),product(c,b)) != quotient(c,a)
    | product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) != product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b)))
    | product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))),product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b)))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_16052,plain,
    ( product(difference(c,product(a,product(c,b))),product(c,b)) != quotient(c,a)
    | product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))),product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b)))) )],[refute_0_16050,refute_0_16051]) ).

cnf(refute_0_16053,plain,
    product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(c,b)),quotient(c,a)) )],[refute_0_16049,refute_0_16052]) ).

cnf(refute_0_16054,plain,
    product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,C),product(a,product(quotient(c,a),c))),
    inference(subst,[],[sos05:[bind(B,$fot(a)),bind(D,$fot(product(quotient(c,a),c)))]]) ).

cnf(refute_0_16055,plain,
    ( product(a,product(quotient(c,a),c)) != product(a,product(c,b))
    | product(product(A,a),product(C,product(quotient(c,a),c))) != product(product(A,C),product(a,product(quotient(c,a),c)))
    | product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,C),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,C),product(a,product(quotient(c,a),c)))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_16056,plain,
    ( product(product(A,a),product(C,product(quotient(c,a),c))) != product(product(A,C),product(a,product(quotient(c,a),c)))
    | product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,C),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,a),c)),product(a,product(c,b))) )],[refute_0_12350,refute_0_16055]) ).

cnf(refute_0_16057,plain,
    product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,C),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,C),product(a,product(quotient(c,a),c)))) )],[refute_0_16054,refute_0_16056]) ).

cnf(refute_0_16058,plain,
    product(C,product(quotient(c,a),c)) = product(C,product(quotient(c,a),c)),
    introduced(tautology,[refl,[$fot(product(C,product(quotient(c,a),c)))]]) ).

cnf(refute_0_16059,plain,
    ( product(C,product(quotient(c,a),c)) != product(C,product(quotient(c,a),c))
    | product(quotient(c,a),c) != product(c,b)
    | product(C,product(quotient(c,a),c)) = product(C,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(quotient(c,a),c)),product(C,product(quotient(c,a),c))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_16060,plain,
    ( product(quotient(c,a),c) != product(c,b)
    | product(C,product(quotient(c,a),c)) = product(C,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(C,product(quotient(c,a),c)),product(C,product(quotient(c,a),c))) )],[refute_0_16058,refute_0_16059]) ).

cnf(refute_0_16061,plain,
    product(C,product(quotient(c,a),c)) = product(C,product(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),c),product(c,b)) )],[refute_0_12358,refute_0_16060]) ).

cnf(refute_0_16062,plain,
    product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,a),product(C,product(quotient(c,a),c))),
    introduced(tautology,[refl,[$fot(product(product(A,a),product(C,product(quotient(c,a),c))))]]) ).

cnf(refute_0_16063,plain,
    ( product(C,product(quotient(c,a),c)) != product(C,product(c,b))
    | product(product(A,a),product(C,product(quotient(c,a),c))) != product(product(A,a),product(C,product(quotient(c,a),c)))
    | product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,a),product(C,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,a),product(C,product(quotient(c,a),c)))) ),[1,1],$fot(product(C,product(c,b)))]]) ).

cnf(refute_0_16064,plain,
    ( product(C,product(quotient(c,a),c)) != product(C,product(c,b))
    | product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,a),product(C,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,a),product(C,product(quotient(c,a),c)))) )],[refute_0_16062,refute_0_16063]) ).

cnf(refute_0_16065,plain,
    product(product(A,a),product(C,product(quotient(c,a),c))) = product(product(A,a),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(product(C,product(quotient(c,a),c)),product(C,product(c,b))) )],[refute_0_16061,refute_0_16064]) ).

cnf(refute_0_16066,plain,
    ( product(product(A,a),product(C,product(quotient(c,a),c))) != product(product(A,C),product(a,product(c,b)))
    | product(product(A,a),product(C,product(quotient(c,a),c))) != product(product(A,a),product(C,product(c,b)))
    | product(product(A,a),product(C,product(c,b))) = product(product(A,C),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,C),product(a,product(c,b)))) ),[0],$fot(product(product(A,a),product(C,product(c,b))))]]) ).

cnf(refute_0_16067,plain,
    ( product(product(A,a),product(C,product(quotient(c,a),c))) != product(product(A,C),product(a,product(c,b)))
    | product(product(A,a),product(C,product(c,b))) = product(product(A,C),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,a),product(C,product(c,b)))) )],[refute_0_16065,refute_0_16066]) ).

cnf(refute_0_16068,plain,
    product(product(A,a),product(C,product(c,b))) = product(product(A,C),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(quotient(c,a),c))),product(product(A,C),product(a,product(c,b)))) )],[refute_0_16057,refute_0_16067]) ).

cnf(refute_0_16069,plain,
    ( product(product(A,a),product(C,product(c,b))) != product(product(A,C),product(a,product(c,b)))
    | product(product(A,C),product(a,product(c,b))) = product(product(A,a),product(C,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,a),product(C,product(c,b))))),bind(Y,$fot(product(product(A,C),product(a,product(c,b)))))]]) ).

cnf(refute_0_16070,plain,
    product(product(A,C),product(a,product(c,b))) = product(product(A,a),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,a),product(C,product(c,b))),product(product(A,C),product(a,product(c,b)))) )],[refute_0_16068,refute_0_16069]) ).

cnf(refute_0_16071,plain,
    product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))),
    inference(subst,[],[refute_0_16070:[bind(A,$fot(difference(c,difference(product(c,a),a)))),bind(C,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_16072,plain,
    ( product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) != product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) != product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b)))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))))),bind(Y,$fot(product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))))),bind(Z,$fot(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a))))]]) ).

cnf(refute_0_16073,plain,
    ( product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))) != product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))),product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b)))) )],[refute_0_16071,refute_0_16072]) ).

cnf(refute_0_16074,plain,
    product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) = product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),product(difference(c,product(a,product(c,b))),product(c,b))),product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a))) )],[refute_0_16053,refute_0_16073]) ).

cnf(refute_0_16075,plain,
    ( product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) != difference(c,product(a,product(c,b)))
    | product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) != product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a))
    | product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))),difference(c,product(a,product(c,b)))) ),[0],$fot(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)))]]) ).

cnf(refute_0_16076,plain,
    ( product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))) != difference(c,product(a,product(c,b)))
    | product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))),product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a))) )],[refute_0_16074,refute_0_16075]) ).

cnf(refute_0_16077,plain,
    product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),difference(c,product(a,product(c,b)))),product(a,product(c,b))),difference(c,product(a,product(c,b)))) )],[refute_0_15500,refute_0_16076]) ).

cnf(refute_0_16078,plain,
    ( product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) != difference(c,product(a,product(c,b)))
    | quotient(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),quotient(c,a)) != product(difference(c,difference(product(c,a),a)),a)
    | quotient(difference(c,product(a,product(c,b))),quotient(c,a)) = product(difference(c,difference(product(c,a),a)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),quotient(c,a)),product(difference(c,difference(product(c,a),a)),a)) ),[0,0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_16079,plain,
    ( quotient(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),quotient(c,a)) != product(difference(c,difference(product(c,a),a)),a)
    | quotient(difference(c,product(a,product(c,b))),quotient(c,a)) = product(difference(c,difference(product(c,a),a)),a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),difference(c,product(a,product(c,b)))) )],[refute_0_16077,refute_0_16078]) ).

cnf(refute_0_16080,plain,
    quotient(difference(c,product(a,product(c,b))),quotient(c,a)) = product(difference(c,difference(product(c,a),a)),a),
    inference(resolve,[$cnf( $equal(quotient(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),quotient(c,a)),product(difference(c,difference(product(c,a),a)),a)) )],[refute_0_742,refute_0_16079]) ).

cnf(refute_0_16081,plain,
    quotient(difference(c,product(a,product(c,b))),difference(difference(b,c),difference(c,product(a,product(c,b))))) = difference(b,c),
    inference(subst,[],[refute_0_362:[bind(B,$fot(difference(c,product(a,product(c,b))))),bind(X_6,$fot(difference(b,c)))]]) ).

cnf(refute_0_16082,plain,
    difference(difference(b,c),difference(product(c,difference(b,c)),difference(b,c))) = product(difference(b,c),quotient(c,difference(b,c))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(difference(b,c))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_16083,plain,
    ( difference(difference(b,c),difference(product(c,difference(b,c)),difference(b,c))) != product(difference(b,c),quotient(c,difference(b,c)))
    | product(c,difference(b,c)) != product(a,c)
    | difference(difference(b,c),difference(product(a,c),difference(b,c))) = product(difference(b,c),quotient(c,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,c),difference(product(c,difference(b,c)),difference(b,c))),product(difference(b,c),quotient(c,difference(b,c)))) ),[0,1,0],$fot(product(a,c))]]) ).

cnf(refute_0_16084,plain,
    ( difference(difference(b,c),difference(product(c,difference(b,c)),difference(b,c))) != product(difference(b,c),quotient(c,difference(b,c)))
    | difference(difference(b,c),difference(product(a,c),difference(b,c))) = product(difference(b,c),quotient(c,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(b,c)),product(a,c)) )],[refute_0_15903,refute_0_16083]) ).

cnf(refute_0_16085,plain,
    difference(difference(b,c),difference(product(a,c),difference(b,c))) = product(difference(b,c),quotient(c,difference(b,c))),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),difference(product(c,difference(b,c)),difference(b,c))),product(difference(b,c),quotient(c,difference(b,c)))) )],[refute_0_16082,refute_0_16084]) ).

cnf(refute_0_16086,plain,
    difference(difference(b,c),difference(product(a,c),difference(b,c))) = difference(difference(b,c),difference(product(a,c),difference(b,c))),
    introduced(tautology,[refl,[$fot(difference(difference(b,c),difference(product(a,c),difference(b,c))))]]) ).

cnf(refute_0_16087,plain,
    ( difference(difference(b,c),difference(product(a,c),difference(b,c))) != difference(difference(b,c),difference(product(a,c),difference(b,c)))
    | difference(product(a,c),difference(b,c)) != difference(c,product(a,product(c,b)))
    | difference(difference(b,c),difference(product(a,c),difference(b,c))) = difference(difference(b,c),difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,c),difference(product(a,c),difference(b,c))),difference(difference(b,c),difference(product(a,c),difference(b,c)))) ),[1,1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_16088,plain,
    ( difference(product(a,c),difference(b,c)) != difference(c,product(a,product(c,b)))
    | difference(difference(b,c),difference(product(a,c),difference(b,c))) = difference(difference(b,c),difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),difference(product(a,c),difference(b,c))),difference(difference(b,c),difference(product(a,c),difference(b,c)))) )],[refute_0_16086,refute_0_16087]) ).

cnf(refute_0_16089,plain,
    difference(difference(b,c),difference(product(a,c),difference(b,c))) = difference(difference(b,c),difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(b,c)),difference(c,product(a,product(c,b)))) )],[refute_0_15759,refute_0_16088]) ).

cnf(refute_0_16090,plain,
    ( difference(difference(b,c),difference(product(a,c),difference(b,c))) != difference(difference(b,c),difference(c,product(a,product(c,b))))
    | difference(difference(b,c),difference(product(a,c),difference(b,c))) != product(difference(b,c),quotient(c,difference(b,c)))
    | difference(difference(b,c),difference(c,product(a,product(c,b)))) = product(difference(b,c),quotient(c,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(b,c),difference(product(a,c),difference(b,c))),product(difference(b,c),quotient(c,difference(b,c)))) ),[0],$fot(difference(difference(b,c),difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_16091,plain,
    ( difference(difference(b,c),difference(product(a,c),difference(b,c))) != product(difference(b,c),quotient(c,difference(b,c)))
    | difference(difference(b,c),difference(c,product(a,product(c,b)))) = product(difference(b,c),quotient(c,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),difference(product(a,c),difference(b,c))),difference(difference(b,c),difference(c,product(a,product(c,b))))) )],[refute_0_16089,refute_0_16090]) ).

cnf(refute_0_16092,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(difference(b,c),b) != difference(b,product(c,b))
    | product(difference(b,c),b) = quotient(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(b,c),b))),bind(Y,$fot(difference(b,product(c,b)))),bind(Z,$fot(quotient(c,a)))]]) ).

cnf(refute_0_16093,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | product(difference(b,c),b) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),difference(b,product(c,b))) )],[refute_0_15737,refute_0_16092]) ).

cnf(refute_0_16094,plain,
    product(difference(b,c),b) = quotient(c,a),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_15747,refute_0_16093]) ).

cnf(refute_0_16095,plain,
    quotient(c,difference(b,c)) = b,
    inference(subst,[],[refute_0_362:[bind(B,$fot(c)),bind(X_6,$fot(b))]]) ).

cnf(refute_0_16096,plain,
    product(difference(b,c),quotient(c,difference(b,c))) = product(difference(b,c),quotient(c,difference(b,c))),
    introduced(tautology,[refl,[$fot(product(difference(b,c),quotient(c,difference(b,c))))]]) ).

cnf(refute_0_16097,plain,
    ( product(difference(b,c),quotient(c,difference(b,c))) != product(difference(b,c),quotient(c,difference(b,c)))
    | quotient(c,difference(b,c)) != b
    | product(difference(b,c),quotient(c,difference(b,c))) = product(difference(b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,c),quotient(c,difference(b,c))),product(difference(b,c),quotient(c,difference(b,c)))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_16098,plain,
    ( quotient(c,difference(b,c)) != b
    | product(difference(b,c),quotient(c,difference(b,c))) = product(difference(b,c),b) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),quotient(c,difference(b,c))),product(difference(b,c),quotient(c,difference(b,c)))) )],[refute_0_16096,refute_0_16097]) ).

cnf(refute_0_16099,plain,
    product(difference(b,c),quotient(c,difference(b,c))) = product(difference(b,c),b),
    inference(resolve,[$cnf( $equal(quotient(c,difference(b,c)),b) )],[refute_0_16095,refute_0_16098]) ).

cnf(refute_0_16100,plain,
    ( product(difference(b,c),b) != quotient(c,a)
    | product(difference(b,c),quotient(c,difference(b,c))) != product(difference(b,c),b)
    | product(difference(b,c),quotient(c,difference(b,c))) = quotient(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(b,c),quotient(c,difference(b,c))))),bind(Y,$fot(product(difference(b,c),b))),bind(Z,$fot(quotient(c,a)))]]) ).

cnf(refute_0_16101,plain,
    ( product(difference(b,c),b) != quotient(c,a)
    | product(difference(b,c),quotient(c,difference(b,c))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),quotient(c,difference(b,c))),product(difference(b,c),b)) )],[refute_0_16099,refute_0_16100]) ).

cnf(refute_0_16102,plain,
    product(difference(b,c),quotient(c,difference(b,c))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),quotient(c,a)) )],[refute_0_16094,refute_0_16101]) ).

cnf(refute_0_16103,plain,
    ( difference(difference(b,c),difference(c,product(a,product(c,b)))) != product(difference(b,c),quotient(c,difference(b,c)))
    | product(difference(b,c),quotient(c,difference(b,c))) != quotient(c,a)
    | difference(difference(b,c),difference(c,product(a,product(c,b)))) = quotient(c,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(difference(b,c),difference(c,product(a,product(c,b)))),quotient(c,a)) ),[0],$fot(product(difference(b,c),quotient(c,difference(b,c))))]]) ).

cnf(refute_0_16104,plain,
    ( difference(difference(b,c),difference(c,product(a,product(c,b)))) != product(difference(b,c),quotient(c,difference(b,c)))
    | difference(difference(b,c),difference(c,product(a,product(c,b)))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),quotient(c,difference(b,c))),quotient(c,a)) )],[refute_0_16102,refute_0_16103]) ).

cnf(refute_0_16105,plain,
    ( difference(difference(b,c),difference(product(a,c),difference(b,c))) != product(difference(b,c),quotient(c,difference(b,c)))
    | difference(difference(b,c),difference(c,product(a,product(c,b)))) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),difference(c,product(a,product(c,b)))),product(difference(b,c),quotient(c,difference(b,c)))) )],[refute_0_16091,refute_0_16104]) ).

cnf(refute_0_16106,plain,
    difference(difference(b,c),difference(c,product(a,product(c,b)))) = quotient(c,a),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),difference(product(a,c),difference(b,c))),product(difference(b,c),quotient(c,difference(b,c)))) )],[refute_0_16085,refute_0_16105]) ).

cnf(refute_0_16107,plain,
    ( difference(difference(b,c),difference(c,product(a,product(c,b)))) != quotient(c,a)
    | quotient(difference(c,product(a,product(c,b))),difference(difference(b,c),difference(c,product(a,product(c,b))))) != difference(b,c)
    | quotient(difference(c,product(a,product(c,b))),quotient(c,a)) = difference(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),difference(difference(b,c),difference(c,product(a,product(c,b))))),difference(b,c)) ),[0,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_16108,plain,
    ( quotient(difference(c,product(a,product(c,b))),difference(difference(b,c),difference(c,product(a,product(c,b))))) != difference(b,c)
    | quotient(difference(c,product(a,product(c,b))),quotient(c,a)) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),difference(c,product(a,product(c,b)))),quotient(c,a)) )],[refute_0_16106,refute_0_16107]) ).

cnf(refute_0_16109,plain,
    quotient(difference(c,product(a,product(c,b))),quotient(c,a)) = difference(b,c),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),difference(difference(b,c),difference(c,product(a,product(c,b))))),difference(b,c)) )],[refute_0_16081,refute_0_16108]) ).

cnf(refute_0_16110,plain,
    ( quotient(difference(c,product(a,product(c,b))),quotient(c,a)) != difference(b,c)
    | quotient(difference(c,product(a,product(c,b))),quotient(c,a)) != product(difference(c,difference(product(c,a),a)),a)
    | difference(b,c) = product(difference(c,difference(product(c,a),a)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),quotient(c,a)),product(difference(c,difference(product(c,a),a)),a)) ),[0],$fot(difference(b,c))]]) ).

cnf(refute_0_16111,plain,
    ( quotient(difference(c,product(a,product(c,b))),quotient(c,a)) != product(difference(c,difference(product(c,a),a)),a)
    | difference(b,c) = product(difference(c,difference(product(c,a),a)),a) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),quotient(c,a)),difference(b,c)) )],[refute_0_16109,refute_0_16110]) ).

cnf(refute_0_16112,plain,
    difference(b,c) = product(difference(c,difference(product(c,a),a)),a),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),quotient(c,a)),product(difference(c,difference(product(c,a),a)),a)) )],[refute_0_16080,refute_0_16111]) ).

cnf(refute_0_16113,plain,
    ( difference(b,c) != product(difference(c,difference(product(c,a),a)),a)
    | product(difference(c,difference(product(c,a),a)),a) = difference(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,c))),bind(Y,$fot(product(difference(c,difference(product(c,a),a)),a)))]]) ).

cnf(refute_0_16114,plain,
    product(difference(c,difference(product(c,a),a)),a) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(b,c),product(difference(c,difference(product(c,a),a)),a)) )],[refute_0_16112,refute_0_16113]) ).

cnf(refute_0_16115,plain,
    ( bigC(difference(c,difference(product(c,a),a)),a,c) != product(product(difference(c,difference(product(c,a),a)),a),difference(product(c,a),a))
    | product(difference(c,difference(product(c,a),a)),a) != difference(b,c)
    | bigC(difference(c,difference(product(c,a),a)),a,c) = product(difference(b,c),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),product(product(difference(c,difference(product(c,a),a)),a),difference(product(c,a),a))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16116,plain,
    ( bigC(difference(c,difference(product(c,a),a)),a,c) != product(product(difference(c,difference(product(c,a),a)),a),difference(product(c,a),a))
    | bigC(difference(c,difference(product(c,a),a)),a,c) = product(difference(b,c),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(product(c,a),a)),a),difference(b,c)) )],[refute_0_16114,refute_0_16115]) ).

cnf(refute_0_16117,plain,
    bigC(difference(c,difference(product(c,a),a)),a,c) = product(difference(b,c),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),product(product(difference(c,difference(product(c,a),a)),a),difference(product(c,a),a))) )],[refute_0_741,refute_0_16116]) ).

cnf(refute_0_16118,plain,
    quotient(product(difference(c,difference(product(c,a),a)),a),a) = difference(c,difference(product(c,a),a)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(c,difference(product(c,a),a)))),bind(B,$fot(a))]]) ).

cnf(refute_0_16119,plain,
    ( product(difference(c,difference(product(c,a),a)),a) != difference(b,c)
    | quotient(product(difference(c,difference(product(c,a),a)),a),a) != difference(c,difference(product(c,a),a))
    | quotient(difference(b,c),a) = difference(c,difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(c,difference(product(c,a),a)),a),a),difference(c,difference(product(c,a),a))) ),[0,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16120,plain,
    ( quotient(product(difference(c,difference(product(c,a),a)),a),a) != difference(c,difference(product(c,a),a))
    | quotient(difference(b,c),a) = difference(c,difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(product(c,a),a)),a),difference(b,c)) )],[refute_0_16114,refute_0_16119]) ).

cnf(refute_0_16121,plain,
    quotient(difference(b,c),a) = difference(c,difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(c,difference(product(c,a),a)),a),a),difference(c,difference(product(c,a),a))) )],[refute_0_16118,refute_0_16120]) ).

cnf(refute_0_16122,plain,
    ( quotient(difference(b,c),a) != difference(c,difference(product(c,a),a))
    | difference(c,difference(product(c,a),a)) = quotient(difference(b,c),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(difference(b,c),a))),bind(Y,$fot(difference(c,difference(product(c,a),a))))]]) ).

cnf(refute_0_16123,plain,
    difference(c,difference(product(c,a),a)) = quotient(difference(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(difference(b,c),a),difference(c,difference(product(c,a),a))) )],[refute_0_16121,refute_0_16122]) ).

cnf(refute_0_16124,plain,
    bigC(difference(c,difference(product(c,a),a)),a,c) = bigC(difference(c,difference(product(c,a),a)),a,c),
    introduced(tautology,[refl,[$fot(bigC(difference(c,difference(product(c,a),a)),a,c))]]) ).

cnf(refute_0_16125,plain,
    ( bigC(difference(c,difference(product(c,a),a)),a,c) != bigC(difference(c,difference(product(c,a),a)),a,c)
    | difference(c,difference(product(c,a),a)) != quotient(difference(b,c),a)
    | bigC(difference(c,difference(product(c,a),a)),a,c) = bigC(quotient(difference(b,c),a),a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),bigC(difference(c,difference(product(c,a),a)),a,c)) ),[1,0],$fot(quotient(difference(b,c),a))]]) ).

cnf(refute_0_16126,plain,
    ( difference(c,difference(product(c,a),a)) != quotient(difference(b,c),a)
    | bigC(difference(c,difference(product(c,a),a)),a,c) = bigC(quotient(difference(b,c),a),a,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),bigC(difference(c,difference(product(c,a),a)),a,c)) )],[refute_0_16124,refute_0_16125]) ).

cnf(refute_0_16127,plain,
    bigC(difference(c,difference(product(c,a),a)),a,c) = bigC(quotient(difference(b,c),a),a,c),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(b,c),a)) )],[refute_0_16123,refute_0_16126]) ).

cnf(refute_0_16128,plain,
    ( bigC(difference(c,difference(product(c,a),a)),a,c) != bigC(quotient(difference(b,c),a),a,c)
    | bigC(difference(c,difference(product(c,a),a)),a,c) != product(difference(b,c),difference(product(c,a),a))
    | bigC(quotient(difference(b,c),a),a,c) = product(difference(b,c),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),product(difference(b,c),difference(product(c,a),a))) ),[0],$fot(bigC(quotient(difference(b,c),a),a,c))]]) ).

cnf(refute_0_16129,plain,
    ( bigC(difference(c,difference(product(c,a),a)),a,c) != product(difference(b,c),difference(product(c,a),a))
    | bigC(quotient(difference(b,c),a),a,c) = product(difference(b,c),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),bigC(quotient(difference(b,c),a),a,c)) )],[refute_0_16127,refute_0_16128]) ).

cnf(refute_0_16130,plain,
    bigC(c,difference(c,B),difference(b,quotient(c,b))) = product(B,product(difference(b,quotient(c,b)),c)),
    inference(subst,[],[refute_0_84:[bind(X_21,$fot(c)),bind(X_23,$fot(difference(b,quotient(c,b))))]]) ).

cnf(refute_0_16131,plain,
    ( difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(c,bigC(a,a,c)) != product(difference(quotient(c,b),quotient(a,c)),c)
    | difference(product(c,a),a) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,a,c)),product(difference(quotient(c,b),quotient(a,c)),c)) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16132,plain,
    ( difference(c,bigC(a,a,c)) != product(difference(quotient(c,b),quotient(a,c)),c)
    | difference(product(c,a),a) = product(difference(quotient(c,b),quotient(a,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),difference(product(c,a),a)) )],[refute_0_15441,refute_0_16131]) ).

cnf(refute_0_16133,plain,
    difference(product(c,a),a) = product(difference(quotient(c,b),quotient(a,c)),c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_15272,refute_0_16132]) ).

cnf(refute_0_16134,plain,
    difference(b,product(b,difference(quotient(c,b),quotient(a,c)))) = difference(quotient(c,b),quotient(a,c)),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_16135,plain,
    difference(c,product(c,product(b,difference(quotient(c,b),quotient(a,c))))) = product(b,difference(quotient(c,b),quotient(a,c))),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(b,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_16136,plain,
    difference(product(a,c),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,c))),bind(B,$fot(product(c,product(b,difference(quotient(c,b),quotient(a,c))))))]]) ).

cnf(refute_0_16137,plain,
    product(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = c,
    inference(subst,[],[sos07:[bind(A,$fot(difference(quotient(c,b),quotient(a,c)))),bind(B,$fot(c))]]) ).

cnf(refute_0_16138,plain,
    ( product(product(difference(quotient(c,b),quotient(a,c)),c),c) != product(a,product(c,b))
    | product(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) != c
    | product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(c,product(c,difference(quotient(c,b),quotient(a,c))))),c) ),[0,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_16139,plain,
    ( product(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) != c
    | product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = c ),
    inference(resolve,[$cnf( $equal(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(a,product(c,b))) )],[refute_0_2634,refute_0_16138]) ).

cnf(refute_0_16140,plain,
    product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(difference(quotient(c,b),quotient(a,c)),c),c),product(c,product(c,difference(quotient(c,b),quotient(a,c))))),c) )],[refute_0_16137,refute_0_16139]) ).

cnf(refute_0_16141,plain,
    product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_16142,plain,
    product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))))]]) ).

cnf(refute_0_16143,plain,
    ( product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) != product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))))
    | product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))),product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))))) ),[1,1],$fot(product(c,product(b,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_16144,plain,
    ( product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))),product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))))) )],[refute_0_16142,refute_0_16143]) ).

cnf(refute_0_16145,plain,
    product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_16141,refute_0_16144]) ).

cnf(refute_0_16146,plain,
    product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))),
    inference(subst,[],[refute_0_5268:[bind(B,$fot(c)),bind(D,$fot(product(c,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_16147,plain,
    ( product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) != product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))
    | product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) != product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))))
    | product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))))),bind(Y,$fot(product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))))),bind(Z,$fot(product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))))]]) ).

cnf(refute_0_16148,plain,
    ( product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))) != product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))
    | product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))),product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c)))))) )],[refute_0_16146,refute_0_16147]) ).

cnf(refute_0_16149,plain,
    product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) = product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),product(c,difference(quotient(c,b),quotient(a,c))))),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))) )],[refute_0_16145,refute_0_16148]) ).

cnf(refute_0_16150,plain,
    ( product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) != c
    | product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) != product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))
    | product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))),c) ),[0],$fot(product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))))]]) ).

cnf(refute_0_16151,plain,
    ( product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))) != c
    | product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))) )],[refute_0_16149,refute_0_16150]) ).

cnf(refute_0_16152,plain,
    product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) = c,
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(c,product(c,difference(quotient(c,b),quotient(a,c))))),c) )],[refute_0_16140,refute_0_16151]) ).

cnf(refute_0_16153,plain,
    ( difference(product(a,c),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) != c
    | difference(product(a,c),c) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_16154,plain,
    ( difference(product(a,c),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | difference(product(a,c),c) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))),c) )],[refute_0_16152,refute_0_16153]) ).

cnf(refute_0_16155,plain,
    difference(product(a,c),c) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,c),product(c,product(b,difference(quotient(c,b),quotient(a,c)))))),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_16136,refute_0_16154]) ).

cnf(refute_0_16156,plain,
    ( difference(product(a,c),c) != product(b,a)
    | difference(product(a,c),c) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | product(b,a) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) ),[0],$fot(product(b,a))]]) ).

cnf(refute_0_16157,plain,
    ( difference(product(a,c),c) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | product(b,a) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),c),product(b,a)) )],[refute_0_1955,refute_0_16156]) ).

cnf(refute_0_16158,plain,
    product(b,a) = product(c,product(b,difference(quotient(c,b),quotient(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),c),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_16155,refute_0_16157]) ).

cnf(refute_0_16159,plain,
    ( product(b,a) != product(c,product(b,difference(quotient(c,b),quotient(a,c))))
    | product(c,product(b,difference(quotient(c,b),quotient(a,c)))) = product(b,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,a))),bind(Y,$fot(product(c,product(b,difference(quotient(c,b),quotient(a,c))))))]]) ).

cnf(refute_0_16160,plain,
    product(c,product(b,difference(quotient(c,b),quotient(a,c)))) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,a),product(c,product(b,difference(quotient(c,b),quotient(a,c))))) )],[refute_0_16158,refute_0_16159]) ).

cnf(refute_0_16161,plain,
    ( difference(c,product(c,product(b,difference(quotient(c,b),quotient(a,c))))) != product(b,difference(quotient(c,b),quotient(a,c)))
    | product(c,product(b,difference(quotient(c,b),quotient(a,c)))) != product(b,a)
    | difference(c,product(b,a)) = product(b,difference(quotient(c,b),quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(b,difference(quotient(c,b),quotient(a,c))))),product(b,difference(quotient(c,b),quotient(a,c)))) ),[0,1],$fot(product(b,a))]]) ).

cnf(refute_0_16162,plain,
    ( difference(c,product(c,product(b,difference(quotient(c,b),quotient(a,c))))) != product(b,difference(quotient(c,b),quotient(a,c)))
    | difference(c,product(b,a)) = product(b,difference(quotient(c,b),quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,difference(quotient(c,b),quotient(a,c)))),product(b,a)) )],[refute_0_16160,refute_0_16161]) ).

cnf(refute_0_16163,plain,
    difference(c,product(b,a)) = product(b,difference(quotient(c,b),quotient(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(b,difference(quotient(c,b),quotient(a,c))))),product(b,difference(quotient(c,b),quotient(a,c)))) )],[refute_0_16135,refute_0_16162]) ).

cnf(refute_0_16164,plain,
    ( difference(c,product(b,a)) != product(b,difference(quotient(c,b),quotient(a,c)))
    | difference(c,product(b,a)) != quotient(c,b)
    | quotient(c,b) = product(b,difference(quotient(c,b),quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(b,a)),product(b,difference(quotient(c,b),quotient(a,c)))) ),[0],$fot(quotient(c,b))]]) ).

cnf(refute_0_16165,plain,
    ( difference(c,product(b,a)) != product(b,difference(quotient(c,b),quotient(a,c)))
    | quotient(c,b) = product(b,difference(quotient(c,b),quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_16164]) ).

cnf(refute_0_16166,plain,
    quotient(c,b) = product(b,difference(quotient(c,b),quotient(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),product(b,difference(quotient(c,b),quotient(a,c)))) )],[refute_0_16163,refute_0_16165]) ).

cnf(refute_0_16167,plain,
    ( quotient(c,b) != product(b,difference(quotient(c,b),quotient(a,c)))
    | product(b,difference(quotient(c,b),quotient(a,c))) = quotient(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(c,b))),bind(Y,$fot(product(b,difference(quotient(c,b),quotient(a,c)))))]]) ).

cnf(refute_0_16168,plain,
    product(b,difference(quotient(c,b),quotient(a,c))) = quotient(c,b),
    inference(resolve,[$cnf( $equal(quotient(c,b),product(b,difference(quotient(c,b),quotient(a,c)))) )],[refute_0_16166,refute_0_16167]) ).

cnf(refute_0_16169,plain,
    ( difference(b,product(b,difference(quotient(c,b),quotient(a,c)))) != difference(quotient(c,b),quotient(a,c))
    | product(b,difference(quotient(c,b),quotient(a,c))) != quotient(c,b)
    | difference(b,quotient(c,b)) = difference(quotient(c,b),quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,difference(quotient(c,b),quotient(a,c)))),difference(quotient(c,b),quotient(a,c))) ),[0,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_16170,plain,
    ( difference(b,product(b,difference(quotient(c,b),quotient(a,c)))) != difference(quotient(c,b),quotient(a,c))
    | difference(b,quotient(c,b)) = difference(quotient(c,b),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(quotient(c,b),quotient(a,c))),quotient(c,b)) )],[refute_0_16168,refute_0_16169]) ).

cnf(refute_0_16171,plain,
    difference(b,quotient(c,b)) = difference(quotient(c,b),quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(b,product(b,difference(quotient(c,b),quotient(a,c)))),difference(quotient(c,b),quotient(a,c))) )],[refute_0_16134,refute_0_16170]) ).

cnf(refute_0_16172,plain,
    ( difference(b,quotient(c,b)) != difference(quotient(c,b),quotient(a,c))
    | difference(quotient(c,b),quotient(a,c)) = difference(b,quotient(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,quotient(c,b)))),bind(Y,$fot(difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_16173,plain,
    difference(quotient(c,b),quotient(a,c)) = difference(b,quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(b,quotient(c,b)),difference(quotient(c,b),quotient(a,c))) )],[refute_0_16171,refute_0_16172]) ).

cnf(refute_0_16174,plain,
    product(difference(quotient(c,b),quotient(a,c)),c) = product(difference(quotient(c,b),quotient(a,c)),c),
    introduced(tautology,[refl,[$fot(product(difference(quotient(c,b),quotient(a,c)),c))]]) ).

cnf(refute_0_16175,plain,
    ( difference(quotient(c,b),quotient(a,c)) != difference(b,quotient(c,b))
    | product(difference(quotient(c,b),quotient(a,c)),c) != product(difference(quotient(c,b),quotient(a,c)),c)
    | product(difference(quotient(c,b),quotient(a,c)),c) = product(difference(b,quotient(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),product(difference(quotient(c,b),quotient(a,c)),c)) ),[1,0],$fot(difference(b,quotient(c,b)))]]) ).

cnf(refute_0_16176,plain,
    ( difference(quotient(c,b),quotient(a,c)) != difference(b,quotient(c,b))
    | product(difference(quotient(c,b),quotient(a,c)),c) = product(difference(b,quotient(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_16174,refute_0_16175]) ).

cnf(refute_0_16177,plain,
    product(difference(quotient(c,b),quotient(a,c)),c) = product(difference(b,quotient(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),quotient(a,c)),difference(b,quotient(c,b))) )],[refute_0_16173,refute_0_16176]) ).

cnf(refute_0_16178,plain,
    ( difference(product(c,a),a) != product(difference(quotient(c,b),quotient(a,c)),c)
    | product(difference(quotient(c,b),quotient(a,c)),c) != product(difference(b,quotient(c,b)),c)
    | difference(product(c,a),a) = product(difference(b,quotient(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,a),a),product(difference(b,quotient(c,b)),c)) ),[0],$fot(product(difference(quotient(c,b),quotient(a,c)),c))]]) ).

cnf(refute_0_16179,plain,
    ( difference(product(c,a),a) != product(difference(quotient(c,b),quotient(a,c)),c)
    | difference(product(c,a),a) = product(difference(b,quotient(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),product(difference(b,quotient(c,b)),c)) )],[refute_0_16177,refute_0_16178]) ).

cnf(refute_0_16180,plain,
    difference(product(c,a),a) = product(difference(b,quotient(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_16133,refute_0_16179]) ).

cnf(refute_0_16181,plain,
    ( difference(product(c,a),a) != product(difference(b,quotient(c,b)),c)
    | product(difference(b,quotient(c,b)),c) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(product(difference(b,quotient(c,b)),c)))]]) ).

cnf(refute_0_16182,plain,
    product(difference(b,quotient(c,b)),c) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),product(difference(b,quotient(c,b)),c)) )],[refute_0_16180,refute_0_16181]) ).

cnf(refute_0_16183,plain,
    ( bigC(c,difference(c,B),difference(b,quotient(c,b))) != product(B,product(difference(b,quotient(c,b)),c))
    | product(difference(b,quotient(c,b)),c) != difference(product(c,a),a)
    | bigC(c,difference(c,B),difference(b,quotient(c,b))) = product(B,difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,B),difference(b,quotient(c,b))),product(B,product(difference(b,quotient(c,b)),c))) ),[1,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16184,plain,
    ( bigC(c,difference(c,B),difference(b,quotient(c,b))) != product(B,product(difference(b,quotient(c,b)),c))
    | bigC(c,difference(c,B),difference(b,quotient(c,b))) = product(B,difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,quotient(c,b)),c),difference(product(c,a),a)) )],[refute_0_16182,refute_0_16183]) ).

cnf(refute_0_16185,plain,
    bigC(c,difference(c,B),difference(b,quotient(c,b))) = product(B,difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,quotient(c,b))),product(B,product(difference(b,quotient(c,b)),c))) )],[refute_0_16130,refute_0_16184]) ).

cnf(refute_0_16186,plain,
    bigC(a,difference(c,B),a) = bigC(a,a,difference(c,B)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(difference(c,B)))]]) ).

cnf(refute_0_16187,plain,
    bigC(c,X_22,quotient(quotient(c,difference(c,product(b,product(c,a)))),c)) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(quotient(c,difference(c,product(b,product(c,a)))))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_16188,plain,
    quotient(quotient(c,product(c,quotient(product(quotient(c,b),a),c))),c) = difference(c,product(quotient(product(quotient(c,b),a),c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(quotient(product(quotient(c,b),a),c)))]]) ).

cnf(refute_0_16189,plain,
    difference(c,difference(product(difference(product(b,a),quotient(c,b)),c),c)) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(difference(product(b,a),quotient(c,b))))]]) ).

cnf(refute_0_16190,plain,
    ( difference(c,difference(product(difference(product(b,a),quotient(c,b)),c),c)) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | product(difference(product(b,a),quotient(c,b)),c) != bigC(a,a,c)
    | difference(c,difference(bigC(a,a,c),c)) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(difference(product(b,a),quotient(c,b)),c),c)),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) ),[0,1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_16191,plain,
    ( difference(c,difference(product(difference(product(b,a),quotient(c,b)),c),c)) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | difference(c,difference(bigC(a,a,c),c)) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),quotient(c,b)),c),bigC(a,a,c)) )],[refute_0_12238,refute_0_16190]) ).

cnf(refute_0_16192,plain,
    difference(c,difference(bigC(a,a,c),c)) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(difference(product(b,a),quotient(c,b)),c),c)),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) )],[refute_0_16189,refute_0_16191]) ).

cnf(refute_0_16193,plain,
    difference(c,difference(bigC(a,a,c),c)) = difference(c,difference(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(bigC(a,a,c),c)))]]) ).

cnf(refute_0_16194,plain,
    ( difference(bigC(a,a,c),c) != product(b,product(c,a))
    | difference(c,difference(bigC(a,a,c),c)) != difference(c,difference(bigC(a,a,c),c))
    | difference(c,difference(bigC(a,a,c),c)) = difference(c,product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(bigC(a,a,c),c)),difference(c,difference(bigC(a,a,c),c))) ),[1,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_16195,plain,
    ( difference(bigC(a,a,c),c) != product(b,product(c,a))
    | difference(c,difference(bigC(a,a,c),c)) = difference(c,product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(bigC(a,a,c),c)),difference(c,difference(bigC(a,a,c),c))) )],[refute_0_16193,refute_0_16194]) ).

cnf(refute_0_16196,plain,
    difference(c,difference(bigC(a,a,c),c)) = difference(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),c),product(b,product(c,a))) )],[refute_0_11957,refute_0_16195]) ).

cnf(refute_0_16197,plain,
    ( difference(c,difference(bigC(a,a,c),c)) != difference(c,product(b,product(c,a)))
    | difference(c,difference(bigC(a,a,c),c)) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | difference(c,product(b,product(c,a))) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(bigC(a,a,c),c)),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) ),[0],$fot(difference(c,product(b,product(c,a))))]]) ).

cnf(refute_0_16198,plain,
    ( difference(c,difference(bigC(a,a,c),c)) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | difference(c,product(b,product(c,a))) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(bigC(a,a,c),c)),difference(c,product(b,product(c,a)))) )],[refute_0_16196,refute_0_16197]) ).

cnf(refute_0_16199,plain,
    difference(c,product(b,product(c,a))) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(bigC(a,a,c),c)),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) )],[refute_0_16192,refute_0_16198]) ).

cnf(refute_0_16200,plain,
    ( quotient(bigC(a,a,c),c) != difference(product(b,a),quotient(c,b))
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(quotient(c,b),a) = difference(product(b,a),quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,c),c),difference(product(b,a),quotient(c,b))) ),[0],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_16201,plain,
    ( quotient(bigC(a,a,c),c) != difference(product(b,a),quotient(c,b))
    | product(quotient(c,b),a) = difference(product(b,a),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_16200]) ).

cnf(refute_0_16202,plain,
    product(quotient(c,b),a) = difference(product(b,a),quotient(c,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),difference(product(b,a),quotient(c,b))) )],[refute_0_12241,refute_0_16201]) ).

cnf(refute_0_16203,plain,
    ( product(quotient(c,b),a) != difference(product(b,a),quotient(c,b))
    | difference(product(b,a),quotient(c,b)) = product(quotient(c,b),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(quotient(c,b),a))),bind(Y,$fot(difference(product(b,a),quotient(c,b))))]]) ).

cnf(refute_0_16204,plain,
    difference(product(b,a),quotient(c,b)) = product(quotient(c,b),a),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),a),difference(product(b,a),quotient(c,b))) )],[refute_0_16202,refute_0_16203]) ).

cnf(refute_0_16205,plain,
    quotient(difference(product(b,a),quotient(c,b)),c) = quotient(difference(product(b,a),quotient(c,b)),c),
    introduced(tautology,[refl,[$fot(quotient(difference(product(b,a),quotient(c,b)),c))]]) ).

cnf(refute_0_16206,plain,
    ( difference(product(b,a),quotient(c,b)) != product(quotient(c,b),a)
    | quotient(difference(product(b,a),quotient(c,b)),c) != quotient(difference(product(b,a),quotient(c,b)),c)
    | quotient(difference(product(b,a),quotient(c,b)),c) = quotient(product(quotient(c,b),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(b,a),quotient(c,b)),c),quotient(difference(product(b,a),quotient(c,b)),c)) ),[1,0],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_16207,plain,
    ( difference(product(b,a),quotient(c,b)) != product(quotient(c,b),a)
    | quotient(difference(product(b,a),quotient(c,b)),c) = quotient(product(quotient(c,b),a),c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(b,a),quotient(c,b)),c),quotient(difference(product(b,a),quotient(c,b)),c)) )],[refute_0_16205,refute_0_16206]) ).

cnf(refute_0_16208,plain,
    quotient(difference(product(b,a),quotient(c,b)),c) = quotient(product(quotient(c,b),a),c),
    inference(resolve,[$cnf( $equal(difference(product(b,a),quotient(c,b)),product(quotient(c,b),a)) )],[refute_0_16204,refute_0_16207]) ).

cnf(refute_0_16209,plain,
    product(c,quotient(difference(product(b,a),quotient(c,b)),c)) = product(c,quotient(difference(product(b,a),quotient(c,b)),c)),
    introduced(tautology,[refl,[$fot(product(c,quotient(difference(product(b,a),quotient(c,b)),c)))]]) ).

cnf(refute_0_16210,plain,
    ( product(c,quotient(difference(product(b,a),quotient(c,b)),c)) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | quotient(difference(product(b,a),quotient(c,b)),c) != quotient(product(quotient(c,b),a),c)
    | product(c,quotient(difference(product(b,a),quotient(c,b)),c)) = product(c,quotient(product(quotient(c,b),a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,quotient(difference(product(b,a),quotient(c,b)),c)),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) ),[1,1],$fot(quotient(product(quotient(c,b),a),c))]]) ).

cnf(refute_0_16211,plain,
    ( quotient(difference(product(b,a),quotient(c,b)),c) != quotient(product(quotient(c,b),a),c)
    | product(c,quotient(difference(product(b,a),quotient(c,b)),c)) = product(c,quotient(product(quotient(c,b),a),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(product(b,a),quotient(c,b)),c)),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) )],[refute_0_16209,refute_0_16210]) ).

cnf(refute_0_16212,plain,
    product(c,quotient(difference(product(b,a),quotient(c,b)),c)) = product(c,quotient(product(quotient(c,b),a),c)),
    inference(resolve,[$cnf( $equal(quotient(difference(product(b,a),quotient(c,b)),c),quotient(product(quotient(c,b),a),c)) )],[refute_0_16208,refute_0_16211]) ).

cnf(refute_0_16213,plain,
    ( difference(c,product(b,product(c,a))) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | product(c,quotient(difference(product(b,a),quotient(c,b)),c)) != product(c,quotient(product(quotient(c,b),a),c))
    | difference(c,product(b,product(c,a))) = product(c,quotient(product(quotient(c,b),a),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,product(b,product(c,a))),product(c,quotient(product(quotient(c,b),a),c))) ),[0],$fot(product(c,quotient(difference(product(b,a),quotient(c,b)),c)))]]) ).

cnf(refute_0_16214,plain,
    ( difference(c,product(b,product(c,a))) != product(c,quotient(difference(product(b,a),quotient(c,b)),c))
    | difference(c,product(b,product(c,a))) = product(c,quotient(product(quotient(c,b),a),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(product(b,a),quotient(c,b)),c)),product(c,quotient(product(quotient(c,b),a),c))) )],[refute_0_16212,refute_0_16213]) ).

cnf(refute_0_16215,plain,
    difference(c,product(b,product(c,a))) = product(c,quotient(product(quotient(c,b),a),c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,product(c,a))),product(c,quotient(difference(product(b,a),quotient(c,b)),c))) )],[refute_0_16199,refute_0_16214]) ).

cnf(refute_0_16216,plain,
    ( difference(c,product(b,product(c,a))) != product(c,quotient(product(quotient(c,b),a),c))
    | product(c,quotient(product(quotient(c,b),a),c)) = difference(c,product(b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(b,product(c,a))))),bind(Y,$fot(product(c,quotient(product(quotient(c,b),a),c))))]]) ).

cnf(refute_0_16217,plain,
    product(c,quotient(product(quotient(c,b),a),c)) = difference(c,product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(c,product(b,product(c,a))),product(c,quotient(product(quotient(c,b),a),c))) )],[refute_0_16215,refute_0_16216]) ).

cnf(refute_0_16218,plain,
    ( product(c,quotient(product(quotient(c,b),a),c)) != difference(c,product(b,product(c,a)))
    | quotient(quotient(c,product(c,quotient(product(quotient(c,b),a),c))),c) != difference(c,product(quotient(product(quotient(c,b),a),c),c))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(quotient(product(quotient(c,b),a),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,quotient(product(quotient(c,b),a),c))),c),difference(c,product(quotient(product(quotient(c,b),a),c),c))) ),[0,0,1],$fot(difference(c,product(b,product(c,a))))]]) ).

cnf(refute_0_16219,plain,
    ( quotient(quotient(c,product(c,quotient(product(quotient(c,b),a),c))),c) != difference(c,product(quotient(product(quotient(c,b),a),c),c))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(quotient(product(quotient(c,b),a),c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(quotient(c,b),a),c)),difference(c,product(b,product(c,a)))) )],[refute_0_16217,refute_0_16218]) ).

cnf(refute_0_16220,plain,
    quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(quotient(product(quotient(c,b),a),c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,quotient(product(quotient(c,b),a),c))),c),difference(c,product(quotient(product(quotient(c,b),a),c),c))) )],[refute_0_16188,refute_0_16219]) ).

cnf(refute_0_16221,plain,
    product(quotient(product(quotient(c,b),a),c),c) = product(quotient(c,b),a),
    inference(subst,[],[sos04:[bind(A,$fot(product(quotient(c,b),a))),bind(B,$fot(c))]]) ).

cnf(refute_0_16222,plain,
    difference(c,product(quotient(product(quotient(c,b),a),c),c)) = difference(c,product(quotient(product(quotient(c,b),a),c),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(product(quotient(c,b),a),c),c)))]]) ).

cnf(refute_0_16223,plain,
    ( difference(c,product(quotient(product(quotient(c,b),a),c),c)) != difference(c,product(quotient(product(quotient(c,b),a),c),c))
    | product(quotient(product(quotient(c,b),a),c),c) != product(quotient(c,b),a)
    | difference(c,product(quotient(product(quotient(c,b),a),c),c)) = difference(c,product(quotient(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(product(quotient(c,b),a),c),c)),difference(c,product(quotient(product(quotient(c,b),a),c),c))) ),[1,1],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_16224,plain,
    ( product(quotient(product(quotient(c,b),a),c),c) != product(quotient(c,b),a)
    | difference(c,product(quotient(product(quotient(c,b),a),c),c)) = difference(c,product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(product(quotient(c,b),a),c),c)),difference(c,product(quotient(product(quotient(c,b),a),c),c))) )],[refute_0_16222,refute_0_16223]) ).

cnf(refute_0_16225,plain,
    difference(c,product(quotient(product(quotient(c,b),a),c),c)) = difference(c,product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(product(quotient(product(quotient(c,b),a),c),c),product(quotient(c,b),a)) )],[refute_0_16221,refute_0_16224]) ).

cnf(refute_0_16226,plain,
    ( difference(c,product(quotient(product(quotient(c,b),a),c),c)) != difference(c,product(quotient(c,b),a))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) != difference(c,product(quotient(product(quotient(c,b),a),c),c))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(quotient(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),difference(c,product(quotient(product(quotient(c,b),a),c),c))) ),[1],$fot(difference(c,product(quotient(c,b),a)))]]) ).

cnf(refute_0_16227,plain,
    ( quotient(quotient(c,difference(c,product(b,product(c,a)))),c) != difference(c,product(quotient(product(quotient(c,b),a),c),c))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(product(quotient(c,b),a),c),c)),difference(c,product(quotient(c,b),a))) )],[refute_0_16225,refute_0_16226]) ).

cnf(refute_0_16228,plain,
    quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),difference(c,product(quotient(product(quotient(c,b),a),c),c))) )],[refute_0_16220,refute_0_16227]) ).

cnf(refute_0_16229,plain,
    difference(c,product(quotient(c,b),a)) = difference(c,product(quotient(c,b),a)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(c,b),a)))]]) ).

cnf(refute_0_16230,plain,
    ( difference(c,product(quotient(c,b),a)) != difference(c,product(quotient(c,b),a))
    | product(quotient(c,b),a) != product(a,quotient(a,c))
    | difference(c,product(quotient(c,b),a)) = difference(c,product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(c,b),a)),difference(c,product(quotient(c,b),a))) ),[1,1],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_16231,plain,
    ( product(quotient(c,b),a) != product(a,quotient(a,c))
    | difference(c,product(quotient(c,b),a)) = difference(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(c,b),a)),difference(c,product(quotient(c,b),a))) )],[refute_0_16229,refute_0_16230]) ).

cnf(refute_0_16232,plain,
    difference(c,product(quotient(c,b),a)) = difference(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),a),product(a,quotient(a,c))) )],[refute_0_14305,refute_0_16231]) ).

cnf(refute_0_16233,plain,
    ( difference(c,product(quotient(c,b),a)) != difference(c,product(a,quotient(a,c)))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) != difference(c,product(quotient(c,b),a))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(a,quotient(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),difference(c,product(quotient(c,b),a))) ),[1],$fot(difference(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_16234,plain,
    ( quotient(quotient(c,difference(c,product(b,product(c,a)))),c) != difference(c,product(quotient(c,b),a))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(a,quotient(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(c,b),a)),difference(c,product(a,quotient(a,c)))) )],[refute_0_16232,refute_0_16233]) ).

cnf(refute_0_16235,plain,
    quotient(quotient(c,difference(c,product(b,product(c,a)))),c) = difference(c,product(a,quotient(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),difference(c,product(quotient(c,b),a))) )],[refute_0_16228,refute_0_16234]) ).

cnf(refute_0_16236,plain,
    ( bigC(c,X_22,quotient(quotient(c,difference(c,product(b,product(c,a)))),c)) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) != difference(c,product(a,quotient(a,c)))
    | bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,quotient(quotient(c,difference(c,product(b,product(c,a)))),c)),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) ),[0,2],$fot(difference(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_16237,plain,
    ( bigC(c,X_22,quotient(quotient(c,difference(c,product(b,product(c,a)))),c)) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),difference(c,product(a,quotient(a,c)))) )],[refute_0_16235,refute_0_16236]) ).

cnf(refute_0_16238,plain,
    bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,quotient(quotient(c,difference(c,product(b,product(c,a)))),c)),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) )],[refute_0_16187,refute_0_16237]) ).

cnf(refute_0_16239,plain,
    product(product(a,X_22),a) = bigC(a,X_22,a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a))]]) ).

cnf(refute_0_16240,plain,
    product(product(X_63,X_64),product(quotient(A,X_66),X_66)) = product(product(X_63,quotient(A,X_66)),product(X_64,X_66)),
    inference(subst,[],[sos05:[bind(A,$fot(X_63)),bind(B,$fot(X_64)),bind(C,$fot(quotient(A,X_66))),bind(D,$fot(X_66))]]) ).

cnf(refute_0_16241,plain,
    product(quotient(A,X_66),X_66) = A,
    inference(subst,[],[sos04:[bind(B,$fot(X_66))]]) ).

cnf(refute_0_16242,plain,
    ( product(product(X_63,X_64),product(quotient(A,X_66),X_66)) != product(product(X_63,quotient(A,X_66)),product(X_64,X_66))
    | product(quotient(A,X_66),X_66) != A
    | product(product(X_63,X_64),A) = product(product(X_63,quotient(A,X_66)),product(X_64,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(X_63,X_64),product(quotient(A,X_66),X_66)),product(product(X_63,quotient(A,X_66)),product(X_64,X_66))) ),[0,1],$fot(A)]]) ).

cnf(refute_0_16243,plain,
    ( product(product(X_63,X_64),product(quotient(A,X_66),X_66)) != product(product(X_63,quotient(A,X_66)),product(X_64,X_66))
    | product(product(X_63,X_64),A) = product(product(X_63,quotient(A,X_66)),product(X_64,X_66)) ),
    inference(resolve,[$cnf( $equal(product(quotient(A,X_66),X_66),A) )],[refute_0_16241,refute_0_16242]) ).

cnf(refute_0_16244,plain,
    product(product(X_63,X_64),A) = product(product(X_63,quotient(A,X_66)),product(X_64,X_66)),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),product(quotient(A,X_66),X_66)),product(product(X_63,quotient(A,X_66)),product(X_64,X_66))) )],[refute_0_16240,refute_0_16243]) ).

cnf(refute_0_16245,plain,
    ( product(product(X_63,X_64),A) != product(product(X_63,quotient(A,X_66)),product(X_64,X_66))
    | product(product(X_63,quotient(A,X_66)),product(X_64,X_66)) = product(product(X_63,X_64),A) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(X_63,X_64),A))),bind(Y,$fot(product(product(X_63,quotient(A,X_66)),product(X_64,X_66))))]]) ).

cnf(refute_0_16246,plain,
    product(product(X_63,quotient(A,X_66)),product(X_64,X_66)) = product(product(X_63,X_64),A),
    inference(resolve,[$cnf( $equal(product(product(X_63,X_64),A),product(product(X_63,quotient(A,X_66)),product(X_64,X_66))) )],[refute_0_16244,refute_0_16245]) ).

cnf(refute_0_16247,plain,
    product(product(a,quotient(a,c)),product(X_22,c)) = product(product(a,X_22),a),
    inference(subst,[],[refute_0_16246:[bind(A,$fot(a)),bind(X_63,$fot(a)),bind(X_64,$fot(X_22)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_16248,plain,
    ( product(product(a,X_22),a) != bigC(a,X_22,a)
    | product(product(a,quotient(a,c)),product(X_22,c)) != product(product(a,X_22),a)
    | product(product(a,quotient(a,c)),product(X_22,c)) = bigC(a,X_22,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,quotient(a,c)),product(X_22,c)))),bind(Y,$fot(product(product(a,X_22),a))),bind(Z,$fot(bigC(a,X_22,a)))]]) ).

cnf(refute_0_16249,plain,
    ( product(product(a,X_22),a) != bigC(a,X_22,a)
    | product(product(a,quotient(a,c)),product(X_22,c)) = bigC(a,X_22,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),product(X_22,c)),product(product(a,X_22),a)) )],[refute_0_16247,refute_0_16248]) ).

cnf(refute_0_16250,plain,
    product(product(a,quotient(a,c)),product(X_22,c)) = bigC(a,X_22,a),
    inference(resolve,[$cnf( $equal(product(product(a,X_22),a),bigC(a,X_22,a)) )],[refute_0_16239,refute_0_16249]) ).

cnf(refute_0_16251,plain,
    bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = product(product(a,quotient(a,c)),product(X_22,c)),
    inference(subst,[],[refute_0_777:[bind(B,$fot(product(a,quotient(a,c)))),bind(X_21,$fot(c)),bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_16252,plain,
    ( bigC(c,X_22,difference(c,product(a,quotient(a,c)))) != product(product(a,quotient(a,c)),product(X_22,c))
    | product(product(a,quotient(a,c)),product(X_22,c)) != bigC(a,X_22,a)
    | bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = bigC(a,X_22,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,X_22,difference(c,product(a,quotient(a,c)))))),bind(Y,$fot(product(product(a,quotient(a,c)),product(X_22,c)))),bind(Z,$fot(bigC(a,X_22,a)))]]) ).

cnf(refute_0_16253,plain,
    ( product(product(a,quotient(a,c)),product(X_22,c)) != bigC(a,X_22,a)
    | bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = bigC(a,X_22,a) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(a,quotient(a,c)))),product(product(a,quotient(a,c)),product(X_22,c))) )],[refute_0_16251,refute_0_16252]) ).

cnf(refute_0_16254,plain,
    bigC(c,X_22,difference(c,product(a,quotient(a,c)))) = bigC(a,X_22,a),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),product(X_22,c)),bigC(a,X_22,a)) )],[refute_0_16250,refute_0_16253]) ).

cnf(refute_0_16255,plain,
    ( bigC(c,X_22,difference(c,product(a,quotient(a,c)))) != bigC(a,X_22,a)
    | bigC(c,X_22,difference(c,product(a,quotient(a,c)))) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | bigC(a,X_22,a) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,difference(c,product(a,quotient(a,c)))),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) ),[0],$fot(bigC(a,X_22,a))]]) ).

cnf(refute_0_16256,plain,
    ( bigC(c,X_22,difference(c,product(a,quotient(a,c)))) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | bigC(a,X_22,a) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(a,quotient(a,c)))),bigC(a,X_22,a)) )],[refute_0_16254,refute_0_16255]) ).

cnf(refute_0_16257,plain,
    bigC(a,X_22,a) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(a,quotient(a,c)))),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) )],[refute_0_16238,refute_0_16256]) ).

cnf(refute_0_16258,plain,
    bigC(c,B,difference(quotient(c,b),quotient(a,c))) = product(product(c,B),product(difference(quotient(c,b),quotient(a,c)),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_16259,plain,
    ( difference(product(c,a),a) != product(difference(quotient(c,b),quotient(a,c)),c)
    | product(difference(quotient(c,b),quotient(a,c)),c) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(product(difference(quotient(c,b),quotient(a,c)),c)))]]) ).

cnf(refute_0_16260,plain,
    product(difference(quotient(c,b),quotient(a,c)),c) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),product(difference(quotient(c,b),quotient(a,c)),c)) )],[refute_0_16133,refute_0_16259]) ).

cnf(refute_0_16261,plain,
    ( bigC(c,B,difference(quotient(c,b),quotient(a,c))) != product(product(c,B),product(difference(quotient(c,b),quotient(a,c)),c))
    | product(difference(quotient(c,b),quotient(a,c)),c) != difference(product(c,a),a)
    | bigC(c,B,difference(quotient(c,b),quotient(a,c))) = product(product(c,B),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),product(product(c,B),product(difference(quotient(c,b),quotient(a,c)),c))) ),[1,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16262,plain,
    ( bigC(c,B,difference(quotient(c,b),quotient(a,c))) != product(product(c,B),product(difference(quotient(c,b),quotient(a,c)),c))
    | bigC(c,B,difference(quotient(c,b),quotient(a,c))) = product(product(c,B),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),c),difference(product(c,a),a)) )],[refute_0_16260,refute_0_16261]) ).

cnf(refute_0_16263,plain,
    bigC(c,B,difference(quotient(c,b),quotient(a,c))) = product(product(c,B),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),product(product(c,B),product(difference(quotient(c,b),quotient(a,c)),c))) )],[refute_0_16258,refute_0_16262]) ).

cnf(refute_0_16264,plain,
    bigC(c,B,difference(quotient(c,b),quotient(a,c))) = bigC(c,B,difference(quotient(c,b),quotient(a,c))),
    introduced(tautology,[refl,[$fot(bigC(c,B,difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_16265,plain,
    ( bigC(c,B,difference(quotient(c,b),quotient(a,c))) != bigC(c,B,difference(quotient(c,b),quotient(a,c)))
    | difference(quotient(c,b),quotient(a,c)) != difference(b,quotient(c,b))
    | bigC(c,B,difference(quotient(c,b),quotient(a,c))) = bigC(c,B,difference(b,quotient(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),bigC(c,B,difference(quotient(c,b),quotient(a,c)))) ),[1,2],$fot(difference(b,quotient(c,b)))]]) ).

cnf(refute_0_16266,plain,
    ( difference(quotient(c,b),quotient(a,c)) != difference(b,quotient(c,b))
    | bigC(c,B,difference(quotient(c,b),quotient(a,c))) = bigC(c,B,difference(b,quotient(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),bigC(c,B,difference(quotient(c,b),quotient(a,c)))) )],[refute_0_16264,refute_0_16265]) ).

cnf(refute_0_16267,plain,
    bigC(c,B,difference(quotient(c,b),quotient(a,c))) = bigC(c,B,difference(b,quotient(c,b))),
    inference(resolve,[$cnf( $equal(difference(quotient(c,b),quotient(a,c)),difference(b,quotient(c,b))) )],[refute_0_16173,refute_0_16266]) ).

cnf(refute_0_16268,plain,
    ( bigC(c,B,difference(quotient(c,b),quotient(a,c))) != bigC(c,B,difference(b,quotient(c,b)))
    | bigC(c,B,difference(quotient(c,b),quotient(a,c))) != product(product(c,B),difference(product(c,a),a))
    | bigC(c,B,difference(b,quotient(c,b))) = product(product(c,B),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),product(product(c,B),difference(product(c,a),a))) ),[0],$fot(bigC(c,B,difference(b,quotient(c,b))))]]) ).

cnf(refute_0_16269,plain,
    ( bigC(c,B,difference(quotient(c,b),quotient(a,c))) != product(product(c,B),difference(product(c,a),a))
    | bigC(c,B,difference(b,quotient(c,b))) = product(product(c,B),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),bigC(c,B,difference(b,quotient(c,b)))) )],[refute_0_16267,refute_0_16268]) ).

cnf(refute_0_16270,plain,
    bigC(c,B,difference(b,quotient(c,b))) = product(product(c,B),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(quotient(c,b),quotient(a,c))),product(product(c,B),difference(product(c,a),a))) )],[refute_0_16263,refute_0_16269]) ).

cnf(refute_0_16271,plain,
    ( bigC(c,B,difference(b,quotient(c,b))) != product(product(c,B),difference(product(c,a),a))
    | product(product(c,B),difference(product(c,a),a)) = bigC(c,B,difference(b,quotient(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,B,difference(b,quotient(c,b))))),bind(Y,$fot(product(product(c,B),difference(product(c,a),a))))]]) ).

cnf(refute_0_16272,plain,
    product(product(c,B),difference(product(c,a),a)) = bigC(c,B,difference(b,quotient(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(b,quotient(c,b))),product(product(c,B),difference(product(c,a),a))) )],[refute_0_16270,refute_0_16271]) ).

cnf(refute_0_16273,plain,
    product(product(c,X_22),difference(product(c,a),a)) = bigC(c,X_22,difference(b,quotient(c,b))),
    inference(subst,[],[refute_0_16272:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_16274,plain,
    product(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),c) = quotient(c,difference(c,product(b,product(c,a)))),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(c,difference(c,product(b,product(c,a)))))),bind(B,$fot(c))]]) ).

cnf(refute_0_16275,plain,
    ( product(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),c) != quotient(c,difference(c,product(b,product(c,a))))
    | quotient(quotient(c,difference(c,product(b,product(c,a)))),c) != difference(c,product(a,quotient(a,c)))
    | product(difference(c,product(a,quotient(a,c))),c) = quotient(c,difference(c,product(b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),c),quotient(c,difference(c,product(b,product(c,a))))) ),[0,0],$fot(difference(c,product(a,quotient(a,c))))]]) ).

cnf(refute_0_16276,plain,
    ( product(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),c) != quotient(c,difference(c,product(b,product(c,a))))
    | product(difference(c,product(a,quotient(a,c))),c) = quotient(c,difference(c,product(b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),difference(c,product(a,quotient(a,c)))) )],[refute_0_16235,refute_0_16275]) ).

cnf(refute_0_16277,plain,
    product(difference(c,product(a,quotient(a,c))),c) = quotient(c,difference(c,product(b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,difference(c,product(b,product(c,a)))),c),c),quotient(c,difference(c,product(b,product(c,a))))) )],[refute_0_16274,refute_0_16276]) ).

cnf(refute_0_16278,plain,
    bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(c,quotient(product(a,b),c)),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(c)),bind(X_22,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_16279,plain,
    ( bigC(c,quotient(product(a,b),c),quotient(A,c)) != product(product(c,quotient(product(a,b),c)),A)
    | product(c,quotient(product(a,b),c)) != product(a,c)
    | bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(a,c),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(product(a,b),c),quotient(A,c)),product(product(c,quotient(product(a,b),c)),A)) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_16280,plain,
    ( bigC(c,quotient(product(a,b),c),quotient(A,c)) != product(product(c,quotient(product(a,b),c)),A)
    | bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(a,c),A) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,b),c)),product(a,c)) )],[refute_0_8152,refute_0_16279]) ).

cnf(refute_0_16281,plain,
    bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(a,c),A),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),quotient(A,c)),product(product(c,quotient(product(a,b),c)),A)) )],[refute_0_16278,refute_0_16280]) ).

cnf(refute_0_16282,plain,
    product(product(c,quotient(A,c)),product(a,b)) = product(product(c,a),product(quotient(A,c),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(quotient(A,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_16283,plain,
    bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(c,quotient(A,c)),product(a,b)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(a,b))),bind(X_21,$fot(c)),bind(X_22,$fot(quotient(A,c)))]]) ).

cnf(refute_0_16284,plain,
    ( bigC(c,quotient(product(a,b),c),quotient(A,c)) != product(product(c,quotient(A,c)),product(a,b))
    | product(product(c,quotient(A,c)),product(a,b)) != product(product(c,a),product(quotient(A,c),b))
    | bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(c,a),product(quotient(A,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,quotient(product(a,b),c),quotient(A,c)))),bind(Y,$fot(product(product(c,quotient(A,c)),product(a,b)))),bind(Z,$fot(product(product(c,a),product(quotient(A,c),b))))]]) ).

cnf(refute_0_16285,plain,
    ( product(product(c,quotient(A,c)),product(a,b)) != product(product(c,a),product(quotient(A,c),b))
    | bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(c,a),product(quotient(A,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),quotient(A,c)),product(product(c,quotient(A,c)),product(a,b))) )],[refute_0_16283,refute_0_16284]) ).

cnf(refute_0_16286,plain,
    bigC(c,quotient(product(a,b),c),quotient(A,c)) = product(product(c,a),product(quotient(A,c),b)),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(A,c)),product(a,b)),product(product(c,a),product(quotient(A,c),b))) )],[refute_0_16282,refute_0_16285]) ).

cnf(refute_0_16287,plain,
    ( bigC(c,quotient(product(a,b),c),quotient(A,c)) != product(product(a,c),A)
    | bigC(c,quotient(product(a,b),c),quotient(A,c)) != product(product(c,a),product(quotient(A,c),b))
    | product(product(c,a),product(quotient(A,c),b)) = product(product(a,c),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(product(a,b),c),quotient(A,c)),product(product(a,c),A)) ),[0],$fot(product(product(c,a),product(quotient(A,c),b)))]]) ).

cnf(refute_0_16288,plain,
    ( bigC(c,quotient(product(a,b),c),quotient(A,c)) != product(product(a,c),A)
    | product(product(c,a),product(quotient(A,c),b)) = product(product(a,c),A) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),quotient(A,c)),product(product(c,a),product(quotient(A,c),b))) )],[refute_0_16286,refute_0_16287]) ).

cnf(refute_0_16289,plain,
    product(product(c,a),product(quotient(A,c),b)) = product(product(a,c),A),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),quotient(A,c)),product(product(a,c),A)) )],[refute_0_16281,refute_0_16288]) ).

cnf(refute_0_16290,plain,
    product(product(c,a),product(quotient(A,c),b)) = product(product(a,quotient(A,c)),c),
    inference(subst,[],[refute_0_8194:[bind(X_22,$fot(quotient(A,c)))]]) ).

cnf(refute_0_16291,plain,
    ( product(product(c,a),product(quotient(A,c),b)) != product(product(a,c),A)
    | product(product(c,a),product(quotient(A,c),b)) != product(product(a,quotient(A,c)),c)
    | product(product(a,quotient(A,c)),c) = product(product(a,c),A) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(quotient(A,c),b)),product(product(a,c),A)) ),[0],$fot(product(product(a,quotient(A,c)),c))]]) ).

cnf(refute_0_16292,plain,
    ( product(product(c,a),product(quotient(A,c),b)) != product(product(a,c),A)
    | product(product(a,quotient(A,c)),c) = product(product(a,c),A) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(quotient(A,c),b)),product(product(a,quotient(A,c)),c)) )],[refute_0_16290,refute_0_16291]) ).

cnf(refute_0_16293,plain,
    product(product(a,quotient(A,c)),c) = product(product(a,c),A),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(quotient(A,c),b)),product(product(a,c),A)) )],[refute_0_16289,refute_0_16292]) ).

cnf(refute_0_16294,plain,
    product(product(a,quotient(a,c)),c) = product(product(a,c),a),
    inference(subst,[],[refute_0_16293:[bind(A,$fot(a))]]) ).

cnf(refute_0_16295,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(a,quotient(a,c)),c) != product(product(a,c),a)
    | product(product(a,quotient(a,c)),c) = bigC(a,a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,quotient(a,c)),c))),bind(Y,$fot(product(product(a,c),a))),bind(Z,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_16296,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(a,quotient(a,c)),c) = bigC(a,a,c) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),c),product(product(a,c),a)) )],[refute_0_16294,refute_0_16295]) ).

cnf(refute_0_16297,plain,
    product(product(a,quotient(a,c)),c) = bigC(a,a,c),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_380,refute_0_16296]) ).

cnf(refute_0_16298,plain,
    difference(c,product(product(a,quotient(a,c)),c)) = difference(c,product(product(a,quotient(a,c)),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(product(a,quotient(a,c)),c)))]]) ).

cnf(refute_0_16299,plain,
    ( difference(c,product(product(a,quotient(a,c)),c)) != difference(c,product(product(a,quotient(a,c)),c))
    | product(product(a,quotient(a,c)),c) != bigC(a,a,c)
    | difference(c,product(product(a,quotient(a,c)),c)) = difference(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(a,quotient(a,c)),c)),difference(c,product(product(a,quotient(a,c)),c))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_16300,plain,
    ( product(product(a,quotient(a,c)),c) != bigC(a,a,c)
    | difference(c,product(product(a,quotient(a,c)),c)) = difference(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,quotient(a,c)),c)),difference(c,product(product(a,quotient(a,c)),c))) )],[refute_0_16298,refute_0_16299]) ).

cnf(refute_0_16301,plain,
    difference(c,product(product(a,quotient(a,c)),c)) = difference(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),c),bigC(a,a,c)) )],[refute_0_16297,refute_0_16300]) ).

cnf(refute_0_16302,plain,
    ( difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(c,product(product(a,quotient(a,c)),c)) != difference(c,bigC(a,a,c))
    | difference(c,product(product(a,quotient(a,c)),c)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(a,quotient(a,c)),c)))),bind(Y,$fot(difference(c,bigC(a,a,c)))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_16303,plain,
    ( difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(c,product(product(a,quotient(a,c)),c)) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,quotient(a,c)),c)),difference(c,bigC(a,a,c))) )],[refute_0_16301,refute_0_16302]) ).

cnf(refute_0_16304,plain,
    difference(c,product(product(a,quotient(a,c)),c)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),difference(product(c,a),a)) )],[refute_0_15441,refute_0_16303]) ).

cnf(refute_0_16305,plain,
    product(difference(c,product(a,quotient(a,c))),c) = difference(c,product(product(a,quotient(a,c)),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(a,quotient(a,c)))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_16306,plain,
    ( difference(c,product(product(a,quotient(a,c)),c)) != difference(product(c,a),a)
    | product(difference(c,product(a,quotient(a,c))),c) != difference(c,product(product(a,quotient(a,c)),c))
    | product(difference(c,product(a,quotient(a,c))),c) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(a,quotient(a,c))),c))),bind(Y,$fot(difference(c,product(product(a,quotient(a,c)),c)))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_16307,plain,
    ( difference(c,product(product(a,quotient(a,c)),c)) != difference(product(c,a),a)
    | product(difference(c,product(a,quotient(a,c))),c) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,quotient(a,c))),c),difference(c,product(product(a,quotient(a,c)),c))) )],[refute_0_16305,refute_0_16306]) ).

cnf(refute_0_16308,plain,
    product(difference(c,product(a,quotient(a,c))),c) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,quotient(a,c)),c)),difference(product(c,a),a)) )],[refute_0_16304,refute_0_16307]) ).

cnf(refute_0_16309,plain,
    ( product(difference(c,product(a,quotient(a,c))),c) != difference(product(c,a),a)
    | product(difference(c,product(a,quotient(a,c))),c) != quotient(c,difference(c,product(b,product(c,a))))
    | difference(product(c,a),a) = quotient(c,difference(c,product(b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,quotient(a,c))),c),quotient(c,difference(c,product(b,product(c,a))))) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16310,plain,
    ( product(difference(c,product(a,quotient(a,c))),c) != quotient(c,difference(c,product(b,product(c,a))))
    | difference(product(c,a),a) = quotient(c,difference(c,product(b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,quotient(a,c))),c),difference(product(c,a),a)) )],[refute_0_16308,refute_0_16309]) ).

cnf(refute_0_16311,plain,
    difference(product(c,a),a) = quotient(c,difference(c,product(b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,quotient(a,c))),c),quotient(c,difference(c,product(b,product(c,a))))) )],[refute_0_16277,refute_0_16310]) ).

cnf(refute_0_16312,plain,
    ( difference(product(c,a),a) != quotient(c,difference(c,product(b,product(c,a))))
    | quotient(c,difference(c,product(b,product(c,a)))) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(quotient(c,difference(c,product(b,product(c,a))))))]]) ).

cnf(refute_0_16313,plain,
    quotient(c,difference(c,product(b,product(c,a)))) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),quotient(c,difference(c,product(b,product(c,a))))) )],[refute_0_16311,refute_0_16312]) ).

cnf(refute_0_16314,plain,
    product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),
    introduced(tautology,[refl,[$fot(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))))]]) ).

cnf(refute_0_16315,plain,
    ( product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | quotient(c,difference(c,product(b,product(c,a)))) != difference(product(c,a),a)
    | product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = product(product(c,X_22),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) ),[1,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16316,plain,
    ( quotient(c,difference(c,product(b,product(c,a)))) != difference(product(c,a),a)
    | product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = product(product(c,X_22),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) )],[refute_0_16314,refute_0_16315]) ).

cnf(refute_0_16317,plain,
    product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = product(product(c,X_22),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,product(c,a)))),difference(product(c,a),a)) )],[refute_0_16313,refute_0_16316]) ).

cnf(refute_0_16318,plain,
    ( product(product(c,X_22),difference(product(c,a),a)) != bigC(c,X_22,difference(b,quotient(c,b)))
    | product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) != product(product(c,X_22),difference(product(c,a),a))
    | product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = bigC(c,X_22,difference(b,quotient(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))))),bind(Y,$fot(product(product(c,X_22),difference(product(c,a),a)))),bind(Z,$fot(bigC(c,X_22,difference(b,quotient(c,b)))))]]) ).

cnf(refute_0_16319,plain,
    ( product(product(c,X_22),difference(product(c,a),a)) != bigC(c,X_22,difference(b,quotient(c,b)))
    | product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = bigC(c,X_22,difference(b,quotient(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),product(product(c,X_22),difference(product(c,a),a))) )],[refute_0_16317,refute_0_16318]) ).

cnf(refute_0_16320,plain,
    product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) = bigC(c,X_22,difference(b,quotient(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),difference(product(c,a),a)),bigC(c,X_22,difference(b,quotient(c,b)))) )],[refute_0_16273,refute_0_16319]) ).

cnf(refute_0_16321,plain,
    ( bigC(a,X_22,a) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))) != bigC(c,X_22,difference(b,quotient(c,b)))
    | bigC(a,X_22,a) = bigC(c,X_22,difference(b,quotient(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_22,a),bigC(c,X_22,difference(b,quotient(c,b)))) ),[0],$fot(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))))]]) ).

cnf(refute_0_16322,plain,
    ( bigC(a,X_22,a) != product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))
    | bigC(a,X_22,a) = bigC(c,X_22,difference(b,quotient(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a))))),bigC(c,X_22,difference(b,quotient(c,b)))) )],[refute_0_16320,refute_0_16321]) ).

cnf(refute_0_16323,plain,
    bigC(a,X_22,a) = bigC(c,X_22,difference(b,quotient(c,b))),
    inference(resolve,[$cnf( $equal(bigC(a,X_22,a),product(product(c,X_22),quotient(c,difference(c,product(b,product(c,a)))))) )],[refute_0_16257,refute_0_16322]) ).

cnf(refute_0_16324,plain,
    ( bigC(a,X_22,a) != bigC(c,X_22,difference(b,quotient(c,b)))
    | bigC(c,X_22,difference(b,quotient(c,b))) = bigC(a,X_22,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,X_22,a))),bind(Y,$fot(bigC(c,X_22,difference(b,quotient(c,b)))))]]) ).

cnf(refute_0_16325,plain,
    bigC(c,X_22,difference(b,quotient(c,b))) = bigC(a,X_22,a),
    inference(resolve,[$cnf( $equal(bigC(a,X_22,a),bigC(c,X_22,difference(b,quotient(c,b)))) )],[refute_0_16323,refute_0_16324]) ).

cnf(refute_0_16326,plain,
    bigC(c,difference(c,B),difference(b,quotient(c,b))) = bigC(a,difference(c,B),a),
    inference(subst,[],[refute_0_16325:[bind(X_22,$fot(difference(c,B)))]]) ).

cnf(refute_0_16327,plain,
    ( bigC(a,difference(c,B),a) != bigC(a,a,difference(c,B))
    | bigC(c,difference(c,B),difference(b,quotient(c,b))) != bigC(a,difference(c,B),a)
    | bigC(c,difference(c,B),difference(b,quotient(c,b))) = bigC(a,a,difference(c,B)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,difference(c,B),difference(b,quotient(c,b))))),bind(Y,$fot(bigC(a,difference(c,B),a))),bind(Z,$fot(bigC(a,a,difference(c,B))))]]) ).

cnf(refute_0_16328,plain,
    ( bigC(a,difference(c,B),a) != bigC(a,a,difference(c,B))
    | bigC(c,difference(c,B),difference(b,quotient(c,b))) = bigC(a,a,difference(c,B)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,quotient(c,b))),bigC(a,difference(c,B),a)) )],[refute_0_16326,refute_0_16327]) ).

cnf(refute_0_16329,plain,
    bigC(c,difference(c,B),difference(b,quotient(c,b))) = bigC(a,a,difference(c,B)),
    inference(resolve,[$cnf( $equal(bigC(a,difference(c,B),a),bigC(a,a,difference(c,B))) )],[refute_0_16186,refute_0_16328]) ).

cnf(refute_0_16330,plain,
    ( bigC(c,difference(c,B),difference(b,quotient(c,b))) != bigC(a,a,difference(c,B))
    | bigC(c,difference(c,B),difference(b,quotient(c,b))) != product(B,difference(product(c,a),a))
    | bigC(a,a,difference(c,B)) = product(B,difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,B),difference(b,quotient(c,b))),product(B,difference(product(c,a),a))) ),[0],$fot(bigC(a,a,difference(c,B)))]]) ).

cnf(refute_0_16331,plain,
    ( bigC(c,difference(c,B),difference(b,quotient(c,b))) != product(B,difference(product(c,a),a))
    | bigC(a,a,difference(c,B)) = product(B,difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,quotient(c,b))),bigC(a,a,difference(c,B))) )],[refute_0_16329,refute_0_16330]) ).

cnf(refute_0_16332,plain,
    bigC(a,a,difference(c,B)) = product(B,difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,quotient(c,b))),product(B,difference(product(c,a),a))) )],[refute_0_16185,refute_0_16331]) ).

cnf(refute_0_16333,plain,
    ( bigC(a,a,difference(c,B)) != product(B,difference(product(c,a),a))
    | product(B,difference(product(c,a),a)) = bigC(a,a,difference(c,B)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,difference(c,B)))),bind(Y,$fot(product(B,difference(product(c,a),a))))]]) ).

cnf(refute_0_16334,plain,
    product(B,difference(product(c,a),a)) = bigC(a,a,difference(c,B)),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,B)),product(B,difference(product(c,a),a))) )],[refute_0_16332,refute_0_16333]) ).

cnf(refute_0_16335,plain,
    product(difference(b,c),difference(product(c,a),a)) = bigC(a,a,difference(c,difference(b,c))),
    inference(subst,[],[refute_0_16334:[bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_16336,plain,
    ( bigC(quotient(difference(b,c),a),a,c) != product(difference(b,c),difference(product(c,a),a))
    | product(difference(b,c),difference(product(c,a),a)) != bigC(a,a,difference(c,difference(b,c)))
    | bigC(quotient(difference(b,c),a),a,c) = bigC(a,a,difference(c,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(difference(b,c),a),a,c),bigC(a,a,difference(c,difference(b,c)))) ),[0],$fot(product(difference(b,c),difference(product(c,a),a)))]]) ).

cnf(refute_0_16337,plain,
    ( bigC(quotient(difference(b,c),a),a,c) != product(difference(b,c),difference(product(c,a),a))
    | bigC(quotient(difference(b,c),a),a,c) = bigC(a,a,difference(c,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),difference(product(c,a),a)),bigC(a,a,difference(c,difference(b,c)))) )],[refute_0_16335,refute_0_16336]) ).

cnf(refute_0_16338,plain,
    ( bigC(difference(c,difference(product(c,a),a)),a,c) != product(difference(b,c),difference(product(c,a),a))
    | bigC(quotient(difference(b,c),a),a,c) = bigC(a,a,difference(c,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(b,c),a),a,c),product(difference(b,c),difference(product(c,a),a))) )],[refute_0_16129,refute_0_16337]) ).

cnf(refute_0_16339,plain,
    bigC(quotient(difference(b,c),a),a,c) = bigC(a,a,difference(c,difference(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,difference(product(c,a),a)),a,c),product(difference(b,c),difference(product(c,a),a))) )],[refute_0_16117,refute_0_16338]) ).

cnf(refute_0_16340,plain,
    ( bigC(quotient(difference(b,c),a),a,c) != bigC(a,a,difference(c,difference(b,c)))
    | bigC(quotient(difference(b,c),a),a,c) != product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))
    | bigC(a,a,difference(c,difference(b,c))) = product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(difference(b,c),a),a,c),product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))) ),[0],$fot(bigC(a,a,difference(c,difference(b,c))))]]) ).

cnf(refute_0_16341,plain,
    ( bigC(quotient(difference(b,c),a),a,c) != product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))
    | bigC(a,a,difference(c,difference(b,c))) = product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(b,c),a),a,c),bigC(a,a,difference(c,difference(b,c)))) )],[refute_0_16339,refute_0_16340]) ).

cnf(refute_0_16342,plain,
    bigC(a,a,difference(c,difference(b,c))) = product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(difference(b,c),a),a,c),product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))) )],[refute_0_740,refute_0_16341]) ).

cnf(refute_0_16343,plain,
    bigC(c,difference(c,B),difference(b,c)) = product(B,product(difference(b,c),c)),
    inference(subst,[],[refute_0_84:[bind(X_21,$fot(c)),bind(X_23,$fot(difference(b,c)))]]) ).

cnf(refute_0_16344,plain,
    product(quotient(product(a,b),c),c) = product(a,b),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,b))),bind(B,$fot(c))]]) ).

cnf(refute_0_16345,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | difference(c,product(a,c)) != quotient(product(a,b),c)
    | difference(b,c) = quotient(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(a,c)),quotient(product(a,b),c)) ),[0],$fot(difference(b,c))]]) ).

cnf(refute_0_16346,plain,
    ( difference(c,product(a,c)) != quotient(product(a,b),c)
    | difference(b,c) = quotient(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_16345]) ).

cnf(refute_0_16347,plain,
    difference(b,c) = quotient(product(a,b),c),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),quotient(product(a,b),c)) )],[refute_0_8155,refute_0_16346]) ).

cnf(refute_0_16348,plain,
    ( difference(b,c) != quotient(product(a,b),c)
    | quotient(product(a,b),c) = difference(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,c))),bind(Y,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_16349,plain,
    quotient(product(a,b),c) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(b,c),quotient(product(a,b),c)) )],[refute_0_16347,refute_0_16348]) ).

cnf(refute_0_16350,plain,
    ( product(quotient(product(a,b),c),c) != product(a,b)
    | quotient(product(a,b),c) != difference(b,c)
    | product(difference(b,c),c) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),c),c),product(a,b)) ),[0,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16351,plain,
    ( product(quotient(product(a,b),c),c) != product(a,b)
    | product(difference(b,c),c) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_16349,refute_0_16350]) ).

cnf(refute_0_16352,plain,
    product(difference(b,c),c) = product(a,b),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),c),c),product(a,b)) )],[refute_0_16344,refute_0_16351]) ).

cnf(refute_0_16353,plain,
    ( bigC(c,difference(c,B),difference(b,c)) != product(B,product(difference(b,c),c))
    | product(difference(b,c),c) != product(a,b)
    | bigC(c,difference(c,B),difference(b,c)) = product(B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,B),difference(b,c)),product(B,product(difference(b,c),c))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_16354,plain,
    ( bigC(c,difference(c,B),difference(b,c)) != product(B,product(difference(b,c),c))
    | bigC(c,difference(c,B),difference(b,c)) = product(B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_16352,refute_0_16353]) ).

cnf(refute_0_16355,plain,
    bigC(c,difference(c,B),difference(b,c)) = product(B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,c)),product(B,product(difference(b,c),c))) )],[refute_0_16343,refute_0_16354]) ).

cnf(refute_0_16356,plain,
    bigC(c,X_22,quotient(product(a,b),c)) = product(product(c,X_22),product(a,b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(a,b))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_16357,plain,
    ( bigC(c,X_22,quotient(product(a,b),c)) != product(product(c,X_22),product(a,b))
    | quotient(product(a,b),c) != difference(b,c)
    | bigC(c,X_22,difference(b,c)) = product(product(c,X_22),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,quotient(product(a,b),c)),product(product(c,X_22),product(a,b))) ),[0,2],$fot(difference(b,c))]]) ).

cnf(refute_0_16358,plain,
    ( bigC(c,X_22,quotient(product(a,b),c)) != product(product(c,X_22),product(a,b))
    | bigC(c,X_22,difference(b,c)) = product(product(c,X_22),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(b,c)) )],[refute_0_16349,refute_0_16357]) ).

cnf(refute_0_16359,plain,
    bigC(c,X_22,difference(b,c)) = product(product(c,X_22),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,quotient(product(a,b),c)),product(product(c,X_22),product(a,b))) )],[refute_0_16356,refute_0_16358]) ).

cnf(refute_0_16360,plain,
    ( bigC(c,X_22,difference(b,c)) != product(product(c,X_22),product(a,b))
    | product(product(c,X_22),product(a,b)) != product(product(a,X_22),c)
    | bigC(c,X_22,difference(b,c)) = product(product(a,X_22),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_22,difference(b,c)),product(product(a,X_22),c)) ),[0],$fot(product(product(c,X_22),product(a,b)))]]) ).

cnf(refute_0_16361,plain,
    ( bigC(c,X_22,difference(b,c)) != product(product(c,X_22),product(a,b))
    | bigC(c,X_22,difference(b,c)) = product(product(a,X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),product(a,b)),product(product(a,X_22),c)) )],[refute_0_8190,refute_0_16360]) ).

cnf(refute_0_16362,plain,
    bigC(c,X_22,difference(b,c)) = product(product(a,X_22),c),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(b,c)),product(product(c,X_22),product(a,b))) )],[refute_0_16359,refute_0_16361]) ).

cnf(refute_0_16363,plain,
    bigC(c,difference(c,B),difference(b,c)) = product(product(a,difference(c,B)),c),
    inference(subst,[],[refute_0_16362:[bind(X_22,$fot(difference(c,B)))]]) ).

cnf(refute_0_16364,plain,
    ( bigC(c,difference(c,B),difference(b,c)) != product(B,product(a,b))
    | bigC(c,difference(c,B),difference(b,c)) != product(product(a,difference(c,B)),c)
    | product(product(a,difference(c,B)),c) = product(B,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,B),difference(b,c)),product(B,product(a,b))) ),[0],$fot(product(product(a,difference(c,B)),c))]]) ).

cnf(refute_0_16365,plain,
    ( bigC(c,difference(c,B),difference(b,c)) != product(B,product(a,b))
    | product(product(a,difference(c,B)),c) = product(B,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,c)),product(product(a,difference(c,B)),c)) )],[refute_0_16363,refute_0_16364]) ).

cnf(refute_0_16366,plain,
    product(product(a,difference(c,B)),c) = product(B,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,B),difference(b,c)),product(B,product(a,b))) )],[refute_0_16355,refute_0_16365]) ).

cnf(refute_0_16367,plain,
    product(product(a,difference(c,a)),c) = product(a,product(a,b)),
    inference(subst,[],[refute_0_16366:[bind(B,$fot(a))]]) ).

cnf(refute_0_16368,plain,
    bigC(a,quotient(c,a),difference(c,a)) = product(product(a,difference(c,a)),c),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(c)),bind(X_21,$fot(a)),bind(X_22,$fot(difference(c,a)))]]) ).

cnf(refute_0_16369,plain,
    ( bigC(a,quotient(c,a),difference(c,a)) != product(product(a,difference(c,a)),c)
    | product(product(a,difference(c,a)),c) != product(a,product(a,b))
    | bigC(a,quotient(c,a),difference(c,a)) = product(a,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,quotient(c,a),difference(c,a)))),bind(Y,$fot(product(product(a,difference(c,a)),c))),bind(Z,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_16370,plain,
    ( product(product(a,difference(c,a)),c) != product(a,product(a,b))
    | bigC(a,quotient(c,a),difference(c,a)) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),difference(c,a)),product(product(a,difference(c,a)),c)) )],[refute_0_16368,refute_0_16369]) ).

cnf(refute_0_16371,plain,
    bigC(a,quotient(c,a),difference(c,a)) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,difference(c,a)),c),product(a,product(a,b))) )],[refute_0_16367,refute_0_16370]) ).

cnf(refute_0_16372,plain,
    bigC(a,B,difference(c,a)) = product(product(a,B),product(difference(c,a),a)),
    inference(subst,[],[sos08:[bind(A,$fot(a)),bind(C,$fot(difference(c,a)))]]) ).

cnf(refute_0_16373,plain,
    quotient(bigC(difference(c,a),a,c),product(c,difference(c,a))) = product(difference(c,a),a),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(difference(c,a))),bind(X_22,$fot(a)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_16374,plain,
    bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) = product(difference(c,product(a,c)),product(quotient(a,c),difference(c,product(a,c)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(difference(c,product(a,c)))),bind(X_23,$fot(quotient(a,c)))]]) ).

cnf(refute_0_16375,plain,
    quotient(quotient(difference(c,product(a,c)),c),product(quotient(difference(c,product(a,c)),c),difference(c,product(a,c)))) = product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(difference(c,product(a,c)))),bind(X_17,$fot(c))]]) ).

cnf(refute_0_16376,plain,
    quotient(quotient(c,difference(c,product(b,a))),c) = quotient(quotient(c,difference(c,product(b,a))),c),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,difference(c,product(b,a))),c))]]) ).

cnf(refute_0_16377,plain,
    ( quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | quotient(quotient(c,difference(c,product(b,a))),c) != quotient(quotient(c,difference(c,product(b,a))),c)
    | quotient(quotient(c,difference(c,product(b,a))),c) = quotient(difference(c,product(a,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),quotient(quotient(c,difference(c,product(b,a))),c)) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_16378,plain,
    ( quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | quotient(quotient(c,difference(c,product(b,a))),c) = quotient(difference(c,product(a,c)),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),quotient(quotient(c,difference(c,product(b,a))),c)) )],[refute_0_16376,refute_0_16377]) ).

cnf(refute_0_16379,plain,
    quotient(quotient(c,difference(c,product(b,a))),c) = quotient(difference(c,product(a,c)),c),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_16378]) ).

cnf(refute_0_16380,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,a)
    | quotient(quotient(c,difference(c,product(b,a))),c) != quotient(difference(c,product(a,c)),c)
    | quotient(difference(c,product(a,c)),c) = difference(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,a)) ),[0],$fot(quotient(difference(c,product(a,c)),c))]]) ).

cnf(refute_0_16381,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,a)
    | quotient(difference(c,product(a,c)),c) = difference(c,a) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),quotient(difference(c,product(a,c)),c)) )],[refute_0_16379,refute_0_16380]) ).

cnf(refute_0_16382,plain,
    quotient(difference(c,product(a,c)),c) = difference(c,a),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,a)) )],[refute_0_1971,refute_0_16381]) ).

cnf(refute_0_16383,plain,
    ( quotient(difference(c,product(a,c)),c) != difference(c,a)
    | quotient(quotient(difference(c,product(a,c)),c),product(quotient(difference(c,product(a,c)),c),difference(c,product(a,c)))) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(quotient(difference(c,product(a,c)),c),difference(c,product(a,c)))),product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))) ),[0,1,0],$fot(difference(c,a))]]) ).

cnf(refute_0_16384,plain,
    ( quotient(quotient(difference(c,product(a,c)),c),product(quotient(difference(c,product(a,c)),c),difference(c,product(a,c)))) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),c),difference(c,a)) )],[refute_0_16382,refute_0_16383]) ).

cnf(refute_0_16385,plain,
    quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(quotient(difference(c,product(a,c)),c),difference(c,product(a,c)))),product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))) )],[refute_0_16375,refute_0_16384]) ).

cnf(refute_0_16386,plain,
    quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) = product(a,difference(c,a)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(difference(c,a))),bind(X_6,$fot(product(a,difference(c,a))))]]) ).

cnf(refute_0_16387,plain,
    difference(product(product(X_33,difference(X_33,B)),difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),product(difference(X_33,B),X_33)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(X_33)),bind(X_16,$fot(difference(X_33,B)))]]) ).

cnf(refute_0_16388,plain,
    product(X_33,difference(X_33,B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(X_33))]]) ).

cnf(refute_0_16389,plain,
    ( difference(product(product(X_33,difference(X_33,B)),difference(X_33,B)),difference(X_33,B)) != product(difference(X_33,B),product(difference(X_33,B),X_33))
    | product(X_33,difference(X_33,B)) != B
    | difference(product(B,difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),product(difference(X_33,B),X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(X_33,difference(X_33,B)),difference(X_33,B)),difference(X_33,B)),product(difference(X_33,B),product(difference(X_33,B),X_33))) ),[0,0,0],$fot(B)]]) ).

cnf(refute_0_16390,plain,
    ( difference(product(product(X_33,difference(X_33,B)),difference(X_33,B)),difference(X_33,B)) != product(difference(X_33,B),product(difference(X_33,B),X_33))
    | difference(product(B,difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),product(difference(X_33,B),X_33)) ),
    inference(resolve,[$cnf( $equal(product(X_33,difference(X_33,B)),B) )],[refute_0_16388,refute_0_16389]) ).

cnf(refute_0_16391,plain,
    difference(product(B,difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),product(difference(X_33,B),X_33)),
    inference(resolve,[$cnf( $equal(difference(product(product(X_33,difference(X_33,B)),difference(X_33,B)),difference(X_33,B)),product(difference(X_33,B),product(difference(X_33,B),X_33))) )],[refute_0_16387,refute_0_16390]) ).

cnf(refute_0_16392,plain,
    product(difference(X_33,B),X_33) = difference(X_33,product(B,X_33)),
    inference(subst,[],[refute_0_819:[bind(X_74,$fot(X_33))]]) ).

cnf(refute_0_16393,plain,
    product(difference(X_33,B),product(difference(X_33,B),X_33)) = product(difference(X_33,B),product(difference(X_33,B),X_33)),
    introduced(tautology,[refl,[$fot(product(difference(X_33,B),product(difference(X_33,B),X_33)))]]) ).

cnf(refute_0_16394,plain,
    ( product(difference(X_33,B),X_33) != difference(X_33,product(B,X_33))
    | product(difference(X_33,B),product(difference(X_33,B),X_33)) != product(difference(X_33,B),product(difference(X_33,B),X_33))
    | product(difference(X_33,B),product(difference(X_33,B),X_33)) = product(difference(X_33,B),difference(X_33,product(B,X_33))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(X_33,B),product(difference(X_33,B),X_33)),product(difference(X_33,B),product(difference(X_33,B),X_33))) ),[1,1],$fot(difference(X_33,product(B,X_33)))]]) ).

cnf(refute_0_16395,plain,
    ( product(difference(X_33,B),X_33) != difference(X_33,product(B,X_33))
    | product(difference(X_33,B),product(difference(X_33,B),X_33)) = product(difference(X_33,B),difference(X_33,product(B,X_33))) ),
    inference(resolve,[$cnf( $equal(product(difference(X_33,B),product(difference(X_33,B),X_33)),product(difference(X_33,B),product(difference(X_33,B),X_33))) )],[refute_0_16393,refute_0_16394]) ).

cnf(refute_0_16396,plain,
    product(difference(X_33,B),product(difference(X_33,B),X_33)) = product(difference(X_33,B),difference(X_33,product(B,X_33))),
    inference(resolve,[$cnf( $equal(product(difference(X_33,B),X_33),difference(X_33,product(B,X_33))) )],[refute_0_16392,refute_0_16395]) ).

cnf(refute_0_16397,plain,
    ( difference(product(B,difference(X_33,B)),difference(X_33,B)) != product(difference(X_33,B),product(difference(X_33,B),X_33))
    | product(difference(X_33,B),product(difference(X_33,B),X_33)) != product(difference(X_33,B),difference(X_33,product(B,X_33)))
    | difference(product(B,difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),difference(X_33,product(B,X_33))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(B,difference(X_33,B)),difference(X_33,B)),product(difference(X_33,B),difference(X_33,product(B,X_33)))) ),[0],$fot(product(difference(X_33,B),product(difference(X_33,B),X_33)))]]) ).

cnf(refute_0_16398,plain,
    ( difference(product(B,difference(X_33,B)),difference(X_33,B)) != product(difference(X_33,B),product(difference(X_33,B),X_33))
    | difference(product(B,difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),difference(X_33,product(B,X_33))) ),
    inference(resolve,[$cnf( $equal(product(difference(X_33,B),product(difference(X_33,B),X_33)),product(difference(X_33,B),difference(X_33,product(B,X_33)))) )],[refute_0_16396,refute_0_16397]) ).

cnf(refute_0_16399,plain,
    difference(product(B,difference(X_33,B)),difference(X_33,B)) = product(difference(X_33,B),difference(X_33,product(B,X_33))),
    inference(resolve,[$cnf( $equal(difference(product(B,difference(X_33,B)),difference(X_33,B)),product(difference(X_33,B),product(difference(X_33,B),X_33))) )],[refute_0_16391,refute_0_16398]) ).

cnf(refute_0_16400,plain,
    ( difference(product(B,difference(X_33,B)),difference(X_33,B)) != product(difference(X_33,B),difference(X_33,product(B,X_33)))
    | product(difference(X_33,B),difference(X_33,product(B,X_33))) = difference(product(B,difference(X_33,B)),difference(X_33,B)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(B,difference(X_33,B)),difference(X_33,B)))),bind(Y,$fot(product(difference(X_33,B),difference(X_33,product(B,X_33)))))]]) ).

cnf(refute_0_16401,plain,
    product(difference(X_33,B),difference(X_33,product(B,X_33))) = difference(product(B,difference(X_33,B)),difference(X_33,B)),
    inference(resolve,[$cnf( $equal(difference(product(B,difference(X_33,B)),difference(X_33,B)),product(difference(X_33,B),difference(X_33,product(B,X_33)))) )],[refute_0_16399,refute_0_16400]) ).

cnf(refute_0_16402,plain,
    product(difference(c,a),difference(c,product(a,c))) = difference(product(a,difference(c,a)),difference(c,a)),
    inference(subst,[],[refute_0_16401:[bind(B,$fot(a)),bind(X_33,$fot(c))]]) ).

cnf(refute_0_16403,plain,
    quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))))]]) ).

cnf(refute_0_16404,plain,
    ( product(difference(c,a),difference(c,product(a,c))) != difference(product(a,difference(c,a)),difference(c,a))
    | quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) != quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c))))
    | quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))),quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c))))) ),[1,1],$fot(difference(product(a,difference(c,a)),difference(c,a)))]]) ).

cnf(refute_0_16405,plain,
    ( product(difference(c,a),difference(c,product(a,c))) != difference(product(a,difference(c,a)),difference(c,a))
    | quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))),quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c))))) )],[refute_0_16403,refute_0_16404]) ).

cnf(refute_0_16406,plain,
    quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))),
    inference(resolve,[$cnf( $equal(product(difference(c,a),difference(c,product(a,c))),difference(product(a,difference(c,a)),difference(c,a))) )],[refute_0_16402,refute_0_16405]) ).

cnf(refute_0_16407,plain,
    quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))))]]) ).

cnf(refute_0_16408,plain,
    ( quotient(difference(c,product(a,c)),c) != difference(c,a)
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c))))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c))))) ),[1,0],$fot(difference(c,a))]]) ).

cnf(refute_0_16409,plain,
    ( quotient(difference(c,product(a,c)),c) != difference(c,a)
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c))))) )],[refute_0_16407,refute_0_16408]) ).

cnf(refute_0_16410,plain,
    quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,c)),c),difference(c,a)) )],[refute_0_16382,refute_0_16409]) ).

cnf(refute_0_16411,plain,
    ( quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) != quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a)))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c))))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))))),bind(Y,$fot(quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))))),bind(Z,$fot(quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a)))))]]) ).

cnf(refute_0_16412,plain,
    ( quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))) != quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a)))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c))))) )],[refute_0_16410,refute_0_16411]) ).

cnf(refute_0_16413,plain,
    quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,a),product(difference(c,a),difference(c,product(a,c)))),quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a)))) )],[refute_0_16406,refute_0_16412]) ).

cnf(refute_0_16414,plain,
    ( quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) != product(a,difference(c,a))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a)))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = product(a,difference(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))))),bind(Y,$fot(quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))))),bind(Z,$fot(product(a,difference(c,a))))]]) ).

cnf(refute_0_16415,plain,
    ( quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))) != product(a,difference(c,a))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = product(a,difference(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a)))) )],[refute_0_16413,refute_0_16414]) ).

cnf(refute_0_16416,plain,
    quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) = product(a,difference(c,a)),
    inference(resolve,[$cnf( $equal(quotient(difference(c,a),difference(product(a,difference(c,a)),difference(c,a))),product(a,difference(c,a))) )],[refute_0_16386,refute_0_16415]) ).

cnf(refute_0_16417,plain,
    ( quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != product(a,difference(c,a))
    | quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | product(a,difference(c,a)) = product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))) ),[0],$fot(product(a,difference(c,a)))]]) ).

cnf(refute_0_16418,plain,
    ( quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | product(a,difference(c,a)) = product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),product(a,difference(c,a))) )],[refute_0_16416,refute_0_16417]) ).

cnf(refute_0_16419,plain,
    difference(c,difference(difference(c,product(a,c)),c)) = difference(c,difference(difference(c,product(a,c)),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_16420,plain,
    ( difference(c,difference(difference(c,product(a,c)),c)) != difference(c,difference(difference(c,product(a,c)),c))
    | difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | difference(c,difference(difference(c,product(a,c)),c)) = difference(c,difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(difference(c,product(a,c)),c)),difference(c,difference(difference(c,product(a,c)),c))) ),[1,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_16421,plain,
    ( difference(difference(c,product(a,c)),c) != difference(c,product(b,a))
    | difference(c,difference(difference(c,product(a,c)),c)) = difference(c,difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(c,product(a,c)),c)),difference(c,difference(difference(c,product(a,c)),c))) )],[refute_0_16419,refute_0_16420]) ).

cnf(refute_0_16422,plain,
    difference(c,difference(difference(c,product(a,c)),c)) = difference(c,difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,c)),c),difference(c,product(b,a))) )],[refute_0_12149,refute_0_16421]) ).

cnf(refute_0_16423,plain,
    ( difference(c,difference(c,product(b,a))) != quotient(a,c)
    | difference(c,difference(difference(c,product(a,c)),c)) != difference(c,difference(c,product(b,a)))
    | difference(c,difference(difference(c,product(a,c)),c)) = quotient(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,difference(difference(c,product(a,c)),c)))),bind(Y,$fot(difference(c,difference(c,product(b,a))))),bind(Z,$fot(quotient(a,c)))]]) ).

cnf(refute_0_16424,plain,
    ( difference(c,difference(c,product(b,a))) != quotient(a,c)
    | difference(c,difference(difference(c,product(a,c)),c)) = quotient(a,c) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(c,product(a,c)),c)),difference(c,difference(c,product(b,a)))) )],[refute_0_16422,refute_0_16423]) ).

cnf(refute_0_16425,plain,
    difference(c,difference(difference(c,product(a,c)),c)) = quotient(a,c),
    inference(resolve,[$cnf( $equal(difference(c,difference(c,product(b,a))),quotient(a,c)) )],[refute_0_2022,refute_0_16424]) ).

cnf(refute_0_16426,plain,
    product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) = product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))))]]) ).

cnf(refute_0_16427,plain,
    ( difference(c,difference(difference(c,product(a,c)),c)) != quotient(a,c)
    | product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) != product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c)))
    | product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) = product(quotient(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))),product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c)))) ),[1,0],$fot(quotient(a,c))]]) ).

cnf(refute_0_16428,plain,
    ( difference(c,difference(difference(c,product(a,c)),c)) != quotient(a,c)
    | product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) = product(quotient(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))),product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c)))) )],[refute_0_16426,refute_0_16427]) ).

cnf(refute_0_16429,plain,
    product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) = product(quotient(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(c,product(a,c)),c)),quotient(a,c)) )],[refute_0_16425,refute_0_16428]) ).

cnf(refute_0_16430,plain,
    product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) = product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(difference(c,product(a,c)))),bind(X_15,$fot(c))]]) ).

cnf(refute_0_16431,plain,
    ( product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) != product(quotient(a,c),difference(c,product(a,c)))
    | product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) != product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c)))
    | product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) = product(quotient(a,c),difference(c,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)))),bind(Y,$fot(product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))))),bind(Z,$fot(product(quotient(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_16432,plain,
    ( product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))) != product(quotient(a,c),difference(c,product(a,c)))
    | product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) = product(quotient(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)),product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c)))) )],[refute_0_16430,refute_0_16431]) ).

cnf(refute_0_16433,plain,
    product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) = product(quotient(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(difference(c,product(a,c)),c)),difference(c,product(a,c))),product(quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16429,refute_0_16432]) ).

cnf(refute_0_16434,plain,
    ( product(a,difference(c,a)) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)) != product(quotient(a,c),difference(c,product(a,c)))
    | product(a,difference(c,a)) = product(quotient(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,difference(c,a)),product(quotient(a,c),difference(c,product(a,c)))) ),[0],$fot(product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)))]]) ).

cnf(refute_0_16435,plain,
    ( product(a,difference(c,a)) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | product(a,difference(c,a)) = product(quotient(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c)),product(quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16433,refute_0_16434]) ).

cnf(refute_0_16436,plain,
    ( quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))) != product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))
    | product(a,difference(c,a)) = product(quotient(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,a)),product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))) )],[refute_0_16418,refute_0_16435]) ).

cnf(refute_0_16437,plain,
    product(a,difference(c,a)) = product(quotient(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(a,c)),c),product(difference(c,a),difference(c,product(a,c)))),product(product(c,quotient(difference(c,product(a,c)),c)),quotient(difference(c,product(a,c)),c))) )],[refute_0_16385,refute_0_16436]) ).

cnf(refute_0_16438,plain,
    ( product(a,difference(c,a)) != product(quotient(a,c),difference(c,product(a,c)))
    | product(quotient(a,c),difference(c,product(a,c))) = product(a,difference(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,difference(c,a)))),bind(Y,$fot(product(quotient(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_16439,plain,
    product(quotient(a,c),difference(c,product(a,c))) = product(a,difference(c,a)),
    inference(resolve,[$cnf( $equal(product(a,difference(c,a)),product(quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16437,refute_0_16438]) ).

cnf(refute_0_16440,plain,
    ( bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) != product(difference(c,product(a,c)),product(quotient(a,c),difference(c,product(a,c))))
    | product(quotient(a,c),difference(c,product(a,c))) != product(a,difference(c,a))
    | bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) = product(difference(c,product(a,c)),product(a,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)),product(difference(c,product(a,c)),product(quotient(a,c),difference(c,product(a,c))))) ),[1,1],$fot(product(a,difference(c,a)))]]) ).

cnf(refute_0_16441,plain,
    ( bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) != product(difference(c,product(a,c)),product(quotient(a,c),difference(c,product(a,c))))
    | bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) = product(difference(c,product(a,c)),product(a,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),difference(c,product(a,c))),product(a,difference(c,a))) )],[refute_0_16439,refute_0_16440]) ).

cnf(refute_0_16442,plain,
    bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) = product(difference(c,product(a,c)),product(a,difference(c,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)),product(difference(c,product(a,c)),product(quotient(a,c),difference(c,product(a,c))))) )],[refute_0_16374,refute_0_16441]) ).

cnf(refute_0_16443,plain,
    bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) = bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(c,product(a,c)))),bind(B,$fot(quotient(a,c))),bind(C,$fot(difference(c,product(a,c))))]]) ).

cnf(refute_0_16444,plain,
    ( bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) != bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c)))
    | bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) != product(difference(c,product(a,c)),product(a,difference(c,a)))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = product(difference(c,product(a,c)),product(a,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)),product(difference(c,product(a,c)),product(a,difference(c,a)))) ),[0],$fot(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_16445,plain,
    ( bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) != product(difference(c,product(a,c)),product(a,difference(c,a)))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = product(difference(c,product(a,c)),product(a,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)),bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16443,refute_0_16444]) ).

cnf(refute_0_16446,plain,
    bigC(difference(c,a),c,a) = bigC(difference(c,a),a,c),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(c,a))),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_16447,plain,
    bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,quotient(quotient(c,difference(c,product(b,a))),c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(quotient(c,difference(c,product(b,a))))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_16448,plain,
    ( bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) != product(quotient(c,difference(c,product(b,a))),product(X_23,quotient(quotient(c,difference(c,product(b,a))),c)))
    | quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,a)
    | bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),product(quotient(c,difference(c,product(b,a))),product(X_23,quotient(quotient(c,difference(c,product(b,a))),c)))) ),[1,1,1],$fot(difference(c,a))]]) ).

cnf(refute_0_16449,plain,
    ( bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) != product(quotient(c,difference(c,product(b,a))),product(X_23,quotient(quotient(c,difference(c,product(b,a))),c)))
    | bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,a)) )],[refute_0_1971,refute_0_16448]) ).

cnf(refute_0_16450,plain,
    bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),product(quotient(c,difference(c,product(b,a))),product(X_23,quotient(quotient(c,difference(c,product(b,a))),c)))) )],[refute_0_16447,refute_0_16449]) ).

cnf(refute_0_16451,plain,
    bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23))]]) ).

cnf(refute_0_16452,plain,
    ( bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) != bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23)
    | quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,a)
    | bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = bigC(difference(c,a),c,X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23)) ),[1,0],$fot(difference(c,a))]]) ).

cnf(refute_0_16453,plain,
    ( quotient(quotient(c,difference(c,product(b,a))),c) != difference(c,a)
    | bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = bigC(difference(c,a),c,X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23)) )],[refute_0_16451,refute_0_16452]) ).

cnf(refute_0_16454,plain,
    bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) = bigC(difference(c,a),c,X_23),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(b,a))),c),difference(c,a)) )],[refute_0_1971,refute_0_16453]) ).

cnf(refute_0_16455,plain,
    ( bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) != bigC(difference(c,a),c,X_23)
    | bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) != product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))
    | bigC(difference(c,a),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))) ),[0],$fot(bigC(difference(c,a),c,X_23))]]) ).

cnf(refute_0_16456,plain,
    ( bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23) != product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))
    | bigC(difference(c,a),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),bigC(difference(c,a),c,X_23)) )],[refute_0_16454,refute_0_16455]) ).

cnf(refute_0_16457,plain,
    bigC(difference(c,a),c,X_23) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(c,difference(c,product(b,a))),c),c,X_23),product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))) )],[refute_0_16450,refute_0_16456]) ).

cnf(refute_0_16458,plain,
    product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) = product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))),
    introduced(tautology,[refl,[$fot(product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))))]]) ).

cnf(refute_0_16459,plain,
    ( product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) != product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))
    | quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) = product(difference(c,product(a,c)),product(X_23,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))),product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_16460,plain,
    ( quotient(c,difference(c,product(b,a))) != difference(c,product(a,c))
    | product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) = product(difference(c,product(a,c)),product(X_23,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))),product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))) )],[refute_0_16458,refute_0_16459]) ).

cnf(refute_0_16461,plain,
    product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) = product(difference(c,product(a,c)),product(X_23,difference(c,a))),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(b,a))),difference(c,product(a,c))) )],[refute_0_1980,refute_0_16460]) ).

cnf(refute_0_16462,plain,
    ( bigC(difference(c,a),c,X_23) != product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))
    | product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))) != product(difference(c,product(a,c)),product(X_23,difference(c,a)))
    | bigC(difference(c,a),c,X_23) = product(difference(c,product(a,c)),product(X_23,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,a),c,X_23),product(difference(c,product(a,c)),product(X_23,difference(c,a)))) ),[0],$fot(product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))))]]) ).

cnf(refute_0_16463,plain,
    ( bigC(difference(c,a),c,X_23) != product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))
    | bigC(difference(c,a),c,X_23) = product(difference(c,product(a,c)),product(X_23,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a))),product(difference(c,product(a,c)),product(X_23,difference(c,a)))) )],[refute_0_16461,refute_0_16462]) ).

cnf(refute_0_16464,plain,
    bigC(difference(c,a),c,X_23) = product(difference(c,product(a,c)),product(X_23,difference(c,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,a),c,X_23),product(quotient(c,difference(c,product(b,a))),product(X_23,difference(c,a)))) )],[refute_0_16457,refute_0_16463]) ).

cnf(refute_0_16465,plain,
    ( bigC(difference(c,a),c,X_23) != product(difference(c,product(a,c)),product(X_23,difference(c,a)))
    | product(difference(c,product(a,c)),product(X_23,difference(c,a))) = bigC(difference(c,a),c,X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(difference(c,a),c,X_23))),bind(Y,$fot(product(difference(c,product(a,c)),product(X_23,difference(c,a)))))]]) ).

cnf(refute_0_16466,plain,
    product(difference(c,product(a,c)),product(X_23,difference(c,a))) = bigC(difference(c,a),c,X_23),
    inference(resolve,[$cnf( $equal(bigC(difference(c,a),c,X_23),product(difference(c,product(a,c)),product(X_23,difference(c,a)))) )],[refute_0_16464,refute_0_16465]) ).

cnf(refute_0_16467,plain,
    product(difference(c,product(a,c)),product(a,difference(c,a))) = bigC(difference(c,a),c,a),
    inference(subst,[],[refute_0_16466:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_16468,plain,
    ( bigC(difference(c,a),c,a) != bigC(difference(c,a),a,c)
    | product(difference(c,product(a,c)),product(a,difference(c,a))) != bigC(difference(c,a),c,a)
    | product(difference(c,product(a,c)),product(a,difference(c,a))) = bigC(difference(c,a),a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(a,c)),product(a,difference(c,a))))),bind(Y,$fot(bigC(difference(c,a),c,a))),bind(Z,$fot(bigC(difference(c,a),a,c)))]]) ).

cnf(refute_0_16469,plain,
    ( bigC(difference(c,a),c,a) != bigC(difference(c,a),a,c)
    | product(difference(c,product(a,c)),product(a,difference(c,a))) = bigC(difference(c,a),a,c) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),product(a,difference(c,a))),bigC(difference(c,a),c,a)) )],[refute_0_16467,refute_0_16468]) ).

cnf(refute_0_16470,plain,
    product(difference(c,product(a,c)),product(a,difference(c,a))) = bigC(difference(c,a),a,c),
    inference(resolve,[$cnf( $equal(bigC(difference(c,a),c,a),bigC(difference(c,a),a,c)) )],[refute_0_16446,refute_0_16469]) ).

cnf(refute_0_16471,plain,
    ( bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != product(difference(c,product(a,c)),product(a,difference(c,a)))
    | product(difference(c,product(a,c)),product(a,difference(c,a))) != bigC(difference(c,a),a,c)
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(c,a),a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(c,a),a,c)) ),[0],$fot(product(difference(c,product(a,c)),product(a,difference(c,a))))]]) ).

cnf(refute_0_16472,plain,
    ( bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != product(difference(c,product(a,c)),product(a,difference(c,a)))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(c,a),a,c) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),product(a,difference(c,a))),bigC(difference(c,a),a,c)) )],[refute_0_16470,refute_0_16471]) ).

cnf(refute_0_16473,plain,
    ( bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)) != product(difference(c,product(a,c)),product(a,difference(c,a)))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(c,a),a,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),product(difference(c,product(a,c)),product(a,difference(c,a)))) )],[refute_0_16445,refute_0_16472]) ).

cnf(refute_0_16474,plain,
    bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(c,a),a,c),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),difference(c,product(a,c)),quotient(a,c)),product(difference(c,product(a,c)),product(a,difference(c,a)))) )],[refute_0_16442,refute_0_16473]) ).

cnf(refute_0_16475,plain,
    bigC(difference(b,c),quotient(a,c),difference(b,c)) = bigC(difference(b,c),difference(b,c),quotient(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(b,c))),bind(B,$fot(difference(b,c))),bind(C,$fot(quotient(a,c)))]]) ).

cnf(refute_0_16476,plain,
    bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_16477,plain,
    ( bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) != bigC(difference(b,c),quotient(a,c),difference(c,product(a,c)))
    | difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))),bigC(difference(b,c),quotient(a,c),difference(c,product(a,c)))) ),[1,2],$fot(difference(b,c))]]) ).

cnf(refute_0_16478,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))),bigC(difference(b,c),quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16476,refute_0_16477]) ).

cnf(refute_0_16479,plain,
    bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_16478]) ).

cnf(refute_0_16480,plain,
    bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))))]]) ).

cnf(refute_0_16481,plain,
    ( bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c)))
    | difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c)))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16482,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16480,refute_0_16481]) ).

cnf(refute_0_16483,plain,
    bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_16482]) ).

cnf(refute_0_16484,plain,
    ( bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) != bigC(difference(b,c),quotient(a,c),difference(b,c))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != bigC(difference(b,c),quotient(a,c),difference(c,product(a,c)))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))))),bind(Y,$fot(bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))))),bind(Z,$fot(bigC(difference(b,c),quotient(a,c),difference(b,c))))]]) ).

cnf(refute_0_16485,plain,
    ( bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))) != bigC(difference(b,c),quotient(a,c),difference(b,c))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(b,c),quotient(a,c),difference(c,product(a,c)))) )],[refute_0_16483,refute_0_16484]) ).

cnf(refute_0_16486,plain,
    bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),quotient(a,c),difference(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,c),difference(c,product(a,c))),bigC(difference(b,c),quotient(a,c),difference(b,c))) )],[refute_0_16479,refute_0_16485]) ).

cnf(refute_0_16487,plain,
    ( bigC(difference(b,c),quotient(a,c),difference(b,c)) != bigC(difference(b,c),difference(b,c),quotient(a,c))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != bigC(difference(b,c),quotient(a,c),difference(b,c))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),difference(b,c),quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))))),bind(Y,$fot(bigC(difference(b,c),quotient(a,c),difference(b,c)))),bind(Z,$fot(bigC(difference(b,c),difference(b,c),quotient(a,c))))]]) ).

cnf(refute_0_16488,plain,
    ( bigC(difference(b,c),quotient(a,c),difference(b,c)) != bigC(difference(b,c),difference(b,c),quotient(a,c))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),difference(b,c),quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(b,c),quotient(a,c),difference(b,c))) )],[refute_0_16486,refute_0_16487]) ).

cnf(refute_0_16489,plain,
    bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) = bigC(difference(b,c),difference(b,c),quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),quotient(a,c),difference(b,c)),bigC(difference(b,c),difference(b,c),quotient(a,c))) )],[refute_0_16475,refute_0_16488]) ).

cnf(refute_0_16490,plain,
    ( bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != bigC(difference(b,c),difference(b,c),quotient(a,c))
    | bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != bigC(difference(c,a),a,c)
    | bigC(difference(b,c),difference(b,c),quotient(a,c)) = bigC(difference(c,a),a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(c,a),a,c)) ),[0],$fot(bigC(difference(b,c),difference(b,c),quotient(a,c)))]]) ).

cnf(refute_0_16491,plain,
    ( bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))) != bigC(difference(c,a),a,c)
    | bigC(difference(b,c),difference(b,c),quotient(a,c)) = bigC(difference(c,a),a,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(b,c),difference(b,c),quotient(a,c))) )],[refute_0_16489,refute_0_16490]) ).

cnf(refute_0_16492,plain,
    bigC(difference(b,c),difference(b,c),quotient(a,c)) = bigC(difference(c,a),a,c),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),quotient(a,c),difference(c,product(a,c))),bigC(difference(c,a),a,c)) )],[refute_0_16474,refute_0_16491]) ).

cnf(refute_0_16493,plain,
    bigC(difference(difference(b,c),product(a,c)),X_22,difference(b,c)) = product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(a,c))),bind(X_23,$fot(difference(b,c)))]]) ).

cnf(refute_0_16494,plain,
    ( bigC(difference(difference(b,c),product(a,c)),X_22,difference(b,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | difference(difference(b,c),product(a,c)) != a
    | bigC(a,X_22,difference(b,c)) = product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(b,c),product(a,c)),X_22,difference(b,c)),product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))) ),[0,0],$fot(a)]]) ).

cnf(refute_0_16495,plain,
    ( bigC(difference(difference(b,c),product(a,c)),X_22,difference(b,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | bigC(a,X_22,difference(b,c)) = product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(a,c)),a) )],[refute_0_13665,refute_0_16494]) ).

cnf(refute_0_16496,plain,
    bigC(a,X_22,difference(b,c)) = product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,c)),X_22,difference(b,c)),product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))) )],[refute_0_16493,refute_0_16495]) ).

cnf(refute_0_16497,plain,
    bigC(a,B,difference(b,c)) = product(product(a,B),product(difference(b,c),a)),
    inference(subst,[],[sos08:[bind(A,$fot(a)),bind(C,$fot(difference(b,c)))]]) ).

cnf(refute_0_16498,plain,
    ( bigC(a,B,difference(b,c)) != product(product(a,B),product(difference(b,c),a))
    | product(difference(b,c),a) != product(a,c)
    | bigC(a,B,difference(b,c)) = product(product(a,B),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,B,difference(b,c)),product(product(a,B),product(difference(b,c),a))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_16499,plain,
    ( bigC(a,B,difference(b,c)) != product(product(a,B),product(difference(b,c),a))
    | bigC(a,B,difference(b,c)) = product(product(a,B),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_13662,refute_0_16498]) ).

cnf(refute_0_16500,plain,
    bigC(a,B,difference(b,c)) = product(product(a,B),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(b,c)),product(product(a,B),product(difference(b,c),a))) )],[refute_0_16497,refute_0_16499]) ).

cnf(refute_0_16501,plain,
    product(product(a,B),product(a,c)) = product(a,product(B,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(B)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_16502,plain,
    ( bigC(a,B,difference(b,c)) != product(product(a,B),product(a,c))
    | product(product(a,B),product(a,c)) != product(a,product(B,c))
    | bigC(a,B,difference(b,c)) = product(a,product(B,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,B,difference(b,c)),product(a,product(B,c))) ),[0],$fot(product(product(a,B),product(a,c)))]]) ).

cnf(refute_0_16503,plain,
    ( bigC(a,B,difference(b,c)) != product(product(a,B),product(a,c))
    | bigC(a,B,difference(b,c)) = product(a,product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(a,c)),product(a,product(B,c))) )],[refute_0_16501,refute_0_16502]) ).

cnf(refute_0_16504,plain,
    bigC(a,B,difference(b,c)) = product(a,product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(b,c)),product(product(a,B),product(a,c))) )],[refute_0_16500,refute_0_16503]) ).

cnf(refute_0_16505,plain,
    bigC(a,X_22,difference(b,c)) = product(a,product(X_22,c)),
    inference(subst,[],[refute_0_16504:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_16506,plain,
    ( bigC(a,X_22,difference(b,c)) != product(a,product(X_22,c))
    | bigC(a,X_22,difference(b,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | product(a,product(X_22,c)) = product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,X_22,difference(b,c)),product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))) ),[0],$fot(product(a,product(X_22,c)))]]) ).

cnf(refute_0_16507,plain,
    ( bigC(a,X_22,difference(b,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | product(a,product(X_22,c)) = product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_22,difference(b,c)),product(a,product(X_22,c))) )],[refute_0_16505,refute_0_16506]) ).

cnf(refute_0_16508,plain,
    bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) = bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22))]]) ).

cnf(refute_0_16509,plain,
    ( bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) != bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22)
    | difference(difference(b,c),product(a,c)) != a
    | bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) = bigC(a,difference(b,c),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22),bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22)) ),[1,0],$fot(a)]]) ).

cnf(refute_0_16510,plain,
    ( difference(difference(b,c),product(a,c)) != a
    | bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) = bigC(a,difference(b,c),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22),bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22)) )],[refute_0_16508,refute_0_16509]) ).

cnf(refute_0_16511,plain,
    bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) = bigC(a,difference(b,c),X_22),
    inference(resolve,[$cnf( $equal(difference(difference(b,c),product(a,c)),a) )],[refute_0_13665,refute_0_16510]) ).

cnf(refute_0_16512,plain,
    product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) = bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(product(a,c))),bind(X_23,$fot(difference(b,c)))]]) ).

cnf(refute_0_16513,plain,
    ( bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) != bigC(a,difference(b,c),X_22)
    | product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) != bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22)
    | product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) = bigC(a,difference(b,c),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)))),bind(Y,$fot(bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22))),bind(Z,$fot(bigC(a,difference(b,c),X_22)))]]) ).

cnf(refute_0_16514,plain,
    ( bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22) != bigC(a,difference(b,c),X_22)
    | product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) = bigC(a,difference(b,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)),bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22)) )],[refute_0_16512,refute_0_16513]) ).

cnf(refute_0_16515,plain,
    product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) = bigC(a,difference(b,c),X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(b,c),product(a,c)),difference(b,c),X_22),bigC(a,difference(b,c),X_22)) )],[refute_0_16511,refute_0_16514]) ).

cnf(refute_0_16516,plain,
    ( product(a,product(X_22,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)) != bigC(a,difference(b,c),X_22)
    | product(a,product(X_22,c)) = bigC(a,difference(b,c),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(X_22,c)),bigC(a,difference(b,c),X_22)) ),[0],$fot(product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)))]]) ).

cnf(refute_0_16517,plain,
    ( product(a,product(X_22,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | product(a,product(X_22,c)) = bigC(a,difference(b,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c)),bigC(a,difference(b,c),X_22)) )],[refute_0_16515,refute_0_16516]) ).

cnf(refute_0_16518,plain,
    ( bigC(a,X_22,difference(b,c)) != product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))
    | product(a,product(X_22,c)) = bigC(a,difference(b,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(a,product(X_22,c)),product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))) )],[refute_0_16507,refute_0_16517]) ).

cnf(refute_0_16519,plain,
    product(a,product(X_22,c)) = bigC(a,difference(b,c),X_22),
    inference(resolve,[$cnf( $equal(bigC(a,X_22,difference(b,c)),product(product(difference(difference(b,c),product(a,c)),X_22),product(a,c))) )],[refute_0_16496,refute_0_16518]) ).

cnf(refute_0_16520,plain,
    ( product(a,product(X_22,c)) != bigC(a,difference(b,c),X_22)
    | bigC(a,difference(b,c),X_22) = product(a,product(X_22,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(X_22,c)))),bind(Y,$fot(bigC(a,difference(b,c),X_22)))]]) ).

cnf(refute_0_16521,plain,
    bigC(a,difference(b,c),X_22) = product(a,product(X_22,c)),
    inference(resolve,[$cnf( $equal(product(a,product(X_22,c)),bigC(a,difference(b,c),X_22)) )],[refute_0_16519,refute_0_16520]) ).

cnf(refute_0_16522,plain,
    bigC(a,difference(b,c),a) = product(a,product(a,c)),
    inference(subst,[],[refute_0_16521:[bind(X_22,$fot(a))]]) ).

cnf(refute_0_16523,plain,
    bigC(difference(c,product(a,c)),B,quotient(a,c)) = product(product(difference(c,product(a,c)),B),product(quotient(a,c),difference(c,product(a,c)))),
    inference(subst,[],[sos08:[bind(A,$fot(difference(c,product(a,c)))),bind(C,$fot(quotient(a,c)))]]) ).

cnf(refute_0_16524,plain,
    ( bigC(difference(c,product(a,c)),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(quotient(a,c),difference(c,product(a,c))))
    | product(quotient(a,c),difference(c,product(a,c))) != product(a,difference(c,a))
    | bigC(difference(c,product(a,c)),B,quotient(a,c)) = product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),product(product(difference(c,product(a,c)),B),product(quotient(a,c),difference(c,product(a,c))))) ),[1,1],$fot(product(a,difference(c,a)))]]) ).

cnf(refute_0_16525,plain,
    ( bigC(difference(c,product(a,c)),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(quotient(a,c),difference(c,product(a,c))))
    | bigC(difference(c,product(a,c)),B,quotient(a,c)) = product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),difference(c,product(a,c))),product(a,difference(c,a))) )],[refute_0_16439,refute_0_16524]) ).

cnf(refute_0_16526,plain,
    bigC(difference(c,product(a,c)),B,quotient(a,c)) = product(product(difference(c,product(a,c)),B),product(a,difference(c,a))),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),product(product(difference(c,product(a,c)),B),product(quotient(a,c),difference(c,product(a,c))))) )],[refute_0_16523,refute_0_16525]) ).

cnf(refute_0_16527,plain,
    bigC(difference(c,product(a,c)),B,quotient(a,c)) = bigC(difference(c,product(a,c)),B,quotient(a,c)),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,c)),B,quotient(a,c)))]]) ).

cnf(refute_0_16528,plain,
    ( bigC(difference(c,product(a,c)),B,quotient(a,c)) != bigC(difference(c,product(a,c)),B,quotient(a,c))
    | difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),B,quotient(a,c)) = bigC(difference(b,c),B,quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),bigC(difference(c,product(a,c)),B,quotient(a,c))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16529,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),B,quotient(a,c)) = bigC(difference(b,c),B,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),bigC(difference(c,product(a,c)),B,quotient(a,c))) )],[refute_0_16527,refute_0_16528]) ).

cnf(refute_0_16530,plain,
    bigC(difference(c,product(a,c)),B,quotient(a,c)) = bigC(difference(b,c),B,quotient(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_16529]) ).

cnf(refute_0_16531,plain,
    ( bigC(difference(c,product(a,c)),B,quotient(a,c)) != bigC(difference(b,c),B,quotient(a,c))
    | bigC(difference(c,product(a,c)),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))
    | bigC(difference(b,c),B,quotient(a,c)) = product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))) ),[0],$fot(bigC(difference(b,c),B,quotient(a,c)))]]) ).

cnf(refute_0_16532,plain,
    ( bigC(difference(c,product(a,c)),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))
    | bigC(difference(b,c),B,quotient(a,c)) = product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),bigC(difference(b,c),B,quotient(a,c))) )],[refute_0_16530,refute_0_16531]) ).

cnf(refute_0_16533,plain,
    product(product(a,B),a) = bigC(a,B,a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a)),bind(X_22,$fot(B))]]) ).

cnf(refute_0_16534,plain,
    product(product(a,c),product(B,difference(c,a))) = product(product(a,B),a),
    inference(subst,[],[refute_0_13602:[bind(B,$fot(a)),bind(X_63,$fot(a)),bind(X_64,$fot(B)),bind(X_65,$fot(c))]]) ).

cnf(refute_0_16535,plain,
    ( product(product(a,B),a) != bigC(a,B,a)
    | product(product(a,c),product(B,difference(c,a))) != product(product(a,B),a)
    | product(product(a,c),product(B,difference(c,a))) = bigC(a,B,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(B,difference(c,a))))),bind(Y,$fot(product(product(a,B),a))),bind(Z,$fot(bigC(a,B,a)))]]) ).

cnf(refute_0_16536,plain,
    ( product(product(a,B),a) != bigC(a,B,a)
    | product(product(a,c),product(B,difference(c,a))) = bigC(a,B,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(B,difference(c,a))),product(product(a,B),a)) )],[refute_0_16534,refute_0_16535]) ).

cnf(refute_0_16537,plain,
    product(product(a,c),product(B,difference(c,a))) = bigC(a,B,a),
    inference(resolve,[$cnf( $equal(product(product(a,B),a),bigC(a,B,a)) )],[refute_0_16533,refute_0_16536]) ).

cnf(refute_0_16538,plain,
    product(product(difference(b,c),B),product(a,difference(c,a))) = product(product(a,c),product(B,difference(c,a))),
    inference(subst,[],[refute_0_13809:[bind(D,$fot(difference(c,a)))]]) ).

cnf(refute_0_16539,plain,
    ( product(product(a,c),product(B,difference(c,a))) != bigC(a,B,a)
    | product(product(difference(b,c),B),product(a,difference(c,a))) != product(product(a,c),product(B,difference(c,a)))
    | product(product(difference(b,c),B),product(a,difference(c,a))) = bigC(a,B,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(b,c),B),product(a,difference(c,a))))),bind(Y,$fot(product(product(a,c),product(B,difference(c,a))))),bind(Z,$fot(bigC(a,B,a)))]]) ).

cnf(refute_0_16540,plain,
    ( product(product(a,c),product(B,difference(c,a))) != bigC(a,B,a)
    | product(product(difference(b,c),B),product(a,difference(c,a))) = bigC(a,B,a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(a,difference(c,a))),product(product(a,c),product(B,difference(c,a)))) )],[refute_0_16538,refute_0_16539]) ).

cnf(refute_0_16541,plain,
    product(product(difference(b,c),B),product(a,difference(c,a))) = bigC(a,B,a),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(B,difference(c,a))),bigC(a,B,a)) )],[refute_0_16537,refute_0_16540]) ).

cnf(refute_0_16542,plain,
    product(difference(c,product(a,c)),B) = product(difference(c,product(a,c)),B),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,c)),B))]]) ).

cnf(refute_0_16543,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(difference(c,product(a,c)),B) != product(difference(c,product(a,c)),B)
    | product(difference(c,product(a,c)),B) = product(difference(b,c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,c)),B),product(difference(c,product(a,c)),B)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16544,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(difference(c,product(a,c)),B) = product(difference(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),B),product(difference(c,product(a,c)),B)) )],[refute_0_16542,refute_0_16543]) ).

cnf(refute_0_16545,plain,
    product(difference(c,product(a,c)),B) = product(difference(b,c),B),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_16544]) ).

cnf(refute_0_16546,plain,
    product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = product(product(difference(c,product(a,c)),B),product(a,difference(c,a))),
    introduced(tautology,[refl,[$fot(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))))]]) ).

cnf(refute_0_16547,plain,
    ( product(difference(c,product(a,c)),B) != product(difference(b,c),B)
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) != product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = product(product(difference(b,c),B),product(a,difference(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))),product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))) ),[1,0],$fot(product(difference(b,c),B))]]) ).

cnf(refute_0_16548,plain,
    ( product(difference(c,product(a,c)),B) != product(difference(b,c),B)
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = product(product(difference(b,c),B),product(a,difference(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))),product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))) )],[refute_0_16546,refute_0_16547]) ).

cnf(refute_0_16549,plain,
    product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = product(product(difference(b,c),B),product(a,difference(c,a))),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),B),product(difference(b,c),B)) )],[refute_0_16545,refute_0_16548]) ).

cnf(refute_0_16550,plain,
    ( product(product(difference(b,c),B),product(a,difference(c,a))) != bigC(a,B,a)
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) != product(product(difference(b,c),B),product(a,difference(c,a)))
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = bigC(a,B,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))))),bind(Y,$fot(product(product(difference(b,c),B),product(a,difference(c,a))))),bind(Z,$fot(bigC(a,B,a)))]]) ).

cnf(refute_0_16551,plain,
    ( product(product(difference(b,c),B),product(a,difference(c,a))) != bigC(a,B,a)
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = bigC(a,B,a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))),product(product(difference(b,c),B),product(a,difference(c,a)))) )],[refute_0_16549,refute_0_16550]) ).

cnf(refute_0_16552,plain,
    product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) = bigC(a,B,a),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(a,difference(c,a))),bigC(a,B,a)) )],[refute_0_16541,refute_0_16551]) ).

cnf(refute_0_16553,plain,
    ( bigC(difference(b,c),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))
    | product(product(difference(c,product(a,c)),B),product(a,difference(c,a))) != bigC(a,B,a)
    | bigC(difference(b,c),B,quotient(a,c)) = bigC(a,B,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),B,quotient(a,c)),bigC(a,B,a)) ),[0],$fot(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))))]]) ).

cnf(refute_0_16554,plain,
    ( bigC(difference(b,c),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))
    | bigC(difference(b,c),B,quotient(a,c)) = bigC(a,B,a) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,c)),B),product(a,difference(c,a))),bigC(a,B,a)) )],[refute_0_16552,refute_0_16553]) ).

cnf(refute_0_16555,plain,
    ( bigC(difference(c,product(a,c)),B,quotient(a,c)) != product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))
    | bigC(difference(b,c),B,quotient(a,c)) = bigC(a,B,a) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),B,quotient(a,c)),product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))) )],[refute_0_16532,refute_0_16554]) ).

cnf(refute_0_16556,plain,
    bigC(difference(b,c),B,quotient(a,c)) = bigC(a,B,a),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),B,quotient(a,c)),product(product(difference(c,product(a,c)),B),product(a,difference(c,a)))) )],[refute_0_16526,refute_0_16555]) ).

cnf(refute_0_16557,plain,
    bigC(difference(b,c),difference(b,c),quotient(a,c)) = bigC(a,difference(b,c),a),
    inference(subst,[],[refute_0_16556:[bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_16558,plain,
    ( bigC(a,difference(b,c),a) != product(a,product(a,c))
    | bigC(difference(b,c),difference(b,c),quotient(a,c)) != bigC(a,difference(b,c),a)
    | bigC(difference(b,c),difference(b,c),quotient(a,c)) = product(a,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(b,c),difference(b,c),quotient(a,c)))),bind(Y,$fot(bigC(a,difference(b,c),a))),bind(Z,$fot(product(a,product(a,c))))]]) ).

cnf(refute_0_16559,plain,
    ( bigC(a,difference(b,c),a) != product(a,product(a,c))
    | bigC(difference(b,c),difference(b,c),quotient(a,c)) = product(a,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),quotient(a,c)),bigC(a,difference(b,c),a)) )],[refute_0_16557,refute_0_16558]) ).

cnf(refute_0_16560,plain,
    bigC(difference(b,c),difference(b,c),quotient(a,c)) = product(a,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,difference(b,c),a),product(a,product(a,c))) )],[refute_0_16522,refute_0_16559]) ).

cnf(refute_0_16561,plain,
    ( bigC(difference(b,c),difference(b,c),quotient(a,c)) != bigC(difference(c,a),a,c)
    | bigC(difference(b,c),difference(b,c),quotient(a,c)) != product(a,product(a,c))
    | product(a,product(a,c)) = bigC(difference(c,a),a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),difference(b,c),quotient(a,c)),bigC(difference(c,a),a,c)) ),[0],$fot(product(a,product(a,c)))]]) ).

cnf(refute_0_16562,plain,
    ( bigC(difference(b,c),difference(b,c),quotient(a,c)) != bigC(difference(c,a),a,c)
    | product(a,product(a,c)) = bigC(difference(c,a),a,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),quotient(a,c)),product(a,product(a,c))) )],[refute_0_16560,refute_0_16561]) ).

cnf(refute_0_16563,plain,
    product(a,product(a,c)) = bigC(difference(c,a),a,c),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),difference(b,c),quotient(a,c)),bigC(difference(c,a),a,c)) )],[refute_0_16492,refute_0_16562]) ).

cnf(refute_0_16564,plain,
    ( product(a,product(a,c)) != bigC(difference(c,a),a,c)
    | bigC(difference(c,a),a,c) = product(a,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(a,c)))),bind(Y,$fot(bigC(difference(c,a),a,c)))]]) ).

cnf(refute_0_16565,plain,
    bigC(difference(c,a),a,c) = product(a,product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(a,c)),bigC(difference(c,a),a,c)) )],[refute_0_16563,refute_0_16564]) ).

cnf(refute_0_16566,plain,
    ( bigC(difference(c,a),a,c) != product(a,product(a,c))
    | quotient(bigC(difference(c,a),a,c),product(c,difference(c,a))) != product(difference(c,a),a)
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) = product(difference(c,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(difference(c,a),a,c),product(c,difference(c,a))),product(difference(c,a),a)) ),[0,0],$fot(product(a,product(a,c)))]]) ).

cnf(refute_0_16567,plain,
    ( quotient(bigC(difference(c,a),a,c),product(c,difference(c,a))) != product(difference(c,a),a)
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) = product(difference(c,a),a) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,a),a,c),product(a,product(a,c))) )],[refute_0_16565,refute_0_16566]) ).

cnf(refute_0_16568,plain,
    quotient(product(a,product(a,c)),product(c,difference(c,a))) = product(difference(c,a),a),
    inference(resolve,[$cnf( $equal(quotient(bigC(difference(c,a),a,c),product(c,difference(c,a))),product(difference(c,a),a)) )],[refute_0_16373,refute_0_16567]) ).

cnf(refute_0_16569,plain,
    quotient(product(a,c),a) = product(a,quotient(c,a)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(c)),bind(X_85,$fot(a))]]) ).

cnf(refute_0_16570,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | quotient(product(a,c),a) != product(a,quotient(c,a))
    | quotient(product(a,c),a) = difference(b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,c),a))),bind(Y,$fot(product(a,quotient(c,a)))),bind(Z,$fot(difference(b,c)))]]) ).

cnf(refute_0_16571,plain,
    ( product(a,quotient(c,a)) != difference(b,c)
    | quotient(product(a,c),a) = difference(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),a),product(a,quotient(c,a))) )],[refute_0_16569,refute_0_16570]) ).

cnf(refute_0_16572,plain,
    quotient(product(a,c),a) = difference(b,c),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_16571]) ).

cnf(refute_0_16573,plain,
    product(a,quotient(product(a,c),a)) = product(a,quotient(product(a,c),a)),
    introduced(tautology,[refl,[$fot(product(a,quotient(product(a,c),a)))]]) ).

cnf(refute_0_16574,plain,
    ( product(a,quotient(product(a,c),a)) != product(a,quotient(product(a,c),a))
    | quotient(product(a,c),a) != difference(b,c)
    | product(a,quotient(product(a,c),a)) = product(a,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,quotient(product(a,c),a)),product(a,quotient(product(a,c),a))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_16575,plain,
    ( quotient(product(a,c),a) != difference(b,c)
    | product(a,quotient(product(a,c),a)) = product(a,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,c),a)),product(a,quotient(product(a,c),a))) )],[refute_0_16573,refute_0_16574]) ).

cnf(refute_0_16576,plain,
    product(a,quotient(product(a,c),a)) = product(a,difference(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),a),difference(b,c)) )],[refute_0_16572,refute_0_16575]) ).

cnf(refute_0_16577,plain,
    ( product(a,difference(b,c)) != difference(product(c,a),a)
    | product(a,quotient(product(a,c),a)) != product(a,difference(b,c))
    | product(a,quotient(product(a,c),a)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(a,quotient(product(a,c),a)))),bind(Y,$fot(product(a,difference(b,c)))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_16578,plain,
    ( product(a,difference(b,c)) != difference(product(c,a),a)
    | product(a,quotient(product(a,c),a)) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,c),a)),product(a,difference(b,c))) )],[refute_0_16576,refute_0_16577]) ).

cnf(refute_0_16579,plain,
    product(a,quotient(product(a,c),a)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(product(a,difference(b,c)),difference(product(c,a),a)) )],[refute_0_15308,refute_0_16578]) ).

cnf(refute_0_16580,plain,
    quotient(product(a,product(a,c)),a) = product(a,quotient(product(a,c),a)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(product(a,c))),bind(X_85,$fot(a))]]) ).

cnf(refute_0_16581,plain,
    ( product(a,quotient(product(a,c),a)) != difference(product(c,a),a)
    | quotient(product(a,product(a,c)),a) != product(a,quotient(product(a,c),a))
    | quotient(product(a,product(a,c)),a) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(a,c)),a))),bind(Y,$fot(product(a,quotient(product(a,c),a)))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_16582,plain,
    ( product(a,quotient(product(a,c),a)) != difference(product(c,a),a)
    | quotient(product(a,product(a,c)),a) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,c)),a),product(a,quotient(product(a,c),a))) )],[refute_0_16580,refute_0_16581]) ).

cnf(refute_0_16583,plain,
    quotient(product(a,product(a,c)),a) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,c),a)),difference(product(c,a),a)) )],[refute_0_16579,refute_0_16582]) ).

cnf(refute_0_16584,plain,
    product(c,difference(c,a)) = a,
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(a))]]) ).

cnf(refute_0_16585,plain,
    quotient(product(a,product(a,c)),product(c,difference(c,a))) = quotient(product(a,product(a,c)),product(c,difference(c,a))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(a,c)),product(c,difference(c,a))))]]) ).

cnf(refute_0_16586,plain,
    ( product(c,difference(c,a)) != a
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) != quotient(product(a,product(a,c)),product(c,difference(c,a)))
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) = quotient(product(a,product(a,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(a,c)),product(c,difference(c,a))),quotient(product(a,product(a,c)),product(c,difference(c,a)))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_16587,plain,
    ( product(c,difference(c,a)) != a
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) = quotient(product(a,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,c)),product(c,difference(c,a))),quotient(product(a,product(a,c)),product(c,difference(c,a)))) )],[refute_0_16585,refute_0_16586]) ).

cnf(refute_0_16588,plain,
    quotient(product(a,product(a,c)),product(c,difference(c,a))) = quotient(product(a,product(a,c)),a),
    inference(resolve,[$cnf( $equal(product(c,difference(c,a)),a) )],[refute_0_16584,refute_0_16587]) ).

cnf(refute_0_16589,plain,
    ( quotient(product(a,product(a,c)),a) != difference(product(c,a),a)
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) != quotient(product(a,product(a,c)),a)
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(a,c)),product(c,difference(c,a))))),bind(Y,$fot(quotient(product(a,product(a,c)),a))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_16590,plain,
    ( quotient(product(a,product(a,c)),a) != difference(product(c,a),a)
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,c)),product(c,difference(c,a))),quotient(product(a,product(a,c)),a)) )],[refute_0_16588,refute_0_16589]) ).

cnf(refute_0_16591,plain,
    quotient(product(a,product(a,c)),product(c,difference(c,a))) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,c)),a),difference(product(c,a),a)) )],[refute_0_16583,refute_0_16590]) ).

cnf(refute_0_16592,plain,
    ( quotient(product(a,product(a,c)),product(c,difference(c,a))) != difference(product(c,a),a)
    | quotient(product(a,product(a,c)),product(c,difference(c,a))) != product(difference(c,a),a)
    | difference(product(c,a),a) = product(difference(c,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(a,c)),product(c,difference(c,a))),product(difference(c,a),a)) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16593,plain,
    ( quotient(product(a,product(a,c)),product(c,difference(c,a))) != product(difference(c,a),a)
    | difference(product(c,a),a) = product(difference(c,a),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,c)),product(c,difference(c,a))),difference(product(c,a),a)) )],[refute_0_16591,refute_0_16592]) ).

cnf(refute_0_16594,plain,
    difference(product(c,a),a) = product(difference(c,a),a),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,c)),product(c,difference(c,a))),product(difference(c,a),a)) )],[refute_0_16568,refute_0_16593]) ).

cnf(refute_0_16595,plain,
    ( difference(product(c,a),a) != product(difference(c,a),a)
    | product(difference(c,a),a) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(product(difference(c,a),a)))]]) ).

cnf(refute_0_16596,plain,
    product(difference(c,a),a) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),product(difference(c,a),a)) )],[refute_0_16594,refute_0_16595]) ).

cnf(refute_0_16597,plain,
    ( bigC(a,B,difference(c,a)) != product(product(a,B),product(difference(c,a),a))
    | product(difference(c,a),a) != difference(product(c,a),a)
    | bigC(a,B,difference(c,a)) = product(product(a,B),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,B,difference(c,a)),product(product(a,B),product(difference(c,a),a))) ),[1,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16598,plain,
    ( bigC(a,B,difference(c,a)) != product(product(a,B),product(difference(c,a),a))
    | bigC(a,B,difference(c,a)) = product(product(a,B),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,a),a),difference(product(c,a),a)) )],[refute_0_16596,refute_0_16597]) ).

cnf(refute_0_16599,plain,
    bigC(a,B,difference(c,a)) = product(product(a,B),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,a)),product(product(a,B),product(difference(c,a),a))) )],[refute_0_16372,refute_0_16598]) ).

cnf(refute_0_16600,plain,
    product(product(a,B),difference(product(c,a),a)) = bigC(a,a,difference(c,product(a,B))),
    inference(subst,[],[refute_0_16334:[bind(B,$fot(product(a,B)))]]) ).

cnf(refute_0_16601,plain,
    ( bigC(a,B,difference(c,a)) != product(product(a,B),difference(product(c,a),a))
    | product(product(a,B),difference(product(c,a),a)) != bigC(a,a,difference(c,product(a,B)))
    | bigC(a,B,difference(c,a)) = bigC(a,a,difference(c,product(a,B))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,B,difference(c,a)),bigC(a,a,difference(c,product(a,B)))) ),[0],$fot(product(product(a,B),difference(product(c,a),a)))]]) ).

cnf(refute_0_16602,plain,
    ( bigC(a,B,difference(c,a)) != product(product(a,B),difference(product(c,a),a))
    | bigC(a,B,difference(c,a)) = bigC(a,a,difference(c,product(a,B))) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),difference(product(c,a),a)),bigC(a,a,difference(c,product(a,B)))) )],[refute_0_16600,refute_0_16601]) ).

cnf(refute_0_16603,plain,
    bigC(a,B,difference(c,a)) = bigC(a,a,difference(c,product(a,B))),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,a)),product(product(a,B),difference(product(c,a),a))) )],[refute_0_16599,refute_0_16602]) ).

cnf(refute_0_16604,plain,
    ( bigC(a,B,difference(c,a)) != bigC(a,a,difference(c,product(a,B)))
    | bigC(a,a,difference(c,product(a,B))) = bigC(a,B,difference(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,B,difference(c,a)))),bind(Y,$fot(bigC(a,a,difference(c,product(a,B)))))]]) ).

cnf(refute_0_16605,plain,
    bigC(a,a,difference(c,product(a,B))) = bigC(a,B,difference(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,B,difference(c,a)),bigC(a,a,difference(c,product(a,B)))) )],[refute_0_16603,refute_0_16604]) ).

cnf(refute_0_16606,plain,
    bigC(a,a,difference(c,product(a,quotient(c,a)))) = bigC(a,quotient(c,a),difference(c,a)),
    inference(subst,[],[refute_0_16605:[bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_16607,plain,
    ( bigC(a,a,difference(c,product(a,quotient(c,a)))) != bigC(a,quotient(c,a),difference(c,a))
    | bigC(a,quotient(c,a),difference(c,a)) != product(a,product(a,b))
    | bigC(a,a,difference(c,product(a,quotient(c,a)))) = product(a,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,a,difference(c,product(a,quotient(c,a)))))),bind(Y,$fot(bigC(a,quotient(c,a),difference(c,a)))),bind(Z,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_16608,plain,
    ( bigC(a,quotient(c,a),difference(c,a)) != product(a,product(a,b))
    | bigC(a,a,difference(c,product(a,quotient(c,a)))) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,product(a,quotient(c,a)))),bigC(a,quotient(c,a),difference(c,a))) )],[refute_0_16606,refute_0_16607]) ).

cnf(refute_0_16609,plain,
    bigC(a,a,difference(c,product(a,quotient(c,a)))) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),difference(c,a)),product(a,product(a,b))) )],[refute_0_16371,refute_0_16608]) ).

cnf(refute_0_16610,plain,
    product(product(A,c),product(C,quotient(difference(b,c),a))) = product(product(A,C),product(c,quotient(difference(b,c),a))),
    inference(subst,[],[sos05:[bind(B,$fot(c)),bind(D,$fot(quotient(difference(b,c),a)))]]) ).

cnf(refute_0_16611,plain,
    product(c,difference(c,difference(product(c,a),a))) = difference(product(c,a),a),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_16612,plain,
    ( difference(c,difference(product(c,a),a)) != quotient(difference(b,c),a)
    | product(c,difference(c,difference(product(c,a),a))) != difference(product(c,a),a)
    | product(c,quotient(difference(b,c),a)) = difference(product(c,a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(c,difference(product(c,a),a))),difference(product(c,a),a)) ),[0,1],$fot(quotient(difference(b,c),a))]]) ).

cnf(refute_0_16613,plain,
    ( product(c,difference(c,difference(product(c,a),a))) != difference(product(c,a),a)
    | product(c,quotient(difference(b,c),a)) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(b,c),a)) )],[refute_0_16123,refute_0_16612]) ).

cnf(refute_0_16614,plain,
    product(c,quotient(difference(b,c),a)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(product(c,difference(c,difference(product(c,a),a))),difference(product(c,a),a)) )],[refute_0_16611,refute_0_16613]) ).

cnf(refute_0_16615,plain,
    ( product(c,quotient(difference(b,c),a)) != difference(product(c,a),a)
    | product(product(A,c),product(C,quotient(difference(b,c),a))) != product(product(A,C),product(c,quotient(difference(b,c),a)))
    | product(product(A,c),product(C,quotient(difference(b,c),a))) = product(product(A,C),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,quotient(difference(b,c),a))),product(product(A,C),product(c,quotient(difference(b,c),a)))) ),[1,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16616,plain,
    ( product(product(A,c),product(C,quotient(difference(b,c),a))) != product(product(A,C),product(c,quotient(difference(b,c),a)))
    | product(product(A,c),product(C,quotient(difference(b,c),a))) = product(product(A,C),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(b,c),a)),difference(product(c,a),a)) )],[refute_0_16614,refute_0_16615]) ).

cnf(refute_0_16617,plain,
    product(product(A,c),product(C,quotient(difference(b,c),a))) = product(product(A,C),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,quotient(difference(b,c),a))),product(product(A,C),product(c,quotient(difference(b,c),a)))) )],[refute_0_16610,refute_0_16616]) ).

cnf(refute_0_16618,plain,
    product(product(A,C),difference(product(c,a),a)) = bigC(a,a,difference(c,product(A,C))),
    inference(subst,[],[refute_0_16334:[bind(B,$fot(product(A,C)))]]) ).

cnf(refute_0_16619,plain,
    ( product(product(A,C),difference(product(c,a),a)) != bigC(a,a,difference(c,product(A,C)))
    | product(product(A,c),product(C,quotient(difference(b,c),a))) != product(product(A,C),difference(product(c,a),a))
    | product(product(A,c),product(C,quotient(difference(b,c),a))) = bigC(a,a,difference(c,product(A,C))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,quotient(difference(b,c),a))),product(product(A,C),difference(product(c,a),a))) ),[1],$fot(bigC(a,a,difference(c,product(A,C))))]]) ).

cnf(refute_0_16620,plain,
    ( product(product(A,c),product(C,quotient(difference(b,c),a))) != product(product(A,C),difference(product(c,a),a))
    | product(product(A,c),product(C,quotient(difference(b,c),a))) = bigC(a,a,difference(c,product(A,C))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(c,a),a)),bigC(a,a,difference(c,product(A,C)))) )],[refute_0_16618,refute_0_16619]) ).

cnf(refute_0_16621,plain,
    product(product(A,c),product(C,quotient(difference(b,c),a))) = bigC(a,a,difference(c,product(A,C))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,quotient(difference(b,c),a))),product(product(A,C),difference(product(c,a),a))) )],[refute_0_16617,refute_0_16620]) ).

cnf(refute_0_16622,plain,
    product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) = bigC(a,a,difference(c,product(a,quotient(c,a)))),
    inference(subst,[],[refute_0_16621:[bind(A,$fot(a)),bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_16623,plain,
    ( bigC(a,a,difference(c,product(a,quotient(c,a)))) != product(a,product(a,b))
    | product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) != bigC(a,a,difference(c,product(a,quotient(c,a))))
    | product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) = product(a,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))))),bind(Y,$fot(bigC(a,a,difference(c,product(a,quotient(c,a)))))),bind(Z,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_16624,plain,
    ( bigC(a,a,difference(c,product(a,quotient(c,a)))) != product(a,product(a,b))
    | product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))),bigC(a,a,difference(c,product(a,quotient(c,a))))) )],[refute_0_16622,refute_0_16623]) ).

cnf(refute_0_16625,plain,
    product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,product(a,quotient(c,a)))),product(a,product(a,b))) )],[refute_0_16609,refute_0_16624]) ).

cnf(refute_0_16626,plain,
    product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),
    introduced(tautology,[refl,[$fot(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))))]]) ).

cnf(refute_0_16627,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) != product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))
    | product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_16628,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))) )],[refute_0_16626,refute_0_16627]) ).

cnf(refute_0_16629,plain,
    product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_13662,refute_0_16628]) ).

cnf(refute_0_16630,plain,
    ( product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) != product(a,product(a,b))
    | product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) != product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a)))
    | product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(a,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))))),bind(Y,$fot(product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))))),bind(Z,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_16631,plain,
    ( product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))) != product(a,product(a,b))
    | product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a)))) )],[refute_0_16629,refute_0_16630]) ).

cnf(refute_0_16632,plain,
    product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(quotient(c,a),quotient(difference(b,c),a))),product(a,product(a,b))) )],[refute_0_16625,refute_0_16631]) ).

cnf(refute_0_16633,plain,
    product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(difference(c,difference(product(c,a),a)),a))),bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_16634,plain,
    ( product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)) != difference(c,product(a,product(c,b)))
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) != product(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),product(B,D))
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(difference(c,product(a,product(c,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),product(B,D))) ),[1,0],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_16635,plain,
    ( product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) != product(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),product(B,D))
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(difference(c,product(a,product(c,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),difference(c,product(a,product(c,b)))) )],[refute_0_16077,refute_0_16634]) ).

cnf(refute_0_16636,plain,
    product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(difference(c,product(a,product(c,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(product(product(difference(c,difference(product(c,a),a)),a),quotient(c,a)),product(B,D))) )],[refute_0_16633,refute_0_16635]) ).

cnf(refute_0_16637,plain,
    product(product(difference(c,difference(product(c,a),a)),a),B) = product(product(difference(c,difference(product(c,a),a)),a),B),
    introduced(tautology,[refl,[$fot(product(product(difference(c,difference(product(c,a),a)),a),B))]]) ).

cnf(refute_0_16638,plain,
    ( product(difference(c,difference(product(c,a),a)),a) != difference(b,c)
    | product(product(difference(c,difference(product(c,a),a)),a),B) != product(product(difference(c,difference(product(c,a),a)),a),B)
    | product(product(difference(c,difference(product(c,a),a)),a),B) = product(difference(b,c),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),B),product(product(difference(c,difference(product(c,a),a)),a),B)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_16639,plain,
    ( product(difference(c,difference(product(c,a),a)),a) != difference(b,c)
    | product(product(difference(c,difference(product(c,a),a)),a),B) = product(difference(b,c),B) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),B),product(product(difference(c,difference(product(c,a),a)),a),B)) )],[refute_0_16637,refute_0_16638]) ).

cnf(refute_0_16640,plain,
    product(product(difference(c,difference(product(c,a),a)),a),B) = product(difference(b,c),B),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(product(c,a),a)),a),difference(b,c)) )],[refute_0_16114,refute_0_16639]) ).

cnf(refute_0_16641,plain,
    product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),
    introduced(tautology,[refl,[$fot(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)))]]) ).

cnf(refute_0_16642,plain,
    ( product(product(difference(c,difference(product(c,a),a)),a),B) != product(difference(b,c),B)
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) != product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D))
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(product(difference(b,c),B),product(quotient(c,a),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D))) ),[1,0],$fot(product(difference(b,c),B))]]) ).

cnf(refute_0_16643,plain,
    ( product(product(difference(c,difference(product(c,a),a)),a),B) != product(difference(b,c),B)
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(product(difference(b,c),B),product(quotient(c,a),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D))) )],[refute_0_16641,refute_0_16642]) ).

cnf(refute_0_16644,plain,
    product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) = product(product(difference(b,c),B),product(quotient(c,a),D)),
    inference(resolve,[$cnf( $equal(product(product(difference(c,difference(product(c,a),a)),a),B),product(difference(b,c),B)) )],[refute_0_16640,refute_0_16643]) ).

cnf(refute_0_16645,plain,
    ( product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) != product(difference(c,product(a,product(c,b))),product(B,D))
    | product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) != product(product(difference(b,c),B),product(quotient(c,a),D))
    | product(product(difference(b,c),B),product(quotient(c,a),D)) = product(difference(c,product(a,product(c,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(difference(c,product(a,product(c,b))),product(B,D))) ),[0],$fot(product(product(difference(b,c),B),product(quotient(c,a),D)))]]) ).

cnf(refute_0_16646,plain,
    ( product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)) != product(difference(c,product(a,product(c,b))),product(B,D))
    | product(product(difference(b,c),B),product(quotient(c,a),D)) = product(difference(c,product(a,product(c,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(product(difference(b,c),B),product(quotient(c,a),D))) )],[refute_0_16644,refute_0_16645]) ).

cnf(refute_0_16647,plain,
    product(product(difference(b,c),B),product(quotient(c,a),D)) = product(difference(c,product(a,product(c,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(c,difference(product(c,a),a)),a),B),product(quotient(c,a),D)),product(difference(c,product(a,product(c,b))),product(B,D))) )],[refute_0_16636,refute_0_16646]) ).

cnf(refute_0_16648,plain,
    product(quotient(difference(c,product(a,product(c,b))),c),c) = difference(c,product(a,product(c,b))),
    inference(subst,[],[sos04:[bind(A,$fot(difference(c,product(a,product(c,b))))),bind(B,$fot(c))]]) ).

cnf(refute_0_16649,plain,
    ( difference(c,difference(product(c,a),a)) != quotient(difference(b,c),a)
    | difference(c,difference(product(c,a),a)) != quotient(difference(c,product(a,product(c,b))),c)
    | quotient(difference(b,c),a) = quotient(difference(c,product(a,product(c,b))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(c,product(a,product(c,b))),c)) ),[0],$fot(quotient(difference(b,c),a))]]) ).

cnf(refute_0_16650,plain,
    ( difference(c,difference(product(c,a),a)) != quotient(difference(c,product(a,product(c,b))),c)
    | quotient(difference(b,c),a) = quotient(difference(c,product(a,product(c,b))),c) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(b,c),a)) )],[refute_0_16123,refute_0_16649]) ).

cnf(refute_0_16651,plain,
    quotient(difference(b,c),a) = quotient(difference(c,product(a,product(c,b))),c),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(c,product(a,product(c,b))),c)) )],[refute_0_15449,refute_0_16650]) ).

cnf(refute_0_16652,plain,
    ( quotient(difference(b,c),a) != quotient(difference(c,product(a,product(c,b))),c)
    | quotient(difference(c,product(a,product(c,b))),c) = quotient(difference(b,c),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(difference(b,c),a))),bind(Y,$fot(quotient(difference(c,product(a,product(c,b))),c)))]]) ).

cnf(refute_0_16653,plain,
    quotient(difference(c,product(a,product(c,b))),c) = quotient(difference(b,c),a),
    inference(resolve,[$cnf( $equal(quotient(difference(b,c),a),quotient(difference(c,product(a,product(c,b))),c)) )],[refute_0_16651,refute_0_16652]) ).

cnf(refute_0_16654,plain,
    ( product(quotient(difference(c,product(a,product(c,b))),c),c) != difference(c,product(a,product(c,b)))
    | quotient(difference(c,product(a,product(c,b))),c) != quotient(difference(b,c),a)
    | product(quotient(difference(b,c),a),c) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(difference(c,product(a,product(c,b))),c),c),difference(c,product(a,product(c,b)))) ),[0,0],$fot(quotient(difference(b,c),a))]]) ).

cnf(refute_0_16655,plain,
    ( product(quotient(difference(c,product(a,product(c,b))),c),c) != difference(c,product(a,product(c,b)))
    | product(quotient(difference(b,c),a),c) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(a,product(c,b))),c),quotient(difference(b,c),a)) )],[refute_0_16653,refute_0_16654]) ).

cnf(refute_0_16656,plain,
    product(quotient(difference(b,c),a),c) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(quotient(difference(c,product(a,product(c,b))),c),c),difference(c,product(a,product(c,b)))) )],[refute_0_16648,refute_0_16655]) ).

cnf(refute_0_16657,plain,
    difference(product(c,b),bigC(c,b,quotient(difference(b,c),a))) = product(quotient(difference(b,c),a),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(quotient(difference(b,c),a)))]]) ).

cnf(refute_0_16658,plain,
    product(quotient(product(a,b),product(b,c)),product(b,c)) = product(a,b),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_16659,plain,
    difference(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c)))) = quotient(product(a,b),product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(b,c))),bind(B,$fot(quotient(product(a,b),product(b,c))))]]) ).

cnf(refute_0_16660,plain,
    ( difference(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c)))) != quotient(product(a,b),product(b,c))
    | product(product(b,c),quotient(product(a,b),product(b,c))) != difference(product(b,c),product(b,a))
    | difference(product(b,c),difference(product(b,c),product(b,a))) = quotient(product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c)))),quotient(product(a,b),product(b,c))) ),[0,1],$fot(difference(product(b,c),product(b,a)))]]) ).

cnf(refute_0_16661,plain,
    ( difference(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c)))) != quotient(product(a,b),product(b,c))
    | difference(product(b,c),difference(product(b,c),product(b,a))) = quotient(product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(a,b),product(b,c))),difference(product(b,c),product(b,a))) )],[refute_0_9938,refute_0_16660]) ).

cnf(refute_0_16662,plain,
    difference(product(b,c),difference(product(b,c),product(b,a))) = quotient(product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,c),quotient(product(a,b),product(b,c)))),quotient(product(a,b),product(b,c))) )],[refute_0_16659,refute_0_16661]) ).

cnf(refute_0_16663,plain,
    difference(product(b,c),difference(product(b,c),product(b,a))) = difference(product(b,c),difference(product(b,c),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,c),difference(product(b,c),product(b,a))))]]) ).

cnf(refute_0_16664,plain,
    ( difference(product(b,c),difference(product(b,c),product(b,a))) != difference(product(b,c),difference(product(b,c),product(b,a)))
    | difference(product(b,c),product(b,a)) != product(c,a)
    | difference(product(b,c),difference(product(b,c),product(b,a))) = difference(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),difference(product(b,c),product(b,a))),difference(product(b,c),difference(product(b,c),product(b,a)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_16665,plain,
    ( difference(product(b,c),product(b,a)) != product(c,a)
    | difference(product(b,c),difference(product(b,c),product(b,a))) = difference(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(b,c),product(b,a))),difference(product(b,c),difference(product(b,c),product(b,a)))) )],[refute_0_16663,refute_0_16664]) ).

cnf(refute_0_16666,plain,
    difference(product(b,c),difference(product(b,c),product(b,a))) = difference(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,a)),product(c,a)) )],[refute_0_11868,refute_0_16665]) ).

cnf(refute_0_16667,plain,
    ( difference(product(b,c),difference(product(b,c),product(b,a))) != difference(product(b,c),product(c,a))
    | difference(product(b,c),difference(product(b,c),product(b,a))) != quotient(product(a,b),product(b,c))
    | difference(product(b,c),product(c,a)) = quotient(product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),difference(product(b,c),product(b,a))),quotient(product(a,b),product(b,c))) ),[0],$fot(difference(product(b,c),product(c,a)))]]) ).

cnf(refute_0_16668,plain,
    ( difference(product(b,c),difference(product(b,c),product(b,a))) != quotient(product(a,b),product(b,c))
    | difference(product(b,c),product(c,a)) = quotient(product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(b,c),product(b,a))),difference(product(b,c),product(c,a))) )],[refute_0_16666,refute_0_16667]) ).

cnf(refute_0_16669,plain,
    difference(product(b,c),product(c,a)) = quotient(product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),difference(product(b,c),product(b,a))),quotient(product(a,b),product(b,c))) )],[refute_0_16662,refute_0_16668]) ).

cnf(refute_0_16670,plain,
    quotient(product(quotient(product(a,b),product(b,c)),c),c) = quotient(product(a,b),product(b,c)),
    inference(subst,[],[sos03:[bind(A,$fot(quotient(product(a,b),product(b,c)))),bind(B,$fot(c))]]) ).

cnf(refute_0_16671,plain,
    difference(bigC(b,b,c),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))) = product(quotient(product(a,b),product(b,c)),c),
    inference(subst,[],[sos01:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(product(quotient(product(a,b),product(b,c)),c)))]]) ).

cnf(refute_0_16672,plain,
    bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(product(product(b,c),quotient(product(a,b),product(b,c))),product(b,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(b,c))),bind(X_22,$fot(quotient(product(a,b),product(b,c))))]]) ).

cnf(refute_0_16673,plain,
    ( bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(product(product(b,c),quotient(product(a,b),product(b,c))),product(b,c))
    | product(product(b,c),quotient(product(a,b),product(b,c))) != difference(product(b,c),product(b,a))
    | bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(difference(product(b,c),product(b,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)),product(product(product(b,c),quotient(product(a,b),product(b,c))),product(b,c))) ),[1,0],$fot(difference(product(b,c),product(b,a)))]]) ).

cnf(refute_0_16674,plain,
    ( bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(product(product(b,c),quotient(product(a,b),product(b,c))),product(b,c))
    | bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(difference(product(b,c),product(b,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(product(a,b),product(b,c))),difference(product(b,c),product(b,a))) )],[refute_0_9938,refute_0_16673]) ).

cnf(refute_0_16675,plain,
    bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(difference(product(b,c),product(b,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)),product(product(product(b,c),quotient(product(a,b),product(b,c))),product(b,c))) )],[refute_0_16672,refute_0_16674]) ).

cnf(refute_0_16676,plain,
    product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) = product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)))]]) ).

cnf(refute_0_16677,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) != product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c))
    | product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) = product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)),product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_16678,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) = product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)),product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c))) )],[refute_0_16676,refute_0_16677]) ).

cnf(refute_0_16679,plain,
    product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) = product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_16678]) ).

cnf(refute_0_16680,plain,
    bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(b)),bind(C,$fot(quotient(product(a,b),product(b,c)))),bind(D,$fot(c))]]) ).

cnf(refute_0_16681,plain,
    ( bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c))
    | product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) != product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))
    | bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)))),bind(Y,$fot(product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)))),bind(Z,$fot(product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))))]]) ).

cnf(refute_0_16682,plain,
    ( product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)) != product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))
    | bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)),product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c))) )],[refute_0_16680,refute_0_16681]) ).

cnf(refute_0_16683,plain,
    bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) = product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(quotient(product(a,b),product(b,c)),c)),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))) )],[refute_0_16679,refute_0_16682]) ).

cnf(refute_0_16684,plain,
    ( bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))
    | bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(difference(product(b,c),product(b,a)),product(b,c))
    | product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) = product(difference(product(b,c),product(b,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)),product(difference(product(b,c),product(b,a)),product(b,c))) ),[0],$fot(product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)))]]) ).

cnf(refute_0_16685,plain,
    ( bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(difference(product(b,c),product(b,a)),product(b,c))
    | product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) = product(difference(product(b,c),product(b,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))) )],[refute_0_16683,refute_0_16684]) ).

cnf(refute_0_16686,plain,
    difference(product(b,c),product(product(b,a),product(b,c))) = difference(product(b,c),product(product(b,a),product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(b,c),product(product(b,a),product(b,c))))]]) ).

cnf(refute_0_16687,plain,
    ( difference(product(b,c),product(product(b,a),product(b,c))) != difference(product(b,c),product(product(b,a),product(b,c)))
    | product(product(b,a),product(b,c)) != product(b,product(a,c))
    | difference(product(b,c),product(product(b,a),product(b,c))) = difference(product(b,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(product(b,a),product(b,c))),difference(product(b,c),product(product(b,a),product(b,c)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_16688,plain,
    ( product(product(b,a),product(b,c)) != product(b,product(a,c))
    | difference(product(b,c),product(product(b,a),product(b,c))) = difference(product(b,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,a),product(b,c))),difference(product(b,c),product(product(b,a),product(b,c)))) )],[refute_0_16686,refute_0_16687]) ).

cnf(refute_0_16689,plain,
    difference(product(b,c),product(product(b,a),product(b,c))) = difference(product(b,c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(b,c)),product(b,product(a,c))) )],[refute_0_3293,refute_0_16688]) ).

cnf(refute_0_16690,plain,
    ( difference(product(b,c),product(b,product(a,c))) != c
    | difference(product(b,c),product(product(b,a),product(b,c))) != difference(product(b,c),product(b,product(a,c)))
    | difference(product(b,c),product(product(b,a),product(b,c))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,c),product(product(b,a),product(b,c))))),bind(Y,$fot(difference(product(b,c),product(b,product(a,c))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_16691,plain,
    ( difference(product(b,c),product(b,product(a,c))) != c
    | difference(product(b,c),product(product(b,a),product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,a),product(b,c))),difference(product(b,c),product(b,product(a,c)))) )],[refute_0_16689,refute_0_16690]) ).

cnf(refute_0_16692,plain,
    difference(product(b,c),product(product(b,a),product(b,c))) = c,
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(a,c))),c) )],[refute_0_13517,refute_0_16691]) ).

cnf(refute_0_16693,plain,
    product(difference(product(b,c),product(b,a)),product(b,c)) = difference(product(b,c),product(product(b,a),product(b,c))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(b,a))),bind(X_74,$fot(product(b,c)))]]) ).

cnf(refute_0_16694,plain,
    ( difference(product(b,c),product(product(b,a),product(b,c))) != c
    | product(difference(product(b,c),product(b,a)),product(b,c)) != difference(product(b,c),product(product(b,a),product(b,c)))
    | product(difference(product(b,c),product(b,a)),product(b,c)) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,c),product(b,a)),product(b,c)))),bind(Y,$fot(difference(product(b,c),product(product(b,a),product(b,c))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_16695,plain,
    ( difference(product(b,c),product(product(b,a),product(b,c))) != c
    | product(difference(product(b,c),product(b,a)),product(b,c)) = c ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,c),product(b,a)),product(b,c)),difference(product(b,c),product(product(b,a),product(b,c)))) )],[refute_0_16693,refute_0_16694]) ).

cnf(refute_0_16696,plain,
    product(difference(product(b,c),product(b,a)),product(b,c)) = c,
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,a),product(b,c))),c) )],[refute_0_16692,refute_0_16695]) ).

cnf(refute_0_16697,plain,
    ( product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) != product(difference(product(b,c),product(b,a)),product(b,c))
    | product(difference(product(b,c),product(b,a)),product(b,c)) != c
    | product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)),c) ),[0],$fot(product(difference(product(b,c),product(b,a)),product(b,c)))]]) ).

cnf(refute_0_16698,plain,
    ( product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) != product(difference(product(b,c),product(b,a)),product(b,c))
    | product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) = c ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,c),product(b,a)),product(b,c)),c) )],[refute_0_16696,refute_0_16697]) ).

cnf(refute_0_16699,plain,
    ( bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)) != product(difference(product(b,c),product(b,a)),product(b,c))
    | product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) = c ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)),product(difference(product(b,c),product(b,a)),product(b,c))) )],[refute_0_16685,refute_0_16698]) ).

cnf(refute_0_16700,plain,
    product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) = c,
    inference(resolve,[$cnf( $equal(bigC(product(b,c),quotient(product(a,b),product(b,c)),product(b,c)),product(difference(product(b,c),product(b,a)),product(b,c))) )],[refute_0_16675,refute_0_16699]) ).

cnf(refute_0_16701,plain,
    ( difference(bigC(b,b,c),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))) != product(quotient(product(a,b),product(b,c)),c)
    | product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)) != c
    | difference(bigC(b,b,c),c) = product(quotient(product(a,b),product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,b,c),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))),product(quotient(product(a,b),product(b,c)),c)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_16702,plain,
    ( difference(bigC(b,b,c),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))) != product(quotient(product(a,b),product(b,c)),c)
    | difference(bigC(b,b,c),c) = product(quotient(product(a,b),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c)),c) )],[refute_0_16700,refute_0_16701]) ).

cnf(refute_0_16703,plain,
    difference(bigC(b,b,c),c) = product(quotient(product(a,b),product(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),product(bigC(b,b,c),product(quotient(product(a,b),product(b,c)),c))),product(quotient(product(a,b),product(b,c)),c)) )],[refute_0_16671,refute_0_16702]) ).

cnf(refute_0_16704,plain,
    ( difference(bigC(b,b,c),c) != product(quotient(product(a,b),product(b,c)),c)
    | product(quotient(product(a,b),product(b,c)),c) = difference(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(bigC(b,b,c),c))),bind(Y,$fot(product(quotient(product(a,b),product(b,c)),c)))]]) ).

cnf(refute_0_16705,plain,
    product(quotient(product(a,b),product(b,c)),c) = difference(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),c),product(quotient(product(a,b),product(b,c)),c)) )],[refute_0_16703,refute_0_16704]) ).

cnf(refute_0_16706,plain,
    ( product(quotient(product(a,b),product(b,c)),c) != difference(bigC(b,b,c),c)
    | quotient(product(quotient(product(a,b),product(b,c)),c),c) != quotient(product(a,b),product(b,c))
    | quotient(difference(bigC(b,b,c),c),c) = quotient(product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(product(a,b),product(b,c)),c),c),quotient(product(a,b),product(b,c))) ),[0,0],$fot(difference(bigC(b,b,c),c))]]) ).

cnf(refute_0_16707,plain,
    ( quotient(product(quotient(product(a,b),product(b,c)),c),c) != quotient(product(a,b),product(b,c))
    | quotient(difference(bigC(b,b,c),c),c) = quotient(product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(b,c)),c),difference(bigC(b,b,c),c)) )],[refute_0_16705,refute_0_16706]) ).

cnf(refute_0_16708,plain,
    quotient(difference(bigC(b,b,c),c),c) = quotient(product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(product(a,b),product(b,c)),c),c),quotient(product(a,b),product(b,c))) )],[refute_0_16670,refute_0_16707]) ).

cnf(refute_0_16709,plain,
    ( difference(product(b,c),product(c,a)) != quotient(product(a,b),product(b,c))
    | quotient(product(a,b),product(b,c)) = difference(product(b,c),product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,c),product(c,a)))),bind(Y,$fot(quotient(product(a,b),product(b,c))))]]) ).

cnf(refute_0_16710,plain,
    quotient(product(a,b),product(b,c)) = difference(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,a)),quotient(product(a,b),product(b,c))) )],[refute_0_16669,refute_0_16709]) ).

cnf(refute_0_16711,plain,
    ( quotient(difference(bigC(b,b,c),c),c) != quotient(product(a,b),product(b,c))
    | quotient(product(a,b),product(b,c)) != difference(product(b,c),product(c,a))
    | quotient(difference(bigC(b,b,c),c),c) = difference(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(quotient(difference(bigC(b,b,c),c),c),difference(product(b,c),product(c,a))) ),[0],$fot(quotient(product(a,b),product(b,c)))]]) ).

cnf(refute_0_16712,plain,
    ( quotient(difference(bigC(b,b,c),c),c) != quotient(product(a,b),product(b,c))
    | quotient(difference(bigC(b,b,c),c),c) = difference(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(b,c)),difference(product(b,c),product(c,a))) )],[refute_0_16710,refute_0_16711]) ).

cnf(refute_0_16713,plain,
    quotient(difference(bigC(b,b,c),c),c) = difference(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),quotient(product(a,b),product(b,c))) )],[refute_0_16708,refute_0_16712]) ).

cnf(refute_0_16714,plain,
    ( difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(c,bigC(a,a,c)) != quotient(product(a,product(c,b)),c)
    | difference(product(c,a),a) = quotient(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,a,c)),quotient(product(a,product(c,b)),c)) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16715,plain,
    ( difference(c,bigC(a,a,c)) != quotient(product(a,product(c,b)),c)
    | difference(product(c,a),a) = quotient(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),difference(product(c,a),a)) )],[refute_0_15441,refute_0_16714]) ).

cnf(refute_0_16716,plain,
    difference(product(c,a),a) = quotient(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),quotient(product(a,product(c,b)),c)) )],[refute_0_15267,refute_0_16715]) ).

cnf(refute_0_16717,plain,
    ( difference(product(c,a),a) != quotient(product(a,product(c,b)),c)
    | quotient(product(a,product(c,b)),c) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(quotient(product(a,product(c,b)),c)))]]) ).

cnf(refute_0_16718,plain,
    quotient(product(a,product(c,b)),c) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),quotient(product(a,product(c,b)),c)) )],[refute_0_16716,refute_0_16717]) ).

cnf(refute_0_16719,plain,
    difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(c,product(c,quotient(quotient(c,difference(product(c,a),a)),c))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(quotient(c,difference(product(c,a),a)))),bind(X_20,$fot(c))]]) ).

cnf(refute_0_16720,plain,
    quotient(quotient(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),c) = difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(quotient(difference(c,product(a,product(c,b))),c)))]]) ).

cnf(refute_0_16721,plain,
    ( product(c,quotient(difference(c,product(a,product(c,b))),c)) != difference(product(c,a),a)
    | quotient(quotient(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),c) != difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))
    | quotient(quotient(c,difference(product(c,a),a)),c) = difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),c),difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))) ),[0,0,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_16722,plain,
    ( quotient(quotient(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),c) != difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))
    | quotient(quotient(c,difference(product(c,a),a)),c) = difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(c,product(a,product(c,b))),c)),difference(product(c,a),a)) )],[refute_0_15446,refute_0_16721]) ).

cnf(refute_0_16723,plain,
    quotient(quotient(c,difference(product(c,a),a)),c) = difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,quotient(difference(c,product(a,product(c,b))),c))),c),difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))) )],[refute_0_16720,refute_0_16722]) ).

cnf(refute_0_16724,plain,
    difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) = difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)))]]) ).

cnf(refute_0_16725,plain,
    ( difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) != difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))
    | product(quotient(difference(c,product(a,product(c,b))),c),c) != difference(c,product(a,product(c,b)))
    | difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) = difference(c,difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)),difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))) ),[1,1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_16726,plain,
    ( product(quotient(difference(c,product(a,product(c,b))),c),c) != difference(c,product(a,product(c,b)))
    | difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) = difference(c,difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)),difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))) )],[refute_0_16724,refute_0_16725]) ).

cnf(refute_0_16727,plain,
    difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) = difference(c,difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(quotient(difference(c,product(a,product(c,b))),c),c),difference(c,product(a,product(c,b)))) )],[refute_0_16648,refute_0_16726]) ).

cnf(refute_0_16728,plain,
    ( difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)) != difference(c,difference(c,product(a,product(c,b))))
    | quotient(quotient(c,difference(product(c,a),a)),c) != difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))
    | quotient(quotient(c,difference(product(c,a),a)),c) = difference(c,difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(product(c,a),a)),c),difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))) ),[1],$fot(difference(c,difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_16729,plain,
    ( quotient(quotient(c,difference(product(c,a),a)),c) != difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))
    | quotient(quotient(c,difference(product(c,a),a)),c) = difference(c,difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c)),difference(c,difference(c,product(a,product(c,b))))) )],[refute_0_16727,refute_0_16728]) ).

cnf(refute_0_16730,plain,
    quotient(quotient(c,difference(product(c,a),a)),c) = difference(c,difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(product(c,a),a)),c),difference(c,product(quotient(difference(c,product(a,product(c,b))),c),c))) )],[refute_0_16723,refute_0_16729]) ).

cnf(refute_0_16731,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != product(c,product(c,quotient(quotient(c,difference(product(c,a),a)),c)))
    | quotient(quotient(c,difference(product(c,a),a)),c) != difference(c,difference(c,product(a,product(c,b))))
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),product(c,product(c,quotient(quotient(c,difference(product(c,a),a)),c)))) ),[1,1,1],$fot(difference(c,difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_16732,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != product(c,product(c,quotient(quotient(c,difference(product(c,a),a)),c)))
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(product(c,a),a)),c),difference(c,difference(c,product(a,product(c,b))))) )],[refute_0_16730,refute_0_16731]) ).

cnf(refute_0_16733,plain,
    difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),product(c,product(c,quotient(quotient(c,difference(product(c,a),a)),c)))) )],[refute_0_16719,refute_0_16732]) ).

cnf(refute_0_16734,plain,
    product(c,difference(c,difference(c,product(a,product(c,b))))) = difference(c,product(a,product(c,b))),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_16735,plain,
    product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))),
    introduced(tautology,[refl,[$fot(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))))]]) ).

cnf(refute_0_16736,plain,
    ( product(c,difference(c,difference(c,product(a,product(c,b))))) != difference(c,product(a,product(c,b)))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) != product(c,product(c,difference(c,difference(c,product(a,product(c,b))))))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(c,difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))),product(c,product(c,difference(c,difference(c,product(a,product(c,b))))))) ),[1,1],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_16737,plain,
    ( product(c,difference(c,difference(c,product(a,product(c,b))))) != difference(c,product(a,product(c,b)))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(c,difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))),product(c,product(c,difference(c,difference(c,product(a,product(c,b))))))) )],[refute_0_16735,refute_0_16736]) ).

cnf(refute_0_16738,plain,
    product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(c,difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(product(c,difference(c,difference(c,product(a,product(c,b))))),difference(c,product(a,product(c,b)))) )],[refute_0_16734,refute_0_16737]) ).

cnf(refute_0_16739,plain,
    ( product(c,difference(c,product(a,product(c,b)))) != product(a,product(c,b))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) != product(c,difference(c,product(a,product(c,b))))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))))),bind(Y,$fot(product(c,difference(c,product(a,product(c,b)))))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_16740,plain,
    ( product(c,difference(c,product(a,product(c,b)))) != product(a,product(c,b))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))),product(c,difference(c,product(a,product(c,b))))) )],[refute_0_16738,refute_0_16739]) ).

cnf(refute_0_16741,plain,
    product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(a,product(c,b)))),product(a,product(c,b))) )],[refute_0_15462,refute_0_16740]) ).

cnf(refute_0_16742,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != product(c,product(c,difference(c,difference(c,product(a,product(c,b))))))
    | product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))) != product(a,product(c,b))
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),product(a,product(c,b))) ),[0],$fot(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))))]]) ).

cnf(refute_0_16743,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != product(c,product(c,difference(c,difference(c,product(a,product(c,b))))))
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(c,difference(c,product(a,product(c,b)))))),product(a,product(c,b))) )],[refute_0_16741,refute_0_16742]) ).

cnf(refute_0_16744,plain,
    difference(product(quotient(c,difference(product(c,a),a)),c),c) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),product(c,product(c,difference(c,difference(c,product(a,product(c,b))))))) )],[refute_0_16733,refute_0_16743]) ).

cnf(refute_0_16745,plain,
    product(difference(c,product(product(a,c),b)),c) = difference(c,product(product(product(a,c),b),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(product(a,c),b))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_16746,plain,
    product(quotient(quotient(c,difference(product(c,a),a)),c),c) = quotient(c,difference(product(c,a),a)),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(c,difference(product(c,a),a)))),bind(B,$fot(c))]]) ).

cnf(refute_0_16747,plain,
    ( product(quotient(quotient(c,difference(product(c,a),a)),c),c) != quotient(c,difference(product(c,a),a))
    | quotient(quotient(c,difference(product(c,a),a)),c) != difference(c,difference(c,product(a,product(c,b))))
    | product(difference(c,difference(c,product(a,product(c,b)))),c) = quotient(c,difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(c,difference(product(c,a),a)),c),c),quotient(c,difference(product(c,a),a))) ),[0,0],$fot(difference(c,difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_16748,plain,
    ( product(quotient(quotient(c,difference(product(c,a),a)),c),c) != quotient(c,difference(product(c,a),a))
    | product(difference(c,difference(c,product(a,product(c,b)))),c) = quotient(c,difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(product(c,a),a)),c),difference(c,difference(c,product(a,product(c,b))))) )],[refute_0_16730,refute_0_16747]) ).

cnf(refute_0_16749,plain,
    product(difference(c,difference(c,product(a,product(c,b)))),c) = quotient(c,difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(c,difference(product(c,a),a)),c),c),quotient(c,difference(product(c,a),a))) )],[refute_0_16746,refute_0_16748]) ).

cnf(refute_0_16750,plain,
    difference(c,product(difference(c,product(a,product(c,b))),c)) = difference(c,product(difference(c,product(a,product(c,b))),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(difference(c,product(a,product(c,b))),c)))]]) ).

cnf(refute_0_16751,plain,
    ( difference(c,product(difference(c,product(a,product(c,b))),c)) != difference(c,product(difference(c,product(a,product(c,b))),c))
    | product(difference(c,product(a,product(c,b))),c) != product(product(a,c),b)
    | difference(c,product(difference(c,product(a,product(c,b))),c)) = difference(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(difference(c,product(a,product(c,b))),c)),difference(c,product(difference(c,product(a,product(c,b))),c))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_16752,plain,
    ( product(difference(c,product(a,product(c,b))),c) != product(product(a,c),b)
    | difference(c,product(difference(c,product(a,product(c,b))),c)) = difference(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(c,product(difference(c,product(a,product(c,b))),c)),difference(c,product(difference(c,product(a,product(c,b))),c))) )],[refute_0_16750,refute_0_16751]) ).

cnf(refute_0_16753,plain,
    difference(c,product(difference(c,product(a,product(c,b))),c)) = difference(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),c),product(product(a,c),b)) )],[refute_0_15848,refute_0_16752]) ).

cnf(refute_0_16754,plain,
    product(difference(c,difference(c,product(a,product(c,b)))),c) = difference(c,product(difference(c,product(a,product(c,b))),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(difference(c,product(a,product(c,b))))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_16755,plain,
    ( difference(c,product(difference(c,product(a,product(c,b))),c)) != difference(c,product(product(a,c),b))
    | product(difference(c,difference(c,product(a,product(c,b)))),c) != difference(c,product(difference(c,product(a,product(c,b))),c))
    | product(difference(c,difference(c,product(a,product(c,b)))),c) = difference(c,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,difference(c,product(a,product(c,b)))),c))),bind(Y,$fot(difference(c,product(difference(c,product(a,product(c,b))),c)))),bind(Z,$fot(difference(c,product(product(a,c),b))))]]) ).

cnf(refute_0_16756,plain,
    ( difference(c,product(difference(c,product(a,product(c,b))),c)) != difference(c,product(product(a,c),b))
    | product(difference(c,difference(c,product(a,product(c,b)))),c) = difference(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(c,product(a,product(c,b)))),c),difference(c,product(difference(c,product(a,product(c,b))),c))) )],[refute_0_16754,refute_0_16755]) ).

cnf(refute_0_16757,plain,
    product(difference(c,difference(c,product(a,product(c,b)))),c) = difference(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(c,product(difference(c,product(a,product(c,b))),c)),difference(c,product(product(a,c),b))) )],[refute_0_16753,refute_0_16756]) ).

cnf(refute_0_16758,plain,
    ( product(difference(c,difference(c,product(a,product(c,b)))),c) != difference(c,product(product(a,c),b))
    | product(difference(c,difference(c,product(a,product(c,b)))),c) != quotient(c,difference(product(c,a),a))
    | difference(c,product(product(a,c),b)) = quotient(c,difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,difference(c,product(a,product(c,b)))),c),quotient(c,difference(product(c,a),a))) ),[0],$fot(difference(c,product(product(a,c),b)))]]) ).

cnf(refute_0_16759,plain,
    ( product(difference(c,difference(c,product(a,product(c,b)))),c) != quotient(c,difference(product(c,a),a))
    | difference(c,product(product(a,c),b)) = quotient(c,difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(c,product(a,product(c,b)))),c),difference(c,product(product(a,c),b))) )],[refute_0_16757,refute_0_16758]) ).

cnf(refute_0_16760,plain,
    difference(c,product(product(a,c),b)) = quotient(c,difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(c,product(a,product(c,b)))),c),quotient(c,difference(product(c,a),a))) )],[refute_0_16749,refute_0_16759]) ).

cnf(refute_0_16761,plain,
    ( difference(c,product(product(a,c),b)) != quotient(c,difference(product(c,a),a))
    | quotient(c,difference(product(c,a),a)) = difference(c,product(product(a,c),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(product(a,c),b)))),bind(Y,$fot(quotient(c,difference(product(c,a),a))))]]) ).

cnf(refute_0_16762,plain,
    quotient(c,difference(product(c,a),a)) = difference(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(c,product(product(a,c),b)),quotient(c,difference(product(c,a),a))) )],[refute_0_16760,refute_0_16761]) ).

cnf(refute_0_16763,plain,
    product(quotient(c,difference(product(c,a),a)),c) = product(quotient(c,difference(product(c,a),a)),c),
    introduced(tautology,[refl,[$fot(product(quotient(c,difference(product(c,a),a)),c))]]) ).

cnf(refute_0_16764,plain,
    ( product(quotient(c,difference(product(c,a),a)),c) != product(quotient(c,difference(product(c,a),a)),c)
    | quotient(c,difference(product(c,a),a)) != difference(c,product(product(a,c),b))
    | product(quotient(c,difference(product(c,a),a)),c) = product(difference(c,product(product(a,c),b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,difference(product(c,a),a)),c),product(quotient(c,difference(product(c,a),a)),c)) ),[1,0],$fot(difference(c,product(product(a,c),b)))]]) ).

cnf(refute_0_16765,plain,
    ( quotient(c,difference(product(c,a),a)) != difference(c,product(product(a,c),b))
    | product(quotient(c,difference(product(c,a),a)),c) = product(difference(c,product(product(a,c),b)),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,difference(product(c,a),a)),c),product(quotient(c,difference(product(c,a),a)),c)) )],[refute_0_16763,refute_0_16764]) ).

cnf(refute_0_16766,plain,
    product(quotient(c,difference(product(c,a),a)),c) = product(difference(c,product(product(a,c),b)),c),
    inference(resolve,[$cnf( $equal(quotient(c,difference(product(c,a),a)),difference(c,product(product(a,c),b))) )],[refute_0_16762,refute_0_16765]) ).

cnf(refute_0_16767,plain,
    ( product(difference(c,product(product(a,c),b)),c) != difference(c,product(product(product(a,c),b),c))
    | product(quotient(c,difference(product(c,a),a)),c) != product(difference(c,product(product(a,c),b)),c)
    | product(quotient(c,difference(product(c,a),a)),c) = difference(c,product(product(product(a,c),b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(c,difference(product(c,a),a)),c))),bind(Y,$fot(product(difference(c,product(product(a,c),b)),c))),bind(Z,$fot(difference(c,product(product(product(a,c),b),c))))]]) ).

cnf(refute_0_16768,plain,
    ( product(difference(c,product(product(a,c),b)),c) != difference(c,product(product(product(a,c),b),c))
    | product(quotient(c,difference(product(c,a),a)),c) = difference(c,product(product(product(a,c),b),c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,difference(product(c,a),a)),c),product(difference(c,product(product(a,c),b)),c)) )],[refute_0_16766,refute_0_16767]) ).

cnf(refute_0_16769,plain,
    product(quotient(c,difference(product(c,a),a)),c) = difference(c,product(product(product(a,c),b),c)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(product(a,c),b)),c),difference(c,product(product(product(a,c),b),c))) )],[refute_0_16745,refute_0_16768]) ).

cnf(refute_0_16770,plain,
    difference(product(quotient(c,difference(product(c,a),a)),c),c) = difference(product(quotient(c,difference(product(c,a),a)),c),c),
    introduced(tautology,[refl,[$fot(difference(product(quotient(c,difference(product(c,a),a)),c),c))]]) ).

cnf(refute_0_16771,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != difference(product(quotient(c,difference(product(c,a),a)),c),c)
    | product(quotient(c,difference(product(c,a),a)),c) != difference(c,product(product(product(a,c),b),c))
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) = difference(difference(c,product(product(product(a,c),b),c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),difference(product(quotient(c,difference(product(c,a),a)),c),c)) ),[1,0],$fot(difference(c,product(product(product(a,c),b),c)))]]) ).

cnf(refute_0_16772,plain,
    ( product(quotient(c,difference(product(c,a),a)),c) != difference(c,product(product(product(a,c),b),c))
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) = difference(difference(c,product(product(product(a,c),b),c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),difference(product(quotient(c,difference(product(c,a),a)),c),c)) )],[refute_0_16770,refute_0_16771]) ).

cnf(refute_0_16773,plain,
    difference(product(quotient(c,difference(product(c,a),a)),c),c) = difference(difference(c,product(product(product(a,c),b),c)),c),
    inference(resolve,[$cnf( $equal(product(quotient(c,difference(product(c,a),a)),c),difference(c,product(product(product(a,c),b),c))) )],[refute_0_16769,refute_0_16772]) ).

cnf(refute_0_16774,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != difference(difference(c,product(product(product(a,c),b),c)),c)
    | difference(product(quotient(c,difference(product(c,a),a)),c),c) != product(a,product(c,b))
    | difference(difference(c,product(product(product(a,c),b),c)),c) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),product(a,product(c,b))) ),[0],$fot(difference(difference(c,product(product(product(a,c),b),c)),c))]]) ).

cnf(refute_0_16775,plain,
    ( difference(product(quotient(c,difference(product(c,a),a)),c),c) != product(a,product(c,b))
    | difference(difference(c,product(product(product(a,c),b),c)),c) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),difference(difference(c,product(product(product(a,c),b),c)),c)) )],[refute_0_16773,refute_0_16774]) ).

cnf(refute_0_16776,plain,
    difference(difference(c,product(product(product(a,c),b),c)),c) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,difference(product(c,a),a)),c),c),product(a,product(c,b))) )],[refute_0_16744,refute_0_16775]) ).

cnf(refute_0_16777,plain,
    difference(c,product(c,bigC(b,b,c))) = bigC(b,b,c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_16778,plain,
    product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))) = product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))),
    inference(subst,[],[sos05:[bind(A,$fot(product(a,b))),bind(B,$fot(product(c,b))),bind(C,$fot(X_23)),bind(D,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_16779,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c)))
    | product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))) != product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))) ),[0],$fot(product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))))]]) ).

cnf(refute_0_16780,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c)))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c))),product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))) )],[refute_0_16778,refute_0_16779]) ).

cnf(refute_0_16781,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(a,b),product(c,b)),product(X_23,product(product(a,c),c)))) )],[refute_0_9237,refute_0_16780]) ).

cnf(refute_0_16782,plain,
    product(product(c,b),product(product(a,c),c)) = bigC(c,b,product(a,c)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_16783,plain,
    product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) = product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))))]]) ).

cnf(refute_0_16784,plain,
    ( product(product(c,b),product(product(a,c),c)) != bigC(c,b,product(a,c))
    | product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) != product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))
    | product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))),product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))) ),[1,1],$fot(bigC(c,b,product(a,c)))]]) ).

cnf(refute_0_16785,plain,
    ( product(product(c,b),product(product(a,c),c)) != bigC(c,b,product(a,c))
    | product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))),product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))) )],[refute_0_16783,refute_0_16784]) ).

cnf(refute_0_16786,plain,
    product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(a,c),c)),bigC(c,b,product(a,c))) )],[refute_0_16782,refute_0_16785]) ).

cnf(refute_0_16787,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))
    | product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))) != product(product(product(a,b),X_23),bigC(c,b,product(a,c)))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) ),[0],$fot(product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))))]]) ).

cnf(refute_0_16788,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c))),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) )],[refute_0_16786,refute_0_16787]) ).

cnf(refute_0_16789,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(a,b),X_23),product(product(c,b),product(product(a,c),c)))) )],[refute_0_16781,refute_0_16788]) ).

cnf(refute_0_16790,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),X_23) = bigC(product(product(a,c),c),product(product(c,b),b),X_23),
    introduced(tautology,[refl,[$fot(bigC(product(product(a,c),c),product(product(c,b),b),X_23))]]) ).

cnf(refute_0_16791,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != bigC(product(product(a,c),c),product(product(c,b),b),X_23)
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = bigC(product(a,product(b,c)),product(product(c,b),b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),bigC(product(product(a,c),c),product(product(c,b),b),X_23)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_16792,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) = bigC(product(a,product(b,c)),product(product(c,b),b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),bigC(product(product(a,c),c),product(product(c,b),b),X_23)) )],[refute_0_16790,refute_0_16791]) ).

cnf(refute_0_16793,plain,
    bigC(product(product(a,c),c),product(product(c,b),b),X_23) = bigC(product(a,product(b,c)),product(product(c,b),b),X_23),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_16792]) ).

cnf(refute_0_16794,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != bigC(product(a,product(b,c)),product(product(c,b),b),X_23)
    | bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),bigC(c,b,product(a,c)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) ),[0],$fot(bigC(product(a,product(b,c)),product(product(c,b),b),X_23))]]) ).

cnf(refute_0_16795,plain,
    ( bigC(product(product(a,c),c),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),bigC(c,b,product(a,c)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),bigC(product(a,product(b,c)),product(product(c,b),b),X_23)) )],[refute_0_16793,refute_0_16794]) ).

cnf(refute_0_16796,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),product(product(c,b),b),X_23),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) )],[refute_0_16789,refute_0_16795]) ).

cnf(refute_0_16797,plain,
    product(product(product(a,b),X_23),bigC(c,b,product(a,c))) = product(product(product(a,b),X_23),bigC(c,b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),X_23),bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_16798,plain,
    ( bigC(c,b,product(a,c)) != bigC(a,b,product(c,b))
    | product(product(product(a,b),X_23),bigC(c,b,product(a,c))) != product(product(product(a,b),X_23),bigC(c,b,product(a,c)))
    | product(product(product(a,b),X_23),bigC(c,b,product(a,c))) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),X_23),bigC(c,b,product(a,c))),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) ),[1,1],$fot(bigC(a,b,product(c,b)))]]) ).

cnf(refute_0_16799,plain,
    ( bigC(c,b,product(a,c)) != bigC(a,b,product(c,b))
    | product(product(product(a,b),X_23),bigC(c,b,product(a,c))) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),bigC(c,b,product(a,c))),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) )],[refute_0_16797,refute_0_16798]) ).

cnf(refute_0_16800,plain,
    product(product(product(a,b),X_23),bigC(c,b,product(a,c))) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,c)),bigC(a,b,product(c,b))) )],[refute_0_14887,refute_0_16799]) ).

cnf(refute_0_16801,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),bigC(c,b,product(a,c)))
    | product(product(product(a,b),X_23),bigC(c,b,product(a,c))) != product(product(product(a,b),X_23),bigC(a,b,product(c,b)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,product(b,c)),product(product(c,b),b),X_23),product(product(product(a,b),X_23),bigC(a,b,product(c,b)))) ),[0],$fot(product(product(product(a,b),X_23),bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_16802,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),bigC(c,b,product(a,c)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),bigC(c,b,product(a,c))),product(product(product(a,b),X_23),bigC(a,b,product(c,b)))) )],[refute_0_16800,refute_0_16801]) ).

cnf(refute_0_16803,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),X_23),product(product(product(a,b),X_23),bigC(c,b,product(a,c)))) )],[refute_0_16796,refute_0_16802]) ).

cnf(refute_0_16804,plain,
    product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,a,b)))),
    inference(subst,[],[sos05:[bind(B,$fot(product(c,b))),bind(D,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_16805,plain,
    difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),quotient(product(product(c,a),b),product(c,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(product(c,a),b))),bind(X_20,$fot(product(c,b)))]]) ).

cnf(refute_0_16806,plain,
    quotient(product(product(c,a),b),difference(bigC(c,a,b),product(product(c,a),b))) = bigC(c,a,b),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(product(c,a),b))),bind(X_6,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_16807,plain,
    ( difference(bigC(c,a,b),product(product(c,a),b)) != product(c,b)
    | quotient(product(product(c,a),b),difference(bigC(c,a,b),product(product(c,a),b))) != bigC(c,a,b)
    | quotient(product(product(c,a),b),product(c,b)) = bigC(c,a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),difference(bigC(c,a,b),product(product(c,a),b))),bigC(c,a,b)) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_16808,plain,
    ( quotient(product(product(c,a),b),difference(bigC(c,a,b),product(product(c,a),b))) != bigC(c,a,b)
    | quotient(product(product(c,a),b),product(c,b)) = bigC(c,a,b) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,a,b),product(product(c,a),b)),product(c,b)) )],[refute_0_991,refute_0_16807]) ).

cnf(refute_0_16809,plain,
    quotient(product(product(c,a),b),product(c,b)) = bigC(c,a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),difference(bigC(c,a,b),product(product(c,a),b))),bigC(c,a,b)) )],[refute_0_16806,refute_0_16808]) ).

cnf(refute_0_16810,plain,
    ( difference(product(product(product(c,a),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(product(product(c,a),b),product(c,b))))
    | quotient(product(product(c,a),b),product(c,b)) != bigC(c,a,b)
    | difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(product(product(c,a),b),product(c,b))))) ),[1,1,1],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_16811,plain,
    ( difference(product(product(product(c,a),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(product(product(c,a),b),product(c,b))))
    | difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(c,b)),bigC(c,a,b)) )],[refute_0_16809,refute_0_16810]) ).

cnf(refute_0_16812,plain,
    difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(product(product(c,a),b),product(c,b))))) )],[refute_0_16805,refute_0_16811]) ).

cnf(refute_0_16813,plain,
    product(product(c,a),c) = bigC(c,a,c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(a))]]) ).

cnf(refute_0_16814,plain,
    product(product(product(c,a),c),b) = product(product(product(c,a),c),b),
    introduced(tautology,[refl,[$fot(product(product(product(c,a),c),b))]]) ).

cnf(refute_0_16815,plain,
    ( product(product(c,a),c) != bigC(c,a,c)
    | product(product(product(c,a),c),b) != product(product(product(c,a),c),b)
    | product(product(product(c,a),c),b) = product(bigC(c,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,a),c),b),product(product(product(c,a),c),b)) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_16816,plain,
    ( product(product(c,a),c) != bigC(c,a,c)
    | product(product(product(c,a),c),b) = product(bigC(c,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),c),b),product(product(product(c,a),c),b)) )],[refute_0_16814,refute_0_16815]) ).

cnf(refute_0_16817,plain,
    product(product(product(c,a),c),b) = product(bigC(c,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(c,a),c),bigC(c,a,c)) )],[refute_0_16813,refute_0_16816]) ).

cnf(refute_0_16818,plain,
    product(product(product(c,a),b),product(c,b)) = product(product(product(c,a),c),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(c,a))),bind(X_64,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_16819,plain,
    ( product(product(product(c,a),b),product(c,b)) != product(product(product(c,a),c),b)
    | product(product(product(c,a),c),b) != product(bigC(c,a,c),b)
    | product(product(product(c,a),b),product(c,b)) = product(bigC(c,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,a),b),product(c,b)))),bind(Y,$fot(product(product(product(c,a),c),b))),bind(Z,$fot(product(bigC(c,a,c),b)))]]) ).

cnf(refute_0_16820,plain,
    ( product(product(product(c,a),c),b) != product(bigC(c,a,c),b)
    | product(product(product(c,a),b),product(c,b)) = product(bigC(c,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(c,b)),product(product(product(c,a),c),b)) )],[refute_0_16818,refute_0_16819]) ).

cnf(refute_0_16821,plain,
    product(product(product(c,a),b),product(c,b)) = product(bigC(c,a,c),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),c),b),product(bigC(c,a,c),b)) )],[refute_0_16817,refute_0_16820]) ).

cnf(refute_0_16822,plain,
    difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = difference(product(product(product(c,a),b),product(c,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(c,a),b),product(c,b)),product(c,b)))]]) ).

cnf(refute_0_16823,plain,
    ( difference(product(product(product(c,a),b),product(c,b)),product(c,b)) != difference(product(product(product(c,a),b),product(c,b)),product(c,b))
    | product(product(product(c,a),b),product(c,b)) != product(bigC(c,a,c),b)
    | difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = difference(product(bigC(c,a,c),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),difference(product(product(product(c,a),b),product(c,b)),product(c,b))) ),[1,0],$fot(product(bigC(c,a,c),b))]]) ).

cnf(refute_0_16824,plain,
    ( product(product(product(c,a),b),product(c,b)) != product(bigC(c,a,c),b)
    | difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = difference(product(bigC(c,a,c),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),difference(product(product(product(c,a),b),product(c,b)),product(c,b))) )],[refute_0_16822,refute_0_16823]) ).

cnf(refute_0_16825,plain,
    difference(product(product(product(c,a),b),product(c,b)),product(c,b)) = difference(product(bigC(c,a,c),b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(c,b)),product(bigC(c,a,c),b)) )],[refute_0_16821,refute_0_16824]) ).

cnf(refute_0_16826,plain,
    ( difference(product(product(product(c,a),b),product(c,b)),product(c,b)) != difference(product(bigC(c,a,c),b),product(c,b))
    | difference(product(product(product(c,a),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | difference(product(bigC(c,a,c),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,a,b)))) ),[0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_16827,plain,
    ( difference(product(product(product(c,a),b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | difference(product(bigC(c,a,c),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),difference(product(bigC(c,a,c),b),product(c,b))) )],[refute_0_16825,refute_0_16826]) ).

cnf(refute_0_16828,plain,
    difference(product(bigC(c,a,c),b),product(c,b)) = product(product(c,b),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_16812,refute_0_16827]) ).

cnf(refute_0_16829,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) = difference(product(bigC(c,a,c),b),product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(bigC(c,a,c),b),product(c,b)))),bind(Y,$fot(product(product(c,b),product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_16830,plain,
    product(product(c,b),product(product(c,b),bigC(c,a,b))) = difference(product(bigC(c,a,c),b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_16828,refute_0_16829]) ).

cnf(refute_0_16831,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,a,b))))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) != difference(product(bigC(c,a,c),b),product(c,b))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,a,b))))) ),[1,1],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_16832,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,a,b))))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,a,b))),difference(product(bigC(c,a,c),b),product(c,b))) )],[refute_0_16830,refute_0_16831]) ).

cnf(refute_0_16833,plain,
    product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,C),product(product(c,b),product(product(c,b),bigC(c,a,b))))) )],[refute_0_16804,refute_0_16832]) ).

cnf(refute_0_16834,plain,
    product(C,product(product(c,b),bigC(c,a,b))) = product(C,product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(C,product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_16835,plain,
    ( product(C,product(product(c,b),bigC(c,a,b))) != product(C,product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(C,product(product(c,b),bigC(c,a,b))) = product(C,bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(product(c,b),bigC(c,a,b))),product(C,product(product(c,b),bigC(c,a,b)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_16836,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(C,product(product(c,b),bigC(c,a,b))) = product(C,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(C,product(product(c,b),bigC(c,a,b))),product(C,product(product(c,b),bigC(c,a,b)))) )],[refute_0_16834,refute_0_16835]) ).

cnf(refute_0_16837,plain,
    product(C,product(product(c,b),bigC(c,a,b))) = product(C,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_16836]) ).

cnf(refute_0_16838,plain,
    product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))))]]) ).

cnf(refute_0_16839,plain,
    ( product(C,product(product(c,b),bigC(c,a,b))) != product(C,bigC(c,b,c))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b))))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,product(c,b)),product(C,bigC(c,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b))))) ),[1,1],$fot(product(C,bigC(c,b,c)))]]) ).

cnf(refute_0_16840,plain,
    ( product(C,product(product(c,b),bigC(c,a,b))) != product(C,bigC(c,b,c))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,product(c,b)),product(C,bigC(c,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b))))) )],[refute_0_16838,refute_0_16839]) ).

cnf(refute_0_16841,plain,
    product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) = product(product(A,product(c,b)),product(C,bigC(c,b,c))),
    inference(resolve,[$cnf( $equal(product(C,product(product(c,b),bigC(c,a,b))),product(C,bigC(c,b,c))) )],[refute_0_16837,refute_0_16840]) ).

cnf(refute_0_16842,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,product(c,b)),product(C,bigC(c,b,c)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))) ),[0],$fot(product(product(A,product(c,b)),product(C,bigC(c,b,c))))]]) ).

cnf(refute_0_16843,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,product(c,b)),product(C,bigC(c,b,c)))) )],[refute_0_16841,refute_0_16842]) ).

cnf(refute_0_16844,plain,
    product(product(c,b),bigC(c,b,c)) = bigC(c,b,product(c,b)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_80,$fot(b))]]) ).

cnf(refute_0_16845,plain,
    product(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,b),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_16846,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,b),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),product(product(c,b),bigC(c,a,b)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_16847,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,b),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_16845,refute_0_16846]) ).

cnf(refute_0_16848,plain,
    product(product(c,b),product(product(c,b),bigC(c,a,b))) = product(product(c,b),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_16847]) ).

cnf(refute_0_16849,plain,
    ( product(product(c,b),bigC(c,b,c)) != bigC(c,b,product(c,b))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) != product(product(c,b),bigC(c,b,c))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(c,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(product(product(c,b),bigC(c,b,c)))),bind(Z,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_16850,plain,
    ( product(product(c,b),bigC(c,b,c)) != bigC(c,b,product(c,b))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(c,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,b,c))) )],[refute_0_16848,refute_0_16849]) ).

cnf(refute_0_16851,plain,
    product(product(c,b),product(product(c,b),bigC(c,a,b))) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,c)),bigC(c,b,product(c,b))) )],[refute_0_16844,refute_0_16850]) ).

cnf(refute_0_16852,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),product(product(c,b),bigC(c,a,b))) != bigC(c,b,product(c,b))
    | difference(product(bigC(c,a,c),b),product(c,b)) = bigC(c,b,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(c,a,c),b),product(c,b)),bigC(c,b,product(c,b))) ),[0],$fot(product(product(c,b),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_16853,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != product(product(c,b),product(product(c,b),bigC(c,a,b)))
    | difference(product(bigC(c,a,c),b),product(c,b)) = bigC(c,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,a,b))),bigC(c,b,product(c,b))) )],[refute_0_16851,refute_0_16852]) ).

cnf(refute_0_16854,plain,
    difference(product(bigC(c,a,c),b),product(c,b)) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),product(product(c,b),bigC(c,a,b)))) )],[refute_0_16828,refute_0_16853]) ).

cnf(refute_0_16855,plain,
    product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))))]]) ).

cnf(refute_0_16856,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) != product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))),product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))) ),[1,1],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_16857,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))),product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))) )],[refute_0_16855,refute_0_16856]) ).

cnf(refute_0_16858,plain,
    product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),b),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_16854,refute_0_16857]) ).

cnf(refute_0_16859,plain,
    ( product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) != product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))) ),[1],$fot(product(product(A,C),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_16860,plain,
    ( product(product(A,product(c,b)),product(C,bigC(c,b,c))) != product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) )],[refute_0_16858,refute_0_16859]) ).

cnf(refute_0_16861,plain,
    ( product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))) != product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))) )],[refute_0_16843,refute_0_16860]) ).

cnf(refute_0_16862,plain,
    product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,C),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,product(product(c,b),bigC(c,a,b)))),product(product(A,C),difference(product(bigC(c,a,c),b),product(c,b)))) )],[refute_0_16833,refute_0_16861]) ).

cnf(refute_0_16863,plain,
    product(C,bigC(c,b,c)) = product(C,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(C,bigC(c,b,c)))]]) ).

cnf(refute_0_16864,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(C,bigC(c,b,c)) != product(C,bigC(c,b,c))
    | product(C,bigC(c,b,c)) = product(C,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(c,b,c)),product(C,bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_16865,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(C,bigC(c,b,c)) = product(C,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,b,c)),product(C,bigC(c,b,c))) )],[refute_0_16863,refute_0_16864]) ).

cnf(refute_0_16866,plain,
    product(C,bigC(c,b,c)) = product(C,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_16865]) ).

cnf(refute_0_16867,plain,
    product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,product(c,b)),product(C,bigC(c,b,c))),
    introduced(tautology,[refl,[$fot(product(product(A,product(c,b)),product(C,bigC(c,b,c))))]]) ).

cnf(refute_0_16868,plain,
    ( product(C,bigC(c,b,c)) != product(C,bigC(b,a,b))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) != product(product(A,product(c,b)),product(C,bigC(c,b,c)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,product(c,b)),product(C,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,product(c,b)),product(C,bigC(c,b,c)))) ),[1,1],$fot(product(C,bigC(b,a,b)))]]) ).

cnf(refute_0_16869,plain,
    ( product(C,bigC(c,b,c)) != product(C,bigC(b,a,b))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,product(c,b)),product(C,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,product(c,b)),product(C,bigC(c,b,c)))) )],[refute_0_16867,refute_0_16868]) ).

cnf(refute_0_16870,plain,
    product(product(A,product(c,b)),product(C,bigC(c,b,c))) = product(product(A,product(c,b)),product(C,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(C,bigC(c,b,c)),product(C,bigC(b,a,b))) )],[refute_0_16866,refute_0_16869]) ).

cnf(refute_0_16871,plain,
    ( product(product(A,product(c,b)),product(C,bigC(c,b,c))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(c,b,c))) != product(product(A,product(c,b)),product(C,bigC(b,a,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,C),bigC(c,b,product(c,b)))) ),[0],$fot(product(product(A,product(c,b)),product(C,bigC(b,a,b))))]]) ).

cnf(refute_0_16872,plain,
    ( product(product(A,product(c,b)),product(C,bigC(c,b,c))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,product(c,b)),product(C,bigC(b,a,b)))) )],[refute_0_16870,refute_0_16871]) ).

cnf(refute_0_16873,plain,
    product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(c,b,c))),product(product(A,C),bigC(c,b,product(c,b)))) )],[refute_0_16862,refute_0_16872]) ).

cnf(refute_0_16874,plain,
    product(product(A,C),bigC(c,b,product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_16875,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | product(product(A,C),bigC(c,b,product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,C),bigC(c,b,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),bigC(c,b,product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) ),[1,1],$fot(bigC(b,c,product(c,b)))]]) ).

cnf(refute_0_16876,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | product(product(A,C),bigC(c,b,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(c,b,product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) )],[refute_0_16874,refute_0_16875]) ).

cnf(refute_0_16877,plain,
    product(product(A,C),bigC(c,b,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_10443,refute_0_16876]) ).

cnf(refute_0_16878,plain,
    ( product(product(A,C),bigC(c,b,product(c,b))) != product(product(A,C),bigC(b,c,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,C),bigC(c,b,product(c,b)))) ),[1],$fot(product(product(A,C),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_16879,plain,
    ( product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(c,b,product(c,b))),product(product(A,C),bigC(b,c,product(c,b)))) )],[refute_0_16877,refute_0_16878]) ).

cnf(refute_0_16880,plain,
    product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,C),bigC(c,b,product(c,b)))) )],[refute_0_16873,refute_0_16879]) ).

cnf(refute_0_16881,plain,
    difference(product(product(product(a,b),c),product(c,b)),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))) = product(product(product(c,b),b),product(product(c,a),b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(product(a,b),c),product(c,b)))),bind(B,$fot(product(product(product(c,b),b),product(product(c,a),b))))]]) ).

cnf(refute_0_16882,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))) != product(product(product(c,b),b),product(product(c,a),b))
    | product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) != product(c,b)
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = product(product(product(c,b),b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))),product(product(product(c,b),b),product(product(c,a),b))) ),[0,1],$fot(product(c,b))]]) ).

cnf(refute_0_16883,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))) != product(product(product(c,b),b),product(product(c,a),b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = product(product(product(c,b),b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))),product(c,b)) )],[refute_0_1410,refute_0_16882]) ).

cnf(refute_0_16884,plain,
    difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = product(product(product(c,b),b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(product(product(product(a,b),c),product(c,b)),product(product(product(c,b),b),product(product(c,a),b)))),product(product(product(c,b),b),product(product(c,a),b))) )],[refute_0_16881,refute_0_16883]) ).

cnf(refute_0_16885,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != product(product(product(c,b),b),product(product(c,a),b))
    | product(product(product(c,b),b),product(product(c,a),b)) != product(product(c,product(b,a)),b)
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = product(product(c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),product(product(c,product(b,a)),b)) ),[0],$fot(product(product(product(c,b),b),product(product(c,a),b)))]]) ).

cnf(refute_0_16886,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != product(product(product(c,b),b),product(product(c,a),b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = product(product(c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(product(c,a),b)),product(product(c,product(b,a)),b)) )],[refute_0_1419,refute_0_16885]) ).

cnf(refute_0_16887,plain,
    difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = product(product(c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),product(product(product(c,b),b),product(product(c,a),b))) )],[refute_0_16884,refute_0_16886]) ).

cnf(refute_0_16888,plain,
    difference(product(c,product(product(c,b),b)),product(c,b)) = bigC(c,b,product(c,b)),
    inference(subst,[],[refute_0_2409:[bind(X_50,$fot(c)),bind(X_51,$fot(b))]]) ).

cnf(refute_0_16889,plain,
    difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = difference(product(product(product(a,b),c),product(c,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,b),c),product(c,b)),product(c,b)))]]) ).

cnf(refute_0_16890,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != difference(product(product(product(a,b),c),product(c,b)),product(c,b))
    | product(product(product(a,b),c),product(c,b)) != product(c,product(product(c,b),b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = difference(product(c,product(product(c,b),b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),difference(product(product(product(a,b),c),product(c,b)),product(c,b))) ),[1,0],$fot(product(c,product(product(c,b),b)))]]) ).

cnf(refute_0_16891,plain,
    ( product(product(product(a,b),c),product(c,b)) != product(c,product(product(c,b),b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = difference(product(c,product(product(c,b),b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),difference(product(product(product(a,b),c),product(c,b)),product(c,b))) )],[refute_0_16889,refute_0_16890]) ).

cnf(refute_0_16892,plain,
    difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = difference(product(c,product(product(c,b),b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(c,b)),product(c,product(product(c,b),b))) )],[refute_0_1466,refute_0_16891]) ).

cnf(refute_0_16893,plain,
    ( difference(product(c,product(product(c,b),b)),product(c,b)) != bigC(c,b,product(c,b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != difference(product(c,product(product(c,b),b)),product(c,b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = bigC(c,b,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(a,b),c),product(c,b)),product(c,b)))),bind(Y,$fot(difference(product(c,product(product(c,b),b)),product(c,b)))),bind(Z,$fot(bigC(c,b,product(c,b))))]]) ).

cnf(refute_0_16894,plain,
    ( difference(product(c,product(product(c,b),b)),product(c,b)) != bigC(c,b,product(c,b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = bigC(c,b,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),difference(product(c,product(product(c,b),b)),product(c,b))) )],[refute_0_16892,refute_0_16893]) ).

cnf(refute_0_16895,plain,
    difference(product(product(product(a,b),c),product(c,b)),product(c,b)) = bigC(c,b,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(c,b),b)),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_16888,refute_0_16894]) ).

cnf(refute_0_16896,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != bigC(c,b,product(c,b))
    | difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != product(product(c,product(b,a)),b)
    | bigC(c,b,product(c,b)) = product(product(c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),product(product(c,product(b,a)),b)) ),[0],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_16897,plain,
    ( difference(product(product(product(a,b),c),product(c,b)),product(c,b)) != product(product(c,product(b,a)),b)
    | bigC(c,b,product(c,b)) = product(product(c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_16895,refute_0_16896]) ).

cnf(refute_0_16898,plain,
    bigC(c,b,product(c,b)) = product(product(c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(c,b)),product(c,b)),product(product(c,product(b,a)),b)) )],[refute_0_16887,refute_0_16897]) ).

cnf(refute_0_16899,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | bigC(c,b,product(c,b)) != product(product(c,product(b,a)),b)
    | bigC(b,c,product(c,b)) = product(product(c,product(b,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,product(c,b)),product(product(c,product(b,a)),b)) ),[0],$fot(bigC(b,c,product(c,b)))]]) ).

cnf(refute_0_16900,plain,
    ( bigC(c,b,product(c,b)) != product(product(c,product(b,a)),b)
    | bigC(b,c,product(c,b)) = product(product(c,product(b,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_10443,refute_0_16899]) ).

cnf(refute_0_16901,plain,
    bigC(b,c,product(c,b)) = product(product(c,product(b,a)),b),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),product(product(c,product(b,a)),b)) )],[refute_0_16898,refute_0_16900]) ).

cnf(refute_0_16902,plain,
    bigC(b,product(a,c),b) = bigC(b,b,product(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_16903,plain,
    product(product(b,product(a,c)),b) = bigC(b,product(a,c),b),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(b)),bind(X_22,$fot(product(a,c)))]]) ).

cnf(refute_0_16904,plain,
    ( bigC(b,product(a,c),b) != bigC(b,b,product(a,c))
    | product(product(b,product(a,c)),b) != bigC(b,product(a,c),b)
    | product(product(b,product(a,c)),b) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),b))),bind(Y,$fot(bigC(b,product(a,c),b))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_16905,plain,
    ( bigC(b,product(a,c),b) != bigC(b,b,product(a,c))
    | product(product(b,product(a,c)),b) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),b),bigC(b,product(a,c),b)) )],[refute_0_16903,refute_0_16904]) ).

cnf(refute_0_16906,plain,
    product(product(b,product(a,c)),b) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,c),b),bigC(b,b,product(a,c))) )],[refute_0_16902,refute_0_16905]) ).

cnf(refute_0_16907,plain,
    product(product(c,product(b,a)),b) = product(product(c,product(b,a)),b),
    introduced(tautology,[refl,[$fot(product(product(c,product(b,a)),b))]]) ).

cnf(refute_0_16908,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(product(c,product(b,a)),b) != product(product(c,product(b,a)),b)
    | product(product(c,product(b,a)),b) = product(product(b,product(a,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(b,a)),b),product(product(c,product(b,a)),b)) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_16909,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(product(c,product(b,a)),b) = product(product(b,product(a,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),b),product(product(c,product(b,a)),b)) )],[refute_0_16907,refute_0_16908]) ).

cnf(refute_0_16910,plain,
    product(product(c,product(b,a)),b) = product(product(b,product(a,c)),b),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_16909]) ).

cnf(refute_0_16911,plain,
    ( product(product(b,product(a,c)),b) != bigC(b,b,product(a,c))
    | product(product(c,product(b,a)),b) != product(product(b,product(a,c)),b)
    | product(product(c,product(b,a)),b) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(b,a)),b))),bind(Y,$fot(product(product(b,product(a,c)),b))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_16912,plain,
    ( product(product(b,product(a,c)),b) != bigC(b,b,product(a,c))
    | product(product(c,product(b,a)),b) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),b),product(product(b,product(a,c)),b)) )],[refute_0_16910,refute_0_16911]) ).

cnf(refute_0_16913,plain,
    product(product(c,product(b,a)),b) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),b),bigC(b,b,product(a,c))) )],[refute_0_16906,refute_0_16912]) ).

cnf(refute_0_16914,plain,
    ( bigC(b,c,product(c,b)) != product(product(c,product(b,a)),b)
    | product(product(c,product(b,a)),b) != bigC(b,b,product(a,c))
    | bigC(b,c,product(c,b)) = bigC(b,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,c,product(c,b)),bigC(b,b,product(a,c))) ),[0],$fot(product(product(c,product(b,a)),b))]]) ).

cnf(refute_0_16915,plain,
    ( bigC(b,c,product(c,b)) != product(product(c,product(b,a)),b)
    | bigC(b,c,product(c,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),b),bigC(b,b,product(a,c))) )],[refute_0_16913,refute_0_16914]) ).

cnf(refute_0_16916,plain,
    bigC(b,c,product(c,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,b)),product(product(c,product(b,a)),b)) )],[refute_0_16901,refute_0_16915]) ).

cnf(refute_0_16917,plain,
    product(product(A,C),bigC(b,c,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(A,C),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_16918,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | product(product(A,C),bigC(b,c,product(c,b))) != product(product(A,C),bigC(b,c,product(c,b)))
    | product(product(A,C),bigC(b,c,product(c,b))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),bigC(b,c,product(c,b))),product(product(A,C),bigC(b,c,product(c,b)))) ),[1,1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_16919,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | product(product(A,C),bigC(b,c,product(c,b))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(b,c,product(c,b))),product(product(A,C),bigC(b,c,product(c,b)))) )],[refute_0_16917,refute_0_16918]) ).

cnf(refute_0_16920,plain,
    product(product(A,C),bigC(b,c,product(c,b))) = product(product(A,C),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_16916,refute_0_16919]) ).

cnf(refute_0_16921,plain,
    ( product(product(A,C),bigC(b,c,product(c,b))) != product(product(A,C),bigC(b,b,product(a,c)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,C),bigC(b,c,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,C),bigC(b,c,product(c,b)))) ),[1],$fot(product(product(A,C),bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_16922,plain,
    ( product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,C),bigC(b,c,product(c,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(b,c,product(c,b))),product(product(A,C),bigC(b,b,product(a,c)))) )],[refute_0_16920,refute_0_16921]) ).

cnf(refute_0_16923,plain,
    product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,C),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,C),bigC(b,c,product(c,b)))) )],[refute_0_16880,refute_0_16922]) ).

cnf(refute_0_16924,plain,
    product(C,bigC(b,a,b)) = product(C,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(C,bigC(b,a,b)))]]) ).

cnf(refute_0_16925,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(C,bigC(b,a,b)) != product(C,bigC(b,a,b))
    | product(C,bigC(b,a,b)) = product(C,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,bigC(b,a,b)),product(C,bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_16926,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(C,bigC(b,a,b)) = product(C,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,a,b)),product(C,bigC(b,a,b))) )],[refute_0_16924,refute_0_16925]) ).

cnf(refute_0_16927,plain,
    product(C,bigC(b,a,b)) = product(C,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_16926]) ).

cnf(refute_0_16928,plain,
    product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,product(c,b)),product(C,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(product(A,product(c,b)),product(C,bigC(b,a,b))))]]) ).

cnf(refute_0_16929,plain,
    ( product(C,bigC(b,a,b)) != product(C,bigC(a,b,b))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,product(c,b)),product(C,bigC(b,a,b)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,product(c,b)),product(C,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,product(c,b)),product(C,bigC(b,a,b)))) ),[1,1],$fot(product(C,bigC(a,b,b)))]]) ).

cnf(refute_0_16930,plain,
    ( product(C,bigC(b,a,b)) != product(C,bigC(a,b,b))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,product(c,b)),product(C,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,product(c,b)),product(C,bigC(b,a,b)))) )],[refute_0_16928,refute_0_16929]) ).

cnf(refute_0_16931,plain,
    product(product(A,product(c,b)),product(C,bigC(b,a,b))) = product(product(A,product(c,b)),product(C,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(C,bigC(b,a,b)),product(C,bigC(a,b,b))) )],[refute_0_16927,refute_0_16930]) ).

cnf(refute_0_16932,plain,
    ( product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,C),bigC(b,b,product(a,c)))
    | product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,product(c,b)),product(C,bigC(a,b,b)))
    | product(product(A,product(c,b)),product(C,bigC(a,b,b))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,C),bigC(b,b,product(a,c)))) ),[0],$fot(product(product(A,product(c,b)),product(C,bigC(a,b,b))))]]) ).

cnf(refute_0_16933,plain,
    ( product(product(A,product(c,b)),product(C,bigC(b,a,b))) != product(product(A,C),bigC(b,b,product(a,c)))
    | product(product(A,product(c,b)),product(C,bigC(a,b,b))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,product(c,b)),product(C,bigC(a,b,b)))) )],[refute_0_16931,refute_0_16932]) ).

cnf(refute_0_16934,plain,
    product(product(A,product(c,b)),product(C,bigC(a,b,b))) = product(product(A,C),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,product(c,b)),product(C,bigC(b,a,b))),product(product(A,C),bigC(b,b,product(a,c)))) )],[refute_0_16923,refute_0_16933]) ).

cnf(refute_0_16935,plain,
    product(product(c,product(c,b)),product(X_23,bigC(a,b,b))) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(subst,[],[refute_0_16934:[bind(A,$fot(c)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_16936,plain,
    product(product(product(a,b),X_23),product(c,bigC(a,b,b))) = product(product(c,product(c,b)),product(X_23,bigC(a,b,b))),
    inference(subst,[],[refute_0_12754:[bind(B,$fot(X_23)),bind(D,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_16937,plain,
    ( product(product(c,product(c,b)),product(X_23,bigC(a,b,b))) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(product(a,b),X_23),product(c,bigC(a,b,b))) != product(product(c,product(c,b)),product(X_23,bigC(a,b,b)))
    | product(product(product(a,b),X_23),product(c,bigC(a,b,b))) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),X_23),product(c,bigC(a,b,b))))),bind(Y,$fot(product(product(c,product(c,b)),product(X_23,bigC(a,b,b))))),bind(Z,$fot(product(product(c,X_23),bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_16938,plain,
    ( product(product(c,product(c,b)),product(X_23,bigC(a,b,b))) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(product(a,b),X_23),product(c,bigC(a,b,b))) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),product(c,bigC(a,b,b))),product(product(c,product(c,b)),product(X_23,bigC(a,b,b)))) )],[refute_0_16936,refute_0_16937]) ).

cnf(refute_0_16939,plain,
    product(product(product(a,b),X_23),product(c,bigC(a,b,b))) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_23,bigC(a,b,b))),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_16935,refute_0_16938]) ).

cnf(refute_0_16940,plain,
    product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(product(a,b),X_23),bigC(a,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),X_23),bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_16941,plain,
    ( bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(product(product(a,b),X_23),bigC(a,b,product(c,b))) != product(product(product(a,b),X_23),bigC(a,b,product(c,b)))
    | product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(product(a,b),X_23),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),X_23),bigC(a,b,product(c,b))),product(product(product(a,b),X_23),bigC(a,b,product(c,b)))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_16942,plain,
    ( bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(product(a,b),X_23),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),bigC(a,b,product(c,b))),product(product(product(a,b),X_23),bigC(a,b,product(c,b)))) )],[refute_0_16940,refute_0_16941]) ).

cnf(refute_0_16943,plain,
    product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(product(a,b),X_23),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),product(c,bigC(a,b,b))) )],[refute_0_15118,refute_0_16942]) ).

cnf(refute_0_16944,plain,
    ( product(product(product(a,b),X_23),bigC(a,b,product(c,b))) != product(product(product(a,b),X_23),product(c,bigC(a,b,b)))
    | product(product(product(a,b),X_23),product(c,bigC(a,b,b))) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),X_23),bigC(a,b,product(c,b))))),bind(Y,$fot(product(product(product(a,b),X_23),product(c,bigC(a,b,b))))),bind(Z,$fot(product(product(c,X_23),bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_16945,plain,
    ( product(product(product(a,b),X_23),product(c,bigC(a,b,b))) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),bigC(a,b,product(c,b))),product(product(product(a,b),X_23),product(c,bigC(a,b,b)))) )],[refute_0_16943,refute_0_16944]) ).

cnf(refute_0_16946,plain,
    product(product(product(a,b),X_23),bigC(a,b,product(c,b))) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),product(c,bigC(a,b,b))),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_16939,refute_0_16945]) ).

cnf(refute_0_16947,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),bigC(a,b,product(c,b)))
    | product(product(product(a,b),X_23),bigC(a,b,product(c,b))) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,product(b,c)),product(product(c,b),b),X_23),product(product(c,X_23),bigC(b,b,product(a,c)))) ),[0],$fot(product(product(product(a,b),X_23),bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_16948,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),X_23) != product(product(product(a,b),X_23),bigC(a,b,product(c,b)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_23),bigC(a,b,product(c,b))),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_16946,refute_0_16947]) ).

cnf(refute_0_16949,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),X_23),product(product(product(a,b),X_23),bigC(a,b,product(c,b)))) )],[refute_0_16803,refute_0_16948]) ).

cnf(refute_0_16950,plain,
    bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = product(product(c,bigC(a,b,b)),product(X_23,quotient(product(c,bigC(a,b,b)),product(a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(c,bigC(a,b,b)))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_16951,plain,
    quotient(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),c) = quotient(product(c,bigC(a,b,b)),product(a,b)),
    inference(subst,[],[sos03:[bind(A,$fot(quotient(product(c,bigC(a,b,b)),product(a,b)))),bind(B,$fot(c))]]) ).

cnf(refute_0_16952,plain,
    quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,a,b))),bind(X_29,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_16953,plain,
    quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(quotient(product(bigC(a,a,c),c),product(a,c)),product(bigC(a,a,c),c))) = product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(product(bigC(a,a,c),c))),bind(X_17,$fot(product(a,c)))]]) ).

cnf(refute_0_16954,plain,
    quotient(product(bigC(a,a,c),c),difference(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(a,product(b,c)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(bigC(a,a,c),c))),bind(X_6,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_16955,plain,
    difference(product(product(a,b),X_22),bigC(product(a,b),X_22,product(c,a))) = product(product(c,a),product(a,b)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,b))),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_16956,plain,
    bigC(product(a,b),X_22,product(c,a)) = bigC(c,product(a,c),X_22),
    inference(subst,[],[refute_0_1037:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_16957,plain,
    ( bigC(product(a,b),X_22,product(c,a)) != bigC(c,product(a,c),X_22)
    | difference(product(product(a,b),X_22),bigC(product(a,b),X_22,product(c,a))) != product(product(c,a),product(a,b))
    | difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) = product(product(c,a),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),X_22),bigC(product(a,b),X_22,product(c,a))),product(product(c,a),product(a,b))) ),[0,1],$fot(bigC(c,product(a,c),X_22))]]) ).

cnf(refute_0_16958,plain,
    ( difference(product(product(a,b),X_22),bigC(product(a,b),X_22,product(c,a))) != product(product(c,a),product(a,b))
    | difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) = product(product(c,a),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,product(c,a)),bigC(c,product(a,c),X_22)) )],[refute_0_16956,refute_0_16957]) ).

cnf(refute_0_16959,plain,
    difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) = product(product(c,a),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),X_22),bigC(product(a,b),X_22,product(c,a))),product(product(c,a),product(a,b))) )],[refute_0_16955,refute_0_16958]) ).

cnf(refute_0_16960,plain,
    ( difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) != product(product(c,a),product(a,b))
    | product(product(c,a),product(a,b)) != product(a,c)
    | difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)),product(a,c)) ),[0],$fot(product(product(c,a),product(a,b)))]]) ).

cnf(refute_0_16961,plain,
    ( difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) != product(product(c,a),product(a,b))
    | difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(a,b)),product(a,c)) )],[refute_0_4667,refute_0_16960]) ).

cnf(refute_0_16962,plain,
    difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),X_22),bigC(c,product(a,c),X_22)),product(product(c,a),product(a,b))) )],[refute_0_16959,refute_0_16961]) ).

cnf(refute_0_16963,plain,
    difference(product(product(a,b),product(a,c)),bigC(c,product(a,c),product(a,c))) = product(a,c),
    inference(subst,[],[refute_0_16962:[bind(X_22,$fot(product(a,c)))]]) ).

cnf(refute_0_16964,plain,
    ( bigC(c,product(a,c),product(a,c)) != product(bigC(a,a,c),c)
    | difference(product(product(a,b),product(a,c)),bigC(c,product(a,c),product(a,c))) != product(a,c)
    | difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(a,c)),bigC(c,product(a,c),product(a,c))),product(a,c)) ),[0,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_16965,plain,
    ( difference(product(product(a,b),product(a,c)),bigC(c,product(a,c),product(a,c))) != product(a,c)
    | difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(a,c)),product(bigC(a,a,c),c)) )],[refute_0_6497,refute_0_16964]) ).

cnf(refute_0_16966,plain,
    difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(a,c)),bigC(c,product(a,c),product(a,c))),product(a,c)) )],[refute_0_16963,refute_0_16965]) ).

cnf(refute_0_16967,plain,
    difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_16968,plain,
    ( difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) != difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c))
    | product(product(a,b),product(a,c)) != product(a,product(b,c))
    | difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = difference(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)),difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_16969,plain,
    ( product(product(a,b),product(a,c)) != product(a,product(b,c))
    | difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = difference(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)),difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c))) )],[refute_0_16967,refute_0_16968]) ).

cnf(refute_0_16970,plain,
    difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) = difference(product(a,product(b,c)),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,c)),product(a,product(b,c))) )],[refute_0_108,refute_0_16969]) ).

cnf(refute_0_16971,plain,
    ( difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) != difference(product(a,product(b,c)),product(bigC(a,a,c),c))
    | difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) != product(a,c)
    | difference(product(a,product(b,c)),product(bigC(a,a,c),c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)),product(a,c)) ),[0],$fot(difference(product(a,product(b,c)),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_16972,plain,
    ( difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)) != product(a,c)
    | difference(product(a,product(b,c)),product(bigC(a,a,c),c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)),difference(product(a,product(b,c)),product(bigC(a,a,c),c))) )],[refute_0_16970,refute_0_16971]) ).

cnf(refute_0_16973,plain,
    difference(product(a,product(b,c)),product(bigC(a,a,c),c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(a,c)),product(bigC(a,a,c),c)),product(a,c)) )],[refute_0_16966,refute_0_16972]) ).

cnf(refute_0_16974,plain,
    ( difference(product(a,product(b,c)),product(bigC(a,a,c),c)) != product(a,c)
    | quotient(product(bigC(a,a,c),c),difference(product(a,product(b,c)),product(bigC(a,a,c),c))) != product(a,product(b,c))
    | quotient(product(bigC(a,a,c),c),product(a,c)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,a,c),c),difference(product(a,product(b,c)),product(bigC(a,a,c),c))),product(a,product(b,c))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_16975,plain,
    ( quotient(product(bigC(a,a,c),c),difference(product(a,product(b,c)),product(bigC(a,a,c),c))) != product(a,product(b,c))
    | quotient(product(bigC(a,a,c),c),product(a,c)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(bigC(a,a,c),c)),product(a,c)) )],[refute_0_16973,refute_0_16974]) ).

cnf(refute_0_16976,plain,
    quotient(product(bigC(a,a,c),c),product(a,c)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),c),difference(product(a,product(b,c)),product(bigC(a,a,c),c))),product(a,product(b,c))) )],[refute_0_16954,refute_0_16975]) ).

cnf(refute_0_16977,plain,
    ( quotient(product(bigC(a,a,c),c),product(a,c)) != product(a,product(b,c))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(quotient(product(bigC(a,a,c),c),product(a,c)),product(bigC(a,a,c),c))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(quotient(product(bigC(a,a,c),c),product(a,c)),product(bigC(a,a,c),c))),product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))) ),[0,1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_16978,plain,
    ( quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(quotient(product(bigC(a,a,c),c),product(a,c)),product(bigC(a,a,c),c))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),c),product(a,c)),product(a,product(b,c))) )],[refute_0_16976,refute_0_16977]) ).

cnf(refute_0_16979,plain,
    quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(quotient(product(bigC(a,a,c),c),product(a,c)),product(bigC(a,a,c),c))),product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))) )],[refute_0_16953,refute_0_16978]) ).

cnf(refute_0_16980,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))))]]) ).

cnf(refute_0_16981,plain,
    ( product(a,product(product(b,c),product(product(b,c),c))) != product(a,product(product(b,product(b,c)),c))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c))))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c))))) ),[1,1],$fot(product(a,product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_16982,plain,
    ( product(a,product(product(b,c),product(product(b,c),c))) != product(a,product(product(b,product(b,c)),c))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c))))) )],[refute_0_16980,refute_0_16981]) ).

cnf(refute_0_16983,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),product(product(b,c),c))),product(a,product(product(b,product(b,c)),c))) )],[refute_0_2968,refute_0_16982]) ).

cnf(refute_0_16984,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,bigC(c,product(b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),product(a,bigC(c,product(b,c),b))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_16985,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,bigC(c,product(b,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_16983,refute_0_16984]) ).

cnf(refute_0_16986,plain,
    ( product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,b,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,bigC(c,product(b,c),b))) ),[1],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_16987,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),product(a,bigC(c,b,product(b,c)))) )],[refute_0_2957,refute_0_16986]) ).

cnf(refute_0_16988,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))) != product(a,bigC(c,product(b,c),b))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,bigC(c,product(b,c),b))) )],[refute_0_16985,refute_0_16987]) ).

cnf(refute_0_16989,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = product(a,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,c),product(product(b,c),c)))),product(a,bigC(c,product(b,c),b))) )],[refute_0_2992,refute_0_16988]) ).

cnf(refute_0_16990,plain,
    difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),c)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(c)),bind(X_16,$fot(product(b,c)))]]) ).

cnf(refute_0_16991,plain,
    ( difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_16992,plain,
    ( difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),c))
    | difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_16991]) ).

cnf(refute_0_16993,plain,
    difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),c))) )],[refute_0_16990,refute_0_16992]) ).

cnf(refute_0_16994,plain,
    difference(product(product(c,b),product(product(b,c),c)),product(b,c)) = product(product(b,c),product(product(b,c),c)),
    inference(subst,[],[refute_0_5747:[bind(X_15,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_16995,plain,
    ( difference(product(product(c,b),product(product(b,c),c)),product(b,c)) != product(product(b,c),product(product(b,c),c))
    | product(product(b,c),product(product(b,c),c)) != product(product(b,product(b,c)),c)
    | difference(product(product(c,b),product(product(b,c),c)),product(b,c)) = product(product(b,product(b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),product(product(b,c),c)),product(b,c)))),bind(Y,$fot(product(product(b,c),product(product(b,c),c)))),bind(Z,$fot(product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_16996,plain,
    ( product(product(b,c),product(product(b,c),c)) != product(product(b,product(b,c)),c)
    | difference(product(product(c,b),product(product(b,c),c)),product(b,c)) = product(product(b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(b,c),c)),product(b,c)),product(product(b,c),product(product(b,c),c))) )],[refute_0_16994,refute_0_16995]) ).

cnf(refute_0_16997,plain,
    difference(product(product(c,b),product(product(b,c),c)),product(b,c)) = product(product(b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),c)),product(product(b,product(b,c)),c)) )],[refute_0_2964,refute_0_16996]) ).

cnf(refute_0_16998,plain,
    difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = difference(product(product(c,b),product(product(b,c),c)),product(b,c)),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(c)),bind(X_64,$fot(product(b,c))),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_16999,plain,
    ( difference(product(product(c,b),product(product(b,c),c)),product(b,c)) != product(product(b,product(b,c)),c)
    | difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != difference(product(product(c,b),product(product(b,c),c)),product(b,c))
    | difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,product(b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)))),bind(Y,$fot(difference(product(product(c,b),product(product(b,c),c)),product(b,c)))),bind(Z,$fot(product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_17000,plain,
    ( difference(product(product(c,b),product(product(b,c),c)),product(b,c)) != product(product(b,product(b,c)),c)
    | difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)),difference(product(product(c,b),product(product(b,c),c)),product(b,c))) )],[refute_0_16998,refute_0_16999]) ).

cnf(refute_0_17001,plain,
    difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) = product(product(b,product(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(b,c),c)),product(b,c)),product(product(b,product(b,c)),c)) )],[refute_0_16997,refute_0_17000]) ).

cnf(refute_0_17002,plain,
    ( difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(b,product(a,c)))
    | difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != product(product(b,product(b,c)),c)
    | product(product(b,product(b,c)),c) = product(product(b,c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(b,product(a,c)))) ),[0],$fot(product(product(b,product(b,c)),c))]]) ).

cnf(refute_0_17003,plain,
    ( difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(b,product(a,c)))
    | product(product(b,product(b,c)),c) = product(product(b,c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)),product(product(b,product(b,c)),c)) )],[refute_0_17001,refute_0_17002]) ).

cnf(refute_0_17004,plain,
    product(b,bigC(c,c,a)) = product(b,bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(b,bigC(c,c,a)))]]) ).

cnf(refute_0_17005,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(b,bigC(c,c,a)) != product(b,bigC(c,c,a))
    | product(b,bigC(c,c,a)) = product(b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(c,c,a)),product(b,bigC(c,c,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_17006,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(b,bigC(c,c,a)) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,c,a)),product(b,bigC(c,c,a))) )],[refute_0_17004,refute_0_17005]) ).

cnf(refute_0_17007,plain,
    product(b,bigC(c,c,a)) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_17006]) ).

cnf(refute_0_17008,plain,
    product(product(b,b),bigC(c,c,a)) = product(product(b,b),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(b,b),bigC(c,c,a)))]]) ).

cnf(refute_0_17009,plain,
    ( product(b,b) != b
    | product(product(b,b),bigC(c,c,a)) != product(product(b,b),bigC(c,c,a))
    | product(product(b,b),bigC(c,c,a)) = product(b,bigC(c,c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),bigC(c,c,a)),product(product(b,b),bigC(c,c,a))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_17010,plain,
    ( product(b,b) != b
    | product(product(b,b),bigC(c,c,a)) = product(b,bigC(c,c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(c,c,a)),product(product(b,b),bigC(c,c,a))) )],[refute_0_17008,refute_0_17009]) ).

cnf(refute_0_17011,plain,
    product(product(b,b),bigC(c,c,a)) = product(b,bigC(c,c,a)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_17010]) ).

cnf(refute_0_17012,plain,
    ( product(b,bigC(c,c,a)) != product(b,bigC(a,a,b))
    | product(product(b,b),bigC(c,c,a)) != product(b,bigC(c,c,a))
    | product(product(b,b),bigC(c,c,a)) = product(b,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,b),bigC(c,c,a)))),bind(Y,$fot(product(b,bigC(c,c,a)))),bind(Z,$fot(product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_17013,plain,
    ( product(b,bigC(c,c,a)) != product(b,bigC(a,a,b))
    | product(product(b,b),bigC(c,c,a)) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(c,c,a)),product(b,bigC(c,c,a))) )],[refute_0_17011,refute_0_17012]) ).

cnf(refute_0_17014,plain,
    product(product(b,b),bigC(c,c,a)) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,c,a)),product(b,bigC(a,a,b))) )],[refute_0_17007,refute_0_17013]) ).

cnf(refute_0_17015,plain,
    product(product(b,c),product(b,product(a,c))) = product(product(b,b),bigC(c,c,a)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_17016,plain,
    ( product(product(b,b),bigC(c,c,a)) != product(b,bigC(a,a,b))
    | product(product(b,c),product(b,product(a,c))) != product(product(b,b),bigC(c,c,a))
    | product(product(b,c),product(b,product(a,c))) = product(b,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(b,product(a,c))))),bind(Y,$fot(product(product(b,b),bigC(c,c,a)))),bind(Z,$fot(product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_17017,plain,
    ( product(product(b,b),bigC(c,c,a)) != product(b,bigC(a,a,b))
    | product(product(b,c),product(b,product(a,c))) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,product(a,c))),product(product(b,b),bigC(c,c,a))) )],[refute_0_17015,refute_0_17016]) ).

cnf(refute_0_17018,plain,
    product(product(b,c),product(b,product(a,c))) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(b,b),bigC(c,c,a)),product(b,bigC(a,a,b))) )],[refute_0_17014,refute_0_17017]) ).

cnf(refute_0_17019,plain,
    ( product(product(b,c),product(b,product(a,c))) != product(b,bigC(a,a,b))
    | product(product(b,product(b,c)),c) != product(product(b,c),product(b,product(a,c)))
    | product(product(b,product(b,c)),c) = product(b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(b,c)),c),product(product(b,c),product(b,product(a,c)))) ),[1],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_17020,plain,
    ( product(product(b,product(b,c)),c) != product(product(b,c),product(b,product(a,c)))
    | product(product(b,product(b,c)),c) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,product(a,c))),product(b,bigC(a,a,b))) )],[refute_0_17018,refute_0_17019]) ).

cnf(refute_0_17021,plain,
    ( difference(product(product(c,product(b,c)),product(b,c)),product(b,c)) != product(product(b,c),product(b,product(a,c)))
    | product(product(b,product(b,c)),c) = product(b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),c),product(product(b,c),product(b,product(a,c)))) )],[refute_0_17003,refute_0_17020]) ).

cnf(refute_0_17022,plain,
    product(product(b,product(b,c)),c) = product(b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,c)),product(b,c)),product(b,c)),product(product(b,c),product(b,product(a,c)))) )],[refute_0_16993,refute_0_17021]) ).

cnf(refute_0_17023,plain,
    product(a,product(product(b,product(b,c)),c)) = product(a,product(product(b,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(a,product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_17024,plain,
    ( product(a,product(product(b,product(b,c)),c)) != product(a,product(product(b,product(b,c)),c))
    | product(product(b,product(b,c)),c) != product(b,bigC(a,a,b))
    | product(a,product(product(b,product(b,c)),c)) = product(a,product(b,bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,product(b,c)),c))) ),[1,1],$fot(product(b,bigC(a,a,b)))]]) ).

cnf(refute_0_17025,plain,
    ( product(product(b,product(b,c)),c) != product(b,bigC(a,a,b))
    | product(a,product(product(b,product(b,c)),c)) = product(a,product(b,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),product(a,product(product(b,product(b,c)),c))) )],[refute_0_17023,refute_0_17024]) ).

cnf(refute_0_17026,plain,
    product(a,product(product(b,product(b,c)),c)) = product(a,product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),c),product(b,bigC(a,a,b))) )],[refute_0_17022,refute_0_17025]) ).

cnf(refute_0_17027,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_17028,plain,
    ( product(a,product(product(b,product(b,c)),c)) != product(a,product(b,bigC(a,a,b)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) ),[1,1],$fot(product(a,product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_17029,plain,
    ( product(a,product(product(b,product(b,c)),c)) != product(a,product(b,bigC(a,a,b)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c)))) )],[refute_0_17027,refute_0_17028]) ).

cnf(refute_0_17030,plain,
    quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),product(a,product(b,bigC(a,a,b)))) )],[refute_0_17026,refute_0_17029]) ).

cnf(refute_0_17031,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,bigC(c,b,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,bigC(c,b,product(b,c)))) ),[0],$fot(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))))]]) ).

cnf(refute_0_17032,plain,
    ( quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))) != product(a,bigC(c,b,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))) )],[refute_0_17030,refute_0_17031]) ).

cnf(refute_0_17033,plain,
    quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(product(b,product(b,c)),c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_16989,refute_0_17032]) ).

cnf(refute_0_17034,plain,
    ( product(a,bigC(c,b,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) != product(a,bigC(c,b,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),product(a,bigC(c,b,product(b,c)))) ),[1],$fot(product(a,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_17035,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) != product(a,bigC(c,b,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_13178,refute_0_17034]) ).

cnf(refute_0_17036,plain,
    quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_17033,refute_0_17035]) ).

cnf(refute_0_17037,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),product(a,bigC(b,c,product(b,c)))) ),[1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_17038,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_12703,refute_0_17037]) ).

cnf(refute_0_17039,plain,
    quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_17036,refute_0_17038]) ).

cnf(refute_0_17040,plain,
    bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(product(a,product(b,c)),product(bigC(a,a,b),product(a,product(b,c)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(a,product(b,c)))),bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17041,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) != product(product(a,product(b,c)),product(bigC(a,a,b),product(a,product(b,c))))
    | product(bigC(a,a,b),product(a,product(b,c))) != product(bigC(a,a,c),c)
    | bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)),product(product(a,product(b,c)),product(bigC(a,a,b),product(a,product(b,c))))) ),[1,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_17042,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) != product(product(a,product(b,c)),product(bigC(a,a,b),product(a,product(b,c))))
    | bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(a,product(b,c))),product(bigC(a,a,c),c)) )],[refute_0_6493,refute_0_17041]) ).

cnf(refute_0_17043,plain,
    bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(product(a,product(b,c)),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)),product(product(a,product(b,c)),product(bigC(a,a,b),product(a,product(b,c))))) )],[refute_0_17040,refute_0_17042]) ).

cnf(refute_0_17044,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) = bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_17045,plain,
    ( bigC(c,a,b) != c
    | bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) = bigC(product(a,c),c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_17046,plain,
    ( bigC(c,a,b) != c
    | bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) = bigC(product(a,c),c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_17044,refute_0_17045]) ).

cnf(refute_0_17047,plain,
    bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) = bigC(product(a,c),c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_17046]) ).

cnf(refute_0_17048,plain,
    ( bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))) != bigC(product(a,c),c,product(a,product(b,c)))
    | product(a,product(product(b,product(b,c)),c)) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | product(a,product(product(b,product(b,c)),c)) = bigC(product(a,c),c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) ),[1],$fot(bigC(product(a,c),c,product(a,product(b,c))))]]) ).

cnf(refute_0_17049,plain,
    ( product(a,product(product(b,product(b,c)),c)) != bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))
    | product(a,product(product(b,product(b,c)),c)) = bigC(product(a,c),c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(c,a,b),product(a,product(b,c))),bigC(product(a,c),c,product(a,product(b,c)))) )],[refute_0_17047,refute_0_17048]) ).

cnf(refute_0_17050,plain,
    product(a,product(product(b,product(b,c)),c)) = bigC(product(a,c),c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),bigC(product(a,c),bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_3041,refute_0_17049]) ).

cnf(refute_0_17051,plain,
    ( product(a,product(product(b,product(b,c)),c)) != bigC(product(a,c),c,product(a,product(b,c)))
    | bigC(product(a,c),c,product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(product(b,product(b,c)),c)))),bind(Y,$fot(bigC(product(a,c),c,product(a,product(b,c)))))]]) ).

cnf(refute_0_17052,plain,
    bigC(product(a,c),c,product(a,product(b,c))) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),bigC(product(a,c),c,product(a,product(b,c)))) )],[refute_0_17050,refute_0_17051]) ).

cnf(refute_0_17053,plain,
    bigC(product(a,c),product(a,product(b,c)),c) = bigC(product(a,c),c,product(a,product(b,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(c)),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_17054,plain,
    ( bigC(product(a,c),c,product(a,product(b,c))) != product(a,product(product(b,product(b,c)),c))
    | bigC(product(a,c),product(a,product(b,c)),c) != bigC(product(a,c),c,product(a,product(b,c)))
    | bigC(product(a,c),product(a,product(b,c)),c) = product(a,product(product(b,product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,product(b,c)),c))),bind(Y,$fot(bigC(product(a,c),c,product(a,product(b,c))))),bind(Z,$fot(product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_17055,plain,
    ( bigC(product(a,c),c,product(a,product(b,c))) != product(a,product(product(b,product(b,c)),c))
    | bigC(product(a,c),product(a,product(b,c)),c) = product(a,product(product(b,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,product(b,c)),c),bigC(product(a,c),c,product(a,product(b,c)))) )],[refute_0_17053,refute_0_17054]) ).

cnf(refute_0_17056,plain,
    bigC(product(a,c),product(a,product(b,c)),c) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(a,product(b,c))),product(a,product(product(b,product(b,c)),c))) )],[refute_0_17052,refute_0_17055]) ).

cnf(refute_0_17057,plain,
    bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b),X_23) = product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(a,c,product(c,b)))),bind(X_22,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17058,plain,
    quotient(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) = product(product(a,c),c),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17059,plain,
    ( product(product(product(a,c),c),bigC(a,a,b)) != bigC(a,c,product(c,b))
    | quotient(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) != product(product(a,c),c)
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),product(product(a,c),c)) ),[0,0],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_17060,plain,
    ( quotient(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)) != product(product(a,c),c)
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,c,product(c,b))) )],[refute_0_14659,refute_0_17059]) ).

cnf(refute_0_17061,plain,
    quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,a,b)),product(product(a,c),c)) )],[refute_0_17058,refute_0_17060]) ).

cnf(refute_0_17062,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) != product(product(a,c),c)
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),product(product(a,c),c)) ),[1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17063,plain,
    ( quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) != product(product(a,c),c)
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_17062]) ).

cnf(refute_0_17064,plain,
    quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),product(product(a,c),c)) )],[refute_0_17061,refute_0_17063]) ).

cnf(refute_0_17065,plain,
    ( bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b),X_23) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(product(a,product(b,c)),bigC(a,a,b),X_23) = product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b),X_23),product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17066,plain,
    ( bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b),X_23) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | bigC(product(a,product(b,c)),bigC(a,a,b),X_23) = product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_17064,refute_0_17065]) ).

cnf(refute_0_17067,plain,
    bigC(product(a,product(b,c)),bigC(a,a,b),X_23) = product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),bigC(a,a,b),X_23),product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))) )],[refute_0_17057,refute_0_17066]) ).

cnf(refute_0_17068,plain,
    bigC(product(product(a,c),c),bigC(a,a,b),C) = product(product(product(product(a,c),c),bigC(a,a,b)),product(C,product(product(a,c),c))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17069,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != product(product(product(product(a,c),c),bigC(a,a,b)),product(C,product(product(a,c),c)))
    | product(product(product(a,c),c),bigC(a,a,b)) != bigC(a,c,product(c,b))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) = product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),product(product(product(product(a,c),c),bigC(a,a,b)),product(C,product(product(a,c),c)))) ),[1,0],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_17070,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != product(product(product(product(a,c),c),bigC(a,a,b)),product(C,product(product(a,c),c)))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) = product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),bigC(a,a,b)),bigC(a,c,product(c,b))) )],[refute_0_14659,refute_0_17069]) ).

cnf(refute_0_17071,plain,
    bigC(product(product(a,c),c),bigC(a,a,b),C) = product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),product(product(product(product(a,c),c),bigC(a,a,b)),product(C,product(product(a,c),c)))) )],[refute_0_17068,refute_0_17070]) ).

cnf(refute_0_17072,plain,
    bigC(product(a,c),C,product(product(c,b),product(a,c))) = bigC(product(a,c),C,product(product(c,b),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,c),C,product(product(c,b),product(a,c))))]]) ).

cnf(refute_0_17073,plain,
    ( bigC(product(a,c),C,product(product(c,b),product(a,c))) != bigC(product(a,c),C,product(product(c,b),product(a,c)))
    | product(product(c,b),product(a,c)) != bigC(c,a,b)
    | bigC(product(a,c),C,product(product(c,b),product(a,c))) = bigC(product(a,c),C,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),C,product(product(c,b),product(a,c))),bigC(product(a,c),C,product(product(c,b),product(a,c)))) ),[1,2],$fot(bigC(c,a,b))]]) ).

cnf(refute_0_17074,plain,
    ( product(product(c,b),product(a,c)) != bigC(c,a,b)
    | bigC(product(a,c),C,product(product(c,b),product(a,c))) = bigC(product(a,c),C,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),C,product(product(c,b),product(a,c))),bigC(product(a,c),C,product(product(c,b),product(a,c)))) )],[refute_0_17072,refute_0_17073]) ).

cnf(refute_0_17075,plain,
    bigC(product(a,c),C,product(product(c,b),product(a,c))) = bigC(product(a,c),C,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),bigC(c,a,b)) )],[refute_0_467,refute_0_17074]) ).

cnf(refute_0_17076,plain,
    product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) = bigC(product(a,c),C,product(product(c,b),product(a,c))),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(C)),bind(X_63,$fot(product(c,b))),bind(X_64,$fot(product(a,c))),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_17077,plain,
    ( bigC(product(a,c),C,product(product(c,b),product(a,c))) != bigC(product(a,c),C,bigC(c,a,b))
    | product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) != bigC(product(a,c),C,product(product(c,b),product(a,c)))
    | product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) = bigC(product(a,c),C,bigC(c,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))))),bind(Y,$fot(bigC(product(a,c),C,product(product(c,b),product(a,c))))),bind(Z,$fot(bigC(product(a,c),C,bigC(c,a,b))))]]) ).

cnf(refute_0_17078,plain,
    ( bigC(product(a,c),C,product(product(c,b),product(a,c))) != bigC(product(a,c),C,bigC(c,a,b))
    | product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) = bigC(product(a,c),C,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))),bigC(product(a,c),C,product(product(c,b),product(a,c)))) )],[refute_0_17076,refute_0_17077]) ).

cnf(refute_0_17079,plain,
    product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) = bigC(product(a,c),C,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),C,product(product(c,b),product(a,c))),bigC(product(a,c),C,bigC(c,a,b))) )],[refute_0_17075,refute_0_17078]) ).

cnf(refute_0_17080,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c)))
    | product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))) != bigC(product(a,c),C,bigC(c,a,b))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(a,c),C,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),bigC(product(a,c),C,bigC(c,a,b))) ),[0],$fot(product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))))]]) ).

cnf(refute_0_17081,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c)))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(a,c),C,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c))),bigC(product(a,c),C,bigC(c,a,b))) )],[refute_0_17079,refute_0_17080]) ).

cnf(refute_0_17082,plain,
    bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(a,c),C,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),product(bigC(a,c,product(c,b)),product(C,product(product(a,c),c)))) )],[refute_0_17071,refute_0_17081]) ).

cnf(refute_0_17083,plain,
    bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(product(a,c),c),bigC(a,a,b),C),
    introduced(tautology,[refl,[$fot(bigC(product(product(a,c),c),bigC(a,a,b),C))]]) ).

cnf(refute_0_17084,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != bigC(product(product(a,c),c),bigC(a,a,b),C)
    | product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(a,product(b,c)),bigC(a,a,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),bigC(product(product(a,c),c),bigC(a,a,b),C)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17085,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(a,product(b,c)),bigC(a,a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),bigC(product(product(a,c),c),bigC(a,a,b),C)) )],[refute_0_17083,refute_0_17084]) ).

cnf(refute_0_17086,plain,
    bigC(product(product(a,c),c),bigC(a,a,b),C) = bigC(product(a,product(b,c)),bigC(a,a,b),C),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_17085]) ).

cnf(refute_0_17087,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != bigC(product(a,c),C,bigC(c,a,b))
    | bigC(product(product(a,c),c),bigC(a,a,b),C) != bigC(product(a,product(b,c)),bigC(a,a,b),C)
    | bigC(product(a,product(b,c)),bigC(a,a,b),C) = bigC(product(a,c),C,bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),bigC(product(a,c),C,bigC(c,a,b))) ),[0],$fot(bigC(product(a,product(b,c)),bigC(a,a,b),C))]]) ).

cnf(refute_0_17088,plain,
    ( bigC(product(product(a,c),c),bigC(a,a,b),C) != bigC(product(a,c),C,bigC(c,a,b))
    | bigC(product(a,product(b,c)),bigC(a,a,b),C) = bigC(product(a,c),C,bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),bigC(product(a,product(b,c)),bigC(a,a,b),C)) )],[refute_0_17086,refute_0_17087]) ).

cnf(refute_0_17089,plain,
    bigC(product(a,product(b,c)),bigC(a,a,b),C) = bigC(product(a,c),C,bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),c),bigC(a,a,b),C),bigC(product(a,c),C,bigC(c,a,b))) )],[refute_0_17082,refute_0_17088]) ).

cnf(refute_0_17090,plain,
    bigC(product(a,c),C,bigC(c,a,b)) = bigC(product(a,c),C,bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(a,c),C,bigC(c,a,b)))]]) ).

cnf(refute_0_17091,plain,
    ( bigC(c,a,b) != c
    | bigC(product(a,c),C,bigC(c,a,b)) != bigC(product(a,c),C,bigC(c,a,b))
    | bigC(product(a,c),C,bigC(c,a,b)) = bigC(product(a,c),C,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),C,bigC(c,a,b)),bigC(product(a,c),C,bigC(c,a,b))) ),[1,2],$fot(c)]]) ).

cnf(refute_0_17092,plain,
    ( bigC(c,a,b) != c
    | bigC(product(a,c),C,bigC(c,a,b)) = bigC(product(a,c),C,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),C,bigC(c,a,b)),bigC(product(a,c),C,bigC(c,a,b))) )],[refute_0_17090,refute_0_17091]) ).

cnf(refute_0_17093,plain,
    bigC(product(a,c),C,bigC(c,a,b)) = bigC(product(a,c),C,c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_17092]) ).

cnf(refute_0_17094,plain,
    ( bigC(product(a,c),C,bigC(c,a,b)) != bigC(product(a,c),C,c)
    | bigC(product(a,product(b,c)),bigC(a,a,b),C) != bigC(product(a,c),C,bigC(c,a,b))
    | bigC(product(a,product(b,c)),bigC(a,a,b),C) = bigC(product(a,c),C,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(a,a,b),C),bigC(product(a,c),C,bigC(c,a,b))) ),[1],$fot(bigC(product(a,c),C,c))]]) ).

cnf(refute_0_17095,plain,
    ( bigC(product(a,product(b,c)),bigC(a,a,b),C) != bigC(product(a,c),C,bigC(c,a,b))
    | bigC(product(a,product(b,c)),bigC(a,a,b),C) = bigC(product(a,c),C,c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),C,bigC(c,a,b)),bigC(product(a,c),C,c)) )],[refute_0_17093,refute_0_17094]) ).

cnf(refute_0_17096,plain,
    bigC(product(a,product(b,c)),bigC(a,a,b),C) = bigC(product(a,c),C,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(a,a,b),C),bigC(product(a,c),C,bigC(c,a,b))) )],[refute_0_17089,refute_0_17095]) ).

cnf(refute_0_17097,plain,
    bigC(product(a,product(b,c)),bigC(a,a,b),X_23) = bigC(product(a,c),X_23,c),
    inference(subst,[],[refute_0_17096:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_17098,plain,
    ( bigC(product(a,product(b,c)),bigC(a,a,b),X_23) != bigC(product(a,c),X_23,c)
    | bigC(product(a,product(b,c)),bigC(a,a,b),X_23) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | bigC(product(a,c),X_23,c) = product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(a,a,b),X_23),product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))) ),[0],$fot(bigC(product(a,c),X_23,c))]]) ).

cnf(refute_0_17099,plain,
    ( bigC(product(a,product(b,c)),bigC(a,a,b),X_23) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | bigC(product(a,c),X_23,c) = product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(a,a,b),X_23),bigC(product(a,c),X_23,c)) )],[refute_0_17097,refute_0_17098]) ).

cnf(refute_0_17100,plain,
    bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) = bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)))]]) ).

cnf(refute_0_17101,plain,
    ( bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) != bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b))
    | quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)),bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17102,plain,
    ( quotient(bigC(a,c,product(c,b)),bigC(a,a,b)) != product(a,product(b,c))
    | bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)),bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b))) )],[refute_0_17100,refute_0_17101]) ).

cnf(refute_0_17103,plain,
    bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),product(a,product(b,c))) )],[refute_0_17064,refute_0_17102]) ).

cnf(refute_0_17104,plain,
    product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) = bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(bigC(a,c,product(c,b)))),bind(X_22,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17105,plain,
    ( bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) != bigC(product(a,product(b,c)),X_23,bigC(a,a,b))
    | product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) != bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b))
    | product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))))),bind(Y,$fot(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)))),bind(Z,$fot(bigC(product(a,product(b,c)),X_23,bigC(a,a,b))))]]) ).

cnf(refute_0_17106,plain,
    ( bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)) != bigC(product(a,product(b,c)),X_23,bigC(a,a,b))
    | product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))),bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b))) )],[refute_0_17104,refute_0_17105]) ).

cnf(refute_0_17107,plain,
    product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,c,product(c,b)),bigC(a,a,b)),X_23,bigC(a,a,b)),bigC(product(a,product(b,c)),X_23,bigC(a,a,b))) )],[refute_0_17103,refute_0_17106]) ).

cnf(refute_0_17108,plain,
    ( bigC(product(a,c),X_23,c) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))) != bigC(product(a,product(b,c)),X_23,bigC(a,a,b))
    | bigC(product(a,c),X_23,c) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),X_23,c),bigC(product(a,product(b,c)),X_23,bigC(a,a,b))) ),[0],$fot(product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))))]]) ).

cnf(refute_0_17109,plain,
    ( bigC(product(a,c),X_23,c) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | bigC(product(a,c),X_23,c) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b)))),bigC(product(a,product(b,c)),X_23,bigC(a,a,b))) )],[refute_0_17107,refute_0_17108]) ).

cnf(refute_0_17110,plain,
    ( bigC(product(a,product(b,c)),bigC(a,a,b),X_23) != product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))
    | bigC(product(a,c),X_23,c) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_23,c),product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))) )],[refute_0_17099,refute_0_17109]) ).

cnf(refute_0_17111,plain,
    bigC(product(a,c),X_23,c) = bigC(product(a,product(b,c)),X_23,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),bigC(a,a,b),X_23),product(bigC(a,c,product(c,b)),product(X_23,quotient(bigC(a,c,product(c,b)),bigC(a,a,b))))) )],[refute_0_17067,refute_0_17110]) ).

cnf(refute_0_17112,plain,
    ( bigC(product(a,c),X_23,c) != bigC(product(a,product(b,c)),X_23,bigC(a,a,b))
    | bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) = bigC(product(a,c),X_23,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),X_23,c))),bind(Y,$fot(bigC(product(a,product(b,c)),X_23,bigC(a,a,b))))]]) ).

cnf(refute_0_17113,plain,
    bigC(product(a,product(b,c)),X_23,bigC(a,a,b)) = bigC(product(a,c),X_23,c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_23,c),bigC(product(a,product(b,c)),X_23,bigC(a,a,b))) )],[refute_0_17111,refute_0_17112]) ).

cnf(refute_0_17114,plain,
    bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = bigC(product(a,c),product(a,product(b,c)),c),
    inference(subst,[],[refute_0_17113:[bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_17115,plain,
    ( bigC(product(a,c),product(a,product(b,c)),c) != product(a,product(product(b,product(b,c)),c))
    | bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) != bigC(product(a,c),product(a,product(b,c)),c)
    | bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(a,product(product(b,product(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)))),bind(Y,$fot(bigC(product(a,c),product(a,product(b,c)),c))),bind(Z,$fot(product(a,product(product(b,product(b,c)),c))))]]) ).

cnf(refute_0_17116,plain,
    ( bigC(product(a,c),product(a,product(b,c)),c) != product(a,product(product(b,product(b,c)),c))
    | bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(a,product(product(b,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)),bigC(product(a,c),product(a,product(b,c)),c)) )],[refute_0_17114,refute_0_17115]) ).

cnf(refute_0_17117,plain,
    bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) = product(a,product(product(b,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,product(b,c)),c),product(a,product(product(b,product(b,c)),c))) )],[refute_0_17056,refute_0_17116]) ).

cnf(refute_0_17118,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) != product(a,product(product(b,product(b,c)),c))
    | bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) != product(product(a,product(b,c)),product(bigC(a,a,c),c))
    | product(a,product(product(b,product(b,c)),c)) = product(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) ),[0],$fot(product(a,product(product(b,product(b,c)),c)))]]) ).

cnf(refute_0_17119,plain,
    ( bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)) != product(product(a,product(b,c)),product(bigC(a,a,c),c))
    | product(a,product(product(b,product(b,c)),c)) = product(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)),product(a,product(product(b,product(b,c)),c))) )],[refute_0_17117,refute_0_17118]) ).

cnf(refute_0_17120,plain,
    product(a,product(product(b,product(b,c)),c)) = product(product(a,product(b,c)),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(a,product(b,c)),bigC(a,a,b)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) )],[refute_0_17043,refute_0_17119]) ).

cnf(refute_0_17121,plain,
    ( product(a,product(product(b,product(b,c)),c)) != product(a,product(b,bigC(a,a,b)))
    | product(a,product(product(b,product(b,c)),c)) != product(product(a,product(b,c)),product(bigC(a,a,c),c))
    | product(a,product(b,bigC(a,a,b))) = product(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) ),[0],$fot(product(a,product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_17122,plain,
    ( product(a,product(product(b,product(b,c)),c)) != product(product(a,product(b,c)),product(bigC(a,a,c),c))
    | product(a,product(b,bigC(a,a,b))) = product(product(a,product(b,c)),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),product(a,product(b,bigC(a,a,b)))) )],[refute_0_17026,refute_0_17121]) ).

cnf(refute_0_17123,plain,
    product(a,product(b,bigC(a,a,b))) = product(product(a,product(b,c)),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,product(b,c)),c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) )],[refute_0_17120,refute_0_17122]) ).

cnf(refute_0_17124,plain,
    bigC(c,product(a,b),C) = product(product(c,product(a,b)),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_17125,plain,
    ( bigC(c,product(a,b),C) != product(product(c,product(a,b)),product(C,c))
    | product(c,product(a,b)) != product(a,product(b,c))
    | bigC(c,product(a,b),C) = product(product(a,product(b,c)),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),C),product(product(c,product(a,b)),product(C,c))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17126,plain,
    ( bigC(c,product(a,b),C) != product(product(c,product(a,b)),product(C,c))
    | bigC(c,product(a,b),C) = product(product(a,product(b,c)),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_17125]) ).

cnf(refute_0_17127,plain,
    bigC(c,product(a,b),C) = product(product(a,product(b,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),C),product(product(c,product(a,b)),product(C,c))) )],[refute_0_17124,refute_0_17126]) ).

cnf(refute_0_17128,plain,
    ( bigC(c,product(a,b),C) != product(product(a,product(b,c)),product(C,c))
    | product(product(a,product(b,c)),product(C,c)) = bigC(c,product(a,b),C) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(a,b),C))),bind(Y,$fot(product(product(a,product(b,c)),product(C,c))))]]) ).

cnf(refute_0_17129,plain,
    product(product(a,product(b,c)),product(C,c)) = bigC(c,product(a,b),C),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),C),product(product(a,product(b,c)),product(C,c))) )],[refute_0_17127,refute_0_17128]) ).

cnf(refute_0_17130,plain,
    product(product(a,product(b,c)),product(bigC(a,a,c),c)) = bigC(c,product(a,b),bigC(a,a,c)),
    inference(subst,[],[refute_0_17129:[bind(C,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_17131,plain,
    ( product(a,product(b,bigC(a,a,b))) != product(product(a,product(b,c)),product(bigC(a,a,c),c))
    | product(product(a,product(b,c)),product(bigC(a,a,c),c)) != bigC(c,product(a,b),bigC(a,a,c))
    | product(a,product(b,bigC(a,a,b))) = bigC(c,product(a,b),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,product(b,bigC(a,a,b))),bigC(c,product(a,b),bigC(a,a,c))) ),[0],$fot(product(product(a,product(b,c)),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17132,plain,
    ( product(a,product(b,bigC(a,a,b))) != product(product(a,product(b,c)),product(bigC(a,a,c),c))
    | product(a,product(b,bigC(a,a,b))) = bigC(c,product(a,b),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(bigC(a,a,c),c)),bigC(c,product(a,b),bigC(a,a,c))) )],[refute_0_17130,refute_0_17131]) ).

cnf(refute_0_17133,plain,
    product(a,product(b,bigC(a,a,b))) = bigC(c,product(a,b),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(a,a,b))),product(product(a,product(b,c)),product(bigC(a,a,c),c))) )],[refute_0_17123,refute_0_17132]) ).

cnf(refute_0_17134,plain,
    ( product(a,product(b,bigC(a,a,b))) != bigC(c,product(a,b),bigC(a,a,c))
    | bigC(c,product(a,b),bigC(a,a,c)) = product(a,product(b,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,bigC(a,a,b))))),bind(Y,$fot(bigC(c,product(a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_17135,plain,
    bigC(c,product(a,b),bigC(a,a,c)) = product(a,product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(a,product(b,bigC(a,a,b))),bigC(c,product(a,b),bigC(a,a,c))) )],[refute_0_17133,refute_0_17134]) ).

cnf(refute_0_17136,plain,
    ( bigC(c,product(a,b),bigC(a,a,c)) != product(a,product(b,bigC(a,a,b)))
    | product(product(a,product(b,c)),product(bigC(a,a,c),c)) != bigC(c,product(a,b),bigC(a,a,c))
    | product(product(a,product(b,c)),product(bigC(a,a,c),c)) = product(a,product(b,bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(bigC(a,a,c),c)))),bind(Y,$fot(bigC(c,product(a,b),bigC(a,a,c)))),bind(Z,$fot(product(a,product(b,bigC(a,a,b)))))]]) ).

cnf(refute_0_17137,plain,
    ( bigC(c,product(a,b),bigC(a,a,c)) != product(a,product(b,bigC(a,a,b)))
    | product(product(a,product(b,c)),product(bigC(a,a,c),c)) = product(a,product(b,bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(bigC(a,a,c),c)),bigC(c,product(a,b),bigC(a,a,c))) )],[refute_0_17130,refute_0_17136]) ).

cnf(refute_0_17138,plain,
    product(product(a,product(b,c)),product(bigC(a,a,c),c)) = product(a,product(b,bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),bigC(a,a,c)),product(a,product(b,bigC(a,a,b)))) )],[refute_0_17135,refute_0_17137]) ).

cnf(refute_0_17139,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),
    introduced(tautology,[refl,[$fot(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_17140,plain,
    ( product(product(a,product(b,c)),product(bigC(a,a,c),c)) != product(a,product(b,bigC(a,a,b)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))) ),[1,1],$fot(product(a,product(b,bigC(a,a,b))))]]) ).

cnf(refute_0_17141,plain,
    ( product(product(a,product(b,c)),product(bigC(a,a,c),c)) != product(a,product(b,bigC(a,a,b)))
    | quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))) )],[refute_0_17139,refute_0_17140]) ).

cnf(refute_0_17142,plain,
    quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(bigC(a,a,c),c)),product(a,product(b,bigC(a,a,b)))) )],[refute_0_17138,refute_0_17141]) ).

cnf(refute_0_17143,plain,
    quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_17144,plain,
    ( quotient(product(bigC(a,a,c),c),product(a,c)) != product(a,product(b,c))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17145,plain,
    ( quotient(product(bigC(a,a,c),c),product(a,c)) != product(a,product(b,c))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))) )],[refute_0_17143,refute_0_17144]) ).

cnf(refute_0_17146,plain,
    quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,c),c),product(a,c)),product(a,product(b,c))) )],[refute_0_16976,refute_0_17145]) ).

cnf(refute_0_17147,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))))),bind(Y,$fot(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))))),bind(Z,$fot(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))))]]) ).

cnf(refute_0_17148,plain,
    ( quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c)))) )],[refute_0_17146,refute_0_17147]) ).

cnf(refute_0_17149,plain,
    quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))) )],[refute_0_17142,refute_0_17148]) ).

cnf(refute_0_17150,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) != product(a,bigC(b,b,product(c,a)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))))),bind(Y,$fot(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))))),bind(Z,$fot(product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_17151,plain,
    ( quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))) != product(a,bigC(b,b,product(c,a)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b))))) )],[refute_0_17149,refute_0_17150]) ).

cnf(refute_0_17152,plain,
    quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,product(b,bigC(a,a,b)))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_17039,refute_0_17151]) ).

cnf(refute_0_17153,plain,
    ( quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != product(a,bigC(b,b,product(c,a)))
    | quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | product(a,bigC(b,b,product(c,a))) = product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))) ),[0],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_17154,plain,
    ( quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | product(a,bigC(b,b,product(c,a))) = product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_17152,refute_0_17153]) ).

cnf(refute_0_17155,plain,
    difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = product(product(a,c),product(product(a,c),quotient(product(a,product(b,c)),product(a,c)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(a,product(b,c)))),bind(X_20,$fot(product(a,c)))]]) ).

cnf(refute_0_17156,plain,
    ( difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),quotient(product(a,product(b,c)),product(a,c))))
    | quotient(product(a,product(b,c)),product(a,c)) != product(a,b)
    | difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = product(product(a,c),product(product(a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),quotient(product(a,product(b,c)),product(a,c))))) ),[1,1,1],$fot(product(a,b))]]) ).

cnf(refute_0_17157,plain,
    ( difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),quotient(product(a,product(b,c)),product(a,c))))
    | difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = product(product(a,c),product(product(a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,c)),product(a,b)) )],[refute_0_366,refute_0_17156]) ).

cnf(refute_0_17158,plain,
    difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = product(product(a,c),product(product(a,c),product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),quotient(product(a,product(b,c)),product(a,c))))) )],[refute_0_17155,refute_0_17157]) ).

cnf(refute_0_17159,plain,
    difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)))]]) ).

cnf(refute_0_17160,plain,
    ( difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != difference(product(product(a,product(b,c)),product(a,c)),product(a,c))
    | product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = difference(product(a,product(product(b,c),c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),difference(product(product(a,product(b,c)),product(a,c)),product(a,c))) ),[1,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_17161,plain,
    ( product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = difference(product(a,product(product(b,c),c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),difference(product(product(a,product(b,c)),product(a,c)),product(a,c))) )],[refute_0_17159,refute_0_17160]) ).

cnf(refute_0_17162,plain,
    difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) = difference(product(a,product(product(b,c),c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_17161]) ).

cnf(refute_0_17163,plain,
    ( difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != difference(product(a,product(product(b,c),c)),product(a,c))
    | difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),product(a,b)))
    | difference(product(a,product(product(b,c),c)),product(a,c)) = product(product(a,c),product(product(a,c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),product(a,b)))) ),[0],$fot(difference(product(a,product(product(b,c),c)),product(a,c)))]]) ).

cnf(refute_0_17164,plain,
    ( difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),product(a,b)))
    | difference(product(a,product(product(b,c),c)),product(a,c)) = product(product(a,c),product(product(a,c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),difference(product(a,product(product(b,c),c)),product(a,c))) )],[refute_0_17162,refute_0_17163]) ).

cnf(refute_0_17165,plain,
    product(product(a,c),product(product(a,c),product(a,b))) = product(product(a,c),product(product(a,c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(a,c),product(product(a,c),product(a,b))))]]) ).

cnf(refute_0_17166,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | product(product(a,c),product(product(a,c),product(a,b))) != product(product(a,c),product(product(a,c),product(a,b)))
    | product(product(a,c),product(product(a,c),product(a,b))) = product(product(a,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(a,c),product(a,b))),product(product(a,c),product(product(a,c),product(a,b)))) ),[1,1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_17167,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | product(product(a,c),product(product(a,c),product(a,b))) = product(product(a,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,c),product(a,b))),product(product(a,c),product(product(a,c),product(a,b)))) )],[refute_0_17165,refute_0_17166]) ).

cnf(refute_0_17168,plain,
    product(product(a,c),product(product(a,c),product(a,b))) = product(product(a,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_17167]) ).

cnf(refute_0_17169,plain,
    ( product(product(a,c),product(a,product(c,b))) != product(a,product(c,product(c,b)))
    | product(product(a,c),product(product(a,c),product(a,b))) != product(product(a,c),product(a,product(c,b)))
    | product(product(a,c),product(product(a,c),product(a,b))) = product(a,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(product(a,c),product(a,b))))),bind(Y,$fot(product(product(a,c),product(a,product(c,b))))),bind(Z,$fot(product(a,product(c,product(c,b)))))]]) ).

cnf(refute_0_17170,plain,
    ( product(product(a,c),product(a,product(c,b))) != product(a,product(c,product(c,b)))
    | product(product(a,c),product(product(a,c),product(a,b))) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,c),product(a,b))),product(product(a,c),product(a,product(c,b)))) )],[refute_0_17168,refute_0_17169]) ).

cnf(refute_0_17171,plain,
    product(product(a,c),product(product(a,c),product(a,b))) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,product(c,b))),product(a,product(c,product(c,b)))) )],[refute_0_3730,refute_0_17170]) ).

cnf(refute_0_17172,plain,
    ( difference(product(a,product(product(b,c),c)),product(a,c)) != product(product(a,c),product(product(a,c),product(a,b)))
    | product(product(a,c),product(product(a,c),product(a,b))) != product(a,product(c,product(c,b)))
    | difference(product(a,product(product(b,c),c)),product(a,c)) = product(a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(product(b,c),c)),product(a,c)),product(a,product(c,product(c,b)))) ),[0],$fot(product(product(a,c),product(product(a,c),product(a,b))))]]) ).

cnf(refute_0_17173,plain,
    ( difference(product(a,product(product(b,c),c)),product(a,c)) != product(product(a,c),product(product(a,c),product(a,b)))
    | difference(product(a,product(product(b,c),c)),product(a,c)) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,c),product(a,b))),product(a,product(c,product(c,b)))) )],[refute_0_17171,refute_0_17172]) ).

cnf(refute_0_17174,plain,
    ( difference(product(product(a,product(b,c)),product(a,c)),product(a,c)) != product(product(a,c),product(product(a,c),product(a,b)))
    | difference(product(a,product(product(b,c),c)),product(a,c)) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(product(b,c),c)),product(a,c)),product(product(a,c),product(product(a,c),product(a,b)))) )],[refute_0_17164,refute_0_17173]) ).

cnf(refute_0_17175,plain,
    difference(product(a,product(product(b,c),c)),product(a,c)) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),product(a,c)),product(a,c)),product(product(a,c),product(product(a,c),product(a,b)))) )],[refute_0_17158,refute_0_17174]) ).

cnf(refute_0_17176,plain,
    difference(product(a,product(product(b,c),c)),product(a,c)) = difference(product(a,product(product(b,c),c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(a,product(product(b,c),c)),product(a,c)))]]) ).

cnf(refute_0_17177,plain,
    ( difference(product(a,product(product(b,c),c)),product(a,c)) != difference(product(a,product(product(b,c),c)),product(a,c))
    | product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(product(a,product(product(b,c),c)),product(a,c)) = difference(product(bigC(a,a,c),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(product(b,c),c)),product(a,c)),difference(product(a,product(product(b,c),c)),product(a,c))) ),[1,0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_17178,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | difference(product(a,product(product(b,c),c)),product(a,c)) = difference(product(bigC(a,a,c),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(product(b,c),c)),product(a,c)),difference(product(a,product(product(b,c),c)),product(a,c))) )],[refute_0_17176,refute_0_17177]) ).

cnf(refute_0_17179,plain,
    difference(product(a,product(product(b,c),c)),product(a,c)) = difference(product(bigC(a,a,c),c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_17178]) ).

cnf(refute_0_17180,plain,
    ( difference(product(a,product(product(b,c),c)),product(a,c)) != difference(product(bigC(a,a,c),c),product(a,c))
    | difference(product(a,product(product(b,c),c)),product(a,c)) != product(a,product(c,product(c,b)))
    | difference(product(bigC(a,a,c),c),product(a,c)) = product(a,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(product(b,c),c)),product(a,c)),product(a,product(c,product(c,b)))) ),[0],$fot(difference(product(bigC(a,a,c),c),product(a,c)))]]) ).

cnf(refute_0_17181,plain,
    ( difference(product(a,product(product(b,c),c)),product(a,c)) != product(a,product(c,product(c,b)))
    | difference(product(bigC(a,a,c),c),product(a,c)) = product(a,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(product(b,c),c)),product(a,c)),difference(product(bigC(a,a,c),c),product(a,c))) )],[refute_0_17179,refute_0_17180]) ).

cnf(refute_0_17182,plain,
    difference(product(bigC(a,a,c),c),product(a,c)) = product(a,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(a,product(product(b,c),c)),product(a,c)),product(a,product(c,product(c,b)))) )],[refute_0_17175,refute_0_17181]) ).

cnf(refute_0_17183,plain,
    difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) = difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))))]]) ).

cnf(refute_0_17184,plain,
    ( difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) != difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c)))
    | difference(product(bigC(a,a,c),c),product(a,c)) != product(a,product(c,product(c,b)))
    | difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) = difference(product(a,c),product(a,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c)))) ),[1,1],$fot(product(a,product(c,product(c,b))))]]) ).

cnf(refute_0_17185,plain,
    ( difference(product(bigC(a,a,c),c),product(a,c)) != product(a,product(c,product(c,b)))
    | difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) = difference(product(a,c),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c)))) )],[refute_0_17183,refute_0_17184]) ).

cnf(refute_0_17186,plain,
    difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) = difference(product(a,c),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),c),product(a,c)),product(a,product(c,product(c,b)))) )],[refute_0_17182,refute_0_17185]) ).

cnf(refute_0_17187,plain,
    product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) = product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17188,plain,
    ( difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) != difference(product(a,c),product(a,product(c,product(c,b))))
    | product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) != product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c))
    | product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)),product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c))) ),[1,0],$fot(difference(product(a,c),product(a,product(c,product(c,b)))))]]) ).

cnf(refute_0_17189,plain,
    ( difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))) != difference(product(a,c),product(a,product(c,product(c,b))))
    | product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)),product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c))) )],[refute_0_17187,refute_0_17188]) ).

cnf(refute_0_17190,plain,
    product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),difference(product(a,c),product(a,product(c,product(c,b))))) )],[refute_0_17186,refute_0_17189]) ).

cnf(refute_0_17191,plain,
    product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) = product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(product(bigC(a,a,c),c))),bind(X_15,$fot(product(a,c)))]]) ).

cnf(refute_0_17192,plain,
    ( product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) != product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c))
    | product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))))),bind(Y,$fot(product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)))),bind(Z,$fot(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_17193,plain,
    ( product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))),product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c))) )],[refute_0_17191,refute_0_17192]) ).

cnf(refute_0_17194,plain,
    product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),difference(product(bigC(a,a,c),c),product(a,c))),product(bigC(a,a,c),c)),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) )],[refute_0_17190,refute_0_17193]) ).

cnf(refute_0_17195,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(a,bigC(b,b,product(c,a))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,bigC(b,b,product(c,a))),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) ),[0],$fot(product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))))]]) ).

cnf(refute_0_17196,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | product(a,bigC(b,b,product(c,a))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c))),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) )],[refute_0_17194,refute_0_17195]) ).

cnf(refute_0_17197,plain,
    ( quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))) != product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))
    | product(a,bigC(b,b,product(c,a))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))) )],[refute_0_17154,refute_0_17196]) ).

cnf(refute_0_17198,plain,
    product(a,bigC(b,b,product(c,a))) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(bigC(a,a,c),c),product(a,c)),product(product(a,product(b,c)),product(bigC(a,a,c),c))),product(product(product(a,c),quotient(product(bigC(a,a,c),c),product(a,c))),quotient(product(bigC(a,a,c),c),product(a,c)))) )],[refute_0_16979,refute_0_17197]) ).

cnf(refute_0_17199,plain,
    bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(c,B),product(difference(product(a,c),difference(c,product(a,c))),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(difference(product(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_17200,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(product(c,B),product(difference(product(a,c),difference(c,product(a,c))),c))
    | product(difference(product(a,c),difference(c,product(a,c))),c) != product(product(a,c),b)
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(c,B),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(product(c,B),product(difference(product(a,c),difference(c,product(a,c))),c))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_17201,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(product(c,B),product(difference(product(a,c),difference(c,product(a,c))),c))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(c,B),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),difference(c,product(a,c))),c),product(product(a,c),b)) )],[refute_0_14379,refute_0_17200]) ).

cnf(refute_0_17202,plain,
    bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(c,B),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(product(c,B),product(difference(product(a,c),difference(c,product(a,c))),c))) )],[refute_0_17199,refute_0_17201]) ).

cnf(refute_0_17203,plain,
    product(bigC(c,c,a),product(B,b)) = product(bigC(c,c,a),product(B,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,a),product(B,b)))]]) ).

cnf(refute_0_17204,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(B,b)) != product(bigC(c,c,a),product(B,b))
    | product(bigC(c,c,a),product(B,b)) = product(bigC(a,a,b),product(B,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,a),product(B,b)),product(bigC(c,c,a),product(B,b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_17205,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(bigC(c,c,a),product(B,b)) = product(bigC(a,a,b),product(B,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(B,b)),product(bigC(c,c,a),product(B,b))) )],[refute_0_17203,refute_0_17204]) ).

cnf(refute_0_17206,plain,
    product(bigC(c,c,a),product(B,b)) = product(bigC(a,a,b),product(B,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_17205]) ).

cnf(refute_0_17207,plain,
    product(product(c,B),product(product(a,c),b)) = product(bigC(c,c,a),product(B,b)),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(c)),bind(D,$fot(b)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_17208,plain,
    ( product(bigC(c,c,a),product(B,b)) != product(bigC(a,a,b),product(B,b))
    | product(product(c,B),product(product(a,c),b)) != product(bigC(c,c,a),product(B,b))
    | product(product(c,B),product(product(a,c),b)) = product(bigC(a,a,b),product(B,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,B),product(product(a,c),b)))),bind(Y,$fot(product(bigC(c,c,a),product(B,b)))),bind(Z,$fot(product(bigC(a,a,b),product(B,b))))]]) ).

cnf(refute_0_17209,plain,
    ( product(bigC(c,c,a),product(B,b)) != product(bigC(a,a,b),product(B,b))
    | product(product(c,B),product(product(a,c),b)) = product(bigC(a,a,b),product(B,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,c),b)),product(bigC(c,c,a),product(B,b))) )],[refute_0_17207,refute_0_17208]) ).

cnf(refute_0_17210,plain,
    product(product(c,B),product(product(a,c),b)) = product(bigC(a,a,b),product(B,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),product(B,b)),product(bigC(a,a,b),product(B,b))) )],[refute_0_17206,refute_0_17209]) ).

cnf(refute_0_17211,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(product(c,B),product(product(a,c),b))
    | product(product(c,B),product(product(a,c),b)) != product(bigC(a,a,b),product(B,b))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(bigC(a,a,b),product(B,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(bigC(a,a,b),product(B,b))) ),[0],$fot(product(product(c,B),product(product(a,c),b)))]]) ).

cnf(refute_0_17212,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(product(c,B),product(product(a,c),b))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(bigC(a,a,b),product(B,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,c),b)),product(bigC(a,a,b),product(B,b))) )],[refute_0_17210,refute_0_17211]) ).

cnf(refute_0_17213,plain,
    bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(bigC(a,a,b),product(B,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(product(c,B),product(product(a,c),b))) )],[refute_0_17202,refute_0_17212]) ).

cnf(refute_0_17214,plain,
    product(product(a,B),bigC(c,b,c)) = product(product(a,B),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,B),bigC(c,b,c)))]]) ).

cnf(refute_0_17215,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(product(a,B),bigC(c,b,c)) != product(product(a,B),bigC(c,b,c))
    | product(product(a,B),bigC(c,b,c)) = product(product(a,B),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),bigC(c,b,c)),product(product(a,B),bigC(c,b,c))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_17216,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(product(a,B),bigC(c,b,c)) = product(product(a,B),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),bigC(c,b,c)),product(product(a,B),bigC(c,b,c))) )],[refute_0_17214,refute_0_17215]) ).

cnf(refute_0_17217,plain,
    product(product(a,B),bigC(c,b,c)) = product(product(a,B),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_17216]) ).

cnf(refute_0_17218,plain,
    product(product(a,product(c,b)),product(B,c)) = product(product(a,B),bigC(c,b,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(a)),bind(C,$fot(B)),bind(D,$fot(c)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_17219,plain,
    ( product(product(a,B),bigC(c,b,c)) != product(product(a,B),bigC(a,b,b))
    | product(product(a,product(c,b)),product(B,c)) != product(product(a,B),bigC(c,b,c))
    | product(product(a,product(c,b)),product(B,c)) = product(product(a,B),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,b)),product(B,c)))),bind(Y,$fot(product(product(a,B),bigC(c,b,c)))),bind(Z,$fot(product(product(a,B),bigC(a,b,b))))]]) ).

cnf(refute_0_17220,plain,
    ( product(product(a,B),bigC(c,b,c)) != product(product(a,B),bigC(a,b,b))
    | product(product(a,product(c,b)),product(B,c)) = product(product(a,B),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(B,c)),product(product(a,B),bigC(c,b,c))) )],[refute_0_17218,refute_0_17219]) ).

cnf(refute_0_17221,plain,
    product(product(a,product(c,b)),product(B,c)) = product(product(a,B),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(a,B),bigC(c,b,c)),product(product(a,B),bigC(a,b,b))) )],[refute_0_17217,refute_0_17220]) ).

cnf(refute_0_17222,plain,
    bigC(c,B,difference(c,product(a,product(c,b)))) = product(product(a,product(c,b)),product(B,c)),
    inference(subst,[],[refute_0_777:[bind(B,$fot(product(a,product(c,b)))),bind(X_21,$fot(c)),bind(X_23,$fot(B))]]) ).

cnf(refute_0_17223,plain,
    ( bigC(c,B,difference(c,product(a,product(c,b)))) != product(product(a,product(c,b)),product(B,c))
    | product(product(a,product(c,b)),product(B,c)) != product(product(a,B),bigC(a,b,b))
    | bigC(c,B,difference(c,product(a,product(c,b)))) = product(product(a,B),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,B,difference(c,product(a,product(c,b)))))),bind(Y,$fot(product(product(a,product(c,b)),product(B,c)))),bind(Z,$fot(product(product(a,B),bigC(a,b,b))))]]) ).

cnf(refute_0_17224,plain,
    ( product(product(a,product(c,b)),product(B,c)) != product(product(a,B),bigC(a,b,b))
    | bigC(c,B,difference(c,product(a,product(c,b)))) = product(product(a,B),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(c,product(a,product(c,b)))),product(product(a,product(c,b)),product(B,c))) )],[refute_0_17222,refute_0_17223]) ).

cnf(refute_0_17225,plain,
    bigC(c,B,difference(c,product(a,product(c,b)))) = product(product(a,B),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(B,c)),product(product(a,B),bigC(a,b,b))) )],[refute_0_17221,refute_0_17224]) ).

cnf(refute_0_17226,plain,
    bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))))]]) ).

cnf(refute_0_17227,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != bigC(c,B,difference(product(a,c),difference(c,product(a,c))))
    | difference(product(a,c),difference(c,product(a,c))) != difference(c,product(a,product(c,b)))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = bigC(c,B,difference(c,product(a,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),bigC(c,B,difference(product(a,c),difference(c,product(a,c))))) ),[1,2],$fot(difference(c,product(a,product(c,b))))]]) ).

cnf(refute_0_17228,plain,
    ( difference(product(a,c),difference(c,product(a,c))) != difference(c,product(a,product(c,b)))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = bigC(c,B,difference(c,product(a,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),bigC(c,B,difference(product(a,c),difference(c,product(a,c))))) )],[refute_0_17226,refute_0_17227]) ).

cnf(refute_0_17229,plain,
    bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = bigC(c,B,difference(c,product(a,product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),difference(c,product(a,c))),difference(c,product(a,product(c,b)))) )],[refute_0_15231,refute_0_17228]) ).

cnf(refute_0_17230,plain,
    ( bigC(c,B,difference(c,product(a,product(c,b)))) != product(product(a,B),bigC(a,b,b))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != bigC(c,B,difference(c,product(a,product(c,b))))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(a,B),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))))),bind(Y,$fot(bigC(c,B,difference(c,product(a,product(c,b)))))),bind(Z,$fot(product(product(a,B),bigC(a,b,b))))]]) ).

cnf(refute_0_17231,plain,
    ( bigC(c,B,difference(c,product(a,product(c,b)))) != product(product(a,B),bigC(a,b,b))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(a,B),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),bigC(c,B,difference(c,product(a,product(c,b))))) )],[refute_0_17229,refute_0_17230]) ).

cnf(refute_0_17232,plain,
    bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) = product(product(a,B),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(c,product(a,product(c,b)))),product(product(a,B),bigC(a,b,b))) )],[refute_0_17225,refute_0_17231]) ).

cnf(refute_0_17233,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(bigC(a,a,b),product(B,b))
    | bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(product(a,B),bigC(a,b,b))
    | product(product(a,B),bigC(a,b,b)) = product(bigC(a,a,b),product(B,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(bigC(a,a,b),product(B,b))) ),[0],$fot(product(product(a,B),bigC(a,b,b)))]]) ).

cnf(refute_0_17234,plain,
    ( bigC(c,B,difference(product(a,c),difference(c,product(a,c)))) != product(bigC(a,a,b),product(B,b))
    | product(product(a,B),bigC(a,b,b)) = product(bigC(a,a,b),product(B,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(product(a,B),bigC(a,b,b))) )],[refute_0_17232,refute_0_17233]) ).

cnf(refute_0_17235,plain,
    product(product(a,B),bigC(a,b,b)) = product(bigC(a,a,b),product(B,b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(product(a,c),difference(c,product(a,c)))),product(bigC(a,a,b),product(B,b))) )],[refute_0_17213,refute_0_17234]) ).

cnf(refute_0_17236,plain,
    product(product(a,bigC(a,a,c)),bigC(a,b,b)) = product(bigC(a,a,b),product(bigC(a,a,c),b)),
    inference(subst,[],[refute_0_17235:[bind(B,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_17237,plain,
    product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(product(a,bigC(a,a,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,a,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_17238,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(product(a,bigC(a,a,c)),bigC(c,b,c)) != product(product(a,bigC(a,a,c)),bigC(c,b,c))
    | product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(product(a,bigC(a,a,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(c,b,c)),product(product(a,bigC(a,a,c)),bigC(c,b,c))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_17239,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(product(a,bigC(a,a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(c,b,c)),product(product(a,bigC(a,a,c)),bigC(c,b,c))) )],[refute_0_17237,refute_0_17238]) ).

cnf(refute_0_17240,plain,
    product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(product(a,bigC(a,a,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_17239]) ).

cnf(refute_0_17241,plain,
    ( product(product(a,bigC(a,a,c)),bigC(a,b,b)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(product(a,bigC(a,a,c)),bigC(c,b,c)) != product(product(a,bigC(a,a,c)),bigC(a,b,b))
    | product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(a,a,c)),bigC(c,b,c)))),bind(Y,$fot(product(product(a,bigC(a,a,c)),bigC(a,b,b)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_17242,plain,
    ( product(product(a,bigC(a,a,c)),bigC(a,b,b)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(c,b,c)),product(product(a,bigC(a,a,c)),bigC(a,b,b))) )],[refute_0_17240,refute_0_17241]) ).

cnf(refute_0_17243,plain,
    product(product(a,bigC(a,a,c)),bigC(c,b,c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(a,b,b)),product(bigC(a,a,b),product(bigC(a,a,c),b))) )],[refute_0_17236,refute_0_17242]) ).

cnf(refute_0_17244,plain,
    product(product(a,product(c,b)),product(bigC(a,a,c),c)) = product(product(a,bigC(a,a,c)),bigC(c,b,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(a)),bind(C,$fot(bigC(a,a,c))),bind(D,$fot(c)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_17245,plain,
    ( product(product(a,bigC(a,a,c)),bigC(c,b,c)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(product(a,product(c,b)),product(bigC(a,a,c),c)) != product(product(a,bigC(a,a,c)),bigC(c,b,c))
    | product(product(a,product(c,b)),product(bigC(a,a,c),c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,b)),product(bigC(a,a,c),c)))),bind(Y,$fot(product(product(a,bigC(a,a,c)),bigC(c,b,c)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_17246,plain,
    ( product(product(a,bigC(a,a,c)),bigC(c,b,c)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(product(a,product(c,b)),product(bigC(a,a,c),c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(bigC(a,a,c),c)),product(product(a,bigC(a,a,c)),bigC(c,b,c))) )],[refute_0_17244,refute_0_17245]) ).

cnf(refute_0_17247,plain,
    product(product(a,product(c,b)),product(bigC(a,a,c),c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,c)),bigC(c,b,c)),product(bigC(a,a,b),product(bigC(a,a,c),b))) )],[refute_0_17243,refute_0_17246]) ).

cnf(refute_0_17248,plain,
    quotient(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(bigC(a,a,c),c)) = difference(product(a,c),product(a,product(c,product(c,b)))),
    inference(subst,[],[sos03:[bind(A,$fot(difference(product(a,c),product(a,product(c,product(c,b)))))),bind(B,$fot(product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17249,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(b,b,product(c,a))))),bind(Y,$fot(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))))]]) ).

cnf(refute_0_17250,plain,
    product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) )],[refute_0_17198,refute_0_17249]) ).

cnf(refute_0_17251,plain,
    ( product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) != product(a,bigC(b,b,product(c,a)))
    | quotient(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(bigC(a,a,c),c)) != difference(product(a,c),product(a,product(c,product(c,b))))
    | quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) = difference(product(a,c),product(a,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(bigC(a,a,c),c)),difference(product(a,c),product(a,product(c,product(c,b))))) ),[0,0],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_17252,plain,
    ( quotient(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(bigC(a,a,c),c)) != difference(product(a,c),product(a,product(c,product(c,b))))
    | quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) = difference(product(a,c),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(a,bigC(b,b,product(c,a)))) )],[refute_0_17250,refute_0_17251]) ).

cnf(refute_0_17253,plain,
    quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) = difference(product(a,c),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(bigC(a,a,c),c)),difference(product(a,c),product(a,product(c,product(c,b))))) )],[refute_0_17248,refute_0_17252]) ).

cnf(refute_0_17254,plain,
    quotient(product(a,bigC(c,b,product(b,c))),difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))) = product(a,product(c,b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,bigC(c,b,product(b,c))))),bind(X_6,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_17255,plain,
    difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,product(b,c)))) = product(product(a,product(b,c)),product(a,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_17256,plain,
    ( product(a,bigC(c,product(b,c),b)) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | product(a,bigC(c,product(b,c),b)) != product(a,bigC(c,b,product(b,c)))
    | product(a,bigC(c,b,product(b,c))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),bigC(product(a,c),product(a,product(b,c)),product(a,b))) ),[0],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_17257,plain,
    ( product(a,bigC(c,product(b,c),b)) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | product(a,bigC(c,b,product(b,c))) = bigC(product(a,c),product(a,product(b,c)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),product(a,bigC(c,b,product(b,c)))) )],[refute_0_2957,refute_0_17256]) ).

cnf(refute_0_17258,plain,
    bigC(product(a,c),product(a,product(b,c)),product(a,b)) = bigC(product(a,c),product(a,b),product(a,product(b,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(product(a,b))),bind(C,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_17259,plain,
    ( bigC(product(a,c),product(a,product(b,c)),product(a,b)) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(c,b,product(b,c))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | product(a,bigC(c,b,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) ),[1],$fot(bigC(product(a,c),product(a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_17260,plain,
    ( product(a,bigC(c,b,product(b,c))) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | product(a,bigC(c,b,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,product(b,c)),product(a,b)),bigC(product(a,c),product(a,b),product(a,product(b,c)))) )],[refute_0_17258,refute_0_17259]) ).

cnf(refute_0_17261,plain,
    ( product(a,bigC(c,product(b,c),b)) != bigC(product(a,c),product(a,product(b,c)),product(a,b))
    | product(a,bigC(c,b,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),bigC(product(a,c),product(a,product(b,c)),product(a,b))) )],[refute_0_17257,refute_0_17260]) ).

cnf(refute_0_17262,plain,
    product(a,bigC(c,b,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,product(b,c),b)),bigC(product(a,c),product(a,product(b,c)),product(a,b))) )],[refute_0_2995,refute_0_17261]) ).

cnf(refute_0_17263,plain,
    ( product(a,bigC(c,b,product(b,c))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | bigC(product(a,c),product(a,b),product(a,product(b,c))) = product(a,bigC(c,b,product(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(c,b,product(b,c))))),bind(Y,$fot(bigC(product(a,c),product(a,b),product(a,product(b,c)))))]]) ).

cnf(refute_0_17264,plain,
    bigC(product(a,c),product(a,b),product(a,product(b,c))) = product(a,bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) )],[refute_0_17262,refute_0_17263]) ).

cnf(refute_0_17265,plain,
    ( bigC(product(a,c),product(a,b),product(a,product(b,c))) != product(a,bigC(c,b,product(b,c)))
    | difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,product(b,c)))),product(product(a,product(b,c)),product(a,c))) ),[0,1],$fot(product(a,bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_17266,plain,
    ( difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(a,product(b,c))),product(a,bigC(c,b,product(b,c)))) )],[refute_0_17264,refute_0_17265]) ).

cnf(refute_0_17267,plain,
    difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = product(product(a,product(b,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),bigC(product(a,c),product(a,b),product(a,product(b,c)))),product(product(a,product(b,c)),product(a,c))) )],[refute_0_17255,refute_0_17266]) ).

cnf(refute_0_17268,plain,
    difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_17269,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) != difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c))))
    | product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))),difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c))))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_17270,plain,
    ( product(product(a,c),product(a,b)) != product(a,product(c,b))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))),difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c))))) )],[refute_0_17268,refute_0_17269]) ).

cnf(refute_0_17271,plain,
    difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) = difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(a,b)),product(a,product(c,b))) )],[refute_0_533,refute_0_17270]) ).

cnf(refute_0_17272,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) != difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))
    | difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) = product(product(a,product(b,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))),product(product(a,product(b,c)),product(a,c))) ),[0],$fot(difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))))]]) ).

cnf(refute_0_17273,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) = product(product(a,product(b,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))),difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))) )],[refute_0_17271,refute_0_17272]) ).

cnf(refute_0_17274,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | product(product(a,product(b,c)),product(a,c)) != product(a,product(product(b,c),c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) = product(a,product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))),product(a,product(product(b,c),c))) ),[0],$fot(product(product(a,product(b,c)),product(a,c)))]]) ).

cnf(refute_0_17275,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,c)),product(a,product(product(b,c),c))) )],[refute_0_2695,refute_0_17274]) ).

cnf(refute_0_17276,plain,
    ( difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))) != product(product(a,product(b,c)),product(a,c))
    | difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) = product(a,product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))),product(product(a,product(b,c)),product(a,c))) )],[refute_0_17273,refute_0_17275]) ).

cnf(refute_0_17277,plain,
    difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) = product(a,product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),product(a,b)),product(a,bigC(c,b,product(b,c)))),product(product(a,product(b,c)),product(a,c))) )],[refute_0_17267,refute_0_17276]) ).

cnf(refute_0_17278,plain,
    ( difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))) != product(a,product(product(b,c),c))
    | quotient(product(a,bigC(c,b,product(b,c))),difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))) != product(a,product(c,b))
    | quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))),product(a,product(c,b))) ),[0,1],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_17279,plain,
    ( quotient(product(a,bigC(c,b,product(b,c))),difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))) != product(a,product(c,b))
    | quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c)))),product(a,product(product(b,c),c))) )],[refute_0_17277,refute_0_17278]) ).

cnf(refute_0_17280,plain,
    quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),difference(product(a,product(c,b)),product(a,bigC(c,b,product(b,c))))),product(a,product(c,b))) )],[refute_0_17254,refute_0_17279]) ).

cnf(refute_0_17281,plain,
    quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))),
    introduced(tautology,[refl,[$fot(quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))))]]) ).

cnf(refute_0_17282,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) != quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c)))
    | quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))),quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c)))) ),[1,1],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_17283,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))),quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c)))) )],[refute_0_17281,refute_0_17282]) ).

cnf(refute_0_17284,plain,
    quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) = quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_17283]) ).

cnf(refute_0_17285,plain,
    ( quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) != product(a,product(c,b))
    | quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) != quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c))
    | quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))),product(a,product(c,b))) ),[0],$fot(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17286,plain,
    ( quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))) != product(a,product(c,b))
    | quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))),quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c))) )],[refute_0_17284,refute_0_17285]) ).

cnf(refute_0_17287,plain,
    quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(a,product(product(b,c),c))),product(a,product(c,b))) )],[refute_0_17280,refute_0_17286]) ).

cnf(refute_0_17288,plain,
    quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17289,plain,
    ( product(a,bigC(c,b,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) != quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c))
    | quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c))) ),[1,0],$fot(product(a,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_17290,plain,
    ( product(a,bigC(c,b,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c))) )],[refute_0_17288,refute_0_17289]) ).

cnf(refute_0_17291,plain,
    quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_13178,refute_0_17290]) ).

cnf(refute_0_17292,plain,
    ( quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) != product(a,product(c,b))
    | quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) != quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c))
    | quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),product(a,product(c,b))) ),[0],$fot(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17293,plain,
    ( quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)) != product(a,product(c,b))
    | quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c))) )],[refute_0_17291,refute_0_17292]) ).

cnf(refute_0_17294,plain,
    quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(c,b,product(b,c))),product(bigC(a,a,c),c)),product(a,product(c,b))) )],[refute_0_17287,refute_0_17293]) ).

cnf(refute_0_17295,plain,
    quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17296,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) != quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c))
    | quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c))) ),[1,0],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_17297,plain,
    ( product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c))) )],[refute_0_17295,refute_0_17296]) ).

cnf(refute_0_17298,plain,
    quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) = quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_12703,refute_0_17297]) ).

cnf(refute_0_17299,plain,
    ( quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) != product(a,product(c,b))
    | quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) != quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c))
    | quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),product(a,product(c,b))) ),[0],$fot(quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17300,plain,
    ( quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)) != product(a,product(c,b))
    | quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c))) )],[refute_0_17298,refute_0_17299]) ).

cnf(refute_0_17301,plain,
    quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,c,product(b,c))),product(bigC(a,a,c),c)),product(a,product(c,b))) )],[refute_0_17294,refute_0_17300]) ).

cnf(refute_0_17302,plain,
    ( quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) != difference(product(a,c),product(a,product(c,product(c,b))))
    | quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) != product(a,product(c,b))
    | product(a,product(c,b)) = difference(product(a,c),product(a,product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)),difference(product(a,c),product(a,product(c,product(c,b))))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_17303,plain,
    ( quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)) != difference(product(a,c),product(a,product(c,product(c,b))))
    | product(a,product(c,b)) = difference(product(a,c),product(a,product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)),product(a,product(c,b))) )],[refute_0_17301,refute_0_17302]) ).

cnf(refute_0_17304,plain,
    product(a,product(c,b)) = difference(product(a,c),product(a,product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,c),c)),difference(product(a,c),product(a,product(c,product(c,b))))) )],[refute_0_17253,refute_0_17303]) ).

cnf(refute_0_17305,plain,
    ( product(a,product(c,b)) != difference(product(a,c),product(a,product(c,product(c,b))))
    | difference(product(a,c),product(a,product(c,product(c,b)))) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(difference(product(a,c),product(a,product(c,product(c,b))))))]]) ).

cnf(refute_0_17306,plain,
    difference(product(a,c),product(a,product(c,product(c,b)))) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),difference(product(a,c),product(a,product(c,product(c,b))))) )],[refute_0_17304,refute_0_17305]) ).

cnf(refute_0_17307,plain,
    product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17308,plain,
    ( difference(product(a,c),product(a,product(c,product(c,b)))) != product(a,product(c,b))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(product(a,product(c,b)),product(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_17309,plain,
    ( difference(product(a,c),product(a,product(c,product(c,b)))) != product(a,product(c,b))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(product(a,product(c,b)),product(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) )],[refute_0_17307,refute_0_17308]) ).

cnf(refute_0_17310,plain,
    product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(product(a,product(c,b)),product(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(c,product(c,b)))),product(a,product(c,b))) )],[refute_0_17306,refute_0_17309]) ).

cnf(refute_0_17311,plain,
    ( product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) != product(product(a,product(c,b)),product(bigC(a,a,c),c))
    | product(product(a,product(c,b)),product(bigC(a,a,c),c)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)))),bind(Y,$fot(product(product(a,product(c,b)),product(bigC(a,a,c),c)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_17312,plain,
    ( product(product(a,product(c,b)),product(bigC(a,a,c),c)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(product(a,product(c,b)),product(bigC(a,a,c),c))) )],[refute_0_17310,refute_0_17311]) ).

cnf(refute_0_17313,plain,
    product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) = product(bigC(a,a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(bigC(a,a,c),c)),product(bigC(a,a,b),product(bigC(a,a,c),b))) )],[refute_0_17247,refute_0_17312]) ).

cnf(refute_0_17314,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(a,bigC(b,b,product(c,a))) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,b),product(bigC(a,a,c),b))) ),[0],$fot(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)))]]) ).

cnf(refute_0_17315,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))
    | product(a,bigC(b,b,product(c,a))) = product(bigC(a,a,b),product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c)),product(bigC(a,a,b),product(bigC(a,a,c),b))) )],[refute_0_17313,refute_0_17314]) ).

cnf(refute_0_17316,plain,
    product(a,bigC(b,b,product(c,a))) = product(bigC(a,a,b),product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),product(difference(product(a,c),product(a,product(c,product(c,b)))),product(bigC(a,a,c),c))) )],[refute_0_17198,refute_0_17315]) ).

cnf(refute_0_17317,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(bigC(a,a,b),product(bigC(a,a,c),b))
    | product(bigC(a,a,b),product(bigC(a,a,c),b)) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(b,b,product(c,a))))),bind(Y,$fot(product(bigC(a,a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_17318,plain,
    product(bigC(a,a,b),product(bigC(a,a,c),b)) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),product(bigC(a,a,b),product(bigC(a,a,c),b))) )],[refute_0_17316,refute_0_17317]) ).

cnf(refute_0_17319,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,c),b)) != product(a,bigC(b,b,product(c,a)))
    | quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[0,0,1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_17320,plain,
    ( quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) )],[refute_0_17318,refute_0_17319]) ).

cnf(refute_0_17321,plain,
    quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_16952,refute_0_17320]) ).

cnf(refute_0_17322,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b)))) = product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,b),b))),bind(X_16,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17323,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))))]]) ).

cnf(refute_0_17324,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_17325,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_17323,refute_0_17324]) ).

cnf(refute_0_17326,plain,
    quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_17325]) ).

cnf(refute_0_17327,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) ),[0],$fot(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))))]]) ).

cnf(refute_0_17328,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_17326,refute_0_17327]) ).

cnf(refute_0_17329,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))
    | product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))))),bind(Y,$fot(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)))),bind(Z,$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))))]]) ).

cnf(refute_0_17330,plain,
    ( product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b))) )],[refute_0_12840,refute_0_17329]) ).

cnf(refute_0_17331,plain,
    product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),product(a,b),bigC(c,a,b)),product(product(a,c),b)),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12874,refute_0_17330]) ).

cnf(refute_0_17332,plain,
    ( product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) ),[1],$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)))]]) ).

cnf(refute_0_17333,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_17331,refute_0_17332]) ).

cnf(refute_0_17334,plain,
    ( quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_17328,refute_0_17333]) ).

cnf(refute_0_17335,plain,
    quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(c,b)),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),bigC(c,b,a),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_12813,refute_0_17334]) ).

cnf(refute_0_17336,plain,
    ( product(bigC(c,a,a),b) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) = product(bigC(c,a,a),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(c,a,a),b))),bind(Y,$fot(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))))]]) ).

cnf(refute_0_17337,plain,
    product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) = product(bigC(c,a,a),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_12903,refute_0_17336]) ).

cnf(refute_0_17338,plain,
    ( product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)) != product(bigC(c,a,a),b)
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(c,a,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) ),[1],$fot(product(bigC(c,a,a),b))]]) ).

cnf(refute_0_17339,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(c,a,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b)),product(bigC(c,a,a),b)) )],[refute_0_17337,refute_0_17338]) ).

cnf(refute_0_17340,plain,
    quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = product(bigC(c,a,a),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(product(c,b),a,bigC(c,a,b)),product(product(product(a,b),c),b))) )],[refute_0_17335,refute_0_17339]) ).

cnf(refute_0_17341,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = quotient(product(c,b),product(product(c,b),product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(product(c,b),product(product(c,a),b))))]]) ).

cnf(refute_0_17342,plain,
    ( product(product(c,b),product(product(c,a),b)) != product(product(c,product(c,a)),b)
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != quotient(product(c,b),product(product(c,b),product(product(c,a),b)))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = quotient(product(c,b),product(product(c,product(c,a)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),quotient(product(c,b),product(product(c,b),product(product(c,a),b)))) ),[1,1],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_17343,plain,
    ( product(product(c,b),product(product(c,a),b)) != product(product(c,product(c,a)),b)
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = quotient(product(c,b),product(product(c,product(c,a)),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),quotient(product(c,b),product(product(c,b),product(product(c,a),b)))) )],[refute_0_17341,refute_0_17342]) ).

cnf(refute_0_17344,plain,
    quotient(product(c,b),product(product(c,b),product(product(c,a),b))) = quotient(product(c,b),product(product(c,product(c,a)),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,a),b)),product(product(c,product(c,a)),b)) )],[refute_0_4632,refute_0_17343]) ).

cnf(refute_0_17345,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != quotient(product(c,b),product(product(c,product(c,a)),b))
    | quotient(product(c,b),product(product(c,product(c,a)),b)) = product(product(product(a,b),c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(product(a,b),c),product(product(c,b),b))) ),[0],$fot(quotient(product(c,b),product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_17346,plain,
    ( quotient(product(c,b),product(product(c,b),product(product(c,a),b))) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,product(c,a)),b)) = product(product(product(a,b),c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),quotient(product(c,b),product(product(c,product(c,a)),b))) )],[refute_0_17344,refute_0_17345]) ).

cnf(refute_0_17347,plain,
    quotient(product(c,b),product(product(c,product(c,a)),b)) = product(product(product(a,b),c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(product(c,a),b))),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_1403,refute_0_17346]) ).

cnf(refute_0_17348,plain,
    quotient(product(c,b),product(product(c,product(c,a)),b)) = quotient(product(c,b),product(product(c,product(c,a)),b)),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_17349,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | quotient(product(c,b),product(product(c,product(c,a)),b)) != quotient(product(c,b),product(product(c,product(c,a)),b))
    | quotient(product(c,b),product(product(c,product(c,a)),b)) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,a)),b)),quotient(product(c,b),product(product(c,product(c,a)),b))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_17350,plain,
    ( product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | quotient(product(c,b),product(product(c,product(c,a)),b)) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,a)),b)),quotient(product(c,b),product(product(c,product(c,a)),b))) )],[refute_0_17348,refute_0_17349]) ).

cnf(refute_0_17351,plain,
    quotient(product(c,b),product(product(c,product(c,a)),b)) = quotient(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),b),product(c,bigC(b,b,c))) )],[refute_0_4652,refute_0_17350]) ).

cnf(refute_0_17352,plain,
    ( quotient(product(c,b),product(product(c,product(c,a)),b)) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(c,b),product(product(c,product(c,a)),b)) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(product(c,b),product(c,bigC(b,b,c))) = product(product(product(a,b),c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,a)),b)),product(product(product(a,b),c),product(product(c,b),b))) ),[0],$fot(quotient(product(c,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_17353,plain,
    ( quotient(product(c,b),product(product(c,product(c,a)),b)) != product(product(product(a,b),c),product(product(c,b),b))
    | quotient(product(c,b),product(c,bigC(b,b,c))) = product(product(product(a,b),c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,a)),b)),quotient(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_17351,refute_0_17352]) ).

cnf(refute_0_17354,plain,
    quotient(product(c,b),product(c,bigC(b,b,c))) = product(product(product(a,b),c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,a)),b)),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_17347,refute_0_17353]) ).

cnf(refute_0_17355,plain,
    ( quotient(product(c,b),product(c,bigC(b,b,c))) != product(product(product(a,b),c),product(product(c,b),b))
    | product(product(product(a,b),c),product(product(c,b),b)) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(c,b),product(c,bigC(b,b,c))))),bind(Y,$fot(product(product(product(a,b),c),product(product(c,b),b))))]]) ).

cnf(refute_0_17356,plain,
    product(product(product(a,b),c),product(product(c,b),b)) = quotient(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(c,bigC(b,b,c))),product(product(product(a,b),c),product(product(c,b),b))) )],[refute_0_17354,refute_0_17355]) ).

cnf(refute_0_17357,plain,
    quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))))]]) ).

cnf(refute_0_17358,plain,
    ( product(product(product(a,b),c),product(product(c,b),b)) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b)))) ),[1,1],$fot(quotient(product(c,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_17359,plain,
    ( product(product(product(a,b),c),product(product(c,b),b)) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b)))) )],[refute_0_17357,refute_0_17358]) ).

cnf(refute_0_17360,plain,
    quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) = quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(product(c,b),b)),quotient(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_17356,refute_0_17359]) ).

cnf(refute_0_17361,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(c,a,a),b)
    | quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c))))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(c,a,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(c,a,a),b)) ),[0],$fot(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_17362,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))) != product(bigC(c,a,a),b)
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(c,a,a),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_17360,refute_0_17361]) ).

cnf(refute_0_17363,plain,
    quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(c,a,a),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,b),c),product(product(c,b),b))),product(bigC(c,a,a),b)) )],[refute_0_17340,refute_0_17362]) ).

cnf(refute_0_17364,plain,
    ( product(bigC(c,a,a),b) != product(bigC(a,a,c),b)
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(c,a,a),b)
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),product(bigC(c,a,a),b)) ),[1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_17365,plain,
    ( quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(c,a,a),b)
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,a),b),product(bigC(a,a,c),b)) )],[refute_0_13009,refute_0_17364]) ).

cnf(refute_0_17366,plain,
    quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),product(bigC(c,a,a),b)) )],[refute_0_17363,refute_0_17365]) ).

cnf(refute_0_17367,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(b,a,b)))) = product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(b,a,b))),bind(X_16,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_17368,plain,
    ( product(product(product(a,c),b),bigC(b,a,b)) != product(c,b)
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(b,a,b)))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(b,a,b)))),product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))) ),[0,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_17369,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(b,a,b)))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(b,a,b)),product(c,b)) )],[refute_0_9177,refute_0_17368]) ).

cnf(refute_0_17370,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(b,a,b)))),product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17367,refute_0_17369]) ).

cnf(refute_0_17371,plain,
    product(product(a,b),bigC(b,c,b)) = product(product(a,b),bigC(b,c,b)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(b,c,b)))]]) ).

cnf(refute_0_17372,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(a,b),bigC(b,c,b)) != product(product(a,b),bigC(b,c,b))
    | product(product(a,b),bigC(b,c,b)) = product(product(a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(b,c,b)),product(product(a,b),bigC(b,c,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_17373,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(product(a,b),bigC(b,c,b)) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,c,b)),product(product(a,b),bigC(b,c,b))) )],[refute_0_17371,refute_0_17372]) ).

cnf(refute_0_17374,plain,
    product(product(a,b),bigC(b,c,b)) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_17373]) ).

cnf(refute_0_17375,plain,
    product(product(a,product(b,c)),product(b,b)) = product(product(a,b),bigC(b,c,b)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(a)),bind(C,$fot(b)),bind(D,$fot(b)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_17376,plain,
    product(product(product(a,c),b),product(c,b)) = product(product(a,product(b,c)),product(b,b)),
    inference(subst,[],[refute_0_15970:[bind(B,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_17377,plain,
    ( product(product(a,product(b,c)),product(b,b)) != product(product(a,b),bigC(b,c,b))
    | product(product(product(a,c),b),product(c,b)) != product(product(a,product(b,c)),product(b,b))
    | product(product(product(a,c),b),product(c,b)) = product(product(a,b),bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(c,b)))),bind(Y,$fot(product(product(a,product(b,c)),product(b,b)))),bind(Z,$fot(product(product(a,b),bigC(b,c,b))))]]) ).

cnf(refute_0_17378,plain,
    ( product(product(a,product(b,c)),product(b,b)) != product(product(a,b),bigC(b,c,b))
    | product(product(product(a,c),b),product(c,b)) = product(product(a,b),bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(a,product(b,c)),product(b,b))) )],[refute_0_17376,refute_0_17377]) ).

cnf(refute_0_17379,plain,
    product(product(product(a,c),b),product(c,b)) = product(product(a,b),bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(b,b)),product(product(a,b),bigC(b,c,b))) )],[refute_0_17375,refute_0_17378]) ).

cnf(refute_0_17380,plain,
    ( product(product(a,b),bigC(b,c,b)) != product(product(a,b),bigC(b,b,c))
    | product(product(product(a,c),b),product(c,b)) != product(product(a,b),bigC(b,c,b))
    | product(product(product(a,c),b),product(c,b)) = product(product(a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(c,b)))),bind(Y,$fot(product(product(a,b),bigC(b,c,b)))),bind(Z,$fot(product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_17381,plain,
    ( product(product(a,b),bigC(b,c,b)) != product(product(a,b),bigC(b,b,c))
    | product(product(product(a,c),b),product(c,b)) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(a,b),bigC(b,c,b))) )],[refute_0_17379,refute_0_17380]) ).

cnf(refute_0_17382,plain,
    product(product(product(a,c),b),product(c,b)) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,c,b)),product(product(a,b),bigC(b,b,c))) )],[refute_0_17374,refute_0_17381]) ).

cnf(refute_0_17383,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))))]]) ).

cnf(refute_0_17384,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(a,b),bigC(b,b,c))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))) ),[1,1],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_17385,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(a,b),bigC(b,b,c))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))) )],[refute_0_17383,refute_0_17384]) ).

cnf(refute_0_17386,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(a,b),bigC(b,b,c))) )],[refute_0_17382,refute_0_17385]) ).

cnf(refute_0_17387,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c)))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))) ),[0],$fot(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_17388,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c)))) )],[refute_0_17386,refute_0_17387]) ).

cnf(refute_0_17389,plain,
    bigC(c,product(b,c),a) = bigC(c,a,product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_17390,plain,
    bigC(c,difference(c,bigC(b,a,b)),X_23) = product(bigC(b,a,b),product(X_23,c)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(b,a,b))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_17391,plain,
    ( bigC(c,difference(c,bigC(b,a,b)),X_23) != product(bigC(b,a,b),product(X_23,c))
    | difference(c,bigC(b,a,b)) != product(b,c)
    | bigC(c,product(b,c),X_23) = product(bigC(b,a,b),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,bigC(b,a,b)),X_23),product(bigC(b,a,b),product(X_23,c))) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_17392,plain,
    ( bigC(c,difference(c,bigC(b,a,b)),X_23) != product(bigC(b,a,b),product(X_23,c))
    | bigC(c,product(b,c),X_23) = product(bigC(b,a,b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,a,b)),product(b,c)) )],[refute_0_706,refute_0_17391]) ).

cnf(refute_0_17393,plain,
    bigC(c,product(b,c),X_23) = product(bigC(b,a,b),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,bigC(b,a,b)),X_23),product(bigC(b,a,b),product(X_23,c))) )],[refute_0_17390,refute_0_17392]) ).

cnf(refute_0_17394,plain,
    ( bigC(c,product(b,c),X_23) != product(bigC(b,a,b),product(X_23,c))
    | product(bigC(b,a,b),product(X_23,c)) = bigC(c,product(b,c),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(b,c),X_23))),bind(Y,$fot(product(bigC(b,a,b),product(X_23,c))))]]) ).

cnf(refute_0_17395,plain,
    product(bigC(b,a,b),product(X_23,c)) = bigC(c,product(b,c),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_23),product(bigC(b,a,b),product(X_23,c))) )],[refute_0_17393,refute_0_17394]) ).

cnf(refute_0_17396,plain,
    product(bigC(b,a,b),product(a,c)) = bigC(c,product(b,c),a),
    inference(subst,[],[refute_0_17395:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_17397,plain,
    ( bigC(c,product(b,c),a) != bigC(c,a,product(b,c))
    | product(bigC(b,a,b),product(a,c)) != bigC(c,product(b,c),a)
    | product(bigC(b,a,b),product(a,c)) = bigC(c,a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),product(a,c)))),bind(Y,$fot(bigC(c,product(b,c),a))),bind(Z,$fot(bigC(c,a,product(b,c))))]]) ).

cnf(refute_0_17398,plain,
    ( bigC(c,product(b,c),a) != bigC(c,a,product(b,c))
    | product(bigC(b,a,b),product(a,c)) = bigC(c,a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,c)),bigC(c,product(b,c),a)) )],[refute_0_17396,refute_0_17397]) ).

cnf(refute_0_17399,plain,
    product(bigC(b,a,b),product(a,c)) = bigC(c,a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),a),bigC(c,a,product(b,c))) )],[refute_0_17389,refute_0_17398]) ).

cnf(refute_0_17400,plain,
    product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) = product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_17401,plain,
    ( product(bigC(b,a,b),product(a,c)) != bigC(c,a,product(b,c))
    | product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) != product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b))
    | product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)),product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b))) ),[1,0],$fot(bigC(c,a,product(b,c)))]]) ).

cnf(refute_0_17402,plain,
    ( product(bigC(b,a,b),product(a,c)) != bigC(c,a,product(b,c))
    | product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)),product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b))) )],[refute_0_17400,refute_0_17401]) ).

cnf(refute_0_17403,plain,
    product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(a,c)),bigC(c,a,product(b,c))) )],[refute_0_17399,refute_0_17402]) ).

cnf(refute_0_17404,plain,
    product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(b,a,b))),bind(B,$fot(product(a,c))),bind(C,$fot(product(product(a,c),b))),bind(D,$fot(b))]]) ).

cnf(refute_0_17405,plain,
    ( product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b))
    | product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)))),bind(Y,$fot(product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)))),bind(Z,$fot(product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))))]]) ).

cnf(refute_0_17406,plain,
    ( product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)),product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b))) )],[refute_0_17404,refute_0_17405]) ).

cnf(refute_0_17407,plain,
    product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),product(a,c)),product(product(product(a,c),b),b)),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) )],[refute_0_17403,refute_0_17406]) ).

cnf(refute_0_17408,plain,
    ( product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))) ),[1],$fot(product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_17409,plain,
    ( quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b)),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) )],[refute_0_17407,refute_0_17408]) ).

cnf(refute_0_17410,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17388,refute_0_17409]) ).

cnf(refute_0_17411,plain,
    quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(bigC(b,a,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17370,refute_0_17410]) ).

cnf(refute_0_17412,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,b,b)))) = product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(a,b,b))),bind(X_16,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_17413,plain,
    ( product(product(product(a,c),b),bigC(a,b,b)) != product(c,b)
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,b,b)))) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,b,b)))),product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))) ),[0,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_17414,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,b,b)))) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),bigC(a,b,b)),product(c,b)) )],[refute_0_9466,refute_0_17413]) ).

cnf(refute_0_17415,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,b,b)))),product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17412,refute_0_17414]) ).

cnf(refute_0_17416,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)),product(product(a,c),b)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(c,b))),bind(X_18,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_17417,plain,
    ( difference(product(product(a,c),b),product(c,b)) != product(product(c,b),bigC(c,a,b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)),product(product(a,c),b))) ),[1,0,0],$fot(product(product(c,b),bigC(c,a,b)))]]) ).

cnf(refute_0_17418,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) )],[refute_0_9168,refute_0_17417]) ).

cnf(refute_0_17419,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(difference(product(product(a,c),b),product(c,b)),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17416,refute_0_17418]) ).

cnf(refute_0_17420,plain,
    product(product(product(a,c),b),product(c,b)) = product(product(product(a,c),c),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,c))),bind(X_64,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_17421,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(product(a,c),c),b)
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(product(a,c),c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))) ),[1,1],$fot(product(product(product(a,c),c),b))]]) ).

cnf(refute_0_17422,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(product(a,c),c),b)
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(product(a,c),c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))) )],[refute_0_17383,refute_0_17421]) ).

cnf(refute_0_17423,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(product(a,c),c),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(product(a,c),c),b)) )],[refute_0_17420,refute_0_17422]) ).

cnf(refute_0_17424,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != quotient(product(product(a,c),b),product(product(product(a,c),c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))) ),[0],$fot(quotient(product(product(a,c),b),product(product(product(a,c),c),b)))]]) ).

cnf(refute_0_17425,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),c),b))) )],[refute_0_17423,refute_0_17424]) ).

cnf(refute_0_17426,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(c,b),a),product(product(a,c),c)) != product(bigC(c,b,a),product(a,c))
    | product(product(product(c,b),a),product(product(a,c),c)) = product(bigC(c,a,b),product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),a),product(product(a,c),c)))),bind(Y,$fot(product(bigC(c,b,a),product(a,c)))),bind(Z,$fot(product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_17427,plain,
    ( product(bigC(c,b,a),product(a,c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(c,b),a),product(product(a,c),c)) = product(bigC(c,a,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),product(bigC(c,b,a),product(a,c))) )],[refute_0_556,refute_0_17426]) ).

cnf(refute_0_17428,plain,
    product(product(product(c,b),a),product(product(a,c),c)) = product(bigC(c,a,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),product(a,c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_2589,refute_0_17427]) ).

cnf(refute_0_17429,plain,
    product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) = product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)))]]) ).

cnf(refute_0_17430,plain,
    ( product(product(product(c,b),a),product(product(a,c),c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))
    | product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))) ),[1,0],$fot(product(bigC(c,a,b),product(a,c)))]]) ).

cnf(refute_0_17431,plain,
    ( product(product(product(c,b),a),product(product(a,c),c)) != product(bigC(c,a,b),product(a,c))
    | product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17429,refute_0_17430]) ).

cnf(refute_0_17432,plain,
    product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),product(product(a,c),c)),product(bigC(c,a,b),product(a,c))) )],[refute_0_17428,refute_0_17431]) ).

cnf(refute_0_17433,plain,
    product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b)) = product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)),
    inference(subst,[],[refute_0_5695:[bind(B,$fot(product(bigC(c,a,b),b))),bind(D,$fot(b)),bind(X_63,$fot(product(c,b))),bind(X_64,$fot(product(a,c))),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_17434,plain,
    product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b)),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(product(a,c),b))),bind(X_63,$fot(product(c,b))),bind(X_64,$fot(product(a,c))),bind(X_65,$fot(bigC(c,a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_17435,plain,
    ( product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b))
    | product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b)) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))
    | product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)))),bind(Y,$fot(product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b)))),bind(Z,$fot(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))))]]) ).

cnf(refute_0_17436,plain,
    ( product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b)) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))
    | product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)),product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b))) )],[refute_0_17434,refute_0_17435]) ).

cnf(refute_0_17437,plain,
    product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),product(a,c)),product(bigC(c,a,b),b)),product(product(a,c),b)),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17433,refute_0_17436]) ).

cnf(refute_0_17438,plain,
    ( product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) != product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))
    | product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)))),bind(Y,$fot(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)))),bind(Z,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))))]]) ).

cnf(refute_0_17439,plain,
    ( product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)),product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17437,refute_0_17438]) ).

cnf(refute_0_17440,plain,
    product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(product(a,c),c)),product(product(bigC(c,a,b),b),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17432,refute_0_17439]) ).

cnf(refute_0_17441,plain,
    ( product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))) ),[1],$fot(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)))]]) ).

cnf(refute_0_17442,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17440,refute_0_17441]) ).

cnf(refute_0_17443,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17425,refute_0_17442]) ).

cnf(refute_0_17444,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(product(product(c,b),bigC(c,a,b)),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17419,refute_0_17443]) ).

cnf(refute_0_17445,plain,
    product(product(product(a,c),c),b) = product(product(product(a,c),c),b),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),b))]]) ).

cnf(refute_0_17446,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),b) != product(product(product(a,c),c),b)
    | product(product(product(a,c),c),b) = product(product(a,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),b),product(product(product(a,c),c),b)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17447,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | product(product(product(a,c),c),b) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),b),product(product(product(a,c),c),b)) )],[refute_0_17445,refute_0_17446]) ).

cnf(refute_0_17448,plain,
    product(product(product(a,c),c),b) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_17447]) ).

cnf(refute_0_17449,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = quotient(product(product(a,c),b),product(product(product(a,c),c),b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),b),product(product(product(a,c),c),b)))]]) ).

cnf(refute_0_17450,plain,
    ( product(product(product(a,c),c),b) != product(product(a,product(b,c)),b)
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != quotient(product(product(a,c),b),product(product(product(a,c),c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),quotient(product(product(a,c),b),product(product(product(a,c),c),b))) ),[1,1],$fot(product(product(a,product(b,c)),b))]]) ).

cnf(refute_0_17451,plain,
    ( product(product(product(a,c),c),b) != product(product(a,product(b,c)),b)
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),quotient(product(product(a,c),b),product(product(product(a,c),c),b))) )],[refute_0_17449,refute_0_17450]) ).

cnf(refute_0_17452,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),c),b)) = quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),b),product(product(a,product(b,c)),b)) )],[refute_0_17448,refute_0_17451]) ).

cnf(refute_0_17453,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != quotient(product(product(a,c),b),product(product(a,product(b,c)),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) ),[0],$fot(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_17454,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),quotient(product(product(a,c),b),product(product(a,product(b,c)),b))) )],[refute_0_17452,refute_0_17453]) ).

cnf(refute_0_17455,plain,
    quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17444,refute_0_17454]) ).

cnf(refute_0_17456,plain,
    product(product(bigC(c,a,b),b),b) = product(product(bigC(c,a,b),b),b),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),b),b))]]) ).

cnf(refute_0_17457,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | product(product(bigC(c,a,b),b),b) != product(product(bigC(c,a,b),b),b)
    | product(product(bigC(c,a,b),b),b) = product(product(c,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),b),b),product(product(bigC(c,a,b),b),b)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_17458,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | product(product(bigC(c,a,b),b),b) = product(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),b),b),product(product(bigC(c,a,b),b),b)) )],[refute_0_17456,refute_0_17457]) ).

cnf(refute_0_17459,plain,
    product(product(bigC(c,a,b),b),b) = product(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),b),product(c,b)) )],[refute_0_3333,refute_0_17458]) ).

cnf(refute_0_17460,plain,
    product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)))]]) ).

cnf(refute_0_17461,plain,
    ( product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) != product(bigC(c,a,c),product(product(bigC(c,a,b),b),b))
    | product(product(bigC(c,a,b),b),b) != product(product(c,b),b)
    | product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,c),product(product(bigC(c,a,b),b),b))) ),[1,1],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_17462,plain,
    ( product(product(bigC(c,a,b),b),b) != product(product(c,b),b)
    | product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,c),product(product(bigC(c,a,b),b),b))) )],[refute_0_17460,refute_0_17461]) ).

cnf(refute_0_17463,plain,
    product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),b),b),product(product(c,b),b)) )],[refute_0_17459,refute_0_17462]) ).

cnf(refute_0_17464,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)))]]) ).

cnf(refute_0_17465,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) ),[1,0],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_17466,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17464,refute_0_17465]) ).

cnf(refute_0_17467,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_2602,refute_0_17466]) ).

cnf(refute_0_17468,plain,
    ( product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) != product(bigC(c,a,c),product(product(bigC(c,a,b),b),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)))),bind(Y,$fot(product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)))),bind(Z,$fot(product(bigC(c,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_17469,plain,
    ( product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,c),product(product(bigC(c,a,b),b),b))) )],[refute_0_17467,refute_0_17468]) ).

cnf(refute_0_17470,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = product(bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,c),product(product(c,b),b))) )],[refute_0_17463,refute_0_17469]) ).

cnf(refute_0_17471,plain,
    ( product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(bigC(c,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) ),[1],$fot(product(bigC(c,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_17472,plain,
    ( quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,c),product(product(c,b),b))) )],[refute_0_17470,refute_0_17471]) ).

cnf(refute_0_17473,plain,
    quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17455,refute_0_17472]) ).

cnf(refute_0_17474,plain,
    product(bigC(c,a,c),product(product(c,b),b)) = product(bigC(c,a,c),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_17475,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(product(c,b),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | product(bigC(c,a,c),product(product(c,b),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,c),product(product(c,b),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_17476,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(bigC(c,a,c),product(product(c,b),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,c),product(product(c,b),b))) )],[refute_0_17474,refute_0_17475]) ).

cnf(refute_0_17477,plain,
    product(bigC(c,a,c),product(product(c,b),b)) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_17476]) ).

cnf(refute_0_17478,plain,
    ( product(bigC(c,a,c),product(product(c,b),b)) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,c),product(product(c,b),b))) ),[1],$fot(product(bigC(a,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_17479,plain,
    ( quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_17477,refute_0_17478]) ).

cnf(refute_0_17480,plain,
    quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,c),product(product(c,b),b))) )],[refute_0_17473,refute_0_17479]) ).

cnf(refute_0_17481,plain,
    product(product(c,product(a,b)),b) = product(product(c,product(a,b)),b),
    introduced(tautology,[refl,[$fot(product(product(c,product(a,b)),b))]]) ).

cnf(refute_0_17482,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(c,product(a,b)),b) != product(product(c,product(a,b)),b)
    | product(product(c,product(a,b)),b) = product(product(a,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(a,b)),b),product(product(c,product(a,b)),b)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_17483,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(c,product(a,b)),b) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),b),product(product(c,product(a,b)),b)) )],[refute_0_17481,refute_0_17482]) ).

cnf(refute_0_17484,plain,
    product(product(c,product(a,b)),b) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_17483]) ).

cnf(refute_0_17485,plain,
    product(product(c,b),product(product(a,b),b)) = product(product(c,product(a,b)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_17486,plain,
    product(product(a,product(b,c)),product(b,b)) = product(product(c,b),product(product(a,b),b)),
    inference(subst,[],[refute_0_7267:[bind(B,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_17487,plain,
    ( product(product(a,product(b,c)),product(b,b)) != product(product(c,b),product(product(a,b),b))
    | product(product(c,b),product(product(a,b),b)) != product(product(c,product(a,b)),b)
    | product(product(a,product(b,c)),product(b,b)) = product(product(c,product(a,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(b,b)))),bind(Y,$fot(product(product(c,b),product(product(a,b),b)))),bind(Z,$fot(product(product(c,product(a,b)),b)))]]) ).

cnf(refute_0_17488,plain,
    ( product(product(c,b),product(product(a,b),b)) != product(product(c,product(a,b)),b)
    | product(product(a,product(b,c)),product(b,b)) = product(product(c,product(a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(b,b)),product(product(c,b),product(product(a,b),b))) )],[refute_0_17486,refute_0_17487]) ).

cnf(refute_0_17489,plain,
    product(product(a,product(b,c)),product(b,b)) = product(product(c,product(a,b)),b),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(a,b),b)),product(product(c,product(a,b)),b)) )],[refute_0_17485,refute_0_17488]) ).

cnf(refute_0_17490,plain,
    ( product(product(a,product(b,c)),product(b,b)) != product(product(c,product(a,b)),b)
    | product(product(product(a,c),b),product(c,b)) != product(product(a,product(b,c)),product(b,b))
    | product(product(product(a,c),b),product(c,b)) = product(product(c,product(a,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(c,b)))),bind(Y,$fot(product(product(a,product(b,c)),product(b,b)))),bind(Z,$fot(product(product(c,product(a,b)),b)))]]) ).

cnf(refute_0_17491,plain,
    ( product(product(a,product(b,c)),product(b,b)) != product(product(c,product(a,b)),b)
    | product(product(product(a,c),b),product(c,b)) = product(product(c,product(a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(a,product(b,c)),product(b,b))) )],[refute_0_17376,refute_0_17490]) ).

cnf(refute_0_17492,plain,
    product(product(product(a,c),b),product(c,b)) = product(product(c,product(a,b)),b),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(b,b)),product(product(c,product(a,b)),b)) )],[refute_0_17489,refute_0_17491]) ).

cnf(refute_0_17493,plain,
    ( product(product(c,product(a,b)),b) != product(product(a,product(b,c)),b)
    | product(product(product(a,c),b),product(c,b)) != product(product(c,product(a,b)),b)
    | product(product(product(a,c),b),product(c,b)) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(c,b)))),bind(Y,$fot(product(product(c,product(a,b)),b))),bind(Z,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_17494,plain,
    ( product(product(c,product(a,b)),b) != product(product(a,product(b,c)),b)
    | product(product(product(a,c),b),product(c,b)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(c,product(a,b)),b)) )],[refute_0_17492,refute_0_17493]) ).

cnf(refute_0_17495,plain,
    product(product(product(a,c),b),product(c,b)) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),b),product(product(a,product(b,c)),b)) )],[refute_0_17484,refute_0_17494]) ).

cnf(refute_0_17496,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(a,product(b,c)),b)
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))) ),[1,1],$fot(product(product(a,product(b,c)),b))]]) ).

cnf(refute_0_17497,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(a,product(b,c)),b)
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b)))) )],[refute_0_17383,refute_0_17496]) ).

cnf(refute_0_17498,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(a,product(b,c)),b)) )],[refute_0_17495,refute_0_17497]) ).

cnf(refute_0_17499,plain,
    ( quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != quotient(product(product(a,c),b),product(product(a,product(b,c)),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))))),bind(Y,$fot(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)))),bind(Z,$fot(product(bigC(a,a,b),product(product(c,b),b))))]]) ).

cnf(refute_0_17500,plain,
    ( quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),quotient(product(product(a,c),b),product(product(a,product(b,c)),b))) )],[refute_0_17498,refute_0_17499]) ).

cnf(refute_0_17501,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_17480,refute_0_17500]) ).

cnf(refute_0_17502,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))) ),[0],$fot(product(bigC(a,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_17503,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_17501,refute_0_17502]) ).

cnf(refute_0_17504,plain,
    product(bigC(b,a,b),product(X_23,c)) = product(bigC(b,a,b),product(X_23,c)),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(X_23,c)))]]) ).

cnf(refute_0_17505,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(X_23,c)) != product(bigC(b,a,b),product(X_23,c))
    | product(bigC(b,a,b),product(X_23,c)) = product(bigC(a,b,b),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(X_23,c)),product(bigC(b,a,b),product(X_23,c))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_17506,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(X_23,c)) = product(bigC(a,b,b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,c)),product(bigC(b,a,b),product(X_23,c))) )],[refute_0_17504,refute_0_17505]) ).

cnf(refute_0_17507,plain,
    product(bigC(b,a,b),product(X_23,c)) = product(bigC(a,b,b),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_17506]) ).

cnf(refute_0_17508,plain,
    ( bigC(c,product(b,c),X_23) != product(bigC(b,a,b),product(X_23,c))
    | product(bigC(b,a,b),product(X_23,c)) != product(bigC(a,b,b),product(X_23,c))
    | bigC(c,product(b,c),X_23) = product(bigC(a,b,b),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(b,c),X_23),product(bigC(a,b,b),product(X_23,c))) ),[0],$fot(product(bigC(b,a,b),product(X_23,c)))]]) ).

cnf(refute_0_17509,plain,
    ( bigC(c,product(b,c),X_23) != product(bigC(b,a,b),product(X_23,c))
    | bigC(c,product(b,c),X_23) = product(bigC(a,b,b),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(X_23,c)),product(bigC(a,b,b),product(X_23,c))) )],[refute_0_17507,refute_0_17508]) ).

cnf(refute_0_17510,plain,
    bigC(c,product(b,c),X_23) = product(bigC(a,b,b),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_23),product(bigC(b,a,b),product(X_23,c))) )],[refute_0_17393,refute_0_17509]) ).

cnf(refute_0_17511,plain,
    ( bigC(c,product(b,c),X_23) != product(bigC(a,b,b),product(X_23,c))
    | product(bigC(a,b,b),product(X_23,c)) = bigC(c,product(b,c),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(b,c),X_23))),bind(Y,$fot(product(bigC(a,b,b),product(X_23,c))))]]) ).

cnf(refute_0_17512,plain,
    product(bigC(a,b,b),product(X_23,c)) = bigC(c,product(b,c),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),X_23),product(bigC(a,b,b),product(X_23,c))) )],[refute_0_17510,refute_0_17511]) ).

cnf(refute_0_17513,plain,
    product(bigC(a,b,b),product(a,c)) = bigC(c,product(b,c),a),
    inference(subst,[],[refute_0_17512:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_17514,plain,
    ( bigC(c,product(b,c),a) != bigC(c,a,product(b,c))
    | product(bigC(a,b,b),product(a,c)) != bigC(c,product(b,c),a)
    | product(bigC(a,b,b),product(a,c)) = bigC(c,a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(a,c)))),bind(Y,$fot(bigC(c,product(b,c),a))),bind(Z,$fot(bigC(c,a,product(b,c))))]]) ).

cnf(refute_0_17515,plain,
    ( bigC(c,product(b,c),a) != bigC(c,a,product(b,c))
    | product(bigC(a,b,b),product(a,c)) = bigC(c,a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(a,c)),bigC(c,product(b,c),a)) )],[refute_0_17513,refute_0_17514]) ).

cnf(refute_0_17516,plain,
    product(bigC(a,b,b),product(a,c)) = bigC(c,a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,c),a),bigC(c,a,product(b,c))) )],[refute_0_17389,refute_0_17515]) ).

cnf(refute_0_17517,plain,
    product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) = product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_17518,plain,
    ( product(bigC(a,b,b),product(a,c)) != bigC(c,a,product(b,c))
    | product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) != product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b))
    | product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)),product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b))) ),[1,0],$fot(bigC(c,a,product(b,c)))]]) ).

cnf(refute_0_17519,plain,
    ( product(bigC(a,b,b),product(a,c)) != bigC(c,a,product(b,c))
    | product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)),product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b))) )],[refute_0_17517,refute_0_17518]) ).

cnf(refute_0_17520,plain,
    product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(a,c)),bigC(c,a,product(b,c))) )],[refute_0_17516,refute_0_17519]) ).

cnf(refute_0_17521,plain,
    product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) = product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(a,c))),bind(C,$fot(product(product(a,c),b))),bind(D,$fot(b))]]) ).

cnf(refute_0_17522,plain,
    ( product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) != product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b))
    | product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)))),bind(Y,$fot(product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)))),bind(Z,$fot(product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))))]]) ).

cnf(refute_0_17523,plain,
    ( product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)),product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b))) )],[refute_0_17521,refute_0_17522]) ).

cnf(refute_0_17524,plain,
    product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(a,c)),product(product(product(a,c),b),b)),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) )],[refute_0_17520,refute_0_17523]) ).

cnf(refute_0_17525,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(product(c,b),b)),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) ),[0],$fot(product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)))]]) ).

cnf(refute_0_17526,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b)),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) )],[refute_0_17524,refute_0_17525]) ).

cnf(refute_0_17527,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))) != product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),b)),product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17503,refute_0_17526]) ).

cnf(refute_0_17528,plain,
    product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(c,b))),product(product(bigC(a,b,b),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_17415,refute_0_17527]) ).

cnf(refute_0_17529,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,b),product(product(c,b),b)))),bind(Y,$fot(product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))))]]) ).

cnf(refute_0_17530,plain,
    product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),b)),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) )],[refute_0_17528,refute_0_17529]) ).

cnf(refute_0_17531,plain,
    ( product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) ),[1],$fot(product(bigC(a,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_17532,plain,
    ( quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) != product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))
    | quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b)),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_17530,refute_0_17531]) ).

cnf(refute_0_17533,plain,
    quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),product(bigC(c,a,product(b,c)),product(product(product(a,c),b),b))) )],[refute_0_17411,refute_0_17532]) ).

cnf(refute_0_17534,plain,
    quotient(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))))),bind(B,$fot(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_17535,plain,
    product(product(product(a,b),product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(a,b),product(b,bigC(c,a,b))),
    inference(subst,[],[refute_0_2405:[bind(A,$fot(product(a,b))),bind(X_22,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_17536,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | product(product(product(a,b),product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(a,b),product(b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(a,b),product(b,bigC(c,a,b)))) ),[0,0,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_17537,plain,
    ( product(product(product(a,b),product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(a,b),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_17536]) ).

cnf(refute_0_17538,plain,
    product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(a,b),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(product(a,b),product(b,bigC(c,a,b))),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_17535,refute_0_17537]) ).

cnf(refute_0_17539,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)) = bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,b))),bind(B,$fot(product(c,b))),bind(C,$fot(product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_17540,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_17541,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) != bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))
    | product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) ),[1,2],$fot(product(c,b))]]) ).

cnf(refute_0_17542,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) )],[refute_0_17540,refute_0_17541]) ).

cnf(refute_0_17543,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_17542]) ).

cnf(refute_0_17544,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)) != bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) != bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))))),bind(Y,$fot(bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)))),bind(Z,$fot(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_17545,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)) != bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))
    | bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b))) )],[refute_0_17543,refute_0_17544]) ).

cnf(refute_0_17546,plain,
    bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) = bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(c,b)),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) )],[refute_0_17539,refute_0_17545]) ).

cnf(refute_0_17547,plain,
    product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))))]]) ).

cnf(refute_0_17548,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) != bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))))) ),[1,1],$fot(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_17549,plain,
    ( bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))) != bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))))) )],[refute_0_17547,refute_0_17548]) ).

cnf(refute_0_17550,plain,
    product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) = product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) )],[refute_0_17546,refute_0_17549]) ).

cnf(refute_0_17551,plain,
    ( product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(b,bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(a,b),product(b,bigC(c,a,b)))) ),[0],$fot(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_17552,plain,
    ( product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(b,bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_17550,refute_0_17551]) ).

cnf(refute_0_17553,plain,
    ( product(product(a,b),product(b,bigC(c,a,b))) != product(c,b)
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(b,bigC(c,a,b)))) ),[1],$fot(product(c,b))]]) ).

cnf(refute_0_17554,plain,
    ( product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(b,bigC(c,a,b))),product(c,b)) )],[refute_0_220,refute_0_17553]) ).

cnf(refute_0_17555,plain,
    ( product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))) != product(product(a,b),product(b,bigC(c,a,b)))
    | product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_17552,refute_0_17554]) ).

cnf(refute_0_17556,plain,
    product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(c,b),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(b,bigC(c,a,b)),product(product(a,b),product(b,bigC(c,a,b))))),product(product(a,b),product(b,bigC(c,a,b)))) )],[refute_0_17538,refute_0_17555]) ).

cnf(refute_0_17557,plain,
    ( product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(c,b)
    | quotient(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_17558,plain,
    ( quotient(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(c,b)) )],[refute_0_17556,refute_0_17557]) ).

cnf(refute_0_17559,plain,
    quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_17534,refute_0_17558]) ).

cnf(refute_0_17560,plain,
    bigC(product(a,b),product(b,c),product(c,b)) = product(product(c,product(c,b)),bigC(b,a,b)),
    inference(subst,[],[refute_0_9864:[bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_17561,plain,
    bigC(product(a,b),product(c,b),product(b,c)) = bigC(product(a,b),product(b,c),product(c,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,b))),bind(B,$fot(product(b,c))),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_17562,plain,
    ( bigC(product(a,b),product(b,c),product(c,b)) != product(product(c,product(c,b)),bigC(b,a,b))
    | bigC(product(a,b),product(c,b),product(b,c)) != bigC(product(a,b),product(b,c),product(c,b))
    | bigC(product(a,b),product(c,b),product(b,c)) = product(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(c,b),product(b,c)))),bind(Y,$fot(bigC(product(a,b),product(b,c),product(c,b)))),bind(Z,$fot(product(product(c,product(c,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_17563,plain,
    ( bigC(product(a,b),product(b,c),product(c,b)) != product(product(c,product(c,b)),bigC(b,a,b))
    | bigC(product(a,b),product(c,b),product(b,c)) = product(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,b),product(b,c)),bigC(product(a,b),product(b,c),product(c,b))) )],[refute_0_17561,refute_0_17562]) ).

cnf(refute_0_17564,plain,
    bigC(product(a,b),product(c,b),product(b,c)) = product(product(c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(b,c),product(c,b)),product(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_17560,refute_0_17563]) ).

cnf(refute_0_17565,plain,
    bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_17566,plain,
    ( bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) != bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))
    | product(b,bigC(c,a,b)) != product(b,c)
    | bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = bigC(product(a,b),product(c,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) ),[1,2],$fot(product(b,c))]]) ).

cnf(refute_0_17567,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = bigC(product(a,b),product(c,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) )],[refute_0_17565,refute_0_17566]) ).

cnf(refute_0_17568,plain,
    bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = bigC(product(a,b),product(c,b),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_17567]) ).

cnf(refute_0_17569,plain,
    ( bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) != bigC(product(a,b),product(c,b),product(b,c))
    | bigC(product(a,b),product(c,b),product(b,c)) != product(product(c,product(c,b)),bigC(b,a,b))
    | bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))),bind(Y,$fot(bigC(product(a,b),product(c,b),product(b,c)))),bind(Z,$fot(product(product(c,product(c,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_17570,plain,
    ( bigC(product(a,b),product(c,b),product(b,c)) != product(product(c,product(c,b)),bigC(b,a,b))
    | bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),bigC(product(a,b),product(c,b),product(b,c))) )],[refute_0_17568,refute_0_17569]) ).

cnf(refute_0_17571,plain,
    bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) = product(product(c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,b),product(b,c)),product(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_17564,refute_0_17570]) ).

cnf(refute_0_17572,plain,
    quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_17573,plain,
    ( bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,a,b))
    | quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))) ),[1,1],$fot(product(product(c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_17574,plain,
    ( bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))) != product(product(c,product(c,b)),bigC(b,a,b))
    | quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_17572,refute_0_17573]) ).

cnf(refute_0_17575,plain,
    quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) = quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,b),product(b,bigC(c,a,b))),product(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_17571,refute_0_17574]) ).

cnf(refute_0_17576,plain,
    ( quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b)))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) ),[0],$fot(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_17577,plain,
    ( quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b)))) )],[refute_0_17575,refute_0_17576]) ).

cnf(refute_0_17578,plain,
    product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_17579,plain,
    ( product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | product(product(c,b),product(b,bigC(c,a,b))) != bigC(c,b,b)
    | product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_17580,plain,
    ( product(product(c,b),product(b,bigC(c,a,b))) != bigC(c,b,b)
    | product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_17578,refute_0_17579]) ).

cnf(refute_0_17581,plain,
    product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) = product(product(a,b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,bigC(c,a,b))),bigC(c,b,b)) )],[refute_0_10094,refute_0_17580]) ).

cnf(refute_0_17582,plain,
    ( product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),bigC(c,b,b))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) ),[1],$fot(product(product(a,b),bigC(c,b,b)))]]) ).

cnf(refute_0_17583,plain,
    ( quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),bigC(c,b,b))) )],[refute_0_17581,refute_0_17582]) ).

cnf(refute_0_17584,plain,
    ( quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))) != product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_17577,refute_0_17583]) ).

cnf(refute_0_17585,plain,
    quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = product(product(a,b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(product(a,b),product(c,b),product(b,bigC(c,a,b)))),product(product(a,b),product(product(c,b),product(b,bigC(c,a,b))))) )],[refute_0_17559,refute_0_17584]) ).

cnf(refute_0_17586,plain,
    quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))))]]) ).

cnf(refute_0_17587,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != bigC(c,product(c,b),product(c,b))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) != quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b)))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = quotient(product(c,b),bigC(c,product(c,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b)))) ),[1,1],$fot(bigC(c,product(c,b),product(c,b)))]]) ).

cnf(refute_0_17588,plain,
    ( product(product(c,product(c,b)),bigC(b,a,b)) != bigC(c,product(c,b),product(c,b))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = quotient(product(c,b),bigC(c,product(c,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b)))) )],[refute_0_17586,refute_0_17587]) ).

cnf(refute_0_17589,plain,
    quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) = quotient(product(c,b),bigC(c,product(c,b),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(b,a,b)),bigC(c,product(c,b),product(c,b))) )],[refute_0_11028,refute_0_17588]) ).

cnf(refute_0_17590,plain,
    ( quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,b),bigC(c,b,b))
    | quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) != quotient(product(c,b),bigC(c,product(c,b),product(c,b)))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = product(product(a,b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,b),bigC(c,b,b))) ),[0],$fot(quotient(product(c,b),bigC(c,product(c,b),product(c,b))))]]) ).

cnf(refute_0_17591,plain,
    ( quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))) != product(product(a,b),bigC(c,b,b))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = product(product(a,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),quotient(product(c,b),bigC(c,product(c,b),product(c,b)))) )],[refute_0_17589,refute_0_17590]) ).

cnf(refute_0_17592,plain,
    quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = product(product(a,b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,product(c,b)),bigC(b,a,b))),product(product(a,b),bigC(c,b,b))) )],[refute_0_17585,refute_0_17591]) ).

cnf(refute_0_17593,plain,
    product(product(a,b),bigC(c,b,b)) = product(product(a,b),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(product(a,b),bigC(c,b,b)))]]) ).

cnf(refute_0_17594,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(a,b),bigC(c,b,b)) != product(product(a,b),bigC(c,b,b))
    | product(product(a,b),bigC(c,b,b)) = product(product(a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),bigC(c,b,b)),product(product(a,b),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_17595,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(a,b),bigC(c,b,b)) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,b,b)),product(product(a,b),bigC(c,b,b))) )],[refute_0_17593,refute_0_17594]) ).

cnf(refute_0_17596,plain,
    product(product(a,b),bigC(c,b,b)) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_17595]) ).

cnf(refute_0_17597,plain,
    ( product(product(a,b),bigC(c,b,b)) != product(product(a,b),bigC(b,b,c))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) != product(product(a,b),bigC(c,b,b))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = product(product(a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),product(product(a,b),bigC(c,b,b))) ),[1],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_17598,plain,
    ( quotient(product(c,b),bigC(c,product(c,b),product(c,b))) != product(product(a,b),bigC(c,b,b))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,b,b)),product(product(a,b),bigC(b,b,c))) )],[refute_0_17596,refute_0_17597]) ).

cnf(refute_0_17599,plain,
    quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),product(product(a,b),bigC(c,b,b))) )],[refute_0_17592,refute_0_17598]) ).

cnf(refute_0_17600,plain,
    quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = quotient(product(c,b),bigC(c,product(c,b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),bigC(c,product(c,b),product(c,b))))]]) ).

cnf(refute_0_17601,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(bigC(a,b,b),product(c,b))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) != quotient(product(c,b),bigC(c,product(c,b),product(c,b)))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = quotient(product(c,b),product(bigC(a,b,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),quotient(product(c,b),bigC(c,product(c,b),product(c,b)))) ),[1,1],$fot(product(bigC(a,b,b),product(c,b)))]]) ).

cnf(refute_0_17602,plain,
    ( bigC(c,product(c,b),product(c,b)) != product(bigC(a,b,b),product(c,b))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = quotient(product(c,b),product(bigC(a,b,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),quotient(product(c,b),bigC(c,product(c,b),product(c,b)))) )],[refute_0_17600,refute_0_17601]) ).

cnf(refute_0_17603,plain,
    quotient(product(c,b),bigC(c,product(c,b),product(c,b))) = quotient(product(c,b),product(bigC(a,b,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_11251,refute_0_17602]) ).

cnf(refute_0_17604,plain,
    ( quotient(product(c,b),bigC(c,product(c,b),product(c,b))) != product(product(a,b),bigC(b,b,c))
    | quotient(product(c,b),bigC(c,product(c,b),product(c,b))) != quotient(product(c,b),product(bigC(a,b,b),product(c,b)))
    | quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = product(product(a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),product(product(a,b),bigC(b,b,c))) ),[0],$fot(quotient(product(c,b),product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_17605,plain,
    ( quotient(product(c,b),bigC(c,product(c,b),product(c,b))) != product(product(a,b),bigC(b,b,c))
    | quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),quotient(product(c,b),product(bigC(a,b,b),product(c,b)))) )],[refute_0_17603,refute_0_17604]) ).

cnf(refute_0_17606,plain,
    quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),bigC(c,product(c,b),product(c,b))),product(product(a,b),bigC(b,b,c))) )],[refute_0_17599,refute_0_17605]) ).

cnf(refute_0_17607,plain,
    quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = quotient(product(c,b),product(bigC(a,b,b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_17608,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | quotient(product(c,b),product(bigC(a,b,b),product(c,b))) != quotient(product(c,b),product(bigC(a,b,b),product(c,b)))
    | quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(bigC(a,b,b),product(c,b))),quotient(product(c,b),product(bigC(a,b,b),product(c,b)))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_17609,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(bigC(a,b,b),product(c,b))),quotient(product(c,b),product(bigC(a,b,b),product(c,b)))) )],[refute_0_17607,refute_0_17608]) ).

cnf(refute_0_17610,plain,
    quotient(product(c,b),product(bigC(a,b,b),product(c,b))) = quotient(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_17609]) ).

cnf(refute_0_17611,plain,
    ( quotient(product(c,b),product(bigC(a,b,b),product(c,b))) != product(product(a,b),bigC(b,b,c))
    | quotient(product(c,b),product(bigC(a,b,b),product(c,b))) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(product(c,b),product(c,bigC(b,b,c))) = product(product(a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(bigC(a,b,b),product(c,b))),product(product(a,b),bigC(b,b,c))) ),[0],$fot(quotient(product(c,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_17612,plain,
    ( quotient(product(c,b),product(bigC(a,b,b),product(c,b))) != product(product(a,b),bigC(b,b,c))
    | quotient(product(c,b),product(c,bigC(b,b,c))) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(bigC(a,b,b),product(c,b))),quotient(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_17610,refute_0_17611]) ).

cnf(refute_0_17613,plain,
    quotient(product(c,b),product(c,bigC(b,b,c))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(bigC(a,b,b),product(c,b))),product(product(a,b),bigC(b,b,c))) )],[refute_0_17606,refute_0_17612]) ).

cnf(refute_0_17614,plain,
    quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_17615,plain,
    ( quotient(product(c,b),product(c,bigC(b,b,c))) != product(product(a,b),bigC(b,b,c))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c))))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c))))) ),[1,1],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_17616,plain,
    ( quotient(product(c,b),product(c,bigC(b,b,c))) != product(product(a,b),bigC(b,b,c))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_17614,refute_0_17615]) ).

cnf(refute_0_17617,plain,
    quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(c,bigC(b,b,c))),product(product(a,b),bigC(b,b,c))) )],[refute_0_17613,refute_0_17616]) ).

cnf(refute_0_17618,plain,
    ( quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c)))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))))),bind(Y,$fot(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))))),bind(Z,$fot(product(bigC(a,a,b),product(product(c,b),b))))]]) ).

cnf(refute_0_17619,plain,
    ( quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c)))) )],[refute_0_17617,refute_0_17618]) ).

cnf(refute_0_17620,plain,
    quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,b),bigC(b,b,c))),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_17533,refute_0_17619]) ).

cnf(refute_0_17621,plain,
    ( quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(a,a,b),product(product(c,b),b))
    | quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(a,a,c),b)
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),product(bigC(a,a,c),b)) ),[0],$fot(product(bigC(a,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_17622,plain,
    ( quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(a,a,c),b)
    | product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),product(bigC(a,a,b),product(product(c,b),b))) )],[refute_0_17620,refute_0_17621]) ).

cnf(refute_0_17623,plain,
    product(bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),quotient(product(c,b),product(c,bigC(b,b,c)))),product(bigC(a,a,c),b)) )],[refute_0_17366,refute_0_17622]) ).

cnf(refute_0_17624,plain,
    ( product(bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,c),b)
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b)))) != product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b)))),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) ),[0,1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_17625,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b)))) != product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,c),b)) )],[refute_0_17623,refute_0_17624]) ).

cnf(refute_0_17626,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,b),product(product(c,b),b)))),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_17322,refute_0_17625]) ).

cnf(refute_0_17627,plain,
    bigC(product(b,a),product(c,product(c,a)),c) = bigC(product(b,a),c,product(c,product(c,a))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(b,a))),bind(B,$fot(c)),bind(C,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_17628,plain,
    bigC(product(b,a),difference(product(b,a),product(bigC(b,b,c),a)),X_23) = product(product(bigC(b,b,c),a),product(X_23,product(b,a))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(bigC(b,b,c),a))),bind(X_21,$fot(product(b,a)))]]) ).

cnf(refute_0_17629,plain,
    difference(product(c,a),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) = difference(product(b,a),product(bigC(b,b,c),a)),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,a))),bind(B,$fot(difference(product(b,a),product(bigC(b,b,c),a))))]]) ).

cnf(refute_0_17630,plain,
    difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),difference(product(b,a),product(product(b,c),a))) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(product(b,c),a))),bind(X_32,$fot(product(b,a)))]]) ).

cnf(refute_0_17631,plain,
    difference(product(b,a),difference(product(c,product(b,a)),product(b,a))) = product(product(b,a),quotient(c,product(b,a))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(b,a))),bind(X_27,$fot(c))]]) ).

cnf(refute_0_17632,plain,
    ( difference(product(b,a),difference(product(c,product(b,a)),product(b,a))) != product(product(b,a),quotient(c,product(b,a)))
    | product(c,product(b,a)) != product(b,product(a,c))
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = product(product(b,a),quotient(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(c,product(b,a)),product(b,a))),product(product(b,a),quotient(c,product(b,a)))) ),[0,1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_17633,plain,
    ( difference(product(b,a),difference(product(c,product(b,a)),product(b,a))) != product(product(b,a),quotient(c,product(b,a)))
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = product(product(b,a),quotient(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_17632]) ).

cnf(refute_0_17634,plain,
    difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = product(product(b,a),quotient(c,product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(c,product(b,a)),product(b,a))),product(product(b,a),quotient(c,product(b,a)))) )],[refute_0_17631,refute_0_17633]) ).

cnf(refute_0_17635,plain,
    product(product(b,a),quotient(c,product(b,a))) = product(product(b,a),quotient(c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(b,a),quotient(c,product(b,a))))]]) ).

cnf(refute_0_17636,plain,
    ( product(product(b,a),quotient(c,product(b,a))) != product(product(b,a),quotient(c,product(b,a)))
    | quotient(c,product(b,a)) != product(a,c)
    | product(product(b,a),quotient(c,product(b,a))) = product(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),quotient(c,product(b,a))),product(product(b,a),quotient(c,product(b,a)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_17637,plain,
    ( quotient(c,product(b,a)) != product(a,c)
    | product(product(b,a),quotient(c,product(b,a))) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(c,product(b,a))),product(product(b,a),quotient(c,product(b,a)))) )],[refute_0_17635,refute_0_17636]) ).

cnf(refute_0_17638,plain,
    product(product(b,a),quotient(c,product(b,a))) = product(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,a)),product(a,c)) )],[refute_0_12205,refute_0_17637]) ).

cnf(refute_0_17639,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != product(product(b,a),quotient(c,product(b,a)))
    | product(product(b,a),quotient(c,product(b,a))) != product(product(b,a),product(a,c))
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = product(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),product(product(b,a),product(a,c))) ),[0],$fot(product(product(b,a),quotient(c,product(b,a))))]]) ).

cnf(refute_0_17640,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != product(product(b,a),quotient(c,product(b,a)))
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(c,product(b,a))),product(product(b,a),product(a,c))) )],[refute_0_17638,refute_0_17639]) ).

cnf(refute_0_17641,plain,
    difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = product(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),product(product(b,a),quotient(c,product(b,a)))) )],[refute_0_17634,refute_0_17640]) ).

cnf(refute_0_17642,plain,
    difference(product(c,product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),quotient(c,product(b,a)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(c)),bind(X_20,$fot(product(b,a)))]]) ).

cnf(refute_0_17643,plain,
    ( difference(product(c,product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(c,product(b,a))))
    | quotient(c,product(b,a)) != product(a,c)
    | difference(product(c,product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(c,product(b,a))))) ),[1,1,1],$fot(product(a,c))]]) ).

cnf(refute_0_17644,plain,
    ( difference(product(c,product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(c,product(b,a))))
    | difference(product(c,product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,a)),product(a,c)) )],[refute_0_12205,refute_0_17643]) ).

cnf(refute_0_17645,plain,
    difference(product(c,product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(c,product(b,a))))) )],[refute_0_17642,refute_0_17644]) ).

cnf(refute_0_17646,plain,
    difference(product(c,product(b,a)),product(b,a)) = difference(product(c,product(b,a)),product(b,a)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(b,a)),product(b,a)))]]) ).

cnf(refute_0_17647,plain,
    ( difference(product(c,product(b,a)),product(b,a)) != difference(product(c,product(b,a)),product(b,a))
    | product(c,product(b,a)) != product(b,product(a,c))
    | difference(product(c,product(b,a)),product(b,a)) = difference(product(b,product(a,c)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),difference(product(c,product(b,a)),product(b,a))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_17648,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | difference(product(c,product(b,a)),product(b,a)) = difference(product(b,product(a,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),difference(product(c,product(b,a)),product(b,a))) )],[refute_0_17646,refute_0_17647]) ).

cnf(refute_0_17649,plain,
    difference(product(c,product(b,a)),product(b,a)) = difference(product(b,product(a,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_17648]) ).

cnf(refute_0_17650,plain,
    ( difference(product(c,product(b,a)),product(b,a)) != difference(product(b,product(a,c)),product(b,a))
    | difference(product(c,product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(a,c)))
    | difference(product(b,product(a,c)),product(b,a)) = product(product(b,a),product(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(a,c)))) ),[0],$fot(difference(product(b,product(a,c)),product(b,a)))]]) ).

cnf(refute_0_17651,plain,
    ( difference(product(c,product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),product(a,c)))
    | difference(product(b,product(a,c)),product(b,a)) = product(product(b,a),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),difference(product(b,product(a,c)),product(b,a))) )],[refute_0_17649,refute_0_17650]) ).

cnf(refute_0_17652,plain,
    difference(product(b,product(a,c)),product(b,a)) = product(product(b,a),product(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),product(a,c)))) )],[refute_0_17645,refute_0_17651]) ).

cnf(refute_0_17653,plain,
    product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,a),product(product(b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17654,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | product(product(b,a),product(product(b,a),product(a,c))) != product(product(b,a),product(product(b,a),product(a,c)))
    | product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(product(b,a),product(a,c))),product(product(b,a),product(product(b,a),product(a,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_17655,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(a,c))),product(product(b,a),product(product(b,a),product(a,c)))) )],[refute_0_17653,refute_0_17654]) ).

cnf(refute_0_17656,plain,
    product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_17655]) ).

cnf(refute_0_17657,plain,
    ( product(product(b,a),product(c,a)) != product(product(b,c),a)
    | product(product(b,a),product(product(b,a),product(a,c))) != product(product(b,a),product(c,a))
    | product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,c),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(product(b,a),product(a,c))))),bind(Y,$fot(product(product(b,a),product(c,a)))),bind(Z,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_17658,plain,
    ( product(product(b,a),product(c,a)) != product(product(b,c),a)
    | product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(a,c))),product(product(b,a),product(c,a))) )],[refute_0_17656,refute_0_17657]) ).

cnf(refute_0_17659,plain,
    product(product(b,a),product(product(b,a),product(a,c))) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,a)),product(product(b,c),a)) )],[refute_0_4982,refute_0_17658]) ).

cnf(refute_0_17660,plain,
    ( difference(product(b,product(a,c)),product(b,a)) != product(product(b,a),product(product(b,a),product(a,c)))
    | product(product(b,a),product(product(b,a),product(a,c))) != product(product(b,c),a)
    | difference(product(b,product(a,c)),product(b,a)) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,product(a,c)),product(b,a)),product(product(b,c),a)) ),[0],$fot(product(product(b,a),product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17661,plain,
    ( difference(product(b,product(a,c)),product(b,a)) != product(product(b,a),product(product(b,a),product(a,c)))
    | difference(product(b,product(a,c)),product(b,a)) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),product(a,c))),product(product(b,c),a)) )],[refute_0_17659,refute_0_17660]) ).

cnf(refute_0_17662,plain,
    difference(product(b,product(a,c)),product(b,a)) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(product(b,a),product(a,c)))) )],[refute_0_17652,refute_0_17661]) ).

cnf(refute_0_17663,plain,
    difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))))]]) ).

cnf(refute_0_17664,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))
    | difference(product(b,product(a,c)),product(b,a)) != product(product(b,c),a)
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = difference(product(b,a),product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))) ),[1,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_17665,plain,
    ( difference(product(b,product(a,c)),product(b,a)) != product(product(b,c),a)
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = difference(product(b,a),product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))) )],[refute_0_17663,refute_0_17664]) ).

cnf(refute_0_17666,plain,
    difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) = difference(product(b,a),product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(b,a)),product(product(b,c),a)) )],[refute_0_17662,refute_0_17665]) ).

cnf(refute_0_17667,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != difference(product(b,a),product(product(b,c),a))
    | difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != product(product(b,a),product(a,c))
    | difference(product(b,a),product(product(b,c),a)) = product(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),product(product(b,a),product(a,c))) ),[0],$fot(difference(product(b,a),product(product(b,c),a)))]]) ).

cnf(refute_0_17668,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != product(product(b,a),product(a,c))
    | difference(product(b,a),product(product(b,c),a)) = product(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),difference(product(b,a),product(product(b,c),a))) )],[refute_0_17666,refute_0_17667]) ).

cnf(refute_0_17669,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(product(b,a),product(a,c))
    | product(product(b,a),product(a,c)) != product(c,a)
    | difference(product(b,a),product(product(b,c),a)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,a),product(product(b,c),a)),product(c,a)) ),[0],$fot(product(product(b,a),product(a,c)))]]) ).

cnf(refute_0_17670,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(product(b,a),product(a,c))
    | difference(product(b,a),product(product(b,c),a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_17669]) ).

cnf(refute_0_17671,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != product(product(b,a),product(a,c))
    | difference(product(b,a),product(product(b,c),a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,c),a)),product(product(b,a),product(a,c))) )],[refute_0_17668,refute_0_17670]) ).

cnf(refute_0_17672,plain,
    difference(product(b,a),product(product(b,c),a)) = product(c,a),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),product(product(b,a),product(a,c))) )],[refute_0_17641,refute_0_17671]) ).

cnf(refute_0_17673,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(c,a)
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),difference(product(b,a),product(product(b,c),a))) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),difference(product(b,a),product(product(b,c),a))),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_17674,plain,
    ( difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),difference(product(b,a),product(product(b,c),a))) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,c),a)),product(c,a)) )],[refute_0_17672,refute_0_17673]) ).

cnf(refute_0_17675,plain,
    difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),difference(product(b,a),product(product(b,c),a))),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) )],[refute_0_17630,refute_0_17674]) ).

cnf(refute_0_17676,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(difference(product(b,product(a,c)),product(b,a)))),bind(X_20,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17677,plain,
    quotient(difference(product(b,product(a,c)),product(b,a)),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))) = product(b,a),
    inference(subst,[],[refute_0_362:[bind(B,$fot(difference(product(b,product(a,c)),product(b,a)))),bind(X_6,$fot(product(b,a)))]]) ).

cnf(refute_0_17678,plain,
    ( difference(product(b,a),difference(product(b,product(a,c)),product(b,a))) != product(product(b,a),product(a,c))
    | quotient(difference(product(b,product(a,c)),product(b,a)),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))) != product(b,a)
    | quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(b,product(a,c)),product(b,a)),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))),product(b,a)) ),[0,1],$fot(product(product(b,a),product(a,c)))]]) ).

cnf(refute_0_17679,plain,
    ( quotient(difference(product(b,product(a,c)),product(b,a)),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))) != product(b,a)
    | quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,product(a,c)),product(b,a))),product(product(b,a),product(a,c))) )],[refute_0_17641,refute_0_17678]) ).

cnf(refute_0_17680,plain,
    quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(difference(product(b,product(a,c)),product(b,a)),difference(product(b,a),difference(product(b,product(a,c)),product(b,a)))),product(b,a)) )],[refute_0_17677,refute_0_17679]) ).

cnf(refute_0_17681,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))))
    | quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) != product(b,a)
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))))) ),[1,1,1],$fot(product(b,a))]]) ).

cnf(refute_0_17682,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(b,a)) )],[refute_0_17680,refute_0_17681]) ).

cnf(refute_0_17683,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),quotient(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))))) )],[refute_0_17676,refute_0_17682]) ).

cnf(refute_0_17684,plain,
    product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b)) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))),
    inference(subst,[],[refute_0_1862:[bind(C,$fot(product(product(b,a),product(a,c)))),bind(X_63,$fot(b)),bind(X_64,$fot(a)),bind(X_65,$fot(a)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_17685,plain,
    product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) = product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_63,$fot(product(b,a))),bind(X_64,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17686,plain,
    ( product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) != product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b))
    | product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b)) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))))),bind(Y,$fot(product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b)))),bind(Z,$fot(bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))))]]) ).

cnf(refute_0_17687,plain,
    ( product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b)) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))),product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b))) )],[refute_0_17685,refute_0_17686]) ).

cnf(refute_0_17688,plain,
    product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(product(b,a),product(a,c))),bigC(a,c,b)),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) )],[refute_0_17684,refute_0_17687]) ).

cnf(refute_0_17689,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a)))
    | product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) ),[0],$fot(product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))))]]) ).

cnf(refute_0_17690,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a))),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) )],[refute_0_17688,refute_0_17689]) ).

cnf(refute_0_17691,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),product(product(product(b,a),product(a,c)),product(product(product(b,a),product(a,c)),product(b,a)))) )],[refute_0_17683,refute_0_17690]) ).

cnf(refute_0_17692,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17693,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c)))
    | product(product(b,a),product(a,c)) != product(c,a)
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_17694,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c)))) )],[refute_0_17692,refute_0_17693]) ).

cnf(refute_0_17695,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_17694]) ).

cnf(refute_0_17696,plain,
    product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17697,plain,
    ( product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) != product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))
    | product(product(b,a),product(a,c)) != product(c,a)
    | product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_17698,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c)))) )],[refute_0_17696,refute_0_17697]) ).

cnf(refute_0_17699,plain,
    product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) = product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_17698]) ).

cnf(refute_0_17700,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17701,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c)))
    | product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) != product(difference(product(b,product(a,c)),product(b,a)),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c)))) ),[1,0],$fot(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)))]]) ).

cnf(refute_0_17702,plain,
    ( product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))) != product(difference(product(b,product(a,c)),product(b,a)),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c)))) )],[refute_0_17700,refute_0_17701]) ).

cnf(refute_0_17703,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(difference(product(b,product(a,c)),product(b,a)),product(c,a))) )],[refute_0_17699,refute_0_17702]) ).

cnf(refute_0_17704,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))))),bind(Y,$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))))),bind(Z,$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))))]]) ).

cnf(refute_0_17705,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c)))) )],[refute_0_17703,refute_0_17704]) ).

cnf(refute_0_17706,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))) )],[refute_0_17695,refute_0_17705]) ).

cnf(refute_0_17707,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) ),[0],$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)))]]) ).

cnf(refute_0_17708,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))) )],[refute_0_17706,refute_0_17707]) ).

cnf(refute_0_17709,plain,
    bigC(c,product(c,a),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(product(b,a),product(a,c))),
    introduced(tautology,[refl,[$fot(bigC(c,product(c,a),product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17710,plain,
    ( bigC(c,product(c,a),product(product(b,a),product(a,c))) != bigC(c,product(c,a),product(product(b,a),product(a,c)))
    | product(product(b,a),product(a,c)) != product(c,a)
    | bigC(c,product(c,a),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,a),product(product(b,a),product(a,c))),bigC(c,product(c,a),product(product(b,a),product(a,c)))) ),[1,2],$fot(product(c,a))]]) ).

cnf(refute_0_17711,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | bigC(c,product(c,a),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(product(b,a),product(a,c))),bigC(c,product(c,a),product(product(b,a),product(a,c)))) )],[refute_0_17709,refute_0_17710]) ).

cnf(refute_0_17712,plain,
    bigC(c,product(c,a),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_17711]) ).

cnf(refute_0_17713,plain,
    bigC(c,product(product(b,a),product(a,c)),product(c,a)) = bigC(c,product(c,a),product(product(b,a),product(a,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(product(c,a))),bind(C,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17714,plain,
    bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = product(product(c,a),product(X_23,quotient(product(c,a),product(a,c)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(c,a))),bind(X_22,$fot(product(a,c)))]]) ).

cnf(refute_0_17715,plain,
    ( bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != product(product(c,a),product(X_23,quotient(product(c,a),product(a,c))))
    | quotient(product(c,a),product(a,c)) != product(b,a)
    | bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = product(product(c,a),product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),product(product(c,a),product(X_23,quotient(product(c,a),product(a,c))))) ),[1,1,1],$fot(product(b,a))]]) ).

cnf(refute_0_17716,plain,
    ( bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != product(product(c,a),product(X_23,quotient(product(c,a),product(a,c))))
    | bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = product(product(c,a),product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(a,c)),product(b,a)) )],[refute_0_3820,refute_0_17715]) ).

cnf(refute_0_17717,plain,
    bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = product(product(c,a),product(X_23,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),product(product(c,a),product(X_23,quotient(product(c,a),product(a,c))))) )],[refute_0_17714,refute_0_17716]) ).

cnf(refute_0_17718,plain,
    bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23))]]) ).

cnf(refute_0_17719,plain,
    ( bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23)
    | quotient(product(c,a),product(a,c)) != product(b,a)
    | bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = bigC(product(b,a),product(a,c),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_17720,plain,
    ( quotient(product(c,a),product(a,c)) != product(b,a)
    | bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = bigC(product(b,a),product(a,c),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23)) )],[refute_0_17718,refute_0_17719]) ).

cnf(refute_0_17721,plain,
    bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) = bigC(product(b,a),product(a,c),X_23),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),product(a,c)),product(b,a)) )],[refute_0_3820,refute_0_17720]) ).

cnf(refute_0_17722,plain,
    ( bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != bigC(product(b,a),product(a,c),X_23)
    | bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != product(product(c,a),product(X_23,product(b,a)))
    | bigC(product(b,a),product(a,c),X_23) = product(product(c,a),product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),product(product(c,a),product(X_23,product(b,a)))) ),[0],$fot(bigC(product(b,a),product(a,c),X_23))]]) ).

cnf(refute_0_17723,plain,
    ( bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != product(product(c,a),product(X_23,product(b,a)))
    | bigC(product(b,a),product(a,c),X_23) = product(product(c,a),product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),bigC(product(b,a),product(a,c),X_23)) )],[refute_0_17721,refute_0_17722]) ).

cnf(refute_0_17724,plain,
    product(product(c,X_23),bigC(a,a,b)) = bigC(c,X_23,product(c,a)),
    inference(subst,[],[refute_0_6577:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_17725,plain,
    product(product(c,a),product(X_23,product(b,a))) = product(product(c,X_23),bigC(a,a,b)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(X_23)),bind(X_84,$fot(b))]]) ).

cnf(refute_0_17726,plain,
    ( product(product(c,X_23),bigC(a,a,b)) != bigC(c,X_23,product(c,a))
    | product(product(c,a),product(X_23,product(b,a))) != product(product(c,X_23),bigC(a,a,b))
    | product(product(c,a),product(X_23,product(b,a))) = bigC(c,X_23,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(X_23,product(b,a))))),bind(Y,$fot(product(product(c,X_23),bigC(a,a,b)))),bind(Z,$fot(bigC(c,X_23,product(c,a))))]]) ).

cnf(refute_0_17727,plain,
    ( product(product(c,X_23),bigC(a,a,b)) != bigC(c,X_23,product(c,a))
    | product(product(c,a),product(X_23,product(b,a))) = bigC(c,X_23,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_23,product(b,a))),product(product(c,X_23),bigC(a,a,b))) )],[refute_0_17725,refute_0_17726]) ).

cnf(refute_0_17728,plain,
    product(product(c,a),product(X_23,product(b,a))) = bigC(c,X_23,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,a,b)),bigC(c,X_23,product(c,a))) )],[refute_0_17724,refute_0_17727]) ).

cnf(refute_0_17729,plain,
    ( bigC(product(b,a),product(a,c),X_23) != product(product(c,a),product(X_23,product(b,a)))
    | product(product(c,a),product(X_23,product(b,a))) != bigC(c,X_23,product(c,a))
    | bigC(product(b,a),product(a,c),X_23) = bigC(c,X_23,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),product(a,c),X_23),bigC(c,X_23,product(c,a))) ),[0],$fot(product(product(c,a),product(X_23,product(b,a))))]]) ).

cnf(refute_0_17730,plain,
    ( bigC(product(b,a),product(a,c),X_23) != product(product(c,a),product(X_23,product(b,a)))
    | bigC(product(b,a),product(a,c),X_23) = bigC(c,X_23,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(X_23,product(b,a))),bigC(c,X_23,product(c,a))) )],[refute_0_17728,refute_0_17729]) ).

cnf(refute_0_17731,plain,
    ( bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23) != product(product(c,a),product(X_23,product(b,a)))
    | bigC(product(b,a),product(a,c),X_23) = bigC(c,X_23,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,c),X_23),product(product(c,a),product(X_23,product(b,a)))) )],[refute_0_17723,refute_0_17730]) ).

cnf(refute_0_17732,plain,
    bigC(product(b,a),product(a,c),X_23) = bigC(c,X_23,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),product(a,c)),product(a,c),X_23),product(product(c,a),product(X_23,product(b,a)))) )],[refute_0_17717,refute_0_17731]) ).

cnf(refute_0_17733,plain,
    bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(product(b,a),product(a,c)),product(c,a)),
    inference(subst,[],[refute_0_17732:[bind(X_23,$fot(product(product(b,a),product(a,c))))]]) ).

cnf(refute_0_17734,plain,
    ( bigC(c,product(product(b,a),product(a,c)),product(c,a)) != bigC(c,product(c,a),product(product(b,a),product(a,c)))
    | bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) != bigC(c,product(product(b,a),product(a,c)),product(c,a))
    | bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(product(b,a),product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))))),bind(Y,$fot(bigC(c,product(product(b,a),product(a,c)),product(c,a)))),bind(Z,$fot(bigC(c,product(c,a),product(product(b,a),product(a,c)))))]]) ).

cnf(refute_0_17735,plain,
    ( bigC(c,product(product(b,a),product(a,c)),product(c,a)) != bigC(c,product(c,a),product(product(b,a),product(a,c)))
    | bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(product(b,a),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))),bigC(c,product(product(b,a),product(a,c)),product(c,a))) )],[refute_0_17733,refute_0_17734]) ).

cnf(refute_0_17736,plain,
    bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(product(b,a),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(product(b,a),product(a,c)),product(c,a)),bigC(c,product(c,a),product(product(b,a),product(a,c)))) )],[refute_0_17713,refute_0_17735]) ).

cnf(refute_0_17737,plain,
    ( bigC(c,product(c,a),product(product(b,a),product(a,c))) != bigC(c,product(c,a),product(c,a))
    | bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) != bigC(c,product(c,a),product(product(b,a),product(a,c)))
    | bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))))),bind(Y,$fot(bigC(c,product(c,a),product(product(b,a),product(a,c))))),bind(Z,$fot(bigC(c,product(c,a),product(c,a))))]]) ).

cnf(refute_0_17738,plain,
    ( bigC(c,product(c,a),product(product(b,a),product(a,c))) != bigC(c,product(c,a),product(c,a))
    | bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))),bigC(c,product(c,a),product(product(b,a),product(a,c)))) )],[refute_0_17736,refute_0_17737]) ).

cnf(refute_0_17739,plain,
    bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) = bigC(c,product(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(product(b,a),product(a,c))),bigC(c,product(c,a),product(c,a))) )],[refute_0_17712,refute_0_17738]) ).

cnf(refute_0_17740,plain,
    ( bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))) != bigC(c,product(c,a),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = bigC(c,product(c,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) ),[1],$fot(bigC(c,product(c,a),product(c,a)))]]) ).

cnf(refute_0_17741,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(a,c),product(product(b,a),product(a,c))),bigC(c,product(c,a),product(c,a))) )],[refute_0_17739,refute_0_17740]) ).

cnf(refute_0_17742,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))) != bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) )],[refute_0_17708,refute_0_17741]) ).

cnf(refute_0_17743,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = bigC(c,product(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(product(b,a),product(a,c))),product(product(b,a),product(a,c))),bigC(product(b,a),product(a,c),product(product(b,a),product(a,c)))) )],[refute_0_17691,refute_0_17742]) ).

cnf(refute_0_17744,plain,
    product(product(c,product(b,a)),a) = product(product(c,product(b,a)),a),
    introduced(tautology,[refl,[$fot(product(product(c,product(b,a)),a))]]) ).

cnf(refute_0_17745,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(product(c,product(b,a)),a) != product(product(c,product(b,a)),a)
    | product(product(c,product(b,a)),a) = product(product(b,product(a,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(b,a)),a),product(product(c,product(b,a)),a)) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_17746,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(product(c,product(b,a)),a) = product(product(b,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),a),product(product(c,product(b,a)),a)) )],[refute_0_17744,refute_0_17745]) ).

cnf(refute_0_17747,plain,
    product(product(c,product(b,a)),a) = product(product(b,product(a,c)),a),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_17746]) ).

cnf(refute_0_17748,plain,
    product(product(c,a),product(product(b,a),a)) = product(product(c,product(b,a)),a),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(product(b,a))),bind(X_66,$fot(a))]]) ).

cnf(refute_0_17749,plain,
    product(product(b,product(a,c)),product(a,a)) = product(product(c,a),product(product(b,a),a)),
    inference(subst,[],[refute_0_4999:[bind(B,$fot(a)),bind(D,$fot(a))]]) ).

cnf(refute_0_17750,plain,
    ( product(product(b,product(a,c)),product(a,a)) != product(product(c,a),product(product(b,a),a))
    | product(product(c,a),product(product(b,a),a)) != product(product(c,product(b,a)),a)
    | product(product(b,product(a,c)),product(a,a)) = product(product(c,product(b,a)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(a,a)))),bind(Y,$fot(product(product(c,a),product(product(b,a),a)))),bind(Z,$fot(product(product(c,product(b,a)),a)))]]) ).

cnf(refute_0_17751,plain,
    ( product(product(c,a),product(product(b,a),a)) != product(product(c,product(b,a)),a)
    | product(product(b,product(a,c)),product(a,a)) = product(product(c,product(b,a)),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(a,a)),product(product(c,a),product(product(b,a),a))) )],[refute_0_17749,refute_0_17750]) ).

cnf(refute_0_17752,plain,
    product(product(b,product(a,c)),product(a,a)) = product(product(c,product(b,a)),a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,a),a)),product(product(c,product(b,a)),a)) )],[refute_0_17748,refute_0_17751]) ).

cnf(refute_0_17753,plain,
    ( product(product(b,product(a,c)),product(a,a)) != product(product(c,product(b,a)),a)
    | product(product(c,product(b,a)),a) != product(product(b,product(a,c)),a)
    | product(product(b,product(a,c)),product(a,a)) = product(product(b,product(a,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(a,a)))),bind(Y,$fot(product(product(c,product(b,a)),a))),bind(Z,$fot(product(product(b,product(a,c)),a)))]]) ).

cnf(refute_0_17754,plain,
    ( product(product(c,product(b,a)),a) != product(product(b,product(a,c)),a)
    | product(product(b,product(a,c)),product(a,a)) = product(product(b,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(a,a)),product(product(c,product(b,a)),a)) )],[refute_0_17752,refute_0_17753]) ).

cnf(refute_0_17755,plain,
    product(product(b,product(a,c)),product(a,a)) = product(product(b,product(a,c)),a),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),a),product(product(b,product(a,c)),a)) )],[refute_0_17747,refute_0_17754]) ).

cnf(refute_0_17756,plain,
    product(product(product(b,c),a),product(c,a)) = product(product(b,product(a,c)),product(a,a)),
    inference(subst,[],[refute_0_12096:[bind(B,$fot(a)),bind(D,$fot(a))]]) ).

cnf(refute_0_17757,plain,
    ( product(product(b,product(a,c)),product(a,a)) != product(product(b,product(a,c)),a)
    | product(product(product(b,c),a),product(c,a)) != product(product(b,product(a,c)),product(a,a))
    | product(product(product(b,c),a),product(c,a)) = product(product(b,product(a,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),a),product(c,a)))),bind(Y,$fot(product(product(b,product(a,c)),product(a,a)))),bind(Z,$fot(product(product(b,product(a,c)),a)))]]) ).

cnf(refute_0_17758,plain,
    ( product(product(b,product(a,c)),product(a,a)) != product(product(b,product(a,c)),a)
    | product(product(product(b,c),a),product(c,a)) = product(product(b,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(c,a)),product(product(b,product(a,c)),product(a,a))) )],[refute_0_17756,refute_0_17757]) ).

cnf(refute_0_17759,plain,
    product(product(product(b,c),a),product(c,a)) = product(product(b,product(a,c)),a),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(a,a)),product(product(b,product(a,c)),a)) )],[refute_0_17755,refute_0_17758]) ).

cnf(refute_0_17760,plain,
    product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)))]]) ).

cnf(refute_0_17761,plain,
    ( difference(product(b,product(a,c)),product(b,a)) != product(product(b,c),a)
    | product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) != product(difference(product(b,product(a,c)),product(b,a)),product(c,a))
    | product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(product(product(b,c),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(difference(product(b,product(a,c)),product(b,a)),product(c,a))) ),[1,0],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_17762,plain,
    ( difference(product(b,product(a,c)),product(b,a)) != product(product(b,c),a)
    | product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(product(product(b,c),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(difference(product(b,product(a,c)),product(b,a)),product(c,a))) )],[refute_0_17760,refute_0_17761]) ).

cnf(refute_0_17763,plain,
    product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(product(product(b,c),a),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(a,c)),product(b,a)),product(product(b,c),a)) )],[refute_0_17662,refute_0_17762]) ).

cnf(refute_0_17764,plain,
    ( product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) != product(product(product(b,c),a),product(c,a))
    | product(product(product(b,c),a),product(c,a)) != product(product(b,product(a,c)),a)
    | product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(product(b,product(a,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)))),bind(Y,$fot(product(product(product(b,c),a),product(c,a)))),bind(Z,$fot(product(product(b,product(a,c)),a)))]]) ).

cnf(refute_0_17765,plain,
    ( product(product(product(b,c),a),product(c,a)) != product(product(b,product(a,c)),a)
    | product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(product(b,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(product(b,c),a),product(c,a))) )],[refute_0_17763,refute_0_17764]) ).

cnf(refute_0_17766,plain,
    product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) = product(product(b,product(a,c)),a),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(c,a)),product(product(b,product(a,c)),a)) )],[refute_0_17759,refute_0_17765]) ).

cnf(refute_0_17767,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),
    introduced(tautology,[refl,[$fot(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)))]]) ).

cnf(refute_0_17768,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) != difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))
    | product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) != product(product(b,product(a,c)),a)
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = difference(product(product(b,product(a,c)),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))) ),[1,0],$fot(product(product(b,product(a,c)),a))]]) ).

cnf(refute_0_17769,plain,
    ( product(difference(product(b,product(a,c)),product(b,a)),product(c,a)) != product(product(b,product(a,c)),a)
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = difference(product(product(b,product(a,c)),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a))) )],[refute_0_17767,refute_0_17768]) ).

cnf(refute_0_17770,plain,
    difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) = difference(product(product(b,product(a,c)),a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(product(b,product(a,c)),a)) )],[refute_0_17766,refute_0_17769]) ).

cnf(refute_0_17771,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) != bigC(c,product(c,a),product(c,a))
    | difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) != difference(product(product(b,product(a,c)),a),product(c,a))
    | difference(product(product(b,product(a,c)),a),product(c,a)) = bigC(c,product(c,a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),bigC(c,product(c,a),product(c,a))) ),[0],$fot(difference(product(product(b,product(a,c)),a),product(c,a)))]]) ).

cnf(refute_0_17772,plain,
    ( difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)) != bigC(c,product(c,a),product(c,a))
    | difference(product(product(b,product(a,c)),a),product(c,a)) = bigC(c,product(c,a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),difference(product(product(b,product(a,c)),a),product(c,a))) )],[refute_0_17770,refute_0_17771]) ).

cnf(refute_0_17773,plain,
    difference(product(product(b,product(a,c)),a),product(c,a)) = bigC(c,product(c,a),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(b,product(a,c)),product(b,a)),product(c,a)),product(c,a)),bigC(c,product(c,a),product(c,a))) )],[refute_0_17743,refute_0_17772]) ).

cnf(refute_0_17774,plain,
    ( bigC(c,product(c,a),product(c,a)) != product(c,bigC(a,a,c))
    | difference(product(product(b,product(a,c)),a),product(c,a)) != bigC(c,product(c,a),product(c,a))
    | difference(product(product(b,product(a,c)),a),product(c,a)) = product(c,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(a,c)),a),product(c,a)),bigC(c,product(c,a),product(c,a))) ),[1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_17775,plain,
    ( difference(product(product(b,product(a,c)),a),product(c,a)) != bigC(c,product(c,a),product(c,a))
    | difference(product(product(b,product(a,c)),a),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,a),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_8662,refute_0_17774]) ).

cnf(refute_0_17776,plain,
    difference(product(product(b,product(a,c)),a),product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),a),product(c,a)),bigC(c,product(c,a),product(c,a))) )],[refute_0_17773,refute_0_17775]) ).

cnf(refute_0_17777,plain,
    product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))))]]) ).

cnf(refute_0_17778,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(c,a)
    | product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) != product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a)))
    | product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(product(b,c),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_17779,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(c,a)
    | product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(product(b,c),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a)))) )],[refute_0_17777,refute_0_17778]) ).

cnf(refute_0_17780,plain,
    product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(product(b,c),a),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,c),a)),product(c,a)) )],[refute_0_17672,refute_0_17779]) ).

cnf(refute_0_17781,plain,
    ( product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) != product(product(product(b,c),a),product(c,a))
    | product(product(product(b,c),a),product(c,a)) != product(product(b,product(a,c)),a)
    | product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(b,product(a,c)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))))),bind(Y,$fot(product(product(product(b,c),a),product(c,a)))),bind(Z,$fot(product(product(b,product(a,c)),a)))]]) ).

cnf(refute_0_17782,plain,
    ( product(product(product(b,c),a),product(c,a)) != product(product(b,product(a,c)),a)
    | product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(b,product(a,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(product(product(b,c),a),product(c,a))) )],[refute_0_17780,refute_0_17781]) ).

cnf(refute_0_17783,plain,
    product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) = product(product(b,product(a,c)),a),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(c,a)),product(product(b,product(a,c)),a)) )],[refute_0_17759,refute_0_17782]) ).

cnf(refute_0_17784,plain,
    difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)))]]) ).

cnf(refute_0_17785,plain,
    ( difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) != difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a))
    | product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) != product(product(b,product(a,c)),a)
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = difference(product(product(b,product(a,c)),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a))) ),[1,0],$fot(product(product(b,product(a,c)),a))]]) ).

cnf(refute_0_17786,plain,
    ( product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))) != product(product(b,product(a,c)),a)
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = difference(product(product(b,product(a,c)),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a))) )],[refute_0_17784,refute_0_17785]) ).

cnf(refute_0_17787,plain,
    difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = difference(product(product(b,product(a,c)),a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(product(b,product(a,c)),a)) )],[refute_0_17783,refute_0_17786]) ).

cnf(refute_0_17788,plain,
    ( difference(product(product(b,product(a,c)),a),product(c,a)) != product(c,bigC(a,a,c))
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) != difference(product(product(b,product(a,c)),a),product(c,a))
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)))),bind(Y,$fot(difference(product(product(b,product(a,c)),a),product(c,a)))),bind(Z,$fot(product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_17789,plain,
    ( difference(product(product(b,product(a,c)),a),product(c,a)) != product(c,bigC(a,a,c))
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = product(c,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),difference(product(product(b,product(a,c)),a),product(c,a))) )],[refute_0_17787,refute_0_17788]) ).

cnf(refute_0_17790,plain,
    difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),a),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_17776,refute_0_17789]) ).

cnf(refute_0_17791,plain,
    ( difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) != product(c,bigC(a,a,c))
    | difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(c,bigC(a,a,c)) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) ),[0],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_17792,plain,
    ( difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(c,bigC(a,a,c)) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),product(c,bigC(a,a,c))) )],[refute_0_17790,refute_0_17791]) ).

cnf(refute_0_17793,plain,
    product(bigC(b,b,c),product(a,a)) = product(bigC(b,b,c),product(a,a)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,c),product(a,a)))]]) ).

cnf(refute_0_17794,plain,
    ( product(a,a) != a
    | product(bigC(b,b,c),product(a,a)) != product(bigC(b,b,c),product(a,a))
    | product(bigC(b,b,c),product(a,a)) = product(bigC(b,b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),product(a,a)),product(bigC(b,b,c),product(a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_17795,plain,
    ( product(a,a) != a
    | product(bigC(b,b,c),product(a,a)) = product(bigC(b,b,c),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(a,a)),product(bigC(b,b,c),product(a,a))) )],[refute_0_17793,refute_0_17794]) ).

cnf(refute_0_17796,plain,
    product(bigC(b,b,c),product(a,a)) = product(bigC(b,b,c),a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_17795]) ).

cnf(refute_0_17797,plain,
    product(bigC(b,c,b),product(a,a)) = product(bigC(b,c,b),product(a,a)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,b),product(a,a)))]]) ).

cnf(refute_0_17798,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(a,a)) != product(bigC(b,c,b),product(a,a))
    | product(bigC(b,c,b),product(a,a)) = product(bigC(b,b,c),product(a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,b),product(a,a)),product(bigC(b,c,b),product(a,a))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_17799,plain,
    ( bigC(b,c,b) != bigC(b,b,c)
    | product(bigC(b,c,b),product(a,a)) = product(bigC(b,b,c),product(a,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(a,a)),product(bigC(b,c,b),product(a,a))) )],[refute_0_17797,refute_0_17798]) ).

cnf(refute_0_17800,plain,
    product(bigC(b,c,b),product(a,a)) = product(bigC(b,b,c),product(a,a)),
    inference(resolve,[$cnf( $equal(bigC(b,c,b),bigC(b,b,c)) )],[refute_0_1197,refute_0_17799]) ).

cnf(refute_0_17801,plain,
    ( product(bigC(b,b,c),product(a,a)) != product(bigC(b,b,c),a)
    | product(bigC(b,c,b),product(a,a)) != product(bigC(b,b,c),product(a,a))
    | product(bigC(b,c,b),product(a,a)) = product(bigC(b,b,c),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,c,b),product(a,a)))),bind(Y,$fot(product(bigC(b,b,c),product(a,a)))),bind(Z,$fot(product(bigC(b,b,c),a)))]]) ).

cnf(refute_0_17802,plain,
    ( product(bigC(b,b,c),product(a,a)) != product(bigC(b,b,c),a)
    | product(bigC(b,c,b),product(a,a)) = product(bigC(b,b,c),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(a,a)),product(bigC(b,b,c),product(a,a))) )],[refute_0_17800,refute_0_17801]) ).

cnf(refute_0_17803,plain,
    product(bigC(b,c,b),product(a,a)) = product(bigC(b,b,c),a),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(a,a)),product(bigC(b,b,c),a)) )],[refute_0_17796,refute_0_17802]) ).

cnf(refute_0_17804,plain,
    product(product(product(b,c),a),product(b,a)) = product(bigC(b,c,b),product(a,a)),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(a)),bind(C,$fot(b)),bind(D,$fot(a)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_17805,plain,
    ( product(bigC(b,c,b),product(a,a)) != product(bigC(b,b,c),a)
    | product(product(product(b,c),a),product(b,a)) != product(bigC(b,c,b),product(a,a))
    | product(product(product(b,c),a),product(b,a)) = product(bigC(b,b,c),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),a),product(b,a)))),bind(Y,$fot(product(bigC(b,c,b),product(a,a)))),bind(Z,$fot(product(bigC(b,b,c),a)))]]) ).

cnf(refute_0_17806,plain,
    ( product(bigC(b,c,b),product(a,a)) != product(bigC(b,b,c),a)
    | product(product(product(b,c),a),product(b,a)) = product(bigC(b,b,c),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(b,a)),product(bigC(b,c,b),product(a,a))) )],[refute_0_17804,refute_0_17805]) ).

cnf(refute_0_17807,plain,
    product(product(product(b,c),a),product(b,a)) = product(bigC(b,b,c),a),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,b),product(a,a)),product(bigC(b,b,c),a)) )],[refute_0_17803,refute_0_17806]) ).

cnf(refute_0_17808,plain,
    difference(product(b,a),product(product(product(b,c),a),product(b,a))) = difference(product(b,a),product(product(product(b,c),a),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),product(product(product(b,c),a),product(b,a))))]]) ).

cnf(refute_0_17809,plain,
    ( difference(product(b,a),product(product(product(b,c),a),product(b,a))) != difference(product(b,a),product(product(product(b,c),a),product(b,a)))
    | product(product(product(b,c),a),product(b,a)) != product(bigC(b,b,c),a)
    | difference(product(b,a),product(product(product(b,c),a),product(b,a))) = difference(product(b,a),product(bigC(b,b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(product(product(b,c),a),product(b,a))),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),[1,1],$fot(product(bigC(b,b,c),a))]]) ).

cnf(refute_0_17810,plain,
    ( product(product(product(b,c),a),product(b,a)) != product(bigC(b,b,c),a)
    | difference(product(b,a),product(product(product(b,c),a),product(b,a))) = difference(product(b,a),product(bigC(b,b,c),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(product(b,c),a),product(b,a))),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) )],[refute_0_17808,refute_0_17809]) ).

cnf(refute_0_17811,plain,
    difference(product(b,a),product(product(product(b,c),a),product(b,a))) = difference(product(b,a),product(bigC(b,b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(b,a)),product(bigC(b,b,c),a)) )],[refute_0_17807,refute_0_17810]) ).

cnf(refute_0_17812,plain,
    product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))))]]) ).

cnf(refute_0_17813,plain,
    ( difference(product(b,a),product(product(product(b,c),a),product(b,a))) != difference(product(b,a),product(bigC(b,b,c),a))
    | product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) != product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) ),[1,1],$fot(difference(product(b,a),product(bigC(b,b,c),a)))]]) ).

cnf(refute_0_17814,plain,
    ( difference(product(b,a),product(product(product(b,c),a),product(b,a))) != difference(product(b,a),product(bigC(b,b,c),a))
    | product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) )],[refute_0_17812,refute_0_17813]) ).

cnf(refute_0_17815,plain,
    product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(product(b,c),a),product(b,a))),difference(product(b,a),product(bigC(b,b,c),a))) )],[refute_0_17811,refute_0_17814]) ).

cnf(refute_0_17816,plain,
    product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))))]]) ).

cnf(refute_0_17817,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(c,a)
    | product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_17818,plain,
    ( difference(product(b,a),product(product(b,c),a)) != product(c,a)
    | product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) )],[refute_0_17816,refute_0_17817]) ).

cnf(refute_0_17819,plain,
    product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,c),a)),product(c,a)) )],[refute_0_17672,refute_0_17818]) ).

cnf(refute_0_17820,plain,
    ( product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) != product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) != product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))
    | product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))))),bind(Y,$fot(product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))))),bind(Z,$fot(product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))))]]) ).

cnf(refute_0_17821,plain,
    ( product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) != product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))
    | product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) )],[refute_0_17819,refute_0_17820]) ).

cnf(refute_0_17822,plain,
    product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) )],[refute_0_17815,refute_0_17821]) ).

cnf(refute_0_17823,plain,
    ( product(c,bigC(a,a,c)) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))) != product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))
    | product(c,bigC(a,a,c)) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(a,a,c)),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) ),[0],$fot(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))))]]) ).

cnf(refute_0_17824,plain,
    ( product(c,bigC(a,a,c)) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(c,bigC(a,a,c)) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a)))),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) )],[refute_0_17822,refute_0_17823]) ).

cnf(refute_0_17825,plain,
    ( difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)) != product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))
    | product(c,bigC(a,a,c)) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,c)),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) )],[refute_0_17792,refute_0_17824]) ).

cnf(refute_0_17826,plain,
    product(c,bigC(a,a,c)) = product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(b,c),a),difference(product(b,a),product(product(b,c),a))),product(c,a)),product(difference(product(b,a),product(product(b,c),a)),difference(product(b,a),product(product(product(b,c),a),product(b,a))))) )],[refute_0_17675,refute_0_17825]) ).

cnf(refute_0_17827,plain,
    ( product(c,bigC(a,a,c)) != product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))
    | product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) = product(c,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,a,c)))),bind(Y,$fot(product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))))]]) ).

cnf(refute_0_17828,plain,
    product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) = product(c,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,c)),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) )],[refute_0_17826,refute_0_17827]) ).

cnf(refute_0_17829,plain,
    ( difference(product(c,a),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) != difference(product(b,a),product(bigC(b,b,c),a))
    | product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))) != product(c,bigC(a,a,c))
    | difference(product(c,a),product(c,bigC(a,a,c))) = difference(product(b,a),product(bigC(b,b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))),difference(product(b,a),product(bigC(b,b,c),a))) ),[0,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_17830,plain,
    ( difference(product(c,a),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))) != difference(product(b,a),product(bigC(b,b,c),a))
    | difference(product(c,a),product(c,bigC(a,a,c))) = difference(product(b,a),product(bigC(b,b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a))),product(c,bigC(a,a,c))) )],[refute_0_17828,refute_0_17829]) ).

cnf(refute_0_17831,plain,
    difference(product(c,a),product(c,bigC(a,a,c))) = difference(product(b,a),product(bigC(b,b,c),a)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(c,a),difference(product(b,a),product(bigC(b,b,c),a)))),difference(product(b,a),product(bigC(b,b,c),a))) )],[refute_0_17629,refute_0_17830]) ).

cnf(refute_0_17832,plain,
    difference(product(c,a),bigC(a,c,product(b,a))) = difference(product(c,a),bigC(a,c,product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(c,a),bigC(a,c,product(b,a))))]]) ).

cnf(refute_0_17833,plain,
    ( bigC(a,c,product(b,a)) != product(c,bigC(a,a,c))
    | difference(product(c,a),bigC(a,c,product(b,a))) != difference(product(c,a),bigC(a,c,product(b,a)))
    | difference(product(c,a),bigC(a,c,product(b,a))) = difference(product(c,a),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a)))) ),[1,1],$fot(product(c,bigC(a,a,c)))]]) ).

cnf(refute_0_17834,plain,
    ( bigC(a,c,product(b,a)) != product(c,bigC(a,a,c))
    | difference(product(c,a),bigC(a,c,product(b,a))) = difference(product(c,a),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),bigC(a,c,product(b,a)))) )],[refute_0_17832,refute_0_17833]) ).

cnf(refute_0_17835,plain,
    difference(product(c,a),bigC(a,c,product(b,a))) = difference(product(c,a),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(b,a)),product(c,bigC(a,a,c))) )],[refute_0_6223,refute_0_17834]) ).

cnf(refute_0_17836,plain,
    ( difference(product(c,a),bigC(a,c,product(b,a))) != difference(product(c,a),product(c,bigC(a,a,c)))
    | product(c,product(c,a)) != difference(product(c,a),bigC(a,c,product(b,a)))
    | product(c,product(c,a)) = difference(product(c,a),product(c,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(c,a)),difference(product(c,a),bigC(a,c,product(b,a)))) ),[1],$fot(difference(product(c,a),product(c,bigC(a,a,c))))]]) ).

cnf(refute_0_17837,plain,
    ( product(c,product(c,a)) != difference(product(c,a),bigC(a,c,product(b,a)))
    | product(c,product(c,a)) = difference(product(c,a),product(c,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),bigC(a,c,product(b,a))),difference(product(c,a),product(c,bigC(a,a,c)))) )],[refute_0_17835,refute_0_17836]) ).

cnf(refute_0_17838,plain,
    product(c,product(c,a)) = difference(product(c,a),product(c,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),difference(product(c,a),bigC(a,c,product(b,a)))) )],[refute_0_6170,refute_0_17837]) ).

cnf(refute_0_17839,plain,
    ( product(c,product(c,a)) != difference(product(c,a),product(c,bigC(a,a,c)))
    | difference(product(c,a),product(c,bigC(a,a,c))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(difference(product(c,a),product(c,bigC(a,a,c)))))]]) ).

cnf(refute_0_17840,plain,
    difference(product(c,a),product(c,bigC(a,a,c))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),difference(product(c,a),product(c,bigC(a,a,c)))) )],[refute_0_17838,refute_0_17839]) ).

cnf(refute_0_17841,plain,
    ( difference(product(c,a),product(c,bigC(a,a,c))) != difference(product(b,a),product(bigC(b,b,c),a))
    | difference(product(c,a),product(c,bigC(a,a,c))) != product(c,product(c,a))
    | product(c,product(c,a)) = difference(product(b,a),product(bigC(b,b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,a),product(c,bigC(a,a,c))),difference(product(b,a),product(bigC(b,b,c),a))) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_17842,plain,
    ( difference(product(c,a),product(c,bigC(a,a,c))) != difference(product(b,a),product(bigC(b,b,c),a))
    | product(c,product(c,a)) = difference(product(b,a),product(bigC(b,b,c),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,bigC(a,a,c))),product(c,product(c,a))) )],[refute_0_17840,refute_0_17841]) ).

cnf(refute_0_17843,plain,
    product(c,product(c,a)) = difference(product(b,a),product(bigC(b,b,c),a)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,bigC(a,a,c))),difference(product(b,a),product(bigC(b,b,c),a))) )],[refute_0_17831,refute_0_17842]) ).

cnf(refute_0_17844,plain,
    ( product(c,product(c,a)) != difference(product(b,a),product(bigC(b,b,c),a))
    | difference(product(b,a),product(bigC(b,b,c),a)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(difference(product(b,a),product(bigC(b,b,c),a))))]]) ).

cnf(refute_0_17845,plain,
    difference(product(b,a),product(bigC(b,b,c),a)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),difference(product(b,a),product(bigC(b,b,c),a))) )],[refute_0_17843,refute_0_17844]) ).

cnf(refute_0_17846,plain,
    ( bigC(product(b,a),difference(product(b,a),product(bigC(b,b,c),a)),X_23) != product(product(bigC(b,b,c),a),product(X_23,product(b,a)))
    | difference(product(b,a),product(bigC(b,b,c),a)) != product(c,product(c,a))
    | bigC(product(b,a),product(c,product(c,a)),X_23) = product(product(bigC(b,b,c),a),product(X_23,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(bigC(b,b,c),a)),X_23),product(product(bigC(b,b,c),a),product(X_23,product(b,a)))) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_17847,plain,
    ( bigC(product(b,a),difference(product(b,a),product(bigC(b,b,c),a)),X_23) != product(product(bigC(b,b,c),a),product(X_23,product(b,a)))
    | bigC(product(b,a),product(c,product(c,a)),X_23) = product(product(bigC(b,b,c),a),product(X_23,product(b,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(bigC(b,b,c),a)),product(c,product(c,a))) )],[refute_0_17845,refute_0_17846]) ).

cnf(refute_0_17848,plain,
    bigC(product(b,a),product(c,product(c,a)),X_23) = product(product(bigC(b,b,c),a),product(X_23,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),difference(product(b,a),product(bigC(b,b,c),a)),X_23),product(product(bigC(b,b,c),a),product(X_23,product(b,a)))) )],[refute_0_17628,refute_0_17847]) ).

cnf(refute_0_17849,plain,
    product(product(bigC(b,b,c),a),product(X_23,product(b,a))) = product(product(bigC(b,b,c),X_23),bigC(a,a,b)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(a)),bind(C,$fot(X_23)),bind(X_84,$fot(b))]]) ).

cnf(refute_0_17850,plain,
    ( bigC(product(b,a),product(c,product(c,a)),X_23) != product(product(bigC(b,b,c),a),product(X_23,product(b,a)))
    | product(product(bigC(b,b,c),a),product(X_23,product(b,a))) != product(product(bigC(b,b,c),X_23),bigC(a,a,b))
    | bigC(product(b,a),product(c,product(c,a)),X_23) = product(product(bigC(b,b,c),X_23),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),product(c,product(c,a)),X_23),product(product(bigC(b,b,c),X_23),bigC(a,a,b))) ),[0],$fot(product(product(bigC(b,b,c),a),product(X_23,product(b,a))))]]) ).

cnf(refute_0_17851,plain,
    ( bigC(product(b,a),product(c,product(c,a)),X_23) != product(product(bigC(b,b,c),a),product(X_23,product(b,a)))
    | bigC(product(b,a),product(c,product(c,a)),X_23) = product(product(bigC(b,b,c),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),a),product(X_23,product(b,a))),product(product(bigC(b,b,c),X_23),bigC(a,a,b))) )],[refute_0_17849,refute_0_17850]) ).

cnf(refute_0_17852,plain,
    bigC(product(b,a),product(c,product(c,a)),X_23) = product(product(bigC(b,b,c),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,product(c,a)),X_23),product(product(bigC(b,b,c),a),product(X_23,product(b,a)))) )],[refute_0_17848,refute_0_17851]) ).

cnf(refute_0_17853,plain,
    ( bigC(product(b,a),product(c,product(c,a)),X_23) != product(product(bigC(b,b,c),X_23),bigC(a,a,b))
    | product(product(bigC(b,b,c),X_23),bigC(a,a,b)) = bigC(product(b,a),product(c,product(c,a)),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,a),product(c,product(c,a)),X_23))),bind(Y,$fot(product(product(bigC(b,b,c),X_23),bigC(a,a,b))))]]) ).

cnf(refute_0_17854,plain,
    product(product(bigC(b,b,c),X_23),bigC(a,a,b)) = bigC(product(b,a),product(c,product(c,a)),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,product(c,a)),X_23),product(product(bigC(b,b,c),X_23),bigC(a,a,b))) )],[refute_0_17852,refute_0_17853]) ).

cnf(refute_0_17855,plain,
    product(product(bigC(b,b,c),c),bigC(a,a,b)) = bigC(product(b,a),product(c,product(c,a)),c),
    inference(subst,[],[refute_0_17854:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_17856,plain,
    ( bigC(product(b,a),product(c,product(c,a)),c) != bigC(product(b,a),c,product(c,product(c,a)))
    | product(product(bigC(b,b,c),c),bigC(a,a,b)) != bigC(product(b,a),product(c,product(c,a)),c)
    | product(product(bigC(b,b,c),c),bigC(a,a,b)) = bigC(product(b,a),c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,b,c),c),bigC(a,a,b)))),bind(Y,$fot(bigC(product(b,a),product(c,product(c,a)),c))),bind(Z,$fot(bigC(product(b,a),c,product(c,product(c,a)))))]]) ).

cnf(refute_0_17857,plain,
    ( bigC(product(b,a),product(c,product(c,a)),c) != bigC(product(b,a),c,product(c,product(c,a)))
    | product(product(bigC(b,b,c),c),bigC(a,a,b)) = bigC(product(b,a),c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),bigC(a,a,b)),bigC(product(b,a),product(c,product(c,a)),c)) )],[refute_0_17855,refute_0_17856]) ).

cnf(refute_0_17858,plain,
    product(product(bigC(b,b,c),c),bigC(a,a,b)) = bigC(product(b,a),c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),product(c,product(c,a)),c),bigC(product(b,a),c,product(c,product(c,a)))) )],[refute_0_17627,refute_0_17857]) ).

cnf(refute_0_17859,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[0,0],$fot(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_17860,plain,
    ( quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_17626,refute_0_17859]) ).

cnf(refute_0_17861,plain,
    quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_16952,refute_0_17860]) ).

cnf(refute_0_17862,plain,
    quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) = product(product(product(c,b),b),bigC(a,a,b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(product(c,b),b),bigC(a,a,b)))),bind(B,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_17863,plain,
    ( quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) != product(product(product(c,b),b),bigC(a,a,b))
    | product(product(product(c,b),b),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[0],$fot(product(product(product(c,b),b),bigC(a,a,b)))]]) ).

cnf(refute_0_17864,plain,
    ( quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(product(product(c,b),b),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)),product(product(product(c,b),b),bigC(a,a,b))) )],[refute_0_17862,refute_0_17863]) ).

cnf(refute_0_17865,plain,
    quotient(product(b,c),difference(bigC(c,b,product(b,a)),product(b,c))) = bigC(c,b,product(b,a)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(b,c))),bind(X_6,$fot(bigC(c,b,product(b,a))))]]) ).

cnf(refute_0_17866,plain,
    difference(product(product(b,product(a,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(b,a),product(b,product(a,c)))) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(b,product(a,c)))),bind(X_32,$fot(product(b,a)))]]) ).

cnf(refute_0_17867,plain,
    ( difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | difference(product(product(b,product(a,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(b,a),product(b,product(a,c)))) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(a,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(b,a),product(b,product(a,c)))),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) ),[0,0,1],$fot(product(b,c))]]) ).

cnf(refute_0_17868,plain,
    ( difference(product(product(b,product(a,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(b,a),product(b,product(a,c)))) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,product(a,c))),product(b,c)) )],[refute_0_3645,refute_0_17867]) ).

cnf(refute_0_17869,plain,
    difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(b,a),product(b,product(a,c)))),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) )],[refute_0_17866,refute_0_17868]) ).

cnf(refute_0_17870,plain,
    difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_17871,plain,
    ( difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) != difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c))))
    | difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))),difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c))))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_17872,plain,
    ( difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))),difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_17870,refute_0_17871]) ).

cnf(refute_0_17873,plain,
    difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,product(a,c))),product(b,c)) )],[refute_0_3645,refute_0_17872]) ).

cnf(refute_0_17874,plain,
    bigC(c,product(b,a),b) = bigC(c,b,product(b,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_17875,plain,
    product(product(b,product(a,c)),product(b,c)) = bigC(c,product(b,a),b),
    inference(subst,[],[refute_0_4172:[bind(C,$fot(b))]]) ).

cnf(refute_0_17876,plain,
    ( bigC(c,product(b,a),b) != bigC(c,b,product(b,a))
    | product(product(b,product(a,c)),product(b,c)) != bigC(c,product(b,a),b)
    | product(product(b,product(a,c)),product(b,c)) = bigC(c,b,product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(b,c)))),bind(Y,$fot(bigC(c,product(b,a),b))),bind(Z,$fot(bigC(c,b,product(b,a))))]]) ).

cnf(refute_0_17877,plain,
    ( bigC(c,product(b,a),b) != bigC(c,b,product(b,a))
    | product(product(b,product(a,c)),product(b,c)) = bigC(c,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(b,c)),bigC(c,product(b,a),b)) )],[refute_0_17875,refute_0_17876]) ).

cnf(refute_0_17878,plain,
    product(product(b,product(a,c)),product(b,c)) = bigC(c,b,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(b,a),b),bigC(c,b,product(b,a))) )],[refute_0_17874,refute_0_17877]) ).

cnf(refute_0_17879,plain,
    difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),
    introduced(tautology,[refl,[$fot(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))))]]) ).

cnf(refute_0_17880,plain,
    ( difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) != difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c))))
    | product(product(b,product(a,c)),product(b,c)) != bigC(c,b,product(b,a))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c))))) ),[1,0],$fot(bigC(c,b,product(b,a)))]]) ).

cnf(refute_0_17881,plain,
    ( product(product(b,product(a,c)),product(b,c)) != bigC(c,b,product(b,a))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_17879,refute_0_17880]) ).

cnf(refute_0_17882,plain,
    difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(b,c)),bigC(c,b,product(b,a))) )],[refute_0_17878,refute_0_17881]) ).

cnf(refute_0_17883,plain,
    ( difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) != difference(bigC(c,b,product(b,a)),product(b,c))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) != difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c))))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))))),bind(Y,$fot(difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))))),bind(Z,$fot(difference(bigC(c,b,product(b,a)),product(b,c))))]]) ).

cnf(refute_0_17884,plain,
    ( difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))) != difference(bigC(c,b,product(b,a)),product(b,c))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c))))) )],[refute_0_17882,refute_0_17883]) ).

cnf(refute_0_17885,plain,
    difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) = difference(bigC(c,b,product(b,a)),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,a)),difference(product(b,a),product(b,product(a,c)))),difference(bigC(c,b,product(b,a)),product(b,c))) )],[refute_0_17873,refute_0_17884]) ).

cnf(refute_0_17886,plain,
    ( difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) != difference(bigC(c,b,product(b,a)),product(b,c))
    | difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | difference(bigC(c,b,product(b,a)),product(b,c)) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) ),[0],$fot(difference(bigC(c,b,product(b,a)),product(b,c)))]]) ).

cnf(refute_0_17887,plain,
    ( difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | difference(bigC(c,b,product(b,a)),product(b,c)) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),difference(bigC(c,b,product(b,a)),product(b,c))) )],[refute_0_17885,refute_0_17886]) ).

cnf(refute_0_17888,plain,
    product(product(b,c),product(b,product(c,a))) = product(b,product(c,product(c,a))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_17889,plain,
    product(quotient(product(b,product(c,a)),product(b,a)),product(b,a)) = product(b,product(c,a)),
    inference(subst,[],[sos04:[bind(A,$fot(product(b,product(c,a)))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_17890,plain,
    ( product(quotient(product(b,product(c,a)),product(b,a)),product(b,a)) != product(b,product(c,a))
    | quotient(product(b,product(c,a)),product(b,a)) != difference(product(b,a),product(b,product(a,c)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,product(c,a)),product(b,a)),product(b,a)),product(b,product(c,a))) ),[0,0],$fot(difference(product(b,a),product(b,product(a,c))))]]) ).

cnf(refute_0_17891,plain,
    ( product(quotient(product(b,product(c,a)),product(b,a)),product(b,a)) != product(b,product(c,a))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,product(c,a)),product(b,a)),difference(product(b,a),product(b,product(a,c)))) )],[refute_0_2842,refute_0_17890]) ).

cnf(refute_0_17892,plain,
    product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,product(c,a)),product(b,a)),product(b,a)),product(b,product(c,a))) )],[refute_0_17889,refute_0_17891]) ).

cnf(refute_0_17893,plain,
    product(b,product(product(a,c),a)) = product(b,product(product(a,c),a)),
    introduced(tautology,[refl,[$fot(product(b,product(product(a,c),a)))]]) ).

cnf(refute_0_17894,plain,
    ( product(b,product(product(a,c),a)) != product(b,product(product(a,c),a))
    | product(product(a,c),a) != bigC(a,a,c)
    | product(b,product(product(a,c),a)) = product(b,bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(a,c),a)),product(b,product(product(a,c),a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_17895,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(b,product(product(a,c),a)) = product(b,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),a)),product(b,product(product(a,c),a))) )],[refute_0_17893,refute_0_17894]) ).

cnf(refute_0_17896,plain,
    product(b,product(product(a,c),a)) = product(b,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_380,refute_0_17895]) ).

cnf(refute_0_17897,plain,
    product(product(b,b),product(product(a,c),a)) = product(product(b,b),product(product(a,c),a)),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(product(a,c),a)))]]) ).

cnf(refute_0_17898,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(a,c),a)) != product(product(b,b),product(product(a,c),a))
    | product(product(b,b),product(product(a,c),a)) = product(b,product(product(a,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(product(a,c),a)),product(product(b,b),product(product(a,c),a))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_17899,plain,
    ( product(b,b) != b
    | product(product(b,b),product(product(a,c),a)) = product(b,product(product(a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(a,c),a)),product(product(b,b),product(product(a,c),a))) )],[refute_0_17897,refute_0_17898]) ).

cnf(refute_0_17900,plain,
    product(product(b,b),product(product(a,c),a)) = product(b,product(product(a,c),a)),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_17899]) ).

cnf(refute_0_17901,plain,
    ( product(b,product(product(a,c),a)) != product(b,bigC(a,a,c))
    | product(product(b,b),product(product(a,c),a)) != product(b,product(product(a,c),a))
    | product(product(b,b),product(product(a,c),a)) = product(b,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,b),product(product(a,c),a)))),bind(Y,$fot(product(b,product(product(a,c),a)))),bind(Z,$fot(product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_17902,plain,
    ( product(b,product(product(a,c),a)) != product(b,bigC(a,a,c))
    | product(product(b,b),product(product(a,c),a)) = product(b,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(a,c),a)),product(b,product(product(a,c),a))) )],[refute_0_17900,refute_0_17901]) ).

cnf(refute_0_17903,plain,
    product(product(b,b),product(product(a,c),a)) = product(b,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),a)),product(b,bigC(a,a,c))) )],[refute_0_17896,refute_0_17902]) ).

cnf(refute_0_17904,plain,
    difference(product(b,a),product(product(b,b),product(product(a,c),a))) = difference(product(b,a),product(product(b,b),product(product(a,c),a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),product(product(b,b),product(product(a,c),a))))]]) ).

cnf(refute_0_17905,plain,
    ( difference(product(b,a),product(product(b,b),product(product(a,c),a))) != difference(product(b,a),product(product(b,b),product(product(a,c),a)))
    | product(product(b,b),product(product(a,c),a)) != product(b,bigC(a,a,c))
    | difference(product(b,a),product(product(b,b),product(product(a,c),a))) = difference(product(b,a),product(b,bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(product(b,b),product(product(a,c),a))),difference(product(b,a),product(product(b,b),product(product(a,c),a)))) ),[1,1],$fot(product(b,bigC(a,a,c)))]]) ).

cnf(refute_0_17906,plain,
    ( product(product(b,b),product(product(a,c),a)) != product(b,bigC(a,a,c))
    | difference(product(b,a),product(product(b,b),product(product(a,c),a))) = difference(product(b,a),product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,b),product(product(a,c),a))),difference(product(b,a),product(product(b,b),product(product(a,c),a)))) )],[refute_0_17904,refute_0_17905]) ).

cnf(refute_0_17907,plain,
    difference(product(b,a),product(product(b,b),product(product(a,c),a))) = difference(product(b,a),product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(product(a,c),a)),product(b,bigC(a,a,c))) )],[refute_0_17903,refute_0_17906]) ).

cnf(refute_0_17908,plain,
    difference(product(b,a),product(product(b,product(a,c)),product(b,a))) = difference(product(b,a),product(product(b,b),product(product(a,c),a))),
    inference(subst,[],[refute_0_3844:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(a,c))),bind(D,$fot(a))]]) ).

cnf(refute_0_17909,plain,
    product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(product(b,product(a,c)),product(b,a))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(b,product(a,c)))),bind(X_74,$fot(product(b,a)))]]) ).

cnf(refute_0_17910,plain,
    ( difference(product(b,a),product(product(b,product(a,c)),product(b,a))) != difference(product(b,a),product(product(b,b),product(product(a,c),a)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) != difference(product(b,a),product(product(b,product(a,c)),product(b,a)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(product(b,b),product(product(a,c),a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(b,product(a,c))),product(b,a)))),bind(Y,$fot(difference(product(b,a),product(product(b,product(a,c)),product(b,a))))),bind(Z,$fot(difference(product(b,a),product(product(b,b),product(product(a,c),a)))))]]) ).

cnf(refute_0_17911,plain,
    ( difference(product(b,a),product(product(b,product(a,c)),product(b,a))) != difference(product(b,a),product(product(b,b),product(product(a,c),a)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(product(b,b),product(product(a,c),a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),product(b,a)),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) )],[refute_0_17909,refute_0_17910]) ).

cnf(refute_0_17912,plain,
    product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(product(b,b),product(product(a,c),a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,product(a,c)),product(b,a))),difference(product(b,a),product(product(b,b),product(product(a,c),a)))) )],[refute_0_17908,refute_0_17911]) ).

cnf(refute_0_17913,plain,
    ( difference(product(b,a),product(product(b,b),product(product(a,c),a))) != difference(product(b,a),product(b,bigC(a,a,c)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) != difference(product(b,a),product(product(b,b),product(product(a,c),a)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(b,bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(b,product(a,c))),product(b,a)))),bind(Y,$fot(difference(product(b,a),product(product(b,b),product(product(a,c),a))))),bind(Z,$fot(difference(product(b,a),product(b,bigC(a,a,c)))))]]) ).

cnf(refute_0_17914,plain,
    ( difference(product(b,a),product(product(b,b),product(product(a,c),a))) != difference(product(b,a),product(b,bigC(a,a,c)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(b,bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),product(b,a)),difference(product(b,a),product(product(b,b),product(product(a,c),a)))) )],[refute_0_17912,refute_0_17913]) ).

cnf(refute_0_17915,plain,
    product(difference(product(b,a),product(b,product(a,c))),product(b,a)) = difference(product(b,a),product(b,bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,b),product(product(a,c),a))),difference(product(b,a),product(b,bigC(a,a,c)))) )],[refute_0_17907,refute_0_17914]) ).

cnf(refute_0_17916,plain,
    ( product(difference(product(b,a),product(b,product(a,c))),product(b,a)) != difference(product(b,a),product(b,bigC(a,a,c)))
    | product(difference(product(b,a),product(b,product(a,c))),product(b,a)) != product(b,product(c,a))
    | difference(product(b,a),product(b,bigC(a,a,c))) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),product(b,a)),product(b,product(c,a))) ),[0],$fot(difference(product(b,a),product(b,bigC(a,a,c))))]]) ).

cnf(refute_0_17917,plain,
    ( product(difference(product(b,a),product(b,product(a,c))),product(b,a)) != product(b,product(c,a))
    | difference(product(b,a),product(b,bigC(a,a,c))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),product(b,a)),difference(product(b,a),product(b,bigC(a,a,c)))) )],[refute_0_17915,refute_0_17916]) ).

cnf(refute_0_17918,plain,
    difference(product(b,a),product(b,bigC(a,a,c))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),product(b,a)),product(b,product(c,a))) )],[refute_0_17892,refute_0_17917]) ).

cnf(refute_0_17919,plain,
    ( difference(product(b,a),product(b,bigC(a,a,c))) != product(b,product(c,a))
    | difference(product(b,a),product(product(b,b),product(product(a,c),a))) != difference(product(b,a),product(b,bigC(a,a,c)))
    | difference(product(b,a),product(product(b,b),product(product(a,c),a))) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),product(product(b,b),product(product(a,c),a))))),bind(Y,$fot(difference(product(b,a),product(b,bigC(a,a,c))))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_17920,plain,
    ( difference(product(b,a),product(b,bigC(a,a,c))) != product(b,product(c,a))
    | difference(product(b,a),product(product(b,b),product(product(a,c),a))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,b),product(product(a,c),a))),difference(product(b,a),product(b,bigC(a,a,c)))) )],[refute_0_17907,refute_0_17919]) ).

cnf(refute_0_17921,plain,
    difference(product(b,a),product(product(b,b),product(product(a,c),a))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,bigC(a,a,c))),product(b,product(c,a))) )],[refute_0_17918,refute_0_17920]) ).

cnf(refute_0_17922,plain,
    ( difference(product(b,a),product(product(b,b),product(product(a,c),a))) != product(b,product(c,a))
    | difference(product(b,a),product(product(b,product(a,c)),product(b,a))) != difference(product(b,a),product(product(b,b),product(product(a,c),a)))
    | difference(product(b,a),product(product(b,product(a,c)),product(b,a))) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),product(product(b,product(a,c)),product(b,a))))),bind(Y,$fot(difference(product(b,a),product(product(b,b),product(product(a,c),a))))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_17923,plain,
    ( difference(product(b,a),product(product(b,b),product(product(a,c),a))) != product(b,product(c,a))
    | difference(product(b,a),product(product(b,product(a,c)),product(b,a))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,product(a,c)),product(b,a))),difference(product(b,a),product(product(b,b),product(product(a,c),a)))) )],[refute_0_17908,refute_0_17922]) ).

cnf(refute_0_17924,plain,
    difference(product(b,a),product(product(b,product(a,c)),product(b,a))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,b),product(product(a,c),a))),product(b,product(c,a))) )],[refute_0_17921,refute_0_17923]) ).

cnf(refute_0_17925,plain,
    product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))))]]) ).

cnf(refute_0_17926,plain,
    ( difference(product(b,a),product(product(b,product(a,c)),product(b,a))) != product(b,product(c,a))
    | product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) ),[1,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_17927,plain,
    ( difference(product(b,a),product(product(b,product(a,c)),product(b,a))) != product(b,product(c,a))
    | product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) )],[refute_0_17925,refute_0_17926]) ).

cnf(refute_0_17928,plain,
    product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,product(a,c)),product(b,a))),product(b,product(c,a))) )],[refute_0_17924,refute_0_17927]) ).

cnf(refute_0_17929,plain,
    product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),
    introduced(tautology,[refl,[$fot(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))))]]) ).

cnf(refute_0_17930,plain,
    ( difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_17931,plain,
    ( difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) )],[refute_0_17929,refute_0_17930]) ).

cnf(refute_0_17932,plain,
    product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,product(a,c))),product(b,c)) )],[refute_0_3645,refute_0_17931]) ).

cnf(refute_0_17933,plain,
    ( product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(product(b,c),product(b,product(c,a)))
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),product(b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))))),bind(Y,$fot(product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))))),bind(Z,$fot(product(product(b,c),product(b,product(c,a)))))]]) ).

cnf(refute_0_17934,plain,
    ( product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(product(b,c),product(b,product(c,a)))
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) )],[refute_0_17932,refute_0_17933]) ).

cnf(refute_0_17935,plain,
    product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(product(b,c),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(product(b,c),product(b,product(c,a)))) )],[refute_0_17928,refute_0_17934]) ).

cnf(refute_0_17936,plain,
    ( product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(product(b,c),product(b,product(c,a)))
    | product(product(b,c),product(b,product(c,a))) != product(b,product(c,product(c,a)))
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(b,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))))),bind(Y,$fot(product(product(b,c),product(b,product(c,a))))),bind(Z,$fot(product(b,product(c,product(c,a)))))]]) ).

cnf(refute_0_17937,plain,
    ( product(product(b,c),product(b,product(c,a))) != product(b,product(c,product(c,a)))
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(b,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(product(b,c),product(b,product(c,a)))) )],[refute_0_17935,refute_0_17936]) ).

cnf(refute_0_17938,plain,
    product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) = product(b,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,product(c,a))),product(b,product(c,product(c,a)))) )],[refute_0_17888,refute_0_17937]) ).

cnf(refute_0_17939,plain,
    ( difference(bigC(c,b,product(b,a)),product(b,c)) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))) != product(b,product(c,product(c,a)))
    | difference(bigC(c,b,product(b,a)),product(b,c)) = product(b,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(c,b,product(b,a)),product(b,c)),product(b,product(c,product(c,a)))) ),[0],$fot(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))))]]) ).

cnf(refute_0_17940,plain,
    ( difference(bigC(c,b,product(b,a)),product(b,c)) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | difference(bigC(c,b,product(b,a)),product(b,c)) = product(b,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a)))),product(b,product(c,product(c,a)))) )],[refute_0_17938,refute_0_17939]) ).

cnf(refute_0_17941,plain,
    ( difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))) != product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))
    | difference(bigC(c,b,product(b,a)),product(b,c)) = product(b,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,a)),product(b,c)),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) )],[refute_0_17887,refute_0_17940]) ).

cnf(refute_0_17942,plain,
    difference(bigC(c,b,product(b,a)),product(b,c)) = product(b,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(a,c)),product(b,c)),difference(product(b,a),product(b,product(a,c)))),product(difference(product(b,a),product(b,product(a,c))),difference(product(b,a),product(product(b,product(a,c)),product(b,a))))) )],[refute_0_17869,refute_0_17941]) ).

cnf(refute_0_17943,plain,
    ( difference(bigC(c,b,product(b,a)),product(b,c)) != product(b,product(c,product(c,a)))
    | quotient(product(b,c),difference(bigC(c,b,product(b,a)),product(b,c))) != bigC(c,b,product(b,a))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = bigC(c,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),difference(bigC(c,b,product(b,a)),product(b,c))),bigC(c,b,product(b,a))) ),[0,1],$fot(product(b,product(c,product(c,a))))]]) ).

cnf(refute_0_17944,plain,
    ( quotient(product(b,c),difference(bigC(c,b,product(b,a)),product(b,c))) != bigC(c,b,product(b,a))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = bigC(c,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,product(b,a)),product(b,c)),product(b,product(c,product(c,a)))) )],[refute_0_17942,refute_0_17943]) ).

cnf(refute_0_17945,plain,
    quotient(product(b,c),product(b,product(c,product(c,a)))) = bigC(c,b,product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),difference(bigC(c,b,product(b,a)),product(b,c))),bigC(c,b,product(b,a))) )],[refute_0_17865,refute_0_17944]) ).

cnf(refute_0_17946,plain,
    quotient(product(b,c),product(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a)))))) = product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(difference(product(c,a),product(c,product(c,a))))),bind(X_16,$fot(product(b,c)))]]) ).

cnf(refute_0_17947,plain,
    difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(difference(product(c,a),c),difference(product(c,a),product(c,product(c,a)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(c)),bind(X_32,$fot(product(c,a)))]]) ).

cnf(refute_0_17948,plain,
    ( difference(product(c,a),c) != product(b,c)
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != product(difference(product(c,a),c),difference(product(c,a),product(c,product(c,a))))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(product(b,c),difference(product(c,a),product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),product(difference(product(c,a),c),difference(product(c,a),product(c,product(c,a))))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_17949,plain,
    ( difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != product(difference(product(c,a),c),difference(product(c,a),product(c,product(c,a))))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(product(b,c),difference(product(c,a),product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_13891,refute_0_17948]) ).

cnf(refute_0_17950,plain,
    difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(product(b,c),difference(product(c,a),product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),product(difference(product(c,a),c),difference(product(c,a),product(c,product(c,a))))) )],[refute_0_17947,refute_0_17949]) ).

cnf(refute_0_17951,plain,
    difference(product(c,product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),quotient(c,product(b,c)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(c)),bind(X_20,$fot(product(b,c)))]]) ).

cnf(refute_0_17952,plain,
    ( difference(product(c,product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),quotient(c,product(b,c))))
    | quotient(c,product(b,c)) != product(c,a)
    | difference(product(c,product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),quotient(c,product(b,c))))) ),[1,1,1],$fot(product(c,a))]]) ).

cnf(refute_0_17953,plain,
    ( difference(product(c,product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),quotient(c,product(b,c))))
    | difference(product(c,product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(b,c)),product(c,a)) )],[refute_0_3877,refute_0_17952]) ).

cnf(refute_0_17954,plain,
    difference(product(c,product(b,c)),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),quotient(c,product(b,c))))) )],[refute_0_17951,refute_0_17953]) ).

cnf(refute_0_17955,plain,
    difference(product(c,product(b,c)),product(b,c)) = difference(product(c,product(b,c)),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_17956,plain,
    ( difference(product(c,product(b,c)),product(b,c)) != difference(product(c,product(b,c)),product(b,c))
    | product(c,product(b,c)) != bigC(c,b,c)
    | difference(product(c,product(b,c)),product(b,c)) = difference(bigC(c,b,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),difference(product(c,product(b,c)),product(b,c))) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_17957,plain,
    ( product(c,product(b,c)) != bigC(c,b,c)
    | difference(product(c,product(b,c)),product(b,c)) = difference(bigC(c,b,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),difference(product(c,product(b,c)),product(b,c))) )],[refute_0_17955,refute_0_17956]) ).

cnf(refute_0_17958,plain,
    difference(product(c,product(b,c)),product(b,c)) = difference(bigC(c,b,c),product(b,c)),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(c,b,c)) )],[refute_0_9364,refute_0_17957]) ).

cnf(refute_0_17959,plain,
    ( difference(product(c,product(b,c)),product(b,c)) != difference(bigC(c,b,c),product(b,c))
    | difference(product(c,product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(c,b,c),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) ),[0],$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_17960,plain,
    ( difference(product(c,product(b,c)),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(c,b,c),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),difference(bigC(c,b,c),product(b,c))) )],[refute_0_17958,refute_0_17959]) ).

cnf(refute_0_17961,plain,
    difference(bigC(c,b,c),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(b,c)),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) )],[refute_0_17954,refute_0_17960]) ).

cnf(refute_0_17962,plain,
    difference(bigC(c,b,c),product(b,c)) = difference(bigC(c,b,c),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(c,b,c),product(b,c)))]]) ).

cnf(refute_0_17963,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(bigC(c,b,c),product(b,c)) != difference(bigC(c,b,c),product(b,c))
    | difference(bigC(c,b,c),product(b,c)) = difference(bigC(b,a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,c),product(b,c)),difference(bigC(c,b,c),product(b,c))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_17964,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(bigC(c,b,c),product(b,c)) = difference(bigC(b,a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),product(b,c)),difference(bigC(c,b,c),product(b,c))) )],[refute_0_17962,refute_0_17963]) ).

cnf(refute_0_17965,plain,
    difference(bigC(c,b,c),product(b,c)) = difference(bigC(b,a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_17964]) ).

cnf(refute_0_17966,plain,
    ( difference(bigC(c,b,c),product(b,c)) != difference(bigC(b,a,b),product(b,c))
    | difference(bigC(c,b,c),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(b,a,b),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) ),[0],$fot(difference(bigC(b,a,b),product(b,c)))]]) ).

cnf(refute_0_17967,plain,
    ( difference(bigC(c,b,c),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(b,a,b),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),product(b,c)),difference(bigC(b,a,b),product(b,c))) )],[refute_0_17965,refute_0_17966]) ).

cnf(refute_0_17968,plain,
    difference(bigC(b,a,b),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(c,b,c),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) )],[refute_0_17961,refute_0_17967]) ).

cnf(refute_0_17969,plain,
    difference(bigC(b,a,b),product(b,c)) = difference(bigC(b,a,b),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(bigC(b,a,b),product(b,c)))]]) ).

cnf(refute_0_17970,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,a,b),product(b,c)) != difference(bigC(b,a,b),product(b,c))
    | difference(bigC(b,a,b),product(b,c)) = difference(bigC(a,b,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),product(b,c)),difference(bigC(b,a,b),product(b,c))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_17971,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(bigC(b,a,b),product(b,c)) = difference(bigC(a,b,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(b,c)),difference(bigC(b,a,b),product(b,c))) )],[refute_0_17969,refute_0_17970]) ).

cnf(refute_0_17972,plain,
    difference(bigC(b,a,b),product(b,c)) = difference(bigC(a,b,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_17971]) ).

cnf(refute_0_17973,plain,
    ( difference(bigC(b,a,b),product(b,c)) != difference(bigC(a,b,b),product(b,c))
    | difference(bigC(b,a,b),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(a,b,b),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,a,b),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) ),[0],$fot(difference(bigC(a,b,b),product(b,c)))]]) ).

cnf(refute_0_17974,plain,
    ( difference(bigC(b,a,b),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(a,b,b),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(b,c)),difference(bigC(a,b,b),product(b,c))) )],[refute_0_17972,refute_0_17973]) ).

cnf(refute_0_17975,plain,
    difference(bigC(a,b,b),product(b,c)) = product(product(b,c),product(product(b,c),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) )],[refute_0_17968,refute_0_17974]) ).

cnf(refute_0_17976,plain,
    product(product(b,c),product(b,a)) = product(b,product(c,a)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_17977,plain,
    product(product(b,c),product(product(b,c),product(c,a))) = product(product(b,c),product(product(b,c),product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(b,c),product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_17978,plain,
    ( product(product(b,c),product(c,a)) != product(b,a)
    | product(product(b,c),product(product(b,c),product(c,a))) != product(product(b,c),product(product(b,c),product(c,a)))
    | product(product(b,c),product(product(b,c),product(c,a))) = product(product(b,c),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(product(b,c),product(c,a)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_17979,plain,
    ( product(product(b,c),product(c,a)) != product(b,a)
    | product(product(b,c),product(product(b,c),product(c,a))) = product(product(b,c),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(product(b,c),product(c,a)))) )],[refute_0_17977,refute_0_17978]) ).

cnf(refute_0_17980,plain,
    product(product(b,c),product(product(b,c),product(c,a))) = product(product(b,c),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(c,a)),product(b,a)) )],[refute_0_12081,refute_0_17979]) ).

cnf(refute_0_17981,plain,
    ( product(product(b,c),product(b,a)) != product(b,product(c,a))
    | product(product(b,c),product(product(b,c),product(c,a))) != product(product(b,c),product(b,a))
    | product(product(b,c),product(product(b,c),product(c,a))) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(product(b,c),product(c,a))))),bind(Y,$fot(product(product(b,c),product(b,a)))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_17982,plain,
    ( product(product(b,c),product(b,a)) != product(b,product(c,a))
    | product(product(b,c),product(product(b,c),product(c,a))) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),product(product(b,c),product(b,a))) )],[refute_0_17980,refute_0_17981]) ).

cnf(refute_0_17983,plain,
    product(product(b,c),product(product(b,c),product(c,a))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(b,a)),product(b,product(c,a))) )],[refute_0_17976,refute_0_17982]) ).

cnf(refute_0_17984,plain,
    ( difference(bigC(a,b,b),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | product(product(b,c),product(product(b,c),product(c,a))) != product(b,product(c,a))
    | difference(bigC(a,b,b),product(b,c)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,b,b),product(b,c)),product(b,product(c,a))) ),[0],$fot(product(product(b,c),product(product(b,c),product(c,a))))]]) ).

cnf(refute_0_17985,plain,
    ( difference(bigC(a,b,b),product(b,c)) != product(product(b,c),product(product(b,c),product(c,a)))
    | difference(bigC(a,b,b),product(b,c)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(b,c),product(c,a))),product(b,product(c,a))) )],[refute_0_17983,refute_0_17984]) ).

cnf(refute_0_17986,plain,
    difference(bigC(a,b,b),product(b,c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(b,c)),product(product(b,c),product(product(b,c),product(c,a)))) )],[refute_0_17975,refute_0_17985]) ).

cnf(refute_0_17987,plain,
    difference(bigC(a,b,b),difference(product(c,a),c)) = difference(bigC(a,b,b),difference(product(c,a),c)),
    introduced(tautology,[refl,[$fot(difference(bigC(a,b,b),difference(product(c,a),c)))]]) ).

cnf(refute_0_17988,plain,
    ( difference(bigC(a,b,b),difference(product(c,a),c)) != difference(bigC(a,b,b),difference(product(c,a),c))
    | difference(product(c,a),c) != product(b,c)
    | difference(bigC(a,b,b),difference(product(c,a),c)) = difference(bigC(a,b,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),difference(product(c,a),c)),difference(bigC(a,b,b),difference(product(c,a),c))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_17989,plain,
    ( difference(product(c,a),c) != product(b,c)
    | difference(bigC(a,b,b),difference(product(c,a),c)) = difference(bigC(a,b,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),difference(product(c,a),c)),difference(bigC(a,b,b),difference(product(c,a),c))) )],[refute_0_17987,refute_0_17988]) ).

cnf(refute_0_17990,plain,
    difference(bigC(a,b,b),difference(product(c,a),c)) = difference(bigC(a,b,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_13891,refute_0_17989]) ).

cnf(refute_0_17991,plain,
    product(c,difference(product(c,a),c)) = product(c,difference(product(c,a),c)),
    introduced(tautology,[refl,[$fot(product(c,difference(product(c,a),c)))]]) ).

cnf(refute_0_17992,plain,
    ( difference(product(c,a),c) != product(b,c)
    | product(c,difference(product(c,a),c)) != product(c,difference(product(c,a),c))
    | product(c,difference(product(c,a),c)) = product(c,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,a),c)),product(c,difference(product(c,a),c))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_17993,plain,
    ( difference(product(c,a),c) != product(b,c)
    | product(c,difference(product(c,a),c)) = product(c,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),c)),product(c,difference(product(c,a),c))) )],[refute_0_17991,refute_0_17992]) ).

cnf(refute_0_17994,plain,
    product(c,difference(product(c,a),c)) = product(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,a),c),product(b,c)) )],[refute_0_13891,refute_0_17993]) ).

cnf(refute_0_17995,plain,
    ( product(c,difference(product(c,a),c)) != product(c,product(b,c))
    | product(c,product(b,c)) != bigC(a,b,b)
    | product(c,difference(product(c,a),c)) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,difference(product(c,a),c)))),bind(Y,$fot(product(c,product(b,c)))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_17996,plain,
    ( product(c,product(b,c)) != bigC(a,b,b)
    | product(c,difference(product(c,a),c)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),c)),product(c,product(b,c))) )],[refute_0_17994,refute_0_17995]) ).

cnf(refute_0_17997,plain,
    product(c,difference(product(c,a),c)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(product(c,product(b,c)),bigC(a,b,b)) )],[refute_0_4266,refute_0_17996]) ).

cnf(refute_0_17998,plain,
    difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),
    introduced(tautology,[refl,[$fot(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)))]]) ).

cnf(refute_0_17999,plain,
    ( difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != difference(product(c,difference(product(c,a),c)),difference(product(c,a),c))
    | product(c,difference(product(c,a),c)) != bigC(a,b,b)
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(bigC(a,b,b),difference(product(c,a),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),difference(product(c,difference(product(c,a),c)),difference(product(c,a),c))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_18000,plain,
    ( product(c,difference(product(c,a),c)) != bigC(a,b,b)
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(bigC(a,b,b),difference(product(c,a),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),difference(product(c,difference(product(c,a),c)),difference(product(c,a),c))) )],[refute_0_17998,refute_0_17999]) ).

cnf(refute_0_18001,plain,
    difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(bigC(a,b,b),difference(product(c,a),c)),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,a),c)),bigC(a,b,b)) )],[refute_0_17997,refute_0_18000]) ).

cnf(refute_0_18002,plain,
    ( difference(bigC(a,b,b),difference(product(c,a),c)) != difference(bigC(a,b,b),product(b,c))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != difference(bigC(a,b,b),difference(product(c,a),c))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(bigC(a,b,b),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)))),bind(Y,$fot(difference(bigC(a,b,b),difference(product(c,a),c)))),bind(Z,$fot(difference(bigC(a,b,b),product(b,c))))]]) ).

cnf(refute_0_18003,plain,
    ( difference(bigC(a,b,b),difference(product(c,a),c)) != difference(bigC(a,b,b),product(b,c))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(bigC(a,b,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),difference(bigC(a,b,b),difference(product(c,a),c))) )],[refute_0_18001,refute_0_18002]) ).

cnf(refute_0_18004,plain,
    difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = difference(bigC(a,b,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),difference(product(c,a),c)),difference(bigC(a,b,b),product(b,c))) )],[refute_0_17990,refute_0_18003]) ).

cnf(refute_0_18005,plain,
    ( difference(bigC(a,b,b),product(b,c)) != product(b,product(c,a))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != difference(bigC(a,b,b),product(b,c))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)))),bind(Y,$fot(difference(bigC(a,b,b),product(b,c)))),bind(Z,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_18006,plain,
    ( difference(bigC(a,b,b),product(b,c)) != product(b,product(c,a))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),difference(bigC(a,b,b),product(b,c))) )],[refute_0_18004,refute_0_18005]) ).

cnf(refute_0_18007,plain,
    difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(b,c)),product(b,product(c,a))) )],[refute_0_17986,refute_0_18006]) ).

cnf(refute_0_18008,plain,
    ( difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != product(b,product(c,a))
    | difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != product(product(b,c),difference(product(c,a),product(c,product(c,a))))
    | product(b,product(c,a)) = product(product(b,c),difference(product(c,a),product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),product(product(b,c),difference(product(c,a),product(c,product(c,a))))) ),[0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_18009,plain,
    ( difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)) != product(product(b,c),difference(product(c,a),product(c,product(c,a))))
    | product(b,product(c,a)) = product(product(b,c),difference(product(c,a),product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),product(b,product(c,a))) )],[refute_0_18007,refute_0_18008]) ).

cnf(refute_0_18010,plain,
    product(b,product(c,a)) = product(product(b,c),difference(product(c,a),product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,difference(product(c,a),c)),difference(product(c,a),c)),product(product(b,c),difference(product(c,a),product(c,product(c,a))))) )],[refute_0_17950,refute_0_18009]) ).

cnf(refute_0_18011,plain,
    ( product(b,product(c,a)) != product(product(b,c),difference(product(c,a),product(c,product(c,a))))
    | product(product(b,c),difference(product(c,a),product(c,product(c,a)))) = product(b,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(c,a)))),bind(Y,$fot(product(product(b,c),difference(product(c,a),product(c,product(c,a))))))]]) ).

cnf(refute_0_18012,plain,
    product(product(b,c),difference(product(c,a),product(c,product(c,a)))) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,product(c,a)),product(product(b,c),difference(product(c,a),product(c,product(c,a))))) )],[refute_0_18010,refute_0_18011]) ).

cnf(refute_0_18013,plain,
    ( product(product(b,c),difference(product(c,a),product(c,product(c,a)))) != product(b,product(c,a))
    | quotient(product(b,c),product(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a)))))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a)))))),product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))) ),[0,1,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_18014,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a)))))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(product(c,a),product(c,product(c,a)))),product(b,product(c,a))) )],[refute_0_18012,refute_0_18013]) ).

cnf(refute_0_18015,plain,
    quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a)))))),product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))) )],[refute_0_17946,refute_0_18014]) ).

cnf(refute_0_18016,plain,
    product(product(b,b),product(c,product(c,a))) = product(product(b,b),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(product(b,b),product(c,product(c,a))))]]) ).

cnf(refute_0_18017,plain,
    ( product(b,b) != b
    | product(product(b,b),product(c,product(c,a))) != product(product(b,b),product(c,product(c,a)))
    | product(product(b,b),product(c,product(c,a))) = product(b,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,b),product(c,product(c,a))),product(product(b,b),product(c,product(c,a)))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_18018,plain,
    ( product(b,b) != b
    | product(product(b,b),product(c,product(c,a))) = product(b,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,product(c,a))),product(product(b,b),product(c,product(c,a)))) )],[refute_0_18016,refute_0_18017]) ).

cnf(refute_0_18019,plain,
    product(product(b,b),product(c,product(c,a))) = product(b,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_18018]) ).

cnf(refute_0_18020,plain,
    quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) = quotient(product(b,c),product(product(b,b),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(quotient(product(b,c),product(product(b,b),product(c,product(c,a)))))]]) ).

cnf(refute_0_18021,plain,
    ( product(product(b,b),product(c,product(c,a))) != product(b,product(c,product(c,a)))
    | quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) != quotient(product(b,c),product(product(b,b),product(c,product(c,a))))
    | quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) = quotient(product(b,c),product(b,product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,b),product(c,product(c,a)))),quotient(product(b,c),product(product(b,b),product(c,product(c,a))))) ),[1,1],$fot(product(b,product(c,product(c,a))))]]) ).

cnf(refute_0_18022,plain,
    ( product(product(b,b),product(c,product(c,a))) != product(b,product(c,product(c,a)))
    | quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) = quotient(product(b,c),product(b,product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,b),product(c,product(c,a)))),quotient(product(b,c),product(product(b,b),product(c,product(c,a))))) )],[refute_0_18020,refute_0_18021]) ).

cnf(refute_0_18023,plain,
    quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) = quotient(product(b,c),product(b,product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(b,b),product(c,product(c,a))),product(b,product(c,product(c,a)))) )],[refute_0_18019,refute_0_18022]) ).

cnf(refute_0_18024,plain,
    quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = quotient(product(b,c),product(product(b,b),product(c,product(c,a)))),
    inference(subst,[],[refute_0_2175:[bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_18025,plain,
    ( quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) != quotient(product(b,c),product(b,product(c,product(c,a))))
    | quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) != quotient(product(b,c),product(product(b,b),product(c,product(c,a))))
    | quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = quotient(product(b,c),product(b,product(c,product(c,a)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(b,c),product(product(b,c),product(b,product(c,a)))))),bind(Y,$fot(quotient(product(b,c),product(product(b,b),product(c,product(c,a)))))),bind(Z,$fot(quotient(product(b,c),product(b,product(c,product(c,a))))))]]) ).

cnf(refute_0_18026,plain,
    ( quotient(product(b,c),product(product(b,b),product(c,product(c,a)))) != quotient(product(b,c),product(b,product(c,product(c,a))))
    | quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = quotient(product(b,c),product(b,product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(b,product(c,a)))),quotient(product(b,c),product(product(b,b),product(c,product(c,a))))) )],[refute_0_18024,refute_0_18025]) ).

cnf(refute_0_18027,plain,
    quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) = quotient(product(b,c),product(b,product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,b),product(c,product(c,a)))),quotient(product(b,c),product(b,product(c,product(c,a))))) )],[refute_0_18023,refute_0_18026]) ).

cnf(refute_0_18028,plain,
    ( quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) != quotient(product(b,c),product(b,product(c,product(c,a))))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(b,product(c,a)))),product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))) ),[0],$fot(quotient(product(b,c),product(b,product(c,product(c,a)))))]]) ).

cnf(refute_0_18029,plain,
    ( quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(b,product(c,a)))),quotient(product(b,c),product(b,product(c,product(c,a))))) )],[refute_0_18027,refute_0_18028]) ).

cnf(refute_0_18030,plain,
    product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)) = product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),
    inference(subst,[],[refute_0_9955:[bind(A,$fot(difference(product(c,a),product(c,product(c,a))))),bind(C,$fot(b))]]) ).

cnf(refute_0_18031,plain,
    ( product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)) != product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))) ),[1],$fot(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))))]]) ).

cnf(refute_0_18032,plain,
    ( quotient(product(b,c),product(b,product(c,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c)),product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))) )],[refute_0_18030,refute_0_18031]) ).

cnf(refute_0_18033,plain,
    ( quotient(product(b,c),product(product(b,c),product(b,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))) )],[refute_0_18029,refute_0_18032]) ).

cnf(refute_0_18034,plain,
    quotient(product(b,c),product(b,product(c,product(c,a)))) = product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(b,product(c,a)))),product(product(difference(product(c,a),product(c,product(c,a))),product(b,c)),product(b,c))) )],[refute_0_18015,refute_0_18033]) ).

cnf(refute_0_18035,plain,
    product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)))]]) ).

cnf(refute_0_18036,plain,
    ( product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) != product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))
    | product(product(b,c),c) != product(b,product(a,c))
    | product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_18037,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))) )],[refute_0_18035,refute_0_18036]) ).

cnf(refute_0_18038,plain,
    product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_18037]) ).

cnf(refute_0_18039,plain,
    ( product(bigC(b,b,c),c) != product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))
    | product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)) != product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))) ),[0],$fot(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)))]]) ).

cnf(refute_0_18040,plain,
    ( product(bigC(b,b,c),c) != product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))
    | product(bigC(b,b,c),c) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c)),product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))) )],[refute_0_18038,refute_0_18039]) ).

cnf(refute_0_18041,plain,
    product(bigC(b,b,c),c) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(product(b,c),c))) )],[refute_0_9569,refute_0_18040]) ).

cnf(refute_0_18042,plain,
    product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) = product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))))]]) ).

cnf(refute_0_18043,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) != product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))
    | product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))),product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))) ),[1,0],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_18044,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))),product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))) )],[refute_0_18042,refute_0_18043]) ).

cnf(refute_0_18045,plain,
    product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3358,refute_0_18044]) ).

cnf(refute_0_18046,plain,
    ( product(bigC(b,b,c),c) != product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))
    | product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))) != product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,b,c),c),product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))) ),[0],$fot(product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))))]]) ).

cnf(refute_0_18047,plain,
    ( product(bigC(b,b,c),c) != product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c))),product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))) )],[refute_0_18045,refute_0_18046]) ).

cnf(refute_0_18048,plain,
    product(bigC(b,b,c),c) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(difference(product(b,product(b,c)),product(b,c)),product(b,product(a,c)))) )],[refute_0_18041,refute_0_18047]) ).

cnf(refute_0_18049,plain,
    product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) = product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))))]]) ).

cnf(refute_0_18050,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) != product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))
    | product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) = product(bigC(b,a,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))),product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_18051,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) = product(bigC(b,a,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))),product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))) )],[refute_0_18049,refute_0_18050]) ).

cnf(refute_0_18052,plain,
    product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) = product(bigC(b,a,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_18051]) ).

cnf(refute_0_18053,plain,
    ( product(bigC(b,b,c),c) != product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))
    | product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))) != product(bigC(b,a,b),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = product(bigC(b,a,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(b,b,c),c),product(bigC(b,a,b),product(b,product(a,c)))) ),[0],$fot(product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))))]]) ).

cnf(refute_0_18054,plain,
    ( product(bigC(b,b,c),c) != product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = product(bigC(b,a,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c))),product(bigC(b,a,b),product(b,product(a,c)))) )],[refute_0_18052,refute_0_18053]) ).

cnf(refute_0_18055,plain,
    product(bigC(b,b,c),c) = product(bigC(b,a,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(bigC(b,product(c,a),product(c,b)),product(b,product(a,c)))) )],[refute_0_18048,refute_0_18054]) ).

cnf(refute_0_18056,plain,
    bigC(product(b,a),B,c) = product(product(product(b,a),B),product(c,product(b,a))),
    inference(subst,[],[sos08:[bind(A,$fot(product(b,a))),bind(C,$fot(c))]]) ).

cnf(refute_0_18057,plain,
    ( bigC(product(b,a),B,c) != product(product(product(b,a),B),product(c,product(b,a)))
    | product(c,product(b,a)) != product(b,product(a,c))
    | bigC(product(b,a),B,c) = product(product(product(b,a),B),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,a),B,c),product(product(product(b,a),B),product(c,product(b,a)))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_18058,plain,
    ( bigC(product(b,a),B,c) != product(product(product(b,a),B),product(c,product(b,a)))
    | bigC(product(b,a),B,c) = product(product(product(b,a),B),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_18057]) ).

cnf(refute_0_18059,plain,
    bigC(product(b,a),B,c) = product(product(product(b,a),B),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,c),product(product(product(b,a),B),product(c,product(b,a)))) )],[refute_0_18056,refute_0_18058]) ).

cnf(refute_0_18060,plain,
    product(product(product(b,a),B),product(b,product(a,c))) = product(bigC(b,a,b),product(B,product(a,c))),
    inference(subst,[],[refute_0_1208:[bind(C,$fot(b)),bind(D,$fot(product(a,c))),bind(X_82,$fot(a))]]) ).

cnf(refute_0_18061,plain,
    ( bigC(product(b,a),B,c) != product(product(product(b,a),B),product(b,product(a,c)))
    | product(product(product(b,a),B),product(b,product(a,c))) != product(bigC(b,a,b),product(B,product(a,c)))
    | bigC(product(b,a),B,c) = product(bigC(b,a,b),product(B,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),B,c),product(bigC(b,a,b),product(B,product(a,c)))) ),[0],$fot(product(product(product(b,a),B),product(b,product(a,c))))]]) ).

cnf(refute_0_18062,plain,
    ( bigC(product(b,a),B,c) != product(product(product(b,a),B),product(b,product(a,c)))
    | bigC(product(b,a),B,c) = product(bigC(b,a,b),product(B,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),B),product(b,product(a,c))),product(bigC(b,a,b),product(B,product(a,c)))) )],[refute_0_18060,refute_0_18061]) ).

cnf(refute_0_18063,plain,
    bigC(product(b,a),B,c) = product(bigC(b,a,b),product(B,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,c),product(product(product(b,a),B),product(b,product(a,c)))) )],[refute_0_18059,refute_0_18062]) ).

cnf(refute_0_18064,plain,
    ( bigC(product(b,a),B,c) != product(bigC(b,a,b),product(B,product(a,c)))
    | product(bigC(b,a,b),product(B,product(a,c))) = bigC(product(b,a),B,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,a),B,c))),bind(Y,$fot(product(bigC(b,a,b),product(B,product(a,c)))))]]) ).

cnf(refute_0_18065,plain,
    product(bigC(b,a,b),product(B,product(a,c))) = bigC(product(b,a),B,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,c),product(bigC(b,a,b),product(B,product(a,c)))) )],[refute_0_18063,refute_0_18064]) ).

cnf(refute_0_18066,plain,
    product(bigC(b,a,b),product(b,product(a,c))) = bigC(product(b,a),b,c),
    inference(subst,[],[refute_0_18065:[bind(B,$fot(b))]]) ).

cnf(refute_0_18067,plain,
    ( product(bigC(b,a,b),product(b,product(a,c))) != bigC(product(b,a),b,c)
    | product(bigC(b,b,c),c) != product(bigC(b,a,b),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = bigC(product(b,a),b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),c),product(bigC(b,a,b),product(b,product(a,c)))) ),[1],$fot(bigC(product(b,a),b,c))]]) ).

cnf(refute_0_18068,plain,
    ( product(bigC(b,b,c),c) != product(bigC(b,a,b),product(b,product(a,c)))
    | product(bigC(b,b,c),c) = bigC(product(b,a),b,c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(b,product(a,c))),bigC(product(b,a),b,c)) )],[refute_0_18066,refute_0_18067]) ).

cnf(refute_0_18069,plain,
    product(bigC(b,b,c),c) = bigC(product(b,a),b,c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(bigC(b,a,b),product(b,product(a,c)))) )],[refute_0_18055,refute_0_18068]) ).

cnf(refute_0_18070,plain,
    ( product(bigC(b,b,c),c) != bigC(product(b,a),b,c)
    | bigC(product(b,a),b,c) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,b,c),c))),bind(Y,$fot(bigC(product(b,a),b,c)))]]) ).

cnf(refute_0_18071,plain,
    bigC(product(b,a),b,c) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),bigC(product(b,a),b,c)) )],[refute_0_18069,refute_0_18070]) ).

cnf(refute_0_18072,plain,
    product(bigC(b,a,b),product(B,product(a,c))) = product(bigC(b,a,b),product(B,product(a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(B,product(a,c))))]]) ).

cnf(refute_0_18073,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(B,product(a,c))) != product(bigC(b,a,b),product(B,product(a,c)))
    | product(bigC(b,a,b),product(B,product(a,c))) = product(bigC(a,b,b),product(B,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(B,product(a,c))),product(bigC(b,a,b),product(B,product(a,c)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_18074,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),product(B,product(a,c))) = product(bigC(a,b,b),product(B,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(B,product(a,c))),product(bigC(b,a,b),product(B,product(a,c)))) )],[refute_0_18072,refute_0_18073]) ).

cnf(refute_0_18075,plain,
    product(bigC(b,a,b),product(B,product(a,c))) = product(bigC(a,b,b),product(B,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_18074]) ).

cnf(refute_0_18076,plain,
    ( bigC(product(b,a),B,c) != product(bigC(b,a,b),product(B,product(a,c)))
    | product(bigC(b,a,b),product(B,product(a,c))) != product(bigC(a,b,b),product(B,product(a,c)))
    | bigC(product(b,a),B,c) = product(bigC(a,b,b),product(B,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,a),B,c),product(bigC(a,b,b),product(B,product(a,c)))) ),[0],$fot(product(bigC(b,a,b),product(B,product(a,c))))]]) ).

cnf(refute_0_18077,plain,
    ( bigC(product(b,a),B,c) != product(bigC(b,a,b),product(B,product(a,c)))
    | bigC(product(b,a),B,c) = product(bigC(a,b,b),product(B,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(B,product(a,c))),product(bigC(a,b,b),product(B,product(a,c)))) )],[refute_0_18075,refute_0_18076]) ).

cnf(refute_0_18078,plain,
    bigC(product(b,a),B,c) = product(bigC(a,b,b),product(B,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,c),product(bigC(b,a,b),product(B,product(a,c)))) )],[refute_0_18063,refute_0_18077]) ).

cnf(refute_0_18079,plain,
    ( bigC(product(b,a),B,c) != product(bigC(a,b,b),product(B,product(a,c)))
    | product(bigC(a,b,b),product(B,product(a,c))) = bigC(product(b,a),B,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,a),B,c))),bind(Y,$fot(product(bigC(a,b,b),product(B,product(a,c)))))]]) ).

cnf(refute_0_18080,plain,
    product(bigC(a,b,b),product(B,product(a,c))) = bigC(product(b,a),B,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),B,c),product(bigC(a,b,b),product(B,product(a,c)))) )],[refute_0_18078,refute_0_18079]) ).

cnf(refute_0_18081,plain,
    product(bigC(a,b,b),product(b,product(a,c))) = bigC(product(b,a),b,c),
    inference(subst,[],[refute_0_18080:[bind(B,$fot(b))]]) ).

cnf(refute_0_18082,plain,
    ( bigC(product(b,a),b,c) != product(bigC(b,b,c),c)
    | product(bigC(a,b,b),product(b,product(a,c))) != bigC(product(b,a),b,c)
    | product(bigC(a,b,b),product(b,product(a,c))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(b,product(a,c))))),bind(Y,$fot(bigC(product(b,a),b,c))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18083,plain,
    ( bigC(product(b,a),b,c) != product(bigC(b,b,c),c)
    | product(bigC(a,b,b),product(b,product(a,c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,product(a,c))),bigC(product(b,a),b,c)) )],[refute_0_18081,refute_0_18082]) ).

cnf(refute_0_18084,plain,
    product(bigC(a,b,b),product(b,product(a,c))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(product(b,a),b,c),product(bigC(b,b,c),c)) )],[refute_0_18071,refute_0_18083]) ).

cnf(refute_0_18085,plain,
    difference(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a))))) = difference(product(c,a),product(c,product(c,a))),
    inference(subst,[],[sos01:[bind(A,$fot(product(b,c))),bind(B,$fot(difference(product(c,a),product(c,product(c,a)))))]]) ).

cnf(refute_0_18086,plain,
    ( difference(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a))))) != difference(product(c,a),product(c,product(c,a)))
    | product(product(b,c),difference(product(c,a),product(c,product(c,a)))) != product(b,product(c,a))
    | difference(product(b,c),product(b,product(c,a))) = difference(product(c,a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a))))),difference(product(c,a),product(c,product(c,a)))) ),[0,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_18087,plain,
    ( difference(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a))))) != difference(product(c,a),product(c,product(c,a)))
    | difference(product(b,c),product(b,product(c,a))) = difference(product(c,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(product(c,a),product(c,product(c,a)))),product(b,product(c,a))) )],[refute_0_18012,refute_0_18086]) ).

cnf(refute_0_18088,plain,
    difference(product(b,c),product(b,product(c,a))) = difference(product(c,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,c),difference(product(c,a),product(c,product(c,a))))),difference(product(c,a),product(c,product(c,a)))) )],[refute_0_18085,refute_0_18087]) ).

cnf(refute_0_18089,plain,
    difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),
    introduced(tautology,[refl,[$fot(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))))]]) ).

cnf(refute_0_18090,plain,
    ( difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a)))
    | difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = difference(product(b,c),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a)))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_18091,plain,
    ( difference(product(b,a),product(b,product(a,c))) != product(b,c)
    | difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = difference(product(b,c),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a)))) )],[refute_0_18089,refute_0_18090]) ).

cnf(refute_0_18092,plain,
    difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) = difference(product(b,c),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,product(a,c))),product(b,c)) )],[refute_0_3645,refute_0_18091]) ).

cnf(refute_0_18093,plain,
    ( difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != difference(product(b,c),product(b,product(c,a)))
    | difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != product(b,a)
    | difference(product(b,c),product(b,product(c,a))) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),product(b,a)) ),[0],$fot(difference(product(b,c),product(b,product(c,a))))]]) ).

cnf(refute_0_18094,plain,
    ( difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))) != product(b,a)
    | difference(product(b,c),product(b,product(c,a))) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),difference(product(b,c),product(b,product(c,a)))) )],[refute_0_18092,refute_0_18093]) ).

cnf(refute_0_18095,plain,
    difference(product(b,c),product(b,product(c,a))) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(difference(product(b,a),product(b,product(a,c))),product(b,product(c,a))),product(b,a)) )],[refute_0_11533,refute_0_18094]) ).

cnf(refute_0_18096,plain,
    ( difference(product(b,c),product(b,product(c,a))) != difference(product(c,a),product(c,product(c,a)))
    | difference(product(b,c),product(b,product(c,a))) != product(b,a)
    | product(b,a) = difference(product(c,a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(b,product(c,a))),difference(product(c,a),product(c,product(c,a)))) ),[0],$fot(product(b,a))]]) ).

cnf(refute_0_18097,plain,
    ( difference(product(b,c),product(b,product(c,a))) != difference(product(c,a),product(c,product(c,a)))
    | product(b,a) = difference(product(c,a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(c,a))),product(b,a)) )],[refute_0_18095,refute_0_18096]) ).

cnf(refute_0_18098,plain,
    product(b,a) = difference(product(c,a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(c,a))),difference(product(c,a),product(c,product(c,a)))) )],[refute_0_18088,refute_0_18097]) ).

cnf(refute_0_18099,plain,
    ( product(b,a) != difference(product(c,a),product(c,product(c,a)))
    | difference(product(c,a),product(c,product(c,a))) = product(b,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,a))),bind(Y,$fot(difference(product(c,a),product(c,product(c,a)))))]]) ).

cnf(refute_0_18100,plain,
    difference(product(c,a),product(c,product(c,a))) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,a),difference(product(c,a),product(c,product(c,a)))) )],[refute_0_18098,refute_0_18099]) ).

cnf(refute_0_18101,plain,
    product(difference(product(c,a),product(c,product(c,a))),b) = product(difference(product(c,a),product(c,product(c,a))),b),
    introduced(tautology,[refl,[$fot(product(difference(product(c,a),product(c,product(c,a))),b))]]) ).

cnf(refute_0_18102,plain,
    ( difference(product(c,a),product(c,product(c,a))) != product(b,a)
    | product(difference(product(c,a),product(c,product(c,a))),b) != product(difference(product(c,a),product(c,product(c,a))),b)
    | product(difference(product(c,a),product(c,product(c,a))),b) = product(product(b,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,a))),b),product(difference(product(c,a),product(c,product(c,a))),b)) ),[1,0],$fot(product(b,a))]]) ).

cnf(refute_0_18103,plain,
    ( difference(product(c,a),product(c,product(c,a))) != product(b,a)
    | product(difference(product(c,a),product(c,product(c,a))),b) = product(product(b,a),b) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,a))),b),product(difference(product(c,a),product(c,product(c,a))),b)) )],[refute_0_18101,refute_0_18102]) ).

cnf(refute_0_18104,plain,
    product(difference(product(c,a),product(c,product(c,a))),b) = product(product(b,a),b),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(c,product(c,a))),product(b,a)) )],[refute_0_18100,refute_0_18103]) ).

cnf(refute_0_18105,plain,
    ( product(difference(product(c,a),product(c,product(c,a))),b) != product(product(b,a),b)
    | product(product(b,a),b) != bigC(a,b,b)
    | product(difference(product(c,a),product(c,product(c,a))),b) = bigC(a,b,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),product(c,product(c,a))),b))),bind(Y,$fot(product(product(b,a),b))),bind(Z,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_18106,plain,
    ( product(product(b,a),b) != bigC(a,b,b)
    | product(difference(product(c,a),product(c,product(c,a))),b) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,a))),b),product(product(b,a),b)) )],[refute_0_18104,refute_0_18105]) ).

cnf(refute_0_18107,plain,
    product(difference(product(c,a),product(c,product(c,a))),b) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(product(product(b,a),b),bigC(a,b,b)) )],[refute_0_11540,refute_0_18106]) ).

cnf(refute_0_18108,plain,
    product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))))]]) ).

cnf(refute_0_18109,plain,
    ( product(difference(product(c,a),product(c,product(c,a))),b) != bigC(a,b,b)
    | product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) != product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))
    | product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(bigC(a,b,b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_18110,plain,
    ( product(difference(product(c,a),product(c,product(c,a))),b) != bigC(a,b,b)
    | product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(bigC(a,b,b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))) )],[refute_0_18108,refute_0_18109]) ).

cnf(refute_0_18111,plain,
    product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(bigC(a,b,b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),product(c,product(c,a))),b),bigC(a,b,b)) )],[refute_0_18107,refute_0_18110]) ).

cnf(refute_0_18112,plain,
    ( product(bigC(a,b,b),product(b,product(a,c))) != product(bigC(b,b,c),c)
    | product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) != product(bigC(a,b,b),product(b,product(a,c)))
    | product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))))),bind(Y,$fot(product(bigC(a,b,b),product(b,product(a,c))))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18113,plain,
    ( product(bigC(a,b,b),product(b,product(a,c))) != product(bigC(b,b,c),c)
    | product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),product(bigC(a,b,b),product(b,product(a,c)))) )],[refute_0_18111,refute_0_18112]) ).

cnf(refute_0_18114,plain,
    product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(b,product(a,c))),product(bigC(b,b,c),c)) )],[refute_0_18084,refute_0_18113]) ).

cnf(refute_0_18115,plain,
    ( product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))) != product(bigC(b,b,c),c)
    | quotient(product(b,c),product(b,product(c,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))) ),[1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18116,plain,
    ( quotient(product(b,c),product(b,product(c,product(c,a)))) != product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c))),product(bigC(b,b,c),c)) )],[refute_0_18114,refute_0_18115]) ).

cnf(refute_0_18117,plain,
    quotient(product(b,c),product(b,product(c,product(c,a)))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(product(difference(product(c,a),product(c,product(c,a))),b),product(b,product(a,c)))) )],[refute_0_18034,refute_0_18116]) ).

cnf(refute_0_18118,plain,
    ( quotient(product(b,c),product(b,product(c,product(c,a)))) != bigC(c,b,product(b,a))
    | quotient(product(b,c),product(b,product(c,product(c,a)))) != product(bigC(b,b,c),c)
    | product(bigC(b,b,c),c) = bigC(c,b,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),bigC(c,b,product(b,a))) ),[0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18119,plain,
    ( quotient(product(b,c),product(b,product(c,product(c,a)))) != bigC(c,b,product(b,a))
    | product(bigC(b,b,c),c) = bigC(c,b,product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),product(bigC(b,b,c),c)) )],[refute_0_18117,refute_0_18118]) ).

cnf(refute_0_18120,plain,
    product(bigC(b,b,c),c) = bigC(c,b,product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(b,product(c,product(c,a)))),bigC(c,b,product(b,a))) )],[refute_0_17945,refute_0_18119]) ).

cnf(refute_0_18121,plain,
    ( product(bigC(b,b,c),c) != bigC(c,b,product(b,a))
    | bigC(c,b,product(b,a)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,b,c),c))),bind(Y,$fot(bigC(c,b,product(b,a))))]]) ).

cnf(refute_0_18122,plain,
    bigC(c,b,product(b,a)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),bigC(c,b,product(b,a))) )],[refute_0_18120,refute_0_18121]) ).

cnf(refute_0_18123,plain,
    bigC(c,B,product(b,a)) = product(product(c,B),product(product(b,a),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(product(b,a)))]]) ).

cnf(refute_0_18124,plain,
    ( bigC(c,B,product(b,a)) != product(product(c,B),product(product(b,a),c))
    | product(product(b,a),c) != product(c,product(c,a))
    | bigC(c,B,product(b,a)) = product(product(c,B),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(b,a)),product(product(c,B),product(product(b,a),c))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_18125,plain,
    ( bigC(c,B,product(b,a)) != product(product(c,B),product(product(b,a),c))
    | bigC(c,B,product(b,a)) = product(product(c,B),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),c),product(c,product(c,a))) )],[refute_0_1934,refute_0_18124]) ).

cnf(refute_0_18126,plain,
    bigC(c,B,product(b,a)) = product(product(c,B),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,a)),product(product(c,B),product(product(b,a),c))) )],[refute_0_18123,refute_0_18125]) ).

cnf(refute_0_18127,plain,
    product(product(c,B),product(c,product(c,a))) = product(c,product(B,product(c,a))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(B)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_18128,plain,
    ( bigC(c,B,product(b,a)) != product(product(c,B),product(c,product(c,a)))
    | product(product(c,B),product(c,product(c,a))) != product(c,product(B,product(c,a)))
    | bigC(c,B,product(b,a)) = product(c,product(B,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,product(b,a)),product(c,product(B,product(c,a)))) ),[0],$fot(product(product(c,B),product(c,product(c,a))))]]) ).

cnf(refute_0_18129,plain,
    ( bigC(c,B,product(b,a)) != product(product(c,B),product(c,product(c,a)))
    | bigC(c,B,product(b,a)) = product(c,product(B,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(c,product(c,a))),product(c,product(B,product(c,a)))) )],[refute_0_18127,refute_0_18128]) ).

cnf(refute_0_18130,plain,
    bigC(c,B,product(b,a)) = product(c,product(B,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,a)),product(product(c,B),product(c,product(c,a)))) )],[refute_0_18126,refute_0_18129]) ).

cnf(refute_0_18131,plain,
    ( bigC(c,B,product(b,a)) != product(c,product(B,product(c,a)))
    | product(c,product(B,product(c,a))) = bigC(c,B,product(b,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,B,product(b,a)))),bind(Y,$fot(product(c,product(B,product(c,a)))))]]) ).

cnf(refute_0_18132,plain,
    product(c,product(B,product(c,a))) = bigC(c,B,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(b,a)),product(c,product(B,product(c,a)))) )],[refute_0_18130,refute_0_18131]) ).

cnf(refute_0_18133,plain,
    product(c,product(b,product(c,a))) = bigC(c,b,product(b,a)),
    inference(subst,[],[refute_0_18132:[bind(B,$fot(b))]]) ).

cnf(refute_0_18134,plain,
    ( bigC(c,b,product(b,a)) != product(bigC(b,b,c),c)
    | product(c,product(b,product(c,a))) != bigC(c,b,product(b,a))
    | product(c,product(b,product(c,a))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(b,product(c,a))))),bind(Y,$fot(bigC(c,b,product(b,a)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18135,plain,
    ( bigC(c,b,product(b,a)) != product(bigC(b,b,c),c)
    | product(c,product(b,product(c,a))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,a))),bigC(c,b,product(b,a))) )],[refute_0_18133,refute_0_18134]) ).

cnf(refute_0_18136,plain,
    product(c,product(b,product(c,a))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,a)),product(bigC(b,b,c),c)) )],[refute_0_18122,refute_0_18135]) ).

cnf(refute_0_18137,plain,
    product(product(c,b),product(c,product(c,a))) = product(c,product(b,product(c,a))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_18138,plain,
    ( product(c,product(b,product(c,a))) != product(bigC(b,b,c),c)
    | product(product(c,b),product(c,product(c,a))) != product(c,product(b,product(c,a)))
    | product(product(c,b),product(c,product(c,a))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(c,product(c,a))))),bind(Y,$fot(product(c,product(b,product(c,a))))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18139,plain,
    ( product(c,product(b,product(c,a))) != product(bigC(b,b,c),c)
    | product(product(c,b),product(c,product(c,a))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(c,a))),product(c,product(b,product(c,a)))) )],[refute_0_18137,refute_0_18138]) ).

cnf(refute_0_18140,plain,
    product(product(c,b),product(c,product(c,a))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(c,product(b,product(c,a))),product(bigC(b,b,c),c)) )],[refute_0_18136,refute_0_18139]) ).

cnf(refute_0_18141,plain,
    product(X_23,product(product(c,b),a)) = product(X_23,product(product(c,b),a)),
    introduced(tautology,[refl,[$fot(product(X_23,product(product(c,b),a)))]]) ).

cnf(refute_0_18142,plain,
    ( product(X_23,product(product(c,b),a)) != product(X_23,product(product(c,b),a))
    | product(product(c,b),a) != product(c,product(c,a))
    | product(X_23,product(product(c,b),a)) = product(X_23,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,product(product(c,b),a)),product(X_23,product(product(c,b),a))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_18143,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(X_23,product(product(c,b),a)) = product(X_23,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(X_23,product(product(c,b),a)),product(X_23,product(product(c,b),a))) )],[refute_0_18141,refute_0_18142]) ).

cnf(refute_0_18144,plain,
    product(X_23,product(product(c,b),a)) = product(X_23,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_18143]) ).

cnf(refute_0_18145,plain,
    ( difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) != product(X_23,product(product(c,b),a))
    | product(X_23,product(product(c,b),a)) != product(X_23,product(c,product(c,a)))
    | difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) = product(X_23,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))),product(X_23,product(c,product(c,a)))) ),[0],$fot(product(X_23,product(product(c,b),a)))]]) ).

cnf(refute_0_18146,plain,
    ( difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) != product(X_23,product(product(c,b),a))
    | difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) = product(X_23,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(X_23,product(product(c,b),a)),product(X_23,product(c,product(c,a)))) )],[refute_0_18144,refute_0_18145]) ).

cnf(refute_0_18147,plain,
    difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))) = product(X_23,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,X_23,bigC(b,b,c))),product(X_23,product(product(c,b),a))) )],[refute_0_5644,refute_0_18146]) ).

cnf(refute_0_18148,plain,
    difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) = product(product(c,b),product(c,product(c,a))),
    inference(subst,[],[refute_0_18147:[bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_18149,plain,
    ( difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) != product(product(c,b),product(c,product(c,a)))
    | product(product(c,b),product(c,product(c,a))) != product(bigC(b,b,c),c)
    | difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))))),bind(Y,$fot(product(product(c,b),product(c,product(c,a))))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18150,plain,
    ( product(product(c,b),product(c,product(c,a))) != product(bigC(b,b,c),c)
    | difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))),product(product(c,b),product(c,product(c,a)))) )],[refute_0_18148,refute_0_18149]) ).

cnf(refute_0_18151,plain,
    difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(c,a))),product(bigC(b,b,c),c)) )],[refute_0_18140,refute_0_18150]) ).

cnf(refute_0_18152,plain,
    bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(product(a,product(product(b,c),c)),product(b,product(a,c))),
    inference(subst,[],[refute_0_2709:[bind(X_23,$fot(product(product(b,c),c)))]]) ).

cnf(refute_0_18153,plain,
    ( bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(product(a,product(product(b,c),c)),product(b,product(a,c)))
    | product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(product(bigC(a,a,c),c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(b,c),c)),product(product(a,product(product(b,c),c)),product(b,product(a,c)))) ),[1,0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_18154,plain,
    ( bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(product(a,product(product(b,c),c)),product(b,product(a,c)))
    | bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(product(bigC(a,a,c),c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_18153]) ).

cnf(refute_0_18155,plain,
    bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(product(bigC(a,a,c),c),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(b,c),c)),product(product(a,product(product(b,c),c)),product(b,product(a,c)))) )],[refute_0_18152,refute_0_18154]) ).

cnf(refute_0_18156,plain,
    product(b,product(c,c)) = product(b,product(c,c)),
    introduced(tautology,[refl,[$fot(product(b,product(c,c)))]]) ).

cnf(refute_0_18157,plain,
    ( product(b,product(c,c)) != product(b,product(c,c))
    | product(c,c) != c
    | product(b,product(c,c)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(c,c)),product(b,product(c,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_18158,plain,
    ( product(c,c) != c
    | product(b,product(c,c)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(b,product(c,c)),product(b,product(c,c))) )],[refute_0_18156,refute_0_18157]) ).

cnf(refute_0_18159,plain,
    product(b,product(c,c)) = product(b,c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_18158]) ).

cnf(refute_0_18160,plain,
    product(bigC(a,a,product(b,c)),product(b,product(c,c))) = product(bigC(a,a,product(b,c)),product(b,product(c,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,product(b,c)),product(b,product(c,c))))]]) ).

cnf(refute_0_18161,plain,
    ( product(b,product(c,c)) != product(b,c)
    | product(bigC(a,a,product(b,c)),product(b,product(c,c))) != product(bigC(a,a,product(b,c)),product(b,product(c,c)))
    | product(bigC(a,a,product(b,c)),product(b,product(c,c))) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,product(c,c))),product(bigC(a,a,product(b,c)),product(b,product(c,c)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_18162,plain,
    ( product(b,product(c,c)) != product(b,c)
    | product(bigC(a,a,product(b,c)),product(b,product(c,c))) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,product(c,c))),product(bigC(a,a,product(b,c)),product(b,product(c,c)))) )],[refute_0_18160,refute_0_18161]) ).

cnf(refute_0_18163,plain,
    product(bigC(a,a,product(b,c)),product(b,product(c,c))) = product(bigC(a,a,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,c)),product(b,c)) )],[refute_0_18159,refute_0_18162]) ).

cnf(refute_0_18164,plain,
    bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(bigC(a,a,product(b,c)),product(b,product(c,c))),
    inference(subst,[],[refute_0_12681:[bind(X_63,$fot(product(b,c))),bind(X_64,$fot(c))]]) ).

cnf(refute_0_18165,plain,
    ( bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(bigC(a,a,product(b,c)),product(b,product(c,c)))
    | product(bigC(a,a,product(b,c)),product(b,product(c,c))) != product(bigC(a,a,product(b,c)),product(b,c))
    | bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(c,b),product(product(b,c),c)))),bind(Y,$fot(product(bigC(a,a,product(b,c)),product(b,product(c,c))))),bind(Z,$fot(product(bigC(a,a,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_18166,plain,
    ( product(bigC(a,a,product(b,c)),product(b,product(c,c))) != product(bigC(a,a,product(b,c)),product(b,c))
    | bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(b,c),c)),product(bigC(a,a,product(b,c)),product(b,product(c,c)))) )],[refute_0_18164,refute_0_18165]) ).

cnf(refute_0_18167,plain,
    bigC(product(a,c),product(c,b),product(product(b,c),c)) = product(bigC(a,a,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,product(c,c))),product(bigC(a,a,product(b,c)),product(b,c))) )],[refute_0_18163,refute_0_18166]) ).

cnf(refute_0_18168,plain,
    ( bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(bigC(a,a,product(b,c)),product(b,c))
    | bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(product(bigC(a,a,c),c),product(b,product(a,c)))
    | product(bigC(a,a,product(b,c)),product(b,c)) = product(product(bigC(a,a,c),c),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(b,c),c)),product(product(bigC(a,a,c),c),product(b,product(a,c)))) ),[0],$fot(product(bigC(a,a,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_18169,plain,
    ( bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(product(bigC(a,a,c),c),product(b,product(a,c)))
    | product(bigC(a,a,product(b,c)),product(b,c)) = product(product(bigC(a,a,c),c),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(b,c),c)),product(bigC(a,a,product(b,c)),product(b,c))) )],[refute_0_18167,refute_0_18168]) ).

cnf(refute_0_18170,plain,
    product(product(bigC(a,a,c),b),bigC(c,c,a)) = product(product(bigC(a,a,c),b),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),b),bigC(c,c,a)))]]) ).

cnf(refute_0_18171,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(product(bigC(a,a,c),b),bigC(c,c,a)) != product(product(bigC(a,a,c),b),bigC(c,c,a))
    | product(product(bigC(a,a,c),b),bigC(c,c,a)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(c,c,a)),product(product(bigC(a,a,c),b),bigC(c,c,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18172,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(product(bigC(a,a,c),b),bigC(c,c,a)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(c,c,a)),product(product(bigC(a,a,c),b),bigC(c,c,a))) )],[refute_0_18170,refute_0_18171]) ).

cnf(refute_0_18173,plain,
    product(product(bigC(a,a,c),b),bigC(c,c,a)) = product(product(bigC(a,a,c),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_18172]) ).

cnf(refute_0_18174,plain,
    product(product(bigC(a,a,c),c),product(b,product(a,c))) = product(product(bigC(a,a,c),b),bigC(c,c,a)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_18175,plain,
    ( product(product(bigC(a,a,c),b),bigC(c,c,a)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | product(product(bigC(a,a,c),c),product(b,product(a,c))) != product(product(bigC(a,a,c),b),bigC(c,c,a))
    | product(product(bigC(a,a,c),c),product(b,product(a,c))) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),c),product(b,product(a,c))))),bind(Y,$fot(product(product(bigC(a,a,c),b),bigC(c,c,a)))),bind(Z,$fot(product(product(bigC(a,a,c),b),bigC(a,a,b))))]]) ).

cnf(refute_0_18176,plain,
    ( product(product(bigC(a,a,c),b),bigC(c,c,a)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | product(product(bigC(a,a,c),c),product(b,product(a,c))) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(b,product(a,c))),product(product(bigC(a,a,c),b),bigC(c,c,a))) )],[refute_0_18174,refute_0_18175]) ).

cnf(refute_0_18177,plain,
    product(product(bigC(a,a,c),c),product(b,product(a,c))) = product(product(bigC(a,a,c),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(c,c,a)),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18173,refute_0_18176]) ).

cnf(refute_0_18178,plain,
    ( product(bigC(a,a,product(b,c)),product(b,c)) != product(product(bigC(a,a,c),c),product(b,product(a,c)))
    | product(product(bigC(a,a,c),c),product(b,product(a,c))) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | product(bigC(a,a,product(b,c)),product(b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,product(b,c)),product(b,c)),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),[0],$fot(product(product(bigC(a,a,c),c),product(b,product(a,c))))]]) ).

cnf(refute_0_18179,plain,
    ( product(bigC(a,a,product(b,c)),product(b,c)) != product(product(bigC(a,a,c),c),product(b,product(a,c)))
    | product(bigC(a,a,product(b,c)),product(b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(b,product(a,c))),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18177,refute_0_18178]) ).

cnf(refute_0_18180,plain,
    ( bigC(product(a,c),product(c,b),product(product(b,c),c)) != product(product(bigC(a,a,c),c),product(b,product(a,c)))
    | product(bigC(a,a,product(b,c)),product(b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,c)),product(product(bigC(a,a,c),c),product(b,product(a,c)))) )],[refute_0_18169,refute_0_18179]) ).

cnf(refute_0_18181,plain,
    product(bigC(a,a,product(b,c)),product(b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(c,b),product(product(b,c),c)),product(product(bigC(a,a,c),c),product(b,product(a,c)))) )],[refute_0_18155,refute_0_18180]) ).

cnf(refute_0_18182,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = product(product(bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,b))),bind(X_22,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18183,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != product(product(bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))
    | product(bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,c),b)
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),product(product(bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))) ),[1,0],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_18184,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != product(product(bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,c),b)) )],[refute_0_17623,refute_0_18183]) ).

cnf(refute_0_18185,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = product(product(bigC(a,a,c),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),product(product(bigC(a,a,b),product(product(c,b),b)),bigC(a,a,b))) )],[refute_0_18182,refute_0_18184]) ).

cnf(refute_0_18186,plain,
    bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,b),product(a,c))),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(bigC(c,a,b),product(a,c)))),bind(X_22,$fot(product(product(bigC(c,a,b),b),b)))]]) ).

cnf(refute_0_18187,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = quotient(product(product(a,c),b),product(product(product(a,c),c),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(product(a,c),b),product(product(product(a,c),c),b)))),bind(Y,$fot(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))))]]) ).

cnf(refute_0_18188,plain,
    product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) = quotient(product(product(a,c),b),product(product(product(a,c),c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b))) )],[refute_0_17444,refute_0_18187]) ).

cnf(refute_0_18189,plain,
    ( bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,b),product(a,c)))
    | product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)) != quotient(product(product(a,c),b),product(product(product(a,c),c),b))
    | bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))),product(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,b),product(a,c)))) ),[1,0],$fot(quotient(product(product(a,c),b),product(product(product(a,c),c),b)))]]) ).

cnf(refute_0_18190,plain,
    ( bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) != product(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,b),product(a,c)))
    | bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),quotient(product(product(a,c),b),product(product(product(a,c),c),b))) )],[refute_0_18188,refute_0_18189]) ).

cnf(refute_0_18191,plain,
    bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))),product(product(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18186,refute_0_18190]) ).

cnf(refute_0_18192,plain,
    product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c))) = product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)))),bind(X_63,$fot(product(bigC(c,a,b),b))),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_18193,plain,
    bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c))),
    inference(subst,[],[refute_0_260:[bind(B,$fot(bigC(c,a,b))),bind(C,$fot(product(product(bigC(c,a,b),b),b))),bind(D,$fot(product(a,c)))]]) ).

cnf(refute_0_18194,plain,
    ( bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) != product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c))) != product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))))),bind(Y,$fot(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c))))),bind(Z,$fot(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))))]]) ).

cnf(refute_0_18195,plain,
    ( product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c))) != product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))),product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c)))) )],[refute_0_18193,refute_0_18194]) ).

cnf(refute_0_18196,plain,
    bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) = product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),b),product(a,c))),product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18192,refute_0_18195]) ).

cnf(refute_0_18197,plain,
    ( bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) != product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) ),[0],$fot(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))))]]) ).

cnf(refute_0_18198,plain,
    ( bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))),product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18196,refute_0_18197]) ).

cnf(refute_0_18199,plain,
    product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),product(a,c)),product(product(bigC(c,a,b),b),b),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18191,refute_0_18198]) ).

cnf(refute_0_18200,plain,
    bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) = product(bigC(c,a,b),product(product(a,c),bigC(c,a,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(c,a,b))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_18201,plain,
    ( bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) != product(bigC(c,a,b),product(product(a,c),bigC(c,a,b)))
    | product(product(a,c),bigC(c,a,b)) != product(a,product(b,c))
    | bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) = product(bigC(c,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)),product(bigC(c,a,b),product(product(a,c),bigC(c,a,b)))) ),[1,1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_18202,plain,
    ( bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) != product(bigC(c,a,b),product(product(a,c),bigC(c,a,b)))
    | bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) = product(bigC(c,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(c,a,b)),product(a,product(b,c))) )],[refute_0_3050,refute_0_18201]) ).

cnf(refute_0_18203,plain,
    bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) = product(bigC(c,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)),product(bigC(c,a,b),product(product(a,c),bigC(c,a,b)))) )],[refute_0_18200,refute_0_18202]) ).

cnf(refute_0_18204,plain,
    bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) = bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(c,a,b))),bind(B,$fot(product(a,c))),bind(C,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_18205,plain,
    ( bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) != bigC(bigC(c,a,b),product(a,c),bigC(c,a,b))
    | bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) != product(bigC(c,a,b),product(a,product(b,c)))
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = product(bigC(c,a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)),product(bigC(c,a,b),product(a,product(b,c)))) ),[0],$fot(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)))]]) ).

cnf(refute_0_18206,plain,
    ( bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)) != product(bigC(c,a,b),product(a,product(b,c)))
    | bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = product(bigC(c,a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)),bigC(bigC(c,a,b),product(a,c),bigC(c,a,b))) )],[refute_0_18204,refute_0_18205]) ).

cnf(refute_0_18207,plain,
    bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) = product(bigC(c,a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),bigC(c,a,b),product(a,c)),product(bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_18203,refute_0_18206]) ).

cnf(refute_0_18208,plain,
    product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))))]]) ).

cnf(refute_0_18209,plain,
    ( bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) != product(bigC(c,a,b),product(a,product(b,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))) ),[1,0],$fot(product(bigC(c,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_18210,plain,
    ( bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)) != product(bigC(c,a,b),product(a,product(b,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18208,refute_0_18209]) ).

cnf(refute_0_18211,plain,
    product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_18207,refute_0_18210]) ).

cnf(refute_0_18212,plain,
    ( product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) ),[0],$fot(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))))]]) ).

cnf(refute_0_18213,plain,
    ( product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18211,refute_0_18212]) ).

cnf(refute_0_18214,plain,
    product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(bigC(c,a,b),product(a,c),bigC(c,a,b)),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18199,refute_0_18213]) ).

cnf(refute_0_18215,plain,
    product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_18216,plain,
    ( product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != quotient(product(product(a,c),b),product(product(a,product(b,c)),b))
    | product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) ),[1,0],$fot(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_18217,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),c),b)) != quotient(product(product(a,c),b),product(product(a,product(b,c)),b))
    | product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18215,refute_0_18216]) ).

cnf(refute_0_18218,plain,
    product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),quotient(product(product(a,c),b),product(product(a,product(b,c)),b))) )],[refute_0_17452,refute_0_18217]) ).

cnf(refute_0_18219,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) ),[0],$fot(product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_18220,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18218,refute_0_18219]) ).

cnf(refute_0_18221,plain,
    product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(quotient(product(product(a,c),b),product(product(product(a,c),c),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18214,refute_0_18220]) ).

cnf(refute_0_18222,plain,
    ( bigC(c,product(c,b),X_23) != bigC(c,X_23,product(c,b))
    | bigC(c,X_23,product(c,b)) = bigC(c,product(c,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(c,b),X_23))),bind(Y,$fot(bigC(c,X_23,product(c,b))))]]) ).

cnf(refute_0_18223,plain,
    bigC(c,X_23,product(c,b)) = bigC(c,product(c,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),X_23),bigC(c,X_23,product(c,b))) )],[refute_0_1689,refute_0_18222]) ).

cnf(refute_0_18224,plain,
    bigC(c,bigC(a,a,b),product(c,b)) = bigC(c,product(c,b),bigC(a,a,b)),
    inference(subst,[],[refute_0_18223:[bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_18225,plain,
    product(product(c,bigC(a,a,b)),bigC(c,b,c)) = bigC(c,bigC(a,a,b),product(c,b)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(c)),bind(X_22,$fot(bigC(a,a,b))),bind(X_80,$fot(b))]]) ).

cnf(refute_0_18226,plain,
    ( bigC(c,bigC(a,a,b),product(c,b)) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),bigC(c,b,c)) != bigC(c,bigC(a,a,b),product(c,b))
    | product(product(c,bigC(a,a,b)),bigC(c,b,c)) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(a,a,b)),bigC(c,b,c)))),bind(Y,$fot(bigC(c,bigC(a,a,b),product(c,b)))),bind(Z,$fot(bigC(c,product(c,b),bigC(a,a,b))))]]) ).

cnf(refute_0_18227,plain,
    ( bigC(c,bigC(a,a,b),product(c,b)) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(c,bigC(a,a,b)),bigC(c,b,c)) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,b,c)),bigC(c,bigC(a,a,b),product(c,b))) )],[refute_0_18225,refute_0_18226]) ).

cnf(refute_0_18228,plain,
    product(product(c,bigC(a,a,b)),bigC(c,b,c)) = bigC(c,product(c,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,a,b),product(c,b)),bigC(c,product(c,b),bigC(a,a,b))) )],[refute_0_18224,refute_0_18227]) ).

cnf(refute_0_18229,plain,
    product(product(c,bigC(a,a,b)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(a,a,b)),bigC(c,c,b)))]]) ).

cnf(refute_0_18230,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(product(c,bigC(a,a,b)),bigC(c,c,b)) != product(product(c,bigC(a,a,b)),bigC(c,c,b))
    | product(product(c,bigC(a,a,b)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,c,b)),product(product(c,bigC(a,a,b)),bigC(c,c,b))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_18231,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(product(c,bigC(a,a,b)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,c,b)),product(product(c,bigC(a,a,b)),bigC(c,c,b))) )],[refute_0_18229,refute_0_18230]) ).

cnf(refute_0_18232,plain,
    product(product(c,bigC(a,a,b)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_18231]) ).

cnf(refute_0_18233,plain,
    product(c,bigC(a,b,a)) = product(c,bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,b,a)))]]) ).

cnf(refute_0_18234,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(c,bigC(a,b,a)) != product(c,bigC(a,b,a))
    | product(c,bigC(a,b,a)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,b,a)),product(c,bigC(a,b,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18235,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(c,bigC(a,b,a)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,a)),product(c,bigC(a,b,a))) )],[refute_0_18233,refute_0_18234]) ).

cnf(refute_0_18236,plain,
    product(c,bigC(a,b,a)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_18235]) ).

cnf(refute_0_18237,plain,
    product(bigC(c,c,c),bigC(a,b,a)) = product(bigC(c,c,c),bigC(a,b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,c),bigC(a,b,a)))]]) ).

cnf(refute_0_18238,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(a,b,a)) != product(bigC(c,c,c),bigC(a,b,a))
    | product(bigC(c,c,c),bigC(a,b,a)) = product(c,bigC(a,b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,c),bigC(a,b,a)),product(bigC(c,c,c),bigC(a,b,a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_18239,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(a,b,a)) = product(c,bigC(a,b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,b,a)),product(bigC(c,c,c),bigC(a,b,a))) )],[refute_0_18237,refute_0_18238]) ).

cnf(refute_0_18240,plain,
    product(bigC(c,c,c),bigC(a,b,a)) = product(c,bigC(a,b,a)),
    inference(resolve,[$cnf( $equal(bigC(c,c,c),c) )],[refute_0_3568,refute_0_18239]) ).

cnf(refute_0_18241,plain,
    ( product(bigC(c,c,c),bigC(a,b,a)) != product(c,bigC(a,b,a))
    | product(c,bigC(a,b,a)) != product(c,bigC(a,a,b))
    | product(bigC(c,c,c),bigC(a,b,a)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,c,c),bigC(a,b,a)))),bind(Y,$fot(product(c,bigC(a,b,a)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_18242,plain,
    ( product(c,bigC(a,b,a)) != product(c,bigC(a,a,b))
    | product(bigC(c,c,c),bigC(a,b,a)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,b,a)),product(c,bigC(a,b,a))) )],[refute_0_18240,refute_0_18241]) ).

cnf(refute_0_18243,plain,
    product(bigC(c,c,c),bigC(a,b,a)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,a)),product(c,bigC(a,a,b))) )],[refute_0_18236,refute_0_18242]) ).

cnf(refute_0_18244,plain,
    product(bigC(c,a,c),product(product(c,b),a)) = product(bigC(c,c,c),bigC(a,b,a)),
    inference(subst,[],[refute_0_283:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_18245,plain,
    ( product(bigC(c,a,c),product(product(c,b),a)) != product(bigC(c,c,c),bigC(a,b,a))
    | product(bigC(c,c,c),bigC(a,b,a)) != product(c,bigC(a,a,b))
    | product(bigC(c,a,c),product(product(c,b),a)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,c),product(product(c,b),a)))),bind(Y,$fot(product(bigC(c,c,c),bigC(a,b,a)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_18246,plain,
    ( product(bigC(c,c,c),bigC(a,b,a)) != product(c,bigC(a,a,b))
    | product(bigC(c,a,c),product(product(c,b),a)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(c,b),a)),product(bigC(c,c,c),bigC(a,b,a))) )],[refute_0_18244,refute_0_18245]) ).

cnf(refute_0_18247,plain,
    product(bigC(c,a,c),product(product(c,b),a)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,b,a)),product(c,bigC(a,a,b))) )],[refute_0_18243,refute_0_18246]) ).

cnf(refute_0_18248,plain,
    product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)))]]) ).

cnf(refute_0_18249,plain,
    ( product(bigC(c,a,c),product(product(c,b),a)) != product(c,bigC(a,a,b))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) != product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_18250,plain,
    ( product(bigC(c,a,c),product(product(c,b),a)) != product(c,bigC(a,a,b))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b))) )],[refute_0_18248,refute_0_18249]) ).

cnf(refute_0_18251,plain,
    product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),product(product(c,b),a)),product(c,bigC(a,a,b))) )],[refute_0_18247,refute_0_18250]) ).

cnf(refute_0_18252,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) != product(product(c,bigC(a,a,b)),bigC(c,c,b))
    | product(product(c,bigC(a,a,b)),bigC(c,c,b)) != product(product(c,bigC(a,a,b)),bigC(c,b,c))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)))),bind(Y,$fot(product(product(c,bigC(a,a,b)),bigC(c,c,b)))),bind(Z,$fot(product(product(c,bigC(a,a,b)),bigC(c,b,c))))]]) ).

cnf(refute_0_18253,plain,
    ( product(product(c,bigC(a,a,b)),bigC(c,c,b)) != product(product(c,bigC(a,a,b)),bigC(c,b,c))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),product(product(c,bigC(a,a,b)),bigC(c,c,b))) )],[refute_0_18251,refute_0_18252]) ).

cnf(refute_0_18254,plain,
    product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(c,bigC(a,a,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,c,b)),product(product(c,bigC(a,a,b)),bigC(c,b,c))) )],[refute_0_18232,refute_0_18253]) ).

cnf(refute_0_18255,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) != product(product(c,bigC(a,a,b)),bigC(c,b,c))
    | product(product(c,bigC(a,a,b)),bigC(c,b,c)) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)))),bind(Y,$fot(product(product(c,bigC(a,a,b)),bigC(c,b,c)))),bind(Z,$fot(bigC(c,product(c,b),bigC(a,a,b))))]]) ).

cnf(refute_0_18256,plain,
    ( product(product(c,bigC(a,a,b)),bigC(c,b,c)) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),product(product(c,bigC(a,a,b)),bigC(c,b,c))) )],[refute_0_18254,refute_0_18255]) ).

cnf(refute_0_18257,plain,
    product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) = bigC(c,product(c,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),bigC(c,b,c)),bigC(c,product(c,b),bigC(a,a,b))) )],[refute_0_18228,refute_0_18256]) ).

cnf(refute_0_18258,plain,
    product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) = product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(bigC(c,a,c))),bind(B,$fot(c)),bind(C,$fot(product(product(c,b),a))),bind(X_84,$fot(b))]]) ).

cnf(refute_0_18259,plain,
    ( product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) != product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b))
    | product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))))),bind(Y,$fot(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)))),bind(Z,$fot(bigC(c,product(c,b),bigC(a,a,b))))]]) ).

cnf(refute_0_18260,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))),product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b))) )],[refute_0_18258,refute_0_18259]) ).

cnf(refute_0_18261,plain,
    product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) = bigC(c,product(c,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),a)),bigC(c,c,b)),bigC(c,product(c,b),bigC(a,a,b))) )],[refute_0_18257,refute_0_18260]) ).

cnf(refute_0_18262,plain,
    product(product(bigC(c,a,b),b),a) = product(product(bigC(c,a,b),b),a),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),b),a))]]) ).

cnf(refute_0_18263,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | product(product(bigC(c,a,b),b),a) != product(product(bigC(c,a,b),b),a)
    | product(product(bigC(c,a,b),b),a) = product(product(c,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),b),a),product(product(bigC(c,a,b),b),a)) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_18264,plain,
    ( product(bigC(c,a,b),b) != product(c,b)
    | product(product(bigC(c,a,b),b),a) = product(product(c,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),b),a),product(product(bigC(c,a,b),b),a)) )],[refute_0_18262,refute_0_18263]) ).

cnf(refute_0_18265,plain,
    product(product(bigC(c,a,b),b),a) = product(product(c,b),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),b),product(c,b)) )],[refute_0_3333,refute_0_18264]) ).

cnf(refute_0_18266,plain,
    product(product(product(bigC(c,a,b),b),a),product(b,c)) = product(product(product(bigC(c,a,b),b),a),product(b,c)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),b),a),product(b,c)))]]) ).

cnf(refute_0_18267,plain,
    ( product(product(bigC(c,a,b),b),a) != product(product(c,b),a)
    | product(product(product(bigC(c,a,b),b),a),product(b,c)) != product(product(product(bigC(c,a,b),b),a),product(b,c))
    | product(product(product(bigC(c,a,b),b),a),product(b,c)) = product(product(product(c,b),a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),b),a),product(b,c)),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),[1,0],$fot(product(product(c,b),a))]]) ).

cnf(refute_0_18268,plain,
    ( product(product(bigC(c,a,b),b),a) != product(product(c,b),a)
    | product(product(product(bigC(c,a,b),b),a),product(b,c)) = product(product(product(c,b),a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),b),a),product(b,c)),product(product(product(bigC(c,a,b),b),a),product(b,c))) )],[refute_0_18266,refute_0_18267]) ).

cnf(refute_0_18269,plain,
    product(product(product(bigC(c,a,b),b),a),product(b,c)) = product(product(product(c,b),a),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),b),a),product(product(c,b),a)) )],[refute_0_18265,refute_0_18268]) ).

cnf(refute_0_18270,plain,
    product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))))]]) ).

cnf(refute_0_18271,plain,
    ( product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | product(product(product(bigC(c,a,b),b),a),product(b,c)) != product(product(product(c,b),a),product(b,c))
    | product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c)))) ),[1,1],$fot(product(product(product(c,b),a),product(b,c)))]]) ).

cnf(refute_0_18272,plain,
    ( product(product(product(bigC(c,a,b),b),a),product(b,c)) != product(product(product(c,b),a),product(b,c))
    | product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18270,refute_0_18271]) ).

cnf(refute_0_18273,plain,
    product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),b),a),product(b,c)),product(product(product(c,b),a),product(b,c))) )],[refute_0_18269,refute_0_18272]) ).

cnf(refute_0_18274,plain,
    ( product(bigC(c,a,c),c) != product(c,product(a,product(b,c)))
    | product(c,product(a,product(b,c))) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(c,a,c),c))),bind(Y,$fot(product(c,product(a,product(b,c)))))]]) ).

cnf(refute_0_18275,plain,
    product(c,product(a,product(b,c))) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(c,product(a,product(b,c)))) )],[refute_0_1618,refute_0_18274]) ).

cnf(refute_0_18276,plain,
    product(bigC(c,a,b),product(a,product(b,c))) = product(bigC(c,a,b),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,b),product(a,product(b,c))))]]) ).

cnf(refute_0_18277,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(a,product(b,c))) != product(bigC(c,a,b),product(a,product(b,c)))
    | product(bigC(c,a,b),product(a,product(b,c))) = product(c,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,b),product(a,product(b,c))),product(bigC(c,a,b),product(a,product(b,c)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_18278,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,a,b),product(a,product(b,c))) = product(c,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,product(b,c))),product(bigC(c,a,b),product(a,product(b,c)))) )],[refute_0_18276,refute_0_18277]) ).

cnf(refute_0_18279,plain,
    product(bigC(c,a,b),product(a,product(b,c))) = product(c,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_18278]) ).

cnf(refute_0_18280,plain,
    ( product(bigC(c,a,b),product(a,product(b,c))) != product(c,product(a,product(b,c)))
    | product(c,product(a,product(b,c))) != product(bigC(c,a,c),c)
    | product(bigC(c,a,b),product(a,product(b,c))) = product(bigC(c,a,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,a,b),product(a,product(b,c))))),bind(Y,$fot(product(c,product(a,product(b,c))))),bind(Z,$fot(product(bigC(c,a,c),c)))]]) ).

cnf(refute_0_18281,plain,
    ( product(c,product(a,product(b,c))) != product(bigC(c,a,c),c)
    | product(bigC(c,a,b),product(a,product(b,c))) = product(bigC(c,a,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,product(b,c))),product(c,product(a,product(b,c)))) )],[refute_0_18279,refute_0_18280]) ).

cnf(refute_0_18282,plain,
    product(bigC(c,a,b),product(a,product(b,c))) = product(bigC(c,a,c),c),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,c))),product(bigC(c,a,c),c)) )],[refute_0_18275,refute_0_18281]) ).

cnf(refute_0_18283,plain,
    product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))))]]) ).

cnf(refute_0_18284,plain,
    ( product(bigC(c,a,b),product(a,product(b,c))) != product(bigC(c,a,c),c)
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c)))) ),[1,0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_18285,plain,
    ( product(bigC(c,a,b),product(a,product(b,c))) != product(bigC(c,a,c),c)
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18283,refute_0_18284]) ).

cnf(refute_0_18286,plain,
    product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,product(b,c))),product(bigC(c,a,c),c)) )],[refute_0_18282,refute_0_18285]) ).

cnf(refute_0_18287,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c)))
    | product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))))),bind(Y,$fot(product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))))),bind(Z,$fot(product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c)))))]]) ).

cnf(refute_0_18288,plain,
    ( product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c)))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c)))) )],[refute_0_18286,refute_0_18287]) ).

cnf(refute_0_18289,plain,
    product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c)))) )],[refute_0_18273,refute_0_18288]) ).

cnf(refute_0_18290,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c)))
    | product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))))),bind(Y,$fot(product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))))),bind(Z,$fot(bigC(c,product(c,b),bigC(a,a,b))))]]) ).

cnf(refute_0_18291,plain,
    ( product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = bigC(c,product(c,b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c)))) )],[refute_0_18289,refute_0_18290]) ).

cnf(refute_0_18292,plain,
    product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) = bigC(c,product(c,b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,product(c,b),bigC(a,a,b))) )],[refute_0_18261,refute_0_18291]) ).

cnf(refute_0_18293,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != bigC(c,product(c,b),bigC(a,a,b))
    | product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | bigC(c,product(c,b),bigC(a,a,b)) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) ),[0],$fot(bigC(c,product(c,b),bigC(a,a,b)))]]) ).

cnf(refute_0_18294,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | bigC(c,product(c,b),bigC(a,a,b)) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),bigC(c,product(c,b),bigC(a,a,b))) )],[refute_0_18292,refute_0_18293]) ).

cnf(refute_0_18295,plain,
    bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(c,a,c))),bind(B,$fot(bigC(c,a,c))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18296,plain,
    product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) = bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c)),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(bigC(c,a,c))),bind(X_22,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18297,plain,
    ( bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) != bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c))
    | product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)))),bind(Y,$fot(bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c)))),bind(Z,$fot(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_18298,plain,
    ( bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)),bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c))) )],[refute_0_18296,refute_0_18297]) ).

cnf(refute_0_18299,plain,
    product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),product(product(c,b),b),bigC(c,a,c)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18295,refute_0_18298]) ).

cnf(refute_0_18300,plain,
    product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_18301,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) != product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c)))
    | product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))),product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c)))) ),[1,1],$fot(bigC(c,a,c))]]) ).

cnf(refute_0_18302,plain,
    ( product(bigC(c,a,b),product(a,c)) != bigC(c,a,c)
    | product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))),product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18300,refute_0_18301]) ).

cnf(refute_0_18303,plain,
    product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(a,c)),bigC(c,a,c)) )],[refute_0_2602,refute_0_18302]) ).

cnf(refute_0_18304,plain,
    product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_18305,plain,
    ( product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) ),[1,0],$fot(product(bigC(c,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_18306,plain,
    ( quotient(product(product(a,c),b),product(product(a,product(b,c)),b)) != product(bigC(c,a,c),product(product(c,b),b))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18304,refute_0_18305]) ).

cnf(refute_0_18307,plain,
    product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,c),product(product(c,b),b))) )],[refute_0_17473,refute_0_18306]) ).

cnf(refute_0_18308,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) != product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) != product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c)))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))))),bind(Y,$fot(product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))))),bind(Z,$fot(product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c))))]]) ).

cnf(refute_0_18309,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))) != product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18307,refute_0_18308]) ).

cnf(refute_0_18310,plain,
    product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),b)),product(bigC(c,a,b),product(a,c))),product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c))) )],[refute_0_18303,refute_0_18309]) ).

cnf(refute_0_18311,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) != product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))))),bind(Y,$fot(product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)))),bind(Z,$fot(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))))]]) ).

cnf(refute_0_18312,plain,
    ( product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c))) )],[refute_0_18310,refute_0_18311]) ).

cnf(refute_0_18313,plain,
    product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),product(product(c,b),b)),bigC(c,a,c)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18299,refute_0_18312]) ).

cnf(refute_0_18314,plain,
    ( bigC(c,product(c,b),bigC(a,a,b)) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(c,b),bigC(a,a,b)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) ),[0],$fot(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))))]]) ).

cnf(refute_0_18315,plain,
    ( bigC(c,product(c,b),bigC(a,a,b)) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c))),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18313,refute_0_18314]) ).

cnf(refute_0_18316,plain,
    ( product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))) != product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))
    | bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(a,a,b)),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18294,refute_0_18315]) ).

cnf(refute_0_18317,plain,
    bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),product(a,product(b,c))),product(product(product(bigC(c,a,b),b),a),product(b,c))),product(quotient(product(product(a,c),b),product(product(a,product(b,c)),b)),product(bigC(c,a,b),product(a,c)))) )],[refute_0_18221,refute_0_18316]) ).

cnf(refute_0_18318,plain,
    bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_18319,plain,
    ( bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) != bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b))
    | bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18320,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18318,refute_0_18319]) ).

cnf(refute_0_18321,plain,
    bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_18320]) ).

cnf(refute_0_18322,plain,
    bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)))]]) ).

cnf(refute_0_18323,plain,
    ( bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18324,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18322,refute_0_18323]) ).

cnf(refute_0_18325,plain,
    bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_18324]) ).

cnf(refute_0_18326,plain,
    ( bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) != bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b))
    | bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)))),bind(Z,$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))))]]) ).

cnf(refute_0_18327,plain,
    ( bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18325,refute_0_18326]) ).

cnf(refute_0_18328,plain,
    bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))) )],[refute_0_18321,refute_0_18327]) ).

cnf(refute_0_18329,plain,
    ( bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(c,product(c,b),bigC(a,a,b)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,b),bigC(a,a,b)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) ),[1],$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_18330,plain,
    ( bigC(c,product(c,b),bigC(a,a,b)) != bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))
    | bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))) )],[refute_0_18328,refute_0_18329]) ).

cnf(refute_0_18331,plain,
    bigC(c,product(c,b),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(a,a,b)),bigC(bigC(c,a,c),bigC(c,a,c),product(product(c,b),b))) )],[refute_0_18317,refute_0_18330]) ).

cnf(refute_0_18332,plain,
    product(product(c,X_23),product(bigC(a,a,b),c)) = bigC(c,X_23,bigC(a,a,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(X_23)),bind(C,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_18333,plain,
    product(product(c,X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),bigC(a,c,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,X_23),bigC(a,c,product(c,b))))]]) ).

cnf(refute_0_18334,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | product(product(c,X_23),bigC(a,c,product(c,b))) != product(product(c,X_23),bigC(a,c,product(c,b)))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),product(bigC(a,a,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),product(product(c,X_23),bigC(a,c,product(c,b)))) ),[1,1],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_18335,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | product(product(c,X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),product(bigC(a,a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),product(product(c,X_23),bigC(a,c,product(c,b)))) )],[refute_0_18333,refute_0_18334]) ).

cnf(refute_0_18336,plain,
    product(product(c,X_23),bigC(a,c,product(c,b))) = product(product(c,X_23),product(bigC(a,a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(bigC(a,a,b),c)) )],[refute_0_14868,refute_0_18335]) ).

cnf(refute_0_18337,plain,
    ( product(product(c,X_23),bigC(a,c,product(c,b))) != product(product(c,X_23),product(bigC(a,a,b),c))
    | product(product(c,X_23),product(bigC(a,a,b),c)) != bigC(c,X_23,bigC(a,a,b))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(c,X_23,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,X_23),bigC(a,c,product(c,b))))),bind(Y,$fot(product(product(c,X_23),product(bigC(a,a,b),c)))),bind(Z,$fot(bigC(c,X_23,bigC(a,a,b))))]]) ).

cnf(refute_0_18338,plain,
    ( product(product(c,X_23),product(bigC(a,a,b),c)) != bigC(c,X_23,bigC(a,a,b))
    | product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(c,X_23,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),product(product(c,X_23),product(bigC(a,a,b),c))) )],[refute_0_18336,refute_0_18337]) ).

cnf(refute_0_18339,plain,
    product(product(c,X_23),bigC(a,c,product(c,b))) = bigC(c,X_23,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(bigC(a,a,b),c)),bigC(c,X_23,bigC(a,a,b))) )],[refute_0_18332,refute_0_18338]) ).

cnf(refute_0_18340,plain,
    ( product(product(c,X_23),bigC(a,c,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | product(product(c,X_23),bigC(a,c,product(c,b))) != bigC(c,X_23,bigC(a,a,b))
    | bigC(c,X_23,bigC(a,a,b)) = bigC(a,X_23,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),bigC(a,X_23,bigC(b,b,c))) ),[0],$fot(bigC(c,X_23,bigC(a,a,b)))]]) ).

cnf(refute_0_18341,plain,
    ( product(product(c,X_23),bigC(a,c,product(c,b))) != bigC(a,X_23,bigC(b,b,c))
    | bigC(c,X_23,bigC(a,a,b)) = bigC(a,X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),bigC(c,X_23,bigC(a,a,b))) )],[refute_0_18339,refute_0_18340]) ).

cnf(refute_0_18342,plain,
    bigC(c,X_23,bigC(a,a,b)) = bigC(a,X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(a,c,product(c,b))),bigC(a,X_23,bigC(b,b,c))) )],[refute_0_5634,refute_0_18341]) ).

cnf(refute_0_18343,plain,
    bigC(c,product(c,b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_18342:[bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_18344,plain,
    ( bigC(c,product(c,b),bigC(a,a,b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(c,product(c,b),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))) ),[0],$fot(bigC(a,product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18345,plain,
    ( bigC(c,product(c,b),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(a,a,b)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18343,refute_0_18344]) ).

cnf(refute_0_18346,plain,
    bigC(a,product(c,b),bigC(b,b,c)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))) )],[refute_0_18331,refute_0_18345]) ).

cnf(refute_0_18347,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,product(c,b),bigC(b,b,c)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))))]]) ).

cnf(refute_0_18348,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))) )],[refute_0_18346,refute_0_18347]) ).

cnf(refute_0_18349,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,b))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18350,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)))),bind(Y,$fot(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)))),bind(Z,$fot(bigC(a,product(c,b),bigC(b,b,c))))]]) ).

cnf(refute_0_18351,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b))) )],[refute_0_18349,refute_0_18350]) ).

cnf(refute_0_18352,plain,
    bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18348,refute_0_18351]) ).

cnf(refute_0_18353,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),[0],$fot(bigC(a,product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18354,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18352,refute_0_18353]) ).

cnf(refute_0_18355,plain,
    ( product(bigC(a,a,product(b,c)),product(b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,product(b,c)),product(b,c)))),bind(Y,$fot(product(product(bigC(a,a,c),b),bigC(a,a,b))))]]) ).

cnf(refute_0_18356,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(bigC(a,a,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,c)),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18181,refute_0_18355]) ).

cnf(refute_0_18357,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != product(bigC(a,a,product(b,c)),product(b,c))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(c,b),bigC(b,b,c)),product(bigC(a,a,product(b,c)),product(b,c))) ),[0],$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))]]) ).

cnf(refute_0_18358,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),product(bigC(a,a,product(b,c)),product(b,c))) )],[refute_0_18356,refute_0_18357]) ).

cnf(refute_0_18359,plain,
    ( bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(bigC(a,a,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18354,refute_0_18358]) ).

cnf(refute_0_18360,plain,
    bigC(a,product(c,b),bigC(b,b,c)) = product(bigC(a,a,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),product(product(c,b),b),bigC(a,a,b)),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18185,refute_0_18359]) ).

cnf(refute_0_18361,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(bigC(a,a,product(b,c)),product(b,c))
    | product(bigC(a,a,product(b,c)),product(b,c)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,product(c,b),bigC(b,b,c)))),bind(Y,$fot(product(bigC(a,a,product(b,c)),product(b,c))))]]) ).

cnf(refute_0_18362,plain,
    product(bigC(a,a,product(b,c)),product(b,c)) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),product(bigC(a,a,product(b,c)),product(b,c))) )],[refute_0_18360,refute_0_18361]) ).

cnf(refute_0_18363,plain,
    ( product(bigC(a,a,product(b,c)),product(b,c)) != bigC(a,product(c,b),bigC(b,b,c))
    | product(bigC(a,a,product(b,c)),product(b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,c)),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),[0],$fot(bigC(a,product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18364,plain,
    ( product(bigC(a,a,product(b,c)),product(b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,c)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18362,refute_0_18363]) ).

cnf(refute_0_18365,plain,
    bigC(a,product(c,b),bigC(b,b,c)) = product(product(bigC(a,a,c),b),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,c)),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18181,refute_0_18364]) ).

cnf(refute_0_18366,plain,
    bigC(product(a,c),bigC(a,a,b),b) = bigC(product(a,c),b,bigC(a,a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_18367,plain,
    bigC(product(a,c),difference(product(a,c),product(bigC(a,a,c),c)),X_23) = product(product(bigC(a,a,c),c),product(X_23,product(a,c))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(bigC(a,a,c),c))),bind(X_21,$fot(product(a,c)))]]) ).

cnf(refute_0_18368,plain,
    ( bigC(product(a,c),difference(product(a,c),product(bigC(a,a,c),c)),X_23) != product(product(bigC(a,a,c),c),product(X_23,product(a,c)))
    | difference(product(a,c),product(bigC(a,a,c),c)) != bigC(a,a,b)
    | bigC(product(a,c),bigC(a,a,b),X_23) = product(product(bigC(a,a,c),c),product(X_23,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),product(bigC(a,a,c),c)),X_23),product(product(bigC(a,a,c),c),product(X_23,product(a,c)))) ),[0,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18369,plain,
    ( bigC(product(a,c),difference(product(a,c),product(bigC(a,a,c),c)),X_23) != product(product(bigC(a,a,c),c),product(X_23,product(a,c)))
    | bigC(product(a,c),bigC(a,a,b),X_23) = product(product(bigC(a,a,c),c),product(X_23,product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(bigC(a,a,c),c)),bigC(a,a,b)) )],[refute_0_6125,refute_0_18368]) ).

cnf(refute_0_18370,plain,
    bigC(product(a,c),bigC(a,a,b),X_23) = product(product(bigC(a,a,c),c),product(X_23,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),difference(product(a,c),product(bigC(a,a,c),c)),X_23),product(product(bigC(a,a,c),c),product(X_23,product(a,c)))) )],[refute_0_18367,refute_0_18369]) ).

cnf(refute_0_18371,plain,
    product(product(bigC(a,a,c),X_23),bigC(c,c,a)) = product(product(bigC(a,a,c),X_23),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),X_23),bigC(c,c,a)))]]) ).

cnf(refute_0_18372,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(product(bigC(a,a,c),X_23),bigC(c,c,a)) != product(product(bigC(a,a,c),X_23),bigC(c,c,a))
    | product(product(bigC(a,a,c),X_23),bigC(c,c,a)) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),X_23),bigC(c,c,a)),product(product(bigC(a,a,c),X_23),bigC(c,c,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18373,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(product(bigC(a,a,c),X_23),bigC(c,c,a)) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),X_23),bigC(c,c,a)),product(product(bigC(a,a,c),X_23),bigC(c,c,a))) )],[refute_0_18371,refute_0_18372]) ).

cnf(refute_0_18374,plain,
    product(product(bigC(a,a,c),X_23),bigC(c,c,a)) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_18373]) ).

cnf(refute_0_18375,plain,
    product(product(bigC(a,a,c),c),product(X_23,product(a,c))) = product(product(bigC(a,a,c),X_23),bigC(c,c,a)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(c)),bind(C,$fot(X_23)),bind(X_84,$fot(a))]]) ).

cnf(refute_0_18376,plain,
    ( product(product(bigC(a,a,c),X_23),bigC(c,c,a)) != product(product(bigC(a,a,c),X_23),bigC(a,a,b))
    | product(product(bigC(a,a,c),c),product(X_23,product(a,c))) != product(product(bigC(a,a,c),X_23),bigC(c,c,a))
    | product(product(bigC(a,a,c),c),product(X_23,product(a,c))) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),c),product(X_23,product(a,c))))),bind(Y,$fot(product(product(bigC(a,a,c),X_23),bigC(c,c,a)))),bind(Z,$fot(product(product(bigC(a,a,c),X_23),bigC(a,a,b))))]]) ).

cnf(refute_0_18377,plain,
    ( product(product(bigC(a,a,c),X_23),bigC(c,c,a)) != product(product(bigC(a,a,c),X_23),bigC(a,a,b))
    | product(product(bigC(a,a,c),c),product(X_23,product(a,c))) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(X_23,product(a,c))),product(product(bigC(a,a,c),X_23),bigC(c,c,a))) )],[refute_0_18375,refute_0_18376]) ).

cnf(refute_0_18378,plain,
    product(product(bigC(a,a,c),c),product(X_23,product(a,c))) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),X_23),bigC(c,c,a)),product(product(bigC(a,a,c),X_23),bigC(a,a,b))) )],[refute_0_18374,refute_0_18377]) ).

cnf(refute_0_18379,plain,
    ( bigC(product(a,c),bigC(a,a,b),X_23) != product(product(bigC(a,a,c),c),product(X_23,product(a,c)))
    | product(product(bigC(a,a,c),c),product(X_23,product(a,c))) != product(product(bigC(a,a,c),X_23),bigC(a,a,b))
    | bigC(product(a,c),bigC(a,a,b),X_23) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),bigC(a,a,b),X_23),product(product(bigC(a,a,c),X_23),bigC(a,a,b))) ),[0],$fot(product(product(bigC(a,a,c),c),product(X_23,product(a,c))))]]) ).

cnf(refute_0_18380,plain,
    ( bigC(product(a,c),bigC(a,a,b),X_23) != product(product(bigC(a,a,c),c),product(X_23,product(a,c)))
    | bigC(product(a,c),bigC(a,a,b),X_23) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(X_23,product(a,c))),product(product(bigC(a,a,c),X_23),bigC(a,a,b))) )],[refute_0_18378,refute_0_18379]) ).

cnf(refute_0_18381,plain,
    bigC(product(a,c),bigC(a,a,b),X_23) = product(product(bigC(a,a,c),X_23),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),X_23),product(product(bigC(a,a,c),c),product(X_23,product(a,c)))) )],[refute_0_18370,refute_0_18380]) ).

cnf(refute_0_18382,plain,
    ( bigC(product(a,c),bigC(a,a,b),X_23) != product(product(bigC(a,a,c),X_23),bigC(a,a,b))
    | product(product(bigC(a,a,c),X_23),bigC(a,a,b)) = bigC(product(a,c),bigC(a,a,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,c),bigC(a,a,b),X_23))),bind(Y,$fot(product(product(bigC(a,a,c),X_23),bigC(a,a,b))))]]) ).

cnf(refute_0_18383,plain,
    product(product(bigC(a,a,c),X_23),bigC(a,a,b)) = bigC(product(a,c),bigC(a,a,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),X_23),product(product(bigC(a,a,c),X_23),bigC(a,a,b))) )],[refute_0_18381,refute_0_18382]) ).

cnf(refute_0_18384,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(product(a,c),bigC(a,a,b),b),
    inference(subst,[],[refute_0_18383:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_18385,plain,
    ( bigC(product(a,c),bigC(a,a,b),b) != bigC(product(a,c),b,bigC(a,a,b))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != bigC(product(a,c),bigC(a,a,b),b)
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(product(a,c),b,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))),bind(Y,$fot(bigC(product(a,c),bigC(a,a,b),b))),bind(Z,$fot(bigC(product(a,c),b,bigC(a,a,b))))]]) ).

cnf(refute_0_18386,plain,
    ( bigC(product(a,c),bigC(a,a,b),b) != bigC(product(a,c),b,bigC(a,a,b))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(product(a,c),b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),bigC(product(a,c),bigC(a,a,b),b)) )],[refute_0_18384,refute_0_18385]) ).

cnf(refute_0_18387,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(product(a,c),b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),b),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18366,refute_0_18386]) ).

cnf(refute_0_18388,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != bigC(product(a,c),b,bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(product(a,c),b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(product(a,c),b,bigC(a,a,b))) ),[0],$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))]]) ).

cnf(refute_0_18389,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(product(bigC(a,a,c),b),bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(product(a,c),b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18387,refute_0_18388]) ).

cnf(refute_0_18390,plain,
    bigC(a,product(c,b),bigC(b,b,c)) = bigC(product(a,c),b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),product(product(bigC(a,a,c),b),bigC(a,a,b))) )],[refute_0_18365,refute_0_18389]) ).

cnf(refute_0_18391,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != bigC(product(a,c),b,bigC(a,a,b))
    | bigC(product(a,c),b,bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,product(c,b),bigC(b,b,c)))),bind(Y,$fot(bigC(product(a,c),b,bigC(a,a,b))))]]) ).

cnf(refute_0_18392,plain,
    bigC(product(a,c),b,bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18390,refute_0_18391]) ).

cnf(refute_0_18393,plain,
    ( bigC(product(a,c),b,bigC(a,a,b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(product(a,c),bigC(a,a,b),b) != bigC(product(a,c),b,bigC(a,a,b))
    | bigC(product(a,c),bigC(a,a,b),b) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),bigC(a,a,b),b))),bind(Y,$fot(bigC(product(a,c),b,bigC(a,a,b)))),bind(Z,$fot(bigC(a,product(c,b),bigC(b,b,c))))]]) ).

cnf(refute_0_18394,plain,
    ( bigC(product(a,c),b,bigC(a,a,b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(product(a,c),bigC(a,a,b),b) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),b),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18366,refute_0_18393]) ).

cnf(refute_0_18395,plain,
    bigC(product(a,c),bigC(a,a,b),b) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,bigC(a,a,b)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18392,refute_0_18394]) ).

cnf(refute_0_18396,plain,
    ( bigC(product(a,c),bigC(a,a,b),b) != bigC(a,product(c,b),bigC(b,b,c))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != bigC(product(a,c),bigC(a,a,b),b)
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))),bind(Y,$fot(bigC(product(a,c),bigC(a,a,b),b))),bind(Z,$fot(bigC(a,product(c,b),bigC(b,b,c))))]]) ).

cnf(refute_0_18397,plain,
    ( bigC(product(a,c),bigC(a,a,b),b) != bigC(a,product(c,b),bigC(b,b,c))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),bigC(product(a,c),bigC(a,a,b),b)) )],[refute_0_18384,refute_0_18396]) ).

cnf(refute_0_18398,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = bigC(a,product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),b),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18395,refute_0_18397]) ).

cnf(refute_0_18399,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))))]]) ).

cnf(refute_0_18400,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != bigC(a,product(c,b),bigC(b,b,c))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18401,plain,
    ( product(product(bigC(a,a,c),b),bigC(a,a,b)) != bigC(a,product(c,b),bigC(b,b,c))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_18399,refute_0_18400]) ).

cnf(refute_0_18402,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18398,refute_0_18401]) ).

cnf(refute_0_18403,plain,
    ( difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) != product(bigC(b,b,c),c)
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c)))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))))),bind(Y,$fot(difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18404,plain,
    ( difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))) != product(bigC(b,b,c),c)
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c)))) )],[refute_0_18402,refute_0_18403]) ).

cnf(refute_0_18405,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),bigC(a,product(c,b),bigC(b,b,c))),product(bigC(b,b,c),c)) )],[refute_0_18151,refute_0_18404]) ).

cnf(refute_0_18406,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != product(bigC(b,b,c),c)
    | product(product(product(c,b),b),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(product(product(c,b),b),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18407,plain,
    ( product(product(product(c,b),b),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(product(product(c,b),b),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),product(bigC(b,b,c),c)) )],[refute_0_18405,refute_0_18406]) ).

cnf(refute_0_18408,plain,
    ( quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(product(product(c,b),b),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_17864,refute_0_18407]) ).

cnf(refute_0_18409,plain,
    product(product(product(c,b),b),bigC(a,a,b)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_17861,refute_0_18408]) ).

cnf(refute_0_18410,plain,
    product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)))]]) ).

cnf(refute_0_18411,plain,
    ( product(product(product(c,b),b),bigC(a,a,b)) != product(bigC(b,b,c),c)
    | product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) != product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))
    | product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(b,b,c),c),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18412,plain,
    ( product(product(product(c,b),b),bigC(a,a,b)) != product(bigC(b,b,c),c)
    | product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(b,b,c),c),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_18410,refute_0_18411]) ).

cnf(refute_0_18413,plain,
    product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = product(product(bigC(b,b,c),c),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(a,a,b)),product(bigC(b,b,c),c)) )],[refute_0_18409,refute_0_18412]) ).

cnf(refute_0_18414,plain,
    ( product(product(bigC(b,b,c),c),bigC(a,a,b)) != bigC(product(b,a),c,product(c,product(c,a)))
    | product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) != product(product(bigC(b,b,c),c),bigC(a,a,b))
    | product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = bigC(product(b,a),c,product(c,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)))),bind(Y,$fot(product(product(bigC(b,b,c),c),bigC(a,a,b)))),bind(Z,$fot(bigC(product(b,a),c,product(c,product(c,a)))))]]) ).

cnf(refute_0_18415,plain,
    ( product(product(bigC(b,b,c),c),bigC(a,a,b)) != bigC(product(b,a),c,product(c,product(c,a)))
    | product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = bigC(product(b,a),c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),product(product(bigC(b,b,c),c),bigC(a,a,b))) )],[refute_0_18413,refute_0_18414]) ).

cnf(refute_0_18416,plain,
    product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) = bigC(product(b,a),c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),bigC(a,a,b)),bigC(product(b,a),c,product(c,product(c,a)))) )],[refute_0_17858,refute_0_18415]) ).

cnf(refute_0_18417,plain,
    ( product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)) != bigC(product(b,a),c,product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = bigC(product(b,a),c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) ),[1],$fot(bigC(product(b,a),c,product(c,product(c,a))))]]) ).

cnf(refute_0_18418,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = bigC(product(b,a),c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b)),bigC(product(b,a),c,product(c,product(c,a)))) )],[refute_0_18416,refute_0_18417]) ).

cnf(refute_0_18419,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = bigC(product(b,a),c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),product(product(product(product(c,b),b),bigC(a,a,b)),bigC(a,a,b))) )],[refute_0_17626,refute_0_18418]) ).

cnf(refute_0_18420,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != bigC(product(b,a),c,product(c,product(c,a)))
    | quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[0,0],$fot(bigC(product(b,a),c,product(c,product(c,a))))]]) ).

cnf(refute_0_18421,plain,
    ( quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(product(b,a),c,product(c,product(c,a)))) )],[refute_0_18419,refute_0_18420]) ).

cnf(refute_0_18422,plain,
    quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_16952,refute_0_18421]) ).

cnf(refute_0_18423,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != product(bigC(b,b,c),c)
    | quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18424,plain,
    ( quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),product(bigC(b,b,c),c)) )],[refute_0_18405,refute_0_18423]) ).

cnf(refute_0_18425,plain,
    quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_18422,refute_0_18424]) ).

cnf(refute_0_18426,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))))]]) ).

cnf(refute_0_18427,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,c),b)) != product(a,bigC(b,b,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) ),[1,1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_18428,plain,
    ( product(bigC(a,a,b),product(bigC(a,a,c),b)) != product(a,bigC(b,b,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b)))) )],[refute_0_18426,refute_0_18427]) ).

cnf(refute_0_18429,plain,
    quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) = quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(a,a,c),b)),product(a,bigC(b,b,product(c,a)))) )],[refute_0_17318,refute_0_18428]) ).

cnf(refute_0_18430,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != bigC(product(b,a),c,product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a))))
    | quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) = bigC(product(b,a),c,product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(product(b,a),c,product(c,product(c,a)))) ),[0],$fot(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_18431,plain,
    ( quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))) != bigC(product(b,a),c,product(c,product(c,a)))
    | quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) = bigC(product(b,a),c,product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a))))) )],[refute_0_18429,refute_0_18430]) ).

cnf(refute_0_18432,plain,
    quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) = bigC(product(b,a),c,product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(bigC(a,a,b),product(bigC(a,a,c),b))),bigC(product(b,a),c,product(c,product(c,a)))) )],[refute_0_18419,refute_0_18431]) ).

cnf(refute_0_18433,plain,
    quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)))]]) ).

cnf(refute_0_18434,plain,
    ( quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) != bigC(product(b,a),c,product(c,product(c,a)))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) != quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b))) ),[1,0],$fot(bigC(product(b,a),c,product(c,product(c,a))))]]) ).

cnf(refute_0_18435,plain,
    ( quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))) != bigC(product(b,a),c,product(c,product(c,a)))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b))) )],[refute_0_18433,refute_0_18434]) ).

cnf(refute_0_18436,plain,
    quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(product(b,a),c,product(c,product(c,a)))) )],[refute_0_18432,refute_0_18435]) ).

cnf(refute_0_18437,plain,
    ( quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) != product(bigC(b,b,c),c)
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) != quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)))),bind(Y,$fot(quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)))),bind(Z,$fot(product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18438,plain,
    ( quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)) != product(bigC(b,b,c),c)
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b))) )],[refute_0_18436,refute_0_18437]) ).

cnf(refute_0_18439,plain,
    quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(b,a),c,product(c,product(c,a))),bigC(a,a,b)),product(bigC(b,b,c),c)) )],[refute_0_18425,refute_0_18438]) ).

cnf(refute_0_18440,plain,
    ( quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) != product(bigC(b,b,c),c)
    | product(bigC(b,b,c),c) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18441,plain,
    ( quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(bigC(b,b,c),c) = difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),product(bigC(b,b,c),c)) )],[refute_0_18439,refute_0_18440]) ).

cnf(refute_0_18442,plain,
    difference(product(c,product(a,c)),bigC(c,product(a,c),quotient(X_97,product(a,b)))) = product(quotient(X_97,product(a,b)),c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(product(a,c))),bind(X_23,$fot(quotient(X_97,product(a,b))))]]) ).

cnf(refute_0_18443,plain,
    product(c,X_97) = bigC(c,product(a,c),quotient(X_97,product(a,b))),
    inference(subst,[],[refute_0_1349:[bind(A,$fot(X_97))]]) ).

cnf(refute_0_18444,plain,
    ( product(c,X_97) != bigC(c,product(a,c),quotient(X_97,product(a,b)))
    | bigC(c,product(a,c),quotient(X_97,product(a,b))) = product(c,X_97) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,X_97))),bind(Y,$fot(bigC(c,product(a,c),quotient(X_97,product(a,b)))))]]) ).

cnf(refute_0_18445,plain,
    bigC(c,product(a,c),quotient(X_97,product(a,b))) = product(c,X_97),
    inference(resolve,[$cnf( $equal(product(c,X_97),bigC(c,product(a,c),quotient(X_97,product(a,b)))) )],[refute_0_18443,refute_0_18444]) ).

cnf(refute_0_18446,plain,
    ( bigC(c,product(a,c),quotient(X_97,product(a,b))) != product(c,X_97)
    | difference(product(c,product(a,c)),bigC(c,product(a,c),quotient(X_97,product(a,b)))) != product(quotient(X_97,product(a,b)),c)
    | difference(product(c,product(a,c)),product(c,X_97)) = product(quotient(X_97,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,c)),bigC(c,product(a,c),quotient(X_97,product(a,b)))),product(quotient(X_97,product(a,b)),c)) ),[0,1],$fot(product(c,X_97))]]) ).

cnf(refute_0_18447,plain,
    ( difference(product(c,product(a,c)),bigC(c,product(a,c),quotient(X_97,product(a,b)))) != product(quotient(X_97,product(a,b)),c)
    | difference(product(c,product(a,c)),product(c,X_97)) = product(quotient(X_97,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),quotient(X_97,product(a,b))),product(c,X_97)) )],[refute_0_18445,refute_0_18446]) ).

cnf(refute_0_18448,plain,
    difference(product(c,product(a,c)),product(c,X_97)) = product(quotient(X_97,product(a,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),bigC(c,product(a,c),quotient(X_97,product(a,b)))),product(quotient(X_97,product(a,b)),c)) )],[refute_0_18442,refute_0_18447]) ).

cnf(refute_0_18449,plain,
    difference(product(c,product(a,c)),product(c,X_97)) = difference(product(c,product(a,c)),product(c,X_97)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(a,c)),product(c,X_97)))]]) ).

cnf(refute_0_18450,plain,
    ( difference(product(c,product(a,c)),product(c,X_97)) != difference(product(c,product(a,c)),product(c,X_97))
    | product(c,product(a,c)) != bigC(a,a,b)
    | difference(product(c,product(a,c)),product(c,X_97)) = difference(bigC(a,a,b),product(c,X_97)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,c)),product(c,X_97)),difference(product(c,product(a,c)),product(c,X_97))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_18451,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | difference(product(c,product(a,c)),product(c,X_97)) = difference(bigC(a,a,b),product(c,X_97)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(c,X_97)),difference(product(c,product(a,c)),product(c,X_97))) )],[refute_0_18449,refute_0_18450]) ).

cnf(refute_0_18452,plain,
    difference(product(c,product(a,c)),product(c,X_97)) = difference(bigC(a,a,b),product(c,X_97)),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(a,a,b)) )],[refute_0_2622,refute_0_18451]) ).

cnf(refute_0_18453,plain,
    ( difference(product(c,product(a,c)),product(c,X_97)) != difference(bigC(a,a,b),product(c,X_97))
    | difference(product(c,product(a,c)),product(c,X_97)) != product(quotient(X_97,product(a,b)),c)
    | difference(bigC(a,a,b),product(c,X_97)) = product(quotient(X_97,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(a,c)),product(c,X_97)),product(quotient(X_97,product(a,b)),c)) ),[0],$fot(difference(bigC(a,a,b),product(c,X_97)))]]) ).

cnf(refute_0_18454,plain,
    ( difference(product(c,product(a,c)),product(c,X_97)) != product(quotient(X_97,product(a,b)),c)
    | difference(bigC(a,a,b),product(c,X_97)) = product(quotient(X_97,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(c,X_97)),difference(bigC(a,a,b),product(c,X_97))) )],[refute_0_18452,refute_0_18453]) ).

cnf(refute_0_18455,plain,
    difference(bigC(a,a,b),product(c,X_97)) = product(quotient(X_97,product(a,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,product(a,c)),product(c,X_97)),product(quotient(X_97,product(a,b)),c)) )],[refute_0_18448,refute_0_18454]) ).

cnf(refute_0_18456,plain,
    difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),
    inference(subst,[],[refute_0_18455:[bind(X_97,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_18457,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,b),product(product(product(c,b),b),bigC(a,a,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(a,a,b))),bind(X_23,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18458,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,b),product(product(product(c,b),b),bigC(a,a,b)))
    | product(product(product(c,b),b),bigC(a,a,b)) != product(bigC(b,b,c),c)
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,b),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,b),product(product(product(c,b),b),bigC(a,a,b)))) ),[1,1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18459,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,b),product(product(product(c,b),b),bigC(a,a,b)))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,b),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(a,a,b)),product(bigC(b,b,c),c)) )],[refute_0_18409,refute_0_18458]) ).

cnf(refute_0_18460,plain,
    bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) = product(bigC(a,a,b),product(bigC(b,b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,b),product(product(product(c,b),b),bigC(a,a,b)))) )],[refute_0_18457,refute_0_18459]) ).

cnf(refute_0_18461,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != bigC(a,product(c,b),bigC(b,b,c))
    | bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,b),product(bigC(b,b,c),c))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(bigC(a,a,b),product(bigC(b,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,b),product(bigC(b,b,c),c))) ),[0],$fot(bigC(a,product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18462,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,b),product(bigC(b,b,c),c))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(bigC(a,a,b),product(bigC(b,b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),bigC(a,product(c,b),bigC(b,b,c))) )],[refute_0_18348,refute_0_18461]) ).

cnf(refute_0_18463,plain,
    product(bigC(a,a,b),product(bigC(b,b,c),c)) = bigC(c,product(a,c),bigC(b,b,c)),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_18464,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(bigC(a,a,b),product(bigC(b,b,c),c))
    | product(bigC(a,a,b),product(bigC(b,b,c),c)) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(c,product(a,c),bigC(b,b,c))) ),[0],$fot(product(bigC(a,a,b),product(bigC(b,b,c),c)))]]) ).

cnf(refute_0_18465,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != product(bigC(a,a,b),product(bigC(b,b,c),c))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,b,c),c)),bigC(c,product(a,c),bigC(b,b,c))) )],[refute_0_18463,refute_0_18464]) ).

cnf(refute_0_18466,plain,
    ( bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)) != product(bigC(a,a,b),product(bigC(b,b,c),c))
    | bigC(a,product(c,b),bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),product(bigC(a,a,b),product(bigC(b,b,c),c))) )],[refute_0_18462,refute_0_18465]) ).

cnf(refute_0_18467,plain,
    bigC(a,product(c,b),bigC(b,b,c)) = bigC(c,product(a,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,b),bigC(a,a,b),product(product(c,b),b)),product(bigC(a,a,b),product(bigC(b,b,c),c))) )],[refute_0_18460,refute_0_18466]) ).

cnf(refute_0_18468,plain,
    product(c,bigC(a,b,product(c,b))) = product(c,bigC(a,b,product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,bigC(a,b,product(c,b))))]]) ).

cnf(refute_0_18469,plain,
    ( bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(c,bigC(a,b,product(c,b))) != product(c,bigC(a,b,product(c,b)))
    | product(c,bigC(a,b,product(c,b))) = product(c,product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,b,product(c,b))),product(c,bigC(a,b,product(c,b)))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_18470,plain,
    ( bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(c,bigC(a,b,product(c,b))) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(c,b))),product(c,bigC(a,b,product(c,b)))) )],[refute_0_18468,refute_0_18469]) ).

cnf(refute_0_18471,plain,
    product(c,bigC(a,b,product(c,b))) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),product(c,bigC(a,b,b))) )],[refute_0_15118,refute_0_18470]) ).

cnf(refute_0_18472,plain,
    product(c,product(product(b,B),product(a,b))) = bigC(c,product(a,c),product(b,B)),
    inference(subst,[],[refute_0_1344:[bind(C,$fot(product(b,B)))]]) ).

cnf(refute_0_18473,plain,
    bigC(b,B,a) = product(product(b,B),product(a,b)),
    inference(subst,[],[sos08:[bind(A,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_18474,plain,
    ( bigC(b,B,a) != product(product(b,B),product(a,b))
    | product(product(b,B),product(a,b)) = bigC(b,B,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,B,a))),bind(Y,$fot(product(product(b,B),product(a,b))))]]) ).

cnf(refute_0_18475,plain,
    product(product(b,B),product(a,b)) = bigC(b,B,a),
    inference(resolve,[$cnf( $equal(bigC(b,B,a),product(product(b,B),product(a,b))) )],[refute_0_18473,refute_0_18474]) ).

cnf(refute_0_18476,plain,
    ( product(c,product(product(b,B),product(a,b))) != bigC(c,product(a,c),product(b,B))
    | product(product(b,B),product(a,b)) != bigC(b,B,a)
    | product(c,bigC(b,B,a)) = bigC(c,product(a,c),product(b,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(b,B),product(a,b))),bigC(c,product(a,c),product(b,B))) ),[0,1],$fot(bigC(b,B,a))]]) ).

cnf(refute_0_18477,plain,
    ( product(c,product(product(b,B),product(a,b))) != bigC(c,product(a,c),product(b,B))
    | product(c,bigC(b,B,a)) = bigC(c,product(a,c),product(b,B)) ),
    inference(resolve,[$cnf( $equal(product(product(b,B),product(a,b)),bigC(b,B,a)) )],[refute_0_18475,refute_0_18476]) ).

cnf(refute_0_18478,plain,
    product(c,bigC(b,B,a)) = bigC(c,product(a,c),product(b,B)),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,B),product(a,b))),bigC(c,product(a,c),product(b,B))) )],[refute_0_18472,refute_0_18477]) ).

cnf(refute_0_18479,plain,
    bigC(b,B,a) = bigC(b,a,B),
    inference(subst,[],[refute_0_12:[bind(A,$fot(b)),bind(C,$fot(a))]]) ).

cnf(refute_0_18480,plain,
    bigC(b,a,B) = bigC(a,B,b),
    inference(subst,[],[refute_0_15111:[bind(X_23,$fot(B))]]) ).

cnf(refute_0_18481,plain,
    ( bigC(b,B,a) != bigC(b,a,B)
    | bigC(b,a,B) != bigC(a,B,b)
    | bigC(b,B,a) = bigC(a,B,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,B,a),bigC(a,B,b)) ),[0],$fot(bigC(b,a,B))]]) ).

cnf(refute_0_18482,plain,
    ( bigC(b,B,a) != bigC(b,a,B)
    | bigC(b,B,a) = bigC(a,B,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,B),bigC(a,B,b)) )],[refute_0_18480,refute_0_18481]) ).

cnf(refute_0_18483,plain,
    bigC(b,B,a) = bigC(a,B,b),
    inference(resolve,[$cnf( $equal(bigC(b,B,a),bigC(b,a,B)) )],[refute_0_18479,refute_0_18482]) ).

cnf(refute_0_18484,plain,
    product(c,bigC(b,B,a)) = product(c,bigC(b,B,a)),
    introduced(tautology,[refl,[$fot(product(c,bigC(b,B,a)))]]) ).

cnf(refute_0_18485,plain,
    ( bigC(b,B,a) != bigC(a,B,b)
    | product(c,bigC(b,B,a)) != product(c,bigC(b,B,a))
    | product(c,bigC(b,B,a)) = product(c,bigC(a,B,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(b,B,a)),product(c,bigC(b,B,a))) ),[1,1],$fot(bigC(a,B,b))]]) ).

cnf(refute_0_18486,plain,
    ( bigC(b,B,a) != bigC(a,B,b)
    | product(c,bigC(b,B,a)) = product(c,bigC(a,B,b)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,B,a)),product(c,bigC(b,B,a))) )],[refute_0_18484,refute_0_18485]) ).

cnf(refute_0_18487,plain,
    product(c,bigC(b,B,a)) = product(c,bigC(a,B,b)),
    inference(resolve,[$cnf( $equal(bigC(b,B,a),bigC(a,B,b)) )],[refute_0_18483,refute_0_18486]) ).

cnf(refute_0_18488,plain,
    ( product(c,bigC(b,B,a)) != bigC(c,product(a,c),product(b,B))
    | product(c,bigC(b,B,a)) != product(c,bigC(a,B,b))
    | product(c,bigC(a,B,b)) = bigC(c,product(a,c),product(b,B)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(b,B,a)),bigC(c,product(a,c),product(b,B))) ),[0],$fot(product(c,bigC(a,B,b)))]]) ).

cnf(refute_0_18489,plain,
    ( product(c,bigC(b,B,a)) != bigC(c,product(a,c),product(b,B))
    | product(c,bigC(a,B,b)) = bigC(c,product(a,c),product(b,B)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,B,a)),product(c,bigC(a,B,b))) )],[refute_0_18487,refute_0_18488]) ).

cnf(refute_0_18490,plain,
    product(c,bigC(a,B,b)) = bigC(c,product(a,c),product(b,B)),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,B,a)),bigC(c,product(a,c),product(b,B))) )],[refute_0_18478,refute_0_18489]) ).

cnf(refute_0_18491,plain,
    product(c,bigC(a,product(X_23,b),b)) = bigC(c,product(a,c),product(b,product(X_23,b))),
    inference(subst,[],[refute_0_18490:[bind(B,$fot(product(X_23,b)))]]) ).

cnf(refute_0_18492,plain,
    bigC(b,b,X_23) = product(b,product(X_23,b)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_18493,plain,
    ( bigC(b,b,X_23) != product(b,product(X_23,b))
    | product(b,product(X_23,b)) = bigC(b,b,X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,X_23))),bind(Y,$fot(product(b,product(X_23,b))))]]) ).

cnf(refute_0_18494,plain,
    product(b,product(X_23,b)) = bigC(b,b,X_23),
    inference(resolve,[$cnf( $equal(bigC(b,b,X_23),product(b,product(X_23,b))) )],[refute_0_18492,refute_0_18493]) ).

cnf(refute_0_18495,plain,
    ( product(b,product(X_23,b)) != bigC(b,b,X_23)
    | product(c,bigC(a,product(X_23,b),b)) != bigC(c,product(a,c),product(b,product(X_23,b)))
    | product(c,bigC(a,product(X_23,b),b)) = bigC(c,product(a,c),bigC(b,b,X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,product(X_23,b),b)),bigC(c,product(a,c),product(b,product(X_23,b)))) ),[1,2],$fot(bigC(b,b,X_23))]]) ).

cnf(refute_0_18496,plain,
    ( product(c,bigC(a,product(X_23,b),b)) != bigC(c,product(a,c),product(b,product(X_23,b)))
    | product(c,bigC(a,product(X_23,b),b)) = bigC(c,product(a,c),bigC(b,b,X_23)) ),
    inference(resolve,[$cnf( $equal(product(b,product(X_23,b)),bigC(b,b,X_23)) )],[refute_0_18494,refute_0_18495]) ).

cnf(refute_0_18497,plain,
    product(c,bigC(a,product(X_23,b),b)) = bigC(c,product(a,c),bigC(b,b,X_23)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,product(X_23,b),b)),bigC(c,product(a,c),product(b,product(X_23,b)))) )],[refute_0_18491,refute_0_18496]) ).

cnf(refute_0_18498,plain,
    product(c,bigC(a,X_103,b)) = bigC(c,product(a,c),product(b,X_103)),
    inference(subst,[],[refute_0_18490:[bind(B,$fot(X_103))]]) ).

cnf(refute_0_18499,plain,
    bigC(a,b,X_103) = bigC(a,X_103,b),
    inference(subst,[],[refute_0_12:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(X_103))]]) ).

cnf(refute_0_18500,plain,
    ( bigC(a,b,X_103) != bigC(a,X_103,b)
    | bigC(a,X_103,b) = bigC(a,b,X_103) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,X_103))),bind(Y,$fot(bigC(a,X_103,b)))]]) ).

cnf(refute_0_18501,plain,
    bigC(a,X_103,b) = bigC(a,b,X_103),
    inference(resolve,[$cnf( $equal(bigC(a,b,X_103),bigC(a,X_103,b)) )],[refute_0_18499,refute_0_18500]) ).

cnf(refute_0_18502,plain,
    ( bigC(a,X_103,b) != bigC(a,b,X_103)
    | product(c,bigC(a,X_103,b)) != bigC(c,product(a,c),product(b,X_103))
    | product(c,bigC(a,b,X_103)) = bigC(c,product(a,c),product(b,X_103)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,X_103,b)),bigC(c,product(a,c),product(b,X_103))) ),[0,1],$fot(bigC(a,b,X_103))]]) ).

cnf(refute_0_18503,plain,
    ( product(c,bigC(a,X_103,b)) != bigC(c,product(a,c),product(b,X_103))
    | product(c,bigC(a,b,X_103)) = bigC(c,product(a,c),product(b,X_103)) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_103,b),bigC(a,b,X_103)) )],[refute_0_18501,refute_0_18502]) ).

cnf(refute_0_18504,plain,
    product(c,bigC(a,b,X_103)) = bigC(c,product(a,c),product(b,X_103)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,X_103,b)),bigC(c,product(a,c),product(b,X_103))) )],[refute_0_18498,refute_0_18503]) ).

cnf(refute_0_18505,plain,
    ( product(c,bigC(a,B,b)) != bigC(c,product(a,c),product(b,B))
    | bigC(c,product(a,c),product(b,B)) = product(c,bigC(a,B,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,B,b)))),bind(Y,$fot(bigC(c,product(a,c),product(b,B))))]]) ).

cnf(refute_0_18506,plain,
    bigC(c,product(a,c),product(b,B)) = product(c,bigC(a,B,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,B,b)),bigC(c,product(a,c),product(b,B))) )],[refute_0_18490,refute_0_18505]) ).

cnf(refute_0_18507,plain,
    bigC(c,product(a,c),product(b,X_103)) = product(c,bigC(a,X_103,b)),
    inference(subst,[],[refute_0_18506:[bind(B,$fot(X_103))]]) ).

cnf(refute_0_18508,plain,
    ( bigC(c,product(a,c),product(b,X_103)) != product(c,bigC(a,X_103,b))
    | product(c,bigC(a,b,X_103)) != bigC(c,product(a,c),product(b,X_103))
    | product(c,bigC(a,b,X_103)) = product(c,bigC(a,X_103,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,b,X_103)),bigC(c,product(a,c),product(b,X_103))) ),[1],$fot(product(c,bigC(a,X_103,b)))]]) ).

cnf(refute_0_18509,plain,
    ( product(c,bigC(a,b,X_103)) != bigC(c,product(a,c),product(b,X_103))
    | product(c,bigC(a,b,X_103)) = product(c,bigC(a,X_103,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(b,X_103)),product(c,bigC(a,X_103,b))) )],[refute_0_18507,refute_0_18508]) ).

cnf(refute_0_18510,plain,
    product(c,bigC(a,b,X_103)) = product(c,bigC(a,X_103,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,X_103)),bigC(c,product(a,c),product(b,X_103))) )],[refute_0_18504,refute_0_18509]) ).

cnf(refute_0_18511,plain,
    ( product(c,bigC(a,b,X_103)) != product(c,bigC(a,X_103,b))
    | product(c,bigC(a,X_103,b)) = product(c,bigC(a,b,X_103)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,b,X_103)))),bind(Y,$fot(product(c,bigC(a,X_103,b))))]]) ).

cnf(refute_0_18512,plain,
    product(c,bigC(a,X_103,b)) = product(c,bigC(a,b,X_103)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,X_103)),product(c,bigC(a,X_103,b))) )],[refute_0_18510,refute_0_18511]) ).

cnf(refute_0_18513,plain,
    product(c,bigC(a,product(X_23,b),b)) = product(c,bigC(a,b,product(X_23,b))),
    inference(subst,[],[refute_0_18512:[bind(X_103,$fot(product(X_23,b)))]]) ).

cnf(refute_0_18514,plain,
    ( product(c,bigC(a,product(X_23,b),b)) != bigC(c,product(a,c),bigC(b,b,X_23))
    | product(c,bigC(a,product(X_23,b),b)) != product(c,bigC(a,b,product(X_23,b)))
    | product(c,bigC(a,b,product(X_23,b))) = bigC(c,product(a,c),bigC(b,b,X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,product(X_23,b),b)),bigC(c,product(a,c),bigC(b,b,X_23))) ),[0],$fot(product(c,bigC(a,b,product(X_23,b))))]]) ).

cnf(refute_0_18515,plain,
    ( product(c,bigC(a,product(X_23,b),b)) != bigC(c,product(a,c),bigC(b,b,X_23))
    | product(c,bigC(a,b,product(X_23,b))) = bigC(c,product(a,c),bigC(b,b,X_23)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,product(X_23,b),b)),product(c,bigC(a,b,product(X_23,b)))) )],[refute_0_18513,refute_0_18514]) ).

cnf(refute_0_18516,plain,
    product(c,bigC(a,b,product(X_23,b))) = bigC(c,product(a,c),bigC(b,b,X_23)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,product(X_23,b),b)),bigC(c,product(a,c),bigC(b,b,X_23))) )],[refute_0_18497,refute_0_18515]) ).

cnf(refute_0_18517,plain,
    ( product(c,bigC(a,b,product(X_23,b))) != bigC(c,product(a,c),bigC(b,b,X_23))
    | bigC(c,product(a,c),bigC(b,b,X_23)) = product(c,bigC(a,b,product(X_23,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,b,product(X_23,b))))),bind(Y,$fot(bigC(c,product(a,c),bigC(b,b,X_23))))]]) ).

cnf(refute_0_18518,plain,
    bigC(c,product(a,c),bigC(b,b,X_23)) = product(c,bigC(a,b,product(X_23,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(X_23,b))),bigC(c,product(a,c),bigC(b,b,X_23))) )],[refute_0_18516,refute_0_18517]) ).

cnf(refute_0_18519,plain,
    bigC(c,product(a,c),bigC(b,b,c)) = product(c,bigC(a,b,product(c,b))),
    inference(subst,[],[refute_0_18518:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_18520,plain,
    ( bigC(c,product(a,c),bigC(b,b,c)) != product(c,bigC(a,b,product(c,b)))
    | product(c,bigC(a,b,product(c,b))) != product(c,product(c,bigC(a,b,b)))
    | bigC(c,product(a,c),bigC(b,b,c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,c),bigC(b,b,c)))),bind(Y,$fot(product(c,bigC(a,b,product(c,b))))),bind(Z,$fot(product(c,product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_18521,plain,
    ( product(c,bigC(a,b,product(c,b))) != product(c,product(c,bigC(a,b,b)))
    | bigC(c,product(a,c),bigC(b,b,c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,b,c)),product(c,bigC(a,b,product(c,b)))) )],[refute_0_18519,refute_0_18520]) ).

cnf(refute_0_18522,plain,
    bigC(c,product(a,c),bigC(b,b,c)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,product(c,b))),product(c,product(c,bigC(a,b,b)))) )],[refute_0_18471,refute_0_18521]) ).

cnf(refute_0_18523,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(c,product(a,c),bigC(b,b,c)) != product(c,product(c,bigC(a,b,b)))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(c,product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,product(c,b),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) ),[0],$fot(bigC(c,product(a,c),bigC(b,b,c)))]]) ).

cnf(refute_0_18524,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != bigC(c,product(a,c),bigC(b,b,c))
    | bigC(a,product(c,b),bigC(b,b,c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_18522,refute_0_18523]) ).

cnf(refute_0_18525,plain,
    bigC(a,product(c,b),bigC(b,b,c)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(c,product(a,c),bigC(b,b,c))) )],[refute_0_18467,refute_0_18524]) ).

cnf(refute_0_18526,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != bigC(product(a,c),b,bigC(a,a,b))
    | bigC(a,product(c,b),bigC(b,b,c)) != product(c,product(c,bigC(a,b,b)))
    | product(c,product(c,bigC(a,b,b))) = bigC(product(a,c),b,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(product(a,c),b,bigC(a,a,b))) ),[0],$fot(product(c,product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_18527,plain,
    ( bigC(a,product(c,b),bigC(b,b,c)) != bigC(product(a,c),b,bigC(a,a,b))
    | product(c,product(c,bigC(a,b,b))) = bigC(product(a,c),b,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_18525,refute_0_18526]) ).

cnf(refute_0_18528,plain,
    product(c,product(c,bigC(a,b,b))) = bigC(product(a,c),b,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,b),bigC(b,b,c)),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18390,refute_0_18527]) ).

cnf(refute_0_18529,plain,
    ( product(c,product(c,bigC(a,b,b))) != bigC(product(a,c),b,bigC(a,a,b))
    | bigC(product(a,c),b,bigC(a,a,b)) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,bigC(a,b,b))))),bind(Y,$fot(bigC(product(a,c),b,bigC(a,a,b))))]]) ).

cnf(refute_0_18530,plain,
    bigC(product(a,c),b,bigC(a,a,b)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(a,b,b))),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18528,refute_0_18529]) ).

cnf(refute_0_18531,plain,
    ( bigC(product(a,c),b,bigC(a,a,b)) != product(c,product(c,bigC(a,b,b)))
    | bigC(product(a,c),bigC(a,a,b),b) != bigC(product(a,c),b,bigC(a,a,b))
    | bigC(product(a,c),bigC(a,a,b),b) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),bigC(a,a,b),b))),bind(Y,$fot(bigC(product(a,c),b,bigC(a,a,b)))),bind(Z,$fot(product(c,product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_18532,plain,
    ( bigC(product(a,c),b,bigC(a,a,b)) != product(c,product(c,bigC(a,b,b)))
    | bigC(product(a,c),bigC(a,a,b),b) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),b),bigC(product(a,c),b,bigC(a,a,b))) )],[refute_0_18366,refute_0_18531]) ).

cnf(refute_0_18533,plain,
    bigC(product(a,c),bigC(a,a,b),b) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,bigC(a,a,b)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_18530,refute_0_18532]) ).

cnf(refute_0_18534,plain,
    ( bigC(product(a,c),bigC(a,a,b),b) != product(c,product(c,bigC(a,b,b)))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != bigC(product(a,c),bigC(a,a,b),b)
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),b),bigC(a,a,b)))),bind(Y,$fot(bigC(product(a,c),bigC(a,a,b),b))),bind(Z,$fot(product(c,product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_18535,plain,
    ( bigC(product(a,c),bigC(a,a,b),b) != product(c,product(c,bigC(a,b,b)))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),bigC(product(a,c),bigC(a,a,b),b)) )],[refute_0_18384,refute_0_18534]) ).

cnf(refute_0_18536,plain,
    product(product(bigC(a,a,c),b),bigC(a,a,b)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),bigC(a,a,b),b),product(c,product(c,bigC(a,b,b)))) )],[refute_0_18533,refute_0_18535]) ).

cnf(refute_0_18537,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(product(bigC(a,a,c),b),bigC(a,a,b)) != product(c,product(c,bigC(a,b,b)))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[1,1],$fot(product(c,product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_18538,plain,
    ( product(product(bigC(a,a,c),b),bigC(a,a,b)) != product(c,product(c,bigC(a,b,b)))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_18399,refute_0_18537]) ).

cnf(refute_0_18539,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),bigC(a,a,b)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_18536,refute_0_18538]) ).

cnf(refute_0_18540,plain,
    ( difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))) != product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b))))
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))))),bind(Y,$fot(difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))))),bind(Z,$fot(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)))]]) ).

cnf(refute_0_18541,plain,
    ( difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))) != product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)
    | difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b))))) )],[refute_0_18539,refute_0_18540]) ).

cnf(refute_0_18542,plain,
    difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,product(c,bigC(a,b,b)))),product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)) )],[refute_0_18456,refute_0_18541]) ).

cnf(refute_0_18543,plain,
    ( difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))) != product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)
    | product(bigC(b,b,c),c) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(bigC(b,b,c),c) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,c),c),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) ),[1],$fot(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c))]]) ).

cnf(refute_0_18544,plain,
    ( product(bigC(b,b,c),c) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(bigC(b,b,c),c) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b))),product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)) )],[refute_0_18542,refute_0_18543]) ).

cnf(refute_0_18545,plain,
    ( quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)) != difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))
    | product(bigC(b,b,c),c) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_18441,refute_0_18544]) ).

cnf(refute_0_18546,plain,
    product(bigC(b,b,c),c) = product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,a,b),product(a,bigC(b,b,product(c,a)))),bigC(a,a,b)),difference(bigC(a,a,b),product(product(bigC(a,a,c),b),bigC(a,a,b)))) )],[refute_0_17321,refute_0_18545]) ).

cnf(refute_0_18547,plain,
    ( product(bigC(b,b,c),c) != product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)
    | product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) = product(bigC(b,b,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,b,c),c))),bind(Y,$fot(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)))]]) ).

cnf(refute_0_18548,plain,
    product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),c),product(quotient(product(c,bigC(a,b,b)),product(a,b)),c)) )],[refute_0_18546,refute_0_18547]) ).

cnf(refute_0_18549,plain,
    ( product(quotient(product(c,bigC(a,b,b)),product(a,b)),c) != product(bigC(b,b,c),c)
    | quotient(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),c) != quotient(product(c,bigC(a,b,b)),product(a,b))
    | quotient(product(bigC(b,b,c),c),c) = quotient(product(c,bigC(a,b,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),c),quotient(product(c,bigC(a,b,b)),product(a,b))) ),[0,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18550,plain,
    ( quotient(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),c) != quotient(product(c,bigC(a,b,b)),product(a,b))
    | quotient(product(bigC(b,b,c),c),c) = quotient(product(c,bigC(a,b,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),product(bigC(b,b,c),c)) )],[refute_0_18548,refute_0_18549]) ).

cnf(refute_0_18551,plain,
    quotient(product(bigC(b,b,c),c),c) = quotient(product(c,bigC(a,b,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(product(c,bigC(a,b,b)),product(a,b)),c),c),quotient(product(c,bigC(a,b,b)),product(a,b))) )],[refute_0_16951,refute_0_18550]) ).

cnf(refute_0_18552,plain,
    quotient(product(bigC(b,b,c),c),c) = bigC(b,b,c),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(c))]]) ).

cnf(refute_0_18553,plain,
    ( quotient(product(bigC(b,b,c),c),c) != bigC(b,b,c)
    | quotient(product(bigC(b,b,c),c),c) != quotient(product(c,bigC(a,b,b)),product(a,b))
    | bigC(b,b,c) = quotient(product(c,bigC(a,b,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,b,c),c),c),quotient(product(c,bigC(a,b,b)),product(a,b))) ),[0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18554,plain,
    ( quotient(product(bigC(b,b,c),c),c) != quotient(product(c,bigC(a,b,b)),product(a,b))
    | bigC(b,b,c) = quotient(product(c,bigC(a,b,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),c),c),bigC(b,b,c)) )],[refute_0_18552,refute_0_18553]) ).

cnf(refute_0_18555,plain,
    bigC(b,b,c) = quotient(product(c,bigC(a,b,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,b,c),c),c),quotient(product(c,bigC(a,b,b)),product(a,b))) )],[refute_0_18551,refute_0_18554]) ).

cnf(refute_0_18556,plain,
    ( bigC(b,b,c) != quotient(product(c,bigC(a,b,b)),product(a,b))
    | quotient(product(c,bigC(a,b,b)),product(a,b)) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,c))),bind(Y,$fot(quotient(product(c,bigC(a,b,b)),product(a,b))))]]) ).

cnf(refute_0_18557,plain,
    quotient(product(c,bigC(a,b,b)),product(a,b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(bigC(b,b,c),quotient(product(c,bigC(a,b,b)),product(a,b))) )],[refute_0_18555,refute_0_18556]) ).

cnf(refute_0_18558,plain,
    ( bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,quotient(product(c,bigC(a,b,b)),product(a,b))))
    | quotient(product(c,bigC(a,b,b)),product(a,b)) != bigC(b,b,c)
    | bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),product(product(c,bigC(a,b,b)),product(X_23,quotient(product(c,bigC(a,b,b)),product(a,b))))) ),[1,1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18559,plain,
    ( bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,quotient(product(c,bigC(a,b,b)),product(a,b))))
    | bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,b)),product(a,b)),bigC(b,b,c)) )],[refute_0_18557,refute_0_18558]) ).

cnf(refute_0_18560,plain,
    bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),product(product(c,bigC(a,b,b)),product(X_23,quotient(product(c,bigC(a,b,b)),product(a,b))))) )],[refute_0_16950,refute_0_18559]) ).

cnf(refute_0_18561,plain,
    bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23))]]) ).

cnf(refute_0_18562,plain,
    ( bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23)
    | quotient(product(c,bigC(a,b,b)),product(a,b)) != bigC(b,b,c)
    | bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = bigC(bigC(b,b,c),product(a,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23)) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18563,plain,
    ( quotient(product(c,bigC(a,b,b)),product(a,b)) != bigC(b,b,c)
    | bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = bigC(bigC(b,b,c),product(a,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23)) )],[refute_0_18561,refute_0_18562]) ).

cnf(refute_0_18564,plain,
    bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) = bigC(bigC(b,b,c),product(a,b),X_23),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,b)),product(a,b)),bigC(b,b,c)) )],[refute_0_18557,refute_0_18563]) ).

cnf(refute_0_18565,plain,
    ( bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != bigC(bigC(b,b,c),product(a,b),X_23)
    | bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))
    | bigC(bigC(b,b,c),product(a,b),X_23) = product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))) ),[0],$fot(bigC(bigC(b,b,c),product(a,b),X_23))]]) ).

cnf(refute_0_18566,plain,
    ( bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))
    | bigC(bigC(b,b,c),product(a,b),X_23) = product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),bigC(bigC(b,b,c),product(a,b),X_23)) )],[refute_0_18564,refute_0_18565]) ).

cnf(refute_0_18567,plain,
    product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))) = product(product(A,C),product(bigC(a,b,b),bigC(b,b,c))),
    inference(subst,[],[sos05:[bind(B,$fot(bigC(a,b,b))),bind(D,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_18568,plain,
    difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(quotient(product(b,c),bigC(a,b,b)))),bind(X_16,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_18569,plain,
    product(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c))) = bigC(b,b,c),
    inference(subst,[],[sos02:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_18570,plain,
    quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(bigC(a,b,b))),bind(X_29,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18571,plain,
    ( product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) ),[0,0,1],$fot(product(c,b))]]) ).

cnf(refute_0_18572,plain,
    ( quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(c,b),b)),product(c,b)) )],[refute_0_9479,refute_0_18571]) ).

cnf(refute_0_18573,plain,
    quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_18570,refute_0_18572]) ).

cnf(refute_0_18574,plain,
    quotient(bigC(b,a,b),product(c,b)) = quotient(bigC(b,a,b),product(c,b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,a,b),product(c,b)))]]) ).

cnf(refute_0_18575,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),product(c,b)) != quotient(bigC(b,a,b),product(c,b))
    | quotient(bigC(b,a,b),product(c,b)) = quotient(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),quotient(bigC(b,a,b),product(c,b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_18576,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),product(c,b)) = quotient(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),quotient(bigC(b,a,b),product(c,b))) )],[refute_0_18574,refute_0_18575]) ).

cnf(refute_0_18577,plain,
    quotient(bigC(b,a,b),product(c,b)) = quotient(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_18576]) ).

cnf(refute_0_18578,plain,
    ( quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | quotient(bigC(b,a,b),product(c,b)) != quotient(bigC(a,b,b),product(c,b))
    | quotient(bigC(a,b,b),product(c,b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) ),[0],$fot(quotient(bigC(a,b,b),product(c,b)))]]) ).

cnf(refute_0_18579,plain,
    ( quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | quotient(bigC(a,b,b),product(c,b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),quotient(bigC(a,b,b),product(c,b))) )],[refute_0_18577,refute_0_18578]) ).

cnf(refute_0_18580,plain,
    quotient(bigC(a,b,b),product(c,b)) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) )],[refute_0_8287,refute_0_18579]) ).

cnf(refute_0_18581,plain,
    quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_18582,plain,
    ( quotient(bigC(a,b,b),product(c,b)) != product(b,c)
    | quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b))
    | quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = quotient(product(b,c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)),quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_18583,plain,
    ( quotient(bigC(a,b,b),product(c,b)) != product(b,c)
    | quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = quotient(product(b,c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)),quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b))) )],[refute_0_18581,refute_0_18582]) ).

cnf(refute_0_18584,plain,
    quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) = quotient(product(b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),product(c,b)),product(b,c)) )],[refute_0_18580,refute_0_18583]) ).

cnf(refute_0_18585,plain,
    ( quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != quotient(product(b,c),bigC(a,b,b))
    | quotient(product(b,c),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) ),[0],$fot(quotient(product(b,c),bigC(a,b,b)))]]) ).

cnf(refute_0_18586,plain,
    ( quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(product(b,c),bigC(a,b,b)) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)),quotient(product(b,c),bigC(a,b,b))) )],[refute_0_18584,refute_0_18585]) ).

cnf(refute_0_18587,plain,
    difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) = difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))))]]) ).

cnf(refute_0_18588,plain,
    ( difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | product(product(product(c,b),b),bigC(a,b,b)) != bigC(b,b,c)
    | difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) = difference(bigC(a,b,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18589,plain,
    ( product(product(product(c,b),b),bigC(a,b,b)) != bigC(b,b,c)
    | difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) = difference(bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_18587,refute_0_18588]) ).

cnf(refute_0_18590,plain,
    difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) = difference(bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),bigC(a,b,b)),bigC(b,b,c)) )],[refute_0_10220,refute_0_18589]) ).

cnf(refute_0_18591,plain,
    ( difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))) != difference(bigC(a,b,b),bigC(b,b,c))
    | quotient(product(b,c),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(product(b,c),bigC(a,b,b)) = difference(bigC(a,b,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) ),[1],$fot(difference(bigC(a,b,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18592,plain,
    ( quotient(product(b,c),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(product(b,c),bigC(a,b,b)) = difference(bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b))),difference(bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18590,refute_0_18591]) ).

cnf(refute_0_18593,plain,
    ( quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)) != difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))
    | quotient(product(b,c),bigC(a,b,b)) = difference(bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_18586,refute_0_18592]) ).

cnf(refute_0_18594,plain,
    quotient(product(b,c),bigC(a,b,b)) = difference(bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(bigC(a,b,b),product(c,b)),bigC(a,b,b)),difference(bigC(a,b,b),product(product(product(c,b),b),bigC(a,b,b)))) )],[refute_0_18573,refute_0_18593]) ).

cnf(refute_0_18595,plain,
    ( quotient(product(b,c),bigC(a,b,b)) != difference(bigC(a,b,b),bigC(b,b,c))
    | difference(bigC(a,b,b),bigC(b,b,c)) = quotient(product(b,c),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(b,c),bigC(a,b,b)))),bind(Y,$fot(difference(bigC(a,b,b),bigC(b,b,c))))]]) ).

cnf(refute_0_18596,plain,
    difference(bigC(a,b,b),bigC(b,b,c)) = quotient(product(b,c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(a,b,b)),difference(bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18594,refute_0_18595]) ).

cnf(refute_0_18597,plain,
    ( difference(bigC(a,b,b),bigC(b,b,c)) != quotient(product(b,c),bigC(a,b,b))
    | product(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c))) != bigC(b,b,c)
    | product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c))),bigC(b,b,c)) ),[0,1],$fot(quotient(product(b,c),bigC(a,b,b)))]]) ).

cnf(refute_0_18598,plain,
    ( product(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c))) != bigC(b,b,c)
    | product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),bigC(b,b,c)),quotient(product(b,c),bigC(a,b,b))) )],[refute_0_18596,refute_0_18597]) ).

cnf(refute_0_18599,plain,
    product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c))),bigC(b,b,c)) )],[refute_0_18569,refute_0_18598]) ).

cnf(refute_0_18600,plain,
    ( difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))))
    | product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))) != bigC(b,b,c)
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18601,plain,
    ( difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))),bigC(b,b,c)) )],[refute_0_18599,refute_0_18600]) ).

cnf(refute_0_18602,plain,
    difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))))) )],[refute_0_18568,refute_0_18601]) ).

cnf(refute_0_18603,plain,
    difference(product(bigC(b,b,c),c),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) = bigC(b,c,product(c,b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(bigC(b,b,c),c))),bind(B,$fot(bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_18604,plain,
    bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) = product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))),
    inference(subst,[],[sos08:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(bigC(a,a,b))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_18605,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != bigC(b,product(c,a),product(c,b))
    | bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))
    | bigC(b,product(c,a),product(c,b)) = product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))) ),[0],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_18606,plain,
    ( bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)) != product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))
    | bigC(b,product(c,a),product(c,b)) = product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3341,refute_0_18605]) ).

cnf(refute_0_18607,plain,
    bigC(b,product(c,a),product(c,b)) = product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(a,a,b),bigC(b,b,c)),product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))) )],[refute_0_18604,refute_0_18606]) ).

cnf(refute_0_18608,plain,
    product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,C),product(bigC(c,b,b),product(c,b))),
    inference(subst,[],[sos05:[bind(B,$fot(bigC(c,b,b))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_18609,plain,
    ( product(bigC(c,b,b),product(c,b)) != bigC(c,b,product(c,b))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,C),product(bigC(c,b,b),product(c,b)))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,C),product(bigC(c,b,b),product(c,b)))) ),[1,1],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_18610,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,C),product(bigC(c,b,b),product(c,b)))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_10426,refute_0_18609]) ).

cnf(refute_0_18611,plain,
    product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,C),product(bigC(c,b,b),product(c,b)))) )],[refute_0_18608,refute_0_18610]) ).

cnf(refute_0_18612,plain,
    product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,bigC(c,b,b)),product(C,product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(A,bigC(c,b,b)),product(C,product(c,b))))]]) ).

cnf(refute_0_18613,plain,
    ( product(A,bigC(c,b,b)) != product(A,bigC(b,b,c))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,bigC(c,b,b)),product(C,product(c,b)))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,bigC(b,b,c)),product(C,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,bigC(c,b,b)),product(C,product(c,b)))) ),[1,0],$fot(product(A,bigC(b,b,c)))]]) ).

cnf(refute_0_18614,plain,
    ( product(A,bigC(c,b,b)) != product(A,bigC(b,b,c))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,bigC(b,b,c)),product(C,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,bigC(c,b,b)),product(C,product(c,b)))) )],[refute_0_18612,refute_0_18613]) ).

cnf(refute_0_18615,plain,
    product(product(A,bigC(c,b,b)),product(C,product(c,b))) = product(product(A,bigC(b,b,c)),product(C,product(c,b))),
    inference(resolve,[$cnf( $equal(product(A,bigC(c,b,b)),product(A,bigC(b,b,c))) )],[refute_0_10918,refute_0_18614]) ).

cnf(refute_0_18616,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,bigC(b,b,c)),product(C,product(c,b)))
    | product(product(A,bigC(b,b,c)),product(C,product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) ),[0],$fot(product(product(A,bigC(b,b,c)),product(C,product(c,b))))]]) ).

cnf(refute_0_18617,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,bigC(b,b,c)),product(C,product(c,b))) = product(product(A,C),bigC(c,b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,bigC(b,b,c)),product(C,product(c,b)))) )],[refute_0_18615,refute_0_18616]) ).

cnf(refute_0_18618,plain,
    ( product(product(A,C),bigC(c,b,product(c,b))) != product(product(A,C),bigC(b,c,product(c,b)))
    | product(product(A,bigC(b,b,c)),product(C,product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,bigC(b,b,c)),product(C,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) ),[1],$fot(product(product(A,C),bigC(b,c,product(c,b))))]]) ).

cnf(refute_0_18619,plain,
    ( product(product(A,bigC(b,b,c)),product(C,product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,bigC(b,b,c)),product(C,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),bigC(c,b,product(c,b))),product(product(A,C),bigC(b,c,product(c,b)))) )],[refute_0_16877,refute_0_18618]) ).

cnf(refute_0_18620,plain,
    ( product(product(A,bigC(c,b,b)),product(C,product(c,b))) != product(product(A,C),bigC(c,b,product(c,b)))
    | product(product(A,bigC(b,b,c)),product(C,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(b,b,c)),product(C,product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) )],[refute_0_18617,refute_0_18619]) ).

cnf(refute_0_18621,plain,
    product(product(A,bigC(b,b,c)),product(C,product(c,b))) = product(product(A,C),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(c,b,b)),product(C,product(c,b))),product(product(A,C),bigC(c,b,product(c,b)))) )],[refute_0_18611,refute_0_18620]) ).

cnf(refute_0_18622,plain,
    product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b))) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))),
    inference(subst,[],[refute_0_18621:[bind(A,$fot(bigC(b,b,c))),bind(C,$fot(c))]]) ).

cnf(refute_0_18623,plain,
    product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) = product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b))),
    inference(subst,[],[refute_0_4769:[bind(A,$fot(bigC(b,b,c))),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_18624,plain,
    ( product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) != product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b)))
    | product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b))) != product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))
    | product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))))),bind(Y,$fot(product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b))))),bind(Z,$fot(product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))))]]) ).

cnf(refute_0_18625,plain,
    ( product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b))) != product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))
    | product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))),product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b)))) )],[refute_0_18623,refute_0_18624]) ).

cnf(refute_0_18626,plain,
    product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(b,b,c)),product(c,product(c,b))),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) )],[refute_0_18622,refute_0_18625]) ).

cnf(refute_0_18627,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))
    | product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))) != product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))
    | bigC(b,product(c,a),product(c,b)) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,product(c,a),product(c,b)),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) ),[0],$fot(product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))))]]) ).

cnf(refute_0_18628,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))
    | bigC(b,product(c,a),product(c,b)) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c))),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) )],[refute_0_18626,refute_0_18627]) ).

cnf(refute_0_18629,plain,
    bigC(b,product(c,a),product(c,b)) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(product(bigC(b,b,c),bigC(a,a,b)),product(bigC(b,b,c),bigC(b,b,c)))) )],[refute_0_18607,refute_0_18628]) ).

cnf(refute_0_18630,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | bigC(b,product(c,a),product(c,b)) != product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))
    | bigC(b,a,b) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) ),[0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_18631,plain,
    ( bigC(b,product(c,a),product(c,b)) != product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))
    | bigC(b,a,b) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_18630]) ).

cnf(refute_0_18632,plain,
    bigC(b,a,b) = product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) )],[refute_0_18629,refute_0_18631]) ).

cnf(refute_0_18633,plain,
    ( bigC(b,a,b) != product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))
    | product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) = bigC(b,a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,a,b))),bind(Y,$fot(product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))))]]) ).

cnf(refute_0_18634,plain,
    product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) = bigC(b,a,b),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) )],[refute_0_18632,refute_0_18633]) ).

cnf(refute_0_18635,plain,
    ( difference(product(bigC(b,b,c),c),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) != bigC(b,c,product(c,b))
    | product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))) != bigC(b,a,b)
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) = bigC(b,c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),c),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))),bigC(b,c,product(c,b))) ),[0,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_18636,plain,
    ( difference(product(bigC(b,b,c),c),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))) != bigC(b,c,product(c,b))
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) = bigC(b,c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,b,c),c),bigC(b,c,product(c,b))),bigC(b,a,b)) )],[refute_0_18634,refute_0_18635]) ).

cnf(refute_0_18637,plain,
    difference(product(bigC(b,b,c),c),bigC(b,a,b)) = bigC(b,c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),product(product(bigC(b,b,c),c),bigC(b,c,product(c,b)))),bigC(b,c,product(c,b))) )],[refute_0_18603,refute_0_18636]) ).

cnf(refute_0_18638,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) != bigC(b,c,product(c,b))
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) = bigC(b,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),bigC(b,c,product(c,b))) ),[1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_18639,plain,
    ( difference(product(bigC(b,b,c),c),bigC(b,a,b)) != bigC(b,c,product(c,b))
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_16916,refute_0_18638]) ).

cnf(refute_0_18640,plain,
    difference(product(bigC(b,b,c),c),bigC(b,a,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),bigC(b,c,product(c,b))) )],[refute_0_18637,refute_0_18639]) ).

cnf(refute_0_18641,plain,
    difference(product(bigC(b,b,c),c),bigC(b,a,b)) = difference(product(bigC(b,b,c),c),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(b,b,c),c),bigC(b,a,b)))]]) ).

cnf(refute_0_18642,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) != difference(product(bigC(b,b,c),c),bigC(b,a,b))
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) = difference(product(bigC(b,b,c),c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),difference(product(bigC(b,b,c),c),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_18643,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) = difference(product(bigC(b,b,c),c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),difference(product(bigC(b,b,c),c),bigC(b,a,b))) )],[refute_0_18641,refute_0_18642]) ).

cnf(refute_0_18644,plain,
    difference(product(bigC(b,b,c),c),bigC(b,a,b)) = difference(product(bigC(b,b,c),c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_18643]) ).

cnf(refute_0_18645,plain,
    ( difference(product(bigC(b,b,c),c),bigC(b,a,b)) != bigC(b,b,product(a,c))
    | difference(product(bigC(b,b,c),c),bigC(b,a,b)) != difference(product(bigC(b,b,c),c),bigC(a,b,b))
    | difference(product(bigC(b,b,c),c),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),bigC(b,b,product(a,c))) ),[0],$fot(difference(product(bigC(b,b,c),c),bigC(a,b,b)))]]) ).

cnf(refute_0_18646,plain,
    ( difference(product(bigC(b,b,c),c),bigC(b,a,b)) != bigC(b,b,product(a,c))
    | difference(product(bigC(b,b,c),c),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),difference(product(bigC(b,b,c),c),bigC(a,b,b))) )],[refute_0_18644,refute_0_18645]) ).

cnf(refute_0_18647,plain,
    difference(product(bigC(b,b,c),c),bigC(a,b,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(b,a,b)),bigC(b,b,product(a,c))) )],[refute_0_18640,refute_0_18646]) ).

cnf(refute_0_18648,plain,
    difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_18649,plain,
    ( difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) != difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))
    | product(product(b,c),bigC(a,b,b)) != product(bigC(b,b,c),c)
    | difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = difference(product(bigC(b,b,c),c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))) ),[1,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_18650,plain,
    ( product(product(b,c),bigC(a,b,b)) != product(bigC(b,b,c),c)
    | difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = difference(product(bigC(b,b,c),c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))) )],[refute_0_18648,refute_0_18649]) ).

cnf(refute_0_18651,plain,
    difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = difference(product(bigC(b,b,c),c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(a,b,b)),product(bigC(b,b,c),c)) )],[refute_0_4483,refute_0_18650]) ).

cnf(refute_0_18652,plain,
    ( difference(product(bigC(b,b,c),c),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) != difference(product(bigC(b,b,c),c),bigC(a,b,b))
    | difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(difference(product(bigC(b,b,c),c),bigC(a,b,b)))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_18653,plain,
    ( difference(product(bigC(b,b,c),c),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),difference(product(bigC(b,b,c),c),bigC(a,b,b))) )],[refute_0_18651,refute_0_18652]) ).

cnf(refute_0_18654,plain,
    difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),bigC(a,b,b)),bigC(b,b,product(a,c))) )],[refute_0_18647,refute_0_18653]) ).

cnf(refute_0_18655,plain,
    product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)))) = difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(product(b,c))),bind(X_20,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_18656,plain,
    ( difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))))
    | product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)))) != difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)))))),bind(Z,$fot(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))))]]) ).

cnf(refute_0_18657,plain,
    ( product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)))) != difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b))))) )],[refute_0_18568,refute_0_18656]) ).

cnf(refute_0_18658,plain,
    difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)))),difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))) )],[refute_0_18655,refute_0_18657]) ).

cnf(refute_0_18659,plain,
    ( difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_18660,plain,
    ( difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b))) )],[refute_0_18658,refute_0_18659]) ).

cnf(refute_0_18661,plain,
    difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(b,b,product(a,c))) )],[refute_0_18654,refute_0_18660]) ).

cnf(refute_0_18662,plain,
    ( difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),bigC(b,b,c))
    | bigC(b,b,product(a,c)) = product(bigC(a,b,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),bigC(b,b,c))) ),[0],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_18663,plain,
    ( difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),bigC(b,b,c))
    | bigC(b,b,product(a,c)) = product(bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(b,b,product(a,c))) )],[refute_0_18661,refute_0_18662]) ).

cnf(refute_0_18664,plain,
    bigC(b,b,product(a,c)) = product(bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(product(b,c),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18602,refute_0_18663]) ).

cnf(refute_0_18665,plain,
    ( bigC(b,b,product(a,c)) != product(bigC(a,b,b),bigC(b,b,c))
    | product(bigC(a,b,b),bigC(b,b,c)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,b,product(a,c)))),bind(Y,$fot(product(bigC(a,b,b),bigC(b,b,c))))]]) ).

cnf(refute_0_18666,plain,
    product(bigC(a,b,b),bigC(b,b,c)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(a,c)),product(bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18664,refute_0_18665]) ).

cnf(refute_0_18667,plain,
    ( product(bigC(a,b,b),bigC(b,b,c)) != bigC(b,b,product(a,c))
    | product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))) != product(product(A,C),product(bigC(a,b,b),bigC(b,b,c)))
    | product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))),product(product(A,C),product(bigC(a,b,b),bigC(b,b,c)))) ),[1,1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_18668,plain,
    ( product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))) != product(product(A,C),product(bigC(a,b,b),bigC(b,b,c)))
    | product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))) = product(product(A,C),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(b,b,c)),bigC(b,b,product(a,c))) )],[refute_0_18666,refute_0_18667]) ).

cnf(refute_0_18669,plain,
    product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))) = product(product(A,C),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(A,bigC(a,b,b)),product(C,bigC(b,b,c))),product(product(A,C),product(bigC(a,b,b),bigC(b,b,c)))) )],[refute_0_18567,refute_0_18668]) ).

cnf(refute_0_18670,plain,
    product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(subst,[],[refute_0_18669:[bind(A,$fot(c)),bind(C,$fot(X_23))]]) ).

cnf(refute_0_18671,plain,
    ( bigC(bigC(b,b,c),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))
    | product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | bigC(bigC(b,b,c),product(a,b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,b,c),product(a,b),X_23),product(product(c,X_23),bigC(b,b,product(a,c)))) ),[0],$fot(product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))))]]) ).

cnf(refute_0_18672,plain,
    ( bigC(bigC(b,b,c),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))
    | bigC(bigC(b,b,c),product(a,b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c))),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_18670,refute_0_18671]) ).

cnf(refute_0_18673,plain,
    ( bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23) != product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))
    | bigC(bigC(b,b,c),product(a,b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),product(a,b),X_23),product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))) )],[refute_0_18566,refute_0_18672]) ).

cnf(refute_0_18674,plain,
    bigC(bigC(b,b,c),product(a,b),X_23) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,bigC(a,b,b)),product(a,b)),product(a,b),X_23),product(product(c,bigC(a,b,b)),product(X_23,bigC(b,b,c)))) )],[refute_0_18560,refute_0_18673]) ).

cnf(refute_0_18675,plain,
    bigC(product(a,b),X_22,quotient(product(c,bigC(a,b,b)),product(a,b))) = product(product(product(a,b),X_22),product(c,bigC(a,b,b))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(c,bigC(a,b,b)))),bind(X_21,$fot(product(a,b)))]]) ).

cnf(refute_0_18676,plain,
    ( bigC(product(a,b),X_22,quotient(product(c,bigC(a,b,b)),product(a,b))) != product(product(product(a,b),X_22),product(c,bigC(a,b,b)))
    | quotient(product(c,bigC(a,b,b)),product(a,b)) != bigC(b,b,c)
    | bigC(product(a,b),X_22,bigC(b,b,c)) = product(product(product(a,b),X_22),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_22,quotient(product(c,bigC(a,b,b)),product(a,b))),product(product(product(a,b),X_22),product(c,bigC(a,b,b)))) ),[0,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18677,plain,
    ( bigC(product(a,b),X_22,quotient(product(c,bigC(a,b,b)),product(a,b))) != product(product(product(a,b),X_22),product(c,bigC(a,b,b)))
    | bigC(product(a,b),X_22,bigC(b,b,c)) = product(product(product(a,b),X_22),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(a,b,b)),product(a,b)),bigC(b,b,c)) )],[refute_0_18557,refute_0_18676]) ).

cnf(refute_0_18678,plain,
    bigC(product(a,b),X_22,bigC(b,b,c)) = product(product(product(a,b),X_22),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,quotient(product(c,bigC(a,b,b)),product(a,b))),product(product(product(a,b),X_22),product(c,bigC(a,b,b)))) )],[refute_0_18675,refute_0_18677]) ).

cnf(refute_0_18679,plain,
    ( bigC(bigC(b,b,c),product(a,b),X_23) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(c,X_23),bigC(b,b,product(a,c))) = bigC(bigC(b,b,c),product(a,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(bigC(b,b,c),product(a,b),X_23))),bind(Y,$fot(product(product(c,X_23),bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_18680,plain,
    product(product(c,X_23),bigC(b,b,product(a,c))) = bigC(bigC(b,b,c),product(a,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),product(a,b),X_23),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_18674,refute_0_18679]) ).

cnf(refute_0_18681,plain,
    product(product(c,X_22),bigC(b,b,product(a,c))) = bigC(bigC(b,b,c),product(a,b),X_22),
    inference(subst,[],[refute_0_18680:[bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_18682,plain,
    product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) = product(product(c,X_22),bigC(b,b,product(a,c))),
    inference(subst,[],[refute_0_16934:[bind(A,$fot(c)),bind(C,$fot(X_22))]]) ).

cnf(refute_0_18683,plain,
    ( product(product(c,X_22),bigC(b,b,product(a,c))) != bigC(bigC(b,b,c),product(a,b),X_22)
    | product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) != product(product(c,X_22),bigC(b,b,product(a,c)))
    | product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) = bigC(bigC(b,b,c),product(a,b),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(X_22,bigC(a,b,b))))),bind(Y,$fot(product(product(c,X_22),bigC(b,b,product(a,c))))),bind(Z,$fot(bigC(bigC(b,b,c),product(a,b),X_22)))]]) ).

cnf(refute_0_18684,plain,
    ( product(product(c,X_22),bigC(b,b,product(a,c))) != bigC(bigC(b,b,c),product(a,b),X_22)
    | product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) = bigC(bigC(b,b,c),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_22,bigC(a,b,b))),product(product(c,X_22),bigC(b,b,product(a,c)))) )],[refute_0_18682,refute_0_18683]) ).

cnf(refute_0_18685,plain,
    product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) = bigC(bigC(b,b,c),product(a,b),X_22),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),bigC(b,b,product(a,c))),bigC(bigC(b,b,c),product(a,b),X_22)) )],[refute_0_18681,refute_0_18684]) ).

cnf(refute_0_18686,plain,
    product(product(product(a,b),X_22),product(c,bigC(a,b,b))) = product(product(c,product(c,b)),product(X_22,bigC(a,b,b))),
    inference(subst,[],[refute_0_12754:[bind(B,$fot(X_22)),bind(D,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_18687,plain,
    ( product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) != bigC(bigC(b,b,c),product(a,b),X_22)
    | product(product(product(a,b),X_22),product(c,bigC(a,b,b))) != product(product(c,product(c,b)),product(X_22,bigC(a,b,b)))
    | product(product(product(a,b),X_22),product(c,bigC(a,b,b))) = bigC(bigC(b,b,c),product(a,b),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),X_22),product(c,bigC(a,b,b))))),bind(Y,$fot(product(product(c,product(c,b)),product(X_22,bigC(a,b,b))))),bind(Z,$fot(bigC(bigC(b,b,c),product(a,b),X_22)))]]) ).

cnf(refute_0_18688,plain,
    ( product(product(c,product(c,b)),product(X_22,bigC(a,b,b))) != bigC(bigC(b,b,c),product(a,b),X_22)
    | product(product(product(a,b),X_22),product(c,bigC(a,b,b))) = bigC(bigC(b,b,c),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_22),product(c,bigC(a,b,b))),product(product(c,product(c,b)),product(X_22,bigC(a,b,b)))) )],[refute_0_18686,refute_0_18687]) ).

cnf(refute_0_18689,plain,
    product(product(product(a,b),X_22),product(c,bigC(a,b,b))) = bigC(bigC(b,b,c),product(a,b),X_22),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(X_22,bigC(a,b,b))),bigC(bigC(b,b,c),product(a,b),X_22)) )],[refute_0_18685,refute_0_18688]) ).

cnf(refute_0_18690,plain,
    ( bigC(product(a,b),X_22,bigC(b,b,c)) != product(product(product(a,b),X_22),product(c,bigC(a,b,b)))
    | product(product(product(a,b),X_22),product(c,bigC(a,b,b))) != bigC(bigC(b,b,c),product(a,b),X_22)
    | bigC(product(a,b),X_22,bigC(b,b,c)) = bigC(bigC(b,b,c),product(a,b),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_22,bigC(b,b,c)),bigC(bigC(b,b,c),product(a,b),X_22)) ),[0],$fot(product(product(product(a,b),X_22),product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_18691,plain,
    ( bigC(product(a,b),X_22,bigC(b,b,c)) != product(product(product(a,b),X_22),product(c,bigC(a,b,b)))
    | bigC(product(a,b),X_22,bigC(b,b,c)) = bigC(bigC(b,b,c),product(a,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_22),product(c,bigC(a,b,b))),bigC(bigC(b,b,c),product(a,b),X_22)) )],[refute_0_18689,refute_0_18690]) ).

cnf(refute_0_18692,plain,
    bigC(product(a,b),X_22,bigC(b,b,c)) = bigC(bigC(b,b,c),product(a,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,bigC(b,b,c)),product(product(product(a,b),X_22),product(c,bigC(a,b,b)))) )],[refute_0_18678,refute_0_18691]) ).

cnf(refute_0_18693,plain,
    ( bigC(product(a,b),X_22,bigC(b,b,c)) != bigC(bigC(b,b,c),product(a,b),X_22)
    | bigC(bigC(b,b,c),product(a,b),X_22) = bigC(product(a,b),X_22,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,b),X_22,bigC(b,b,c)))),bind(Y,$fot(bigC(bigC(b,b,c),product(a,b),X_22)))]]) ).

cnf(refute_0_18694,plain,
    bigC(bigC(b,b,c),product(a,b),X_22) = bigC(product(a,b),X_22,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,bigC(b,b,c)),bigC(bigC(b,b,c),product(a,b),X_22)) )],[refute_0_18692,refute_0_18693]) ).

cnf(refute_0_18695,plain,
    bigC(bigC(b,b,c),product(a,b),X_23) = bigC(product(a,b),X_23,bigC(b,b,c)),
    inference(subst,[],[refute_0_18694:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_18696,plain,
    ( bigC(bigC(b,b,c),product(a,b),X_23) != bigC(product(a,b),X_23,bigC(b,b,c))
    | bigC(bigC(b,b,c),product(a,b),X_23) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | bigC(product(a,b),X_23,bigC(b,b,c)) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,b,c),product(a,b),X_23),product(product(c,X_23),bigC(b,b,product(a,c)))) ),[0],$fot(bigC(product(a,b),X_23,bigC(b,b,c)))]]) ).

cnf(refute_0_18697,plain,
    ( bigC(bigC(b,b,c),product(a,b),X_23) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | bigC(product(a,b),X_23,bigC(b,b,c)) = product(product(c,X_23),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),product(a,b),X_23),bigC(product(a,b),X_23,bigC(b,b,c))) )],[refute_0_18695,refute_0_18696]) ).

cnf(refute_0_18698,plain,
    bigC(product(a,b),X_23,bigC(b,b,c)) = product(product(c,X_23),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),product(a,b),X_23),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_18674,refute_0_18697]) ).

cnf(refute_0_18699,plain,
    ( bigC(product(a,b),X_23,bigC(b,b,c)) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(c,X_23),bigC(b,b,product(a,c))) = bigC(product(a,b),X_23,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(a,b),X_23,bigC(b,b,c)))),bind(Y,$fot(product(product(c,X_23),bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_18700,plain,
    product(product(c,X_23),bigC(b,b,product(a,c))) = bigC(product(a,b),X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_23,bigC(b,b,c)),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_18698,refute_0_18699]) ).

cnf(refute_0_18701,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),X_23) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | product(product(c,X_23),bigC(b,b,product(a,c))) != bigC(product(a,b),X_23,bigC(b,b,c))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = bigC(product(a,b),X_23,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,product(b,c)),product(product(c,b),b),X_23),bigC(product(a,b),X_23,bigC(b,b,c))) ),[0],$fot(product(product(c,X_23),bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_18702,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),X_23) != product(product(c,X_23),bigC(b,b,product(a,c)))
    | bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = bigC(product(a,b),X_23,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(b,b,product(a,c))),bigC(product(a,b),X_23,bigC(b,b,c))) )],[refute_0_18700,refute_0_18701]) ).

cnf(refute_0_18703,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),X_23) = bigC(product(a,b),X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),X_23),product(product(c,X_23),bigC(b,b,product(a,c)))) )],[refute_0_16949,refute_0_18702]) ).

cnf(refute_0_18704,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_18703:[bind(X_23,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_18705,plain,
    difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(product(c,b),b))),bind(X_16,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_18706,plain,
    ( difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))
    | product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_18707,plain,
    ( difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(c,b),b)),product(c,b)) )],[refute_0_9479,refute_0_18706]) ).

cnf(refute_0_18708,plain,
    difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_18705,refute_0_18707]) ).

cnf(refute_0_18709,plain,
    bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) = bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))))]]) ).

cnf(refute_0_18710,plain,
    ( bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) != bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))
    | product(b,product(c,b)) != bigC(b,b,c)
    | bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))),bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))) ),[1,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18711,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))),bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))) )],[refute_0_18709,refute_0_18710]) ).

cnf(refute_0_18712,plain,
    bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,b)),bigC(b,b,c)) )],[refute_0_5615,refute_0_18711]) ).

cnf(refute_0_18713,plain,
    product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))) = bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(bigC(a,b,b))),bind(X_63,$fot(b)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_18714,plain,
    ( difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))
    | product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))) != bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))))),bind(Z,$fot(bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))))]]) ).

cnf(refute_0_18715,plain,
    ( product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))) != bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_18705,refute_0_18714]) ).

cnf(refute_0_18716,plain,
    difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(bigC(a,b,b),product(product(c,b),b))),bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))) )],[refute_0_18713,refute_0_18715]) ).

cnf(refute_0_18717,plain,
    ( bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) != bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)))),bind(Y,$fot(bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))))),bind(Z,$fot(bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))))]]) ).

cnf(refute_0_18718,plain,
    ( bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))) != bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(product(a,b),bigC(a,b,b),product(b,product(c,b)))) )],[refute_0_18716,refute_0_18717]) ).

cnf(refute_0_18719,plain,
    difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) = bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,b),product(b,product(c,b))),bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18712,refute_0_18718]) ).

cnf(refute_0_18720,plain,
    ( difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))
    | difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) ),[0],$fot(bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)))]]) ).

cnf(refute_0_18721,plain,
    ( difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(c,b))
    | bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18719,refute_0_18720]) ).

cnf(refute_0_18722,plain,
    bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(c,b),b),bigC(a,b,b)),bigC(a,b,b)),bigC(a,b,b)),product(bigC(a,b,b),product(c,b))) )],[refute_0_18708,refute_0_18721]) ).

cnf(refute_0_18723,plain,
    ( bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),product(c,b))
    | product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)),product(c,bigC(b,b,c))) ),[0],$fot(product(bigC(a,b,b),product(c,b)))]]) ).

cnf(refute_0_18724,plain,
    ( bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),product(c,b))
    | bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_18723]) ).

cnf(refute_0_18725,plain,
    bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(a,b,b),product(c,b))) )],[refute_0_18722,refute_0_18724]) ).

cnf(refute_0_18726,plain,
    ( bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)) != product(c,bigC(b,b,c))
    | bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) != bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)),bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))) ),[1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_18727,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) != bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(a,b,b),bigC(b,b,c)),product(c,bigC(b,b,c))) )],[refute_0_18725,refute_0_18726]) ).

cnf(refute_0_18728,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)),bigC(product(a,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_18704,refute_0_18727]) ).

cnf(refute_0_18729,plain,
    product(product(product(a,product(b,c)),product(product(c,b),b)),c) = product(product(product(a,product(b,c)),product(product(c,b),b)),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),product(product(c,b),b)),c))]]) ).

cnf(refute_0_18730,plain,
    ( product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,c),b)
    | product(product(product(a,product(b,c)),product(product(c,b),b)),c) != product(product(product(a,product(b,c)),product(product(c,b),b)),c)
    | product(product(product(a,product(b,c)),product(product(c,b),b)),c) = product(product(product(a,c),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),product(product(c,b),b)),c),product(product(product(a,product(b,c)),product(product(c,b),b)),c)) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_18731,plain,
    ( product(product(a,product(b,c)),product(product(c,b),b)) != product(product(a,c),b)
    | product(product(product(a,product(b,c)),product(product(c,b),b)),c) = product(product(product(a,c),b),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(product(c,b),b)),c),product(product(product(a,product(b,c)),product(product(c,b),b)),c)) )],[refute_0_18729,refute_0_18730]) ).

cnf(refute_0_18732,plain,
    product(product(product(a,product(b,c)),product(product(c,b),b)),c) = product(product(product(a,c),b),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(c,b),b)),product(product(a,c),b)) )],[refute_0_7868,refute_0_18731]) ).

cnf(refute_0_18733,plain,
    bigC(difference(bigC(b,a,b),c),X_22,bigC(b,a,b)) = product(product(difference(bigC(b,a,b),c),X_22),c),
    inference(subst,[],[refute_0_27:[bind(B,$fot(c)),bind(X_23,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_18734,plain,
    ( bigC(difference(bigC(b,a,b),c),X_22,bigC(b,a,b)) != product(product(difference(bigC(b,a,b),c),X_22),c)
    | difference(bigC(b,a,b),c) != product(a,product(b,c))
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = product(product(difference(bigC(b,a,b),c),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(bigC(b,a,b),c),X_22,bigC(b,a,b)),product(product(difference(bigC(b,a,b),c),X_22),c)) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_18735,plain,
    ( bigC(difference(bigC(b,a,b),c),X_22,bigC(b,a,b)) != product(product(difference(bigC(b,a,b),c),X_22),c)
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = product(product(difference(bigC(b,a,b),c),X_22),c) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_9187,refute_0_18734]) ).

cnf(refute_0_18736,plain,
    bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = product(product(difference(bigC(b,a,b),c),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(difference(bigC(b,a,b),c),X_22,bigC(b,a,b)),product(product(difference(bigC(b,a,b),c),X_22),c)) )],[refute_0_18733,refute_0_18735]) ).

cnf(refute_0_18737,plain,
    product(difference(bigC(b,a,b),c),X_22) = product(difference(bigC(b,a,b),c),X_22),
    introduced(tautology,[refl,[$fot(product(difference(bigC(b,a,b),c),X_22))]]) ).

cnf(refute_0_18738,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | product(difference(bigC(b,a,b),c),X_22) != product(difference(bigC(b,a,b),c),X_22)
    | product(difference(bigC(b,a,b),c),X_22) = product(product(a,product(b,c)),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(b,a,b),c),X_22),product(difference(bigC(b,a,b),c),X_22)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_18739,plain,
    ( difference(bigC(b,a,b),c) != product(a,product(b,c))
    | product(difference(bigC(b,a,b),c),X_22) = product(product(a,product(b,c)),X_22) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(b,a,b),c),X_22),product(difference(bigC(b,a,b),c),X_22)) )],[refute_0_18737,refute_0_18738]) ).

cnf(refute_0_18740,plain,
    product(difference(bigC(b,a,b),c),X_22) = product(product(a,product(b,c)),X_22),
    inference(resolve,[$cnf( $equal(difference(bigC(b,a,b),c),product(a,product(b,c))) )],[refute_0_9187,refute_0_18739]) ).

cnf(refute_0_18741,plain,
    product(product(difference(bigC(b,a,b),c),X_22),c) = product(product(difference(bigC(b,a,b),c),X_22),c),
    introduced(tautology,[refl,[$fot(product(product(difference(bigC(b,a,b),c),X_22),c))]]) ).

cnf(refute_0_18742,plain,
    ( product(difference(bigC(b,a,b),c),X_22) != product(product(a,product(b,c)),X_22)
    | product(product(difference(bigC(b,a,b),c),X_22),c) != product(product(difference(bigC(b,a,b),c),X_22),c)
    | product(product(difference(bigC(b,a,b),c),X_22),c) = product(product(product(a,product(b,c)),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(bigC(b,a,b),c),X_22),c),product(product(difference(bigC(b,a,b),c),X_22),c)) ),[1,0],$fot(product(product(a,product(b,c)),X_22))]]) ).

cnf(refute_0_18743,plain,
    ( product(difference(bigC(b,a,b),c),X_22) != product(product(a,product(b,c)),X_22)
    | product(product(difference(bigC(b,a,b),c),X_22),c) = product(product(product(a,product(b,c)),X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(b,a,b),c),X_22),c),product(product(difference(bigC(b,a,b),c),X_22),c)) )],[refute_0_18741,refute_0_18742]) ).

cnf(refute_0_18744,plain,
    product(product(difference(bigC(b,a,b),c),X_22),c) = product(product(product(a,product(b,c)),X_22),c),
    inference(resolve,[$cnf( $equal(product(difference(bigC(b,a,b),c),X_22),product(product(a,product(b,c)),X_22)) )],[refute_0_18740,refute_0_18743]) ).

cnf(refute_0_18745,plain,
    ( bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) != product(product(difference(bigC(b,a,b),c),X_22),c)
    | product(product(difference(bigC(b,a,b),c),X_22),c) != product(product(product(a,product(b,c)),X_22),c)
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = product(product(product(a,product(b,c)),X_22),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),product(product(product(a,product(b,c)),X_22),c)) ),[0],$fot(product(product(difference(bigC(b,a,b),c),X_22),c))]]) ).

cnf(refute_0_18746,plain,
    ( bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) != product(product(difference(bigC(b,a,b),c),X_22),c)
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = product(product(product(a,product(b,c)),X_22),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(bigC(b,a,b),c),X_22),c),product(product(product(a,product(b,c)),X_22),c)) )],[refute_0_18744,refute_0_18745]) ).

cnf(refute_0_18747,plain,
    bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = product(product(product(a,product(b,c)),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),product(product(difference(bigC(b,a,b),c),X_22),c)) )],[refute_0_18736,refute_0_18746]) ).

cnf(refute_0_18748,plain,
    bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)))]]) ).

cnf(refute_0_18749,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) != bigC(product(a,product(b,c)),X_22,bigC(b,a,b))
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = bigC(product(a,product(b,c)),X_22,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),bigC(product(a,product(b,c)),X_22,bigC(b,a,b))) ),[1,2],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_18750,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = bigC(product(a,product(b,c)),X_22,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),bigC(product(a,product(b,c)),X_22,bigC(b,a,b))) )],[refute_0_18748,refute_0_18749]) ).

cnf(refute_0_18751,plain,
    bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) = bigC(product(a,product(b,c)),X_22,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_18750]) ).

cnf(refute_0_18752,plain,
    ( bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) != bigC(product(a,product(b,c)),X_22,bigC(a,b,b))
    | bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) != product(product(product(a,product(b,c)),X_22),c)
    | bigC(product(a,product(b,c)),X_22,bigC(a,b,b)) = product(product(product(a,product(b,c)),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),product(product(product(a,product(b,c)),X_22),c)) ),[0],$fot(bigC(product(a,product(b,c)),X_22,bigC(a,b,b)))]]) ).

cnf(refute_0_18753,plain,
    ( bigC(product(a,product(b,c)),X_22,bigC(b,a,b)) != product(product(product(a,product(b,c)),X_22),c)
    | bigC(product(a,product(b,c)),X_22,bigC(a,b,b)) = product(product(product(a,product(b,c)),X_22),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),bigC(product(a,product(b,c)),X_22,bigC(a,b,b))) )],[refute_0_18751,refute_0_18752]) ).

cnf(refute_0_18754,plain,
    bigC(product(a,product(b,c)),X_22,bigC(a,b,b)) = product(product(product(a,product(b,c)),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),X_22,bigC(b,a,b)),product(product(product(a,product(b,c)),X_22),c)) )],[refute_0_18747,refute_0_18753]) ).

cnf(refute_0_18755,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(product(product(a,product(b,c)),product(product(c,b),b)),c),
    inference(subst,[],[refute_0_18754:[bind(X_22,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_18756,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) != product(product(product(a,product(b,c)),product(product(c,b),b)),c)
    | product(product(product(a,product(b,c)),product(product(c,b),b)),c) != product(product(product(a,c),b),c)
    | bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(product(product(a,c),b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)))),bind(Y,$fot(product(product(product(a,product(b,c)),product(product(c,b),b)),c))),bind(Z,$fot(product(product(product(a,c),b),c)))]]) ).

cnf(refute_0_18757,plain,
    ( product(product(product(a,product(b,c)),product(product(c,b),b)),c) != product(product(product(a,c),b),c)
    | bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(product(product(a,c),b),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)),product(product(product(a,product(b,c)),product(product(c,b),b)),c)) )],[refute_0_18755,refute_0_18756]) ).

cnf(refute_0_18758,plain,
    bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) = product(product(product(a,c),b),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(product(c,b),b)),c),product(product(product(a,c),b),c)) )],[refute_0_18732,refute_0_18757]) ).

cnf(refute_0_18759,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) != product(product(product(a,c),b),c)
    | product(product(product(a,c),b),c) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)),product(c,bigC(b,b,c))) ),[0],$fot(product(product(product(a,c),b),c))]]) ).

cnf(refute_0_18760,plain,
    ( bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)) != product(c,bigC(b,b,c))
    | product(product(product(a,c),b),c) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)),product(product(product(a,c),b),c)) )],[refute_0_18758,refute_0_18759]) ).

cnf(refute_0_18761,plain,
    product(product(product(a,c),b),c) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,product(b,c)),product(product(c,b),b),bigC(a,b,b)),product(c,bigC(b,b,c))) )],[refute_0_18728,refute_0_18760]) ).

cnf(refute_0_18762,plain,
    difference(c,product(product(product(a,c),b),c)) = difference(c,product(product(product(a,c),b),c)),
    introduced(tautology,[refl,[$fot(difference(c,product(product(product(a,c),b),c)))]]) ).

cnf(refute_0_18763,plain,
    ( difference(c,product(product(product(a,c),b),c)) != difference(c,product(product(product(a,c),b),c))
    | product(product(product(a,c),b),c) != product(c,bigC(b,b,c))
    | difference(c,product(product(product(a,c),b),c)) = difference(c,product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(product(product(a,c),b),c)),difference(c,product(product(product(a,c),b),c))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_18764,plain,
    ( product(product(product(a,c),b),c) != product(c,bigC(b,b,c))
    | difference(c,product(product(product(a,c),b),c)) = difference(c,product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(product(a,c),b),c)),difference(c,product(product(product(a,c),b),c))) )],[refute_0_18762,refute_0_18763]) ).

cnf(refute_0_18765,plain,
    difference(c,product(product(product(a,c),b),c)) = difference(c,product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),c),product(c,bigC(b,b,c))) )],[refute_0_18761,refute_0_18764]) ).

cnf(refute_0_18766,plain,
    ( difference(c,product(c,bigC(b,b,c))) != bigC(b,b,c)
    | difference(c,product(product(product(a,c),b),c)) != difference(c,product(c,bigC(b,b,c)))
    | difference(c,product(product(product(a,c),b),c)) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(product(a,c),b),c)))),bind(Y,$fot(difference(c,product(c,bigC(b,b,c))))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_18767,plain,
    ( difference(c,product(c,bigC(b,b,c))) != bigC(b,b,c)
    | difference(c,product(product(product(a,c),b),c)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(product(a,c),b),c)),difference(c,product(c,bigC(b,b,c)))) )],[refute_0_18765,refute_0_18766]) ).

cnf(refute_0_18768,plain,
    difference(c,product(product(product(a,c),b),c)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(b,b,c))),bigC(b,b,c)) )],[refute_0_16777,refute_0_18767]) ).

cnf(refute_0_18769,plain,
    difference(difference(c,product(product(product(a,c),b),c)),c) = difference(difference(c,product(product(product(a,c),b),c)),c),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(product(product(a,c),b),c)),c))]]) ).

cnf(refute_0_18770,plain,
    ( difference(c,product(product(product(a,c),b),c)) != bigC(b,b,c)
    | difference(difference(c,product(product(product(a,c),b),c)),c) != difference(difference(c,product(product(product(a,c),b),c)),c)
    | difference(difference(c,product(product(product(a,c),b),c)),c) = difference(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(product(product(a,c),b),c)),c),difference(difference(c,product(product(product(a,c),b),c)),c)) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_18771,plain,
    ( difference(c,product(product(product(a,c),b),c)) != bigC(b,b,c)
    | difference(difference(c,product(product(product(a,c),b),c)),c) = difference(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(product(product(a,c),b),c)),c),difference(difference(c,product(product(product(a,c),b),c)),c)) )],[refute_0_18769,refute_0_18770]) ).

cnf(refute_0_18772,plain,
    difference(difference(c,product(product(product(a,c),b),c)),c) = difference(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(difference(c,product(product(product(a,c),b),c)),bigC(b,b,c)) )],[refute_0_18768,refute_0_18771]) ).

cnf(refute_0_18773,plain,
    ( difference(difference(c,product(product(product(a,c),b),c)),c) != difference(bigC(b,b,c),c)
    | difference(difference(c,product(product(product(a,c),b),c)),c) != product(a,product(c,b))
    | difference(bigC(b,b,c),c) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(product(product(a,c),b),c)),c),product(a,product(c,b))) ),[0],$fot(difference(bigC(b,b,c),c))]]) ).

cnf(refute_0_18774,plain,
    ( difference(difference(c,product(product(product(a,c),b),c)),c) != product(a,product(c,b))
    | difference(bigC(b,b,c),c) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(product(product(a,c),b),c)),c),difference(bigC(b,b,c),c)) )],[refute_0_18772,refute_0_18773]) ).

cnf(refute_0_18775,plain,
    difference(bigC(b,b,c),c) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(product(product(a,c),b),c)),c),product(a,product(c,b))) )],[refute_0_16776,refute_0_18774]) ).

cnf(refute_0_18776,plain,
    quotient(difference(bigC(b,b,c),c),c) = quotient(difference(bigC(b,b,c),c),c),
    introduced(tautology,[refl,[$fot(quotient(difference(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_18777,plain,
    ( difference(bigC(b,b,c),c) != product(a,product(c,b))
    | quotient(difference(bigC(b,b,c),c),c) != quotient(difference(bigC(b,b,c),c),c)
    | quotient(difference(bigC(b,b,c),c),c) = quotient(product(a,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),quotient(difference(bigC(b,b,c),c),c)) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_18778,plain,
    ( difference(bigC(b,b,c),c) != product(a,product(c,b))
    | quotient(difference(bigC(b,b,c),c),c) = quotient(product(a,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),quotient(difference(bigC(b,b,c),c),c)) )],[refute_0_18776,refute_0_18777]) ).

cnf(refute_0_18779,plain,
    quotient(difference(bigC(b,b,c),c),c) = quotient(product(a,product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(b,b,c),c),product(a,product(c,b))) )],[refute_0_18775,refute_0_18778]) ).

cnf(refute_0_18780,plain,
    ( quotient(difference(bigC(b,b,c),c),c) != quotient(product(a,product(c,b)),c)
    | quotient(product(a,product(c,b)),c) != difference(product(c,a),a)
    | quotient(difference(bigC(b,b,c),c),c) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(difference(bigC(b,b,c),c),c))),bind(Y,$fot(quotient(product(a,product(c,b)),c))),bind(Z,$fot(difference(product(c,a),a)))]]) ).

cnf(refute_0_18781,plain,
    ( quotient(product(a,product(c,b)),c) != difference(product(c,a),a)
    | quotient(difference(bigC(b,b,c),c),c) = difference(product(c,a),a) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),quotient(product(a,product(c,b)),c)) )],[refute_0_18779,refute_0_18780]) ).

cnf(refute_0_18782,plain,
    quotient(difference(bigC(b,b,c),c),c) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),c),difference(product(c,a),a)) )],[refute_0_16718,refute_0_18781]) ).

cnf(refute_0_18783,plain,
    ( quotient(difference(bigC(b,b,c),c),c) != difference(product(b,c),product(c,a))
    | quotient(difference(bigC(b,b,c),c),c) != difference(product(c,a),a)
    | difference(product(c,a),a) = difference(product(b,c),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),difference(product(b,c),product(c,a))) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_18784,plain,
    ( quotient(difference(bigC(b,b,c),c),c) != difference(product(b,c),product(c,a))
    | difference(product(c,a),a) = difference(product(b,c),product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),difference(product(c,a),a)) )],[refute_0_18782,refute_0_18783]) ).

cnf(refute_0_18785,plain,
    difference(product(c,a),a) = difference(product(b,c),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(difference(bigC(b,b,c),c),c),difference(product(b,c),product(c,a))) )],[refute_0_16713,refute_0_18784]) ).

cnf(refute_0_18786,plain,
    ( difference(product(c,a),a) != difference(product(b,c),product(c,a))
    | difference(product(b,c),product(c,a)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(difference(product(b,c),product(c,a))))]]) ).

cnf(refute_0_18787,plain,
    difference(product(b,c),product(c,a)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),difference(product(b,c),product(c,a))) )],[refute_0_18785,refute_0_18786]) ).

cnf(refute_0_18788,plain,
    ( difference(product(b,c),product(c,a)) != difference(product(c,a),a)
    | difference(product(b,c),product(c,a)) != quotient(product(a,b),product(b,c))
    | difference(product(c,a),a) = quotient(product(a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(c,a)),quotient(product(a,b),product(b,c))) ),[0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_18789,plain,
    ( difference(product(b,c),product(c,a)) != quotient(product(a,b),product(b,c))
    | difference(product(c,a),a) = quotient(product(a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,a)),difference(product(c,a),a)) )],[refute_0_18787,refute_0_18788]) ).

cnf(refute_0_18790,plain,
    difference(product(c,a),a) = quotient(product(a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,a)),quotient(product(a,b),product(b,c))) )],[refute_0_16669,refute_0_18789]) ).

cnf(refute_0_18791,plain,
    ( difference(product(c,a),a) != quotient(product(a,b),product(b,c))
    | quotient(product(a,b),product(b,c)) = difference(product(c,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,a),a))),bind(Y,$fot(quotient(product(a,b),product(b,c))))]]) ).

cnf(refute_0_18792,plain,
    quotient(product(a,b),product(b,c)) = difference(product(c,a),a),
    inference(resolve,[$cnf( $equal(difference(product(c,a),a),quotient(product(a,b),product(b,c))) )],[refute_0_18790,refute_0_18791]) ).

cnf(refute_0_18793,plain,
    ( product(quotient(product(a,b),product(b,c)),product(b,c)) != product(a,b)
    | quotient(product(a,b),product(b,c)) != difference(product(c,a),a)
    | product(difference(product(c,a),a),product(b,c)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),product(b,c)),product(b,c)),product(a,b)) ),[0,0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_18794,plain,
    ( product(quotient(product(a,b),product(b,c)),product(b,c)) != product(a,b)
    | product(difference(product(c,a),a),product(b,c)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(b,c)),difference(product(c,a),a)) )],[refute_0_18792,refute_0_18793]) ).

cnf(refute_0_18795,plain,
    product(difference(product(c,a),a),product(b,c)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),product(b,c)),product(b,c)),product(a,b)) )],[refute_0_16658,refute_0_18794]) ).

cnf(refute_0_18796,plain,
    bigC(c,quotient(difference(b,c),a),b) = bigC(c,b,quotient(difference(b,c),a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(quotient(difference(b,c),a)))]]) ).

cnf(refute_0_18797,plain,
    bigC(c,difference(c,difference(product(c,a),a)),X_23) = product(difference(product(c,a),a),product(X_23,c)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(difference(product(c,a),a))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_18798,plain,
    ( bigC(c,difference(c,difference(product(c,a),a)),X_23) != product(difference(product(c,a),a),product(X_23,c))
    | difference(c,difference(product(c,a),a)) != quotient(difference(b,c),a)
    | bigC(c,quotient(difference(b,c),a),X_23) = product(difference(product(c,a),a),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,difference(c,difference(product(c,a),a)),X_23),product(difference(product(c,a),a),product(X_23,c))) ),[0,1],$fot(quotient(difference(b,c),a))]]) ).

cnf(refute_0_18799,plain,
    ( bigC(c,difference(c,difference(product(c,a),a)),X_23) != product(difference(product(c,a),a),product(X_23,c))
    | bigC(c,quotient(difference(b,c),a),X_23) = product(difference(product(c,a),a),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(c,a),a)),quotient(difference(b,c),a)) )],[refute_0_16123,refute_0_18798]) ).

cnf(refute_0_18800,plain,
    bigC(c,quotient(difference(b,c),a),X_23) = product(difference(product(c,a),a),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(c,difference(product(c,a),a)),X_23),product(difference(product(c,a),a),product(X_23,c))) )],[refute_0_18797,refute_0_18799]) ).

cnf(refute_0_18801,plain,
    ( bigC(c,quotient(difference(b,c),a),X_23) != product(difference(product(c,a),a),product(X_23,c))
    | product(difference(product(c,a),a),product(X_23,c)) = bigC(c,quotient(difference(b,c),a),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,quotient(difference(b,c),a),X_23))),bind(Y,$fot(product(difference(product(c,a),a),product(X_23,c))))]]) ).

cnf(refute_0_18802,plain,
    product(difference(product(c,a),a),product(X_23,c)) = bigC(c,quotient(difference(b,c),a),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(difference(b,c),a),X_23),product(difference(product(c,a),a),product(X_23,c))) )],[refute_0_18800,refute_0_18801]) ).

cnf(refute_0_18803,plain,
    product(difference(product(c,a),a),product(b,c)) = bigC(c,quotient(difference(b,c),a),b),
    inference(subst,[],[refute_0_18802:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_18804,plain,
    ( bigC(c,quotient(difference(b,c),a),b) != bigC(c,b,quotient(difference(b,c),a))
    | product(difference(product(c,a),a),product(b,c)) != bigC(c,quotient(difference(b,c),a),b)
    | product(difference(product(c,a),a),product(b,c)) = bigC(c,b,quotient(difference(b,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),a),product(b,c)))),bind(Y,$fot(bigC(c,quotient(difference(b,c),a),b))),bind(Z,$fot(bigC(c,b,quotient(difference(b,c),a))))]]) ).

cnf(refute_0_18805,plain,
    ( bigC(c,quotient(difference(b,c),a),b) != bigC(c,b,quotient(difference(b,c),a))
    | product(difference(product(c,a),a),product(b,c)) = bigC(c,b,quotient(difference(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),a),product(b,c)),bigC(c,quotient(difference(b,c),a),b)) )],[refute_0_18803,refute_0_18804]) ).

cnf(refute_0_18806,plain,
    product(difference(product(c,a),a),product(b,c)) = bigC(c,b,quotient(difference(b,c),a)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(difference(b,c),a),b),bigC(c,b,quotient(difference(b,c),a))) )],[refute_0_18796,refute_0_18805]) ).

cnf(refute_0_18807,plain,
    ( product(difference(product(c,a),a),product(b,c)) != bigC(c,b,quotient(difference(b,c),a))
    | product(difference(product(c,a),a),product(b,c)) != product(a,b)
    | bigC(c,b,quotient(difference(b,c),a)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,a),a),product(b,c)),product(a,b)) ),[0],$fot(bigC(c,b,quotient(difference(b,c),a)))]]) ).

cnf(refute_0_18808,plain,
    ( product(difference(product(c,a),a),product(b,c)) != product(a,b)
    | bigC(c,b,quotient(difference(b,c),a)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),a),product(b,c)),bigC(c,b,quotient(difference(b,c),a))) )],[refute_0_18806,refute_0_18807]) ).

cnf(refute_0_18809,plain,
    bigC(c,b,quotient(difference(b,c),a)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),a),product(b,c)),product(a,b)) )],[refute_0_18795,refute_0_18808]) ).

cnf(refute_0_18810,plain,
    ( bigC(c,b,quotient(difference(b,c),a)) != product(a,b)
    | difference(product(c,b),bigC(c,b,quotient(difference(b,c),a))) != product(quotient(difference(b,c),a),c)
    | difference(product(c,b),product(a,b)) = product(quotient(difference(b,c),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(c,b,quotient(difference(b,c),a))),product(quotient(difference(b,c),a),c)) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_18811,plain,
    ( difference(product(c,b),bigC(c,b,quotient(difference(b,c),a))) != product(quotient(difference(b,c),a),c)
    | difference(product(c,b),product(a,b)) = product(quotient(difference(b,c),a),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,quotient(difference(b,c),a)),product(a,b)) )],[refute_0_18809,refute_0_18810]) ).

cnf(refute_0_18812,plain,
    difference(product(c,b),product(a,b)) = product(quotient(difference(b,c),a),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(c,b,quotient(difference(b,c),a))),product(quotient(difference(b,c),a),c)) )],[refute_0_16657,refute_0_18811]) ).

cnf(refute_0_18813,plain,
    product(quotient(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = difference(b,product(c,product(c,b))),
    inference(subst,[],[sos04:[bind(A,$fot(difference(b,product(c,product(c,b))))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_18814,plain,
    quotient(quotient(product(c,b),product(product(c,b),quotient(bigC(a,a,c),c))),product(c,b)) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))),
    inference(subst,[],[refute_0_823:[bind(B,$fot(product(c,b))),bind(X_29,$fot(quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_18815,plain,
    product(product(c,b),difference(product(c,b),product(b,a))) = product(b,a),
    inference(subst,[],[sos02:[bind(A,$fot(product(c,b))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_18816,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(product(c,b),difference(product(c,b),product(b,a))) != product(b,a)
    | product(product(c,b),quotient(bigC(a,a,c),c)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),difference(product(c,b),product(b,a))),product(b,a)) ),[0,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_18817,plain,
    ( product(product(c,b),difference(product(c,b),product(b,a))) != product(b,a)
    | product(product(c,b),quotient(bigC(a,a,c),c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_18816]) ).

cnf(refute_0_18818,plain,
    product(product(c,b),quotient(bigC(a,a,c),c)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(c,b),product(b,a))),product(b,a)) )],[refute_0_18815,refute_0_18817]) ).

cnf(refute_0_18819,plain,
    ( product(product(c,b),quotient(bigC(a,a,c),c)) != product(b,a)
    | quotient(quotient(product(c,b),product(product(c,b),quotient(bigC(a,a,c),c))),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(quotient(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,b),product(product(c,b),quotient(bigC(a,a,c),c))),product(c,b)),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) ),[0,0,1],$fot(product(b,a))]]) ).

cnf(refute_0_18820,plain,
    ( quotient(quotient(product(c,b),product(product(c,b),quotient(bigC(a,a,c),c))),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(quotient(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(bigC(a,a,c),c)),product(b,a)) )],[refute_0_18818,refute_0_18819]) ).

cnf(refute_0_18821,plain,
    quotient(quotient(product(c,b),product(b,a)),product(c,b)) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,b),product(product(c,b),quotient(bigC(a,a,c),c))),product(c,b)),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) )],[refute_0_18814,refute_0_18820]) ).

cnf(refute_0_18822,plain,
    difference(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))) = quotient(product(c,b),product(b,a)),
    inference(subst,[],[sos01:[bind(A,$fot(product(b,a))),bind(B,$fot(quotient(product(c,b),product(b,a))))]]) ).

cnf(refute_0_18823,plain,
    ( difference(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))) != quotient(product(c,b),product(b,a))
    | product(product(b,a),quotient(product(c,b),product(b,a))) != difference(product(b,a),difference(product(b,c),product(b,a)))
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),quotient(product(c,b),product(b,a))) ),[0,1],$fot(difference(product(b,a),difference(product(b,c),product(b,a))))]]) ).

cnf(refute_0_18824,plain,
    ( difference(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))) != quotient(product(c,b),product(b,a))
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),quotient(product(c,b),product(b,a))),difference(product(b,a),difference(product(b,c),product(b,a)))) )],[refute_0_8991,refute_0_18823]) ).

cnf(refute_0_18825,plain,
    difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = quotient(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(product(b,a),quotient(product(c,b),product(b,a)))),quotient(product(c,b),product(b,a))) )],[refute_0_18822,refute_0_18824]) ).

cnf(refute_0_18826,plain,
    difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = product(difference(b,product(bigC(c,a,b),a)),b),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(b)),bind(X_37,$fot(difference(b,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_18827,plain,
    difference(product(b,a),bigC(b,a,difference(b,product(bigC(c,a,b),a)))) = product(difference(b,product(bigC(c,a,b),a)),b),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(b)),bind(X_22,$fot(a)),bind(X_23,$fot(difference(b,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_18828,plain,
    bigC(b,difference(b,product(bigC(c,a,b),a)),a) = product(product(bigC(c,a,b),a),product(a,b)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(bigC(c,a,b),a))),bind(X_21,$fot(b)),bind(X_23,$fot(a))]]) ).

cnf(refute_0_18829,plain,
    ( bigC(b,difference(b,product(bigC(c,a,b),a)),a) != product(product(bigC(c,a,b),a),product(a,b))
    | product(product(bigC(c,a,b),a),product(a,b)) != product(a,c)
    | bigC(b,difference(b,product(bigC(c,a,b),a)),a) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,difference(b,product(bigC(c,a,b),a)),a),product(a,c)) ),[0],$fot(product(product(bigC(c,a,b),a),product(a,b)))]]) ).

cnf(refute_0_18830,plain,
    ( bigC(b,difference(b,product(bigC(c,a,b),a)),a) != product(product(bigC(c,a,b),a),product(a,b))
    | bigC(b,difference(b,product(bigC(c,a,b),a)),a) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),product(a,b)),product(a,c)) )],[refute_0_584,refute_0_18829]) ).

cnf(refute_0_18831,plain,
    bigC(b,difference(b,product(bigC(c,a,b),a)),a) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,product(bigC(c,a,b),a)),a),product(product(bigC(c,a,b),a),product(a,b))) )],[refute_0_18828,refute_0_18830]) ).

cnf(refute_0_18832,plain,
    bigC(b,difference(b,product(bigC(c,a,b),a)),a) = bigC(b,a,difference(b,product(bigC(c,a,b),a))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(a)),bind(C,$fot(difference(b,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_18833,plain,
    ( bigC(b,difference(b,product(bigC(c,a,b),a)),a) != bigC(b,a,difference(b,product(bigC(c,a,b),a)))
    | bigC(b,difference(b,product(bigC(c,a,b),a)),a) != product(a,c)
    | bigC(b,a,difference(b,product(bigC(c,a,b),a))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(b,product(bigC(c,a,b),a)),a),product(a,c)) ),[0],$fot(bigC(b,a,difference(b,product(bigC(c,a,b),a))))]]) ).

cnf(refute_0_18834,plain,
    ( bigC(b,difference(b,product(bigC(c,a,b),a)),a) != product(a,c)
    | bigC(b,a,difference(b,product(bigC(c,a,b),a))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,product(bigC(c,a,b),a)),a),bigC(b,a,difference(b,product(bigC(c,a,b),a)))) )],[refute_0_18832,refute_0_18833]) ).

cnf(refute_0_18835,plain,
    bigC(b,a,difference(b,product(bigC(c,a,b),a))) = product(a,c),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,product(bigC(c,a,b),a)),a),product(a,c)) )],[refute_0_18831,refute_0_18834]) ).

cnf(refute_0_18836,plain,
    ( bigC(b,a,difference(b,product(bigC(c,a,b),a))) != product(a,c)
    | difference(product(b,a),bigC(b,a,difference(b,product(bigC(c,a,b),a)))) != product(difference(b,product(bigC(c,a,b),a)),b)
    | difference(product(b,a),product(a,c)) = product(difference(b,product(bigC(c,a,b),a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),bigC(b,a,difference(b,product(bigC(c,a,b),a)))),product(difference(b,product(bigC(c,a,b),a)),b)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_18837,plain,
    ( difference(product(b,a),bigC(b,a,difference(b,product(bigC(c,a,b),a)))) != product(difference(b,product(bigC(c,a,b),a)),b)
    | difference(product(b,a),product(a,c)) = product(difference(b,product(bigC(c,a,b),a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,difference(b,product(bigC(c,a,b),a))),product(a,c)) )],[refute_0_18835,refute_0_18836]) ).

cnf(refute_0_18838,plain,
    difference(product(b,a),product(a,c)) = product(difference(b,product(bigC(c,a,b),a)),b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),bigC(b,a,difference(b,product(bigC(c,a,b),a)))),product(difference(b,product(bigC(c,a,b),a)),b)) )],[refute_0_18827,refute_0_18837]) ).

cnf(refute_0_18839,plain,
    ( difference(product(b,a),product(a,c)) != product(difference(b,product(bigC(c,a,b),a)),b)
    | product(difference(b,product(bigC(c,a,b),a)),b) = difference(product(b,a),product(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,a),product(a,c)))),bind(Y,$fot(product(difference(b,product(bigC(c,a,b),a)),b)))]]) ).

cnf(refute_0_18840,plain,
    product(difference(b,product(bigC(c,a,b),a)),b) = difference(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(a,c)),product(difference(b,product(bigC(c,a,b),a)),b)) )],[refute_0_18838,refute_0_18839]) ).

cnf(refute_0_18841,plain,
    ( difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) != product(difference(b,product(bigC(c,a,b),a)),b)
    | product(difference(b,product(bigC(c,a,b),a)),b) != difference(product(b,a),product(a,c))
    | difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = difference(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)),difference(product(b,a),product(a,c))) ),[0],$fot(product(difference(b,product(bigC(c,a,b),a)),b))]]) ).

cnf(refute_0_18842,plain,
    ( difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) != product(difference(b,product(bigC(c,a,b),a)),b)
    | difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = difference(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,product(bigC(c,a,b),a)),b),difference(product(b,a),product(a,c))) )],[refute_0_18840,refute_0_18841]) ).

cnf(refute_0_18843,plain,
    difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = difference(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)),product(difference(b,product(bigC(c,a,b),a)),b)) )],[refute_0_18826,refute_0_18842]) ).

cnf(refute_0_18844,plain,
    product(difference(b,product(bigC(c,a,b),a)),b) = difference(b,product(product(bigC(c,a,b),a),b)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(bigC(c,a,b),a))),bind(X_74,$fot(b))]]) ).

cnf(refute_0_18845,plain,
    ( difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) != product(difference(b,product(bigC(c,a,b),a)),b)
    | product(difference(b,product(bigC(c,a,b),a)),b) != difference(b,product(product(bigC(c,a,b),a),b))
    | difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = difference(b,product(product(bigC(c,a,b),a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)))),bind(Y,$fot(product(difference(b,product(bigC(c,a,b),a)),b))),bind(Z,$fot(difference(b,product(product(bigC(c,a,b),a),b))))]]) ).

cnf(refute_0_18846,plain,
    ( product(difference(b,product(bigC(c,a,b),a)),b) != difference(b,product(product(bigC(c,a,b),a),b))
    | difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = difference(b,product(product(bigC(c,a,b),a),b)) ),
    inference(resolve,[$cnf( $equal(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)),product(difference(b,product(bigC(c,a,b),a)),b)) )],[refute_0_18826,refute_0_18845]) ).

cnf(refute_0_18847,plain,
    difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) = difference(b,product(product(bigC(c,a,b),a),b)),
    inference(resolve,[$cnf( $equal(product(difference(b,product(bigC(c,a,b),a)),b),difference(b,product(product(bigC(c,a,b),a),b))) )],[refute_0_18844,refute_0_18846]) ).

cnf(refute_0_18848,plain,
    ( difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) != difference(b,product(product(bigC(c,a,b),a),b))
    | difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) != difference(product(b,a),product(a,c))
    | difference(b,product(product(bigC(c,a,b),a),b)) = difference(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)),difference(product(b,a),product(a,c))) ),[0],$fot(difference(b,product(product(bigC(c,a,b),a),b)))]]) ).

cnf(refute_0_18849,plain,
    ( difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)) != difference(product(b,a),product(a,c))
    | difference(b,product(product(bigC(c,a,b),a),b)) = difference(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)),difference(b,product(product(bigC(c,a,b),a),b))) )],[refute_0_18847,refute_0_18848]) ).

cnf(refute_0_18850,plain,
    difference(b,product(product(bigC(c,a,b),a),b)) = difference(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(b,bigC(b,difference(b,product(bigC(c,a,b),a)),b)),difference(product(b,a),product(a,c))) )],[refute_0_18843,refute_0_18849]) ).

cnf(refute_0_18851,plain,
    product(product(bigC(c,a,b),a),b) = product(product(bigC(c,a,b),a),b),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),a),b))]]) ).

cnf(refute_0_18852,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),b) != product(product(bigC(c,a,b),a),b)
    | product(product(bigC(c,a,b),a),b) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),a),b),product(product(bigC(c,a,b),a),b)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_18853,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(product(bigC(c,a,b),a),b) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),b),product(product(bigC(c,a,b),a),b)) )],[refute_0_18851,refute_0_18852]) ).

cnf(refute_0_18854,plain,
    product(product(bigC(c,a,b),a),b) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_18853]) ).

cnf(refute_0_18855,plain,
    ( product(product(bigC(c,a,b),a),b) != product(product(c,a),b)
    | product(product(c,a),b) != product(c,product(c,b))
    | product(product(bigC(c,a,b),a),b) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,a,b),a),b))),bind(Y,$fot(product(product(c,a),b))),bind(Z,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_18856,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(product(bigC(c,a,b),a),b) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),b),product(product(c,a),b)) )],[refute_0_18854,refute_0_18855]) ).

cnf(refute_0_18857,plain,
    product(product(bigC(c,a,b),a),b) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_18856]) ).

cnf(refute_0_18858,plain,
    difference(b,product(product(bigC(c,a,b),a),b)) = difference(b,product(product(bigC(c,a,b),a),b)),
    introduced(tautology,[refl,[$fot(difference(b,product(product(bigC(c,a,b),a),b)))]]) ).

cnf(refute_0_18859,plain,
    ( difference(b,product(product(bigC(c,a,b),a),b)) != difference(b,product(product(bigC(c,a,b),a),b))
    | product(product(bigC(c,a,b),a),b) != product(c,product(c,b))
    | difference(b,product(product(bigC(c,a,b),a),b)) = difference(b,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(product(bigC(c,a,b),a),b)),difference(b,product(product(bigC(c,a,b),a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_18860,plain,
    ( product(product(bigC(c,a,b),a),b) != product(c,product(c,b))
    | difference(b,product(product(bigC(c,a,b),a),b)) = difference(b,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(b,product(product(bigC(c,a,b),a),b)),difference(b,product(product(bigC(c,a,b),a),b))) )],[refute_0_18858,refute_0_18859]) ).

cnf(refute_0_18861,plain,
    difference(b,product(product(bigC(c,a,b),a),b)) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),a),b),product(c,product(c,b))) )],[refute_0_18857,refute_0_18860]) ).

cnf(refute_0_18862,plain,
    ( difference(b,product(product(bigC(c,a,b),a),b)) != difference(b,product(c,product(c,b)))
    | difference(b,product(product(bigC(c,a,b),a),b)) != difference(product(b,a),product(a,c))
    | difference(b,product(c,product(c,b))) = difference(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(product(bigC(c,a,b),a),b)),difference(product(b,a),product(a,c))) ),[0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18863,plain,
    ( difference(b,product(product(bigC(c,a,b),a),b)) != difference(product(b,a),product(a,c))
    | difference(b,product(c,product(c,b))) = difference(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(product(bigC(c,a,b),a),b)),difference(b,product(c,product(c,b)))) )],[refute_0_18861,refute_0_18862]) ).

cnf(refute_0_18864,plain,
    difference(b,product(c,product(c,b))) = difference(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(b,product(product(bigC(c,a,b),a),b)),difference(product(b,a),product(a,c))) )],[refute_0_18850,refute_0_18863]) ).

cnf(refute_0_18865,plain,
    ( difference(b,product(c,product(c,b))) != difference(product(b,a),product(a,c))
    | difference(product(b,a),product(a,c)) = difference(b,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,product(c,product(c,b))))),bind(Y,$fot(difference(product(b,a),product(a,c))))]]) ).

cnf(refute_0_18866,plain,
    difference(product(b,a),product(a,c)) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(b,product(c,product(c,b))),difference(product(b,a),product(a,c))) )],[refute_0_18864,refute_0_18865]) ).

cnf(refute_0_18867,plain,
    difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))))]]) ).

cnf(refute_0_18868,plain,
    ( difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a))))
    | difference(product(b,a),difference(product(b,c),product(b,a))) != product(a,c)
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(product(b,a),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_18869,plain,
    ( difference(product(b,a),difference(product(b,c),product(b,a))) != product(a,c)
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(product(b,a),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a))))) )],[refute_0_18867,refute_0_18868]) ).

cnf(refute_0_18870,plain,
    difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(product(b,a),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,c),product(b,a))),product(a,c)) )],[refute_0_11875,refute_0_18869]) ).

cnf(refute_0_18871,plain,
    ( difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != difference(product(b,a),product(a,c))
    | difference(product(b,a),product(a,c)) != difference(b,product(c,product(c,b)))
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(b,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))))),bind(Y,$fot(difference(product(b,a),product(a,c)))),bind(Z,$fot(difference(b,product(c,product(c,b)))))]]) ).

cnf(refute_0_18872,plain,
    ( difference(product(b,a),product(a,c)) != difference(b,product(c,product(c,b)))
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(b,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),difference(product(b,a),product(a,c))) )],[refute_0_18870,refute_0_18871]) ).

cnf(refute_0_18873,plain,
    difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(a,c)),difference(b,product(c,product(c,b)))) )],[refute_0_18866,refute_0_18872]) ).

cnf(refute_0_18874,plain,
    ( difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != difference(b,product(c,product(c,b)))
    | difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != quotient(product(c,b),product(b,a))
    | difference(b,product(c,product(c,b))) = quotient(product(c,b),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),quotient(product(c,b),product(b,a))) ),[0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18875,plain,
    ( difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))) != quotient(product(c,b),product(b,a))
    | difference(b,product(c,product(c,b))) = quotient(product(c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),difference(b,product(c,product(c,b)))) )],[refute_0_18873,refute_0_18874]) ).

cnf(refute_0_18876,plain,
    difference(b,product(c,product(c,b))) = quotient(product(c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(product(b,a),difference(product(b,c),product(b,a)))),quotient(product(c,b),product(b,a))) )],[refute_0_18825,refute_0_18875]) ).

cnf(refute_0_18877,plain,
    ( difference(b,product(c,product(c,b))) != quotient(product(c,b),product(b,a))
    | quotient(product(c,b),product(b,a)) = difference(b,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,product(c,product(c,b))))),bind(Y,$fot(quotient(product(c,b),product(b,a))))]]) ).

cnf(refute_0_18878,plain,
    quotient(product(c,b),product(b,a)) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(b,product(c,product(c,b))),quotient(product(c,b),product(b,a))) )],[refute_0_18876,refute_0_18877]) ).

cnf(refute_0_18879,plain,
    quotient(quotient(product(c,b),product(b,a)),product(c,b)) = quotient(quotient(product(c,b),product(b,a)),product(c,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(c,b),product(b,a)),product(c,b)))]]) ).

cnf(refute_0_18880,plain,
    ( quotient(product(c,b),product(b,a)) != difference(b,product(c,product(c,b)))
    | quotient(quotient(product(c,b),product(b,a)),product(c,b)) != quotient(quotient(product(c,b),product(b,a)),product(c,b))
    | quotient(quotient(product(c,b),product(b,a)),product(c,b)) = quotient(difference(b,product(c,product(c,b))),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,b),product(b,a)),product(c,b)),quotient(quotient(product(c,b),product(b,a)),product(c,b))) ),[1,0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18881,plain,
    ( quotient(product(c,b),product(b,a)) != difference(b,product(c,product(c,b)))
    | quotient(quotient(product(c,b),product(b,a)),product(c,b)) = quotient(difference(b,product(c,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,b),product(b,a)),product(c,b)),quotient(quotient(product(c,b),product(b,a)),product(c,b))) )],[refute_0_18879,refute_0_18880]) ).

cnf(refute_0_18882,plain,
    quotient(quotient(product(c,b),product(b,a)),product(c,b)) = quotient(difference(b,product(c,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(b,a)),difference(b,product(c,product(c,b)))) )],[refute_0_18878,refute_0_18881]) ).

cnf(refute_0_18883,plain,
    ( quotient(quotient(product(c,b),product(b,a)),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(quotient(product(c,b),product(b,a)),product(c,b)) != quotient(difference(b,product(c,product(c,b))),product(c,b))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,b),product(b,a)),product(c,b)),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) ),[0],$fot(quotient(difference(b,product(c,product(c,b))),product(c,b)))]]) ).

cnf(refute_0_18884,plain,
    ( quotient(quotient(product(c,b),product(b,a)),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,b),product(b,a)),product(c,b)),quotient(difference(b,product(c,product(c,b))),product(c,b))) )],[refute_0_18882,refute_0_18883]) ).

cnf(refute_0_18885,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | difference(product(c,b),product(b,a)) != quotient(product(a,c),product(c,b))
    | quotient(bigC(a,a,c),c) = quotient(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(product(a,c),product(c,b))) ),[0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_18886,plain,
    ( difference(product(c,b),product(b,a)) != quotient(product(a,c),product(c,b))
    | quotient(bigC(a,a,c),c) = quotient(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_18885]) ).

cnf(refute_0_18887,plain,
    quotient(bigC(a,a,c),c) = quotient(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(product(a,c),product(c,b))) )],[refute_0_9061,refute_0_18886]) ).

cnf(refute_0_18888,plain,
    ( quotient(bigC(a,a,c),c) != quotient(product(a,c),product(c,b))
    | quotient(product(a,c),product(c,b)) = quotient(bigC(a,a,c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(bigC(a,a,c),c))),bind(Y,$fot(quotient(product(a,c),product(c,b))))]]) ).

cnf(refute_0_18889,plain,
    quotient(product(a,c),product(c,b)) = quotient(bigC(a,a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),quotient(product(a,c),product(c,b))) )],[refute_0_18887,refute_0_18888]) ).

cnf(refute_0_18890,plain,
    ( product(quotient(product(a,c),product(c,b)),product(c,b)) != product(a,c)
    | quotient(product(a,c),product(c,b)) != quotient(bigC(a,a,c),c)
    | product(quotient(bigC(a,a,c),c),product(c,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(c,b)),product(a,c)) ),[0,0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_18891,plain,
    ( product(quotient(product(a,c),product(c,b)),product(c,b)) != product(a,c)
    | product(quotient(bigC(a,a,c),c),product(c,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),quotient(bigC(a,a,c),c)) )],[refute_0_18889,refute_0_18890]) ).

cnf(refute_0_18892,plain,
    product(quotient(bigC(a,a,c),c),product(c,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),product(c,b)),product(c,b)),product(a,c)) )],[refute_0_9034,refute_0_18891]) ).

cnf(refute_0_18893,plain,
    difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) = difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))))]]) ).

cnf(refute_0_18894,plain,
    ( difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | product(quotient(bigC(a,a,c),c),product(c,b)) != product(a,c)
    | difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) = difference(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_18895,plain,
    ( product(quotient(bigC(a,a,c),c),product(c,b)) != product(a,c)
    | difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) = difference(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) )],[refute_0_18893,refute_0_18894]) ).

cnf(refute_0_18896,plain,
    difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) = difference(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(a,a,c),c),product(c,b)),product(a,c)) )],[refute_0_18892,refute_0_18895]) ).

cnf(refute_0_18897,plain,
    ( difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))) != difference(product(c,b),product(a,c))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) = difference(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(b,product(c,product(c,b))),product(c,b)),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) ),[1],$fot(difference(product(c,b),product(a,c)))]]) ).

cnf(refute_0_18898,plain,
    ( quotient(difference(b,product(c,product(c,b))),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) = difference(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b))),difference(product(c,b),product(a,c))) )],[refute_0_18896,refute_0_18897]) ).

cnf(refute_0_18899,plain,
    ( quotient(quotient(product(c,b),product(b,a)),product(c,b)) != difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) = difference(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(b,product(c,product(c,b))),product(c,b)),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) )],[refute_0_18884,refute_0_18898]) ).

cnf(refute_0_18900,plain,
    quotient(difference(b,product(c,product(c,b))),product(c,b)) = difference(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,b),product(b,a)),product(c,b)),difference(product(c,b),product(quotient(bigC(a,a,c),c),product(c,b)))) )],[refute_0_18821,refute_0_18899]) ).

cnf(refute_0_18901,plain,
    ( product(quotient(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != difference(b,product(c,product(c,b)))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) != difference(product(c,b),product(a,c))
    | product(difference(product(c,b),product(a,c)),product(c,b)) = difference(b,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),difference(b,product(c,product(c,b)))) ),[0,0],$fot(difference(product(c,b),product(a,c)))]]) ).

cnf(refute_0_18902,plain,
    ( product(quotient(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != difference(b,product(c,product(c,b)))
    | product(difference(product(c,b),product(a,c)),product(c,b)) = difference(b,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(b,product(c,product(c,b))),product(c,b)),difference(product(c,b),product(a,c))) )],[refute_0_18900,refute_0_18901]) ).

cnf(refute_0_18903,plain,
    product(difference(product(c,b),product(a,c)),product(c,b)) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(quotient(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),difference(b,product(c,product(c,b)))) )],[refute_0_18813,refute_0_18902]) ).

cnf(refute_0_18904,plain,
    difference(product(c,b),product(product(a,c),product(c,b))) = difference(product(c,b),product(product(a,c),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),product(product(a,c),product(c,b))))]]) ).

cnf(refute_0_18905,plain,
    ( difference(product(c,b),product(product(a,c),product(c,b))) != difference(product(c,b),product(product(a,c),product(c,b)))
    | product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(c,b),product(product(a,c),product(c,b))) = difference(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(a,c),product(c,b))),difference(product(c,b),product(product(a,c),product(c,b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_18906,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | difference(product(c,b),product(product(a,c),product(c,b))) = difference(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(a,c),product(c,b))),difference(product(c,b),product(product(a,c),product(c,b)))) )],[refute_0_18904,refute_0_18905]) ).

cnf(refute_0_18907,plain,
    difference(product(c,b),product(product(a,c),product(c,b))) = difference(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_18906]) ).

cnf(refute_0_18908,plain,
    product(difference(product(c,b),product(a,c)),product(c,b)) = difference(product(c,b),product(product(a,c),product(c,b))),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(a,c))),bind(X_74,$fot(product(c,b)))]]) ).

cnf(refute_0_18909,plain,
    ( difference(product(c,b),product(product(a,c),product(c,b))) != difference(product(c,b),product(a,b))
    | product(difference(product(c,b),product(a,c)),product(c,b)) != difference(product(c,b),product(product(a,c),product(c,b)))
    | product(difference(product(c,b),product(a,c)),product(c,b)) = difference(product(c,b),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),product(a,c)),product(c,b)))),bind(Y,$fot(difference(product(c,b),product(product(a,c),product(c,b))))),bind(Z,$fot(difference(product(c,b),product(a,b))))]]) ).

cnf(refute_0_18910,plain,
    ( difference(product(c,b),product(product(a,c),product(c,b))) != difference(product(c,b),product(a,b))
    | product(difference(product(c,b),product(a,c)),product(c,b)) = difference(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(a,c)),product(c,b)),difference(product(c,b),product(product(a,c),product(c,b)))) )],[refute_0_18908,refute_0_18909]) ).

cnf(refute_0_18911,plain,
    product(difference(product(c,b),product(a,c)),product(c,b)) = difference(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(a,c),product(c,b))),difference(product(c,b),product(a,b))) )],[refute_0_18907,refute_0_18910]) ).

cnf(refute_0_18912,plain,
    ( product(difference(product(c,b),product(a,c)),product(c,b)) != difference(b,product(c,product(c,b)))
    | product(difference(product(c,b),product(a,c)),product(c,b)) != difference(product(c,b),product(a,b))
    | difference(product(c,b),product(a,b)) = difference(b,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),product(a,c)),product(c,b)),difference(b,product(c,product(c,b)))) ),[0],$fot(difference(product(c,b),product(a,b)))]]) ).

cnf(refute_0_18913,plain,
    ( product(difference(product(c,b),product(a,c)),product(c,b)) != difference(b,product(c,product(c,b)))
    | difference(product(c,b),product(a,b)) = difference(b,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(a,c)),product(c,b)),difference(product(c,b),product(a,b))) )],[refute_0_18911,refute_0_18912]) ).

cnf(refute_0_18914,plain,
    difference(product(c,b),product(a,b)) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(a,c)),product(c,b)),difference(b,product(c,product(c,b)))) )],[refute_0_18903,refute_0_18913]) ).

cnf(refute_0_18915,plain,
    ( difference(product(c,b),product(a,b)) != difference(b,product(c,product(c,b)))
    | difference(product(c,b),product(a,b)) != product(quotient(difference(b,c),a),c)
    | difference(b,product(c,product(c,b))) = product(quotient(difference(b,c),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(a,b)),product(quotient(difference(b,c),a),c)) ),[0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18916,plain,
    ( difference(product(c,b),product(a,b)) != product(quotient(difference(b,c),a),c)
    | difference(b,product(c,product(c,b))) = product(quotient(difference(b,c),a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(a,b)),difference(b,product(c,product(c,b)))) )],[refute_0_18914,refute_0_18915]) ).

cnf(refute_0_18917,plain,
    difference(b,product(c,product(c,b))) = product(quotient(difference(b,c),a),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(a,b)),product(quotient(difference(b,c),a),c)) )],[refute_0_18812,refute_0_18916]) ).

cnf(refute_0_18918,plain,
    ( difference(b,product(c,product(c,b))) != product(quotient(difference(b,c),a),c)
    | product(quotient(difference(b,c),a),c) = difference(b,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,product(c,product(c,b))))),bind(Y,$fot(product(quotient(difference(b,c),a),c)))]]) ).

cnf(refute_0_18919,plain,
    product(quotient(difference(b,c),a),c) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(b,product(c,product(c,b))),product(quotient(difference(b,c),a),c)) )],[refute_0_18917,refute_0_18918]) ).

cnf(refute_0_18920,plain,
    ( product(quotient(difference(b,c),a),c) != difference(b,product(c,product(c,b)))
    | product(quotient(difference(b,c),a),c) != difference(c,product(a,product(c,b)))
    | difference(b,product(c,product(c,b))) = difference(c,product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(difference(b,c),a),c),difference(c,product(a,product(c,b)))) ),[0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18921,plain,
    ( product(quotient(difference(b,c),a),c) != difference(c,product(a,product(c,b)))
    | difference(b,product(c,product(c,b))) = difference(c,product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(quotient(difference(b,c),a),c),difference(b,product(c,product(c,b)))) )],[refute_0_18919,refute_0_18920]) ).

cnf(refute_0_18922,plain,
    difference(b,product(c,product(c,b))) = difference(c,product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(quotient(difference(b,c),a),c),difference(c,product(a,product(c,b)))) )],[refute_0_16656,refute_0_18921]) ).

cnf(refute_0_18923,plain,
    ( difference(b,product(c,product(c,b))) != difference(c,product(a,product(c,b)))
    | difference(c,product(a,product(c,b))) = difference(b,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,product(c,product(c,b))))),bind(Y,$fot(difference(c,product(a,product(c,b)))))]]) ).

cnf(refute_0_18924,plain,
    difference(c,product(a,product(c,b))) = difference(b,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(b,product(c,product(c,b))),difference(c,product(a,product(c,b)))) )],[refute_0_18922,refute_0_18923]) ).

cnf(refute_0_18925,plain,
    product(difference(c,product(a,product(c,b))),product(B,D)) = product(difference(c,product(a,product(c,b))),product(B,D)),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,product(c,b))),product(B,D)))]]) ).

cnf(refute_0_18926,plain,
    ( difference(c,product(a,product(c,b))) != difference(b,product(c,product(c,b)))
    | product(difference(c,product(a,product(c,b))),product(B,D)) != product(difference(c,product(a,product(c,b))),product(B,D))
    | product(difference(c,product(a,product(c,b))),product(B,D)) = product(difference(b,product(c,product(c,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(B,D)),product(difference(c,product(a,product(c,b))),product(B,D))) ),[1,0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18927,plain,
    ( difference(c,product(a,product(c,b))) != difference(b,product(c,product(c,b)))
    | product(difference(c,product(a,product(c,b))),product(B,D)) = product(difference(b,product(c,product(c,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(B,D)),product(difference(c,product(a,product(c,b))),product(B,D))) )],[refute_0_18925,refute_0_18926]) ).

cnf(refute_0_18928,plain,
    product(difference(c,product(a,product(c,b))),product(B,D)) = product(difference(b,product(c,product(c,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,product(c,b))),difference(b,product(c,product(c,b)))) )],[refute_0_18924,refute_0_18927]) ).

cnf(refute_0_18929,plain,
    ( product(difference(c,product(a,product(c,b))),product(B,D)) != product(difference(b,product(c,product(c,b))),product(B,D))
    | product(product(difference(b,c),B),product(quotient(c,a),D)) != product(difference(c,product(a,product(c,b))),product(B,D))
    | product(product(difference(b,c),B),product(quotient(c,a),D)) = product(difference(b,product(c,product(c,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),B),product(quotient(c,a),D)),product(difference(c,product(a,product(c,b))),product(B,D))) ),[1],$fot(product(difference(b,product(c,product(c,b))),product(B,D)))]]) ).

cnf(refute_0_18930,plain,
    ( product(product(difference(b,c),B),product(quotient(c,a),D)) != product(difference(c,product(a,product(c,b))),product(B,D))
    | product(product(difference(b,c),B),product(quotient(c,a),D)) = product(difference(b,product(c,product(c,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,product(c,b))),product(B,D)),product(difference(b,product(c,product(c,b))),product(B,D))) )],[refute_0_18928,refute_0_18929]) ).

cnf(refute_0_18931,plain,
    product(product(difference(b,c),B),product(quotient(c,a),D)) = product(difference(b,product(c,product(c,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(quotient(c,a),D)),product(difference(c,product(a,product(c,b))),product(B,D))) )],[refute_0_16647,refute_0_18930]) ).

cnf(refute_0_18932,plain,
    ( product(product(difference(b,c),B),product(quotient(c,a),D)) != product(difference(b,product(c,product(c,b))),product(B,D))
    | product(difference(b,product(c,product(c,b))),product(B,D)) = product(product(difference(b,c),B),product(quotient(c,a),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(difference(b,c),B),product(quotient(c,a),D)))),bind(Y,$fot(product(difference(b,product(c,product(c,b))),product(B,D))))]]) ).

cnf(refute_0_18933,plain,
    product(difference(b,product(c,product(c,b))),product(B,D)) = product(product(difference(b,c),B),product(quotient(c,a),D)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),B),product(quotient(c,a),D)),product(difference(b,product(c,product(c,b))),product(B,D))) )],[refute_0_18931,refute_0_18932]) ).

cnf(refute_0_18934,plain,
    product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a))) = product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),
    inference(subst,[],[refute_0_18933:[bind(B,$fot(a)),bind(D,$fot(quotient(difference(b,c),a)))]]) ).

cnf(refute_0_18935,plain,
    product(product(quotient(difference(b,c),a),B),product(c,D)) = product(product(quotient(difference(b,c),a),c),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(quotient(difference(b,c),a))),bind(C,$fot(c))]]) ).

cnf(refute_0_18936,plain,
    ( product(product(quotient(difference(b,c),a),B),product(c,D)) != product(product(quotient(difference(b,c),a),c),product(B,D))
    | product(quotient(difference(b,c),a),c) != difference(b,product(c,product(c,b)))
    | product(product(quotient(difference(b,c),a),B),product(c,D)) = product(difference(b,product(c,product(c,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(difference(b,c),a),B),product(c,D)),product(product(quotient(difference(b,c),a),c),product(B,D))) ),[1,0],$fot(difference(b,product(c,product(c,b))))]]) ).

cnf(refute_0_18937,plain,
    ( product(product(quotient(difference(b,c),a),B),product(c,D)) != product(product(quotient(difference(b,c),a),c),product(B,D))
    | product(product(quotient(difference(b,c),a),B),product(c,D)) = product(difference(b,product(c,product(c,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(quotient(difference(b,c),a),c),difference(b,product(c,product(c,b)))) )],[refute_0_18919,refute_0_18936]) ).

cnf(refute_0_18938,plain,
    product(product(quotient(difference(b,c),a),B),product(c,D)) = product(difference(b,product(c,product(c,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(b,c),a),B),product(c,D)),product(product(quotient(difference(b,c),a),c),product(B,D))) )],[refute_0_18935,refute_0_18937]) ).

cnf(refute_0_18939,plain,
    product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a))),
    inference(subst,[],[refute_0_18938:[bind(B,$fot(a)),bind(D,$fot(quotient(difference(b,c),a)))]]) ).

cnf(refute_0_18940,plain,
    ( product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a))) != product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) != product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a)))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))))),bind(Y,$fot(product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a))))),bind(Z,$fot(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))))]]) ).

cnf(refute_0_18941,plain,
    ( product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a))) != product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))),product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a)))) )],[refute_0_18939,refute_0_18940]) ).

cnf(refute_0_18942,plain,
    product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,product(c,b))),product(a,quotient(difference(b,c),a))),product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))) )],[refute_0_18934,refute_0_18941]) ).

cnf(refute_0_18943,plain,
    ( product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) != product(a,product(a,b))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) != product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(a,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))))),bind(Y,$fot(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))))),bind(Z,$fot(product(a,product(a,b))))]]) ).

cnf(refute_0_18944,plain,
    ( product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))) != product(a,product(a,b))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))),product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a)))) )],[refute_0_18942,refute_0_18943]) ).

cnf(refute_0_18945,plain,
    product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(quotient(c,a),quotient(difference(b,c),a))),product(a,product(a,b))) )],[refute_0_16632,refute_0_18944]) ).

cnf(refute_0_18946,plain,
    ( bigC(a,a,difference(c,difference(b,c))) != product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))
    | product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))) != product(a,product(a,b))
    | bigC(a,a,difference(c,difference(b,c))) = product(a,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,difference(c,difference(b,c))),product(a,product(a,b))) ),[0],$fot(product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))))]]) ).

cnf(refute_0_18947,plain,
    ( bigC(a,a,difference(c,difference(b,c))) != product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))
    | bigC(a,a,difference(c,difference(b,c))) = product(a,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a))),product(a,product(a,b))) )],[refute_0_18945,refute_0_18946]) ).

cnf(refute_0_18948,plain,
    bigC(a,a,difference(c,difference(b,c))) = product(a,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(b,c))),product(product(quotient(difference(b,c),a),a),product(c,quotient(difference(b,c),a)))) )],[refute_0_16342,refute_0_18947]) ).

cnf(refute_0_18949,plain,
    ( bigC(a,a,difference(c,difference(b,c))) != product(a,product(a,b))
    | quotient(bigC(a,a,difference(c,difference(b,c))),a) != product(a,difference(c,difference(b,c)))
    | quotient(product(a,product(a,b)),a) = product(a,difference(c,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,a,difference(c,difference(b,c))),a),product(a,difference(c,difference(b,c)))) ),[0,0],$fot(product(a,product(a,b)))]]) ).

cnf(refute_0_18950,plain,
    ( quotient(bigC(a,a,difference(c,difference(b,c))),a) != product(a,difference(c,difference(b,c)))
    | quotient(product(a,product(a,b)),a) = product(a,difference(c,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(b,c))),product(a,product(a,b))) )],[refute_0_18948,refute_0_18949]) ).

cnf(refute_0_18951,plain,
    quotient(product(a,product(a,b)),a) = product(a,difference(c,difference(b,c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,difference(c,difference(b,c))),a),product(a,difference(c,difference(b,c)))) )],[refute_0_739,refute_0_18950]) ).

cnf(refute_0_18952,plain,
    product(a,product(a,quotient(b,a))) = difference(product(b,a),a),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(b)),bind(X_20,$fot(a))]]) ).

cnf(refute_0_18953,plain,
    quotient(product(a,b),a) = product(a,quotient(b,a)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(b)),bind(X_85,$fot(a))]]) ).

cnf(refute_0_18954,plain,
    product(a,quotient(product(a,b),a)) = product(a,quotient(product(a,b),a)),
    introduced(tautology,[refl,[$fot(product(a,quotient(product(a,b),a)))]]) ).

cnf(refute_0_18955,plain,
    ( product(a,quotient(product(a,b),a)) != product(a,quotient(product(a,b),a))
    | quotient(product(a,b),a) != product(a,quotient(b,a))
    | product(a,quotient(product(a,b),a)) = product(a,product(a,quotient(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,quotient(product(a,b),a)),product(a,quotient(product(a,b),a))) ),[1,1],$fot(product(a,quotient(b,a)))]]) ).

cnf(refute_0_18956,plain,
    ( quotient(product(a,b),a) != product(a,quotient(b,a))
    | product(a,quotient(product(a,b),a)) = product(a,product(a,quotient(b,a))) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,b),a)),product(a,quotient(product(a,b),a))) )],[refute_0_18954,refute_0_18955]) ).

cnf(refute_0_18957,plain,
    product(a,quotient(product(a,b),a)) = product(a,product(a,quotient(b,a))),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),a),product(a,quotient(b,a))) )],[refute_0_18953,refute_0_18956]) ).

cnf(refute_0_18958,plain,
    ( product(a,product(a,quotient(b,a))) != difference(product(b,a),a)
    | product(a,quotient(product(a,b),a)) != product(a,product(a,quotient(b,a)))
    | product(a,quotient(product(a,b),a)) = difference(product(b,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(a,quotient(product(a,b),a)))),bind(Y,$fot(product(a,product(a,quotient(b,a))))),bind(Z,$fot(difference(product(b,a),a)))]]) ).

cnf(refute_0_18959,plain,
    ( product(a,product(a,quotient(b,a))) != difference(product(b,a),a)
    | product(a,quotient(product(a,b),a)) = difference(product(b,a),a) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,b),a)),product(a,product(a,quotient(b,a)))) )],[refute_0_18957,refute_0_18958]) ).

cnf(refute_0_18960,plain,
    product(a,quotient(product(a,b),a)) = difference(product(b,a),a),
    inference(resolve,[$cnf( $equal(product(a,product(a,quotient(b,a))),difference(product(b,a),a)) )],[refute_0_18952,refute_0_18959]) ).

cnf(refute_0_18961,plain,
    quotient(product(a,product(a,b)),a) = product(a,quotient(product(a,b),a)),
    inference(subst,[],[refute_0_1925:[bind(A,$fot(product(a,b))),bind(X_85,$fot(a))]]) ).

cnf(refute_0_18962,plain,
    ( product(a,quotient(product(a,b),a)) != difference(product(b,a),a)
    | quotient(product(a,product(a,b)),a) != product(a,quotient(product(a,b),a))
    | quotient(product(a,product(a,b)),a) = difference(product(b,a),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(a,product(a,b)),a))),bind(Y,$fot(product(a,quotient(product(a,b),a)))),bind(Z,$fot(difference(product(b,a),a)))]]) ).

cnf(refute_0_18963,plain,
    ( product(a,quotient(product(a,b),a)) != difference(product(b,a),a)
    | quotient(product(a,product(a,b)),a) = difference(product(b,a),a) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,b)),a),product(a,quotient(product(a,b),a))) )],[refute_0_18961,refute_0_18962]) ).

cnf(refute_0_18964,plain,
    quotient(product(a,product(a,b)),a) = difference(product(b,a),a),
    inference(resolve,[$cnf( $equal(product(a,quotient(product(a,b),a)),difference(product(b,a),a)) )],[refute_0_18960,refute_0_18963]) ).

cnf(refute_0_18965,plain,
    ( quotient(product(a,product(a,b)),a) != difference(product(b,a),a)
    | quotient(product(a,product(a,b)),a) != product(a,difference(c,difference(b,c)))
    | difference(product(b,a),a) = product(a,difference(c,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,product(a,b)),a),product(a,difference(c,difference(b,c)))) ),[0],$fot(difference(product(b,a),a))]]) ).

cnf(refute_0_18966,plain,
    ( quotient(product(a,product(a,b)),a) != product(a,difference(c,difference(b,c)))
    | difference(product(b,a),a) = product(a,difference(c,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,b)),a),difference(product(b,a),a)) )],[refute_0_18964,refute_0_18965]) ).

cnf(refute_0_18967,plain,
    difference(product(b,a),a) = product(a,difference(c,difference(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(a,b)),a),product(a,difference(c,difference(b,c)))) )],[refute_0_18951,refute_0_18966]) ).

cnf(refute_0_18968,plain,
    ( difference(product(b,a),a) != product(a,difference(c,difference(b,c)))
    | product(a,difference(c,difference(b,c))) = difference(product(b,a),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,a),a))),bind(Y,$fot(product(a,difference(c,difference(b,c)))))]]) ).

cnf(refute_0_18969,plain,
    product(a,difference(c,difference(b,c))) = difference(product(b,a),a),
    inference(resolve,[$cnf( $equal(difference(product(b,a),a),product(a,difference(c,difference(b,c)))) )],[refute_0_18967,refute_0_18968]) ).

cnf(refute_0_18970,plain,
    ( product(a,difference(c,difference(b,c))) != difference(product(b,a),a)
    | quotient(product(product(a,difference(c,difference(b,c))),c),product(difference(c,difference(b,c)),product(a,b))) != product(a,product(b,c))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,difference(c,difference(b,c))),c),product(difference(c,difference(b,c)),product(a,b))),product(a,product(b,c))) ),[0,0,0],$fot(difference(product(b,a),a))]]) ).

cnf(refute_0_18971,plain,
    ( quotient(product(product(a,difference(c,difference(b,c))),c),product(difference(c,difference(b,c)),product(a,b))) != product(a,product(b,c))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,difference(b,c))),difference(product(b,a),a)) )],[refute_0_18969,refute_0_18970]) ).

cnf(refute_0_18972,plain,
    quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,difference(c,difference(b,c))),c),product(difference(c,difference(b,c)),product(a,b))),product(a,product(b,c))) )],[refute_0_726,refute_0_18971]) ).

cnf(refute_0_18973,plain,
    product(product(a,a),product(quotient(b,a),b)) = product(product(a,a),product(quotient(b,a),b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(quotient(b,a),b)))]]) ).

cnf(refute_0_18974,plain,
    ( product(a,a) != a
    | product(product(a,a),product(quotient(b,a),b)) != product(product(a,a),product(quotient(b,a),b))
    | product(product(a,a),product(quotient(b,a),b)) = product(a,product(quotient(b,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(quotient(b,a),b)),product(product(a,a),product(quotient(b,a),b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_18975,plain,
    ( product(a,a) != a
    | product(product(a,a),product(quotient(b,a),b)) = product(a,product(quotient(b,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(quotient(b,a),b)),product(product(a,a),product(quotient(b,a),b))) )],[refute_0_18973,refute_0_18974]) ).

cnf(refute_0_18976,plain,
    product(product(a,a),product(quotient(b,a),b)) = product(a,product(quotient(b,a),b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_18975]) ).

cnf(refute_0_18977,plain,
    product(product(a,B),product(quotient(b,a),D)) = product(product(a,quotient(b,a)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(C,$fot(quotient(b,a)))]]) ).

cnf(refute_0_18978,plain,
    quotient(product(difference(c,difference(b,c)),a),a) = difference(c,difference(b,c)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(c,difference(b,c)))),bind(B,$fot(a))]]) ).

cnf(refute_0_18979,plain,
    difference(a,bigC(a,a,difference(c,difference(b,c)))) = product(difference(c,difference(b,c)),a),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(a)),bind(X_37,$fot(difference(c,difference(b,c))))]]) ).

cnf(refute_0_18980,plain,
    ( bigC(a,a,difference(c,difference(b,c))) != product(a,product(a,b))
    | difference(a,bigC(a,a,difference(c,difference(b,c)))) != product(difference(c,difference(b,c)),a)
    | difference(a,product(a,product(a,b))) = product(difference(c,difference(b,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,bigC(a,a,difference(c,difference(b,c)))),product(difference(c,difference(b,c)),a)) ),[0,1],$fot(product(a,product(a,b)))]]) ).

cnf(refute_0_18981,plain,
    ( difference(a,bigC(a,a,difference(c,difference(b,c)))) != product(difference(c,difference(b,c)),a)
    | difference(a,product(a,product(a,b))) = product(difference(c,difference(b,c)),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,difference(b,c))),product(a,product(a,b))) )],[refute_0_18948,refute_0_18980]) ).

cnf(refute_0_18982,plain,
    difference(a,product(a,product(a,b))) = product(difference(c,difference(b,c)),a),
    inference(resolve,[$cnf( $equal(difference(a,bigC(a,a,difference(c,difference(b,c)))),product(difference(c,difference(b,c)),a)) )],[refute_0_18979,refute_0_18981]) ).

cnf(refute_0_18983,plain,
    difference(a,product(a,product(a,b))) = product(a,b),
    inference(subst,[],[sos01:[bind(A,$fot(a)),bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_18984,plain,
    ( difference(a,product(a,product(a,b))) != product(a,b)
    | difference(a,product(a,product(a,b))) != product(difference(c,difference(b,c)),a)
    | product(a,b) = product(difference(c,difference(b,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(a,product(a,product(a,b))),product(difference(c,difference(b,c)),a)) ),[0],$fot(product(a,b))]]) ).

cnf(refute_0_18985,plain,
    ( difference(a,product(a,product(a,b))) != product(difference(c,difference(b,c)),a)
    | product(a,b) = product(difference(c,difference(b,c)),a) ),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(a,b))),product(a,b)) )],[refute_0_18983,refute_0_18984]) ).

cnf(refute_0_18986,plain,
    product(a,b) = product(difference(c,difference(b,c)),a),
    inference(resolve,[$cnf( $equal(difference(a,product(a,product(a,b))),product(difference(c,difference(b,c)),a)) )],[refute_0_18982,refute_0_18985]) ).

cnf(refute_0_18987,plain,
    ( product(a,b) != product(difference(c,difference(b,c)),a)
    | product(difference(c,difference(b,c)),a) = product(a,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,b))),bind(Y,$fot(product(difference(c,difference(b,c)),a)))]]) ).

cnf(refute_0_18988,plain,
    product(difference(c,difference(b,c)),a) = product(a,b),
    inference(resolve,[$cnf( $equal(product(a,b),product(difference(c,difference(b,c)),a)) )],[refute_0_18986,refute_0_18987]) ).

cnf(refute_0_18989,plain,
    ( product(difference(c,difference(b,c)),a) != product(a,b)
    | quotient(product(difference(c,difference(b,c)),a),a) != difference(c,difference(b,c))
    | quotient(product(a,b),a) = difference(c,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(c,difference(b,c)),a),a),difference(c,difference(b,c))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_18990,plain,
    ( quotient(product(difference(c,difference(b,c)),a),a) != difference(c,difference(b,c))
    | quotient(product(a,b),a) = difference(c,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(b,c)),a),product(a,b)) )],[refute_0_18988,refute_0_18989]) ).

cnf(refute_0_18991,plain,
    quotient(product(a,b),a) = difference(c,difference(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(c,difference(b,c)),a),a),difference(c,difference(b,c))) )],[refute_0_18978,refute_0_18990]) ).

cnf(refute_0_18992,plain,
    ( quotient(product(a,b),a) != difference(c,difference(b,c))
    | quotient(product(a,b),a) != product(a,quotient(b,a))
    | product(a,quotient(b,a)) = difference(c,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,b),a),difference(c,difference(b,c))) ),[0],$fot(product(a,quotient(b,a)))]]) ).

cnf(refute_0_18993,plain,
    ( quotient(product(a,b),a) != difference(c,difference(b,c))
    | product(a,quotient(b,a)) = difference(c,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),a),product(a,quotient(b,a))) )],[refute_0_18953,refute_0_18992]) ).

cnf(refute_0_18994,plain,
    product(a,quotient(b,a)) = difference(c,difference(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),a),difference(c,difference(b,c))) )],[refute_0_18991,refute_0_18993]) ).

cnf(refute_0_18995,plain,
    ( product(a,quotient(b,a)) != difference(c,difference(b,c))
    | product(product(a,B),product(quotient(b,a),D)) != product(product(a,quotient(b,a)),product(B,D))
    | product(product(a,B),product(quotient(b,a),D)) = product(difference(c,difference(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(quotient(b,a),D)),product(product(a,quotient(b,a)),product(B,D))) ),[1,0],$fot(difference(c,difference(b,c)))]]) ).

cnf(refute_0_18996,plain,
    ( product(product(a,B),product(quotient(b,a),D)) != product(product(a,quotient(b,a)),product(B,D))
    | product(product(a,B),product(quotient(b,a),D)) = product(difference(c,difference(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(b,a)),difference(c,difference(b,c))) )],[refute_0_18994,refute_0_18995]) ).

cnf(refute_0_18997,plain,
    product(product(a,B),product(quotient(b,a),D)) = product(difference(c,difference(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(quotient(b,a),D)),product(product(a,quotient(b,a)),product(B,D))) )],[refute_0_18977,refute_0_18996]) ).

cnf(refute_0_18998,plain,
    ( product(product(a,B),product(quotient(b,a),D)) != product(difference(c,difference(b,c)),product(B,D))
    | product(difference(c,difference(b,c)),product(B,D)) = product(product(a,B),product(quotient(b,a),D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,B),product(quotient(b,a),D)))),bind(Y,$fot(product(difference(c,difference(b,c)),product(B,D))))]]) ).

cnf(refute_0_18999,plain,
    product(difference(c,difference(b,c)),product(B,D)) = product(product(a,B),product(quotient(b,a),D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(quotient(b,a),D)),product(difference(c,difference(b,c)),product(B,D))) )],[refute_0_18997,refute_0_18998]) ).

cnf(refute_0_19000,plain,
    product(difference(c,difference(b,c)),product(a,b)) = product(product(a,a),product(quotient(b,a),b)),
    inference(subst,[],[refute_0_18999:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_19001,plain,
    ( product(difference(c,difference(b,c)),product(a,b)) != product(product(a,a),product(quotient(b,a),b))
    | product(product(a,a),product(quotient(b,a),b)) != product(a,product(quotient(b,a),b))
    | product(difference(c,difference(b,c)),product(a,b)) = product(a,product(quotient(b,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,difference(b,c)),product(a,b)))),bind(Y,$fot(product(product(a,a),product(quotient(b,a),b)))),bind(Z,$fot(product(a,product(quotient(b,a),b))))]]) ).

cnf(refute_0_19002,plain,
    ( product(product(a,a),product(quotient(b,a),b)) != product(a,product(quotient(b,a),b))
    | product(difference(c,difference(b,c)),product(a,b)) = product(a,product(quotient(b,a),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(b,c)),product(a,b)),product(product(a,a),product(quotient(b,a),b))) )],[refute_0_19000,refute_0_19001]) ).

cnf(refute_0_19003,plain,
    product(difference(c,difference(b,c)),product(a,b)) = product(a,product(quotient(b,a),b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(quotient(b,a),b)),product(a,product(quotient(b,a),b))) )],[refute_0_18976,refute_0_19002]) ).

cnf(refute_0_19004,plain,
    quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))))]]) ).

cnf(refute_0_19005,plain,
    ( product(difference(c,difference(b,c)),product(a,b)) != product(a,product(quotient(b,a),b))
    | quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) != quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b)))
    | quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b)))) ),[1,1],$fot(product(a,product(quotient(b,a),b)))]]) ).

cnf(refute_0_19006,plain,
    ( product(difference(c,difference(b,c)),product(a,b)) != product(a,product(quotient(b,a),b))
    | quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b)))) )],[refute_0_19004,refute_0_19005]) ).

cnf(refute_0_19007,plain,
    quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(b,c)),product(a,b)),product(a,product(quotient(b,a),b))) )],[refute_0_19003,refute_0_19006]) ).

cnf(refute_0_19008,plain,
    bigC(product(a,b),product(a,c),X_45) = bigC(product(a,b),X_45,product(a,c)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(product(a,b))),bind(B,$fot(product(a,c))),bind(C,$fot(X_45))]]) ).

cnf(refute_0_19009,plain,
    ( bigC(product(a,b),product(a,c),X_45) != bigC(product(a,b),X_45,product(a,c))
    | bigC(product(a,b),product(a,c),X_45) != product(product(a,X_45),bigC(b,a,c))
    | bigC(product(a,b),X_45,product(a,c)) = product(product(a,X_45),bigC(b,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),product(a,c),X_45),product(product(a,X_45),bigC(b,a,c))) ),[0],$fot(bigC(product(a,b),X_45,product(a,c)))]]) ).

cnf(refute_0_19010,plain,
    ( bigC(product(a,b),product(a,c),X_45) != product(product(a,X_45),bigC(b,a,c))
    | bigC(product(a,b),X_45,product(a,c)) = product(product(a,X_45),bigC(b,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),X_45),bigC(product(a,b),X_45,product(a,c))) )],[refute_0_19008,refute_0_19009]) ).

cnf(refute_0_19011,plain,
    bigC(product(a,b),X_45,product(a,c)) = product(product(a,X_45),bigC(b,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(a,c),X_45),product(product(a,X_45),bigC(b,a,c))) )],[refute_0_153,refute_0_19010]) ).

cnf(refute_0_19012,plain,
    product(product(a,X_45),bigC(b,a,c)) = product(product(a,X_45),bigC(b,a,c)),
    introduced(tautology,[refl,[$fot(product(product(a,X_45),bigC(b,a,c)))]]) ).

cnf(refute_0_19013,plain,
    ( bigC(b,a,c) != c
    | product(product(a,X_45),bigC(b,a,c)) != product(product(a,X_45),bigC(b,a,c))
    | product(product(a,X_45),bigC(b,a,c)) = product(product(a,X_45),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,X_45),bigC(b,a,c)),product(product(a,X_45),bigC(b,a,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_19014,plain,
    ( bigC(b,a,c) != c
    | product(product(a,X_45),bigC(b,a,c)) = product(product(a,X_45),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_45),bigC(b,a,c)),product(product(a,X_45),bigC(b,a,c))) )],[refute_0_19012,refute_0_19013]) ).

cnf(refute_0_19015,plain,
    product(product(a,X_45),bigC(b,a,c)) = product(product(a,X_45),c),
    inference(resolve,[$cnf( $equal(bigC(b,a,c),c) )],[refute_0_714,refute_0_19014]) ).

cnf(refute_0_19016,plain,
    ( bigC(product(a,b),X_45,product(a,c)) != product(product(a,X_45),bigC(b,a,c))
    | product(product(a,X_45),bigC(b,a,c)) != product(product(a,X_45),c)
    | bigC(product(a,b),X_45,product(a,c)) = product(product(a,X_45),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_45,product(a,c)),product(product(a,X_45),c)) ),[0],$fot(product(product(a,X_45),bigC(b,a,c)))]]) ).

cnf(refute_0_19017,plain,
    ( bigC(product(a,b),X_45,product(a,c)) != product(product(a,X_45),bigC(b,a,c))
    | bigC(product(a,b),X_45,product(a,c)) = product(product(a,X_45),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_45),bigC(b,a,c)),product(product(a,X_45),c)) )],[refute_0_19015,refute_0_19016]) ).

cnf(refute_0_19018,plain,
    bigC(product(a,b),X_45,product(a,c)) = product(product(a,X_45),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_45,product(a,c)),product(product(a,X_45),bigC(b,a,c))) )],[refute_0_19011,refute_0_19017]) ).

cnf(refute_0_19019,plain,
    bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(product(a,difference(c,difference(b,c))),c),
    inference(subst,[],[refute_0_19018:[bind(X_45,$fot(difference(c,difference(b,c))))]]) ).

cnf(refute_0_19020,plain,
    ( bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) != product(product(a,difference(c,difference(b,c))),c)
    | product(a,difference(c,difference(b,c))) != difference(product(b,a),a)
    | bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(difference(product(b,a),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)),product(product(a,difference(c,difference(b,c))),c)) ),[1,0],$fot(difference(product(b,a),a))]]) ).

cnf(refute_0_19021,plain,
    ( bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) != product(product(a,difference(c,difference(b,c))),c)
    | bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(difference(product(b,a),a),c) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,difference(b,c))),difference(product(b,a),a)) )],[refute_0_18969,refute_0_19020]) ).

cnf(refute_0_19022,plain,
    bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(difference(product(b,a),a),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)),product(product(a,difference(c,difference(b,c))),c)) )],[refute_0_19019,refute_0_19021]) ).

cnf(refute_0_19023,plain,
    product(product(a,difference(c,difference(b,c))),c) = product(difference(b,c),product(a,b)),
    inference(subst,[],[refute_0_16366:[bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_19024,plain,
    ( bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) != product(product(a,difference(c,difference(b,c))),c)
    | product(product(a,difference(c,difference(b,c))),c) != product(difference(b,c),product(a,b))
    | bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(difference(b,c),product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)))),bind(Y,$fot(product(product(a,difference(c,difference(b,c))),c))),bind(Z,$fot(product(difference(b,c),product(a,b))))]]) ).

cnf(refute_0_19025,plain,
    ( product(product(a,difference(c,difference(b,c))),c) != product(difference(b,c),product(a,b))
    | bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(difference(b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)),product(product(a,difference(c,difference(b,c))),c)) )],[refute_0_19019,refute_0_19024]) ).

cnf(refute_0_19026,plain,
    bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) = product(difference(b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,difference(c,difference(b,c))),c),product(difference(b,c),product(a,b))) )],[refute_0_19023,refute_0_19025]) ).

cnf(refute_0_19027,plain,
    ( bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) != product(difference(b,c),product(a,b))
    | bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) != product(difference(product(b,a),a),c)
    | product(difference(b,c),product(a,b)) = product(difference(product(b,a),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)),product(difference(product(b,a),a),c)) ),[0],$fot(product(difference(b,c),product(a,b)))]]) ).

cnf(refute_0_19028,plain,
    ( bigC(product(a,b),difference(c,difference(b,c)),product(a,c)) != product(difference(product(b,a),a),c)
    | product(difference(b,c),product(a,b)) = product(difference(product(b,a),a),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)),product(difference(b,c),product(a,b))) )],[refute_0_19026,refute_0_19027]) ).

cnf(refute_0_19029,plain,
    product(difference(b,c),product(a,b)) = product(difference(product(b,a),a),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(c,difference(b,c)),product(a,c)),product(difference(product(b,a),a),c)) )],[refute_0_19022,refute_0_19028]) ).

cnf(refute_0_19030,plain,
    ( product(difference(b,c),product(a,b)) != product(difference(product(b,a),a),c)
    | product(difference(product(b,a),a),c) = product(difference(b,c),product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(difference(b,c),product(a,b)))),bind(Y,$fot(product(difference(product(b,a),a),c)))]]) ).

cnf(refute_0_19031,plain,
    product(difference(product(b,a),a),c) = product(difference(b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,b)),product(difference(product(b,a),a),c)) )],[refute_0_19029,refute_0_19030]) ).

cnf(refute_0_19032,plain,
    quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),
    introduced(tautology,[refl,[$fot(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))))]]) ).

cnf(refute_0_19033,plain,
    ( product(difference(product(b,a),a),c) != product(difference(b,c),product(a,b))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) != quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b)))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b)))) ),[1,0],$fot(product(difference(b,c),product(a,b)))]]) ).

cnf(refute_0_19034,plain,
    ( product(difference(product(b,a),a),c) != product(difference(b,c),product(a,b))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b)))) )],[refute_0_19032,refute_0_19033]) ).

cnf(refute_0_19035,plain,
    quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),a),c),product(difference(b,c),product(a,b))) )],[refute_0_19031,refute_0_19034]) ).

cnf(refute_0_19036,plain,
    ( quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) != quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b)))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) != quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b)))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))))),bind(Y,$fot(quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))))),bind(Z,$fot(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b)))))]]) ).

cnf(refute_0_19037,plain,
    ( quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))) != quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b)))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b)))) )],[refute_0_19035,refute_0_19036]) ).

cnf(refute_0_19038,plain,
    quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) = quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),
    inference(resolve,[$cnf( $equal(quotient(product(difference(b,c),product(a,b)),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b)))) )],[refute_0_19007,refute_0_19037]) ).

cnf(refute_0_19039,plain,
    ( quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) != product(a,product(b,c))
    | quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) != quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b)))
    | quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),product(a,product(b,c))) ),[0],$fot(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))))]]) ).

cnf(refute_0_19040,plain,
    ( quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))) != product(a,product(b,c))
    | quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b)))) )],[refute_0_19038,refute_0_19039]) ).

cnf(refute_0_19041,plain,
    quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(b,a),a),c),product(difference(c,difference(b,c)),product(a,b))),product(a,product(b,c))) )],[refute_0_18972,refute_0_19040]) ).

cnf(refute_0_19042,plain,
    ( product(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),product(a,product(quotient(b,a),b))) != product(difference(b,c),product(a,b))
    | quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))) != product(a,product(b,c))
    | product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(difference(b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),product(a,product(quotient(b,a),b))),product(difference(b,c),product(a,b))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_19043,plain,
    ( product(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),product(a,product(quotient(b,a),b))) != product(difference(b,c),product(a,b))
    | product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(difference(b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),product(a,product(b,c))) )],[refute_0_19041,refute_0_19042]) ).

cnf(refute_0_19044,plain,
    product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(difference(b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(quotient(product(difference(b,c),product(a,b)),product(a,product(quotient(b,a),b))),product(a,product(quotient(b,a),b))),product(difference(b,c),product(a,b))) )],[refute_0_71,refute_0_19043]) ).

cnf(refute_0_19045,plain,
    product(product(a,b),product(a,quotient(b,c))) = product(a,product(b,quotient(b,c))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(quotient(b,c)))]]) ).

cnf(refute_0_19046,plain,
    product(product(c,B),product(quotient(c,a),D)) = product(product(c,quotient(c,a)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(quotient(c,a)))]]) ).

cnf(refute_0_19047,plain,
    ( product(c,quotient(c,a)) != product(a,b)
    | product(product(c,B),product(quotient(c,a),D)) != product(product(c,quotient(c,a)),product(B,D))
    | product(product(c,B),product(quotient(c,a),D)) = product(product(a,b),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(quotient(c,a),D)),product(product(c,quotient(c,a)),product(B,D))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_19048,plain,
    ( product(product(c,B),product(quotient(c,a),D)) != product(product(c,quotient(c,a)),product(B,D))
    | product(product(c,B),product(quotient(c,a),D)) = product(product(a,b),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_19047]) ).

cnf(refute_0_19049,plain,
    product(product(c,B),product(quotient(c,a),D)) = product(product(a,b),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(quotient(c,a),D)),product(product(c,quotient(c,a)),product(B,D))) )],[refute_0_19046,refute_0_19048]) ).

cnf(refute_0_19050,plain,
    product(product(c,a),product(quotient(c,a),quotient(b,c))) = product(product(a,b),product(a,quotient(b,c))),
    inference(subst,[],[refute_0_19049:[bind(B,$fot(a)),bind(D,$fot(quotient(b,c)))]]) ).

cnf(refute_0_19051,plain,
    ( product(product(a,b),product(a,quotient(b,c))) != product(a,product(b,quotient(b,c)))
    | product(product(c,a),product(quotient(c,a),quotient(b,c))) != product(product(a,b),product(a,quotient(b,c)))
    | product(product(c,a),product(quotient(c,a),quotient(b,c))) = product(a,product(b,quotient(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(quotient(c,a),quotient(b,c))))),bind(Y,$fot(product(product(a,b),product(a,quotient(b,c))))),bind(Z,$fot(product(a,product(b,quotient(b,c)))))]]) ).

cnf(refute_0_19052,plain,
    ( product(product(a,b),product(a,quotient(b,c))) != product(a,product(b,quotient(b,c)))
    | product(product(c,a),product(quotient(c,a),quotient(b,c))) = product(a,product(b,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(quotient(c,a),quotient(b,c))),product(product(a,b),product(a,quotient(b,c)))) )],[refute_0_19050,refute_0_19051]) ).

cnf(refute_0_19053,plain,
    product(product(c,a),product(quotient(c,a),quotient(b,c))) = product(a,product(b,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(a,quotient(b,c))),product(a,product(b,quotient(b,c)))) )],[refute_0_19045,refute_0_19052]) ).

cnf(refute_0_19054,plain,
    quotient(quotient(b,c),product(quotient(b,c),b)) = product(product(c,quotient(b,c)),quotient(b,c)),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(b)),bind(X_17,$fot(c))]]) ).

cnf(refute_0_19055,plain,
    ( product(c,quotient(b,c)) != difference(c,product(a,b))
    | quotient(quotient(b,c),product(quotient(b,c),b)) != product(product(c,quotient(b,c)),quotient(b,c))
    | quotient(quotient(b,c),product(quotient(b,c),b)) = product(difference(c,product(a,b)),quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,c),product(quotient(b,c),b)),product(product(c,quotient(b,c)),quotient(b,c))) ),[1,0],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_19056,plain,
    ( quotient(quotient(b,c),product(quotient(b,c),b)) != product(product(c,quotient(b,c)),quotient(b,c))
    | quotient(quotient(b,c),product(quotient(b,c),b)) = product(difference(c,product(a,b)),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_12363,refute_0_19055]) ).

cnf(refute_0_19057,plain,
    quotient(quotient(b,c),product(quotient(b,c),b)) = product(difference(c,product(a,b)),quotient(b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,c),product(quotient(b,c),b)),product(product(c,quotient(b,c)),quotient(b,c))) )],[refute_0_19054,refute_0_19056]) ).

cnf(refute_0_19058,plain,
    quotient(quotient(b,c),product(quotient(b,c),b)) = product(difference(c,difference(b,c)),b),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(b)),bind(X_21,$fot(c))]]) ).

cnf(refute_0_19059,plain,
    ( quotient(quotient(b,c),product(quotient(b,c),b)) != product(difference(c,difference(b,c)),b)
    | quotient(quotient(b,c),product(quotient(b,c),b)) != product(difference(c,product(a,b)),quotient(b,c))
    | product(difference(c,difference(b,c)),b) = product(difference(c,product(a,b)),quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,c),product(quotient(b,c),b)),product(difference(c,product(a,b)),quotient(b,c))) ),[0],$fot(product(difference(c,difference(b,c)),b))]]) ).

cnf(refute_0_19060,plain,
    ( quotient(quotient(b,c),product(quotient(b,c),b)) != product(difference(c,product(a,b)),quotient(b,c))
    | product(difference(c,difference(b,c)),b) = product(difference(c,product(a,b)),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,c),product(quotient(b,c),b)),product(difference(c,difference(b,c)),b)) )],[refute_0_19058,refute_0_19059]) ).

cnf(refute_0_19061,plain,
    product(difference(c,difference(b,c)),b) = product(difference(c,product(a,b)),quotient(b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,c),product(quotient(b,c),b)),product(difference(c,product(a,b)),quotient(b,c))) )],[refute_0_19057,refute_0_19060]) ).

cnf(refute_0_19062,plain,
    product(difference(c,product(a,b)),quotient(b,c)) = product(difference(c,product(a,b)),quotient(b,c)),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,b)),quotient(b,c)))]]) ).

cnf(refute_0_19063,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(difference(c,product(a,b)),quotient(b,c)) != product(difference(c,product(a,b)),quotient(b,c))
    | product(difference(c,product(a,b)),quotient(b,c)) = product(quotient(c,a),quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,b)),quotient(b,c)),product(difference(c,product(a,b)),quotient(b,c))) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_19064,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | product(difference(c,product(a,b)),quotient(b,c)) = product(quotient(c,a),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),quotient(b,c)),product(difference(c,product(a,b)),quotient(b,c))) )],[refute_0_19062,refute_0_19063]) ).

cnf(refute_0_19065,plain,
    product(difference(c,product(a,b)),quotient(b,c)) = product(quotient(c,a),quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_19064]) ).

cnf(refute_0_19066,plain,
    ( product(difference(c,difference(b,c)),b) != product(difference(c,product(a,b)),quotient(b,c))
    | product(difference(c,product(a,b)),quotient(b,c)) != product(quotient(c,a),quotient(b,c))
    | product(difference(c,difference(b,c)),b) = product(quotient(c,a),quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(difference(c,difference(b,c)),b),product(quotient(c,a),quotient(b,c))) ),[0],$fot(product(difference(c,product(a,b)),quotient(b,c)))]]) ).

cnf(refute_0_19067,plain,
    ( product(difference(c,difference(b,c)),b) != product(difference(c,product(a,b)),quotient(b,c))
    | product(difference(c,difference(b,c)),b) = product(quotient(c,a),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,b)),quotient(b,c)),product(quotient(c,a),quotient(b,c))) )],[refute_0_19065,refute_0_19066]) ).

cnf(refute_0_19068,plain,
    product(difference(c,difference(b,c)),b) = product(quotient(c,a),quotient(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(b,c)),b),product(difference(c,product(a,b)),quotient(b,c))) )],[refute_0_19061,refute_0_19067]) ).

cnf(refute_0_19069,plain,
    bigC(a,quotient(b,a),quotient(A,a)) = product(product(a,quotient(b,a)),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(a)),bind(X_22,$fot(quotient(b,a)))]]) ).

cnf(refute_0_19070,plain,
    ( bigC(a,quotient(b,a),quotient(A,a)) != product(product(a,quotient(b,a)),A)
    | product(a,quotient(b,a)) != difference(c,difference(b,c))
    | bigC(a,quotient(b,a),quotient(A,a)) = product(difference(c,difference(b,c)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,quotient(b,a),quotient(A,a)),product(product(a,quotient(b,a)),A)) ),[1,0],$fot(difference(c,difference(b,c)))]]) ).

cnf(refute_0_19071,plain,
    ( bigC(a,quotient(b,a),quotient(A,a)) != product(product(a,quotient(b,a)),A)
    | bigC(a,quotient(b,a),quotient(A,a)) = product(difference(c,difference(b,c)),A) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(b,a)),difference(c,difference(b,c))) )],[refute_0_18994,refute_0_19070]) ).

cnf(refute_0_19072,plain,
    bigC(a,quotient(b,a),quotient(A,a)) = product(difference(c,difference(b,c)),A),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(b,a),quotient(A,a)),product(product(a,quotient(b,a)),A)) )],[refute_0_19069,refute_0_19071]) ).

cnf(refute_0_19073,plain,
    bigC(a,quotient(b,a),quotient(A,a)) = product(product(a,quotient(A,a)),b),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(b)),bind(X_21,$fot(a)),bind(X_22,$fot(quotient(A,a)))]]) ).

cnf(refute_0_19074,plain,
    ( bigC(a,quotient(b,a),quotient(A,a)) != product(difference(c,difference(b,c)),A)
    | bigC(a,quotient(b,a),quotient(A,a)) != product(product(a,quotient(A,a)),b)
    | product(product(a,quotient(A,a)),b) = product(difference(c,difference(b,c)),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,quotient(b,a),quotient(A,a)),product(difference(c,difference(b,c)),A)) ),[0],$fot(product(product(a,quotient(A,a)),b))]]) ).

cnf(refute_0_19075,plain,
    ( bigC(a,quotient(b,a),quotient(A,a)) != product(difference(c,difference(b,c)),A)
    | product(product(a,quotient(A,a)),b) = product(difference(c,difference(b,c)),A) ),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(b,a),quotient(A,a)),product(product(a,quotient(A,a)),b)) )],[refute_0_19073,refute_0_19074]) ).

cnf(refute_0_19076,plain,
    product(product(a,quotient(A,a)),b) = product(difference(c,difference(b,c)),A),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(b,a),quotient(A,a)),product(difference(c,difference(b,c)),A)) )],[refute_0_19072,refute_0_19075]) ).

cnf(refute_0_19077,plain,
    product(product(a,quotient(b,a)),b) = product(difference(c,difference(b,c)),b),
    inference(subst,[],[refute_0_19076:[bind(A,$fot(b))]]) ).

cnf(refute_0_19078,plain,
    ( product(difference(c,difference(b,c)),b) != product(quotient(c,a),quotient(b,c))
    | product(product(a,quotient(b,a)),b) != product(difference(c,difference(b,c)),b)
    | product(product(a,quotient(b,a)),b) = product(quotient(c,a),quotient(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,quotient(b,a)),b))),bind(Y,$fot(product(difference(c,difference(b,c)),b))),bind(Z,$fot(product(quotient(c,a),quotient(b,c))))]]) ).

cnf(refute_0_19079,plain,
    ( product(difference(c,difference(b,c)),b) != product(quotient(c,a),quotient(b,c))
    | product(product(a,quotient(b,a)),b) = product(quotient(c,a),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(b,a)),b),product(difference(c,difference(b,c)),b)) )],[refute_0_19077,refute_0_19078]) ).

cnf(refute_0_19080,plain,
    product(product(a,quotient(b,a)),b) = product(quotient(c,a),quotient(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(c,difference(b,c)),b),product(quotient(c,a),quotient(b,c))) )],[refute_0_19068,refute_0_19079]) ).

cnf(refute_0_19081,plain,
    product(product(a,b),product(quotient(b,a),b)) = product(product(a,quotient(b,a)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(quotient(b,a))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19082,plain,
    ( product(product(a,b),product(quotient(b,a),b)) != product(product(a,quotient(b,a)),b)
    | product(product(a,quotient(b,a)),b) != product(quotient(c,a),quotient(b,c))
    | product(product(a,b),product(quotient(b,a),b)) = product(quotient(c,a),quotient(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(quotient(b,a),b)))),bind(Y,$fot(product(product(a,quotient(b,a)),b))),bind(Z,$fot(product(quotient(c,a),quotient(b,c))))]]) ).

cnf(refute_0_19083,plain,
    ( product(product(a,quotient(b,a)),b) != product(quotient(c,a),quotient(b,c))
    | product(product(a,b),product(quotient(b,a),b)) = product(quotient(c,a),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(b,a),b)),product(product(a,quotient(b,a)),b)) )],[refute_0_19081,refute_0_19082]) ).

cnf(refute_0_19084,plain,
    product(product(a,b),product(quotient(b,a),b)) = product(quotient(c,a),quotient(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(b,a)),b),product(quotient(c,a),quotient(b,c))) )],[refute_0_19080,refute_0_19083]) ).

cnf(refute_0_19085,plain,
    product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(product(c,a),product(product(a,b),product(quotient(b,a),b))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(product(a,b),product(quotient(b,a),b))))]]) ).

cnf(refute_0_19086,plain,
    ( product(product(a,b),product(quotient(b,a),b)) != product(quotient(c,a),quotient(b,c))
    | product(product(c,a),product(product(a,b),product(quotient(b,a),b))) != product(product(c,a),product(product(a,b),product(quotient(b,a),b)))
    | product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(product(c,a),product(quotient(c,a),quotient(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(product(a,b),product(quotient(b,a),b))),product(product(c,a),product(product(a,b),product(quotient(b,a),b)))) ),[1,1],$fot(product(quotient(c,a),quotient(b,c)))]]) ).

cnf(refute_0_19087,plain,
    ( product(product(a,b),product(quotient(b,a),b)) != product(quotient(c,a),quotient(b,c))
    | product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(product(c,a),product(quotient(c,a),quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),product(quotient(b,a),b))),product(product(c,a),product(product(a,b),product(quotient(b,a),b)))) )],[refute_0_19085,refute_0_19086]) ).

cnf(refute_0_19088,plain,
    product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(product(c,a),product(quotient(c,a),quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(b,a),b)),product(quotient(c,a),quotient(b,c))) )],[refute_0_19084,refute_0_19087]) ).

cnf(refute_0_19089,plain,
    ( product(product(c,a),product(product(a,b),product(quotient(b,a),b))) != product(product(c,a),product(quotient(c,a),quotient(b,c)))
    | product(product(c,a),product(quotient(c,a),quotient(b,c))) != product(a,product(b,quotient(b,c)))
    | product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(a,product(b,quotient(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(product(a,b),product(quotient(b,a),b))))),bind(Y,$fot(product(product(c,a),product(quotient(c,a),quotient(b,c))))),bind(Z,$fot(product(a,product(b,quotient(b,c)))))]]) ).

cnf(refute_0_19090,plain,
    ( product(product(c,a),product(quotient(c,a),quotient(b,c))) != product(a,product(b,quotient(b,c)))
    | product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(a,product(b,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),product(quotient(b,a),b))),product(product(c,a),product(quotient(c,a),quotient(b,c)))) )],[refute_0_19088,refute_0_19089]) ).

cnf(refute_0_19091,plain,
    product(product(c,a),product(product(a,b),product(quotient(b,a),b))) = product(a,product(b,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(quotient(c,a),quotient(b,c))),product(a,product(b,quotient(b,c)))) )],[refute_0_19053,refute_0_19090]) ).

cnf(refute_0_19092,plain,
    product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(product(c,a),product(product(a,b),product(quotient(b,a),b))),
    inference(subst,[],[refute_0_7267:[bind(B,$fot(a)),bind(D,$fot(product(quotient(b,a),b)))]]) ).

cnf(refute_0_19093,plain,
    ( product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) != product(product(c,a),product(product(a,b),product(quotient(b,a),b)))
    | product(product(c,a),product(product(a,b),product(quotient(b,a),b))) != product(a,product(b,quotient(b,c)))
    | product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(a,product(b,quotient(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(a,product(quotient(b,a),b))))),bind(Y,$fot(product(product(c,a),product(product(a,b),product(quotient(b,a),b))))),bind(Z,$fot(product(a,product(b,quotient(b,c)))))]]) ).

cnf(refute_0_19094,plain,
    ( product(product(c,a),product(product(a,b),product(quotient(b,a),b))) != product(a,product(b,quotient(b,c)))
    | product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(a,product(b,quotient(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(quotient(b,a),b))),product(product(c,a),product(product(a,b),product(quotient(b,a),b)))) )],[refute_0_19092,refute_0_19093]) ).

cnf(refute_0_19095,plain,
    product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) = product(a,product(b,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),product(quotient(b,a),b))),product(a,product(b,quotient(b,c)))) )],[refute_0_19091,refute_0_19094]) ).

cnf(refute_0_19096,plain,
    ( product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) != product(a,product(b,quotient(b,c)))
    | product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) != product(difference(b,c),product(a,b))
    | product(a,product(b,quotient(b,c))) = product(difference(b,c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(quotient(b,a),b))),product(difference(b,c),product(a,b))) ),[0],$fot(product(a,product(b,quotient(b,c))))]]) ).

cnf(refute_0_19097,plain,
    ( product(product(a,product(b,c)),product(a,product(quotient(b,a),b))) != product(difference(b,c),product(a,b))
    | product(a,product(b,quotient(b,c))) = product(difference(b,c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(quotient(b,a),b))),product(a,product(b,quotient(b,c)))) )],[refute_0_19095,refute_0_19096]) ).

cnf(refute_0_19098,plain,
    product(a,product(b,quotient(b,c))) = product(difference(b,c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,product(quotient(b,a),b))),product(difference(b,c),product(a,b))) )],[refute_0_19044,refute_0_19097]) ).

cnf(refute_0_19099,plain,
    ( product(a,product(b,quotient(b,c))) != product(difference(b,c),product(a,b))
    | product(difference(b,c),product(a,b)) = product(a,product(b,quotient(b,c))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(b,quotient(b,c))))),bind(Y,$fot(product(difference(b,c),product(a,b))))]]) ).

cnf(refute_0_19100,plain,
    product(difference(b,c),product(a,b)) = product(a,product(b,quotient(b,c))),
    inference(resolve,[$cnf( $equal(product(a,product(b,quotient(b,c))),product(difference(b,c),product(a,b))) )],[refute_0_19098,refute_0_19099]) ).

cnf(refute_0_19101,plain,
    ( product(difference(b,c),product(a,b)) != product(a,product(b,quotient(b,c)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(a,product(b,quotient(b,c))),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(difference(b,c),product(a,b)),product(a,b))) ),[1,0],$fot(product(a,product(b,quotient(b,c))))]]) ).

cnf(refute_0_19102,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(a,product(b,quotient(b,c))),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,b)),product(a,product(b,quotient(b,c)))) )],[refute_0_19100,refute_0_19101]) ).

cnf(refute_0_19103,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(a,product(b,quotient(b,c))),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(difference(b,c),product(a,b)),product(a,b))) )],[refute_0_70,refute_0_19102]) ).

cnf(refute_0_19104,plain,
    bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(quotient(product(a,b),c),product(c,quotient(product(a,b),c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(quotient(product(a,b),c))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_19105,plain,
    ( bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) != product(quotient(product(a,b),c),product(c,quotient(product(a,b),c)))
    | product(c,quotient(product(a,b),c)) != product(a,c)
    | bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(quotient(product(a,b),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c),product(quotient(product(a,b),c),product(c,quotient(product(a,b),c)))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_19106,plain,
    ( bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) != product(quotient(product(a,b),c),product(c,quotient(product(a,b),c)))
    | bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(quotient(product(a,b),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,b),c)),product(a,c)) )],[refute_0_8152,refute_0_19105]) ).

cnf(refute_0_19107,plain,
    bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(quotient(product(a,b),c),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c),product(quotient(product(a,b),c),product(c,quotient(product(a,b),c)))) )],[refute_0_19104,refute_0_19106]) ).

cnf(refute_0_19108,plain,
    bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)) = product(product(a,b),quotient(product(a,b),c)),
    inference(subst,[],[refute_0_13860:[bind(X_58,$fot(product(a,b))),bind(X_59,$fot(c))]]) ).

cnf(refute_0_19109,plain,
    bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(quotient(product(a,b),c))),bind(B,$fot(c)),bind(C,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_19110,plain,
    ( bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) != bigC(quotient(product(a,b),c),c,quotient(product(a,b),c))
    | bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(product(a,b),quotient(product(a,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c))),bind(Y,$fot(bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)))),bind(Z,$fot(product(product(a,b),quotient(product(a,b),c))))]]) ).

cnf(refute_0_19111,plain,
    ( bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(product(a,b),quotient(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c),bigC(quotient(product(a,b),c),c,quotient(product(a,b),c))) )],[refute_0_19109,refute_0_19110]) ).

cnf(refute_0_19112,plain,
    bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) = product(product(a,b),quotient(product(a,b),c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),c,quotient(product(a,b),c)),product(product(a,b),quotient(product(a,b),c))) )],[refute_0_19108,refute_0_19111]) ).

cnf(refute_0_19113,plain,
    ( bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) != product(product(a,b),quotient(product(a,b),c))
    | bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) != product(quotient(product(a,b),c),product(a,c))
    | product(product(a,b),quotient(product(a,b),c)) = product(quotient(product(a,b),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c),product(quotient(product(a,b),c),product(a,c))) ),[0],$fot(product(product(a,b),quotient(product(a,b),c)))]]) ).

cnf(refute_0_19114,plain,
    ( bigC(quotient(product(a,b),c),quotient(product(a,b),c),c) != product(quotient(product(a,b),c),product(a,c))
    | product(product(a,b),quotient(product(a,b),c)) = product(quotient(product(a,b),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c),product(product(a,b),quotient(product(a,b),c))) )],[refute_0_19112,refute_0_19113]) ).

cnf(refute_0_19115,plain,
    product(product(a,b),quotient(product(a,b),c)) = product(quotient(product(a,b),c),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),quotient(product(a,b),c),c),product(quotient(product(a,b),c),product(a,c))) )],[refute_0_19107,refute_0_19114]) ).

cnf(refute_0_19116,plain,
    product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),quotient(product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),quotient(product(a,b),c)))]]) ).

cnf(refute_0_19117,plain,
    ( product(product(a,b),quotient(product(a,b),c)) != product(product(a,b),quotient(product(a,b),c))
    | quotient(product(a,b),c) != difference(c,product(a,c))
    | product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),difference(c,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),quotient(product(a,b),c)),product(product(a,b),quotient(product(a,b),c))) ),[1,1],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_19118,plain,
    ( quotient(product(a,b),c) != difference(c,product(a,c))
    | product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),difference(c,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),c)),product(product(a,b),quotient(product(a,b),c))) )],[refute_0_19116,refute_0_19117]) ).

cnf(refute_0_19119,plain,
    product(product(a,b),quotient(product(a,b),c)) = product(product(a,b),difference(c,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(c,product(a,c))) )],[refute_0_8157,refute_0_19118]) ).

cnf(refute_0_19120,plain,
    ( product(product(a,b),quotient(product(a,b),c)) != product(product(a,b),difference(c,product(a,c)))
    | product(product(a,b),quotient(product(a,b),c)) != product(quotient(product(a,b),c),product(a,c))
    | product(product(a,b),difference(c,product(a,c))) = product(quotient(product(a,b),c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),quotient(product(a,b),c)),product(quotient(product(a,b),c),product(a,c))) ),[0],$fot(product(product(a,b),difference(c,product(a,c))))]]) ).

cnf(refute_0_19121,plain,
    ( product(product(a,b),quotient(product(a,b),c)) != product(quotient(product(a,b),c),product(a,c))
    | product(product(a,b),difference(c,product(a,c))) = product(quotient(product(a,b),c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),c)),product(product(a,b),difference(c,product(a,c)))) )],[refute_0_19119,refute_0_19120]) ).

cnf(refute_0_19122,plain,
    product(quotient(product(a,b),c),product(a,c)) = product(quotient(product(a,b),c),product(a,c)),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,b),c),product(a,c)))]]) ).

cnf(refute_0_19123,plain,
    ( product(quotient(product(a,b),c),product(a,c)) != product(quotient(product(a,b),c),product(a,c))
    | quotient(product(a,b),c) != difference(c,product(a,c))
    | product(quotient(product(a,b),c),product(a,c)) = product(difference(c,product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,b),c),product(a,c)),product(quotient(product(a,b),c),product(a,c))) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_19124,plain,
    ( quotient(product(a,b),c) != difference(c,product(a,c))
    | product(quotient(product(a,b),c),product(a,c)) = product(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),c),product(a,c)),product(quotient(product(a,b),c),product(a,c))) )],[refute_0_19122,refute_0_19123]) ).

cnf(refute_0_19125,plain,
    product(quotient(product(a,b),c),product(a,c)) = product(difference(c,product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(c,product(a,c))) )],[refute_0_8157,refute_0_19124]) ).

cnf(refute_0_19126,plain,
    ( product(product(a,b),difference(c,product(a,c))) != product(quotient(product(a,b),c),product(a,c))
    | product(quotient(product(a,b),c),product(a,c)) != product(difference(c,product(a,c)),product(a,c))
    | product(product(a,b),difference(c,product(a,c))) = product(difference(c,product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),difference(c,product(a,c))),product(difference(c,product(a,c)),product(a,c))) ),[0],$fot(product(quotient(product(a,b),c),product(a,c)))]]) ).

cnf(refute_0_19127,plain,
    ( product(product(a,b),difference(c,product(a,c))) != product(quotient(product(a,b),c),product(a,c))
    | product(product(a,b),difference(c,product(a,c))) = product(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),c),product(a,c)),product(difference(c,product(a,c)),product(a,c))) )],[refute_0_19125,refute_0_19126]) ).

cnf(refute_0_19128,plain,
    ( product(product(a,b),quotient(product(a,b),c)) != product(quotient(product(a,b),c),product(a,c))
    | product(product(a,b),difference(c,product(a,c))) = product(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(c,product(a,c))),product(quotient(product(a,b),c),product(a,c))) )],[refute_0_19121,refute_0_19127]) ).

cnf(refute_0_19129,plain,
    product(product(a,b),difference(c,product(a,c))) = product(difference(c,product(a,c)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),quotient(product(a,b),c)),product(quotient(product(a,b),c),product(a,c))) )],[refute_0_19115,refute_0_19128]) ).

cnf(refute_0_19130,plain,
    product(product(a,b),difference(c,product(a,c))) = product(product(a,b),difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,b),difference(c,product(a,c))))]]) ).

cnf(refute_0_19131,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(a,b),difference(c,product(a,c))) != product(product(a,b),difference(c,product(a,c)))
    | product(product(a,b),difference(c,product(a,c))) = product(product(a,b),difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),difference(c,product(a,c))),product(product(a,b),difference(c,product(a,c)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_19132,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(product(a,b),difference(c,product(a,c))) = product(product(a,b),difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(c,product(a,c))),product(product(a,b),difference(c,product(a,c)))) )],[refute_0_19130,refute_0_19131]) ).

cnf(refute_0_19133,plain,
    product(product(a,b),difference(c,product(a,c))) = product(product(a,b),difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_19132]) ).

cnf(refute_0_19134,plain,
    ( product(product(a,b),difference(c,product(a,c))) != product(difference(c,product(a,c)),product(a,c))
    | product(product(a,b),difference(c,product(a,c))) != product(product(a,b),difference(b,c))
    | product(product(a,b),difference(b,c)) = product(difference(c,product(a,c)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),difference(c,product(a,c))),product(difference(c,product(a,c)),product(a,c))) ),[0],$fot(product(product(a,b),difference(b,c)))]]) ).

cnf(refute_0_19135,plain,
    ( product(product(a,b),difference(c,product(a,c))) != product(difference(c,product(a,c)),product(a,c))
    | product(product(a,b),difference(b,c)) = product(difference(c,product(a,c)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(c,product(a,c))),product(product(a,b),difference(b,c))) )],[refute_0_19133,refute_0_19134]) ).

cnf(refute_0_19136,plain,
    difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(difference(b,c),product(difference(b,c),a)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(a)),bind(X_16,$fot(difference(b,c)))]]) ).

cnf(refute_0_19137,plain,
    ( difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(difference(b,c),product(difference(b,c),a))
    | product(difference(b,c),a) != product(a,c)
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(difference(b,c),product(difference(b,c),a))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_19138,plain,
    ( difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(difference(b,c),product(difference(b,c),a))
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_13662,refute_0_19137]) ).

cnf(refute_0_19139,plain,
    difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(difference(b,c),product(difference(b,c),a))) )],[refute_0_19136,refute_0_19138]) ).

cnf(refute_0_19140,plain,
    ( product(a,product(quotient(c,a),c)) != product(a,product(c,b))
    | product(difference(product(c,a),a),c) != product(a,product(quotient(c,a),c))
    | product(difference(product(c,a),a),c) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,a),a),c))),bind(Y,$fot(product(a,product(quotient(c,a),c)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_19141,plain,
    ( product(a,product(quotient(c,a),c)) != product(a,product(c,b))
    | product(difference(product(c,a),a),c) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),a),c),product(a,product(quotient(c,a),c))) )],[refute_0_12328,refute_0_19140]) ).

cnf(refute_0_19142,plain,
    product(difference(product(c,a),a),c) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(quotient(c,a),c)),product(a,product(c,b))) )],[refute_0_12350,refute_0_19141]) ).

cnf(refute_0_19143,plain,
    product(product(a,difference(b,c)),c) = product(product(a,difference(b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(a,difference(b,c)),c))]]) ).

cnf(refute_0_19144,plain,
    ( product(a,difference(b,c)) != difference(product(c,a),a)
    | product(product(a,difference(b,c)),c) != product(product(a,difference(b,c)),c)
    | product(product(a,difference(b,c)),c) = product(difference(product(c,a),a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,difference(b,c)),c),product(product(a,difference(b,c)),c)) ),[1,0],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_19145,plain,
    ( product(a,difference(b,c)) != difference(product(c,a),a)
    | product(product(a,difference(b,c)),c) = product(difference(product(c,a),a),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,difference(b,c)),c),product(product(a,difference(b,c)),c)) )],[refute_0_19143,refute_0_19144]) ).

cnf(refute_0_19146,plain,
    product(product(a,difference(b,c)),c) = product(difference(product(c,a),a),c),
    inference(resolve,[$cnf( $equal(product(a,difference(b,c)),difference(product(c,a),a)) )],[refute_0_15308,refute_0_19145]) ).

cnf(refute_0_19147,plain,
    ( product(difference(product(c,a),a),c) != product(a,product(c,b))
    | product(product(a,difference(b,c)),c) != product(difference(product(c,a),a),c)
    | product(product(a,difference(b,c)),c) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,difference(b,c)),c))),bind(Y,$fot(product(difference(product(c,a),a),c))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_19148,plain,
    ( product(difference(product(c,a),a),c) != product(a,product(c,b))
    | product(product(a,difference(b,c)),c) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,difference(b,c)),c),product(difference(product(c,a),a),c)) )],[refute_0_19146,refute_0_19147]) ).

cnf(refute_0_19149,plain,
    product(product(a,difference(b,c)),c) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),a),c),product(a,product(c,b))) )],[refute_0_19142,refute_0_19148]) ).

cnf(refute_0_19150,plain,
    bigC(a,quotient(c,a),C) = product(product(a,quotient(c,a)),product(C,a)),
    inference(subst,[],[sos08:[bind(A,$fot(a)),bind(B,$fot(quotient(c,a)))]]) ).

cnf(refute_0_19151,plain,
    ( bigC(a,quotient(c,a),C) != product(product(a,quotient(c,a)),product(C,a))
    | product(a,quotient(c,a)) != difference(b,c)
    | bigC(a,quotient(c,a),C) = product(difference(b,c),product(C,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,quotient(c,a),C),product(product(a,quotient(c,a)),product(C,a))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_19152,plain,
    ( bigC(a,quotient(c,a),C) != product(product(a,quotient(c,a)),product(C,a))
    | bigC(a,quotient(c,a),C) = product(difference(b,c),product(C,a)) ),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,a)),difference(b,c)) )],[refute_0_13650,refute_0_19151]) ).

cnf(refute_0_19153,plain,
    bigC(a,quotient(c,a),C) = product(difference(b,c),product(C,a)),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),C),product(product(a,quotient(c,a)),product(C,a))) )],[refute_0_19150,refute_0_19152]) ).

cnf(refute_0_19154,plain,
    bigC(a,quotient(c,a),C) = product(product(a,C),c),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(c)),bind(X_21,$fot(a)),bind(X_22,$fot(C))]]) ).

cnf(refute_0_19155,plain,
    ( bigC(a,quotient(c,a),C) != product(difference(b,c),product(C,a))
    | bigC(a,quotient(c,a),C) != product(product(a,C),c)
    | product(product(a,C),c) = product(difference(b,c),product(C,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,quotient(c,a),C),product(difference(b,c),product(C,a))) ),[0],$fot(product(product(a,C),c))]]) ).

cnf(refute_0_19156,plain,
    ( bigC(a,quotient(c,a),C) != product(difference(b,c),product(C,a))
    | product(product(a,C),c) = product(difference(b,c),product(C,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),C),product(product(a,C),c)) )],[refute_0_19154,refute_0_19155]) ).

cnf(refute_0_19157,plain,
    product(product(a,C),c) = product(difference(b,c),product(C,a)),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(c,a),C),product(difference(b,c),product(C,a))) )],[refute_0_19153,refute_0_19156]) ).

cnf(refute_0_19158,plain,
    ( product(product(a,C),c) != product(difference(b,c),product(C,a))
    | product(difference(b,c),product(C,a)) = product(product(a,C),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,C),c))),bind(Y,$fot(product(difference(b,c),product(C,a))))]]) ).

cnf(refute_0_19159,plain,
    product(difference(b,c),product(C,a)) = product(product(a,C),c),
    inference(resolve,[$cnf( $equal(product(product(a,C),c),product(difference(b,c),product(C,a))) )],[refute_0_19157,refute_0_19158]) ).

cnf(refute_0_19160,plain,
    product(difference(b,c),product(difference(b,c),a)) = product(product(a,difference(b,c)),c),
    inference(subst,[],[refute_0_19159:[bind(C,$fot(difference(b,c)))]]) ).

cnf(refute_0_19161,plain,
    ( difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(difference(b,c),product(difference(b,c),a))
    | product(difference(b,c),product(difference(b,c),a)) != product(product(a,difference(b,c)),c)
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(product(a,difference(b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)))),bind(Y,$fot(product(difference(b,c),product(difference(b,c),a)))),bind(Z,$fot(product(product(a,difference(b,c)),c)))]]) ).

cnf(refute_0_19162,plain,
    ( product(difference(b,c),product(difference(b,c),a)) != product(product(a,difference(b,c)),c)
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(product(a,difference(b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(difference(b,c),product(difference(b,c),a))) )],[refute_0_19136,refute_0_19161]) ).

cnf(refute_0_19163,plain,
    difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(product(a,difference(b,c)),c),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(difference(b,c),a)),product(product(a,difference(b,c)),c)) )],[refute_0_19160,refute_0_19162]) ).

cnf(refute_0_19164,plain,
    ( difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(product(a,difference(b,c)),c)
    | product(product(a,difference(b,c)),c) != product(a,product(c,b))
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)))),bind(Y,$fot(product(product(a,difference(b,c)),c))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_19165,plain,
    ( product(product(a,difference(b,c)),c) != product(a,product(c,b))
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(product(a,difference(b,c)),c)) )],[refute_0_19163,refute_0_19164]) ).

cnf(refute_0_19166,plain,
    difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,difference(b,c)),c),product(a,product(c,b))) )],[refute_0_19149,refute_0_19165]) ).

cnf(refute_0_19167,plain,
    ( difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(a,product(c,b))
    | difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(difference(b,c),product(a,c))
    | product(a,product(c,b)) = product(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(difference(b,c),product(a,c))) ),[0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_19168,plain,
    ( difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)) != product(difference(b,c),product(a,c))
    | product(a,product(c,b)) = product(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(a,product(c,b))) )],[refute_0_19166,refute_0_19167]) ).

cnf(refute_0_19169,plain,
    product(a,product(c,b)) = product(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,difference(b,c)),difference(b,c)),difference(b,c)),product(difference(b,c),product(a,c))) )],[refute_0_19139,refute_0_19168]) ).

cnf(refute_0_19170,plain,
    ( product(a,product(c,b)) != product(difference(b,c),product(a,c))
    | product(difference(b,c),product(a,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,product(c,b)))),bind(Y,$fot(product(difference(b,c),product(a,c))))]]) ).

cnf(refute_0_19171,plain,
    product(difference(b,c),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(a,product(c,b)),product(difference(b,c),product(a,c))) )],[refute_0_19169,refute_0_19170]) ).

cnf(refute_0_19172,plain,
    product(difference(c,product(a,c)),product(a,c)) = product(difference(c,product(a,c)),product(a,c)),
    introduced(tautology,[refl,[$fot(product(difference(c,product(a,c)),product(a,c)))]]) ).

cnf(refute_0_19173,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(difference(c,product(a,c)),product(a,c)) != product(difference(c,product(a,c)),product(a,c))
    | product(difference(c,product(a,c)),product(a,c)) = product(difference(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(a,c)),product(a,c)),product(difference(c,product(a,c)),product(a,c))) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_19174,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(difference(c,product(a,c)),product(a,c)) = product(difference(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),product(a,c)),product(difference(c,product(a,c)),product(a,c))) )],[refute_0_19172,refute_0_19173]) ).

cnf(refute_0_19175,plain,
    product(difference(c,product(a,c)),product(a,c)) = product(difference(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_19174]) ).

cnf(refute_0_19176,plain,
    ( product(difference(b,c),product(a,c)) != product(a,product(c,b))
    | product(difference(c,product(a,c)),product(a,c)) != product(difference(b,c),product(a,c))
    | product(difference(c,product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(a,c)),product(a,c)))),bind(Y,$fot(product(difference(b,c),product(a,c)))),bind(Z,$fot(product(a,product(c,b))))]]) ).

cnf(refute_0_19177,plain,
    ( product(difference(b,c),product(a,c)) != product(a,product(c,b))
    | product(difference(c,product(a,c)),product(a,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),product(a,c)),product(difference(b,c),product(a,c))) )],[refute_0_19175,refute_0_19176]) ).

cnf(refute_0_19178,plain,
    product(difference(c,product(a,c)),product(a,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(a,c)),product(a,product(c,b))) )],[refute_0_19171,refute_0_19177]) ).

cnf(refute_0_19179,plain,
    ( product(difference(c,product(a,c)),product(a,c)) != product(a,product(c,b))
    | product(product(a,b),difference(b,c)) != product(difference(c,product(a,c)),product(a,c))
    | product(product(a,b),difference(b,c)) = product(a,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),difference(b,c)),product(difference(c,product(a,c)),product(a,c))) ),[1],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_19180,plain,
    ( product(product(a,b),difference(b,c)) != product(difference(c,product(a,c)),product(a,c))
    | product(product(a,b),difference(b,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(a,c)),product(a,c)),product(a,product(c,b))) )],[refute_0_19178,refute_0_19179]) ).

cnf(refute_0_19181,plain,
    ( product(product(a,b),difference(c,product(a,c))) != product(difference(c,product(a,c)),product(a,c))
    | product(product(a,b),difference(b,c)) = product(a,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(difference(c,product(a,c)),product(a,c))) )],[refute_0_19135,refute_0_19180]) ).

cnf(refute_0_19182,plain,
    product(product(a,b),difference(b,c)) = product(a,product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(c,product(a,c))),product(difference(c,product(a,c)),product(a,c))) )],[refute_0_19129,refute_0_19181]) ).

cnf(refute_0_19183,plain,
    ( product(product(a,b),difference(b,c)) != product(a,product(c,b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(difference(b,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(difference(b,c),product(a,b)),product(a,b))) ),[0,0,0,2],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_19184,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(difference(b,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(a,product(c,b))) )],[refute_0_19182,refute_0_19183]) ).

cnf(refute_0_19185,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(difference(b,c),product(a,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(difference(b,c),product(a,b)),product(a,b))) )],[refute_0_70,refute_0_19184]) ).

cnf(refute_0_19186,plain,
    product(product(difference(b,c),a),product(product(a,b),b)) = product(product(difference(b,c),a),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(difference(b,c),a),product(product(a,b),b)))]]) ).

cnf(refute_0_19187,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),a),product(product(a,b),b)) != product(product(difference(b,c),a),product(product(a,b),b))
    | product(product(difference(b,c),a),product(product(a,b),b)) = product(product(a,c),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,b),b)),product(product(difference(b,c),a),product(product(a,b),b))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_19188,plain,
    ( product(difference(b,c),a) != product(a,c)
    | product(product(difference(b,c),a),product(product(a,b),b)) = product(product(a,c),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,b),b)),product(product(difference(b,c),a),product(product(a,b),b))) )],[refute_0_19186,refute_0_19187]) ).

cnf(refute_0_19189,plain,
    product(product(difference(b,c),a),product(product(a,b),b)) = product(product(a,c),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),a),product(a,c)) )],[refute_0_13662,refute_0_19188]) ).

cnf(refute_0_19190,plain,
    product(product(product(difference(b,c),a),product(product(a,b),b)),a) = product(product(product(difference(b,c),a),product(product(a,b),b)),a),
    introduced(tautology,[refl,[$fot(product(product(product(difference(b,c),a),product(product(a,b),b)),a))]]) ).

cnf(refute_0_19191,plain,
    ( product(product(difference(b,c),a),product(product(a,b),b)) != product(product(a,c),product(product(a,b),b))
    | product(product(product(difference(b,c),a),product(product(a,b),b)),a) != product(product(product(difference(b,c),a),product(product(a,b),b)),a)
    | product(product(product(difference(b,c),a),product(product(a,b),b)),a) = product(product(product(a,c),product(product(a,b),b)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(difference(b,c),a),product(product(a,b),b)),a),product(product(product(difference(b,c),a),product(product(a,b),b)),a)) ),[1,0],$fot(product(product(a,c),product(product(a,b),b)))]]) ).

cnf(refute_0_19192,plain,
    ( product(product(difference(b,c),a),product(product(a,b),b)) != product(product(a,c),product(product(a,b),b))
    | product(product(product(difference(b,c),a),product(product(a,b),b)),a) = product(product(product(a,c),product(product(a,b),b)),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),a),product(product(a,b),b)),a),product(product(product(difference(b,c),a),product(product(a,b),b)),a)) )],[refute_0_19190,refute_0_19191]) ).

cnf(refute_0_19193,plain,
    product(product(product(difference(b,c),a),product(product(a,b),b)),a) = product(product(product(a,c),product(product(a,b),b)),a),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,b),b)),product(product(a,c),product(product(a,b),b))) )],[refute_0_19189,refute_0_19192]) ).

cnf(refute_0_19194,plain,
    product(product(product(difference(b,c),product(a,b)),product(a,b)),a) = product(product(product(difference(b,c),a),product(product(a,b),b)),a),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(a)),bind(X_63,$fot(difference(b,c))),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19195,plain,
    ( product(product(product(difference(b,c),a),product(product(a,b),b)),a) != product(product(product(a,c),product(product(a,b),b)),a)
    | product(product(product(difference(b,c),product(a,b)),product(a,b)),a) != product(product(product(difference(b,c),a),product(product(a,b),b)),a)
    | product(product(product(difference(b,c),product(a,b)),product(a,b)),a) = product(product(product(a,c),product(product(a,b),b)),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(difference(b,c),product(a,b)),product(a,b)),a))),bind(Y,$fot(product(product(product(difference(b,c),a),product(product(a,b),b)),a))),bind(Z,$fot(product(product(product(a,c),product(product(a,b),b)),a)))]]) ).

cnf(refute_0_19196,plain,
    ( product(product(product(difference(b,c),a),product(product(a,b),b)),a) != product(product(product(a,c),product(product(a,b),b)),a)
    | product(product(product(difference(b,c),product(a,b)),product(a,b)),a) = product(product(product(a,c),product(product(a,b),b)),a) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(product(difference(b,c),a),product(product(a,b),b)),a)) )],[refute_0_19194,refute_0_19195]) ).

cnf(refute_0_19197,plain,
    product(product(product(difference(b,c),product(a,b)),product(a,b)),a) = product(product(product(a,c),product(product(a,b),b)),a),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),a),product(product(a,b),b)),a),product(product(product(a,c),product(product(a,b),b)),a)) )],[refute_0_19193,refute_0_19196]) ).

cnf(refute_0_19198,plain,
    product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) = product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)),
    introduced(tautology,[refl,[$fot(product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))]]) ).

cnf(refute_0_19199,plain,
    ( product(product(product(difference(b,c),product(a,b)),product(a,b)),a) != product(product(product(a,c),product(product(a,b),b)),a)
    | product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) != product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))
    | product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) = product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) ),[1,0],$fot(product(product(product(a,c),product(product(a,b),b)),a))]]) ).

cnf(refute_0_19200,plain,
    ( product(product(product(difference(b,c),product(a,b)),product(a,b)),a) != product(product(product(a,c),product(product(a,b),b)),a)
    | product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) = product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) )],[refute_0_19198,refute_0_19199]) ).

cnf(refute_0_19201,plain,
    product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) = product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(product(a,c),product(product(a,b),b)),a)) )],[refute_0_19197,refute_0_19200]) ).

cnf(refute_0_19202,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))]]) ).

cnf(refute_0_19203,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) != product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) ),[1,1],$fot(product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))]]) ).

cnf(refute_0_19204,plain,
    ( product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)) != product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19202,refute_0_19203]) ).

cnf(refute_0_19205,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) )],[refute_0_19201,refute_0_19204]) ).

cnf(refute_0_19206,plain,
    product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))))]]) ).

cnf(refute_0_19207,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))
    | product(product(difference(b,c),a),product(product(a,b),b)) != product(product(a,c),product(product(a,b),b))
    | product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))) ),[1,1],$fot(product(product(a,c),product(product(a,b),b)))]]) ).

cnf(refute_0_19208,plain,
    ( product(product(difference(b,c),a),product(product(a,b),b)) != product(product(a,c),product(product(a,b),b))
    | product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))) )],[refute_0_19206,refute_0_19207]) ).

cnf(refute_0_19209,plain,
    product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),a),product(product(a,b),b)),product(product(a,c),product(product(a,b),b))) )],[refute_0_19189,refute_0_19208]) ).

cnf(refute_0_19210,plain,
    product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(bigC(product(a,b),difference(b,c),product(a,product(c,b))))),bind(X_63,$fot(difference(b,c))),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19211,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))))),bind(Y,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))))),bind(Z,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))))]]) ).

cnf(refute_0_19212,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))) )],[refute_0_19210,refute_0_19211]) ).

cnf(refute_0_19213,plain,
    product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))) )],[refute_0_19209,refute_0_19212]) ).

cnf(refute_0_19214,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))]]) ).

cnf(refute_0_19215,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) ),[1,0],$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))))]]) ).

cnf(refute_0_19216,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19214,refute_0_19215]) ).

cnf(refute_0_19217,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))) )],[refute_0_19213,refute_0_19216]) ).

cnf(refute_0_19218,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Y,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Z,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))))]]) ).

cnf(refute_0_19219,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19217,refute_0_19218]) ).

cnf(refute_0_19220,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))) )],[refute_0_19205,refute_0_19219]) ).

cnf(refute_0_19221,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))))),bind(X_63,$fot(product(product(difference(b,c),product(a,b)),product(a,b)))),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19222,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))))),bind(Y,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Z,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))))]]) ).

cnf(refute_0_19223,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19221,refute_0_19222]) ).

cnf(refute_0_19224,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))) )],[refute_0_19220,refute_0_19223]) ).

cnf(refute_0_19225,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) = product(product(difference(b,c),product(a,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(difference(b,c),product(a,b)),product(a,b))) ),[0],$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))))]]) ).

cnf(refute_0_19226,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) = product(product(difference(b,c),product(a,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))) )],[refute_0_19224,refute_0_19225]) ).

cnf(refute_0_19227,plain,
    product(product(difference(b,c),product(a,b)),product(a,b)) = product(product(a,c),product(product(a,b),b)),
    inference(subst,[],[refute_0_13809:[bind(B,$fot(product(a,b))),bind(D,$fot(b))]]) ).

cnf(refute_0_19228,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(difference(b,c),product(a,b)),product(a,b)) != product(product(a,c),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),product(product(a,c),product(product(a,b),b))) ),[0],$fot(product(product(difference(b,c),product(a,b)),product(a,b)))]]) ).

cnf(refute_0_19229,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),product(a,b)),product(a,b)),product(product(a,c),product(product(a,b),b))) )],[refute_0_19227,refute_0_19228]) ).

cnf(refute_0_19230,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(difference(b,c),product(a,b)),product(a,b))
    | product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),product(product(difference(b,c),product(a,b)),product(a,b))) )],[refute_0_19226,refute_0_19229]) ).

cnf(refute_0_19231,plain,
    product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(difference(b,c),product(a,b)),product(a,b))) )],[refute_0_19185,refute_0_19230]) ).

cnf(refute_0_19232,plain,
    bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) = bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))))]]) ).

cnf(refute_0_19233,plain,
    ( bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) != bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c)))
    | product(product(a,b),difference(b,c)) != product(a,product(c,b))
    | bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) = bigC(product(a,b),difference(b,c),product(a,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c)))) ),[1,2],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_19234,plain,
    ( product(product(a,b),difference(b,c)) != product(a,product(c,b))
    | bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) = bigC(product(a,b),difference(b,c),product(a,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c)))) )],[refute_0_19232,refute_0_19233]) ).

cnf(refute_0_19235,plain,
    bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) = bigC(product(a,b),difference(b,c),product(a,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),difference(b,c)),product(a,product(c,b))) )],[refute_0_19182,refute_0_19234]) ).

cnf(refute_0_19236,plain,
    product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))))]]) ).

cnf(refute_0_19237,plain,
    ( bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) != bigC(product(a,b),difference(b,c),product(a,product(c,b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b)))) ),[1,0],$fot(bigC(product(a,b),difference(b,c),product(a,product(c,b))))]]) ).

cnf(refute_0_19238,plain,
    ( bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))) != bigC(product(a,b),difference(b,c),product(a,product(c,b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b)))) )],[refute_0_19236,refute_0_19237]) ).

cnf(refute_0_19239,plain,
    product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),bigC(product(a,b),difference(b,c),product(a,product(c,b)))) )],[refute_0_19235,refute_0_19238]) ).

cnf(refute_0_19240,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))))),bind(Y,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))))),bind(Z,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))))]]) ).

cnf(refute_0_19241,plain,
    ( product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b)))) )],[refute_0_19239,refute_0_19240]) ).

cnf(refute_0_19242,plain,
    product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))) )],[refute_0_19209,refute_0_19241]) ).

cnf(refute_0_19243,plain,
    product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))))),bind(X_63,$fot(difference(b,c))),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19244,plain,
    ( product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) != product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))))),bind(Y,$fot(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))))),bind(Z,$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))))]]) ).

cnf(refute_0_19245,plain,
    ( product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b)))) )],[refute_0_19243,refute_0_19244]) ).

cnf(refute_0_19246,plain,
    product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) = product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),a),product(product(a,b),b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))) )],[refute_0_19242,refute_0_19245]) ).

cnf(refute_0_19247,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    introduced(tautology,[refl,[$fot(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))]]) ).

cnf(refute_0_19248,plain,
    ( product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) ),[1,0],$fot(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))))]]) ).

cnf(refute_0_19249,plain,
    ( product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))) != product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19247,refute_0_19248]) ).

cnf(refute_0_19250,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b)))) )],[refute_0_19246,refute_0_19249]) ).

cnf(refute_0_19251,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Y,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Z,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))))]]) ).

cnf(refute_0_19252,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19250,refute_0_19251]) ).

cnf(refute_0_19253,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))) )],[refute_0_19205,refute_0_19252]) ).

cnf(refute_0_19254,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) != product(product(a,c),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Y,$fot(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))))),bind(Z,$fot(product(product(a,c),product(product(a,b),b))))]]) ).

cnf(refute_0_19255,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))) != product(product(a,c),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b)))) )],[refute_0_19253,refute_0_19254]) ).

cnf(refute_0_19256,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) = product(product(a,c),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(a,product(c,b))),product(product(a,c),product(product(a,b),b))),product(product(product(product(a,c),product(product(a,b),b)),a),product(product(a,b),b))),product(product(a,c),product(product(a,b),b))) )],[refute_0_19231,refute_0_19255]) ).

cnf(refute_0_19257,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))))),bind(X_63,$fot(product(product(difference(b,c),product(a,b)),product(a,b)))),bind(X_64,$fot(a)),bind(X_65,$fot(product(a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19258,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(a,c),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(a,c),product(product(a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))))),bind(Y,$fot(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))))),bind(Z,$fot(product(product(a,c),product(product(a,b),b))))]]) ).

cnf(refute_0_19259,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))) != product(product(a,c),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(a,c),product(product(a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b)))) )],[refute_0_19257,refute_0_19258]) ).

cnf(refute_0_19260,plain,
    product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) = product(product(a,c),product(product(a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),a),product(product(a,b),b))),product(product(a,c),product(product(a,b),b))) )],[refute_0_19256,refute_0_19259]) ).

cnf(refute_0_19261,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(a,c),product(product(a,b),b))
    | product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(a,product(b,quotient(b,c))),product(a,b))
    | product(product(a,c),product(product(a,b),b)) = product(product(a,product(b,quotient(b,c))),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(a,product(b,quotient(b,c))),product(a,b))) ),[0],$fot(product(product(a,c),product(product(a,b),b)))]]) ).

cnf(refute_0_19262,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(a,product(b,quotient(b,c))),product(a,b))
    | product(product(a,c),product(product(a,b),b)) = product(product(a,product(b,quotient(b,c))),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(a,c),product(product(a,b),b))) )],[refute_0_19260,refute_0_19261]) ).

cnf(refute_0_19263,plain,
    quotient(b,product(b,product(b,quotient(c,a)))) = product(product(quotient(c,a),b),b),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(quotient(c,a))),bind(X_16,$fot(b))]]) ).

cnf(refute_0_19264,plain,
    ( product(b,quotient(c,a)) != product(c,b)
    | quotient(b,product(b,product(b,quotient(c,a)))) != product(product(quotient(c,a),b),b)
    | quotient(b,product(b,product(c,b))) = product(product(quotient(c,a),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,product(b,product(b,quotient(c,a)))),product(product(quotient(c,a),b),b)) ),[0,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_19265,plain,
    ( quotient(b,product(b,product(b,quotient(c,a)))) != product(product(quotient(c,a),b),b)
    | quotient(b,product(b,product(c,b))) = product(product(quotient(c,a),b),b) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(c,a)),product(c,b)) )],[refute_0_16013,refute_0_19264]) ).

cnf(refute_0_19266,plain,
    quotient(b,product(b,product(c,b))) = product(product(quotient(c,a),b),b),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,product(b,quotient(c,a)))),product(product(quotient(c,a),b),b)) )],[refute_0_19263,refute_0_19265]) ).

cnf(refute_0_19267,plain,
    quotient(b,product(b,product(c,b))) = quotient(b,product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(b,product(b,product(c,b))))]]) ).

cnf(refute_0_19268,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | quotient(b,product(b,product(c,b))) != quotient(b,product(b,product(c,b)))
    | quotient(b,product(b,product(c,b))) = quotient(b,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,product(b,product(c,b))),quotient(b,product(b,product(c,b)))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_19269,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | quotient(b,product(b,product(c,b))) = quotient(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,product(c,b))),quotient(b,product(b,product(c,b)))) )],[refute_0_19267,refute_0_19268]) ).

cnf(refute_0_19270,plain,
    quotient(b,product(b,product(c,b))) = quotient(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,b)),bigC(b,b,c)) )],[refute_0_5615,refute_0_19269]) ).

cnf(refute_0_19271,plain,
    ( quotient(b,product(b,product(c,b))) != product(product(quotient(c,a),b),b)
    | quotient(b,product(b,product(c,b))) != quotient(b,bigC(b,b,c))
    | quotient(b,bigC(b,b,c)) = product(product(quotient(c,a),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,product(b,product(c,b))),product(product(quotient(c,a),b),b)) ),[0],$fot(quotient(b,bigC(b,b,c)))]]) ).

cnf(refute_0_19272,plain,
    ( quotient(b,product(b,product(c,b))) != product(product(quotient(c,a),b),b)
    | quotient(b,bigC(b,b,c)) = product(product(quotient(c,a),b),b) ),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,product(c,b))),quotient(b,bigC(b,b,c))) )],[refute_0_19270,refute_0_19271]) ).

cnf(refute_0_19273,plain,
    quotient(b,bigC(b,b,c)) = product(product(quotient(c,a),b),b),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,product(c,b))),product(product(quotient(c,a),b),b)) )],[refute_0_19266,refute_0_19272]) ).

cnf(refute_0_19274,plain,
    bigC(b,quotient(b,c),b) = bigC(b,b,quotient(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(quotient(b,c)))]]) ).

cnf(refute_0_19275,plain,
    bigC(b,difference(b,product(quotient(c,a),b)),X_23) = product(product(quotient(c,a),b),product(X_23,b)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(quotient(c,a),b))),bind(X_21,$fot(b))]]) ).

cnf(refute_0_19276,plain,
    quotient(b,difference(difference(b,product(quotient(c,a),b)),b)) = difference(b,product(quotient(c,a),b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(b)),bind(X_6,$fot(difference(b,product(quotient(c,a),b))))]]) ).

cnf(refute_0_19277,plain,
    difference(product(quotient(b,quotient(c,b)),b),b) = product(b,product(b,quotient(quotient(b,quotient(c,b)),b))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(quotient(b,quotient(c,b)))),bind(X_20,$fot(b))]]) ).

cnf(refute_0_19278,plain,
    quotient(quotient(b,product(b,difference(quotient(c,b),quotient(a,c)))),b) = difference(b,product(difference(quotient(c,b),quotient(a,c)),b)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(b)),bind(X_29,$fot(difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_19279,plain,
    ( product(b,difference(quotient(c,b),quotient(a,c))) != quotient(c,b)
    | quotient(quotient(b,product(b,difference(quotient(c,b),quotient(a,c)))),b) != difference(b,product(difference(quotient(c,b),quotient(a,c)),b))
    | quotient(quotient(b,quotient(c,b)),b) = difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,product(b,difference(quotient(c,b),quotient(a,c)))),b),difference(b,product(difference(quotient(c,b),quotient(a,c)),b))) ),[0,0,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_19280,plain,
    ( quotient(quotient(b,product(b,difference(quotient(c,b),quotient(a,c)))),b) != difference(b,product(difference(quotient(c,b),quotient(a,c)),b))
    | quotient(quotient(b,quotient(c,b)),b) = difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(quotient(c,b),quotient(a,c))),quotient(c,b)) )],[refute_0_16168,refute_0_19279]) ).

cnf(refute_0_19281,plain,
    quotient(quotient(b,quotient(c,b)),b) = difference(b,product(difference(quotient(c,b),quotient(a,c)),b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,product(b,difference(quotient(c,b),quotient(a,c)))),b),difference(b,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19278,refute_0_19280]) ).

cnf(refute_0_19282,plain,
    difference(c,product(c,product(difference(quotient(c,b),quotient(a,c)),b))) = product(difference(quotient(c,b),quotient(a,c)),b),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(difference(quotient(c,b),quotient(a,c)),b)))]]) ).

cnf(refute_0_19283,plain,
    quotient(product(a,c),difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(a,c))),bind(X_6,$fot(product(c,product(difference(quotient(c,b),quotient(a,c)),b))))]]) ).

cnf(refute_0_19284,plain,
    difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) = product(a,c),
    inference(subst,[],[refute_0_16962:[bind(X_22,$fot(product(difference(quotient(c,b),quotient(a,c)),c)))]]) ).

cnf(refute_0_19285,plain,
    ( bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)) != product(a,c)
    | difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) != product(a,c)
    | difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))),product(a,c)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_19286,plain,
    ( difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))) != product(a,c)
    | difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) )],[refute_0_2576,refute_0_19285]) ).

cnf(refute_0_19287,plain,
    difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),bigC(c,product(a,c),product(difference(quotient(c,b),quotient(a,c)),c))),product(a,c)) )],[refute_0_19284,refute_0_19286]) ).

cnf(refute_0_19288,plain,
    bigC(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,b))),bind(X_23,$fot(product(difference(b,product(c,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_19289,plain,
    difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),quotient(difference(b,product(c,product(c,b))),product(c,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(difference(b,product(c,product(c,b))))),bind(X_20,$fot(product(c,b)))]]) ).

cnf(refute_0_19290,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(difference(b,product(c,product(c,b))),product(c,b))))
    | quotient(difference(b,product(c,product(c,b))),product(c,b)) != difference(product(c,b),product(a,c))
    | difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(difference(b,product(c,product(c,b))),product(c,b))))) ),[1,1,1],$fot(difference(product(c,b),product(a,c)))]]) ).

cnf(refute_0_19291,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(difference(b,product(c,product(c,b))),product(c,b))))
    | difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(b,product(c,product(c,b))),product(c,b)),difference(product(c,b),product(a,c))) )],[refute_0_18900,refute_0_19290]) ).

cnf(refute_0_19292,plain,
    difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(difference(b,product(c,product(c,b))),product(c,b))))) )],[refute_0_19289,refute_0_19291]) ).

cnf(refute_0_19293,plain,
    product(product(c,b),difference(product(c,b),product(a,c))) = product(a,c),
    inference(subst,[],[sos02:[bind(A,$fot(product(c,b))),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_19294,plain,
    product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))))]]) ).

cnf(refute_0_19295,plain,
    ( product(product(c,b),difference(product(c,b),product(a,c))) != product(a,c)
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) != product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c))))
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = product(product(c,b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))),product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_19296,plain,
    ( product(product(c,b),difference(product(c,b),product(a,c))) != product(a,c)
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = product(product(c,b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))),product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c))))) )],[refute_0_19294,refute_0_19295]) ).

cnf(refute_0_19297,plain,
    product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = product(product(c,b),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(product(c,b),product(a,c))),product(a,c)) )],[refute_0_19293,refute_0_19296]) ).

cnf(refute_0_19298,plain,
    ( product(product(c,b),product(a,c)) != c
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) != product(product(c,b),product(a,c))
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))))),bind(Y,$fot(product(product(c,b),product(a,c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_19299,plain,
    ( product(product(c,b),product(a,c)) != c
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))),product(product(c,b),product(a,c))) )],[refute_0_19297,refute_0_19298]) ).

cnf(refute_0_19300,plain,
    product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) = c,
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),c) )],[refute_0_3809,refute_0_19299]) ).

cnf(refute_0_19301,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c))))
    | product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))) != c
    | difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),c) ),[0],$fot(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))))]]) ).

cnf(refute_0_19302,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c))))
    | difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c)))),c) )],[refute_0_19300,refute_0_19301]) ).

cnf(refute_0_19303,plain,
    difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) = c,
    inference(resolve,[$cnf( $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),difference(product(c,b),product(a,c))))) )],[refute_0_19292,refute_0_19302]) ).

cnf(refute_0_19304,plain,
    ( bigC(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))
    | difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != c
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_19305,plain,
    ( bigC(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),c) )],[refute_0_19303,refute_0_19304]) ).

cnf(refute_0_19306,plain,
    bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))) )],[refute_0_19288,refute_0_19305]) ).

cnf(refute_0_19307,plain,
    product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) = product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),
    introduced(tautology,[refl,[$fot(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22))]]) ).

cnf(refute_0_19308,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != c
    | product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) != product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22)
    | product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) = product(c,X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_19309,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != c
    | product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) = product(c,X_22) ),
    inference(resolve,[$cnf( $equal(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22)) )],[refute_0_19307,refute_0_19308]) ).

cnf(refute_0_19310,plain,
    product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) = product(c,X_22),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),c) )],[refute_0_19303,refute_0_19309]) ).

cnf(refute_0_19311,plain,
    product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)))]]) ).

cnf(refute_0_19312,plain,
    ( product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) != product(c,X_22)
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) != product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(product(c,X_22),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))) ),[1,0],$fot(product(c,X_22))]]) ).

cnf(refute_0_19313,plain,
    ( product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22) != product(c,X_22)
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(product(c,X_22),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))) )],[refute_0_19311,refute_0_19312]) ).

cnf(refute_0_19314,plain,
    product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(product(c,X_22),product(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,X_22)) )],[refute_0_19310,refute_0_19313]) ).

cnf(refute_0_19315,plain,
    ( product(product(c,X_22),product(c,b)) != product(c,product(X_22,b))
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) != product(product(c,X_22),product(c,b))
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(c,product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)))),bind(Y,$fot(product(product(c,X_22),product(c,b)))),bind(Z,$fot(product(c,product(X_22,b))))]]) ).

cnf(refute_0_19316,plain,
    ( product(product(c,X_22),product(c,b)) != product(c,product(X_22,b))
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),product(product(c,X_22),product(c,b))) )],[refute_0_19314,refute_0_19315]) ).

cnf(refute_0_19317,plain,
    product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(product(c,X_22),product(c,b)),product(c,product(X_22,b))) )],[refute_0_12735,refute_0_19316]) ).

cnf(refute_0_19318,plain,
    ( bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))
    | product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)) != product(c,product(X_22,b))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(c,product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(c,product(X_22,b))) ),[0],$fot(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)))]]) ).

cnf(refute_0_19319,plain,
    ( bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b)),product(c,product(X_22,b))) )],[refute_0_19317,refute_0_19318]) ).

cnf(refute_0_19320,plain,
    bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(product(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),X_22),product(c,b))) )],[refute_0_19306,refute_0_19319]) ).

cnf(refute_0_19321,plain,
    bigC(c,X_22,difference(c,product(a,b))) = product(product(a,b),product(X_22,c)),
    inference(subst,[],[refute_0_777:[bind(B,$fot(product(a,b))),bind(X_21,$fot(c)),bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_19322,plain,
    quotient(product(c,b),difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b))) = product(difference(b,product(c,product(c,b))),product(c,b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(c,b))),bind(X_6,$fot(product(difference(b,product(c,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_19323,plain,
    ( difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)) != c
    | quotient(product(c,b),difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b))) != product(difference(b,product(c,product(c,b))),product(c,b))
    | quotient(product(c,b),c) = product(difference(b,product(c,product(c,b))),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b))),product(difference(b,product(c,product(c,b))),product(c,b))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_19324,plain,
    ( quotient(product(c,b),difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b))) != product(difference(b,product(c,product(c,b))),product(c,b))
    | quotient(product(c,b),c) = product(difference(b,product(c,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b)),c) )],[refute_0_19303,refute_0_19323]) ).

cnf(refute_0_19325,plain,
    quotient(product(c,b),c) = product(difference(b,product(c,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(product(difference(b,product(c,product(c,b))),product(c,b)),product(c,b))),product(difference(b,product(c,product(c,b))),product(c,b))) )],[refute_0_19322,refute_0_19324]) ).

cnf(refute_0_19326,plain,
    ( quotient(product(c,b),c) != difference(c,product(a,b))
    | quotient(product(c,b),c) != product(difference(b,product(c,product(c,b))),product(c,b))
    | difference(c,product(a,b)) = product(difference(b,product(c,product(c,b))),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),c),product(difference(b,product(c,product(c,b))),product(c,b))) ),[0],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_19327,plain,
    ( quotient(product(c,b),c) != product(difference(b,product(c,product(c,b))),product(c,b))
    | difference(c,product(a,b)) = product(difference(b,product(c,product(c,b))),product(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),difference(c,product(a,b))) )],[refute_0_12366,refute_0_19326]) ).

cnf(refute_0_19328,plain,
    difference(c,product(a,b)) = product(difference(b,product(c,product(c,b))),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),c),product(difference(b,product(c,product(c,b))),product(c,b))) )],[refute_0_19325,refute_0_19327]) ).

cnf(refute_0_19329,plain,
    ( difference(c,product(a,b)) != product(difference(b,product(c,product(c,b))),product(c,b))
    | product(difference(b,product(c,product(c,b))),product(c,b)) = difference(c,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(a,b)))),bind(Y,$fot(product(difference(b,product(c,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_19330,plain,
    product(difference(b,product(c,product(c,b))),product(c,b)) = difference(c,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),product(difference(b,product(c,product(c,b))),product(c,b))) )],[refute_0_19328,refute_0_19329]) ).

cnf(refute_0_19331,plain,
    bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))))]]) ).

cnf(refute_0_19332,plain,
    ( bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b)))
    | product(difference(b,product(c,product(c,b))),product(c,b)) != difference(c,product(a,b))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = bigC(c,X_22,difference(c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b)))) ),[1,2],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_19333,plain,
    ( product(difference(b,product(c,product(c,b))),product(c,b)) != difference(c,product(a,b))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = bigC(c,X_22,difference(c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b)))) )],[refute_0_19331,refute_0_19332]) ).

cnf(refute_0_19334,plain,
    bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = bigC(c,X_22,difference(c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(difference(b,product(c,product(c,b))),product(c,b)),difference(c,product(a,b))) )],[refute_0_19330,refute_0_19333]) ).

cnf(refute_0_19335,plain,
    ( bigC(c,X_22,difference(c,product(a,b))) != product(product(a,b),product(X_22,c))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != bigC(c,X_22,difference(c,product(a,b)))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(a,b),product(X_22,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))))),bind(Y,$fot(bigC(c,X_22,difference(c,product(a,b))))),bind(Z,$fot(product(product(a,b),product(X_22,c))))]]) ).

cnf(refute_0_19336,plain,
    ( bigC(c,X_22,difference(c,product(a,b))) != product(product(a,b),product(X_22,c))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(a,b),product(X_22,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),bigC(c,X_22,difference(c,product(a,b)))) )],[refute_0_19334,refute_0_19335]) ).

cnf(refute_0_19337,plain,
    bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) = product(product(a,b),product(X_22,c)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,difference(c,product(a,b))),product(product(a,b),product(X_22,c))) )],[refute_0_19321,refute_0_19336]) ).

cnf(refute_0_19338,plain,
    ( bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(c,product(X_22,b))
    | bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(product(a,b),product(X_22,c))
    | product(product(a,b),product(X_22,c)) = product(c,product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(c,product(X_22,b))) ),[0],$fot(product(product(a,b),product(X_22,c)))]]) ).

cnf(refute_0_19339,plain,
    ( bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))) != product(c,product(X_22,b))
    | product(product(a,b),product(X_22,c)) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(product(a,b),product(X_22,c))) )],[refute_0_19337,refute_0_19338]) ).

cnf(refute_0_19340,plain,
    product(product(a,b),product(X_22,c)) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(difference(b,product(c,product(c,b))),product(c,b))),product(c,product(X_22,b))) )],[refute_0_19320,refute_0_19339]) ).

cnf(refute_0_19341,plain,
    product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)),
    inference(subst,[],[refute_0_19340:[bind(X_22,$fot(difference(quotient(c,b),quotient(a,c))))]]) ).

cnf(refute_0_19342,plain,
    difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)))]]) ).

cnf(refute_0_19343,plain,
    ( difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) != difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c))
    | product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)),difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c))) ),[1,0],$fot(product(c,product(difference(quotient(c,b),quotient(a,c)),b)))]]) ).

cnf(refute_0_19344,plain,
    ( product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)),difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c))) )],[refute_0_19342,refute_0_19343]) ).

cnf(refute_0_19345,plain,
    difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) = difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(c,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19341,refute_0_19344]) ).

cnf(refute_0_19346,plain,
    ( difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) != difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))
    | difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) != product(a,c)
    | difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)),product(a,c)) ),[0],$fot(difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)))]]) ).

cnf(refute_0_19347,plain,
    ( difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)) != product(a,c)
    | difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)),difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))) )],[refute_0_19345,refute_0_19346]) ).

cnf(refute_0_19348,plain,
    difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(difference(quotient(c,b),quotient(a,c)),c)),product(a,c)),product(a,c)) )],[refute_0_19287,refute_0_19347]) ).

cnf(refute_0_19349,plain,
    ( difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) != product(a,c)
    | quotient(product(a,c),difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | quotient(product(a,c),product(a,c)) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))),product(c,product(difference(quotient(c,b),quotient(a,c)),b))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_19350,plain,
    ( quotient(product(a,c),difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | quotient(product(a,c),product(a,c)) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)),product(a,c)) )],[refute_0_19348,refute_0_19349]) ).

cnf(refute_0_19351,plain,
    quotient(product(a,c),product(a,c)) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),difference(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c))),product(c,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19283,refute_0_19350]) ).

cnf(refute_0_19352,plain,
    quotient(product(a,c),product(a,c)) = product(a,c),
    inference(subst,[],[refute_0_435:[bind(X_7,$fot(product(a,c)))]]) ).

cnf(refute_0_19353,plain,
    ( quotient(product(a,c),product(a,c)) != product(a,c)
    | quotient(product(a,c),product(a,c)) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | product(a,c) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(a,c),product(a,c)),product(c,product(difference(quotient(c,b),quotient(a,c)),b))) ),[0],$fot(product(a,c))]]) ).

cnf(refute_0_19354,plain,
    ( quotient(product(a,c),product(a,c)) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | product(a,c) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,c)),product(a,c)) )],[refute_0_19352,refute_0_19353]) ).

cnf(refute_0_19355,plain,
    product(a,c) = product(c,product(difference(quotient(c,b),quotient(a,c)),b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(a,c)),product(c,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19351,refute_0_19354]) ).

cnf(refute_0_19356,plain,
    ( product(a,c) != product(c,product(difference(quotient(c,b),quotient(a,c)),b))
    | product(c,product(difference(quotient(c,b),quotient(a,c)),b)) = product(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,c))),bind(Y,$fot(product(c,product(difference(quotient(c,b),quotient(a,c)),b))))]]) ).

cnf(refute_0_19357,plain,
    product(c,product(difference(quotient(c,b),quotient(a,c)),b)) = product(a,c),
    inference(resolve,[$cnf( $equal(product(a,c),product(c,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19355,refute_0_19356]) ).

cnf(refute_0_19358,plain,
    ( difference(c,product(c,product(difference(quotient(c,b),quotient(a,c)),b))) != product(difference(quotient(c,b),quotient(a,c)),b)
    | product(c,product(difference(quotient(c,b),quotient(a,c)),b)) != product(a,c)
    | difference(c,product(a,c)) = product(difference(quotient(c,b),quotient(a,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(difference(quotient(c,b),quotient(a,c)),b))),product(difference(quotient(c,b),quotient(a,c)),b)) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_19359,plain,
    ( difference(c,product(c,product(difference(quotient(c,b),quotient(a,c)),b))) != product(difference(quotient(c,b),quotient(a,c)),b)
    | difference(c,product(a,c)) = product(difference(quotient(c,b),quotient(a,c)),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(difference(quotient(c,b),quotient(a,c)),b)),product(a,c)) )],[refute_0_19357,refute_0_19358]) ).

cnf(refute_0_19360,plain,
    difference(c,product(a,c)) = product(difference(quotient(c,b),quotient(a,c)),b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(difference(quotient(c,b),quotient(a,c)),b))),product(difference(quotient(c,b),quotient(a,c)),b)) )],[refute_0_19282,refute_0_19359]) ).

cnf(refute_0_19361,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | difference(c,product(a,c)) != product(difference(quotient(c,b),quotient(a,c)),b)
    | difference(b,c) = product(difference(quotient(c,b),quotient(a,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(a,c)),product(difference(quotient(c,b),quotient(a,c)),b)) ),[0],$fot(difference(b,c))]]) ).

cnf(refute_0_19362,plain,
    ( difference(c,product(a,c)) != product(difference(quotient(c,b),quotient(a,c)),b)
    | difference(b,c) = product(difference(quotient(c,b),quotient(a,c)),b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_19361]) ).

cnf(refute_0_19363,plain,
    difference(b,c) = product(difference(quotient(c,b),quotient(a,c)),b),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),product(difference(quotient(c,b),quotient(a,c)),b)) )],[refute_0_19360,refute_0_19362]) ).

cnf(refute_0_19364,plain,
    ( difference(b,c) != product(difference(quotient(c,b),quotient(a,c)),b)
    | product(difference(quotient(c,b),quotient(a,c)),b) = difference(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,c))),bind(Y,$fot(product(difference(quotient(c,b),quotient(a,c)),b)))]]) ).

cnf(refute_0_19365,plain,
    product(difference(quotient(c,b),quotient(a,c)),b) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(b,c),product(difference(quotient(c,b),quotient(a,c)),b)) )],[refute_0_19363,refute_0_19364]) ).

cnf(refute_0_19366,plain,
    difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) = difference(b,product(difference(quotient(c,b),quotient(a,c)),b)),
    introduced(tautology,[refl,[$fot(difference(b,product(difference(quotient(c,b),quotient(a,c)),b)))]]) ).

cnf(refute_0_19367,plain,
    ( difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) != difference(b,product(difference(quotient(c,b),quotient(a,c)),b))
    | product(difference(quotient(c,b),quotient(a,c)),b) != difference(b,c)
    | difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) = difference(b,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(difference(quotient(c,b),quotient(a,c)),b)),difference(b,product(difference(quotient(c,b),quotient(a,c)),b))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_19368,plain,
    ( product(difference(quotient(c,b),quotient(a,c)),b) != difference(b,c)
    | difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) = difference(b,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(difference(quotient(c,b),quotient(a,c)),b)),difference(b,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19366,refute_0_19367]) ).

cnf(refute_0_19369,plain,
    difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) = difference(b,difference(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,b),quotient(a,c)),b),difference(b,c)) )],[refute_0_19365,refute_0_19368]) ).

cnf(refute_0_19370,plain,
    ( difference(b,product(difference(quotient(c,b),quotient(a,c)),b)) != difference(b,difference(b,c))
    | quotient(quotient(b,quotient(c,b)),b) != difference(b,product(difference(quotient(c,b),quotient(a,c)),b))
    | quotient(quotient(b,quotient(c,b)),b) = difference(b,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(b,quotient(c,b)),b),difference(b,product(difference(quotient(c,b),quotient(a,c)),b))) ),[1],$fot(difference(b,difference(b,c)))]]) ).

cnf(refute_0_19371,plain,
    ( quotient(quotient(b,quotient(c,b)),b) != difference(b,product(difference(quotient(c,b),quotient(a,c)),b))
    | quotient(quotient(b,quotient(c,b)),b) = difference(b,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(difference(quotient(c,b),quotient(a,c)),b)),difference(b,difference(b,c))) )],[refute_0_19369,refute_0_19370]) ).

cnf(refute_0_19372,plain,
    quotient(quotient(b,quotient(c,b)),b) = difference(b,difference(b,c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,quotient(c,b)),b),difference(b,product(difference(quotient(c,b),quotient(a,c)),b))) )],[refute_0_19281,refute_0_19371]) ).

cnf(refute_0_19373,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != product(b,product(b,quotient(quotient(b,quotient(c,b)),b)))
    | quotient(quotient(b,quotient(c,b)),b) != difference(b,difference(b,c))
    | difference(product(quotient(b,quotient(c,b)),b),b) = product(b,product(b,difference(b,difference(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),product(b,product(b,quotient(quotient(b,quotient(c,b)),b)))) ),[1,1,1],$fot(difference(b,difference(b,c)))]]) ).

cnf(refute_0_19374,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != product(b,product(b,quotient(quotient(b,quotient(c,b)),b)))
    | difference(product(quotient(b,quotient(c,b)),b),b) = product(b,product(b,difference(b,difference(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,quotient(c,b)),b),difference(b,difference(b,c))) )],[refute_0_19372,refute_0_19373]) ).

cnf(refute_0_19375,plain,
    difference(product(quotient(b,quotient(c,b)),b),b) = product(b,product(b,difference(b,difference(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),product(b,product(b,quotient(quotient(b,quotient(c,b)),b)))) )],[refute_0_19277,refute_0_19374]) ).

cnf(refute_0_19376,plain,
    product(b,difference(b,c)) = c,
    inference(subst,[],[sos02:[bind(A,$fot(b)),bind(B,$fot(c))]]) ).

cnf(refute_0_19377,plain,
    product(b,difference(b,difference(b,c))) = difference(b,c),
    inference(subst,[],[sos02:[bind(A,$fot(b)),bind(B,$fot(difference(b,c)))]]) ).

cnf(refute_0_19378,plain,
    product(b,product(b,difference(b,difference(b,c)))) = product(b,product(b,difference(b,difference(b,c)))),
    introduced(tautology,[refl,[$fot(product(b,product(b,difference(b,difference(b,c)))))]]) ).

cnf(refute_0_19379,plain,
    ( product(b,difference(b,difference(b,c))) != difference(b,c)
    | product(b,product(b,difference(b,difference(b,c)))) != product(b,product(b,difference(b,difference(b,c))))
    | product(b,product(b,difference(b,difference(b,c)))) = product(b,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(b,difference(b,difference(b,c)))),product(b,product(b,difference(b,difference(b,c))))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_19380,plain,
    ( product(b,difference(b,difference(b,c))) != difference(b,c)
    | product(b,product(b,difference(b,difference(b,c)))) = product(b,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(b,difference(b,difference(b,c)))),product(b,product(b,difference(b,difference(b,c))))) )],[refute_0_19378,refute_0_19379]) ).

cnf(refute_0_19381,plain,
    product(b,product(b,difference(b,difference(b,c)))) = product(b,difference(b,c)),
    inference(resolve,[$cnf( $equal(product(b,difference(b,difference(b,c))),difference(b,c)) )],[refute_0_19377,refute_0_19380]) ).

cnf(refute_0_19382,plain,
    ( product(b,difference(b,c)) != c
    | product(b,product(b,difference(b,difference(b,c)))) != product(b,difference(b,c))
    | product(b,product(b,difference(b,difference(b,c)))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(b,product(b,difference(b,difference(b,c)))))),bind(Y,$fot(product(b,difference(b,c)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_19383,plain,
    ( product(b,difference(b,c)) != c
    | product(b,product(b,difference(b,difference(b,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(b,product(b,difference(b,difference(b,c)))),product(b,difference(b,c))) )],[refute_0_19381,refute_0_19382]) ).

cnf(refute_0_19384,plain,
    product(b,product(b,difference(b,difference(b,c)))) = c,
    inference(resolve,[$cnf( $equal(product(b,difference(b,c)),c) )],[refute_0_19376,refute_0_19383]) ).

cnf(refute_0_19385,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != product(b,product(b,difference(b,difference(b,c))))
    | product(b,product(b,difference(b,difference(b,c)))) != c
    | difference(product(quotient(b,quotient(c,b)),b),b) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(quotient(b,quotient(c,b)),b),b),c) ),[0],$fot(product(b,product(b,difference(b,difference(b,c)))))]]) ).

cnf(refute_0_19386,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != product(b,product(b,difference(b,difference(b,c))))
    | difference(product(quotient(b,quotient(c,b)),b),b) = c ),
    inference(resolve,[$cnf( $equal(product(b,product(b,difference(b,difference(b,c)))),c) )],[refute_0_19384,refute_0_19385]) ).

cnf(refute_0_19387,plain,
    difference(product(quotient(b,quotient(c,b)),b),b) = c,
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),product(b,product(b,difference(b,difference(b,c))))) )],[refute_0_19375,refute_0_19386]) ).

cnf(refute_0_19388,plain,
    product(difference(b,quotient(c,a)),b) = difference(b,product(quotient(c,a),b)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(quotient(c,a))),bind(X_74,$fot(b))]]) ).

cnf(refute_0_19389,plain,
    product(quotient(quotient(b,quotient(c,b)),b),b) = quotient(b,quotient(c,b)),
    inference(subst,[],[sos04:[bind(A,$fot(quotient(b,quotient(c,b)))),bind(B,$fot(b))]]) ).

cnf(refute_0_19390,plain,
    ( product(quotient(quotient(b,quotient(c,b)),b),b) != quotient(b,quotient(c,b))
    | quotient(quotient(b,quotient(c,b)),b) != difference(b,difference(b,c))
    | product(difference(b,difference(b,c)),b) = quotient(b,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(quotient(b,quotient(c,b)),b),b),quotient(b,quotient(c,b))) ),[0,0],$fot(difference(b,difference(b,c)))]]) ).

cnf(refute_0_19391,plain,
    ( product(quotient(quotient(b,quotient(c,b)),b),b) != quotient(b,quotient(c,b))
    | product(difference(b,difference(b,c)),b) = quotient(b,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(b,quotient(c,b)),b),difference(b,difference(b,c))) )],[refute_0_19372,refute_0_19390]) ).

cnf(refute_0_19392,plain,
    product(difference(b,difference(b,c)),b) = quotient(b,quotient(c,b)),
    inference(resolve,[$cnf( $equal(product(quotient(quotient(b,quotient(c,b)),b),b),quotient(b,quotient(c,b))) )],[refute_0_19389,refute_0_19391]) ).

cnf(refute_0_19393,plain,
    difference(b,product(difference(b,c),b)) = difference(b,product(difference(b,c),b)),
    introduced(tautology,[refl,[$fot(difference(b,product(difference(b,c),b)))]]) ).

cnf(refute_0_19394,plain,
    ( difference(b,product(difference(b,c),b)) != difference(b,product(difference(b,c),b))
    | product(difference(b,c),b) != quotient(c,a)
    | difference(b,product(difference(b,c),b)) = difference(b,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(difference(b,c),b)),difference(b,product(difference(b,c),b))) ),[1,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_19395,plain,
    ( product(difference(b,c),b) != quotient(c,a)
    | difference(b,product(difference(b,c),b)) = difference(b,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(difference(b,c),b)),difference(b,product(difference(b,c),b))) )],[refute_0_19393,refute_0_19394]) ).

cnf(refute_0_19396,plain,
    difference(b,product(difference(b,c),b)) = difference(b,quotient(c,a)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),quotient(c,a)) )],[refute_0_16094,refute_0_19395]) ).

cnf(refute_0_19397,plain,
    product(difference(b,difference(b,c)),b) = difference(b,product(difference(b,c),b)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(difference(b,c))),bind(X_74,$fot(b))]]) ).

cnf(refute_0_19398,plain,
    ( difference(b,product(difference(b,c),b)) != difference(b,quotient(c,a))
    | product(difference(b,difference(b,c)),b) != difference(b,product(difference(b,c),b))
    | product(difference(b,difference(b,c)),b) = difference(b,quotient(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(b,difference(b,c)),b))),bind(Y,$fot(difference(b,product(difference(b,c),b)))),bind(Z,$fot(difference(b,quotient(c,a))))]]) ).

cnf(refute_0_19399,plain,
    ( difference(b,product(difference(b,c),b)) != difference(b,quotient(c,a))
    | product(difference(b,difference(b,c)),b) = difference(b,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,difference(b,c)),b),difference(b,product(difference(b,c),b))) )],[refute_0_19397,refute_0_19398]) ).

cnf(refute_0_19400,plain,
    product(difference(b,difference(b,c)),b) = difference(b,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(b,product(difference(b,c),b)),difference(b,quotient(c,a))) )],[refute_0_19396,refute_0_19399]) ).

cnf(refute_0_19401,plain,
    ( product(difference(b,difference(b,c)),b) != difference(b,quotient(c,a))
    | product(difference(b,difference(b,c)),b) != quotient(b,quotient(c,b))
    | difference(b,quotient(c,a)) = quotient(b,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,difference(b,c)),b),quotient(b,quotient(c,b))) ),[0],$fot(difference(b,quotient(c,a)))]]) ).

cnf(refute_0_19402,plain,
    ( product(difference(b,difference(b,c)),b) != quotient(b,quotient(c,b))
    | difference(b,quotient(c,a)) = quotient(b,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,difference(b,c)),b),difference(b,quotient(c,a))) )],[refute_0_19400,refute_0_19401]) ).

cnf(refute_0_19403,plain,
    difference(b,quotient(c,a)) = quotient(b,quotient(c,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,difference(b,c)),b),quotient(b,quotient(c,b))) )],[refute_0_19392,refute_0_19402]) ).

cnf(refute_0_19404,plain,
    ( difference(b,quotient(c,a)) != quotient(b,quotient(c,b))
    | quotient(b,quotient(c,b)) = difference(b,quotient(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,quotient(c,a)))),bind(Y,$fot(quotient(b,quotient(c,b))))]]) ).

cnf(refute_0_19405,plain,
    quotient(b,quotient(c,b)) = difference(b,quotient(c,a)),
    inference(resolve,[$cnf( $equal(difference(b,quotient(c,a)),quotient(b,quotient(c,b))) )],[refute_0_19403,refute_0_19404]) ).

cnf(refute_0_19406,plain,
    product(quotient(b,quotient(c,b)),b) = product(quotient(b,quotient(c,b)),b),
    introduced(tautology,[refl,[$fot(product(quotient(b,quotient(c,b)),b))]]) ).

cnf(refute_0_19407,plain,
    ( product(quotient(b,quotient(c,b)),b) != product(quotient(b,quotient(c,b)),b)
    | quotient(b,quotient(c,b)) != difference(b,quotient(c,a))
    | product(quotient(b,quotient(c,b)),b) = product(difference(b,quotient(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(b,quotient(c,b)),b),product(quotient(b,quotient(c,b)),b)) ),[1,0],$fot(difference(b,quotient(c,a)))]]) ).

cnf(refute_0_19408,plain,
    ( quotient(b,quotient(c,b)) != difference(b,quotient(c,a))
    | product(quotient(b,quotient(c,b)),b) = product(difference(b,quotient(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,quotient(c,b)),b),product(quotient(b,quotient(c,b)),b)) )],[refute_0_19406,refute_0_19407]) ).

cnf(refute_0_19409,plain,
    product(quotient(b,quotient(c,b)),b) = product(difference(b,quotient(c,a)),b),
    inference(resolve,[$cnf( $equal(quotient(b,quotient(c,b)),difference(b,quotient(c,a))) )],[refute_0_19405,refute_0_19408]) ).

cnf(refute_0_19410,plain,
    ( product(difference(b,quotient(c,a)),b) != difference(b,product(quotient(c,a),b))
    | product(quotient(b,quotient(c,b)),b) != product(difference(b,quotient(c,a)),b)
    | product(quotient(b,quotient(c,b)),b) = difference(b,product(quotient(c,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(b,quotient(c,b)),b))),bind(Y,$fot(product(difference(b,quotient(c,a)),b))),bind(Z,$fot(difference(b,product(quotient(c,a),b))))]]) ).

cnf(refute_0_19411,plain,
    ( product(difference(b,quotient(c,a)),b) != difference(b,product(quotient(c,a),b))
    | product(quotient(b,quotient(c,b)),b) = difference(b,product(quotient(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,quotient(c,b)),b),product(difference(b,quotient(c,a)),b)) )],[refute_0_19409,refute_0_19410]) ).

cnf(refute_0_19412,plain,
    product(quotient(b,quotient(c,b)),b) = difference(b,product(quotient(c,a),b)),
    inference(resolve,[$cnf( $equal(product(difference(b,quotient(c,a)),b),difference(b,product(quotient(c,a),b))) )],[refute_0_19388,refute_0_19411]) ).

cnf(refute_0_19413,plain,
    difference(product(quotient(b,quotient(c,b)),b),b) = difference(product(quotient(b,quotient(c,b)),b),b),
    introduced(tautology,[refl,[$fot(difference(product(quotient(b,quotient(c,b)),b),b))]]) ).

cnf(refute_0_19414,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != difference(product(quotient(b,quotient(c,b)),b),b)
    | product(quotient(b,quotient(c,b)),b) != difference(b,product(quotient(c,a),b))
    | difference(product(quotient(b,quotient(c,b)),b),b) = difference(difference(b,product(quotient(c,a),b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),difference(product(quotient(b,quotient(c,b)),b),b)) ),[1,0],$fot(difference(b,product(quotient(c,a),b)))]]) ).

cnf(refute_0_19415,plain,
    ( product(quotient(b,quotient(c,b)),b) != difference(b,product(quotient(c,a),b))
    | difference(product(quotient(b,quotient(c,b)),b),b) = difference(difference(b,product(quotient(c,a),b)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),difference(product(quotient(b,quotient(c,b)),b),b)) )],[refute_0_19413,refute_0_19414]) ).

cnf(refute_0_19416,plain,
    difference(product(quotient(b,quotient(c,b)),b),b) = difference(difference(b,product(quotient(c,a),b)),b),
    inference(resolve,[$cnf( $equal(product(quotient(b,quotient(c,b)),b),difference(b,product(quotient(c,a),b))) )],[refute_0_19412,refute_0_19415]) ).

cnf(refute_0_19417,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != c
    | difference(product(quotient(b,quotient(c,b)),b),b) != difference(difference(b,product(quotient(c,a),b)),b)
    | difference(difference(b,product(quotient(c,a),b)),b) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),c) ),[0],$fot(difference(difference(b,product(quotient(c,a),b)),b))]]) ).

cnf(refute_0_19418,plain,
    ( difference(product(quotient(b,quotient(c,b)),b),b) != c
    | difference(difference(b,product(quotient(c,a),b)),b) = c ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),difference(difference(b,product(quotient(c,a),b)),b)) )],[refute_0_19416,refute_0_19417]) ).

cnf(refute_0_19419,plain,
    difference(difference(b,product(quotient(c,a),b)),b) = c,
    inference(resolve,[$cnf( $equal(difference(product(quotient(b,quotient(c,b)),b),b),c) )],[refute_0_19387,refute_0_19418]) ).

cnf(refute_0_19420,plain,
    ( difference(difference(b,product(quotient(c,a),b)),b) != c
    | quotient(b,difference(difference(b,product(quotient(c,a),b)),b)) != difference(b,product(quotient(c,a),b))
    | quotient(b,c) = difference(b,product(quotient(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,difference(difference(b,product(quotient(c,a),b)),b)),difference(b,product(quotient(c,a),b))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_19421,plain,
    ( quotient(b,difference(difference(b,product(quotient(c,a),b)),b)) != difference(b,product(quotient(c,a),b))
    | quotient(b,c) = difference(b,product(quotient(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(difference(b,product(quotient(c,a),b)),b),c) )],[refute_0_19419,refute_0_19420]) ).

cnf(refute_0_19422,plain,
    quotient(b,c) = difference(b,product(quotient(c,a),b)),
    inference(resolve,[$cnf( $equal(quotient(b,difference(difference(b,product(quotient(c,a),b)),b)),difference(b,product(quotient(c,a),b))) )],[refute_0_19276,refute_0_19421]) ).

cnf(refute_0_19423,plain,
    ( quotient(b,c) != difference(b,product(quotient(c,a),b))
    | difference(b,product(quotient(c,a),b)) = quotient(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(b,c))),bind(Y,$fot(difference(b,product(quotient(c,a),b))))]]) ).

cnf(refute_0_19424,plain,
    difference(b,product(quotient(c,a),b)) = quotient(b,c),
    inference(resolve,[$cnf( $equal(quotient(b,c),difference(b,product(quotient(c,a),b))) )],[refute_0_19422,refute_0_19423]) ).

cnf(refute_0_19425,plain,
    ( bigC(b,difference(b,product(quotient(c,a),b)),X_23) != product(product(quotient(c,a),b),product(X_23,b))
    | difference(b,product(quotient(c,a),b)) != quotient(b,c)
    | bigC(b,quotient(b,c),X_23) = product(product(quotient(c,a),b),product(X_23,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(b,product(quotient(c,a),b)),X_23),product(product(quotient(c,a),b),product(X_23,b))) ),[0,1],$fot(quotient(b,c))]]) ).

cnf(refute_0_19426,plain,
    ( bigC(b,difference(b,product(quotient(c,a),b)),X_23) != product(product(quotient(c,a),b),product(X_23,b))
    | bigC(b,quotient(b,c),X_23) = product(product(quotient(c,a),b),product(X_23,b)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(quotient(c,a),b)),quotient(b,c)) )],[refute_0_19424,refute_0_19425]) ).

cnf(refute_0_19427,plain,
    bigC(b,quotient(b,c),X_23) = product(product(quotient(c,a),b),product(X_23,b)),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,product(quotient(c,a),b)),X_23),product(product(quotient(c,a),b),product(X_23,b))) )],[refute_0_19275,refute_0_19426]) ).

cnf(refute_0_19428,plain,
    product(product(quotient(c,a),b),product(X_23,b)) = product(product(quotient(c,a),X_23),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(quotient(c,a))),bind(X_64,$fot(X_23)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19429,plain,
    ( bigC(b,quotient(b,c),X_23) != product(product(quotient(c,a),b),product(X_23,b))
    | product(product(quotient(c,a),b),product(X_23,b)) != product(product(quotient(c,a),X_23),b)
    | bigC(b,quotient(b,c),X_23) = product(product(quotient(c,a),X_23),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,quotient(b,c),X_23),product(product(quotient(c,a),X_23),b)) ),[0],$fot(product(product(quotient(c,a),b),product(X_23,b)))]]) ).

cnf(refute_0_19430,plain,
    ( bigC(b,quotient(b,c),X_23) != product(product(quotient(c,a),b),product(X_23,b))
    | bigC(b,quotient(b,c),X_23) = product(product(quotient(c,a),X_23),b) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),product(X_23,b)),product(product(quotient(c,a),X_23),b)) )],[refute_0_19428,refute_0_19429]) ).

cnf(refute_0_19431,plain,
    bigC(b,quotient(b,c),X_23) = product(product(quotient(c,a),X_23),b),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(b,c),X_23),product(product(quotient(c,a),b),product(X_23,b))) )],[refute_0_19427,refute_0_19430]) ).

cnf(refute_0_19432,plain,
    ( bigC(b,quotient(b,c),X_23) != product(product(quotient(c,a),X_23),b)
    | product(product(quotient(c,a),X_23),b) = bigC(b,quotient(b,c),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,quotient(b,c),X_23))),bind(Y,$fot(product(product(quotient(c,a),X_23),b)))]]) ).

cnf(refute_0_19433,plain,
    product(product(quotient(c,a),X_23),b) = bigC(b,quotient(b,c),X_23),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(b,c),X_23),product(product(quotient(c,a),X_23),b)) )],[refute_0_19431,refute_0_19432]) ).

cnf(refute_0_19434,plain,
    product(product(quotient(c,a),b),b) = bigC(b,quotient(b,c),b),
    inference(subst,[],[refute_0_19433:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_19435,plain,
    ( bigC(b,quotient(b,c),b) != bigC(b,b,quotient(b,c))
    | product(product(quotient(c,a),b),b) != bigC(b,quotient(b,c),b)
    | product(product(quotient(c,a),b),b) = bigC(b,b,quotient(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(c,a),b),b))),bind(Y,$fot(bigC(b,quotient(b,c),b))),bind(Z,$fot(bigC(b,b,quotient(b,c))))]]) ).

cnf(refute_0_19436,plain,
    ( bigC(b,quotient(b,c),b) != bigC(b,b,quotient(b,c))
    | product(product(quotient(c,a),b),b) = bigC(b,b,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),b),bigC(b,quotient(b,c),b)) )],[refute_0_19434,refute_0_19435]) ).

cnf(refute_0_19437,plain,
    product(product(quotient(c,a),b),b) = bigC(b,b,quotient(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(b,c),b),bigC(b,b,quotient(b,c))) )],[refute_0_19274,refute_0_19436]) ).

cnf(refute_0_19438,plain,
    ( product(product(quotient(c,a),b),b) != bigC(b,b,quotient(b,c))
    | quotient(b,bigC(b,b,c)) != product(product(quotient(c,a),b),b)
    | quotient(b,bigC(b,b,c)) = bigC(b,b,quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,bigC(b,b,c)),product(product(quotient(c,a),b),b)) ),[1],$fot(bigC(b,b,quotient(b,c)))]]) ).

cnf(refute_0_19439,plain,
    ( quotient(b,bigC(b,b,c)) != product(product(quotient(c,a),b),b)
    | quotient(b,bigC(b,b,c)) = bigC(b,b,quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),b),bigC(b,b,quotient(b,c))) )],[refute_0_19437,refute_0_19438]) ).

cnf(refute_0_19440,plain,
    quotient(b,bigC(b,b,c)) = bigC(b,b,quotient(b,c)),
    inference(resolve,[$cnf( $equal(quotient(b,bigC(b,b,c)),product(product(quotient(c,a),b),b)) )],[refute_0_19273,refute_0_19439]) ).

cnf(refute_0_19441,plain,
    ( quotient(b,bigC(b,b,c)) != bigC(b,b,quotient(b,c))
    | bigC(b,b,quotient(b,c)) = quotient(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(b,bigC(b,b,c)))),bind(Y,$fot(bigC(b,b,quotient(b,c))))]]) ).

cnf(refute_0_19442,plain,
    bigC(b,b,quotient(b,c)) = quotient(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(b,bigC(b,b,c)),bigC(b,b,quotient(b,c))) )],[refute_0_19440,refute_0_19441]) ).

cnf(refute_0_19443,plain,
    ( bigC(b,b,quotient(b,c)) != quotient(b,bigC(b,b,c))
    | bigC(b,quotient(b,c),b) != bigC(b,b,quotient(b,c))
    | bigC(b,quotient(b,c),b) = quotient(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,quotient(b,c),b))),bind(Y,$fot(bigC(b,b,quotient(b,c)))),bind(Z,$fot(quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_19444,plain,
    ( bigC(b,b,quotient(b,c)) != quotient(b,bigC(b,b,c))
    | bigC(b,quotient(b,c),b) = quotient(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(b,c),b),bigC(b,b,quotient(b,c))) )],[refute_0_19274,refute_0_19443]) ).

cnf(refute_0_19445,plain,
    bigC(b,quotient(b,c),b) = quotient(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,b,quotient(b,c)),quotient(b,bigC(b,b,c))) )],[refute_0_19442,refute_0_19444]) ).

cnf(refute_0_19446,plain,
    product(a,bigC(b,quotient(b,c),b)) = product(a,bigC(b,quotient(b,c),b)),
    introduced(tautology,[refl,[$fot(product(a,bigC(b,quotient(b,c),b)))]]) ).

cnf(refute_0_19447,plain,
    ( bigC(b,quotient(b,c),b) != quotient(b,bigC(b,b,c))
    | product(a,bigC(b,quotient(b,c),b)) != product(a,bigC(b,quotient(b,c),b))
    | product(a,bigC(b,quotient(b,c),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,quotient(b,c),b)),product(a,bigC(b,quotient(b,c),b))) ),[1,1],$fot(quotient(b,bigC(b,b,c)))]]) ).

cnf(refute_0_19448,plain,
    ( bigC(b,quotient(b,c),b) != quotient(b,bigC(b,b,c))
    | product(a,bigC(b,quotient(b,c),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,quotient(b,c),b)),product(a,bigC(b,quotient(b,c),b))) )],[refute_0_19446,refute_0_19447]) ).

cnf(refute_0_19449,plain,
    product(a,bigC(b,quotient(b,c),b)) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(b,c),b),quotient(b,bigC(b,b,c))) )],[refute_0_19445,refute_0_19448]) ).

cnf(refute_0_19450,plain,
    product(product(a,a),bigC(b,quotient(b,c),b)) = product(product(a,a),bigC(b,quotient(b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),bigC(b,quotient(b,c),b)))]]) ).

cnf(refute_0_19451,plain,
    ( product(a,a) != a
    | product(product(a,a),bigC(b,quotient(b,c),b)) != product(product(a,a),bigC(b,quotient(b,c),b))
    | product(product(a,a),bigC(b,quotient(b,c),b)) = product(a,bigC(b,quotient(b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),bigC(b,quotient(b,c),b)),product(product(a,a),bigC(b,quotient(b,c),b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_19452,plain,
    ( product(a,a) != a
    | product(product(a,a),bigC(b,quotient(b,c),b)) = product(a,bigC(b,quotient(b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(b,quotient(b,c),b)),product(product(a,a),bigC(b,quotient(b,c),b))) )],[refute_0_19450,refute_0_19451]) ).

cnf(refute_0_19453,plain,
    product(product(a,a),bigC(b,quotient(b,c),b)) = product(a,bigC(b,quotient(b,c),b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_19452]) ).

cnf(refute_0_19454,plain,
    ( product(a,bigC(b,quotient(b,c),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,a),bigC(b,quotient(b,c),b)) != product(a,bigC(b,quotient(b,c),b))
    | product(product(a,a),bigC(b,quotient(b,c),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),bigC(b,quotient(b,c),b)))),bind(Y,$fot(product(a,bigC(b,quotient(b,c),b)))),bind(Z,$fot(product(a,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_19455,plain,
    ( product(a,bigC(b,quotient(b,c),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,a),bigC(b,quotient(b,c),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(b,quotient(b,c),b)),product(a,bigC(b,quotient(b,c),b))) )],[refute_0_19453,refute_0_19454]) ).

cnf(refute_0_19456,plain,
    product(product(a,a),bigC(b,quotient(b,c),b)) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,quotient(b,c),b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19449,refute_0_19455]) ).

cnf(refute_0_19457,plain,
    product(product(a,product(b,quotient(b,c))),product(a,b)) = product(product(a,a),bigC(b,quotient(b,c),b)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(a)),bind(C,$fot(a)),bind(D,$fot(b)),bind(X_82,$fot(quotient(b,c)))]]) ).

cnf(refute_0_19458,plain,
    ( product(product(a,a),bigC(b,quotient(b,c),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,product(b,quotient(b,c))),product(a,b)) != product(product(a,a),bigC(b,quotient(b,c),b))
    | product(product(a,product(b,quotient(b,c))),product(a,b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,quotient(b,c))),product(a,b)))),bind(Y,$fot(product(product(a,a),bigC(b,quotient(b,c),b)))),bind(Z,$fot(product(a,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_19459,plain,
    ( product(product(a,a),bigC(b,quotient(b,c),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,product(b,quotient(b,c))),product(a,b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,quotient(b,c))),product(a,b)),product(product(a,a),bigC(b,quotient(b,c),b))) )],[refute_0_19457,refute_0_19458]) ).

cnf(refute_0_19460,plain,
    product(product(a,product(b,quotient(b,c))),product(a,b)) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(b,quotient(b,c),b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19456,refute_0_19459]) ).

cnf(refute_0_19461,plain,
    ( product(product(a,c),product(product(a,b),b)) != product(product(a,product(b,quotient(b,c))),product(a,b))
    | product(product(a,product(b,quotient(b,c))),product(a,b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,c),product(product(a,b),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,c),product(product(a,b),b)),product(a,quotient(b,bigC(b,b,c)))) ),[0],$fot(product(product(a,product(b,quotient(b,c))),product(a,b)))]]) ).

cnf(refute_0_19462,plain,
    ( product(product(a,c),product(product(a,b),b)) != product(product(a,product(b,quotient(b,c))),product(a,b))
    | product(product(a,c),product(product(a,b),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,quotient(b,c))),product(a,b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19460,refute_0_19461]) ).

cnf(refute_0_19463,plain,
    ( product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))) != product(product(a,product(b,quotient(b,c))),product(a,b))
    | product(product(a,c),product(product(a,b),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(product(a,product(b,quotient(b,c))),product(a,b))) )],[refute_0_19262,refute_0_19462]) ).

cnf(refute_0_19464,plain,
    product(product(a,c),product(product(a,b),b)) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(product(a,b),difference(b,c),product(product(a,b),difference(b,c))),product(product(difference(b,c),product(a,b)),product(a,b))),product(product(product(product(difference(b,c),product(a,b)),product(a,b)),product(a,b)),product(a,b))),product(product(a,product(b,quotient(b,c))),product(a,b))) )],[refute_0_19103,refute_0_19463]) ).

cnf(refute_0_19465,plain,
    product(difference(b,c),product(product(a,b),c)) = product(difference(b,c),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(product(difference(b,c),product(product(a,b),c)))]]) ).

cnf(refute_0_19466,plain,
    ( product(difference(b,c),product(product(a,b),c)) != product(difference(b,c),product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | product(difference(b,c),product(product(a,b),c)) = product(difference(b,c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,c),product(product(a,b),c)),product(difference(b,c),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_19467,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(difference(b,c),product(product(a,b),c)) = product(difference(b,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(product(a,b),c)),product(difference(b,c),product(product(a,b),c))) )],[refute_0_19465,refute_0_19466]) ).

cnf(refute_0_19468,plain,
    product(difference(b,c),product(product(a,b),c)) = product(difference(b,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_19467]) ).

cnf(refute_0_19469,plain,
    product(difference(b,c),product(X_137,c)) = product(product(difference(b,c),X_137),product(difference(b,c),c)),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(difference(b,c))),bind(X_65,$fot(X_137)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_19470,plain,
    ( product(difference(b,c),c) != product(a,b)
    | product(difference(b,c),product(X_137,c)) != product(product(difference(b,c),X_137),product(difference(b,c),c))
    | product(difference(b,c),product(X_137,c)) = product(product(difference(b,c),X_137),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(b,c),product(X_137,c)),product(product(difference(b,c),X_137),product(difference(b,c),c))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_19471,plain,
    ( product(difference(b,c),product(X_137,c)) != product(product(difference(b,c),X_137),product(difference(b,c),c))
    | product(difference(b,c),product(X_137,c)) = product(product(difference(b,c),X_137),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_16352,refute_0_19470]) ).

cnf(refute_0_19472,plain,
    product(difference(b,c),product(X_137,c)) = product(product(difference(b,c),X_137),product(a,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(X_137,c)),product(product(difference(b,c),X_137),product(difference(b,c),c))) )],[refute_0_19469,refute_0_19471]) ).

cnf(refute_0_19473,plain,
    product(product(difference(b,c),X_137),product(a,b)) = product(product(a,c),product(X_137,b)),
    inference(subst,[],[refute_0_13809:[bind(B,$fot(X_137)),bind(D,$fot(b))]]) ).

cnf(refute_0_19474,plain,
    ( product(difference(b,c),product(X_137,c)) != product(product(difference(b,c),X_137),product(a,b))
    | product(product(difference(b,c),X_137),product(a,b)) != product(product(a,c),product(X_137,b))
    | product(difference(b,c),product(X_137,c)) = product(product(a,c),product(X_137,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(difference(b,c),product(X_137,c)),product(product(a,c),product(X_137,b))) ),[0],$fot(product(product(difference(b,c),X_137),product(a,b)))]]) ).

cnf(refute_0_19475,plain,
    ( product(difference(b,c),product(X_137,c)) != product(product(difference(b,c),X_137),product(a,b))
    | product(difference(b,c),product(X_137,c)) = product(product(a,c),product(X_137,b)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(b,c),X_137),product(a,b)),product(product(a,c),product(X_137,b))) )],[refute_0_19473,refute_0_19474]) ).

cnf(refute_0_19476,plain,
    product(difference(b,c),product(X_137,c)) = product(product(a,c),product(X_137,b)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(X_137,c)),product(product(difference(b,c),X_137),product(a,b))) )],[refute_0_19472,refute_0_19475]) ).

cnf(refute_0_19477,plain,
    ( product(difference(b,c),product(X_137,c)) != product(product(a,c),product(X_137,b))
    | product(product(a,c),product(X_137,b)) = product(difference(b,c),product(X_137,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(difference(b,c),product(X_137,c)))),bind(Y,$fot(product(product(a,c),product(X_137,b))))]]) ).

cnf(refute_0_19478,plain,
    product(product(a,c),product(X_137,b)) = product(difference(b,c),product(X_137,c)),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(X_137,c)),product(product(a,c),product(X_137,b))) )],[refute_0_19476,refute_0_19477]) ).

cnf(refute_0_19479,plain,
    product(product(a,c),product(product(a,b),b)) = product(difference(b,c),product(product(a,b),c)),
    inference(subst,[],[refute_0_19478:[bind(X_137,$fot(product(a,b)))]]) ).

cnf(refute_0_19480,plain,
    ( product(difference(b,c),product(product(a,b),c)) != product(difference(b,c),product(c,product(c,b)))
    | product(product(a,c),product(product(a,b),b)) != product(difference(b,c),product(product(a,b),c))
    | product(product(a,c),product(product(a,b),b)) = product(difference(b,c),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(product(a,b),b)))),bind(Y,$fot(product(difference(b,c),product(product(a,b),c)))),bind(Z,$fot(product(difference(b,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_19481,plain,
    ( product(difference(b,c),product(product(a,b),c)) != product(difference(b,c),product(c,product(c,b)))
    | product(product(a,c),product(product(a,b),b)) = product(difference(b,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(difference(b,c),product(product(a,b),c))) )],[refute_0_19479,refute_0_19480]) ).

cnf(refute_0_19482,plain,
    product(product(a,c),product(product(a,b),b)) = product(difference(b,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(product(a,b),c)),product(difference(b,c),product(c,product(c,b)))) )],[refute_0_19468,refute_0_19481]) ).

cnf(refute_0_19483,plain,
    ( product(product(a,c),product(product(a,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,c),product(product(a,b),b)) != product(difference(b,c),product(c,product(c,b)))
    | product(difference(b,c),product(c,product(c,b))) = product(a,quotient(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(a,quotient(b,bigC(b,b,c)))) ),[0],$fot(product(difference(b,c),product(c,product(c,b))))]]) ).

cnf(refute_0_19484,plain,
    ( product(product(a,c),product(product(a,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(difference(b,c),product(c,product(c,b))) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(difference(b,c),product(c,product(c,b)))) )],[refute_0_19482,refute_0_19483]) ).

cnf(refute_0_19485,plain,
    product(difference(b,c),product(c,product(c,b))) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19464,refute_0_19484]) ).

cnf(refute_0_19486,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),b) != product(product(difference(b,c),product(c,product(c,b))),c)
    | product(difference(b,c),product(c,product(c,b))) != product(a,quotient(b,bigC(b,b,c)))
    | bigC(difference(b,c),product(c,product(c,b)),b) = product(product(a,quotient(b,bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),b),product(product(difference(b,c),product(c,product(c,b))),c)) ),[1,0],$fot(product(a,quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_19487,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),b) != product(product(difference(b,c),product(c,product(c,b))),c)
    | bigC(difference(b,c),product(c,product(c,b)),b) = product(product(a,quotient(b,bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(c,product(c,b))),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19485,refute_0_19486]) ).

cnf(refute_0_19488,plain,
    bigC(difference(b,c),product(c,product(c,b)),b) = product(product(a,quotient(b,bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),b),product(product(difference(b,c),product(c,product(c,b))),c)) )],[refute_0_28,refute_0_19487]) ).

cnf(refute_0_19489,plain,
    bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(difference(product(b,product(c,a)),c),product(c,difference(product(b,product(c,a)),c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(difference(product(b,product(c,a)),c))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_19490,plain,
    difference(quotient(c,product(c,difference(product(b,product(c,a)),c))),c) = product(c,difference(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(c,difference(product(b,product(c,a)),c)))),bind(X_9,$fot(c))]]) ).

cnf(refute_0_19491,plain,
    quotient(c,product(c,product(c,product(c,difference(quotient(c,a),quotient(b,c)))))) = product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(c,difference(quotient(c,a),quotient(b,c))))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_19492,plain,
    difference(product(product(difference(quotient(c,a),quotient(b,c)),c),c),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(difference(quotient(c,a),quotient(b,c)))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_19493,plain,
    quotient(quotient(c,difference(c,product(a,b))),product(quotient(c,difference(c,product(a,b))),c)) = product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(difference(c,product(a,b))))]]) ).

cnf(refute_0_19494,plain,
    ( quotient(c,difference(c,product(a,b))) != difference(c,product(b,c))
    | quotient(quotient(c,difference(c,product(a,b))),product(quotient(c,difference(c,product(a,b))),c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(quotient(c,difference(c,product(a,b))),c)),product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))) ),[0,1,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_19495,plain,
    ( quotient(quotient(c,difference(c,product(a,b))),product(quotient(c,difference(c,product(a,b))),c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(a,b))),difference(c,product(b,c))) )],[refute_0_13507,refute_0_19494]) ).

cnf(refute_0_19496,plain,
    quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(quotient(c,difference(c,product(a,b))),c)),product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))) )],[refute_0_19493,refute_0_19495]) ).

cnf(refute_0_19497,plain,
    quotient(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) = difference(c,bigC(b,b,c)),
    inference(subst,[],[sos03:[bind(A,$fot(difference(c,bigC(b,b,c)))),bind(B,$fot(product(b,a)))]]) ).

cnf(refute_0_19498,plain,
    quotient(product(b,a),difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))) = product(difference(c,bigC(b,b,c)),product(b,a)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(b,a))),bind(X_6,$fot(product(difference(c,bigC(b,b,c)),product(b,a))))]]) ).

cnf(refute_0_19499,plain,
    difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),quotient(difference(product(a,c),product(c,b)),product(b,a)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(difference(product(a,c),product(c,b)))),bind(X_20,$fot(product(b,a)))]]) ).

cnf(refute_0_19500,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(difference(product(a,c),product(c,b)),product(b,a))))
    | quotient(difference(product(a,c),product(c,b)),product(b,a)) != difference(product(b,a),product(c,b))
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(difference(product(a,c),product(c,b)),product(b,a))))) ),[1,1,1],$fot(difference(product(b,a),product(c,b)))]]) ).

cnf(refute_0_19501,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),quotient(difference(product(a,c),product(c,b)),product(b,a))))
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,c),product(c,b)),product(b,a)),difference(product(b,a),product(c,b))) )],[refute_0_11893,refute_0_19500]) ).

cnf(refute_0_19502,plain,
    difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),quotient(difference(product(a,c),product(c,b)),product(b,a))))) )],[refute_0_19499,refute_0_19501]) ).

cnf(refute_0_19503,plain,
    product(product(b,a),difference(product(b,a),product(c,b))) = product(c,b),
    inference(subst,[],[sos02:[bind(A,$fot(product(b,a))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_19504,plain,
    product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))))]]) ).

cnf(refute_0_19505,plain,
    ( product(product(b,a),difference(product(b,a),product(c,b))) != product(c,b)
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) != product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b))))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = product(product(b,a),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))),product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b))))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_19506,plain,
    ( product(product(b,a),difference(product(b,a),product(c,b))) != product(c,b)
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = product(product(b,a),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))),product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b))))) )],[refute_0_19504,refute_0_19505]) ).

cnf(refute_0_19507,plain,
    product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = product(product(b,a),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(b,a),product(c,b))),product(c,b)) )],[refute_0_19503,refute_0_19506]) ).

cnf(refute_0_19508,plain,
    ( product(product(b,a),product(c,b)) != c
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) != product(product(b,a),product(c,b))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))))),bind(Y,$fot(product(product(b,a),product(c,b)))),bind(Z,$fot(c))]]) ).

cnf(refute_0_19509,plain,
    ( product(product(b,a),product(c,b)) != c
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))),product(product(b,a),product(c,b))) )],[refute_0_19507,refute_0_19508]) ).

cnf(refute_0_19510,plain,
    product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) = c,
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,b)),c) )],[refute_0_2320,refute_0_19509]) ).

cnf(refute_0_19511,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b))))
    | product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))) != c
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),c) ),[0],$fot(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))))]]) ).

cnf(refute_0_19512,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b))))
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b)))),c) )],[refute_0_19510,refute_0_19511]) ).

cnf(refute_0_19513,plain,
    difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = c,
    inference(resolve,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),product(product(b,a),product(product(b,a),difference(product(b,a),product(c,b))))) )],[refute_0_19502,refute_0_19512]) ).

cnf(refute_0_19514,plain,
    product(difference(product(a,c),product(c,b)),product(b,a)) = product(difference(product(a,c),product(c,b)),product(b,a)),
    introduced(tautology,[refl,[$fot(product(difference(product(a,c),product(c,b)),product(b,a)))]]) ).

cnf(refute_0_19515,plain,
    ( difference(product(a,c),product(c,b)) != difference(c,bigC(b,b,c))
    | product(difference(product(a,c),product(c,b)),product(b,a)) != product(difference(product(a,c),product(c,b)),product(b,a))
    | product(difference(product(a,c),product(c,b)),product(b,a)) = product(difference(c,bigC(b,b,c)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,c),product(c,b)),product(b,a)),product(difference(product(a,c),product(c,b)),product(b,a))) ),[1,0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19516,plain,
    ( difference(product(a,c),product(c,b)) != difference(c,bigC(b,b,c))
    | product(difference(product(a,c),product(c,b)),product(b,a)) = product(difference(c,bigC(b,b,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(c,b)),product(b,a)),product(difference(product(a,c),product(c,b)),product(b,a))) )],[refute_0_19514,refute_0_19515]) ).

cnf(refute_0_19517,plain,
    product(difference(product(a,c),product(c,b)),product(b,a)) = product(difference(c,bigC(b,b,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,b)),difference(c,bigC(b,b,c))) )],[refute_0_11947,refute_0_19516]) ).

cnf(refute_0_19518,plain,
    difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),
    introduced(tautology,[refl,[$fot(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)))]]) ).

cnf(refute_0_19519,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a))
    | product(difference(product(a,c),product(c,b)),product(b,a)) != product(difference(c,bigC(b,b,c)),product(b,a))
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a))) ),[1,0],$fot(product(difference(c,bigC(b,b,c)),product(b,a)))]]) ).

cnf(refute_0_19520,plain,
    ( product(difference(product(a,c),product(c,b)),product(b,a)) != product(difference(c,bigC(b,b,c)),product(b,a))
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a))) )],[refute_0_19518,refute_0_19519]) ).

cnf(refute_0_19521,plain,
    difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) = difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)),
    inference(resolve,[$cnf( $equal(product(difference(product(a,c),product(c,b)),product(b,a)),product(difference(c,bigC(b,b,c)),product(b,a))) )],[refute_0_19517,refute_0_19520]) ).

cnf(refute_0_19522,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != c
    | difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))
    | difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),c) ),[0],$fot(difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)))]]) ).

cnf(refute_0_19523,plain,
    ( difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)) != c
    | difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) = c ),
    inference(resolve,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))) )],[refute_0_19521,refute_0_19522]) ).

cnf(refute_0_19524,plain,
    difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) = c,
    inference(resolve,[$cnf( $equal(difference(product(difference(product(a,c),product(c,b)),product(b,a)),product(b,a)),c) )],[refute_0_19513,refute_0_19523]) ).

cnf(refute_0_19525,plain,
    ( difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) != c
    | quotient(product(b,a),difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))) != product(difference(c,bigC(b,b,c)),product(b,a))
    | quotient(product(b,a),c) = product(difference(c,bigC(b,b,c)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))),product(difference(c,bigC(b,b,c)),product(b,a))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_19526,plain,
    ( quotient(product(b,a),difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))) != product(difference(c,bigC(b,b,c)),product(b,a))
    | quotient(product(b,a),c) = product(difference(c,bigC(b,b,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)),c) )],[refute_0_19524,refute_0_19525]) ).

cnf(refute_0_19527,plain,
    quotient(product(b,a),c) = product(difference(c,bigC(b,b,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),difference(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a))),product(difference(c,bigC(b,b,c)),product(b,a))) )],[refute_0_19498,refute_0_19526]) ).

cnf(refute_0_19528,plain,
    ( quotient(product(b,a),c) != difference(c,product(b,c))
    | quotient(product(b,a),c) != product(difference(c,bigC(b,b,c)),product(b,a))
    | difference(c,product(b,c)) = product(difference(c,bigC(b,b,c)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),c),product(difference(c,bigC(b,b,c)),product(b,a))) ),[0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_19529,plain,
    ( quotient(product(b,a),c) != product(difference(c,bigC(b,b,c)),product(b,a))
    | difference(c,product(b,c)) = product(difference(c,bigC(b,b,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),difference(c,product(b,c))) )],[refute_0_4191,refute_0_19528]) ).

cnf(refute_0_19530,plain,
    difference(c,product(b,c)) = product(difference(c,bigC(b,b,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),c),product(difference(c,bigC(b,b,c)),product(b,a))) )],[refute_0_19527,refute_0_19529]) ).

cnf(refute_0_19531,plain,
    ( difference(c,product(b,c)) != product(difference(c,bigC(b,b,c)),product(b,a))
    | product(difference(c,bigC(b,b,c)),product(b,a)) = difference(c,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,product(b,c)))),bind(Y,$fot(product(difference(c,bigC(b,b,c)),product(b,a))))]]) ).

cnf(refute_0_19532,plain,
    product(difference(c,bigC(b,b,c)),product(b,a)) = difference(c,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),product(difference(c,bigC(b,b,c)),product(b,a))) )],[refute_0_19530,refute_0_19531]) ).

cnf(refute_0_19533,plain,
    ( product(difference(c,bigC(b,b,c)),product(b,a)) != difference(c,product(b,c))
    | quotient(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) != difference(c,bigC(b,b,c))
    | quotient(difference(c,product(b,c)),product(b,a)) = difference(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)),difference(c,bigC(b,b,c))) ),[0,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_19534,plain,
    ( quotient(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)) != difference(c,bigC(b,b,c))
    | quotient(difference(c,product(b,c)),product(b,a)) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(c,bigC(b,b,c)),product(b,a)),difference(c,product(b,c))) )],[refute_0_19532,refute_0_19533]) ).

cnf(refute_0_19535,plain,
    quotient(difference(c,product(b,c)),product(b,a)) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(difference(c,bigC(b,b,c)),product(b,a)),product(b,a)),difference(c,bigC(b,b,c))) )],[refute_0_19497,refute_0_19534]) ).

cnf(refute_0_19536,plain,
    difference(c,product(product(b,c),c)) = quotient(c,product(c,b)),
    inference(subst,[],[refute_0_1997:[bind(B,$fot(b)),bind(X_18,$fot(c))]]) ).

cnf(refute_0_19537,plain,
    ( difference(c,product(product(b,c),c)) != quotient(c,product(c,b))
    | quotient(c,product(c,b)) != product(b,a)
    | difference(c,product(product(b,c),c)) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(c,product(product(b,c),c)))),bind(Y,$fot(quotient(c,product(c,b)))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_19538,plain,
    ( quotient(c,product(c,b)) != product(b,a)
    | difference(c,product(product(b,c),c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,c),c)),quotient(c,product(c,b))) )],[refute_0_19536,refute_0_19537]) ).

cnf(refute_0_19539,plain,
    difference(c,product(product(b,c),c)) = product(b,a),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,b)),product(b,a)) )],[refute_0_2091,refute_0_19538]) ).

cnf(refute_0_19540,plain,
    product(difference(c,product(b,c)),c) = difference(c,product(product(b,c),c)),
    inference(subst,[],[refute_0_819:[bind(B,$fot(product(b,c))),bind(X_74,$fot(c))]]) ).

cnf(refute_0_19541,plain,
    ( difference(c,product(product(b,c),c)) != product(b,a)
    | product(difference(c,product(b,c)),c) != difference(c,product(product(b,c),c))
    | product(difference(c,product(b,c)),c) = product(b,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(c,product(b,c)),c))),bind(Y,$fot(difference(c,product(product(b,c),c)))),bind(Z,$fot(product(b,a)))]]) ).

cnf(refute_0_19542,plain,
    ( difference(c,product(product(b,c),c)) != product(b,a)
    | product(difference(c,product(b,c)),c) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),c),difference(c,product(product(b,c),c))) )],[refute_0_19540,refute_0_19541]) ).

cnf(refute_0_19543,plain,
    product(difference(c,product(b,c)),c) = product(b,a),
    inference(resolve,[$cnf( $equal(difference(c,product(product(b,c),c)),product(b,a)) )],[refute_0_19539,refute_0_19542]) ).

cnf(refute_0_19544,plain,
    quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)))]]) ).

cnf(refute_0_19545,plain,
    ( product(difference(c,product(b,c)),c) != product(b,a)
    | quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) != quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c))
    | quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)),quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_19546,plain,
    ( product(difference(c,product(b,c)),c) != product(b,a)
    | quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)),quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c))) )],[refute_0_19544,refute_0_19545]) ).

cnf(refute_0_19547,plain,
    quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),c),product(b,a)) )],[refute_0_19543,refute_0_19546]) ).

cnf(refute_0_19548,plain,
    quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),
    introduced(tautology,[refl,[$fot(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)))]]) ).

cnf(refute_0_19549,plain,
    ( quotient(c,difference(c,product(a,b))) != difference(c,product(b,c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c))) ),[1,0],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_19550,plain,
    ( quotient(c,difference(c,product(a,b))) != difference(c,product(b,c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c))) )],[refute_0_19548,refute_0_19549]) ).

cnf(refute_0_19551,plain,
    quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(c,difference(c,product(a,b))),difference(c,product(b,c))) )],[refute_0_13507,refute_0_19550]) ).

cnf(refute_0_19552,plain,
    ( quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) != quotient(difference(c,product(b,c)),product(b,a))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)))),bind(Y,$fot(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)))),bind(Z,$fot(quotient(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_19553,plain,
    ( quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)) != quotient(difference(c,product(b,c)),product(b,a))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c))) )],[refute_0_19551,refute_0_19552]) ).

cnf(refute_0_19554,plain,
    quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = quotient(difference(c,product(b,c)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),product(difference(c,product(b,c)),c)),quotient(difference(c,product(b,c)),product(b,a))) )],[refute_0_19547,refute_0_19553]) ).

cnf(refute_0_19555,plain,
    ( quotient(difference(c,product(b,c)),product(b,a)) != difference(c,bigC(b,b,c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != quotient(difference(c,product(b,c)),product(b,a))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = difference(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)))),bind(Y,$fot(quotient(difference(c,product(b,c)),product(b,a)))),bind(Z,$fot(difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19556,plain,
    ( quotient(difference(c,product(b,c)),product(b,a)) != difference(c,bigC(b,b,c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),quotient(difference(c,product(b,c)),product(b,a))) )],[refute_0_19554,refute_0_19555]) ).

cnf(refute_0_19557,plain,
    quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),product(b,a)),difference(c,bigC(b,b,c))) )],[refute_0_19535,refute_0_19556]) ).

cnf(refute_0_19558,plain,
    ( quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != difference(c,bigC(b,b,c))
    | quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | difference(c,bigC(b,b,c)) = product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))) ),[0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19559,plain,
    ( quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | difference(c,bigC(b,b,c)) = product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),difference(c,bigC(b,b,c))) )],[refute_0_19557,refute_0_19558]) ).

cnf(refute_0_19560,plain,
    difference(c,product(c,quotient(b,c))) = quotient(b,c),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(quotient(b,c)))]]) ).

cnf(refute_0_19561,plain,
    ( difference(c,product(c,quotient(b,c))) != quotient(b,c)
    | product(c,quotient(b,c)) != difference(c,product(a,b))
    | difference(c,difference(c,product(a,b))) = quotient(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,quotient(b,c))),quotient(b,c)) ),[0,1],$fot(difference(c,product(a,b)))]]) ).

cnf(refute_0_19562,plain,
    ( difference(c,product(c,quotient(b,c))) != quotient(b,c)
    | difference(c,difference(c,product(a,b))) = quotient(b,c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,c)),difference(c,product(a,b))) )],[refute_0_12363,refute_0_19561]) ).

cnf(refute_0_19563,plain,
    difference(c,difference(c,product(a,b))) = quotient(b,c),
    inference(resolve,[$cnf( $equal(difference(c,product(c,quotient(b,c))),quotient(b,c)) )],[refute_0_19560,refute_0_19562]) ).

cnf(refute_0_19564,plain,
    difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) = difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))))]]) ).

cnf(refute_0_19565,plain,
    ( difference(c,difference(c,product(a,b))) != quotient(b,c)
    | difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) != difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b))))
    | difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) = difference(difference(c,product(a,b)),quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b))))) ),[1,1],$fot(quotient(b,c))]]) ).

cnf(refute_0_19566,plain,
    ( difference(c,difference(c,product(a,b))) != quotient(b,c)
    | difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) = difference(difference(c,product(a,b)),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b))))) )],[refute_0_19564,refute_0_19565]) ).

cnf(refute_0_19567,plain,
    difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) = difference(difference(c,product(a,b)),quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(c,product(a,b))),quotient(b,c)) )],[refute_0_19563,refute_0_19566]) ).

cnf(refute_0_19568,plain,
    product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) = product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c))]]) ).

cnf(refute_0_19569,plain,
    ( difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) != difference(difference(c,product(a,b)),quotient(b,c))
    | product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) != product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c)
    | product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c),product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c)) ),[1,0],$fot(difference(difference(c,product(a,b)),quotient(b,c)))]]) ).

cnf(refute_0_19570,plain,
    ( difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))) != difference(difference(c,product(a,b)),quotient(b,c))
    | product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c),product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c)) )],[refute_0_19568,refute_0_19569]) ).

cnf(refute_0_19571,plain,
    product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) = product(difference(difference(c,product(a,b)),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),difference(difference(c,product(a,b)),quotient(b,c))) )],[refute_0_19567,refute_0_19570]) ).

cnf(refute_0_19572,plain,
    product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) = product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(c)),bind(X_15,$fot(difference(c,product(a,b))))]]) ).

cnf(refute_0_19573,plain,
    ( product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) != product(difference(difference(c,product(a,b)),quotient(b,c)),c)
    | product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) != product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c)
    | product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))))),bind(Y,$fot(product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c))),bind(Z,$fot(product(difference(difference(c,product(a,b)),quotient(b,c)),c)))]]) ).

cnf(refute_0_19574,plain,
    ( product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c) != product(difference(difference(c,product(a,b)),quotient(b,c)),c)
    | product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))),product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c)) )],[refute_0_19572,refute_0_19573]) ).

cnf(refute_0_19575,plain,
    product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) = product(difference(difference(c,product(a,b)),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(a,b)),difference(c,difference(c,product(a,b)))),c),product(difference(difference(c,product(a,b)),quotient(b,c)),c)) )],[refute_0_19571,refute_0_19574]) ).

cnf(refute_0_19576,plain,
    ( difference(c,bigC(b,b,c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))) != product(difference(difference(c,product(a,b)),quotient(b,c)),c)
    | difference(c,bigC(b,b,c)) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(b,b,c)),product(difference(difference(c,product(a,b)),quotient(b,c)),c)) ),[0],$fot(product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))))]]) ).

cnf(refute_0_19577,plain,
    ( difference(c,bigC(b,b,c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | difference(c,bigC(b,b,c)) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b)))),product(difference(difference(c,product(a,b)),quotient(b,c)),c)) )],[refute_0_19575,refute_0_19576]) ).

cnf(refute_0_19578,plain,
    ( quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)) != product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))
    | difference(c,bigC(b,b,c)) = product(difference(difference(c,product(a,b)),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))) )],[refute_0_19559,refute_0_19577]) ).

cnf(refute_0_19579,plain,
    difference(c,bigC(b,b,c)) = product(difference(difference(c,product(a,b)),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,difference(c,product(a,b))),product(difference(c,product(b,c)),c)),product(product(difference(c,product(a,b)),quotient(c,difference(c,product(a,b)))),quotient(c,difference(c,product(a,b))))) )],[refute_0_19496,refute_0_19578]) ).

cnf(refute_0_19580,plain,
    difference(difference(c,product(a,b)),quotient(b,c)) = difference(difference(c,product(a,b)),quotient(b,c)),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(a,b)),quotient(b,c)))]]) ).

cnf(refute_0_19581,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | difference(difference(c,product(a,b)),quotient(b,c)) != difference(difference(c,product(a,b)),quotient(b,c))
    | difference(difference(c,product(a,b)),quotient(b,c)) = difference(quotient(c,a),quotient(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(a,b)),quotient(b,c)),difference(difference(c,product(a,b)),quotient(b,c))) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_19582,plain,
    ( difference(c,product(a,b)) != quotient(c,a)
    | difference(difference(c,product(a,b)),quotient(b,c)) = difference(quotient(c,a),quotient(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,b)),quotient(b,c)),difference(difference(c,product(a,b)),quotient(b,c))) )],[refute_0_19580,refute_0_19581]) ).

cnf(refute_0_19583,plain,
    difference(difference(c,product(a,b)),quotient(b,c)) = difference(quotient(c,a),quotient(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,b)),quotient(c,a)) )],[refute_0_12369,refute_0_19582]) ).

cnf(refute_0_19584,plain,
    product(difference(difference(c,product(a,b)),quotient(b,c)),c) = product(difference(difference(c,product(a,b)),quotient(b,c)),c),
    introduced(tautology,[refl,[$fot(product(difference(difference(c,product(a,b)),quotient(b,c)),c))]]) ).

cnf(refute_0_19585,plain,
    ( difference(difference(c,product(a,b)),quotient(b,c)) != difference(quotient(c,a),quotient(b,c))
    | product(difference(difference(c,product(a,b)),quotient(b,c)),c) != product(difference(difference(c,product(a,b)),quotient(b,c)),c)
    | product(difference(difference(c,product(a,b)),quotient(b,c)),c) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(difference(c,product(a,b)),quotient(b,c)),c),product(difference(difference(c,product(a,b)),quotient(b,c)),c)) ),[1,0],$fot(difference(quotient(c,a),quotient(b,c)))]]) ).

cnf(refute_0_19586,plain,
    ( difference(difference(c,product(a,b)),quotient(b,c)) != difference(quotient(c,a),quotient(b,c))
    | product(difference(difference(c,product(a,b)),quotient(b,c)),c) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(a,b)),quotient(b,c)),c),product(difference(difference(c,product(a,b)),quotient(b,c)),c)) )],[refute_0_19584,refute_0_19585]) ).

cnf(refute_0_19587,plain,
    product(difference(difference(c,product(a,b)),quotient(b,c)),c) = product(difference(quotient(c,a),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(a,b)),quotient(b,c)),difference(quotient(c,a),quotient(b,c))) )],[refute_0_19583,refute_0_19586]) ).

cnf(refute_0_19588,plain,
    ( difference(c,bigC(b,b,c)) != product(difference(difference(c,product(a,b)),quotient(b,c)),c)
    | product(difference(difference(c,product(a,b)),quotient(b,c)),c) != product(difference(quotient(c,a),quotient(b,c)),c)
    | difference(c,bigC(b,b,c)) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(b,b,c)),product(difference(quotient(c,a),quotient(b,c)),c)) ),[0],$fot(product(difference(difference(c,product(a,b)),quotient(b,c)),c))]]) ).

cnf(refute_0_19589,plain,
    ( difference(c,bigC(b,b,c)) != product(difference(difference(c,product(a,b)),quotient(b,c)),c)
    | difference(c,bigC(b,b,c)) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(difference(c,product(a,b)),quotient(b,c)),c),product(difference(quotient(c,a),quotient(b,c)),c)) )],[refute_0_19587,refute_0_19588]) ).

cnf(refute_0_19590,plain,
    difference(c,bigC(b,b,c)) = product(difference(quotient(c,a),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),product(difference(difference(c,product(a,b)),quotient(b,c)),c)) )],[refute_0_19579,refute_0_19589]) ).

cnf(refute_0_19591,plain,
    ( difference(c,bigC(b,b,c)) != product(difference(quotient(c,a),quotient(b,c)),c)
    | product(difference(quotient(c,a),quotient(b,c)),c) = difference(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,bigC(b,b,c)))),bind(Y,$fot(product(difference(quotient(c,a),quotient(b,c)),c)))]]) ).

cnf(refute_0_19592,plain,
    product(difference(quotient(c,a),quotient(b,c)),c) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),product(difference(quotient(c,a),quotient(b,c)),c)) )],[refute_0_19590,refute_0_19591]) ).

cnf(refute_0_19593,plain,
    ( difference(product(product(difference(quotient(c,a),quotient(b,c)),c),c),c) != product(c,product(c,difference(quotient(c,a),quotient(b,c))))
    | product(difference(quotient(c,a),quotient(b,c)),c) != difference(c,bigC(b,b,c))
    | difference(product(difference(c,bigC(b,b,c)),c),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,difference(quotient(c,a),quotient(b,c))))) ),[0,0,0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19594,plain,
    ( difference(product(product(difference(quotient(c,a),quotient(b,c)),c),c),c) != product(c,product(c,difference(quotient(c,a),quotient(b,c))))
    | difference(product(difference(c,bigC(b,b,c)),c),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,a),quotient(b,c)),c),difference(c,bigC(b,b,c))) )],[refute_0_19592,refute_0_19593]) ).

cnf(refute_0_19595,plain,
    difference(product(difference(c,bigC(b,b,c)),c),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,difference(quotient(c,a),quotient(b,c))))) )],[refute_0_19492,refute_0_19594]) ).

cnf(refute_0_19596,plain,
    difference(product(difference(c,bigC(b,b,c)),c),c) = difference(product(difference(c,bigC(b,b,c)),c),c),
    introduced(tautology,[refl,[$fot(difference(product(difference(c,bigC(b,b,c)),c),c))]]) ).

cnf(refute_0_19597,plain,
    ( difference(product(difference(c,bigC(b,b,c)),c),c) != difference(product(difference(c,bigC(b,b,c)),c),c)
    | product(difference(c,bigC(b,b,c)),c) != product(b,product(c,a))
    | difference(product(difference(c,bigC(b,b,c)),c),c) = difference(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,bigC(b,b,c)),c),c),difference(product(difference(c,bigC(b,b,c)),c),c)) ),[1,0],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_19598,plain,
    ( product(difference(c,bigC(b,b,c)),c) != product(b,product(c,a))
    | difference(product(difference(c,bigC(b,b,c)),c),c) = difference(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,bigC(b,b,c)),c),c),difference(product(difference(c,bigC(b,b,c)),c),c)) )],[refute_0_19596,refute_0_19597]) ).

cnf(refute_0_19599,plain,
    difference(product(difference(c,bigC(b,b,c)),c),c) = difference(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(product(difference(c,bigC(b,b,c)),c),product(b,product(c,a))) )],[refute_0_11847,refute_0_19598]) ).

cnf(refute_0_19600,plain,
    ( difference(product(difference(c,bigC(b,b,c)),c),c) != difference(product(b,product(c,a)),c)
    | difference(product(difference(c,bigC(b,b,c)),c),c) != product(c,product(c,difference(quotient(c,a),quotient(b,c))))
    | difference(product(b,product(c,a)),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(c,bigC(b,b,c)),c),c),product(c,product(c,difference(quotient(c,a),quotient(b,c))))) ),[0],$fot(difference(product(b,product(c,a)),c))]]) ).

cnf(refute_0_19601,plain,
    ( difference(product(difference(c,bigC(b,b,c)),c),c) != product(c,product(c,difference(quotient(c,a),quotient(b,c))))
    | difference(product(b,product(c,a)),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,bigC(b,b,c)),c),c),difference(product(b,product(c,a)),c)) )],[refute_0_19599,refute_0_19600]) ).

cnf(refute_0_19602,plain,
    difference(product(b,product(c,a)),c) = product(c,product(c,difference(quotient(c,a),quotient(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(difference(c,bigC(b,b,c)),c),c),product(c,product(c,difference(quotient(c,a),quotient(b,c))))) )],[refute_0_19595,refute_0_19601]) ).

cnf(refute_0_19603,plain,
    ( difference(product(b,product(c,a)),c) != product(c,product(c,difference(quotient(c,a),quotient(b,c))))
    | product(c,product(c,difference(quotient(c,a),quotient(b,c)))) = difference(product(b,product(c,a)),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(b,product(c,a)),c))),bind(Y,$fot(product(c,product(c,difference(quotient(c,a),quotient(b,c))))))]]) ).

cnf(refute_0_19604,plain,
    product(c,product(c,difference(quotient(c,a),quotient(b,c)))) = difference(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),c),product(c,product(c,difference(quotient(c,a),quotient(b,c))))) )],[refute_0_19602,refute_0_19603]) ).

cnf(refute_0_19605,plain,
    ( product(c,product(c,difference(quotient(c,a),quotient(b,c)))) != difference(product(b,product(c,a)),c)
    | quotient(c,product(c,product(c,product(c,difference(quotient(c,a),quotient(b,c)))))) != product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)
    | quotient(c,product(c,difference(product(b,product(c,a)),c))) = product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,product(c,difference(quotient(c,a),quotient(b,c)))))),product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)) ),[0,1,1],$fot(difference(product(b,product(c,a)),c))]]) ).

cnf(refute_0_19606,plain,
    ( quotient(c,product(c,product(c,product(c,difference(quotient(c,a),quotient(b,c)))))) != product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)
    | quotient(c,product(c,difference(product(b,product(c,a)),c))) = product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),difference(product(b,product(c,a)),c)) )],[refute_0_19604,refute_0_19605]) ).

cnf(refute_0_19607,plain,
    quotient(c,product(c,difference(product(b,product(c,a)),c))) = product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,product(c,difference(quotient(c,a),quotient(b,c)))))),product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)) )],[refute_0_19491,refute_0_19606]) ).

cnf(refute_0_19608,plain,
    product(c,difference(c,bigC(b,b,c))) = bigC(b,b,c),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_19609,plain,
    difference(product(b,c),product(product(b,c),difference(c,bigC(b,b,c)))) = difference(c,bigC(b,b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(b,c))),bind(B,$fot(difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19610,plain,
    quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(product(product(b,a),quotient(difference(c,product(b,c)),product(b,a))),quotient(difference(c,product(b,c)),product(b,a))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(difference(c,product(b,c)))),bind(X_17,$fot(product(b,a)))]]) ).

cnf(refute_0_19611,plain,
    ( quotient(difference(c,product(b,c)),product(b,a)) != difference(c,bigC(b,b,c))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(product(product(b,a),quotient(difference(c,product(b,c)),product(b,a))),quotient(difference(c,product(b,c)),product(b,a)))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))),product(product(product(b,a),quotient(difference(c,product(b,c)),product(b,a))),quotient(difference(c,product(b,c)),product(b,a)))) ),[1,0,1],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19612,plain,
    ( quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(product(product(b,a),quotient(difference(c,product(b,c)),product(b,a))),quotient(difference(c,product(b,c)),product(b,a)))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),product(b,a)),difference(c,bigC(b,b,c))) )],[refute_0_19535,refute_0_19611]) ).

cnf(refute_0_19613,plain,
    quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))),product(product(product(b,a),quotient(difference(c,product(b,c)),product(b,a))),quotient(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19610,refute_0_19612]) ).

cnf(refute_0_19614,plain,
    bigC(c,quotient(difference(c,product(b,c)),c),C) = product(product(c,quotient(difference(c,product(b,c)),c)),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(quotient(difference(c,product(b,c)),c)))]]) ).

cnf(refute_0_19615,plain,
    ( bigC(c,quotient(difference(c,product(b,c)),c),C) != product(product(c,quotient(difference(c,product(b,c)),c)),product(C,c))
    | product(c,quotient(difference(c,product(b,c)),c)) != b
    | bigC(c,quotient(difference(c,product(b,c)),c),C) = product(b,product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(difference(c,product(b,c)),c),C),product(product(c,quotient(difference(c,product(b,c)),c)),product(C,c))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_19616,plain,
    ( bigC(c,quotient(difference(c,product(b,c)),c),C) != product(product(c,quotient(difference(c,product(b,c)),c)),product(C,c))
    | bigC(c,quotient(difference(c,product(b,c)),c),C) = product(b,product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(c,product(b,c)),c)),b) )],[refute_0_13546,refute_0_19615]) ).

cnf(refute_0_19617,plain,
    bigC(c,quotient(difference(c,product(b,c)),c),C) = product(b,product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(difference(c,product(b,c)),c),C),product(product(c,quotient(difference(c,product(b,c)),c)),product(C,c))) )],[refute_0_19614,refute_0_19616]) ).

cnf(refute_0_19618,plain,
    bigC(c,quotient(difference(c,product(b,c)),c),C) = product(product(c,C),difference(c,product(b,c))),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(difference(c,product(b,c)))),bind(X_21,$fot(c)),bind(X_22,$fot(C))]]) ).

cnf(refute_0_19619,plain,
    ( bigC(c,quotient(difference(c,product(b,c)),c),C) != product(b,product(C,c))
    | bigC(c,quotient(difference(c,product(b,c)),c),C) != product(product(c,C),difference(c,product(b,c)))
    | product(product(c,C),difference(c,product(b,c))) = product(b,product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,quotient(difference(c,product(b,c)),c),C),product(b,product(C,c))) ),[0],$fot(product(product(c,C),difference(c,product(b,c))))]]) ).

cnf(refute_0_19620,plain,
    ( bigC(c,quotient(difference(c,product(b,c)),c),C) != product(b,product(C,c))
    | product(product(c,C),difference(c,product(b,c))) = product(b,product(C,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(difference(c,product(b,c)),c),C),product(product(c,C),difference(c,product(b,c)))) )],[refute_0_19618,refute_0_19619]) ).

cnf(refute_0_19621,plain,
    product(product(c,C),difference(c,product(b,c))) = product(b,product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(difference(c,product(b,c)),c),C),product(b,product(C,c))) )],[refute_0_19617,refute_0_19620]) ).

cnf(refute_0_19622,plain,
    product(product(c,b),difference(c,product(b,c))) = product(b,product(b,c)),
    inference(subst,[],[refute_0_19621:[bind(C,$fot(b))]]) ).

cnf(refute_0_19623,plain,
    difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_19624,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != difference(product(b,a),difference(difference(c,product(b,c)),product(b,a)))
    | difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = difference(product(b,a),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(product(b,a),difference(difference(c,product(b,c)),product(b,a)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_19625,plain,
    ( difference(difference(c,product(b,c)),product(b,a)) != c
    | difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = difference(product(b,a),c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(product(b,a),difference(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19623,refute_0_19624]) ).

cnf(refute_0_19626,plain,
    difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = difference(product(b,a),c),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,a)),c) )],[refute_0_4194,refute_0_19625]) ).

cnf(refute_0_19627,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != difference(product(b,a),c)
    | difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))))),bind(Y,$fot(difference(product(b,a),c))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_19628,plain,
    ( difference(product(b,a),c) != product(c,b)
    | difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(product(b,a),c)) )],[refute_0_19626,refute_0_19627]) ).

cnf(refute_0_19629,plain,
    difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(product(b,a),c),product(c,b)) )],[refute_0_3375,refute_0_19628]) ).

cnf(refute_0_19630,plain,
    product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))))]]) ).

cnf(refute_0_19631,plain,
    ( difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != product(c,b)
    | product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) != product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c)))
    | product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(product(c,b),difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))),product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c)))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_19632,plain,
    ( difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))) != product(c,b)
    | product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(product(c,b),difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))),product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c)))) )],[refute_0_19630,refute_0_19631]) ).

cnf(refute_0_19633,plain,
    product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(product(c,b),difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),product(c,b)) )],[refute_0_19629,refute_0_19632]) ).

cnf(refute_0_19634,plain,
    ( product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) != product(product(c,b),difference(c,product(b,c)))
    | product(product(c,b),difference(c,product(b,c))) != product(b,product(b,c))
    | product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))))),bind(Y,$fot(product(product(c,b),difference(c,product(b,c))))),bind(Z,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_19635,plain,
    ( product(product(c,b),difference(c,product(b,c))) != product(b,product(b,c))
    | product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))),product(product(c,b),difference(c,product(b,c)))) )],[refute_0_19633,refute_0_19634]) ).

cnf(refute_0_19636,plain,
    product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(c,product(b,c))),product(b,product(b,c))) )],[refute_0_19622,refute_0_19635]) ).

cnf(refute_0_19637,plain,
    quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(difference(c,product(b,c)))),bind(X_21,$fot(product(b,a)))]]) ).

cnf(refute_0_19638,plain,
    ( product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) != product(b,product(b,c))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c)))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))))),bind(Y,$fot(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))))),bind(Z,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_19639,plain,
    ( product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))) != product(b,product(b,c))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))),product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c)))) )],[refute_0_19637,refute_0_19638]) ).

cnf(refute_0_19640,plain,
    quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(b,a),difference(difference(c,product(b,c)),product(b,a))),difference(c,product(b,c))),product(b,product(b,c))) )],[refute_0_19636,refute_0_19639]) ).

cnf(refute_0_19641,plain,
    ( quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(b,product(b,c))
    | quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))
    | product(b,product(b,c)) = product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))),product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))) ),[0],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_19642,plain,
    ( quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))
    | product(b,product(b,c)) = product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))),product(b,product(b,c))) )],[refute_0_19640,refute_0_19641]) ).

cnf(refute_0_19643,plain,
    product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_19644,plain,
    ( product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) != product(product(b,c),quotient(difference(c,product(b,c)),product(b,a)))
    | quotient(difference(c,product(b,c)),product(b,a)) != difference(c,bigC(b,b,c))
    | product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))),product(product(b,c),quotient(difference(c,product(b,c)),product(b,a)))) ),[1,1],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19645,plain,
    ( quotient(difference(c,product(b,c)),product(b,a)) != difference(c,bigC(b,b,c))
    | product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))),product(product(b,c),quotient(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19643,refute_0_19644]) ).

cnf(refute_0_19646,plain,
    product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),difference(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(difference(c,product(b,c)),product(b,a)),difference(c,bigC(b,b,c))) )],[refute_0_19535,refute_0_19645]) ).

cnf(refute_0_19647,plain,
    product(product(b,a),difference(product(b,a),product(b,c))) = product(b,c),
    inference(subst,[],[sos02:[bind(A,$fot(product(b,a))),bind(B,$fot(product(b,c)))]]) ).

cnf(refute_0_19648,plain,
    ( difference(c,bigC(c,b,b)) != difference(product(b,a),product(b,c))
    | difference(product(b,a),product(b,c)) = difference(c,bigC(c,b,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,bigC(c,b,b)))),bind(Y,$fot(difference(product(b,a),product(b,c))))]]) ).

cnf(refute_0_19649,plain,
    difference(product(b,a),product(b,c)) = difference(c,bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(product(b,a),product(b,c))) )],[refute_0_11927,refute_0_19648]) ).

cnf(refute_0_19650,plain,
    ( difference(product(b,a),product(b,c)) != difference(c,bigC(c,b,b))
    | product(product(b,a),difference(product(b,a),product(b,c))) != product(b,c)
    | product(product(b,a),difference(c,bigC(c,b,b))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(product(b,a),product(b,c))),product(b,c)) ),[0,1],$fot(difference(c,bigC(c,b,b)))]]) ).

cnf(refute_0_19651,plain,
    ( product(product(b,a),difference(product(b,a),product(b,c))) != product(b,c)
    | product(product(b,a),difference(c,bigC(c,b,b))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(b,a),product(b,c)),difference(c,bigC(c,b,b))) )],[refute_0_19649,refute_0_19650]) ).

cnf(refute_0_19652,plain,
    product(product(b,a),difference(c,bigC(c,b,b))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(product(b,a),product(b,c))),product(b,c)) )],[refute_0_19647,refute_0_19651]) ).

cnf(refute_0_19653,plain,
    product(product(b,a),difference(c,bigC(c,b,b))) = product(product(b,a),difference(c,bigC(c,b,b))),
    introduced(tautology,[refl,[$fot(product(product(b,a),difference(c,bigC(c,b,b))))]]) ).

cnf(refute_0_19654,plain,
    ( difference(c,bigC(c,b,b)) != difference(c,bigC(b,b,c))
    | product(product(b,a),difference(c,bigC(c,b,b))) != product(product(b,a),difference(c,bigC(c,b,b)))
    | product(product(b,a),difference(c,bigC(c,b,b))) = product(product(b,a),difference(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(c,bigC(c,b,b))),product(product(b,a),difference(c,bigC(c,b,b)))) ),[1,1],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19655,plain,
    ( difference(c,bigC(c,b,b)) != difference(c,bigC(b,b,c))
    | product(product(b,a),difference(c,bigC(c,b,b))) = product(product(b,a),difference(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(c,bigC(c,b,b))),product(product(b,a),difference(c,bigC(c,b,b)))) )],[refute_0_19653,refute_0_19654]) ).

cnf(refute_0_19656,plain,
    product(product(b,a),difference(c,bigC(c,b,b))) = product(product(b,a),difference(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,b,b)),difference(c,bigC(b,b,c))) )],[refute_0_11931,refute_0_19655]) ).

cnf(refute_0_19657,plain,
    ( product(product(b,a),difference(c,bigC(c,b,b))) != product(b,c)
    | product(product(b,a),difference(c,bigC(c,b,b))) != product(product(b,a),difference(c,bigC(b,b,c)))
    | product(product(b,a),difference(c,bigC(b,b,c))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,a),difference(c,bigC(c,b,b))),product(b,c)) ),[0],$fot(product(product(b,a),difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19658,plain,
    ( product(product(b,a),difference(c,bigC(c,b,b))) != product(b,c)
    | product(product(b,a),difference(c,bigC(b,b,c))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(c,bigC(c,b,b))),product(product(b,a),difference(c,bigC(b,b,c)))) )],[refute_0_19656,refute_0_19657]) ).

cnf(refute_0_19659,plain,
    product(product(b,a),difference(c,bigC(b,b,c))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(c,bigC(c,b,b))),product(b,c)) )],[refute_0_19652,refute_0_19658]) ).

cnf(refute_0_19660,plain,
    product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_19661,plain,
    ( product(product(b,a),difference(c,bigC(b,b,c))) != product(b,c)
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) != product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))),product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_19662,plain,
    ( product(product(b,a),difference(c,bigC(b,b,c))) != product(b,c)
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))),product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19660,refute_0_19661]) ).

cnf(refute_0_19663,plain,
    product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))),
    inference(resolve,[$cnf( $equal(product(product(b,a),difference(c,bigC(b,b,c))),product(b,c)) )],[refute_0_19659,refute_0_19662]) ).

cnf(refute_0_19664,plain,
    ( product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) != product(product(b,c),difference(c,bigC(b,b,c)))
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) != product(product(b,c),quotient(difference(c,product(b,c)),product(b,a)))
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))))),bind(Y,$fot(product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))))),bind(Z,$fot(product(product(b,c),difference(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_19665,plain,
    ( product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))) != product(product(b,c),difference(c,bigC(b,b,c)))
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))),product(product(b,c),quotient(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19663,refute_0_19664]) ).

cnf(refute_0_19666,plain,
    product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) = product(product(b,c),difference(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(difference(c,product(b,c)),product(b,a))),product(product(b,c),difference(c,bigC(b,b,c)))) )],[refute_0_19646,refute_0_19665]) ).

cnf(refute_0_19667,plain,
    ( product(b,product(b,c)) != product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))
    | product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))) != product(product(b,c),difference(c,bigC(b,b,c)))
    | product(b,product(b,c)) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(b,c)),product(product(b,c),difference(c,bigC(b,b,c)))) ),[0],$fot(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))))]]) ).

cnf(refute_0_19668,plain,
    ( product(b,product(b,c)) != product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))
    | product(b,product(b,c)) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a))),product(product(b,c),difference(c,bigC(b,b,c)))) )],[refute_0_19666,refute_0_19667]) ).

cnf(refute_0_19669,plain,
    ( quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))) != product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))
    | product(b,product(b,c)) = product(product(b,c),difference(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(b,product(b,c)),product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19642,refute_0_19668]) ).

cnf(refute_0_19670,plain,
    product(b,product(b,c)) = product(product(b,c),difference(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(quotient(difference(c,product(b,c)),product(b,a)),product(quotient(difference(c,product(b,c)),product(b,a)),difference(c,product(b,c)))),product(product(product(b,a),difference(c,bigC(b,b,c))),quotient(difference(c,product(b,c)),product(b,a)))) )],[refute_0_19613,refute_0_19669]) ).

cnf(refute_0_19671,plain,
    ( product(b,product(b,c)) != product(product(b,c),difference(c,bigC(b,b,c)))
    | product(product(b,c),difference(c,bigC(b,b,c))) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(b,c)))),bind(Y,$fot(product(product(b,c),difference(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_19672,plain,
    product(product(b,c),difference(c,bigC(b,b,c))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(b,c)),product(product(b,c),difference(c,bigC(b,b,c)))) )],[refute_0_19670,refute_0_19671]) ).

cnf(refute_0_19673,plain,
    ( difference(product(b,c),product(product(b,c),difference(c,bigC(b,b,c)))) != difference(c,bigC(b,b,c))
    | product(product(b,c),difference(c,bigC(b,b,c))) != product(b,product(b,c))
    | difference(product(b,c),product(b,product(b,c))) = difference(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(product(b,c),difference(c,bigC(b,b,c)))),difference(c,bigC(b,b,c))) ),[0,1],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_19674,plain,
    ( difference(product(b,c),product(product(b,c),difference(c,bigC(b,b,c)))) != difference(c,bigC(b,b,c))
    | difference(product(b,c),product(b,product(b,c))) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),difference(c,bigC(b,b,c))),product(b,product(b,c))) )],[refute_0_19672,refute_0_19673]) ).

cnf(refute_0_19675,plain,
    difference(product(b,c),product(b,product(b,c))) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(b,c),difference(c,bigC(b,b,c)))),difference(c,bigC(b,b,c))) )],[refute_0_19609,refute_0_19674]) ).

cnf(refute_0_19676,plain,
    difference(product(product(quotient(c,b),b),b),b) = product(b,product(b,quotient(c,b))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(quotient(c,b))),bind(X_16,$fot(b))]]) ).

cnf(refute_0_19677,plain,
    ( difference(product(product(quotient(c,b),b),b),b) != product(b,product(b,quotient(c,b)))
    | product(b,quotient(c,b)) != difference(c,product(b,c))
    | difference(product(product(quotient(c,b),b),b),b) = product(b,difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(c,b),b),b),b),product(b,product(b,quotient(c,b)))) ),[1,1],$fot(difference(c,product(b,c)))]]) ).

cnf(refute_0_19678,plain,
    ( difference(product(product(quotient(c,b),b),b),b) != product(b,product(b,quotient(c,b)))
    | difference(product(product(quotient(c,b),b),b),b) = product(b,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(b,quotient(c,b)),difference(c,product(b,c))) )],[refute_0_13345,refute_0_19677]) ).

cnf(refute_0_19679,plain,
    difference(product(product(quotient(c,b),b),b),b) = product(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,b),b),b),b),product(b,product(b,quotient(c,b)))) )],[refute_0_19676,refute_0_19678]) ).

cnf(refute_0_19680,plain,
    product(b,product(b,quotient(c,b))) = difference(product(c,b),b),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(c)),bind(X_20,$fot(b))]]) ).

cnf(refute_0_19681,plain,
    ( difference(product(product(quotient(c,b),b),b),b) != product(b,product(b,quotient(c,b)))
    | product(b,product(b,quotient(c,b))) != difference(product(c,b),b)
    | difference(product(product(quotient(c,b),b),b),b) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(quotient(c,b),b),b),b))),bind(Y,$fot(product(b,product(b,quotient(c,b))))),bind(Z,$fot(difference(product(c,b),b)))]]) ).

cnf(refute_0_19682,plain,
    ( product(b,product(b,quotient(c,b))) != difference(product(c,b),b)
    | difference(product(product(quotient(c,b),b),b),b) = difference(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,b),b),b),b),product(b,product(b,quotient(c,b)))) )],[refute_0_19676,refute_0_19681]) ).

cnf(refute_0_19683,plain,
    difference(product(product(quotient(c,b),b),b),b) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(b,product(b,quotient(c,b))),difference(product(c,b),b)) )],[refute_0_19680,refute_0_19682]) ).

cnf(refute_0_19684,plain,
    ( difference(product(product(quotient(c,b),b),b),b) != difference(product(c,b),b)
    | difference(product(product(quotient(c,b),b),b),b) != product(b,difference(c,product(b,c)))
    | difference(product(c,b),b) = product(b,difference(c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(quotient(c,b),b),b),b),product(b,difference(c,product(b,c)))) ),[0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_19685,plain,
    ( difference(product(product(quotient(c,b),b),b),b) != product(b,difference(c,product(b,c)))
    | difference(product(c,b),b) = product(b,difference(c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,b),b),b),b),difference(product(c,b),b)) )],[refute_0_19683,refute_0_19684]) ).

cnf(refute_0_19686,plain,
    difference(product(c,b),b) = product(b,difference(c,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(quotient(c,b),b),b),b),product(b,difference(c,product(b,c)))) )],[refute_0_19679,refute_0_19685]) ).

cnf(refute_0_19687,plain,
    ( difference(product(c,b),b) != product(b,difference(c,product(b,c)))
    | product(b,difference(c,product(b,c))) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,b),b))),bind(Y,$fot(product(b,difference(c,product(b,c)))))]]) ).

cnf(refute_0_19688,plain,
    product(b,difference(c,product(b,c))) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),b),product(b,difference(c,product(b,c)))) )],[refute_0_19686,refute_0_19687]) ).

cnf(refute_0_19689,plain,
    difference(product(b,c),product(b,product(b,c))) = product(b,difference(c,product(b,c))),
    inference(subst,[],[refute_0_13624:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_19690,plain,
    ( difference(product(b,c),product(b,product(b,c))) != product(b,difference(c,product(b,c)))
    | product(b,difference(c,product(b,c))) != difference(product(c,b),b)
    | difference(product(b,c),product(b,product(b,c))) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(b,c),product(b,product(b,c))))),bind(Y,$fot(product(b,difference(c,product(b,c))))),bind(Z,$fot(difference(product(c,b),b)))]]) ).

cnf(refute_0_19691,plain,
    ( product(b,difference(c,product(b,c))) != difference(product(c,b),b)
    | difference(product(b,c),product(b,product(b,c))) = difference(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(b,c))),product(b,difference(c,product(b,c)))) )],[refute_0_19689,refute_0_19690]) ).

cnf(refute_0_19692,plain,
    difference(product(b,c),product(b,product(b,c))) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(b,difference(c,product(b,c))),difference(product(c,b),b)) )],[refute_0_19688,refute_0_19691]) ).

cnf(refute_0_19693,plain,
    ( difference(product(b,c),product(b,product(b,c))) != difference(c,bigC(b,b,c))
    | difference(product(b,c),product(b,product(b,c))) != difference(product(c,b),b)
    | difference(product(c,b),b) = difference(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),product(b,product(b,c))),difference(c,bigC(b,b,c))) ),[0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_19694,plain,
    ( difference(product(b,c),product(b,product(b,c))) != difference(c,bigC(b,b,c))
    | difference(product(c,b),b) = difference(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(b,c))),difference(product(c,b),b)) )],[refute_0_19692,refute_0_19693]) ).

cnf(refute_0_19695,plain,
    difference(product(c,b),b) = difference(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(b,product(b,c))),difference(c,bigC(b,b,c))) )],[refute_0_19675,refute_0_19694]) ).

cnf(refute_0_19696,plain,
    ( difference(product(c,b),b) != difference(c,bigC(b,b,c))
    | difference(c,bigC(b,b,c)) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,b),b))),bind(Y,$fot(difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19697,plain,
    difference(c,bigC(b,b,c)) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),b),difference(c,bigC(b,b,c))) )],[refute_0_19695,refute_0_19696]) ).

cnf(refute_0_19698,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(c,b),b)
    | product(c,difference(c,bigC(b,b,c))) != bigC(b,b,c)
    | product(c,difference(product(c,b),b)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(c,bigC(b,b,c))),bigC(b,b,c)) ),[0,1],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_19699,plain,
    ( product(c,difference(c,bigC(b,b,c))) != bigC(b,b,c)
    | product(c,difference(product(c,b),b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),difference(product(c,b),b)) )],[refute_0_19697,refute_0_19698]) ).

cnf(refute_0_19700,plain,
    product(c,difference(product(c,b),b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(c,difference(c,bigC(b,b,c))),bigC(b,b,c)) )],[refute_0_19608,refute_0_19699]) ).

cnf(refute_0_19701,plain,
    product(product(c,c),difference(product(c,b),b)) = product(product(c,c),difference(product(c,b),b)),
    introduced(tautology,[refl,[$fot(product(product(c,c),difference(product(c,b),b)))]]) ).

cnf(refute_0_19702,plain,
    ( product(c,c) != c
    | product(product(c,c),difference(product(c,b),b)) != product(product(c,c),difference(product(c,b),b))
    | product(product(c,c),difference(product(c,b),b)) = product(c,difference(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),difference(product(c,b),b)),product(product(c,c),difference(product(c,b),b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_19703,plain,
    ( product(c,c) != c
    | product(product(c,c),difference(product(c,b),b)) = product(c,difference(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),difference(product(c,b),b)),product(product(c,c),difference(product(c,b),b))) )],[refute_0_19701,refute_0_19702]) ).

cnf(refute_0_19704,plain,
    product(product(c,c),difference(product(c,b),b)) = product(c,difference(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_19703]) ).

cnf(refute_0_19705,plain,
    ( product(c,difference(product(c,b),b)) != bigC(b,b,c)
    | product(product(c,c),difference(product(c,b),b)) != product(c,difference(product(c,b),b))
    | product(product(c,c),difference(product(c,b),b)) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),difference(product(c,b),b)))),bind(Y,$fot(product(c,difference(product(c,b),b)))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_19706,plain,
    ( product(c,difference(product(c,b),b)) != bigC(b,b,c)
    | product(product(c,c),difference(product(c,b),b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),difference(product(c,b),b)),product(c,difference(product(c,b),b))) )],[refute_0_19704,refute_0_19705]) ).

cnf(refute_0_19707,plain,
    product(product(c,c),difference(product(c,b),b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),b)),bigC(b,b,c)) )],[refute_0_19700,refute_0_19706]) ).

cnf(refute_0_19708,plain,
    bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),product(difference(quotient(c,a),quotient(b,c)),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(difference(quotient(c,a),quotient(b,c))))]]) ).

cnf(refute_0_19709,plain,
    ( bigC(c,B,difference(quotient(c,a),quotient(b,c))) != product(product(c,B),product(difference(quotient(c,a),quotient(b,c)),c))
    | product(difference(quotient(c,a),quotient(b,c)),c) != difference(c,bigC(b,b,c))
    | bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),difference(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(quotient(c,a),quotient(b,c))),product(product(c,B),product(difference(quotient(c,a),quotient(b,c)),c))) ),[1,1],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19710,plain,
    ( bigC(c,B,difference(quotient(c,a),quotient(b,c))) != product(product(c,B),product(difference(quotient(c,a),quotient(b,c)),c))
    | bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),difference(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,a),quotient(b,c)),c),difference(c,bigC(b,b,c))) )],[refute_0_19592,refute_0_19709]) ).

cnf(refute_0_19711,plain,
    bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),difference(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(quotient(c,a),quotient(b,c))),product(product(c,B),product(difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_19708,refute_0_19710]) ).

cnf(refute_0_19712,plain,
    product(product(c,B),difference(c,bigC(b,b,c))) = product(product(c,B),difference(c,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(product(c,B),difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19713,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(c,b),b)
    | product(product(c,B),difference(c,bigC(b,b,c))) != product(product(c,B),difference(c,bigC(b,b,c)))
    | product(product(c,B),difference(c,bigC(b,b,c))) = product(product(c,B),difference(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),difference(c,bigC(b,b,c))),product(product(c,B),difference(c,bigC(b,b,c)))) ),[1,1],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_19714,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(c,b),b)
    | product(product(c,B),difference(c,bigC(b,b,c))) = product(product(c,B),difference(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),difference(c,bigC(b,b,c))),product(product(c,B),difference(c,bigC(b,b,c)))) )],[refute_0_19712,refute_0_19713]) ).

cnf(refute_0_19715,plain,
    product(product(c,B),difference(c,bigC(b,b,c))) = product(product(c,B),difference(product(c,b),b)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),difference(product(c,b),b)) )],[refute_0_19697,refute_0_19714]) ).

cnf(refute_0_19716,plain,
    ( bigC(c,B,difference(quotient(c,a),quotient(b,c))) != product(product(c,B),difference(c,bigC(b,b,c)))
    | product(product(c,B),difference(c,bigC(b,b,c))) != product(product(c,B),difference(product(c,b),b))
    | bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),difference(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,difference(quotient(c,a),quotient(b,c))),product(product(c,B),difference(product(c,b),b))) ),[0],$fot(product(product(c,B),difference(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19717,plain,
    ( bigC(c,B,difference(quotient(c,a),quotient(b,c))) != product(product(c,B),difference(c,bigC(b,b,c)))
    | bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),difference(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),difference(c,bigC(b,b,c))),product(product(c,B),difference(product(c,b),b))) )],[refute_0_19715,refute_0_19716]) ).

cnf(refute_0_19718,plain,
    bigC(c,B,difference(quotient(c,a),quotient(b,c))) = product(product(c,B),difference(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(quotient(c,a),quotient(b,c))),product(product(c,B),difference(c,bigC(b,b,c)))) )],[refute_0_19711,refute_0_19717]) ).

cnf(refute_0_19719,plain,
    bigC(c,c,difference(quotient(c,a),quotient(b,c))) = product(product(c,c),difference(product(c,b),b)),
    inference(subst,[],[refute_0_19718:[bind(B,$fot(c))]]) ).

cnf(refute_0_19720,plain,
    bigC(c,difference(quotient(c,a),quotient(b,c)),c) = bigC(c,c,difference(quotient(c,a),quotient(b,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(difference(quotient(c,a),quotient(b,c))))]]) ).

cnf(refute_0_19721,plain,
    ( bigC(c,c,difference(quotient(c,a),quotient(b,c))) != product(product(c,c),difference(product(c,b),b))
    | bigC(c,difference(quotient(c,a),quotient(b,c)),c) != bigC(c,c,difference(quotient(c,a),quotient(b,c)))
    | bigC(c,difference(quotient(c,a),quotient(b,c)),c) = product(product(c,c),difference(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,difference(quotient(c,a),quotient(b,c)),c))),bind(Y,$fot(bigC(c,c,difference(quotient(c,a),quotient(b,c))))),bind(Z,$fot(product(product(c,c),difference(product(c,b),b))))]]) ).

cnf(refute_0_19722,plain,
    ( bigC(c,c,difference(quotient(c,a),quotient(b,c))) != product(product(c,c),difference(product(c,b),b))
    | bigC(c,difference(quotient(c,a),quotient(b,c)),c) = product(product(c,c),difference(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(quotient(c,a),quotient(b,c)),c),bigC(c,c,difference(quotient(c,a),quotient(b,c)))) )],[refute_0_19720,refute_0_19721]) ).

cnf(refute_0_19723,plain,
    bigC(c,difference(quotient(c,a),quotient(b,c)),c) = product(product(c,c),difference(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,difference(quotient(c,a),quotient(b,c))),product(product(c,c),difference(product(c,b),b))) )],[refute_0_19719,refute_0_19722]) ).

cnf(refute_0_19724,plain,
    product(product(c,difference(quotient(c,a),quotient(b,c))),c) = bigC(c,difference(quotient(c,a),quotient(b,c)),c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(difference(quotient(c,a),quotient(b,c))))]]) ).

cnf(refute_0_19725,plain,
    ( bigC(c,difference(quotient(c,a),quotient(b,c)),c) != product(product(c,c),difference(product(c,b),b))
    | product(product(c,difference(quotient(c,a),quotient(b,c))),c) != bigC(c,difference(quotient(c,a),quotient(b,c)),c)
    | product(product(c,difference(quotient(c,a),quotient(b,c))),c) = product(product(c,c),difference(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,difference(quotient(c,a),quotient(b,c))),c))),bind(Y,$fot(bigC(c,difference(quotient(c,a),quotient(b,c)),c))),bind(Z,$fot(product(product(c,c),difference(product(c,b),b))))]]) ).

cnf(refute_0_19726,plain,
    ( bigC(c,difference(quotient(c,a),quotient(b,c)),c) != product(product(c,c),difference(product(c,b),b))
    | product(product(c,difference(quotient(c,a),quotient(b,c))),c) = product(product(c,c),difference(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,difference(quotient(c,a),quotient(b,c))),c),bigC(c,difference(quotient(c,a),quotient(b,c)),c)) )],[refute_0_19724,refute_0_19725]) ).

cnf(refute_0_19727,plain,
    product(product(c,difference(quotient(c,a),quotient(b,c))),c) = product(product(c,c),difference(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(quotient(c,a),quotient(b,c)),c),product(product(c,c),difference(product(c,b),b))) )],[refute_0_19723,refute_0_19726]) ).

cnf(refute_0_19728,plain,
    ( product(product(c,c),difference(product(c,b),b)) != bigC(b,b,c)
    | product(product(c,difference(quotient(c,a),quotient(b,c))),c) != product(product(c,c),difference(product(c,b),b))
    | product(product(c,difference(quotient(c,a),quotient(b,c))),c) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,difference(quotient(c,a),quotient(b,c))),c))),bind(Y,$fot(product(product(c,c),difference(product(c,b),b)))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_19729,plain,
    ( product(product(c,c),difference(product(c,b),b)) != bigC(b,b,c)
    | product(product(c,difference(quotient(c,a),quotient(b,c))),c) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,difference(quotient(c,a),quotient(b,c))),c),product(product(c,c),difference(product(c,b),b))) )],[refute_0_19727,refute_0_19728]) ).

cnf(refute_0_19730,plain,
    product(product(c,difference(quotient(c,a),quotient(b,c))),c) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(product(c,c),difference(product(c,b),b)),bigC(b,b,c)) )],[refute_0_19707,refute_0_19729]) ).

cnf(refute_0_19731,plain,
    product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) = product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c))]]) ).

cnf(refute_0_19732,plain,
    ( product(product(c,difference(quotient(c,a),quotient(b,c))),c) != bigC(b,b,c)
    | product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) != product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)
    | product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c),product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_19733,plain,
    ( product(product(c,difference(quotient(c,a),quotient(b,c))),c) != bigC(b,b,c)
    | product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c),product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)) )],[refute_0_19731,refute_0_19732]) ).

cnf(refute_0_19734,plain,
    product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(product(product(c,difference(quotient(c,a),quotient(b,c))),c),bigC(b,b,c)) )],[refute_0_19730,refute_0_19733]) ).

cnf(refute_0_19735,plain,
    ( product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c) != product(bigC(b,b,c),c)
    | quotient(c,product(c,difference(product(b,product(c,a)),c))) != product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)
    | quotient(c,product(c,difference(product(b,product(c,a)),c))) = product(bigC(b,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,difference(product(b,product(c,a)),c))),product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)) ),[1],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_19736,plain,
    ( quotient(c,product(c,difference(product(b,product(c,a)),c))) != product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)
    | quotient(c,product(c,difference(product(b,product(c,a)),c))) = product(bigC(b,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c),product(bigC(b,b,c),c)) )],[refute_0_19734,refute_0_19735]) ).

cnf(refute_0_19737,plain,
    quotient(c,product(c,difference(product(b,product(c,a)),c))) = product(bigC(b,b,c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,difference(product(b,product(c,a)),c))),product(product(product(c,difference(quotient(c,a),quotient(b,c))),c),c)) )],[refute_0_19607,refute_0_19736]) ).

cnf(refute_0_19738,plain,
    ( difference(quotient(c,product(c,difference(product(b,product(c,a)),c))),c) != product(c,difference(product(b,product(c,a)),c))
    | quotient(c,product(c,difference(product(b,product(c,a)),c))) != product(bigC(b,b,c),c)
    | difference(product(bigC(b,b,c),c),c) = product(c,difference(product(b,product(c,a)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(c,product(c,difference(product(b,product(c,a)),c))),c),product(c,difference(product(b,product(c,a)),c))) ),[0,0],$fot(product(bigC(b,b,c),c))]]) ).

cnf(refute_0_19739,plain,
    ( difference(quotient(c,product(c,difference(product(b,product(c,a)),c))),c) != product(c,difference(product(b,product(c,a)),c))
    | difference(product(bigC(b,b,c),c),c) = product(c,difference(product(b,product(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,difference(product(b,product(c,a)),c))),product(bigC(b,b,c),c)) )],[refute_0_19737,refute_0_19738]) ).

cnf(refute_0_19740,plain,
    difference(product(bigC(b,b,c),c),c) = product(c,difference(product(b,product(c,a)),c)),
    inference(resolve,[$cnf( $equal(difference(quotient(c,product(c,difference(product(b,product(c,a)),c))),c),product(c,difference(product(b,product(c,a)),c))) )],[refute_0_19490,refute_0_19739]) ).

cnf(refute_0_19741,plain,
    ( difference(product(bigC(b,b,c),c),c) != product(c,difference(product(b,product(c,a)),c))
    | product(c,difference(product(b,product(c,a)),c)) = difference(product(bigC(b,b,c),c),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(bigC(b,b,c),c),c))),bind(Y,$fot(product(c,difference(product(b,product(c,a)),c))))]]) ).

cnf(refute_0_19742,plain,
    product(c,difference(product(b,product(c,a)),c)) = difference(product(bigC(b,b,c),c),c),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),c),product(c,difference(product(b,product(c,a)),c))) )],[refute_0_19740,refute_0_19741]) ).

cnf(refute_0_19743,plain,
    ( bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) != product(difference(product(b,product(c,a)),c),product(c,difference(product(b,product(c,a)),c)))
    | product(c,difference(product(b,product(c,a)),c)) != difference(product(bigC(b,b,c),c),c)
    | bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c),product(difference(product(b,product(c,a)),c),product(c,difference(product(b,product(c,a)),c)))) ),[1,1],$fot(difference(product(bigC(b,b,c),c),c))]]) ).

cnf(refute_0_19744,plain,
    ( bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) != product(difference(product(b,product(c,a)),c),product(c,difference(product(b,product(c,a)),c)))
    | bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,product(c,a)),c)),difference(product(bigC(b,b,c),c),c)) )],[refute_0_19742,refute_0_19743]) ).

cnf(refute_0_19745,plain,
    bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c),product(difference(product(b,product(c,a)),c),product(c,difference(product(b,product(c,a)),c)))) )],[refute_0_19489,refute_0_19744]) ).

cnf(refute_0_19746,plain,
    bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) = product(product(difference(product(b,product(c,a)),c),c),difference(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(difference(product(b,product(c,a)),c))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_19747,plain,
    bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),c),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(c)),bind(X_22,$fot(product(c,difference(quotient(c,a),quotient(b,c)))))]]) ).

cnf(refute_0_19748,plain,
    ( bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != product(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),c)
    | product(c,product(c,difference(quotient(c,a),quotient(b,c)))) != difference(product(b,product(c,a)),c)
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(difference(product(b,product(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),product(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),c)) ),[1,0],$fot(difference(product(b,product(c,a)),c))]]) ).

cnf(refute_0_19749,plain,
    ( bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != product(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),c)
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(difference(product(b,product(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),difference(product(b,product(c,a)),c)) )],[refute_0_19604,refute_0_19748]) ).

cnf(refute_0_19750,plain,
    bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(difference(product(b,product(c,a)),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),product(product(c,product(c,difference(quotient(c,a),quotient(b,c)))),c)) )],[refute_0_19747,refute_0_19749]) ).

cnf(refute_0_19751,plain,
    ( bigC(c,difference(quotient(c,a),quotient(b,c)),c) != product(product(c,c),difference(product(c,b),b))
    | product(product(c,c),difference(product(c,b),b)) != bigC(b,b,c)
    | bigC(c,difference(quotient(c,a),quotient(b,c)),c) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,difference(quotient(c,a),quotient(b,c)),c))),bind(Y,$fot(product(product(c,c),difference(product(c,b),b)))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_19752,plain,
    ( product(product(c,c),difference(product(c,b),b)) != bigC(b,b,c)
    | bigC(c,difference(quotient(c,a),quotient(b,c)),c) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,difference(quotient(c,a),quotient(b,c)),c),product(product(c,c),difference(product(c,b),b))) )],[refute_0_19723,refute_0_19751]) ).

cnf(refute_0_19753,plain,
    bigC(c,difference(quotient(c,a),quotient(b,c)),c) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(product(product(c,c),difference(product(c,b),b)),bigC(b,b,c)) )],[refute_0_19707,refute_0_19752]) ).

cnf(refute_0_19754,plain,
    product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) = product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)))]]) ).

cnf(refute_0_19755,plain,
    ( bigC(c,difference(quotient(c,a),quotient(b,c)),c) != bigC(b,b,c)
    | product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) != product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))
    | product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)),product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_19756,plain,
    ( bigC(c,difference(quotient(c,a),quotient(b,c)),c) != bigC(b,b,c)
    | product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)),product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_19754,refute_0_19755]) ).

cnf(refute_0_19757,plain,
    product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,difference(quotient(c,a),quotient(b,c)),c),bigC(b,b,c)) )],[refute_0_19753,refute_0_19756]) ).

cnf(refute_0_19758,plain,
    bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c)))) = product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(difference(quotient(c,a),quotient(b,c)))),bind(X_83,$fot(c))]]) ).

cnf(refute_0_19759,plain,
    bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c)))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,difference(quotient(c,a),quotient(b,c)))))]]) ).

cnf(refute_0_19760,plain,
    ( bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c)))) != product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c))))
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c))),bind(Y,$fot(bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c)))))),bind(Z,$fot(product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))))]]) ).

cnf(refute_0_19761,plain,
    ( bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c)))) != product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c))))) )],[refute_0_19759,refute_0_19760]) ).

cnf(refute_0_19762,plain,
    bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,difference(quotient(c,a),quotient(b,c)))),product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_19758,refute_0_19761]) ).

cnf(refute_0_19763,plain,
    ( bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))
    | product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) != product(c,bigC(b,b,c))
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c))),bind(Y,$fot(product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_19764,plain,
    ( product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)) != product(c,bigC(b,b,c))
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_19762,refute_0_19763]) ).

cnf(refute_0_19765,plain,
    bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,difference(quotient(c,a),quotient(b,c)),c)),product(c,bigC(b,b,c))) )],[refute_0_19757,refute_0_19764]) ).

cnf(refute_0_19766,plain,
    ( bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != product(c,bigC(b,b,c))
    | bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != product(difference(product(b,product(c,a)),c),c)
    | product(c,bigC(b,b,c)) = product(difference(product(b,product(c,a)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),product(difference(product(b,product(c,a)),c),c)) ),[0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19767,plain,
    ( bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c) != product(difference(product(b,product(c,a)),c),c)
    | product(c,bigC(b,b,c)) = product(difference(product(b,product(c,a)),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),product(c,bigC(b,b,c))) )],[refute_0_19765,refute_0_19766]) ).

cnf(refute_0_19768,plain,
    product(c,bigC(b,b,c)) = product(difference(product(b,product(c,a)),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,difference(quotient(c,a),quotient(b,c))),c),product(difference(product(b,product(c,a)),c),c)) )],[refute_0_19750,refute_0_19767]) ).

cnf(refute_0_19769,plain,
    ( product(c,bigC(b,b,c)) != product(difference(product(b,product(c,a)),c),c)
    | product(difference(product(b,product(c,a)),c),c) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(b,b,c)))),bind(Y,$fot(product(difference(product(b,product(c,a)),c),c)))]]) ).

cnf(refute_0_19770,plain,
    product(difference(product(b,product(c,a)),c),c) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,c)),product(difference(product(b,product(c,a)),c),c)) )],[refute_0_19768,refute_0_19769]) ).

cnf(refute_0_19771,plain,
    ( bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) != product(product(difference(product(b,product(c,a)),c),c),difference(product(b,product(c,a)),c))
    | product(difference(product(b,product(c,a)),c),c) != product(c,bigC(b,b,c))
    | bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)),product(product(difference(product(b,product(c,a)),c),c),difference(product(b,product(c,a)),c))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19772,plain,
    ( bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) != product(product(difference(product(b,product(c,a)),c),c),difference(product(b,product(c,a)),c))
    | bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(c,a)),c),c),product(c,bigC(b,b,c))) )],[refute_0_19770,refute_0_19771]) ).

cnf(refute_0_19773,plain,
    bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)),product(product(difference(product(b,product(c,a)),c),c),difference(product(b,product(c,a)),c))) )],[refute_0_19746,refute_0_19772]) ).

cnf(refute_0_19774,plain,
    bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(difference(product(b,product(c,a)),c))),bind(B,$fot(c)),bind(C,$fot(difference(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_19775,plain,
    ( bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) != product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))
    | bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) != bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c))
    | bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c))),bind(Y,$fot(bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)))),bind(Z,$fot(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))))]]) ).

cnf(refute_0_19776,plain,
    ( bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)) != product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))
    | bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c),bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c))) )],[refute_0_19774,refute_0_19775]) ).

cnf(refute_0_19777,plain,
    bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),c,difference(product(b,product(c,a)),c)),product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))) )],[refute_0_19773,refute_0_19776]) ).

cnf(refute_0_19778,plain,
    ( bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) != product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) ),[0],$fot(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_19779,plain,
    ( bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c),product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))) )],[refute_0_19777,refute_0_19778]) ).

cnf(refute_0_19780,plain,
    product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(c,a)),c),difference(product(b,product(c,a)),c),c),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) )],[refute_0_19745,refute_0_19779]) ).

cnf(refute_0_19781,plain,
    bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(product(product(a,b),bigC(b,b,c)),product(a,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(a,b))),bind(X_22,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_19782,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(product(c,product(c,b)))),bind(X_17,$fot(product(a,b)))]]) ).

cnf(refute_0_19783,plain,
    quotient(product(product(c,a),b),product(a,b)) = quotient(product(product(c,a),b),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,a),b),product(a,b)))]]) ).

cnf(refute_0_19784,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),product(a,b)) != quotient(product(product(c,a),b),product(a,b))
    | quotient(product(product(c,a),b),product(a,b)) = quotient(product(c,product(c,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),quotient(product(product(c,a),b),product(a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_19785,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(product(c,a),b),product(a,b)) = quotient(product(c,product(c,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),quotient(product(product(c,a),b),product(a,b))) )],[refute_0_19783,refute_0_19784]) ).

cnf(refute_0_19786,plain,
    quotient(product(product(c,a),b),product(a,b)) = quotient(product(c,product(c,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_19785]) ).

cnf(refute_0_19787,plain,
    ( quotient(product(product(c,a),b),product(a,b)) != product(c,b)
    | quotient(product(product(c,a),b),product(a,b)) != quotient(product(c,product(c,b)),product(a,b))
    | quotient(product(c,product(c,b)),product(a,b)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),product(c,b)) ),[0],$fot(quotient(product(c,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_19788,plain,
    ( quotient(product(product(c,a),b),product(a,b)) != product(c,b)
    | quotient(product(c,product(c,b)),product(a,b)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),quotient(product(c,product(c,b)),product(a,b))) )],[refute_0_19786,refute_0_19787]) ).

cnf(refute_0_19789,plain,
    quotient(product(c,product(c,b)),product(a,b)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(a,b)),product(c,b)) )],[refute_0_7737,refute_0_19788]) ).

cnf(refute_0_19790,plain,
    ( quotient(product(c,product(c,b)),product(a,b)) != product(c,b)
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) ),[1,0,1],$fot(product(c,b))]]) ).

cnf(refute_0_19791,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(a,b)),product(c,b)) )],[refute_0_19789,refute_0_19790]) ).

cnf(refute_0_19792,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19782,refute_0_19791]) ).

cnf(refute_0_19793,plain,
    ( quotient(product(c,product(c,b)),product(a,b)) != product(c,b)
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) ),[0,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_19794,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(a,b)),product(c,b)) )],[refute_0_19789,refute_0_19793]) ).

cnf(refute_0_19795,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19782,refute_0_19794]) ).

cnf(refute_0_19796,plain,
    quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(product(c,b),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(quotient(product(c,b),product(product(c,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_19797,plain,
    ( product(product(c,b),product(c,product(c,b))) != product(c,bigC(b,b,c))
    | quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) != quotient(product(c,b),product(product(c,b),product(c,product(c,b))))
    | quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(c,product(c,b)))),quotient(product(c,b),product(product(c,b),product(c,product(c,b))))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19798,plain,
    ( product(product(c,b),product(c,product(c,b))) != product(c,bigC(b,b,c))
    | quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(c,product(c,b)))),quotient(product(c,b),product(product(c,b),product(c,product(c,b))))) )],[refute_0_19796,refute_0_19797]) ).

cnf(refute_0_19799,plain,
    quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10369,refute_0_19798]) ).

cnf(refute_0_19800,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_19801,plain,
    ( quotient(product(c,product(c,b)),product(a,b)) != product(c,b)
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b))))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b))))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_19802,plain,
    ( quotient(product(c,product(c,b)),product(a,b)) != product(c,b)
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b))))) )],[refute_0_19800,refute_0_19801]) ).

cnf(refute_0_19803,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(product(c,b),product(c,product(c,b)))),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(a,b)),product(c,b)) )],[refute_0_19789,refute_0_19802]) ).

cnf(refute_0_19804,plain,
    ( quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != quotient(product(c,b),product(product(c,b),product(c,product(c,b))))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))))),bind(Y,$fot(quotient(product(c,b),product(product(c,b),product(c,product(c,b)))))),bind(Z,$fot(quotient(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_19805,plain,
    ( quotient(product(c,b),product(product(c,b),product(c,product(c,b)))) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),quotient(product(c,b),product(product(c,b),product(c,product(c,b))))) )],[refute_0_19803,refute_0_19804]) ).

cnf(refute_0_19806,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = quotient(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(c,b),product(c,product(c,b)))),quotient(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_19799,refute_0_19805]) ).

cnf(refute_0_19807,plain,
    ( quotient(product(c,b),product(c,bigC(b,b,c))) != product(product(a,b),bigC(b,b,c))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != quotient(product(c,b),product(c,bigC(b,b,c)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = product(product(a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))))),bind(Y,$fot(quotient(product(c,b),product(c,bigC(b,b,c))))),bind(Z,$fot(product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_19808,plain,
    ( quotient(product(c,b),product(c,bigC(b,b,c))) != product(product(a,b),bigC(b,b,c))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),quotient(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_19806,refute_0_19807]) ).

cnf(refute_0_19809,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(c,bigC(b,b,c))),product(product(a,b),bigC(b,b,c))) )],[refute_0_17613,refute_0_19808]) ).

cnf(refute_0_19810,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != product(product(a,b),bigC(b,b,c))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) ),[0],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_19811,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),product(product(a,b),bigC(b,b,c))) )],[refute_0_19809,refute_0_19810]) ).

cnf(refute_0_19812,plain,
    product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))) = product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))),
    inference(subst,[],[refute_0_2076:[bind(X_107,$fot(product(c,product(c,b)))),bind(X_15,$fot(product(a,b)))]]) ).

cnf(refute_0_19813,plain,
    ( product(product(a,b),bigC(b,b,c)) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))) != product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))
    | product(product(a,b),bigC(b,b,c)) = product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),bigC(b,b,c)),product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))) ),[0],$fot(product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_19814,plain,
    ( product(product(a,b),bigC(b,b,c)) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b))),product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))) )],[refute_0_19812,refute_0_19813]) ).

cnf(refute_0_19815,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))) != product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,b,c)),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19811,refute_0_19814]) ).

cnf(refute_0_19816,plain,
    product(product(a,b),bigC(b,b,c)) = product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(product(c,b),product(c,product(c,b)))),product(product(product(a,b),quotient(product(c,product(c,b)),product(a,b))),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19795,refute_0_19815]) ).

cnf(refute_0_19817,plain,
    ( product(product(a,b),bigC(b,b,c)) != product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))
    | product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) = product(product(a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,b),bigC(b,b,c)))),bind(Y,$fot(product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))))]]) ).

cnf(refute_0_19818,plain,
    product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,b,c)),product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))) )],[refute_0_19816,refute_0_19817]) ).

cnf(refute_0_19819,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(product(c,product(c,b)))),bind(X_21,$fot(product(a,b)))]]) ).

cnf(refute_0_19820,plain,
    ( product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) != product(product(a,b),bigC(b,b,c))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(a,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))))),bind(Y,$fot(product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))))),bind(Z,$fot(product(product(a,b),bigC(b,b,c))))]]) ).

cnf(refute_0_19821,plain,
    ( product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))) != product(product(a,b),bigC(b,b,c))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b)))) )],[refute_0_19819,refute_0_19820]) ).

cnf(refute_0_19822,plain,
    quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) = product(product(a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(a,b),difference(product(c,product(c,b)),product(a,b))),product(c,product(c,b))),product(product(a,b),bigC(b,b,c))) )],[refute_0_19818,refute_0_19821]) ).

cnf(refute_0_19823,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(a,b),bigC(b,b,c))
    | quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))) ),[0],$fot(product(product(a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_19824,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(a,b),bigC(b,b,c))) )],[refute_0_19822,refute_0_19823]) ).

cnf(refute_0_19825,plain,
    product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_19826,plain,
    ( product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) != product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b)))
    | quotient(product(c,product(c,b)),product(a,b)) != product(c,b)
    | product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_19827,plain,
    ( quotient(product(c,product(c,b)),product(a,b)) != product(c,b)
    | product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19825,refute_0_19826]) ).

cnf(refute_0_19828,plain,
    product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,product(c,b)),product(a,b)),product(c,b)) )],[refute_0_19789,refute_0_19827]) ).

cnf(refute_0_19829,plain,
    product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_19830,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) != product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_19831,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19829,refute_0_19830]) ).

cnf(refute_0_19832,plain,
    product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_19831]) ).

cnf(refute_0_19833,plain,
    ( product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) != product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) != product(product(product(a,c),b),product(c,b))
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))))),bind(Y,$fot(product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))))),bind(Z,$fot(product(product(product(a,c),b),product(c,b))))]]) ).

cnf(refute_0_19834,plain,
    ( product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))) != product(product(product(a,c),b),product(c,b))
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19832,refute_0_19833]) ).

cnf(refute_0_19835,plain,
    product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(product(a,c),b),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,c),b),product(c,b))) )],[refute_0_19828,refute_0_19834]) ).

cnf(refute_0_19836,plain,
    ( product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) != product(product(product(a,c),b),product(c,b))
    | product(product(product(a,c),b),product(c,b)) != product(product(a,product(b,c)),b)
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))))),bind(Y,$fot(product(product(product(a,c),b),product(c,b)))),bind(Z,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_19837,plain,
    ( product(product(product(a,c),b),product(c,b)) != product(product(a,product(b,c)),b)
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),product(product(product(a,c),b),product(c,b))) )],[refute_0_19835,refute_0_19836]) ).

cnf(refute_0_19838,plain,
    product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(c,b)),product(product(a,product(b,c)),b)) )],[refute_0_17495,refute_0_19837]) ).

cnf(refute_0_19839,plain,
    ( product(product(a,b),bigC(b,b,c)) != product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))) != product(product(a,product(b,c)),b)
    | product(product(a,b),bigC(b,b,c)) = product(product(a,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,b),bigC(b,b,c)),product(product(a,product(b,c)),b)) ),[0],$fot(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))))]]) ).

cnf(refute_0_19840,plain,
    ( product(product(a,b),bigC(b,b,c)) != product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b))),product(product(a,product(b,c)),b)) )],[refute_0_19838,refute_0_19839]) ).

cnf(refute_0_19841,plain,
    ( quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))) != product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))
    | product(product(a,b),bigC(b,b,c)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,b,c)),product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19824,refute_0_19840]) ).

cnf(refute_0_19842,plain,
    product(product(a,b),bigC(b,b,c)) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,product(c,b)),product(a,b)),product(quotient(product(c,product(c,b)),product(a,b)),product(c,product(c,b)))),product(product(product(a,b),product(c,b)),quotient(product(c,product(c,b)),product(a,b)))) )],[refute_0_19792,refute_0_19841]) ).

cnf(refute_0_19843,plain,
    ( bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(product(product(a,b),bigC(b,b,c)),product(a,b))
    | product(product(a,b),bigC(b,b,c)) != product(product(a,product(b,c)),b)
    | bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(product(product(a,product(b,c)),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,b,c),product(a,b)),product(product(product(a,b),bigC(b,b,c)),product(a,b))) ),[1,0],$fot(product(product(a,product(b,c)),b))]]) ).

cnf(refute_0_19844,plain,
    ( bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(product(product(a,b),bigC(b,b,c)),product(a,b))
    | bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(product(product(a,product(b,c)),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(b,b,c)),product(product(a,product(b,c)),b)) )],[refute_0_19842,refute_0_19843]) ).

cnf(refute_0_19845,plain,
    bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(product(product(a,product(b,c)),b),product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,b,c),product(a,b)),product(product(product(a,b),bigC(b,b,c)),product(a,b))) )],[refute_0_19781,refute_0_19844]) ).

cnf(refute_0_19846,plain,
    product(bigC(a,b,a),product(bigC(b,b,c),b)) = product(bigC(a,b,a),product(bigC(b,b,c),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_19847,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(bigC(b,b,c),b)) != product(bigC(a,b,a),product(bigC(b,b,c),b))
    | product(bigC(a,b,a),product(bigC(b,b,c),b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(bigC(b,b,c),b)),product(bigC(a,b,a),product(bigC(b,b,c),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_19848,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(bigC(b,b,c),b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(bigC(b,b,c),b)),product(bigC(a,b,a),product(bigC(b,b,c),b))) )],[refute_0_19846,refute_0_19847]) ).

cnf(refute_0_19849,plain,
    product(bigC(a,b,a),product(bigC(b,b,c),b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_19848]) ).

cnf(refute_0_19850,plain,
    bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(bigC(a,b,a),product(bigC(b,b,c),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(a)),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_19851,plain,
    ( bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(bigC(a,b,a),product(bigC(b,b,c),b))
    | product(bigC(a,b,a),product(bigC(b,b,c),b)) != product(bigC(a,a,b),product(bigC(b,b,c),b))
    | bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),bigC(b,b,c),product(a,b)))),bind(Y,$fot(product(bigC(a,b,a),product(bigC(b,b,c),b)))),bind(Z,$fot(product(bigC(a,a,b),product(bigC(b,b,c),b))))]]) ).

cnf(refute_0_19852,plain,
    ( product(bigC(a,b,a),product(bigC(b,b,c),b)) != product(bigC(a,a,b),product(bigC(b,b,c),b))
    | bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,b,c),product(a,b)),product(bigC(a,b,a),product(bigC(b,b,c),b))) )],[refute_0_19850,refute_0_19851]) ).

cnf(refute_0_19853,plain,
    bigC(product(a,b),bigC(b,b,c),product(a,b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(bigC(b,b,c),b)),product(bigC(a,a,b),product(bigC(b,b,c),b))) )],[refute_0_19849,refute_0_19852]) ).

cnf(refute_0_19854,plain,
    ( bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(bigC(a,a,b),product(bigC(b,b,c),b))
    | bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(product(product(a,product(b,c)),b),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,b,c),b)) = product(product(product(a,product(b,c)),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),bigC(b,b,c),product(a,b)),product(product(product(a,product(b,c)),b),product(a,b))) ),[0],$fot(product(bigC(a,a,b),product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_19855,plain,
    ( bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(product(product(a,product(b,c)),b),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,b,c),b)) = product(product(product(a,product(b,c)),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,b,c),product(a,b)),product(bigC(a,a,b),product(bigC(b,b,c),b))) )],[refute_0_19853,refute_0_19854]) ).

cnf(refute_0_19856,plain,
    product(bigC(a,a,product(b,c)),product(b,b)) = product(bigC(a,a,product(b,c)),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,a,product(b,c)),product(b,b)))]]) ).

cnf(refute_0_19857,plain,
    ( product(b,b) != b
    | product(bigC(a,a,product(b,c)),product(b,b)) != product(bigC(a,a,product(b,c)),product(b,b))
    | product(bigC(a,a,product(b,c)),product(b,b)) = product(bigC(a,a,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,b)),product(bigC(a,a,product(b,c)),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_19858,plain,
    ( product(b,b) != b
    | product(bigC(a,a,product(b,c)),product(b,b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,b)),product(bigC(a,a,product(b,c)),product(b,b))) )],[refute_0_19856,refute_0_19857]) ).

cnf(refute_0_19859,plain,
    product(bigC(a,a,product(b,c)),product(b,b)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_19858]) ).

cnf(refute_0_19860,plain,
    bigC(a,product(b,c),a) = bigC(a,a,product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_19861,plain,
    product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,product(b,c),a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,product(b,c),a),product(b,b)))]]) ).

cnf(refute_0_19862,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(bigC(a,product(b,c),a),product(b,b)) != product(bigC(a,product(b,c),a),product(b,b))
    | product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,a,product(b,c)),product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,product(b,c),a),product(b,b)),product(bigC(a,product(b,c),a),product(b,b))) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_19863,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,a,product(b,c)),product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(b,c),a),product(b,b)),product(bigC(a,product(b,c),a),product(b,b))) )],[refute_0_19861,refute_0_19862]) ).

cnf(refute_0_19864,plain,
    product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,a,product(b,c)),product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),a),bigC(a,a,product(b,c))) )],[refute_0_19860,refute_0_19863]) ).

cnf(refute_0_19865,plain,
    ( product(bigC(a,a,product(b,c)),product(b,b)) != product(bigC(a,a,product(b,c)),b)
    | product(bigC(a,product(b,c),a),product(b,b)) != product(bigC(a,a,product(b,c)),product(b,b))
    | product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,product(b,c),a),product(b,b)))),bind(Y,$fot(product(bigC(a,a,product(b,c)),product(b,b)))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_19866,plain,
    ( product(bigC(a,a,product(b,c)),product(b,b)) != product(bigC(a,a,product(b,c)),b)
    | product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(b,c),a),product(b,b)),product(bigC(a,a,product(b,c)),product(b,b))) )],[refute_0_19864,refute_0_19865]) ).

cnf(refute_0_19867,plain,
    product(bigC(a,product(b,c),a),product(b,b)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),product(b,b)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19859,refute_0_19866]) ).

cnf(refute_0_19868,plain,
    product(product(product(a,product(b,c)),b),product(a,b)) = product(bigC(a,product(b,c),a),product(b,b)),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(b)),bind(X_82,$fot(product(b,c)))]]) ).

cnf(refute_0_19869,plain,
    ( product(bigC(a,product(b,c),a),product(b,b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(product(a,product(b,c)),b),product(a,b)) != product(bigC(a,product(b,c),a),product(b,b))
    | product(product(product(a,product(b,c)),b),product(a,b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),b),product(a,b)))),bind(Y,$fot(product(bigC(a,product(b,c),a),product(b,b)))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_19870,plain,
    ( product(bigC(a,product(b,c),a),product(b,b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(product(a,product(b,c)),b),product(a,b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),b),product(a,b)),product(bigC(a,product(b,c),a),product(b,b))) )],[refute_0_19868,refute_0_19869]) ).

cnf(refute_0_19871,plain,
    product(product(product(a,product(b,c)),b),product(a,b)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,product(b,c),a),product(b,b)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19867,refute_0_19870]) ).

cnf(refute_0_19872,plain,
    ( product(bigC(a,a,b),product(bigC(b,b,c),b)) != product(product(product(a,product(b,c)),b),product(a,b))
    | product(product(product(a,product(b,c)),b),product(a,b)) != product(bigC(a,a,product(b,c)),b)
    | product(bigC(a,a,b),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,b),product(bigC(b,b,c),b)),product(bigC(a,a,product(b,c)),b)) ),[0],$fot(product(product(product(a,product(b,c)),b),product(a,b)))]]) ).

cnf(refute_0_19873,plain,
    ( product(bigC(a,a,b),product(bigC(b,b,c),b)) != product(product(product(a,product(b,c)),b),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),b),product(a,b)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19871,refute_0_19872]) ).

cnf(refute_0_19874,plain,
    ( bigC(product(a,b),bigC(b,b,c),product(a,b)) != product(product(product(a,product(b,c)),b),product(a,b))
    | product(bigC(a,a,b),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,b,c),b)),product(product(product(a,product(b,c)),b),product(a,b))) )],[refute_0_19855,refute_0_19873]) ).

cnf(refute_0_19875,plain,
    product(bigC(a,a,b),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),bigC(b,b,c),product(a,b)),product(product(product(a,product(b,c)),b),product(a,b))) )],[refute_0_19845,refute_0_19874]) ).

cnf(refute_0_19876,plain,
    product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(product(c,product(a,c)),product(bigC(b,b,c),b)),
    introduced(tautology,[refl,[$fot(product(product(c,product(a,c)),product(bigC(b,b,c),b)))]]) ).

cnf(refute_0_19877,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) != product(product(c,product(a,c)),product(bigC(b,b,c),b))
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(a,c)),product(bigC(b,b,c),b)),product(product(c,product(a,c)),product(bigC(b,b,c),b))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_19878,plain,
    ( product(c,product(a,c)) != bigC(a,a,b)
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),product(bigC(b,b,c),b)),product(product(c,product(a,c)),product(bigC(b,b,c),b))) )],[refute_0_19876,refute_0_19877]) ).

cnf(refute_0_19879,plain,
    product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,b),product(bigC(b,b,c),b)),
    inference(resolve,[$cnf( $equal(product(c,product(a,c)),bigC(a,a,b)) )],[refute_0_2622,refute_0_19878]) ).

cnf(refute_0_19880,plain,
    ( product(bigC(a,a,b),product(bigC(b,b,c),b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) != product(bigC(a,a,b),product(bigC(b,b,c),b))
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(a,c)),product(bigC(b,b,c),b)))),bind(Y,$fot(product(bigC(a,a,b),product(bigC(b,b,c),b)))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_19881,plain,
    ( product(bigC(a,a,b),product(bigC(b,b,c),b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),product(bigC(b,b,c),b)),product(bigC(a,a,b),product(bigC(b,b,c),b))) )],[refute_0_19879,refute_0_19880]) ).

cnf(refute_0_19882,plain,
    product(product(c,product(a,c)),product(bigC(b,b,c),b)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(bigC(b,b,c),b)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19875,refute_0_19881]) ).

cnf(refute_0_19883,plain,
    product(product(c,bigC(b,b,c)),product(product(a,c),b)) = product(product(c,product(a,c)),product(bigC(b,b,c),b)),
    inference(subst,[],[refute_0_11710:[bind(A,$fot(c)),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_19884,plain,
    ( product(product(c,bigC(b,b,c)),product(product(a,c),b)) != product(product(c,product(a,c)),product(bigC(b,b,c),b))
    | product(product(c,product(a,c)),product(bigC(b,b,c),b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,bigC(b,b,c)),product(product(a,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(b,b,c)),product(product(a,c),b)))),bind(Y,$fot(product(product(c,product(a,c)),product(bigC(b,b,c),b)))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_19885,plain,
    ( product(product(c,product(a,c)),product(bigC(b,b,c),b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,bigC(b,b,c)),product(product(a,c),b)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),product(product(a,c),b)),product(product(c,product(a,c)),product(bigC(b,b,c),b))) )],[refute_0_19883,refute_0_19884]) ).

cnf(refute_0_19886,plain,
    product(product(c,bigC(b,b,c)),product(product(a,c),b)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,c)),product(bigC(b,b,c),b)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19882,refute_0_19885]) ).

cnf(refute_0_19887,plain,
    quotient(product(product(product(a,c),b),c),c) = product(product(a,c),b),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(a,c),b))),bind(B,$fot(c))]]) ).

cnf(refute_0_19888,plain,
    ( product(product(product(a,c),b),c) != product(c,bigC(b,b,c))
    | quotient(product(product(product(a,c),b),c),c) != product(product(a,c),b)
    | quotient(product(c,bigC(b,b,c)),c) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(a,c),b),c),c),product(product(a,c),b)) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19889,plain,
    ( quotient(product(product(product(a,c),b),c),c) != product(product(a,c),b)
    | quotient(product(c,bigC(b,b,c)),c) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),c),product(c,bigC(b,b,c))) )],[refute_0_18761,refute_0_19888]) ).

cnf(refute_0_19890,plain,
    quotient(product(c,bigC(b,b,c)),c) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(a,c),b),c),c),product(product(a,c),b)) )],[refute_0_19887,refute_0_19889]) ).

cnf(refute_0_19891,plain,
    quotient(product(difference(product(b,product(c,a)),c),c),c) = difference(product(b,product(c,a)),c),
    inference(subst,[],[sos03:[bind(A,$fot(difference(product(b,product(c,a)),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_19892,plain,
    ( product(difference(product(b,product(c,a)),c),c) != product(c,bigC(b,b,c))
    | quotient(product(difference(product(b,product(c,a)),c),c),c) != difference(product(b,product(c,a)),c)
    | quotient(product(c,bigC(b,b,c)),c) = difference(product(b,product(c,a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(difference(product(b,product(c,a)),c),c),c),difference(product(b,product(c,a)),c)) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_19893,plain,
    ( quotient(product(difference(product(b,product(c,a)),c),c),c) != difference(product(b,product(c,a)),c)
    | quotient(product(c,bigC(b,b,c)),c) = difference(product(b,product(c,a)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(c,a)),c),c),product(c,bigC(b,b,c))) )],[refute_0_19770,refute_0_19892]) ).

cnf(refute_0_19894,plain,
    quotient(product(c,bigC(b,b,c)),c) = difference(product(b,product(c,a)),c),
    inference(resolve,[$cnf( $equal(quotient(product(difference(product(b,product(c,a)),c),c),c),difference(product(b,product(c,a)),c)) )],[refute_0_19891,refute_0_19893]) ).

cnf(refute_0_19895,plain,
    ( quotient(product(c,bigC(b,b,c)),c) != difference(product(b,product(c,a)),c)
    | quotient(product(c,bigC(b,b,c)),c) != product(product(a,c),b)
    | difference(product(b,product(c,a)),c) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),c),product(product(a,c),b)) ),[0],$fot(difference(product(b,product(c,a)),c))]]) ).

cnf(refute_0_19896,plain,
    ( quotient(product(c,bigC(b,b,c)),c) != product(product(a,c),b)
    | difference(product(b,product(c,a)),c) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),c),difference(product(b,product(c,a)),c)) )],[refute_0_19894,refute_0_19895]) ).

cnf(refute_0_19897,plain,
    difference(product(b,product(c,a)),c) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),c),product(product(a,c),b)) )],[refute_0_19890,refute_0_19896]) ).

cnf(refute_0_19898,plain,
    product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_19899,plain,
    ( difference(product(b,product(c,a)),c) != product(product(a,c),b)
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) != product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_19900,plain,
    ( difference(product(b,product(c,a)),c) != product(product(a,c),b)
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c))) )],[refute_0_19898,refute_0_19899]) ).

cnf(refute_0_19901,plain,
    product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(product(c,bigC(b,b,c)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),c),product(product(a,c),b)) )],[refute_0_19897,refute_0_19900]) ).

cnf(refute_0_19902,plain,
    ( product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) != product(product(c,bigC(b,b,c)),product(product(a,c),b))
    | product(product(c,bigC(b,b,c)),product(product(a,c),b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)))),bind(Y,$fot(product(product(c,bigC(b,b,c)),product(product(a,c),b)))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_19903,plain,
    ( product(product(c,bigC(b,b,c)),product(product(a,c),b)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),product(product(c,bigC(b,b,c)),product(product(a,c),b))) )],[refute_0_19901,refute_0_19902]) ).

cnf(refute_0_19904,plain,
    product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),product(product(a,c),b)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19886,refute_0_19903]) ).

cnf(refute_0_19905,plain,
    ( product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) != product(bigC(a,a,product(b,c)),b)
    | product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(bigC(a,a,product(b,c)),b) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) ),[0],$fot(product(bigC(a,a,product(b,c)),b))]]) ).

cnf(refute_0_19906,plain,
    ( product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(bigC(a,a,product(b,c)),b) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),product(bigC(a,a,product(b,c)),b)) )],[refute_0_19904,refute_0_19905]) ).

cnf(refute_0_19907,plain,
    quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),quotient(product(a,product(b,product(b,c))),product(a,b))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(product(a,product(b,product(b,c))))),bind(X_17,$fot(product(a,b)))]]) ).

cnf(refute_0_19908,plain,
    ( quotient(product(a,product(b,product(b,c))),product(a,b)) != product(c,product(c,b))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),quotient(product(a,product(b,product(b,c))),product(a,b)))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))),product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),quotient(product(a,product(b,product(b,c))),product(a,b)))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_19909,plain,
    ( quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),quotient(product(a,product(b,product(b,c))),product(a,b)))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,product(b,c))),product(a,b)),product(c,product(c,b))) )],[refute_0_14418,refute_0_19908]) ).

cnf(refute_0_19910,plain,
    quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))),product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),quotient(product(a,product(b,product(b,c))),product(a,b)))) )],[refute_0_19907,refute_0_19909]) ).

cnf(refute_0_19911,plain,
    product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(bigC(a,c,a),product(b,product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(b,product(b,product(b,c)))))]]) ).

cnf(refute_0_19912,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(b,product(b,product(b,c)))) != product(bigC(a,c,a),product(b,product(b,product(b,c))))
    | product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,product(b,c)))),product(bigC(a,c,a),product(b,product(b,product(b,c))))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_19913,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,product(b,c)))),product(bigC(a,c,a),product(b,product(b,product(b,c))))) )],[refute_0_19911,refute_0_19912]) ).

cnf(refute_0_19914,plain,
    product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_19913]) ).

cnf(refute_0_19915,plain,
    product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(bigC(a,c,a),product(b,product(b,product(b,c)))),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(product(b,product(b,c)))),bind(X_82,$fot(c))]]) ).

cnf(refute_0_19916,plain,
    ( product(bigC(a,c,a),product(b,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) != product(bigC(a,c,a),product(b,product(b,product(b,c))))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(a,product(b,product(b,c)))))),bind(Y,$fot(product(bigC(a,c,a),product(b,product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,a,c),product(b,product(b,product(b,c))))))]]) ).

cnf(refute_0_19917,plain,
    ( product(bigC(a,c,a),product(b,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(b,product(b,c)))),product(bigC(a,c,a),product(b,product(b,product(b,c))))) )],[refute_0_19915,refute_0_19916]) ).

cnf(refute_0_19918,plain,
    product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,product(b,c)))),product(bigC(a,a,c),product(b,product(b,product(b,c))))) )],[refute_0_19914,refute_0_19917]) ).

cnf(refute_0_19919,plain,
    difference(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) = product(product(a,b),product(c,b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,b))),bind(B,$fot(product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_19920,plain,
    ( difference(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != product(product(a,b),product(c,b))
    | product(product(a,b),product(product(a,b),product(c,b))) != difference(product(product(product(c,a),a),b),product(a,b))
    | difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),product(product(a,b),product(c,b))) ),[0,1],$fot(difference(product(product(product(c,a),a),b),product(a,b)))]]) ).

cnf(refute_0_19921,plain,
    ( difference(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))) != product(product(a,b),product(c,b))
    | difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),difference(product(product(product(c,a),a),b),product(a,b))) )],[refute_0_7757,refute_0_19920]) ).

cnf(refute_0_19922,plain,
    difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = product(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,b),product(product(a,b),product(c,b)))),product(product(a,b),product(c,b))) )],[refute_0_19919,refute_0_19921]) ).

cnf(refute_0_19923,plain,
    product(product(a,b),product(product(a,c),b)) = product(product(a,product(a,c)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(a)),bind(X_64,$fot(product(a,c))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_19924,plain,
    product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,b),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_19925,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(a,b),product(product(a,b),product(c,b))) != product(product(a,b),product(product(a,b),product(c,b)))
    | product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_19926,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(product(a,b),product(c,b)))) )],[refute_0_19924,refute_0_19925]) ).

cnf(refute_0_19927,plain,
    product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_19926]) ).

cnf(refute_0_19928,plain,
    ( product(product(a,b),product(product(a,b),product(c,b))) != product(product(a,b),product(product(a,c),b))
    | product(product(a,b),product(product(a,c),b)) != product(product(a,product(a,c)),b)
    | product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,product(a,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(product(a,b),product(c,b))))),bind(Y,$fot(product(product(a,b),product(product(a,c),b)))),bind(Z,$fot(product(product(a,product(a,c)),b)))]]) ).

cnf(refute_0_19929,plain,
    ( product(product(a,b),product(product(a,c),b)) != product(product(a,product(a,c)),b)
    | product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,product(a,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(product(a,c),b))) )],[refute_0_19927,refute_0_19928]) ).

cnf(refute_0_19930,plain,
    product(product(a,b),product(product(a,b),product(c,b))) = product(product(a,product(a,c)),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,c),b)),product(product(a,product(a,c)),b)) )],[refute_0_19923,refute_0_19929]) ).

cnf(refute_0_19931,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,b),product(product(a,b),product(c,b)))
    | product(product(a,b),product(product(a,b),product(c,b))) != product(product(a,product(a,c)),b)
    | difference(product(product(product(c,a),a),b),product(a,b)) = product(product(a,product(a,c)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,product(a,c)),b)) ),[0],$fot(product(product(a,b),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_19932,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,b),product(product(a,b),product(c,b)))
    | difference(product(product(product(c,a),a),b),product(a,b)) = product(product(a,product(a,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,product(a,c)),b)) )],[refute_0_19930,refute_0_19931]) ).

cnf(refute_0_19933,plain,
    difference(product(product(product(c,a),a),b),product(a,b)) = product(product(a,product(a,c)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(product(a,b),product(c,b)))) )],[refute_0_7755,refute_0_19932]) ).

cnf(refute_0_19934,plain,
    difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))))]]) ).

cnf(refute_0_19935,plain,
    ( difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b)))
    | difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = difference(product(a,b),product(product(a,product(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b)))) ),[1,1],$fot(product(product(a,product(a,c)),b))]]) ).

cnf(refute_0_19936,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = difference(product(a,b),product(product(a,product(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b)))) )],[refute_0_19934,refute_0_19935]) ).

cnf(refute_0_19937,plain,
    difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) = difference(product(a,b),product(product(a,product(a,c)),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,product(a,c)),b)) )],[refute_0_19933,refute_0_19936]) ).

cnf(refute_0_19938,plain,
    ( difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != difference(product(a,b),product(product(a,product(a,c)),b))
    | difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(a,b),product(c,b))
    | difference(product(a,b),product(product(a,product(a,c)),b)) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),product(product(a,b),product(c,b))) ),[0],$fot(difference(product(a,b),product(product(a,product(a,c)),b)))]]) ).

cnf(refute_0_19939,plain,
    ( difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(a,b),product(c,b))
    | difference(product(a,b),product(product(a,product(a,c)),b)) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),difference(product(a,b),product(product(a,product(a,c)),b))) )],[refute_0_19937,refute_0_19938]) ).

cnf(refute_0_19940,plain,
    ( difference(product(a,b),product(product(a,product(a,c)),b)) != product(product(a,b),product(c,b))
    | product(product(a,b),product(c,b)) != product(product(a,c),b)
    | difference(product(a,b),product(product(a,product(a,c)),b)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,b),product(product(a,product(a,c)),b)),product(product(a,c),b)) ),[0],$fot(product(product(a,b),product(c,b)))]]) ).

cnf(refute_0_19941,plain,
    ( difference(product(a,b),product(product(a,product(a,c)),b)) != product(product(a,b),product(c,b))
    | difference(product(a,b),product(product(a,product(a,c)),b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_19940]) ).

cnf(refute_0_19942,plain,
    ( difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))) != product(product(a,b),product(c,b))
    | difference(product(a,b),product(product(a,product(a,c)),b)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,product(a,c)),b)),product(product(a,b),product(c,b))) )],[refute_0_19939,refute_0_19941]) ).

cnf(refute_0_19943,plain,
    difference(product(a,b),product(product(a,product(a,c)),b)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(product(product(c,a),a),b),product(a,b))),product(product(a,b),product(c,b))) )],[refute_0_19922,refute_0_19942]) ).

cnf(refute_0_19944,plain,
    difference(product(product(product(c,a),a),b),product(a,b)) = difference(product(product(product(c,a),a),b),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(c,a),a),b),product(a,b)))]]) ).

cnf(refute_0_19945,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != difference(product(product(product(c,a),a),b),product(a,b))
    | product(product(product(c,a),a),b) != product(c,product(product(a,c),b))
    | difference(product(product(product(c,a),a),b),product(a,b)) = difference(product(c,product(product(a,c),b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),difference(product(product(product(c,a),a),b),product(a,b))) ),[1,0],$fot(product(c,product(product(a,c),b)))]]) ).

cnf(refute_0_19946,plain,
    ( product(product(product(c,a),a),b) != product(c,product(product(a,c),b))
    | difference(product(product(product(c,a),a),b),product(a,b)) = difference(product(c,product(product(a,c),b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),difference(product(product(product(c,a),a),b),product(a,b))) )],[refute_0_19944,refute_0_19945]) ).

cnf(refute_0_19947,plain,
    difference(product(product(product(c,a),a),b),product(a,b)) = difference(product(c,product(product(a,c),b)),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),a),b),product(c,product(product(a,c),b))) )],[refute_0_7841,refute_0_19946]) ).

cnf(refute_0_19948,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != difference(product(c,product(product(a,c),b)),product(a,b))
    | difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(c,product(product(a,c),b)),product(a,b)) = product(product(a,product(a,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,product(a,c)),b)) ),[0],$fot(difference(product(c,product(product(a,c),b)),product(a,b)))]]) ).

cnf(refute_0_19949,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(c,product(product(a,c),b)),product(a,b)) = product(product(a,product(a,c)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),difference(product(c,product(product(a,c),b)),product(a,b))) )],[refute_0_19947,refute_0_19948]) ).

cnf(refute_0_19950,plain,
    difference(product(c,product(product(a,c),b)),product(a,b)) = product(product(a,product(a,c)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,product(a,c)),b)) )],[refute_0_19933,refute_0_19949]) ).

cnf(refute_0_19951,plain,
    difference(product(c,product(product(a,c),b)),product(a,b)) = difference(product(c,product(product(a,c),b)),product(a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(product(a,c),b)),product(a,b)))]]) ).

cnf(refute_0_19952,plain,
    ( difference(product(c,product(product(a,c),b)),product(a,b)) != difference(product(c,product(product(a,c),b)),product(a,b))
    | product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | difference(product(c,product(product(a,c),b)),product(a,b)) = difference(product(a,product(b,product(b,c))),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(product(a,c),b)),product(a,b)),difference(product(c,product(product(a,c),b)),product(a,b))) ),[1,0],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_19953,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | difference(product(c,product(product(a,c),b)),product(a,b)) = difference(product(a,product(b,product(b,c))),product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),b)),product(a,b)),difference(product(c,product(product(a,c),b)),product(a,b))) )],[refute_0_19951,refute_0_19952]) ).

cnf(refute_0_19954,plain,
    difference(product(c,product(product(a,c),b)),product(a,b)) = difference(product(a,product(b,product(b,c))),product(a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_8201,refute_0_19953]) ).

cnf(refute_0_19955,plain,
    ( difference(product(c,product(product(a,c),b)),product(a,b)) != difference(product(a,product(b,product(b,c))),product(a,b))
    | difference(product(c,product(product(a,c),b)),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(a,product(b,product(b,c))),product(a,b)) = product(product(a,product(a,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(product(a,c),b)),product(a,b)),product(product(a,product(a,c)),b)) ),[0],$fot(difference(product(a,product(b,product(b,c))),product(a,b)))]]) ).

cnf(refute_0_19956,plain,
    ( difference(product(c,product(product(a,c),b)),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(a,product(b,product(b,c))),product(a,b)) = product(product(a,product(a,c)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),b)),product(a,b)),difference(product(a,product(b,product(b,c))),product(a,b))) )],[refute_0_19954,refute_0_19955]) ).

cnf(refute_0_19957,plain,
    difference(product(a,product(b,product(b,c))),product(a,b)) = product(product(a,product(a,c)),b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(product(a,c),b)),product(a,b)),product(product(a,product(a,c)),b)) )],[refute_0_19950,refute_0_19956]) ).

cnf(refute_0_19958,plain,
    difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))))]]) ).

cnf(refute_0_19959,plain,
    ( difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) != difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b)))
    | difference(product(a,product(b,product(b,c))),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = difference(product(a,b),product(product(a,product(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b)))) ),[1,1],$fot(product(product(a,product(a,c)),b))]]) ).

cnf(refute_0_19960,plain,
    ( difference(product(a,product(b,product(b,c))),product(a,b)) != product(product(a,product(a,c)),b)
    | difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = difference(product(a,b),product(product(a,product(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b)))) )],[refute_0_19958,refute_0_19959]) ).

cnf(refute_0_19961,plain,
    difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = difference(product(a,b),product(product(a,product(a,c)),b)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,product(b,c))),product(a,b)),product(product(a,product(a,c)),b)) )],[refute_0_19957,refute_0_19960]) ).

cnf(refute_0_19962,plain,
    ( difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) != difference(product(a,b),product(product(a,product(a,c)),b))
    | difference(product(a,b),product(product(a,product(a,c)),b)) != product(product(a,c),b)
    | difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = product(product(a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))))),bind(Y,$fot(difference(product(a,b),product(product(a,product(a,c)),b)))),bind(Z,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_19963,plain,
    ( difference(product(a,b),product(product(a,product(a,c)),b)) != product(product(a,c),b)
    | difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),difference(product(a,b),product(product(a,product(a,c)),b))) )],[refute_0_19961,refute_0_19962]) ).

cnf(refute_0_19964,plain,
    difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,product(a,c)),b)),product(product(a,c),b)) )],[refute_0_19943,refute_0_19963]) ).

cnf(refute_0_19965,plain,
    product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_19966,plain,
    ( difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) != product(product(a,c),b)
    | product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) != product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c))))
    | product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(product(product(a,c),b),product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))),product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c))))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_19967,plain,
    ( difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))) != product(product(a,c),b)
    | product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(product(product(a,c),b),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))),product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c))))) )],[refute_0_19965,refute_0_19966]) ).

cnf(refute_0_19968,plain,
    product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(product(product(a,c),b),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(product(a,c),b)) )],[refute_0_19964,refute_0_19967]) ).

cnf(refute_0_19969,plain,
    ( product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) != product(product(product(a,c),b),product(a,product(b,product(b,c))))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))))),bind(Y,$fot(product(product(product(a,c),b),product(a,product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,a,c),product(b,product(b,product(b,c))))))]]) ).

cnf(refute_0_19970,plain,
    ( product(product(product(a,c),b),product(a,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))),product(product(product(a,c),b),product(a,product(b,product(b,c))))) )],[refute_0_19968,refute_0_19969]) ).

cnf(refute_0_19971,plain,
    product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(b,product(b,c)))),product(bigC(a,a,c),product(b,product(b,product(b,c))))) )],[refute_0_19918,refute_0_19970]) ).

cnf(refute_0_19972,plain,
    quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(product(a,product(b,product(b,c))))),bind(X_21,$fot(product(a,b)))]]) ).

cnf(refute_0_19973,plain,
    ( product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c))))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))))),bind(Y,$fot(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))))),bind(Z,$fot(product(bigC(a,a,c),product(b,product(b,product(b,c))))))]]) ).

cnf(refute_0_19974,plain,
    ( product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))),product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c))))) )],[refute_0_19972,refute_0_19973]) ).

cnf(refute_0_19975,plain,
    quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) = product(bigC(a,a,c),product(b,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(difference(product(a,b),difference(product(a,product(b,product(b,c))),product(a,b))),product(a,product(b,product(b,c)))),product(bigC(a,a,c),product(b,product(b,product(b,c))))) )],[refute_0_19971,refute_0_19974]) ).

cnf(refute_0_19976,plain,
    ( quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))
    | product(bigC(a,a,c),product(b,product(b,product(b,c)))) = product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))),product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))) ),[0],$fot(product(bigC(a,a,c),product(b,product(b,product(b,c)))))]]) ).

cnf(refute_0_19977,plain,
    ( quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))
    | product(bigC(a,a,c),product(b,product(b,product(b,c)))) = product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))),product(bigC(a,a,c),product(b,product(b,product(b,c))))) )],[refute_0_19975,refute_0_19976]) ).

cnf(refute_0_19978,plain,
    product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(quotient(product(a,product(b,product(b,c))),product(a,b)),c),
    introduced(tautology,[refl,[$fot(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))]]) ).

cnf(refute_0_19979,plain,
    ( product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) != product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)
    | quotient(product(a,product(b,product(b,c))),product(a,b)) != product(c,product(c,b))
    | product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_19980,plain,
    ( quotient(product(a,product(b,product(b,c))),product(a,b)) != product(c,product(c,b))
    | product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) )],[refute_0_19978,refute_0_19979]) ).

cnf(refute_0_19981,plain,
    product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,product(b,c))),product(a,b)),product(c,product(c,b))) )],[refute_0_14418,refute_0_19980]) ).

cnf(refute_0_19982,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(a,b,b))
    | product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) != product(product(c,product(c,b)),c)
    | product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))),bind(Y,$fot(product(product(c,product(c,b)),c))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_19983,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(a,b,b))
    | product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c),product(product(c,product(c,b)),c)) )],[refute_0_19981,refute_0_19982]) ).

cnf(refute_0_19984,plain,
    product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),product(c,bigC(a,b,b))) )],[refute_0_14435,refute_0_19983]) ).

cnf(refute_0_19985,plain,
    product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)))]]) ).

cnf(refute_0_19986,plain,
    ( product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) != product(c,bigC(a,b,b))
    | product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_19987,plain,
    ( product(quotient(product(a,product(b,product(b,c))),product(a,b)),c) != product(c,bigC(a,b,b))
    | product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) )],[refute_0_19985,refute_0_19986]) ).

cnf(refute_0_19988,plain,
    product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c),product(c,bigC(a,b,b))) )],[refute_0_19984,refute_0_19987]) ).

cnf(refute_0_19989,plain,
    product(a,product(b,b)) = product(a,product(b,b)),
    introduced(tautology,[refl,[$fot(product(a,product(b,b)))]]) ).

cnf(refute_0_19990,plain,
    ( product(a,product(b,b)) != product(a,product(b,b))
    | product(b,b) != b
    | product(a,product(b,b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,product(b,b)),product(a,product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_19991,plain,
    ( product(b,b) != b
    | product(a,product(b,b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(a,product(b,b)),product(a,product(b,b))) )],[refute_0_19989,refute_0_19990]) ).

cnf(refute_0_19992,plain,
    product(a,product(b,b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_19991]) ).

cnf(refute_0_19993,plain,
    product(product(a,a),product(b,b)) = product(product(a,a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),product(b,b)))]]) ).

cnf(refute_0_19994,plain,
    ( product(a,a) != a
    | product(product(a,a),product(b,b)) != product(product(a,a),product(b,b))
    | product(product(a,a),product(b,b)) = product(a,product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),product(b,b)),product(product(a,a),product(b,b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_19995,plain,
    ( product(a,a) != a
    | product(product(a,a),product(b,b)) = product(a,product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,b)),product(product(a,a),product(b,b))) )],[refute_0_19993,refute_0_19994]) ).

cnf(refute_0_19996,plain,
    product(product(a,a),product(b,b)) = product(a,product(b,b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_19995]) ).

cnf(refute_0_19997,plain,
    ( product(a,product(b,b)) != product(a,b)
    | product(product(a,a),product(b,b)) != product(a,product(b,b))
    | product(product(a,a),product(b,b)) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),product(b,b)))),bind(Y,$fot(product(a,product(b,b)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_19998,plain,
    ( product(a,product(b,b)) != product(a,b)
    | product(product(a,a),product(b,b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,b)),product(a,product(b,b))) )],[refute_0_19996,refute_0_19997]) ).

cnf(refute_0_19999,plain,
    product(product(a,a),product(b,b)) = product(a,b),
    inference(resolve,[$cnf( $equal(product(a,product(b,b)),product(a,b)) )],[refute_0_19992,refute_0_19998]) ).

cnf(refute_0_20000,plain,
    product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)))]]) ).

cnf(refute_0_20001,plain,
    ( product(product(a,a),product(b,b)) != product(a,b)
    | product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_20002,plain,
    ( product(product(a,a),product(b,b)) != product(a,b)
    | product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) )],[refute_0_20000,refute_0_20001]) ).

cnf(refute_0_20003,plain,
    product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,b)),product(a,b)) )],[refute_0_19999,refute_0_20002]) ).

cnf(refute_0_20004,plain,
    ( product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)))),bind(Y,$fot(product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)))),bind(Z,$fot(product(product(a,b),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_20005,plain,
    ( product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) )],[refute_0_20003,refute_0_20004]) ).

cnf(refute_0_20006,plain,
    product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_19988,refute_0_20005]) ).

cnf(refute_0_20007,plain,
    product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) = product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_20008,plain,
    product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),
    inference(subst,[],[refute_0_8330:[bind(A,$fot(product(a,b))),bind(C,$fot(quotient(product(a,product(b,product(b,c))),product(a,b))))]]) ).

cnf(refute_0_20009,plain,
    ( product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) != product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))))),bind(Y,$fot(product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)))),bind(Z,$fot(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))))]]) ).

cnf(refute_0_20010,plain,
    ( product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))),product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) )],[refute_0_20008,refute_0_20009]) ).

cnf(refute_0_20011,plain,
    product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) )],[refute_0_20007,refute_0_20010]) ).

cnf(refute_0_20012,plain,
    ( product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) != product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))))),bind(Y,$fot(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)))),bind(Z,$fot(product(product(a,b),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_20013,plain,
    ( product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))),product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c))) )],[refute_0_20011,refute_0_20012]) ).

cnf(refute_0_20014,plain,
    product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(b,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),c)),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20006,refute_0_20013]) ).

cnf(refute_0_20015,plain,
    ( product(bigC(a,a,c),product(b,product(b,product(b,c)))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))
    | product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(bigC(a,a,c),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,c),product(b,product(b,product(b,c)))),product(product(a,b),product(c,bigC(a,b,b)))) ),[0],$fot(product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))))]]) ).

cnf(refute_0_20016,plain,
    ( product(bigC(a,a,c),product(b,product(b,product(b,c)))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))
    | product(bigC(a,a,c),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b))),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20014,refute_0_20015]) ).

cnf(refute_0_20017,plain,
    ( quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))) != product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))
    | product(bigC(a,a,c),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,product(b,product(b,c)))),product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))) )],[refute_0_19977,refute_0_20016]) ).

cnf(refute_0_20018,plain,
    product(bigC(a,a,c),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,product(b,product(b,c))),product(a,b)),product(quotient(product(a,product(b,product(b,c))),product(a,b)),product(a,product(b,product(b,c))))),product(product(product(a,b),quotient(product(a,product(b,product(b,c))),product(a,b))),product(c,product(c,b)))) )],[refute_0_19910,refute_0_20017]) ).

cnf(refute_0_20019,plain,
    ( product(bigC(a,a,c),product(b,product(b,product(b,c)))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(bigC(a,c,a),product(b,product(b,product(b,c)))) != product(bigC(a,a,c),product(b,product(b,product(b,c))))
    | product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,a),product(b,product(b,product(b,c)))))),bind(Y,$fot(product(bigC(a,a,c),product(b,product(b,product(b,c)))))),bind(Z,$fot(product(product(a,b),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_20020,plain,
    ( product(bigC(a,a,c),product(b,product(b,product(b,c)))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,product(b,c)))),product(bigC(a,a,c),product(b,product(b,product(b,c))))) )],[refute_0_19914,refute_0_20019]) ).

cnf(refute_0_20021,plain,
    product(bigC(a,c,a),product(b,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,product(b,product(b,c)))),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20018,refute_0_20020]) ).

cnf(refute_0_20022,plain,
    ( product(bigC(a,c,a),product(b,product(b,product(b,c)))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) != product(bigC(a,c,a),product(b,product(b,product(b,c))))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(a,product(b,product(b,c)))))),bind(Y,$fot(product(bigC(a,c,a),product(b,product(b,product(b,c)))))),bind(Z,$fot(product(product(a,b),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_20023,plain,
    ( product(bigC(a,c,a),product(b,product(b,product(b,c)))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(b,product(b,c)))),product(bigC(a,c,a),product(b,product(b,product(b,c))))) )],[refute_0_19915,refute_0_20022]) ).

cnf(refute_0_20024,plain,
    product(product(product(a,c),b),product(a,product(b,product(b,c)))) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,product(b,product(b,c)))),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20021,refute_0_20023]) ).

cnf(refute_0_20025,plain,
    product(c,difference(product(b,product(c,a)),c)) = product(c,difference(product(b,product(c,a)),c)),
    introduced(tautology,[refl,[$fot(product(c,difference(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_20026,plain,
    ( difference(product(b,product(c,a)),c) != product(product(a,c),b)
    | product(c,difference(product(b,product(c,a)),c)) != product(c,difference(product(b,product(c,a)),c))
    | product(c,difference(product(b,product(c,a)),c)) = product(c,product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(b,product(c,a)),c)),product(c,difference(product(b,product(c,a)),c))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_20027,plain,
    ( difference(product(b,product(c,a)),c) != product(product(a,c),b)
    | product(c,difference(product(b,product(c,a)),c)) = product(c,product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,product(c,a)),c)),product(c,difference(product(b,product(c,a)),c))) )],[refute_0_20025,refute_0_20026]) ).

cnf(refute_0_20028,plain,
    product(c,difference(product(b,product(c,a)),c)) = product(c,product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),c),product(product(a,c),b)) )],[refute_0_19897,refute_0_20027]) ).

cnf(refute_0_20029,plain,
    ( product(c,difference(product(b,product(c,a)),c)) != product(c,product(product(a,c),b))
    | product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | product(c,difference(product(b,product(c,a)),c)) = product(a,product(b,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,difference(product(b,product(c,a)),c)))),bind(Y,$fot(product(c,product(product(a,c),b)))),bind(Z,$fot(product(a,product(b,product(b,c)))))]]) ).

cnf(refute_0_20030,plain,
    ( product(c,product(product(a,c),b)) != product(a,product(b,product(b,c)))
    | product(c,difference(product(b,product(c,a)),c)) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,product(c,a)),c)),product(c,product(product(a,c),b))) )],[refute_0_20028,refute_0_20029]) ).

cnf(refute_0_20031,plain,
    product(c,difference(product(b,product(c,a)),c)) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,c),b)),product(a,product(b,product(b,c)))) )],[refute_0_8201,refute_0_20030]) ).

cnf(refute_0_20032,plain,
    ( difference(product(bigC(b,b,c),c),c) != product(c,difference(product(b,product(c,a)),c))
    | product(c,difference(product(b,product(c,a)),c)) != product(a,product(b,product(b,c)))
    | difference(product(bigC(b,b,c),c),c) = product(a,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(b,b,c),c),c),product(a,product(b,product(b,c)))) ),[0],$fot(product(c,difference(product(b,product(c,a)),c)))]]) ).

cnf(refute_0_20033,plain,
    ( difference(product(bigC(b,b,c),c),c) != product(c,difference(product(b,product(c,a)),c))
    | difference(product(bigC(b,b,c),c),c) = product(a,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(b,product(c,a)),c)),product(a,product(b,product(b,c)))) )],[refute_0_20031,refute_0_20032]) ).

cnf(refute_0_20034,plain,
    difference(product(bigC(b,b,c),c),c) = product(a,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),c),product(c,difference(product(b,product(c,a)),c))) )],[refute_0_19740,refute_0_20033]) ).

cnf(refute_0_20035,plain,
    product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)))]]) ).

cnf(refute_0_20036,plain,
    ( difference(product(bigC(b,b,c),c),c) != product(a,product(b,product(b,c)))
    | product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) != product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c))
    | product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),product(a,product(b,product(b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)),product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c))) ),[1,1],$fot(product(a,product(b,product(b,c))))]]) ).

cnf(refute_0_20037,plain,
    ( difference(product(bigC(b,b,c),c),c) != product(a,product(b,product(b,c)))
    | product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)),product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c))) )],[refute_0_20035,refute_0_20036]) ).

cnf(refute_0_20038,plain,
    product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,b,c),c),c),product(a,product(b,product(b,c)))) )],[refute_0_20034,refute_0_20037]) ).

cnf(refute_0_20039,plain,
    product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)))]]) ).

cnf(refute_0_20040,plain,
    ( difference(product(b,product(c,a)),c) != product(product(a,c),b)
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_20041,plain,
    ( difference(product(b,product(c,a)),c) != product(product(a,c),b)
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) )],[refute_0_20039,refute_0_20040]) ).

cnf(refute_0_20042,plain,
    product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)),
    inference(resolve,[$cnf( $equal(difference(product(b,product(c,a)),c),product(product(a,c),b)) )],[refute_0_19897,refute_0_20041]) ).

cnf(refute_0_20043,plain,
    ( product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) != product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c))
    | product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) != product(product(product(a,c),b),product(a,product(b,product(b,c))))
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),product(a,product(b,product(b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)))),bind(Y,$fot(product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)))),bind(Z,$fot(product(product(product(a,c),b),product(a,product(b,product(b,c))))))]]) ).

cnf(refute_0_20044,plain,
    ( product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)) != product(product(product(a,c),b),product(a,product(b,product(b,c))))
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),product(a,product(b,product(b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c))) )],[refute_0_20042,refute_0_20043]) ).

cnf(refute_0_20045,plain,
    product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(product(a,c),b),product(a,product(b,product(b,c)))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),difference(product(bigC(b,b,c),c),c)),product(product(product(a,c),b),product(a,product(b,product(b,c))))) )],[refute_0_20038,refute_0_20044]) ).

cnf(refute_0_20046,plain,
    ( product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) != product(product(product(a,c),b),product(a,product(b,product(b,c))))
    | product(product(product(a,c),b),product(a,product(b,product(b,c)))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)))),bind(Y,$fot(product(product(product(a,c),b),product(a,product(b,product(b,c)))))),bind(Z,$fot(product(product(a,b),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_20047,plain,
    ( product(product(product(a,c),b),product(a,product(b,product(b,c)))) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),product(product(product(a,c),b),product(a,product(b,product(b,c))))) )],[refute_0_20045,refute_0_20046]) ).

cnf(refute_0_20048,plain,
    product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,product(b,product(b,c)))),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20024,refute_0_20047]) ).

cnf(refute_0_20049,plain,
    ( product(bigC(a,a,product(b,c)),b) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(bigC(a,a,product(b,c)),b) = product(product(a,b),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,product(b,c)),b),product(product(a,b),product(c,bigC(a,b,b)))) ),[0],$fot(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)))]]) ).

cnf(refute_0_20050,plain,
    ( product(bigC(a,a,product(b,c)),b) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(bigC(a,a,product(b,c)),b) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c)),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20048,refute_0_20049]) ).

cnf(refute_0_20051,plain,
    ( product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)) != product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))
    | product(bigC(a,a,product(b,c)),b) = product(product(a,b),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),b),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) )],[refute_0_19906,refute_0_20050]) ).

cnf(refute_0_20052,plain,
    product(bigC(a,a,product(b,c)),b) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,b,c)),difference(product(b,product(c,a)),c)),product(difference(product(b,product(c,a)),c),difference(product(bigC(b,b,c),c),c))) )],[refute_0_19780,refute_0_20051]) ).

cnf(refute_0_20053,plain,
    product(c,product(quotient(c,a),X_138)) = product(product(c,quotient(c,a)),product(c,X_138)),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(c)),bind(X_65,$fot(quotient(c,a))),bind(X_66,$fot(X_138))]]) ).

cnf(refute_0_20054,plain,
    ( product(c,product(quotient(c,a),X_138)) != product(product(c,quotient(c,a)),product(c,X_138))
    | product(c,quotient(c,a)) != product(a,b)
    | product(c,product(quotient(c,a),X_138)) = product(product(a,b),product(c,X_138)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(quotient(c,a),X_138)),product(product(c,quotient(c,a)),product(c,X_138))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_20055,plain,
    ( product(c,product(quotient(c,a),X_138)) != product(product(c,quotient(c,a)),product(c,X_138))
    | product(c,product(quotient(c,a),X_138)) = product(product(a,b),product(c,X_138)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(c,a)),product(a,b)) )],[refute_0_12388,refute_0_20054]) ).

cnf(refute_0_20056,plain,
    product(c,product(quotient(c,a),X_138)) = product(product(a,b),product(c,X_138)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),X_138)),product(product(c,quotient(c,a)),product(c,X_138))) )],[refute_0_20053,refute_0_20055]) ).

cnf(refute_0_20057,plain,
    ( product(c,product(quotient(c,a),X_138)) != product(product(a,b),product(c,X_138))
    | product(product(a,b),product(c,X_138)) = product(c,product(quotient(c,a),X_138)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(quotient(c,a),X_138)))),bind(Y,$fot(product(product(a,b),product(c,X_138))))]]) ).

cnf(refute_0_20058,plain,
    product(product(a,b),product(c,X_138)) = product(c,product(quotient(c,a),X_138)),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),X_138)),product(product(a,b),product(c,X_138))) )],[refute_0_20056,refute_0_20057]) ).

cnf(refute_0_20059,plain,
    product(product(a,b),product(c,bigC(a,b,b))) = product(c,product(quotient(c,a),bigC(a,b,b))),
    inference(subst,[],[refute_0_20058:[bind(X_138,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_20060,plain,
    ( product(bigC(a,a,product(b,c)),b) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(a,b),product(c,bigC(a,b,b))) != product(c,product(quotient(c,a),bigC(a,b,b)))
    | product(bigC(a,a,product(b,c)),b) = product(c,product(quotient(c,a),bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,a,product(b,c)),b),product(c,product(quotient(c,a),bigC(a,b,b)))) ),[0],$fot(product(product(a,b),product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_20061,plain,
    ( product(bigC(a,a,product(b,c)),b) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(bigC(a,a,product(b,c)),b) = product(c,product(quotient(c,a),bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,bigC(a,b,b))),product(c,product(quotient(c,a),bigC(a,b,b)))) )],[refute_0_20059,refute_0_20060]) ).

cnf(refute_0_20062,plain,
    product(bigC(a,a,product(b,c)),b) = product(c,product(quotient(c,a),bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),b),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20052,refute_0_20061]) ).

cnf(refute_0_20063,plain,
    ( product(bigC(a,a,product(b,c)),b) != product(c,product(quotient(c,a),bigC(a,b,b)))
    | product(c,product(quotient(c,a),bigC(a,b,b))) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,product(b,c)),b))),bind(Y,$fot(product(c,product(quotient(c,a),bigC(a,b,b)))))]]) ).

cnf(refute_0_20064,plain,
    product(c,product(quotient(c,a),bigC(a,b,b))) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),b),product(c,product(quotient(c,a),bigC(a,b,b)))) )],[refute_0_20062,refute_0_20063]) ).

cnf(refute_0_20065,plain,
    ( product(c,product(quotient(c,a),bigC(a,b,b))) != product(bigC(a,a,product(b,c)),b)
    | product(product(a,b),product(c,bigC(a,b,b))) != product(c,product(quotient(c,a),bigC(a,b,b)))
    | product(product(a,b),product(c,bigC(a,b,b))) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(c,bigC(a,b,b))))),bind(Y,$fot(product(c,product(quotient(c,a),bigC(a,b,b))))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_20066,plain,
    ( product(c,product(quotient(c,a),bigC(a,b,b))) != product(bigC(a,a,product(b,c)),b)
    | product(product(a,b),product(c,bigC(a,b,b))) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,bigC(a,b,b))),product(c,product(quotient(c,a),bigC(a,b,b)))) )],[refute_0_20059,refute_0_20065]) ).

cnf(refute_0_20067,plain,
    product(product(a,b),product(c,bigC(a,b,b))) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(c,product(quotient(c,a),bigC(a,b,b))),product(bigC(a,a,product(b,c)),b)) )],[refute_0_20064,refute_0_20066]) ).

cnf(refute_0_20068,plain,
    bigC(difference(b,c),product(c,product(c,b)),C) = product(product(difference(b,c),product(c,product(c,b))),product(C,difference(b,c))),
    inference(subst,[],[sos08:[bind(A,$fot(difference(b,c))),bind(B,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_20069,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),C) != product(product(difference(b,c),product(c,product(c,b))),product(C,difference(b,c)))
    | product(difference(b,c),product(c,product(c,b))) != product(a,quotient(b,bigC(b,b,c)))
    | bigC(difference(b,c),product(c,product(c,b)),C) = product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),C),product(product(difference(b,c),product(c,product(c,b))),product(C,difference(b,c)))) ),[1,0],$fot(product(a,quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_20070,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),C) != product(product(difference(b,c),product(c,product(c,b))),product(C,difference(b,c)))
    | bigC(difference(b,c),product(c,product(c,b)),C) = product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(c,product(c,b))),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19485,refute_0_20069]) ).

cnf(refute_0_20071,plain,
    bigC(difference(b,c),product(c,product(c,b)),C) = product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),C),product(product(difference(b,c),product(c,product(c,b))),product(C,difference(b,c)))) )],[refute_0_20068,refute_0_20070]) ).

cnf(refute_0_20072,plain,
    product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) = product(product(A,C),product(quotient(b,bigC(b,b,c)),difference(b,c))),
    inference(subst,[],[sos05:[bind(B,$fot(quotient(b,bigC(b,b,c)))),bind(D,$fot(difference(b,c)))]]) ).

cnf(refute_0_20073,plain,
    difference(product(a,b),product(product(product(a,c),product(product(a,b),b)),c)) = product(product(product(a,b),b),product(a,c)),
    inference(subst,[],[refute_0_15874:[bind(X_26,$fot(product(product(a,b),b)))]]) ).

cnf(refute_0_20074,plain,
    ( difference(product(a,b),product(product(product(a,c),product(product(a,b),b)),c)) != product(product(product(a,b),b),product(a,c))
    | product(product(a,c),product(product(a,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) = product(product(product(a,b),b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(product(a,c),product(product(a,b),b)),c)),product(product(product(a,b),b),product(a,c))) ),[0,1,0],$fot(product(a,quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_20075,plain,
    ( difference(product(a,b),product(product(product(a,c),product(product(a,b),b)),c)) != product(product(product(a,b),b),product(a,c))
    | difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) = product(product(product(a,b),b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19464,refute_0_20074]) ).

cnf(refute_0_20076,plain,
    difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) = product(product(product(a,b),b),product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(product(a,c),product(product(a,b),b)),c)),product(product(product(a,b),b),product(a,c))) )],[refute_0_20073,refute_0_20075]) ).

cnf(refute_0_20077,plain,
    difference(product(difference(b,c),c),bigC(difference(b,c),c,X_23)) = product(X_23,difference(b,c)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(difference(b,c))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_20078,plain,
    ( difference(product(difference(b,c),c),bigC(difference(b,c),c,X_23)) != product(X_23,difference(b,c))
    | product(difference(b,c),c) != product(a,b)
    | difference(product(a,b),bigC(difference(b,c),c,X_23)) = product(X_23,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(difference(b,c),c),bigC(difference(b,c),c,X_23)),product(X_23,difference(b,c))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_20079,plain,
    ( difference(product(difference(b,c),c),bigC(difference(b,c),c,X_23)) != product(X_23,difference(b,c))
    | difference(product(a,b),bigC(difference(b,c),c,X_23)) = product(X_23,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),c),product(a,b)) )],[refute_0_16352,refute_0_20078]) ).

cnf(refute_0_20080,plain,
    difference(product(a,b),bigC(difference(b,c),c,X_23)) = product(X_23,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(difference(b,c),c),bigC(difference(b,c),c,X_23)),product(X_23,difference(b,c))) )],[refute_0_20077,refute_0_20079]) ).

cnf(refute_0_20081,plain,
    bigC(quotient(product(a,b),c),c,X_23) = product(product(a,b),product(X_23,quotient(product(a,b),c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(a,b))),bind(X_22,$fot(c))]]) ).

cnf(refute_0_20082,plain,
    ( bigC(quotient(product(a,b),c),c,X_23) != product(product(a,b),product(X_23,quotient(product(a,b),c)))
    | quotient(product(a,b),c) != difference(c,product(a,c))
    | bigC(quotient(product(a,b),c),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),product(product(a,b),product(X_23,quotient(product(a,b),c)))) ),[1,1,1],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_20083,plain,
    ( bigC(quotient(product(a,b),c),c,X_23) != product(product(a,b),product(X_23,quotient(product(a,b),c)))
    | bigC(quotient(product(a,b),c),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(c,product(a,c))) )],[refute_0_8157,refute_0_20082]) ).

cnf(refute_0_20084,plain,
    bigC(quotient(product(a,b),c),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),product(product(a,b),product(X_23,quotient(product(a,b),c)))) )],[refute_0_20081,refute_0_20083]) ).

cnf(refute_0_20085,plain,
    bigC(quotient(product(a,b),c),c,X_23) = bigC(quotient(product(a,b),c),c,X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(a,b),c),c,X_23))]]) ).

cnf(refute_0_20086,plain,
    ( bigC(quotient(product(a,b),c),c,X_23) != bigC(quotient(product(a,b),c),c,X_23)
    | quotient(product(a,b),c) != difference(c,product(a,c))
    | bigC(quotient(product(a,b),c),c,X_23) = bigC(difference(c,product(a,c)),c,X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),bigC(quotient(product(a,b),c),c,X_23)) ),[1,0],$fot(difference(c,product(a,c)))]]) ).

cnf(refute_0_20087,plain,
    ( quotient(product(a,b),c) != difference(c,product(a,c))
    | bigC(quotient(product(a,b),c),c,X_23) = bigC(difference(c,product(a,c)),c,X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),bigC(quotient(product(a,b),c),c,X_23)) )],[refute_0_20085,refute_0_20086]) ).

cnf(refute_0_20088,plain,
    bigC(quotient(product(a,b),c),c,X_23) = bigC(difference(c,product(a,c)),c,X_23),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),c),difference(c,product(a,c))) )],[refute_0_8157,refute_0_20087]) ).

cnf(refute_0_20089,plain,
    ( bigC(quotient(product(a,b),c),c,X_23) != bigC(difference(c,product(a,c)),c,X_23)
    | bigC(quotient(product(a,b),c),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | bigC(difference(c,product(a,c)),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),product(product(a,b),product(X_23,difference(c,product(a,c))))) ),[0],$fot(bigC(difference(c,product(a,c)),c,X_23))]]) ).

cnf(refute_0_20090,plain,
    ( bigC(quotient(product(a,b),c),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | bigC(difference(c,product(a,c)),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),bigC(difference(c,product(a,c)),c,X_23)) )],[refute_0_20088,refute_0_20089]) ).

cnf(refute_0_20091,plain,
    bigC(difference(c,product(a,c)),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,b),c),c,X_23),product(product(a,b),product(X_23,difference(c,product(a,c))))) )],[refute_0_20084,refute_0_20090]) ).

cnf(refute_0_20092,plain,
    bigC(difference(c,product(a,c)),c,X_23) = bigC(difference(c,product(a,c)),c,X_23),
    introduced(tautology,[refl,[$fot(bigC(difference(c,product(a,c)),c,X_23))]]) ).

cnf(refute_0_20093,plain,
    ( bigC(difference(c,product(a,c)),c,X_23) != bigC(difference(c,product(a,c)),c,X_23)
    | difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),c,X_23) = bigC(difference(b,c),c,X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),c,X_23),bigC(difference(c,product(a,c)),c,X_23)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_20094,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | bigC(difference(c,product(a,c)),c,X_23) = bigC(difference(b,c),c,X_23) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),c,X_23),bigC(difference(c,product(a,c)),c,X_23)) )],[refute_0_20092,refute_0_20093]) ).

cnf(refute_0_20095,plain,
    bigC(difference(c,product(a,c)),c,X_23) = bigC(difference(b,c),c,X_23),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_20094]) ).

cnf(refute_0_20096,plain,
    ( bigC(difference(c,product(a,c)),c,X_23) != bigC(difference(b,c),c,X_23)
    | bigC(difference(c,product(a,c)),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | bigC(difference(b,c),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,product(a,c)),c,X_23),product(product(a,b),product(X_23,difference(c,product(a,c))))) ),[0],$fot(bigC(difference(b,c),c,X_23))]]) ).

cnf(refute_0_20097,plain,
    ( bigC(difference(c,product(a,c)),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | bigC(difference(b,c),c,X_23) = product(product(a,b),product(X_23,difference(c,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),c,X_23),bigC(difference(b,c),c,X_23)) )],[refute_0_20095,refute_0_20096]) ).

cnf(refute_0_20098,plain,
    product(product(a,b),product(X_23,difference(b,c))) = product(product(a,X_23),c),
    inference(subst,[],[refute_0_13602:[bind(B,$fot(c)),bind(X_63,$fot(a)),bind(X_64,$fot(X_23)),bind(X_65,$fot(b))]]) ).

cnf(refute_0_20099,plain,
    product(X_23,difference(c,product(a,c))) = product(X_23,difference(c,product(a,c))),
    introduced(tautology,[refl,[$fot(product(X_23,difference(c,product(a,c))))]]) ).

cnf(refute_0_20100,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(X_23,difference(c,product(a,c))) != product(X_23,difference(c,product(a,c)))
    | product(X_23,difference(c,product(a,c))) = product(X_23,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_23,difference(c,product(a,c))),product(X_23,difference(c,product(a,c)))) ),[1,1],$fot(difference(b,c))]]) ).

cnf(refute_0_20101,plain,
    ( difference(c,product(a,c)) != difference(b,c)
    | product(X_23,difference(c,product(a,c))) = product(X_23,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(product(X_23,difference(c,product(a,c))),product(X_23,difference(c,product(a,c)))) )],[refute_0_20099,refute_0_20100]) ).

cnf(refute_0_20102,plain,
    product(X_23,difference(c,product(a,c))) = product(X_23,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(a,c)),difference(b,c)) )],[refute_0_13828,refute_0_20101]) ).

cnf(refute_0_20103,plain,
    product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,b),product(X_23,difference(c,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(product(a,b),product(X_23,difference(c,product(a,c)))))]]) ).

cnf(refute_0_20104,plain,
    ( product(X_23,difference(c,product(a,c))) != product(X_23,difference(b,c))
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,b),product(X_23,difference(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,b),product(X_23,difference(c,product(a,c)))),product(product(a,b),product(X_23,difference(c,product(a,c))))) ),[1,1],$fot(product(X_23,difference(b,c)))]]) ).

cnf(refute_0_20105,plain,
    ( product(X_23,difference(c,product(a,c))) != product(X_23,difference(b,c))
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,b),product(X_23,difference(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_23,difference(c,product(a,c)))),product(product(a,b),product(X_23,difference(c,product(a,c))))) )],[refute_0_20103,refute_0_20104]) ).

cnf(refute_0_20106,plain,
    product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,b),product(X_23,difference(b,c))),
    inference(resolve,[$cnf( $equal(product(X_23,difference(c,product(a,c))),product(X_23,difference(b,c))) )],[refute_0_20102,refute_0_20105]) ).

cnf(refute_0_20107,plain,
    ( product(product(a,b),product(X_23,difference(b,c))) != product(product(a,X_23),c)
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) != product(product(a,b),product(X_23,difference(b,c)))
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,b),product(X_23,difference(c,product(a,c)))))),bind(Y,$fot(product(product(a,b),product(X_23,difference(b,c))))),bind(Z,$fot(product(product(a,X_23),c)))]]) ).

cnf(refute_0_20108,plain,
    ( product(product(a,b),product(X_23,difference(b,c))) != product(product(a,X_23),c)
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_23,difference(c,product(a,c)))),product(product(a,b),product(X_23,difference(b,c)))) )],[refute_0_20106,refute_0_20107]) ).

cnf(refute_0_20109,plain,
    product(product(a,b),product(X_23,difference(c,product(a,c)))) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_23,difference(b,c))),product(product(a,X_23),c)) )],[refute_0_20098,refute_0_20108]) ).

cnf(refute_0_20110,plain,
    ( bigC(difference(b,c),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | product(product(a,b),product(X_23,difference(c,product(a,c)))) != product(product(a,X_23),c)
    | bigC(difference(b,c),c,X_23) = product(product(a,X_23),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),c,X_23),product(product(a,X_23),c)) ),[0],$fot(product(product(a,b),product(X_23,difference(c,product(a,c)))))]]) ).

cnf(refute_0_20111,plain,
    ( bigC(difference(b,c),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | bigC(difference(b,c),c,X_23) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(X_23,difference(c,product(a,c)))),product(product(a,X_23),c)) )],[refute_0_20109,refute_0_20110]) ).

cnf(refute_0_20112,plain,
    ( bigC(difference(c,product(a,c)),c,X_23) != product(product(a,b),product(X_23,difference(c,product(a,c))))
    | bigC(difference(b,c),c,X_23) = product(product(a,X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,X_23),product(product(a,b),product(X_23,difference(c,product(a,c))))) )],[refute_0_20097,refute_0_20111]) ).

cnf(refute_0_20113,plain,
    bigC(difference(b,c),c,X_23) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(bigC(difference(c,product(a,c)),c,X_23),product(product(a,b),product(X_23,difference(c,product(a,c))))) )],[refute_0_20091,refute_0_20112]) ).

cnf(refute_0_20114,plain,
    difference(product(a,b),bigC(difference(b,c),c,X_23)) = difference(product(a,b),bigC(difference(b,c),c,X_23)),
    introduced(tautology,[refl,[$fot(difference(product(a,b),bigC(difference(b,c),c,X_23)))]]) ).

cnf(refute_0_20115,plain,
    ( bigC(difference(b,c),c,X_23) != product(product(a,X_23),c)
    | difference(product(a,b),bigC(difference(b,c),c,X_23)) != difference(product(a,b),bigC(difference(b,c),c,X_23))
    | difference(product(a,b),bigC(difference(b,c),c,X_23)) = difference(product(a,b),product(product(a,X_23),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(difference(b,c),c,X_23)),difference(product(a,b),bigC(difference(b,c),c,X_23))) ),[1,1],$fot(product(product(a,X_23),c))]]) ).

cnf(refute_0_20116,plain,
    ( bigC(difference(b,c),c,X_23) != product(product(a,X_23),c)
    | difference(product(a,b),bigC(difference(b,c),c,X_23)) = difference(product(a,b),product(product(a,X_23),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(difference(b,c),c,X_23)),difference(product(a,b),bigC(difference(b,c),c,X_23))) )],[refute_0_20114,refute_0_20115]) ).

cnf(refute_0_20117,plain,
    difference(product(a,b),bigC(difference(b,c),c,X_23)) = difference(product(a,b),product(product(a,X_23),c)),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),c,X_23),product(product(a,X_23),c)) )],[refute_0_20113,refute_0_20116]) ).

cnf(refute_0_20118,plain,
    ( difference(product(a,b),bigC(difference(b,c),c,X_23)) != difference(product(a,b),product(product(a,X_23),c))
    | difference(product(a,b),bigC(difference(b,c),c,X_23)) != product(X_23,difference(b,c))
    | difference(product(a,b),product(product(a,X_23),c)) = product(X_23,difference(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(difference(b,c),c,X_23)),product(X_23,difference(b,c))) ),[0],$fot(difference(product(a,b),product(product(a,X_23),c)))]]) ).

cnf(refute_0_20119,plain,
    ( difference(product(a,b),bigC(difference(b,c),c,X_23)) != product(X_23,difference(b,c))
    | difference(product(a,b),product(product(a,X_23),c)) = product(X_23,difference(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(difference(b,c),c,X_23)),difference(product(a,b),product(product(a,X_23),c))) )],[refute_0_20117,refute_0_20118]) ).

cnf(refute_0_20120,plain,
    difference(product(a,b),product(product(a,X_23),c)) = product(X_23,difference(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(difference(b,c),c,X_23)),product(X_23,difference(b,c))) )],[refute_0_20080,refute_0_20119]) ).

cnf(refute_0_20121,plain,
    difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) = product(quotient(b,bigC(b,b,c)),difference(b,c)),
    inference(subst,[],[refute_0_20120:[bind(X_23,$fot(quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_20122,plain,
    ( difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) != product(product(product(a,b),b),product(a,c))
    | difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) != product(quotient(b,bigC(b,b,c)),difference(b,c))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) = product(product(product(a,b),b),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)),product(product(product(a,b),b),product(a,c))) ),[0],$fot(product(quotient(b,bigC(b,b,c)),difference(b,c)))]]) ).

cnf(refute_0_20123,plain,
    ( difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) != product(product(product(a,b),b),product(a,c))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) = product(product(product(a,b),b),product(a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)),product(quotient(b,bigC(b,b,c)),difference(b,c))) )],[refute_0_20121,refute_0_20122]) ).

cnf(refute_0_20124,plain,
    ( bigC(a,b,product(c,b)) != bigC(c,b,product(a,c))
    | bigC(a,b,product(c,b)) != product(c,bigC(a,b,b))
    | product(c,bigC(a,b,b)) = bigC(c,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,b,product(c,b)),bigC(c,b,product(a,c))) ),[0],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_20125,plain,
    ( bigC(a,b,product(c,b)) != bigC(c,b,product(a,c))
    | product(c,bigC(a,b,b)) = bigC(c,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),product(c,bigC(a,b,b))) )],[refute_0_15118,refute_0_20124]) ).

cnf(refute_0_20126,plain,
    product(c,bigC(a,b,b)) = bigC(c,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,b)),bigC(c,b,product(a,c))) )],[refute_0_14885,refute_0_20125]) ).

cnf(refute_0_20127,plain,
    ( product(c,bigC(a,b,b)) != bigC(c,b,product(a,c))
    | bigC(c,b,product(a,c)) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,b,b)))),bind(Y,$fot(bigC(c,b,product(a,c))))]]) ).

cnf(refute_0_20128,plain,
    bigC(c,b,product(a,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,b,b)),bigC(c,b,product(a,c))) )],[refute_0_20126,refute_0_20127]) ).

cnf(refute_0_20129,plain,
    ( bigC(c,b,product(a,c)) != product(c,bigC(a,b,b))
    | bigC(c,product(a,c),b) != bigC(c,b,product(a,c))
    | bigC(c,product(a,c),b) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,c),b))),bind(Y,$fot(bigC(c,b,product(a,c)))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_20130,plain,
    ( bigC(c,b,product(a,c)) != product(c,bigC(a,b,b))
    | bigC(c,product(a,c),b) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),b),bigC(c,b,product(a,c))) )],[refute_0_14477,refute_0_20129]) ).

cnf(refute_0_20131,plain,
    bigC(c,product(a,c),b) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,c)),product(c,bigC(a,b,b))) )],[refute_0_20128,refute_0_20130]) ).

cnf(refute_0_20132,plain,
    product(bigC(a,a,b),product(b,c)) = bigC(c,product(a,c),b),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_20133,plain,
    ( bigC(c,product(a,c),b) != product(c,bigC(a,b,b))
    | product(bigC(a,a,b),product(b,c)) != bigC(c,product(a,c),b)
    | product(bigC(a,a,b),product(b,c)) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(b,c)))),bind(Y,$fot(bigC(c,product(a,c),b))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_20134,plain,
    ( bigC(c,product(a,c),b) != product(c,bigC(a,b,b))
    | product(bigC(a,a,b),product(b,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,c)),bigC(c,product(a,c),b)) )],[refute_0_20132,refute_0_20133]) ).

cnf(refute_0_20135,plain,
    product(bigC(a,a,b),product(b,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),b),product(c,bigC(a,b,b))) )],[refute_0_20131,refute_0_20134]) ).

cnf(refute_0_20136,plain,
    product(bigC(a,b,a),product(b,c)) = product(bigC(a,b,a),product(b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,a),product(b,c)))]]) ).

cnf(refute_0_20137,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(b,c)) != product(bigC(a,b,a),product(b,c))
    | product(bigC(a,b,a),product(b,c)) = product(bigC(a,a,b),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,a),product(b,c)),product(bigC(a,b,a),product(b,c))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_20138,plain,
    ( bigC(a,b,a) != bigC(a,a,b)
    | product(bigC(a,b,a),product(b,c)) = product(bigC(a,a,b),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(b,c)),product(bigC(a,b,a),product(b,c))) )],[refute_0_20136,refute_0_20137]) ).

cnf(refute_0_20139,plain,
    product(bigC(a,b,a),product(b,c)) = product(bigC(a,a,b),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,b,a),bigC(a,a,b)) )],[refute_0_867,refute_0_20138]) ).

cnf(refute_0_20140,plain,
    ( product(bigC(a,a,b),product(b,c)) != product(c,bigC(a,b,b))
    | product(bigC(a,b,a),product(b,c)) != product(bigC(a,a,b),product(b,c))
    | product(bigC(a,b,a),product(b,c)) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,a),product(b,c)))),bind(Y,$fot(product(bigC(a,a,b),product(b,c)))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_20141,plain,
    ( product(bigC(a,a,b),product(b,c)) != product(c,bigC(a,b,b))
    | product(bigC(a,b,a),product(b,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(b,c)),product(bigC(a,a,b),product(b,c))) )],[refute_0_20139,refute_0_20140]) ).

cnf(refute_0_20142,plain,
    product(bigC(a,b,a),product(b,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(b,c)),product(c,bigC(a,b,b))) )],[refute_0_20135,refute_0_20141]) ).

cnf(refute_0_20143,plain,
    product(product(product(a,b),b),product(a,c)) = product(bigC(a,b,a),product(b,c)),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(c)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_20144,plain,
    ( product(bigC(a,b,a),product(b,c)) != product(c,bigC(a,b,b))
    | product(product(product(a,b),b),product(a,c)) != product(bigC(a,b,a),product(b,c))
    | product(product(product(a,b),b),product(a,c)) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),b),product(a,c)))),bind(Y,$fot(product(bigC(a,b,a),product(b,c)))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_20145,plain,
    ( product(bigC(a,b,a),product(b,c)) != product(c,bigC(a,b,b))
    | product(product(product(a,b),b),product(a,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),product(a,c)),product(bigC(a,b,a),product(b,c))) )],[refute_0_20143,refute_0_20144]) ).

cnf(refute_0_20146,plain,
    product(product(product(a,b),b),product(a,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,a),product(b,c)),product(c,bigC(a,b,b))) )],[refute_0_20142,refute_0_20145]) ).

cnf(refute_0_20147,plain,
    ( product(product(product(a,b),b),product(a,c)) != product(c,bigC(a,b,b))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) != product(product(product(a,b),b),product(a,c))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) = product(c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(b,bigC(b,b,c)),difference(b,c)),product(product(product(a,b),b),product(a,c))) ),[1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_20148,plain,
    ( product(quotient(b,bigC(b,b,c)),difference(b,c)) != product(product(product(a,b),b),product(a,c))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),b),product(a,c)),product(c,bigC(a,b,b))) )],[refute_0_20146,refute_0_20147]) ).

cnf(refute_0_20149,plain,
    ( difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)) != product(product(product(a,b),b),product(a,c))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,bigC(b,b,c)),difference(b,c)),product(product(product(a,b),b),product(a,c))) )],[refute_0_20123,refute_0_20148]) ).

cnf(refute_0_20150,plain,
    product(quotient(b,bigC(b,b,c)),difference(b,c)) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(product(a,quotient(b,bigC(b,b,c))),c)),product(product(product(a,b),b),product(a,c))) )],[refute_0_20076,refute_0_20149]) ).

cnf(refute_0_20151,plain,
    ( product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) != product(product(A,C),product(quotient(b,bigC(b,b,c)),difference(b,c)))
    | product(quotient(b,bigC(b,b,c)),difference(b,c)) != product(c,bigC(a,b,b))
    | product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) = product(product(A,C),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))),product(product(A,C),product(quotient(b,bigC(b,b,c)),difference(b,c)))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_20152,plain,
    ( product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) != product(product(A,C),product(quotient(b,bigC(b,b,c)),difference(b,c)))
    | product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) = product(product(A,C),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,bigC(b,b,c)),difference(b,c)),product(c,bigC(a,b,b))) )],[refute_0_20150,refute_0_20151]) ).

cnf(refute_0_20153,plain,
    product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) = product(product(A,C),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(A,quotient(b,bigC(b,b,c))),product(C,difference(b,c))),product(product(A,C),product(quotient(b,bigC(b,b,c)),difference(b,c)))) )],[refute_0_20072,refute_0_20152]) ).

cnf(refute_0_20154,plain,
    product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) = product(product(a,C),product(c,bigC(a,b,b))),
    inference(subst,[],[refute_0_20153:[bind(A,$fot(a))]]) ).

cnf(refute_0_20155,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),C) != product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c)))
    | product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))) != product(product(a,C),product(c,bigC(a,b,b)))
    | bigC(difference(b,c),product(c,product(c,b)),C) = product(product(a,C),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(difference(b,c),product(c,product(c,b)),C),product(product(a,C),product(c,bigC(a,b,b)))) ),[0],$fot(product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))))]]) ).

cnf(refute_0_20156,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),C) != product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c)))
    | bigC(difference(b,c),product(c,product(c,b)),C) = product(product(a,C),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c))),product(product(a,C),product(c,bigC(a,b,b)))) )],[refute_0_20154,refute_0_20155]) ).

cnf(refute_0_20157,plain,
    bigC(difference(b,c),product(c,product(c,b)),C) = product(product(a,C),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),C),product(product(a,quotient(b,bigC(b,b,c))),product(C,difference(b,c)))) )],[refute_0_20071,refute_0_20156]) ).

cnf(refute_0_20158,plain,
    bigC(difference(b,c),product(c,product(c,b)),b) = product(product(a,b),product(c,bigC(a,b,b))),
    inference(subst,[],[refute_0_20157:[bind(C,$fot(b))]]) ).

cnf(refute_0_20159,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),b) != product(product(a,b),product(c,bigC(a,b,b)))
    | product(product(a,b),product(c,bigC(a,b,b))) != product(bigC(a,a,product(b,c)),b)
    | bigC(difference(b,c),product(c,product(c,b)),b) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(b,c),product(c,product(c,b)),b))),bind(Y,$fot(product(product(a,b),product(c,bigC(a,b,b))))),bind(Z,$fot(product(bigC(a,a,product(b,c)),b)))]]) ).

cnf(refute_0_20160,plain,
    ( product(product(a,b),product(c,bigC(a,b,b))) != product(bigC(a,a,product(b,c)),b)
    | bigC(difference(b,c),product(c,product(c,b)),b) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),b),product(product(a,b),product(c,bigC(a,b,b)))) )],[refute_0_20158,refute_0_20159]) ).

cnf(refute_0_20161,plain,
    bigC(difference(b,c),product(c,product(c,b)),b) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,bigC(a,b,b))),product(bigC(a,a,product(b,c)),b)) )],[refute_0_20067,refute_0_20160]) ).

cnf(refute_0_20162,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),b) != product(bigC(a,a,product(b,c)),b)
    | bigC(difference(b,c),product(c,product(c,b)),b) != product(product(a,quotient(b,bigC(b,b,c))),c)
    | product(bigC(a,a,product(b,c)),b) = product(product(a,quotient(b,bigC(b,b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),b),product(product(a,quotient(b,bigC(b,b,c))),c)) ),[0],$fot(product(bigC(a,a,product(b,c)),b))]]) ).

cnf(refute_0_20163,plain,
    ( bigC(difference(b,c),product(c,product(c,b)),b) != product(product(a,quotient(b,bigC(b,b,c))),c)
    | product(bigC(a,a,product(b,c)),b) = product(product(a,quotient(b,bigC(b,b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),b),product(bigC(a,a,product(b,c)),b)) )],[refute_0_20161,refute_0_20162]) ).

cnf(refute_0_20164,plain,
    product(bigC(a,a,product(b,c)),b) = product(product(a,quotient(b,bigC(b,b,c))),c),
    inference(resolve,[$cnf( $equal(bigC(difference(b,c),product(c,product(c,b)),b),product(product(a,quotient(b,bigC(b,b,c))),c)) )],[refute_0_19488,refute_0_20163]) ).

cnf(refute_0_20165,plain,
    ( product(bigC(a,a,product(b,c)),b) != product(product(a,quotient(b,bigC(b,b,c))),c)
    | product(product(a,quotient(b,bigC(b,b,c))),c) = product(bigC(a,a,product(b,c)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,a,product(b,c)),b))),bind(Y,$fot(product(product(a,quotient(b,bigC(b,b,c))),c)))]]) ).

cnf(refute_0_20166,plain,
    product(product(a,quotient(b,bigC(b,b,c))),c) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,product(b,c)),b),product(product(a,quotient(b,bigC(b,b,c))),c)) )],[refute_0_20164,refute_0_20165]) ).

cnf(refute_0_20167,plain,
    ( product(product(a,quotient(b,bigC(b,b,c))),c) != product(bigC(a,a,product(b,c)),b)
    | product(product(product(product(a,quotient(b,bigC(b,b,c))),c),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != c
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,quotient(b,bigC(b,b,c))),c),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),c) ),[0,0,0],$fot(product(bigC(a,a,product(b,c)),b))]]) ).

cnf(refute_0_20168,plain,
    ( product(product(product(product(a,quotient(b,bigC(b,b,c))),c),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != c
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = c ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(b,bigC(b,b,c))),c),product(bigC(a,a,product(b,c)),b)) )],[refute_0_20166,refute_0_20167]) ).

cnf(refute_0_20169,plain,
    product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(product(a,quotient(b,bigC(b,b,c))),c),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),c) )],[refute_0_22,refute_0_20168]) ).

cnf(refute_0_20170,plain,
    bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(b,b,product(c,a)))),bind(B,$fot(a)),bind(C,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_20171,plain,
    bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(b,c,bigC(a,b,b)))),bind(X_22,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_20172,plain,
    quotient(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),product(product(c,product(c,b)),product(b,c))) = product(product(b,c),bigC(b,b,c)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(b,c))),bind(X_22,$fot(bigC(b,b,c))),bind(X_23,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_20173,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_12:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(bigC(b,b,c))),bind(C,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_20174,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),product(bigC(b,b,c),bigC(b,a,b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(b,a,b))),bind(X_23,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_20175,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),product(bigC(b,b,c),bigC(b,a,b)))
    | product(bigC(b,b,c),bigC(b,a,b)) != bigC(c,b,product(b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(c,b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),product(bigC(b,a,b),product(bigC(b,b,c),bigC(b,a,b)))) ),[1,1],$fot(bigC(c,b,product(b,c)))]]) ).

cnf(refute_0_20176,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),product(bigC(b,b,c),bigC(b,a,b)))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(c,b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),bigC(b,a,b)),bigC(c,b,product(b,c))) )],[refute_0_9741,refute_0_20175]) ).

cnf(refute_0_20177,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(c,b,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),product(bigC(b,a,b),product(bigC(b,b,c),bigC(b,a,b)))) )],[refute_0_20174,refute_0_20176]) ).

cnf(refute_0_20178,plain,
    product(bigC(b,a,b),bigC(c,b,product(b,c))) = product(bigC(b,a,b),bigC(c,b,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_20179,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(bigC(b,a,b),bigC(c,b,product(b,c))) != product(bigC(b,a,b),bigC(c,b,product(b,c)))
    | product(bigC(b,a,b),bigC(c,b,product(b,c))) = product(bigC(b,a,b),bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(c,b,product(b,c))),product(bigC(b,a,b),bigC(c,b,product(b,c)))) ),[1,1],$fot(bigC(b,c,product(b,c)))]]) ).

cnf(refute_0_20180,plain,
    ( bigC(c,b,product(b,c)) != bigC(b,c,product(b,c))
    | product(bigC(b,a,b),bigC(c,b,product(b,c))) = product(bigC(b,a,b),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(c,b,product(b,c))),product(bigC(b,a,b),bigC(c,b,product(b,c)))) )],[refute_0_20178,refute_0_20179]) ).

cnf(refute_0_20181,plain,
    product(bigC(b,a,b),bigC(c,b,product(b,c))) = product(bigC(b,a,b),bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(b,c)),bigC(b,c,product(b,c))) )],[refute_0_9758,refute_0_20180]) ).

cnf(refute_0_20182,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(c,b,product(b,c)))
    | product(bigC(b,a,b),bigC(c,b,product(b,c))) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),product(bigC(b,a,b),bigC(b,c,product(b,c)))) ),[0],$fot(product(bigC(b,a,b),bigC(c,b,product(b,c))))]]) ).

cnf(refute_0_20183,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(c,b,product(b,c)))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(c,b,product(b,c))),product(bigC(b,a,b),bigC(b,c,product(b,c)))) )],[refute_0_20181,refute_0_20182]) ).

cnf(refute_0_20184,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),product(bigC(b,a,b),bigC(c,b,product(b,c)))) )],[refute_0_20177,refute_0_20183]) ).

cnf(refute_0_20185,plain,
    bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_20186,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) != bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c))
    | bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20187,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c))) )],[refute_0_20185,refute_0_20186]) ).

cnf(refute_0_20188,plain,
    bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20187]) ).

cnf(refute_0_20189,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),
    introduced(tautology,[refl,[$fot(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)))]]) ).

cnf(refute_0_20190,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20191,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c))) )],[refute_0_20189,refute_0_20190]) ).

cnf(refute_0_20192,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20191]) ).

cnf(refute_0_20193,plain,
    ( bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) != bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)))),bind(Y,$fot(bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)))),bind(Z,$fot(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))))]]) ).

cnf(refute_0_20194,plain,
    ( bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)) != bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c))) )],[refute_0_20192,refute_0_20193]) ).

cnf(refute_0_20195,plain,
    bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) = bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_20188,refute_0_20194]) ).

cnf(refute_0_20196,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),product(bigC(b,a,b),bigC(b,c,product(b,c)))) ),[0],$fot(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)))]]) ).

cnf(refute_0_20197,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(b,a,b),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_20195,refute_0_20196]) ).

cnf(refute_0_20198,plain,
    product(bigC(b,a,b),bigC(b,c,product(b,c))) = product(bigC(b,a,b),bigC(b,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_20199,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),bigC(b,c,product(b,c))) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | product(bigC(b,a,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),bigC(b,c,product(b,c))),product(bigC(b,a,b),bigC(b,c,product(b,c)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20200,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,c,product(b,c))),product(bigC(b,a,b),bigC(b,c,product(b,c)))) )],[refute_0_20198,refute_0_20199]) ).

cnf(refute_0_20201,plain,
    product(bigC(b,a,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20200]) ).

cnf(refute_0_20202,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | product(bigC(b,a,b),bigC(b,c,product(b,c))) != product(bigC(a,b,b),bigC(b,c,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(a,b,b),bigC(b,c,product(b,c)))) ),[0],$fot(product(bigC(b,a,b),bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_20203,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(b,c,product(b,c))),product(bigC(a,b,b),bigC(b,c,product(b,c)))) )],[refute_0_20201,refute_0_20202]) ).

cnf(refute_0_20204,plain,
    ( bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)) != product(bigC(b,a,b),bigC(b,c,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(b,a,b),bigC(b,c,product(b,c)))) )],[refute_0_20197,refute_0_20203]) ).

cnf(refute_0_20205,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,c,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,a,b),bigC(b,a,b),bigC(b,b,c)),product(bigC(b,a,b),bigC(b,c,product(b,c)))) )],[refute_0_20184,refute_0_20204]) ).

cnf(refute_0_20206,plain,
    product(bigC(a,b,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_20207,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(bigC(a,b,b),bigC(b,c,product(b,c))) != product(bigC(a,b,b),bigC(b,c,product(b,c)))
    | product(bigC(a,b,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),bigC(b,c,product(b,c))),product(bigC(a,b,b),bigC(b,c,product(b,c)))) ),[1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_20208,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(bigC(a,b,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(b,c,product(b,c))),product(bigC(a,b,b),bigC(b,c,product(b,c)))) )],[refute_0_20206,refute_0_20207]) ).

cnf(refute_0_20209,plain,
    product(bigC(a,b,b),bigC(b,c,product(b,c))) = product(bigC(a,b,b),bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_10045,refute_0_20208]) ).

cnf(refute_0_20210,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),bigC(b,c,product(b,c)))
    | product(bigC(a,b,b),bigC(b,c,product(b,c))) != product(bigC(a,b,b),bigC(b,b,product(c,a)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(a,b,b),bigC(b,b,product(c,a)))) ),[0],$fot(product(bigC(a,b,b),bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_20211,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),bigC(b,c,product(b,c)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(b,c,product(b,c))),product(bigC(a,b,b),bigC(b,b,product(c,a)))) )],[refute_0_20209,refute_0_20210]) ).

cnf(refute_0_20212,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = product(bigC(a,b,b),bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(a,b,b),bigC(b,c,product(b,c)))) )],[refute_0_20205,refute_0_20211]) ).

cnf(refute_0_20213,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(product(bigC(a,b,b),bigC(b,b,c)),bigC(a,b,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_20214,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != product(product(bigC(a,b,b),bigC(b,b,c)),bigC(a,b,b))
    | product(bigC(a,b,b),bigC(b,b,c)) != bigC(b,b,product(a,c))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),product(product(bigC(a,b,b),bigC(b,b,c)),bigC(a,b,b))) ),[1,0],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_20215,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != product(product(bigC(a,b,b),bigC(b,b,c)),bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(b,b,c)),bigC(b,b,product(a,c))) )],[refute_0_18666,refute_0_20214]) ).

cnf(refute_0_20216,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),product(product(bigC(a,b,b),bigC(b,b,c)),bigC(a,b,b))) )],[refute_0_20213,refute_0_20215]) ).

cnf(refute_0_20217,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),bigC(b,b,product(c,a)))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(bigC(a,b,b),bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)))),bind(Y,$fot(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)))),bind(Z,$fot(product(bigC(a,b,b),bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_20218,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),bigC(b,b,product(c,a)))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(bigC(a,b,b),bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_20173,refute_0_20217]) ).

cnf(refute_0_20219,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = product(bigC(a,b,b),bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(a,b,b),bigC(b,b,product(c,a)))) )],[refute_0_20212,refute_0_20218]) ).

cnf(refute_0_20220,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != product(bigC(a,b,b),bigC(b,b,product(c,a)))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(bigC(a,b,b),bigC(b,b,product(c,a))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),product(bigC(b,b,product(a,c)),bigC(a,b,b))) ),[0],$fot(product(bigC(a,b,b),bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_20221,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(bigC(a,b,b),bigC(b,b,product(c,a))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),product(bigC(a,b,b),bigC(b,b,product(c,a)))) )],[refute_0_20219,refute_0_20220]) ).

cnf(refute_0_20222,plain,
    quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_20223,plain,
    ( product(product(c,b),product(product(c,b),bigC(c,a,b))) != difference(product(bigC(c,a,c),b),product(c,b))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) != product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))),product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(difference(product(bigC(c,a,c),b),product(c,b)))]]) ).

cnf(refute_0_20224,plain,
    ( quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) != product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),bigC(c,a,b))),difference(product(bigC(c,a,c),b),product(c,b))) )],[refute_0_16830,refute_0_20223]) ).

cnf(refute_0_20225,plain,
    quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))),product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20222,refute_0_20224]) ).

cnf(refute_0_20226,plain,
    product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) = product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(product(c,b))),bind(X_65,$fot(product(product(c,b),bigC(c,a,b)))),bind(X_66,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_20227,plain,
    ( product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) != product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) != product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))))),bind(Y,$fot(product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))))]]) ).

cnf(refute_0_20228,plain,
    ( product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))) != product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))),product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20222,refute_0_20227]) ).

cnf(refute_0_20229,plain,
    quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) = product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(c,b),bigC(c,a,b))),product(product(c,b),bigC(c,a,b))),product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))) )],[refute_0_20226,refute_0_20228]) ).

cnf(refute_0_20230,plain,
    ( quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) != product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),[0],$fot(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))))]]) ).

cnf(refute_0_20231,plain,
    ( quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))),product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))) )],[refute_0_20229,refute_0_20230]) ).

cnf(refute_0_20232,plain,
    product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),product(c,b)))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20225,refute_0_20231]) ).

cnf(refute_0_20233,plain,
    product(product(c,b),product(bigC(c,b,c),c)) = bigC(c,b,bigC(c,b,c)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_20234,plain,
    product(bigC(c,b,c),bigC(c,a,b)) = product(bigC(c,b,c),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),bigC(c,a,b)))]]) ).

cnf(refute_0_20235,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,b,c),bigC(c,a,b)) != product(bigC(c,b,c),bigC(c,a,b))
    | product(bigC(c,b,c),bigC(c,a,b)) = product(bigC(c,b,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),bigC(c,a,b)),product(bigC(c,b,c),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_20236,plain,
    ( bigC(c,a,b) != c
    | product(bigC(c,b,c),bigC(c,a,b)) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(c,a,b)),product(bigC(c,b,c),bigC(c,a,b))) )],[refute_0_20234,refute_0_20235]) ).

cnf(refute_0_20237,plain,
    product(bigC(c,b,c),bigC(c,a,b)) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_20236]) ).

cnf(refute_0_20238,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))]]) ).

cnf(refute_0_20239,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) != product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,b,c),bigC(c,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) ),[1,0],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_20240,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,b,c),bigC(c,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) )],[refute_0_20238,refute_0_20239]) ).

cnf(refute_0_20241,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,b,c),bigC(c,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_20240]) ).

cnf(refute_0_20242,plain,
    ( product(bigC(c,b,c),bigC(c,a,b)) != product(bigC(c,b,c),c)
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,b,c),bigC(c,a,b))
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,b,c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))),bind(Y,$fot(product(bigC(c,b,c),bigC(c,a,b)))),bind(Z,$fot(product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_20243,plain,
    ( product(bigC(c,b,c),bigC(c,a,b)) != product(bigC(c,b,c),c)
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,b,c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)),product(bigC(c,b,c),bigC(c,a,b))) )],[refute_0_20241,refute_0_20242]) ).

cnf(refute_0_20244,plain,
    product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) = product(bigC(c,b,c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(c,a,b)),product(bigC(c,b,c),c)) )],[refute_0_20237,refute_0_20243]) ).

cnf(refute_0_20245,plain,
    product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))))]]) ).

cnf(refute_0_20246,plain,
    ( product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) != product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))
    | product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,b,c),c)
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(product(c,b),product(bigC(c,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))) ),[1,1],$fot(product(bigC(c,b,c),c))]]) ).

cnf(refute_0_20247,plain,
    ( product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)) != product(bigC(c,b,c),c)
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(product(c,b),product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)))) )],[refute_0_20245,refute_0_20246]) ).

cnf(refute_0_20248,plain,
    product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = product(product(c,b),product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b)),product(bigC(c,b,c),c)) )],[refute_0_20244,refute_0_20247]) ).

cnf(refute_0_20249,plain,
    ( product(product(c,b),product(bigC(c,b,c),c)) != bigC(c,b,bigC(c,b,c))
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) != product(product(c,b),product(bigC(c,b,c),c))
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = bigC(c,b,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))))),bind(Y,$fot(product(product(c,b),product(bigC(c,b,c),c)))),bind(Z,$fot(bigC(c,b,bigC(c,b,c))))]]) ).

cnf(refute_0_20250,plain,
    ( product(product(c,b),product(bigC(c,b,c),c)) != bigC(c,b,bigC(c,b,c))
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = bigC(c,b,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),product(product(c,b),product(bigC(c,b,c),c))) )],[refute_0_20248,refute_0_20249]) ).

cnf(refute_0_20251,plain,
    product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) = bigC(c,b,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(c,b,c),c)),bigC(c,b,bigC(c,b,c))) )],[refute_0_20233,refute_0_20250]) ).

cnf(refute_0_20252,plain,
    ( product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) != bigC(c,b,bigC(c,b,c))
    | product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | bigC(c,b,bigC(c,b,c)) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),[0],$fot(bigC(c,b,bigC(c,b,c)))]]) ).

cnf(refute_0_20253,plain,
    ( product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | bigC(c,b,bigC(c,b,c)) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),bigC(c,b,bigC(c,b,c))) )],[refute_0_20251,refute_0_20252]) ).

cnf(refute_0_20254,plain,
    product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_20255,plain,
    ( product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) != product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b)))
    | product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))),product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b)))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_20256,plain,
    ( product(product(c,b),bigC(c,a,b)) != bigC(c,b,c)
    | product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))),product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20254,refute_0_20255]) ).

cnf(refute_0_20257,plain,
    product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,a,b)),bigC(c,b,c)) )],[refute_0_1759,refute_0_20256]) ).

cnf(refute_0_20258,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_20259,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != bigC(c,b,product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) ),[1,0],$fot(bigC(c,b,product(c,b)))]]) ).

cnf(refute_0_20260,plain,
    ( difference(product(bigC(c,a,c),b),product(c,b)) != bigC(c,b,product(c,b))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20258,refute_0_20259]) ).

cnf(refute_0_20261,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(c,a,c),b),product(c,b)),bigC(c,b,product(c,b))) )],[refute_0_16854,refute_0_20260]) ).

cnf(refute_0_20262,plain,
    ( product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b)))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))),bind(Y,$fot(product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))))),bind(Z,$fot(product(bigC(c,b,product(c,b)),bigC(c,b,c))))]]) ).

cnf(refute_0_20263,plain,
    ( product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20261,refute_0_20262]) ).

cnf(refute_0_20264,plain,
    product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) = product(bigC(c,b,product(c,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),product(product(c,b),bigC(c,a,b))),product(bigC(c,b,product(c,b)),bigC(c,b,c))) )],[refute_0_20257,refute_0_20263]) ).

cnf(refute_0_20265,plain,
    ( bigC(c,b,bigC(c,b,c)) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | bigC(c,b,bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,bigC(c,b,c)),product(bigC(c,b,product(c,b)),bigC(c,b,c))) ),[0],$fot(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))))]]) ).

cnf(refute_0_20266,plain,
    ( bigC(c,b,bigC(c,b,c)) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | bigC(c,b,bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b))),product(bigC(c,b,product(c,b)),bigC(c,b,c))) )],[refute_0_20264,refute_0_20265]) ).

cnf(refute_0_20267,plain,
    ( product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))) != product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))
    | bigC(c,b,bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20253,refute_0_20266]) ).

cnf(refute_0_20268,plain,
    bigC(c,b,bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,b),bigC(c,a,b)),bigC(c,a,b))),product(difference(product(bigC(c,a,c),b),product(c,b)),product(product(c,b),bigC(c,a,b)))) )],[refute_0_20232,refute_0_20267]) ).

cnf(refute_0_20269,plain,
    bigC(c,b,bigC(c,b,c)) = bigC(c,b,bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(bigC(c,b,bigC(c,b,c)))]]) ).

cnf(refute_0_20270,plain,
    ( bigC(c,b,bigC(c,b,c)) != bigC(c,b,bigC(c,b,c))
    | bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,b,bigC(c,b,c)) = bigC(c,b,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),bigC(c,b,bigC(c,b,c))) ),[1,2],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_20271,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(c,b,bigC(c,b,c)) = bigC(c,b,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),bigC(c,b,bigC(c,b,c))) )],[refute_0_20269,refute_0_20270]) ).

cnf(refute_0_20272,plain,
    bigC(c,b,bigC(c,b,c)) = bigC(c,b,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_20271]) ).

cnf(refute_0_20273,plain,
    ( bigC(c,b,bigC(c,b,c)) != bigC(c,b,bigC(b,a,b))
    | bigC(c,b,bigC(c,b,c)) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),product(bigC(c,b,product(c,b)),bigC(c,b,c))) ),[0],$fot(bigC(c,b,bigC(b,a,b)))]]) ).

cnf(refute_0_20274,plain,
    ( bigC(c,b,bigC(c,b,c)) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),bigC(c,b,bigC(b,a,b))) )],[refute_0_20272,refute_0_20273]) ).

cnf(refute_0_20275,plain,
    product(bigC(c,b,product(c,b)),bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,product(c,b)),bigC(c,b,c)))]]) ).

cnf(refute_0_20276,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,product(c,b)),bigC(c,b,c)) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | product(bigC(c,b,product(c,b)),bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,product(c,b)),bigC(c,b,c)),product(bigC(c,b,product(c,b)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_20277,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,product(c,b)),bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),bigC(c,b,c)),product(bigC(c,b,product(c,b)),bigC(c,b,c))) )],[refute_0_20275,refute_0_20276]) ).

cnf(refute_0_20278,plain,
    product(bigC(c,b,product(c,b)),bigC(c,b,c)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_20277]) ).

cnf(refute_0_20279,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | product(bigC(c,b,product(c,b)),bigC(c,b,c)) != product(bigC(c,b,product(c,b)),bigC(b,a,b))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,bigC(b,a,b)),product(bigC(c,b,product(c,b)),bigC(b,a,b))) ),[0],$fot(product(bigC(c,b,product(c,b)),bigC(c,b,c)))]]) ).

cnf(refute_0_20280,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),bigC(c,b,c)),product(bigC(c,b,product(c,b)),bigC(b,a,b))) )],[refute_0_20278,refute_0_20279]) ).

cnf(refute_0_20281,plain,
    ( bigC(c,b,bigC(c,b,c)) != product(bigC(c,b,product(c,b)),bigC(c,b,c))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(bigC(c,b,product(c,b)),bigC(c,b,c))) )],[refute_0_20274,refute_0_20280]) ).

cnf(refute_0_20282,plain,
    bigC(c,b,bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),product(bigC(c,b,product(c,b)),bigC(c,b,c))) )],[refute_0_20268,refute_0_20281]) ).

cnf(refute_0_20283,plain,
    product(bigC(c,b,product(c,b)),bigC(b,a,b)) = product(bigC(c,b,product(c,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_20284,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | product(bigC(c,b,product(c,b)),bigC(b,a,b)) != product(bigC(c,b,product(c,b)),bigC(b,a,b))
    | product(bigC(c,b,product(c,b)),bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,product(c,b)),bigC(b,a,b)),product(bigC(c,b,product(c,b)),bigC(b,a,b))) ),[1,0],$fot(bigC(b,c,product(c,b)))]]) ).

cnf(refute_0_20285,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | product(bigC(c,b,product(c,b)),bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),bigC(b,a,b)),product(bigC(c,b,product(c,b)),bigC(b,a,b))) )],[refute_0_20283,refute_0_20284]) ).

cnf(refute_0_20286,plain,
    product(bigC(c,b,product(c,b)),bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_10443,refute_0_20285]) ).

cnf(refute_0_20287,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(c,b,product(c,b)),bigC(b,a,b))
    | product(bigC(c,b,product(c,b)),bigC(b,a,b)) != product(bigC(b,c,product(c,b)),bigC(b,a,b))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,bigC(b,a,b)),product(bigC(b,c,product(c,b)),bigC(b,a,b))) ),[0],$fot(product(bigC(c,b,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_20288,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(c,b,product(c,b)),bigC(b,a,b))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,product(c,b)),bigC(b,a,b)),product(bigC(b,c,product(c,b)),bigC(b,a,b))) )],[refute_0_20286,refute_0_20287]) ).

cnf(refute_0_20289,plain,
    bigC(c,b,bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(bigC(c,b,product(c,b)),bigC(b,a,b))) )],[refute_0_20282,refute_0_20288]) ).

cnf(refute_0_20290,plain,
    product(bigC(b,c,product(c,b)),bigC(b,a,b)) = product(bigC(b,c,product(c,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_20291,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | product(bigC(b,c,product(c,b)),bigC(b,a,b)) != product(bigC(b,c,product(c,b)),bigC(b,a,b))
    | product(bigC(b,c,product(c,b)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,c,product(c,b)),bigC(b,a,b)),product(bigC(b,c,product(c,b)),bigC(b,a,b))) ),[1,0],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_20292,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | product(bigC(b,c,product(c,b)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(c,b)),bigC(b,a,b)),product(bigC(b,c,product(c,b)),bigC(b,a,b))) )],[refute_0_20290,refute_0_20291]) ).

cnf(refute_0_20293,plain,
    product(bigC(b,c,product(c,b)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_16916,refute_0_20292]) ).

cnf(refute_0_20294,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(b,c,product(c,b)),bigC(b,a,b))
    | product(bigC(b,c,product(c,b)),bigC(b,a,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) ),[0],$fot(product(bigC(b,c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_20295,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(b,c,product(c,b)),bigC(b,a,b))
    | bigC(c,b,bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(c,b)),bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) )],[refute_0_20293,refute_0_20294]) ).

cnf(refute_0_20296,plain,
    bigC(c,b,bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(bigC(b,c,product(c,b)),bigC(b,a,b))) )],[refute_0_20289,refute_0_20295]) ).

cnf(refute_0_20297,plain,
    bigC(c,b,bigC(b,a,b)) = bigC(c,b,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(bigC(c,b,bigC(b,a,b)))]]) ).

cnf(refute_0_20298,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,b,bigC(b,a,b)) != bigC(c,b,bigC(b,a,b))
    | bigC(c,b,bigC(b,a,b)) = bigC(c,b,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),bigC(c,b,bigC(b,a,b))) ),[1,2],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20299,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,b,bigC(b,a,b)) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),bigC(c,b,bigC(b,a,b))) )],[refute_0_20297,refute_0_20298]) ).

cnf(refute_0_20300,plain,
    bigC(c,b,bigC(b,a,b)) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20299]) ).

cnf(refute_0_20301,plain,
    ( bigC(c,b,bigC(b,a,b)) != bigC(c,b,bigC(a,b,b))
    | bigC(c,b,bigC(b,a,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | bigC(c,b,bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) ),[0],$fot(bigC(c,b,bigC(a,b,b)))]]) ).

cnf(refute_0_20302,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | bigC(c,b,bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),bigC(c,b,bigC(a,b,b))) )],[refute_0_20300,refute_0_20301]) ).

cnf(refute_0_20303,plain,
    product(bigC(b,b,product(a,c)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,product(a,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_20304,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,b,product(a,c)),bigC(b,a,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | product(bigC(b,b,product(a,c)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,product(a,c)),bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20305,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,b,product(a,c)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) )],[refute_0_20303,refute_0_20304]) ).

cnf(refute_0_20306,plain,
    product(bigC(b,b,product(a,c)),bigC(b,a,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20305]) ).

cnf(refute_0_20307,plain,
    ( bigC(c,b,bigC(a,b,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | product(bigC(b,b,product(a,c)),bigC(b,a,b)) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | bigC(c,b,bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,bigC(a,b,b)),product(bigC(b,b,product(a,c)),bigC(a,b,b))) ),[0],$fot(product(bigC(b,b,product(a,c)),bigC(b,a,b)))]]) ).

cnf(refute_0_20308,plain,
    ( bigC(c,b,bigC(a,b,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | bigC(c,b,bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(a,b,b))) )],[refute_0_20306,refute_0_20307]) ).

cnf(refute_0_20309,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(bigC(b,b,product(a,c)),bigC(b,a,b))
    | bigC(c,b,bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(a,b,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) )],[refute_0_20302,refute_0_20308]) ).

cnf(refute_0_20310,plain,
    bigC(c,b,bigC(a,b,b)) = product(bigC(b,b,product(a,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(bigC(b,b,product(a,c)),bigC(b,a,b))) )],[refute_0_20296,refute_0_20309]) ).

cnf(refute_0_20311,plain,
    ( bigC(c,b,bigC(a,b,b)) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(bigC(b,b,product(a,c)),bigC(a,b,b)) = bigC(c,b,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,bigC(a,b,b)))),bind(Y,$fot(product(bigC(b,b,product(a,c)),bigC(a,b,b))))]]) ).

cnf(refute_0_20312,plain,
    product(bigC(b,b,product(a,c)),bigC(a,b,b)) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(a,b,b)),product(bigC(b,b,product(a,c)),bigC(a,b,b))) )],[refute_0_20310,refute_0_20311]) ).

cnf(refute_0_20313,plain,
    ( product(bigC(a,b,b),bigC(b,b,product(c,a))) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(bigC(b,b,product(a,c)),bigC(a,b,b)) != bigC(c,b,bigC(a,b,b))
    | product(bigC(a,b,b),bigC(b,b,product(c,a))) = bigC(c,b,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),bigC(b,b,product(c,a))),bigC(c,b,bigC(a,b,b))) ),[0],$fot(product(bigC(b,b,product(a,c)),bigC(a,b,b)))]]) ).

cnf(refute_0_20314,plain,
    ( product(bigC(a,b,b),bigC(b,b,product(c,a))) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(bigC(a,b,b),bigC(b,b,product(c,a))) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),bigC(a,b,b)),bigC(c,b,bigC(a,b,b))) )],[refute_0_20312,refute_0_20313]) ).

cnf(refute_0_20315,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(bigC(a,b,b),bigC(b,b,product(c,a))) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(b,b,product(c,a))),product(bigC(b,b,product(a,c)),bigC(a,b,b))) )],[refute_0_20221,refute_0_20314]) ).

cnf(refute_0_20316,plain,
    product(bigC(a,b,b),bigC(b,b,product(c,a))) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),product(bigC(b,b,product(a,c)),bigC(a,b,b))) )],[refute_0_20216,refute_0_20315]) ).

cnf(refute_0_20317,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),bigC(b,b,product(c,a)))
    | product(bigC(a,b,b),bigC(b,b,product(c,a))) != bigC(c,b,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = bigC(c,b,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),bigC(c,b,bigC(a,b,b))) ),[0],$fot(product(bigC(a,b,b),bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_20318,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != product(bigC(a,b,b),bigC(b,b,product(c,a)))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),bigC(b,b,product(c,a))),bigC(c,b,bigC(a,b,b))) )],[refute_0_20316,refute_0_20317]) ).

cnf(refute_0_20319,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),product(bigC(a,b,b),bigC(b,b,product(c,a)))) )],[refute_0_20212,refute_0_20318]) ).

cnf(refute_0_20320,plain,
    quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(product(c,bigC(b,b,c)))),bind(X_17,$fot(product(c,b)))]]) ).

cnf(refute_0_20321,plain,
    quotient(product(bigC(a,b,b),product(c,b)),product(c,b)) = bigC(a,b,b),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(product(c,b)))]]) ).

cnf(refute_0_20322,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | quotient(product(bigC(a,b,b),product(c,b)),product(c,b)) != bigC(a,b,b)
    | quotient(product(c,bigC(b,b,c)),product(c,b)) = bigC(a,b,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,b),product(c,b)),product(c,b)),bigC(a,b,b)) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_20323,plain,
    ( quotient(product(bigC(a,b,b),product(c,b)),product(c,b)) != bigC(a,b,b)
    | quotient(product(c,bigC(b,b,c)),product(c,b)) = bigC(a,b,b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_20322]) ).

cnf(refute_0_20324,plain,
    quotient(product(c,bigC(b,b,c)),product(c,b)) = bigC(a,b,b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),product(c,b)),product(c,b)),bigC(a,b,b)) )],[refute_0_20321,refute_0_20323]) ).

cnf(refute_0_20325,plain,
    ( quotient(product(c,bigC(b,b,c)),product(c,b)) != bigC(a,b,b)
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))) ),[1,0,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20326,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(c,b)),bigC(a,b,b)) )],[refute_0_20324,refute_0_20325]) ).

cnf(refute_0_20327,plain,
    quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20320,refute_0_20326]) ).

cnf(refute_0_20328,plain,
    ( quotient(product(c,bigC(b,b,c)),product(c,b)) != bigC(a,b,b)
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20329,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(c,b)),bigC(a,b,b)) )],[refute_0_20324,refute_0_20328]) ).

cnf(refute_0_20330,plain,
    quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20320,refute_0_20329]) ).

cnf(refute_0_20331,plain,
    bigC(bigC(b,b,c),bigC(b,b,c),c) = bigC(bigC(b,b,c),c,bigC(b,b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(b,b,c))),bind(B,$fot(c)),bind(C,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_20332,plain,
    product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),bigC(b,b,c),c),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(bigC(b,b,c))),bind(X_23,$fot(c))]]) ).

cnf(refute_0_20333,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),c) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | product(bigC(b,b,c),product(c,bigC(b,b,c))) != bigC(bigC(b,b,c),bigC(b,b,c),c)
    | product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,bigC(b,b,c))))),bind(Y,$fot(bigC(bigC(b,b,c),bigC(b,b,c),c))),bind(Z,$fot(bigC(bigC(b,b,c),c,bigC(b,b,c))))]]) ).

cnf(refute_0_20334,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),c) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(b,b,c))),bigC(bigC(b,b,c),bigC(b,b,c),c)) )],[refute_0_20332,refute_0_20333]) ).

cnf(refute_0_20335,plain,
    product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),c),bigC(bigC(b,b,c),c,bigC(b,b,c))) )],[refute_0_20331,refute_0_20334]) ).

cnf(refute_0_20336,plain,
    difference(product(c,b),product(product(c,b),bigC(b,b,c))) = bigC(b,b,c),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_20337,plain,
    quotient(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(product(product(c,b),b),product(c,b))) = product(product(c,b),bigC(b,b,c)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(bigC(b,b,c))),bind(X_23,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_20338,plain,
    bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = product(product(product(c,b),b),product(bigC(a,b,b),product(product(c,b),b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(c,b),b))),bind(X_23,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_20339,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != product(product(product(c,b),b),product(bigC(a,b,b),product(product(c,b),b)))
    | product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = product(product(product(c,b),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)),product(product(product(c,b),b),product(bigC(a,b,b),product(product(c,b),b)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_20340,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != product(product(product(c,b),b),product(bigC(a,b,b),product(product(c,b),b)))
    | bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = product(product(product(c,b),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(c,b),b)),product(c,b)) )],[refute_0_9479,refute_0_20339]) ).

cnf(refute_0_20341,plain,
    bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = product(product(product(c,b),b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)),product(product(product(c,b),b),product(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_20338,refute_0_20340]) ).

cnf(refute_0_20342,plain,
    bigC(product(c,b),product(product(c,b),b),bigC(b,b,c)) = bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(c,b))),bind(B,$fot(bigC(b,b,c))),bind(C,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_20343,plain,
    bigC(quotient(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b),X_23) = product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(c,b,b))),bind(X_22,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_20344,plain,
    ( bigC(quotient(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b),X_23) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | quotient(bigC(c,b,b),bigC(b,a,b)) != product(product(c,b),b)
    | bigC(product(product(c,b),b),bigC(b,a,b),X_23) = product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b),X_23),product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))) ),[0,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_20345,plain,
    ( bigC(quotient(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b),X_23) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | bigC(product(product(c,b),b),bigC(b,a,b),X_23) = product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_9402,refute_0_20344]) ).

cnf(refute_0_20346,plain,
    bigC(product(product(c,b),b),bigC(b,a,b),X_23) = product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),bigC(b,a,b),X_23),product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))) )],[refute_0_20343,refute_0_20345]) ).

cnf(refute_0_20347,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(C,product(product(c,b),b))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(c,b),b))),bind(B,$fot(product(bigC(c,a,b),product(b,c))))]]) ).

cnf(refute_0_20348,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(C,product(product(c,b),b)))
    | product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))) != difference(product(product(a,b),b),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(C,product(product(c,b),b)))) ),[1,0],$fot(difference(product(product(a,b),b),product(product(c,b),b)))]]) ).

cnf(refute_0_20349,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(C,product(product(c,b),b)))
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),difference(product(product(a,b),b),product(product(c,b),b))) )],[refute_0_9358,refute_0_20348]) ).

cnf(refute_0_20350,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),product(product(product(product(c,b),b),product(bigC(c,a,b),product(b,c))),product(C,product(product(c,b),b)))) )],[refute_0_20347,refute_0_20349]) ).

cnf(refute_0_20351,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C))]]) ).

cnf(refute_0_20352,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C)
    | product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = bigC(product(product(c,b),b),bigC(c,b,c),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C)) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_20353,plain,
    ( product(bigC(c,a,b),product(b,c)) != bigC(c,b,c)
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = bigC(product(product(c,b),b),bigC(c,b,c),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C)) )],[refute_0_20351,refute_0_20352]) ).

cnf(refute_0_20354,plain,
    bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) = bigC(product(product(c,b),b),bigC(c,b,c),C),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(b,c)),bigC(c,b,c)) )],[refute_0_9371,refute_0_20353]) ).

cnf(refute_0_20355,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != bigC(product(product(c,b),b),bigC(c,b,c),C)
    | bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))) ),[0],$fot(bigC(product(product(c,b),b),bigC(c,b,c),C))]]) ).

cnf(refute_0_20356,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),bigC(product(product(c,b),b),bigC(c,b,c),C)) )],[refute_0_20354,refute_0_20355]) ).

cnf(refute_0_20357,plain,
    bigC(product(c,b),C,product(b,product(c,b))) = bigC(product(c,b),C,product(b,product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),C,product(b,product(c,b))))]]) ).

cnf(refute_0_20358,plain,
    ( bigC(product(c,b),C,product(b,product(c,b))) != bigC(product(c,b),C,product(b,product(c,b)))
    | product(b,product(c,b)) != bigC(b,b,c)
    | bigC(product(c,b),C,product(b,product(c,b))) = bigC(product(c,b),C,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),C,product(b,product(c,b))),bigC(product(c,b),C,product(b,product(c,b)))) ),[1,2],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_20359,plain,
    ( product(b,product(c,b)) != bigC(b,b,c)
    | bigC(product(c,b),C,product(b,product(c,b))) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),C,product(b,product(c,b))),bigC(product(c,b),C,product(b,product(c,b)))) )],[refute_0_20357,refute_0_20358]) ).

cnf(refute_0_20360,plain,
    bigC(product(c,b),C,product(b,product(c,b))) = bigC(product(c,b),C,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(c,b)),bigC(b,b,c)) )],[refute_0_5615,refute_0_20359]) ).

cnf(refute_0_20361,plain,
    product(bigC(c,b,b),product(C,product(product(c,b),b))) = bigC(product(c,b),C,product(b,product(c,b))),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(C)),bind(X_63,$fot(b)),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(c)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_20362,plain,
    ( bigC(product(c,b),C,product(b,product(c,b))) != bigC(product(c,b),C,bigC(b,b,c))
    | product(bigC(c,b,b),product(C,product(product(c,b),b))) != bigC(product(c,b),C,product(b,product(c,b)))
    | product(bigC(c,b,b),product(C,product(product(c,b),b))) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,b),product(C,product(product(c,b),b))))),bind(Y,$fot(bigC(product(c,b),C,product(b,product(c,b))))),bind(Z,$fot(bigC(product(c,b),C,bigC(b,b,c))))]]) ).

cnf(refute_0_20363,plain,
    ( bigC(product(c,b),C,product(b,product(c,b))) != bigC(product(c,b),C,bigC(b,b,c))
    | product(bigC(c,b,b),product(C,product(product(c,b),b))) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(C,product(product(c,b),b))),bigC(product(c,b),C,product(b,product(c,b)))) )],[refute_0_20361,refute_0_20362]) ).

cnf(refute_0_20364,plain,
    product(bigC(c,b,b),product(C,product(product(c,b),b))) = bigC(product(c,b),C,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),C,product(b,product(c,b))),bigC(product(c,b),C,bigC(b,b,c))) )],[refute_0_20360,refute_0_20363]) ).

cnf(refute_0_20365,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))))]]) ).

cnf(refute_0_20366,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = product(bigC(c,b,b),product(C,product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))),product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))) ),[1,0],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_20367,plain,
    ( difference(product(product(a,b),b),product(product(c,b),b)) != bigC(c,b,b)
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = product(bigC(c,b,b),product(C,product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))),product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))) )],[refute_0_20365,refute_0_20366]) ).

cnf(refute_0_20368,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = product(bigC(c,b,b),product(C,product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),b),product(product(c,b),b)),bigC(c,b,b)) )],[refute_0_9385,refute_0_20367]) ).

cnf(refute_0_20369,plain,
    ( product(bigC(c,b,b),product(C,product(product(c,b),b))) != bigC(product(c,b),C,bigC(b,b,c))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) != product(bigC(c,b,b),product(C,product(product(c,b),b)))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))))),bind(Y,$fot(product(bigC(c,b,b),product(C,product(product(c,b),b))))),bind(Z,$fot(bigC(product(c,b),C,bigC(b,b,c))))]]) ).

cnf(refute_0_20370,plain,
    ( product(bigC(c,b,b),product(C,product(product(c,b),b))) != bigC(product(c,b),C,bigC(b,b,c))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))),product(bigC(c,b,b),product(C,product(product(c,b),b)))) )],[refute_0_20368,refute_0_20369]) ).

cnf(refute_0_20371,plain,
    product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) = bigC(product(c,b),C,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(C,product(product(c,b),b))),bigC(product(c,b),C,bigC(b,b,c))) )],[refute_0_20364,refute_0_20370]) ).

cnf(refute_0_20372,plain,
    ( bigC(product(product(c,b),b),bigC(c,b,c),C) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))
    | product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))) != bigC(product(c,b),C,bigC(b,b,c))
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(c,b),C,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),bigC(product(c,b),C,bigC(b,b,c))) ),[0],$fot(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))))]]) ).

cnf(refute_0_20373,plain,
    ( bigC(product(product(c,b),b),bigC(c,b,c),C) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b))),bigC(product(c,b),C,bigC(b,b,c))) )],[refute_0_20371,refute_0_20372]) ).

cnf(refute_0_20374,plain,
    ( bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C) != product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))) )],[refute_0_20356,refute_0_20373]) ).

cnf(refute_0_20375,plain,
    bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(c,b),C,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(bigC(c,a,b),product(b,c)),C),product(difference(product(product(a,b),b),product(product(c,b),b)),product(C,product(product(c,b),b)))) )],[refute_0_20350,refute_0_20374]) ).

cnf(refute_0_20376,plain,
    bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(product(c,b),b),bigC(c,b,c),C),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),b),bigC(c,b,c),C))]]) ).

cnf(refute_0_20377,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(product(product(c,b),b),bigC(c,b,c),C) != bigC(product(product(c,b),b),bigC(c,b,c),C)
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(product(c,b),b),bigC(b,a,b),C) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),bigC(product(product(c,b),b),bigC(c,b,c),C)) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_20378,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(product(c,b),b),bigC(b,a,b),C) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),bigC(product(product(c,b),b),bigC(c,b,c),C)) )],[refute_0_20376,refute_0_20377]) ).

cnf(refute_0_20379,plain,
    bigC(product(product(c,b),b),bigC(c,b,c),C) = bigC(product(product(c,b),b),bigC(b,a,b),C),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_20378]) ).

cnf(refute_0_20380,plain,
    ( bigC(product(product(c,b),b),bigC(c,b,c),C) != bigC(product(c,b),C,bigC(b,b,c))
    | bigC(product(product(c,b),b),bigC(c,b,c),C) != bigC(product(product(c,b),b),bigC(b,a,b),C)
    | bigC(product(product(c,b),b),bigC(b,a,b),C) = bigC(product(c,b),C,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),bigC(product(c,b),C,bigC(b,b,c))) ),[0],$fot(bigC(product(product(c,b),b),bigC(b,a,b),C))]]) ).

cnf(refute_0_20381,plain,
    ( bigC(product(product(c,b),b),bigC(c,b,c),C) != bigC(product(c,b),C,bigC(b,b,c))
    | bigC(product(product(c,b),b),bigC(b,a,b),C) = bigC(product(c,b),C,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),bigC(product(product(c,b),b),bigC(b,a,b),C)) )],[refute_0_20379,refute_0_20380]) ).

cnf(refute_0_20382,plain,
    bigC(product(product(c,b),b),bigC(b,a,b),C) = bigC(product(c,b),C,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),bigC(c,b,c),C),bigC(product(c,b),C,bigC(b,b,c))) )],[refute_0_20375,refute_0_20381]) ).

cnf(refute_0_20383,plain,
    bigC(product(product(c,b),b),bigC(b,a,b),X_23) = bigC(product(c,b),X_23,bigC(b,b,c)),
    inference(subst,[],[refute_0_20382:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_20384,plain,
    ( bigC(product(product(c,b),b),bigC(b,a,b),X_23) != bigC(product(c,b),X_23,bigC(b,b,c))
    | bigC(product(product(c,b),b),bigC(b,a,b),X_23) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),bigC(b,a,b),X_23),product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))) ),[0],$fot(bigC(product(c,b),X_23,bigC(b,b,c)))]]) ).

cnf(refute_0_20385,plain,
    ( bigC(product(product(c,b),b),bigC(b,a,b),X_23) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),bigC(b,a,b),X_23),bigC(product(c,b),X_23,bigC(b,b,c))) )],[refute_0_20383,refute_0_20384]) ).

cnf(refute_0_20386,plain,
    bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) = bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)))]]) ).

cnf(refute_0_20387,plain,
    ( bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) != bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b))
    | quotient(bigC(c,b,b),bigC(b,a,b)) != product(product(c,b),b)
    | bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)),bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b))) ),[1,0],$fot(product(product(c,b),b))]]) ).

cnf(refute_0_20388,plain,
    ( quotient(bigC(c,b,b),bigC(b,a,b)) != product(product(c,b),b)
    | bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)),bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b))) )],[refute_0_20386,refute_0_20387]) ).

cnf(refute_0_20389,plain,
    bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,b),bigC(b,a,b)),product(product(c,b),b)) )],[refute_0_9402,refute_0_20388]) ).

cnf(refute_0_20390,plain,
    product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) = bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(bigC(c,b,b))),bind(X_22,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_20391,plain,
    ( bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) != bigC(product(product(c,b),b),X_23,bigC(b,a,b))
    | product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) != bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b))
    | product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))))),bind(Y,$fot(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)))),bind(Z,$fot(bigC(product(product(c,b),b),X_23,bigC(b,a,b))))]]) ).

cnf(refute_0_20392,plain,
    ( bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)) != bigC(product(product(c,b),b),X_23,bigC(b,a,b))
    | product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))),bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b))) )],[refute_0_20390,refute_0_20391]) ).

cnf(refute_0_20393,plain,
    product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(c,b,b),bigC(b,a,b)),X_23,bigC(b,a,b)),bigC(product(product(c,b),b),X_23,bigC(b,a,b))) )],[refute_0_20389,refute_0_20392]) ).

cnf(refute_0_20394,plain,
    ( bigC(product(c,b),X_23,bigC(b,b,c)) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))) != bigC(product(product(c,b),b),X_23,bigC(b,a,b))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_23,bigC(b,b,c)),bigC(product(product(c,b),b),X_23,bigC(b,a,b))) ),[0],$fot(product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))))]]) ).

cnf(refute_0_20395,plain,
    ( bigC(product(c,b),X_23,bigC(b,b,c)) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b)))),bigC(product(product(c,b),b),X_23,bigC(b,a,b))) )],[refute_0_20393,refute_0_20394]) ).

cnf(refute_0_20396,plain,
    ( bigC(product(product(c,b),b),bigC(b,a,b),X_23) != product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_23,bigC(b,b,c)),product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))) )],[refute_0_20385,refute_0_20395]) ).

cnf(refute_0_20397,plain,
    bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),bigC(b,a,b),X_23),product(bigC(c,b,b),product(X_23,quotient(bigC(c,b,b),bigC(b,a,b))))) )],[refute_0_20346,refute_0_20396]) ).

cnf(refute_0_20398,plain,
    bigC(product(product(c,b),b),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(bigC(product(product(c,b),b),X_23,bigC(b,a,b)))]]) ).

cnf(refute_0_20399,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(product(product(c,b),b),X_23,bigC(b,a,b)) != bigC(product(product(c,b),b),X_23,bigC(b,a,b))
    | bigC(product(product(c,b),b),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),X_23,bigC(b,a,b)),bigC(product(product(c,b),b),X_23,bigC(b,a,b))) ),[1,2],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20400,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(product(product(c,b),b),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_23,bigC(b,a,b)),bigC(product(product(c,b),b),X_23,bigC(b,a,b))) )],[refute_0_20398,refute_0_20399]) ).

cnf(refute_0_20401,plain,
    bigC(product(product(c,b),b),X_23,bigC(b,a,b)) = bigC(product(product(c,b),b),X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20400]) ).

cnf(refute_0_20402,plain,
    ( bigC(product(c,b),X_23,bigC(b,b,c)) != bigC(product(product(c,b),b),X_23,bigC(b,a,b))
    | bigC(product(product(c,b),b),X_23,bigC(b,a,b)) != bigC(product(product(c,b),b),X_23,bigC(a,b,b))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),X_23,bigC(b,b,c)),bigC(product(product(c,b),b),X_23,bigC(a,b,b))) ),[0],$fot(bigC(product(product(c,b),b),X_23,bigC(b,a,b)))]]) ).

cnf(refute_0_20403,plain,
    ( bigC(product(c,b),X_23,bigC(b,b,c)) != bigC(product(product(c,b),b),X_23,bigC(b,a,b))
    | bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),X_23,bigC(b,a,b)),bigC(product(product(c,b),b),X_23,bigC(a,b,b))) )],[refute_0_20401,refute_0_20402]) ).

cnf(refute_0_20404,plain,
    bigC(product(c,b),X_23,bigC(b,b,c)) = bigC(product(product(c,b),b),X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_23,bigC(b,b,c)),bigC(product(product(c,b),b),X_23,bigC(b,a,b))) )],[refute_0_20397,refute_0_20403]) ).

cnf(refute_0_20405,plain,
    ( bigC(product(c,b),X_23,bigC(b,b,c)) != bigC(product(product(c,b),b),X_23,bigC(a,b,b))
    | bigC(product(product(c,b),b),X_23,bigC(a,b,b)) = bigC(product(c,b),X_23,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(c,b),X_23,bigC(b,b,c)))),bind(Y,$fot(bigC(product(product(c,b),b),X_23,bigC(a,b,b))))]]) ).

cnf(refute_0_20406,plain,
    bigC(product(product(c,b),b),X_23,bigC(a,b,b)) = bigC(product(c,b),X_23,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),X_23,bigC(b,b,c)),bigC(product(product(c,b),b),X_23,bigC(a,b,b))) )],[refute_0_20404,refute_0_20405]) ).

cnf(refute_0_20407,plain,
    bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = bigC(product(c,b),product(product(c,b),b),bigC(b,b,c)),
    inference(subst,[],[refute_0_20406:[bind(X_23,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_20408,plain,
    ( bigC(product(c,b),product(product(c,b),b),bigC(b,b,c)) != bigC(product(c,b),bigC(b,b,c),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != bigC(product(c,b),product(product(c,b),b),bigC(b,b,c))
    | bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)))),bind(Y,$fot(bigC(product(c,b),product(product(c,b),b),bigC(b,b,c)))),bind(Z,$fot(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b))))]]) ).

cnf(refute_0_20409,plain,
    ( bigC(product(c,b),product(product(c,b),b),bigC(b,b,c)) != bigC(product(c,b),bigC(b,b,c),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)),bigC(product(c,b),product(product(c,b),b),bigC(b,b,c))) )],[refute_0_20407,refute_0_20408]) ).

cnf(refute_0_20410,plain,
    bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) = bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(product(c,b),b),bigC(b,b,c)),bigC(product(c,b),bigC(b,b,c),product(product(c,b),b))) )],[refute_0_20342,refute_0_20409]) ).

cnf(refute_0_20411,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != bigC(product(c,b),bigC(b,b,c),product(product(c,b),b))
    | bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != product(product(product(c,b),b),product(c,b))
    | bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) = product(product(product(c,b),b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)),product(product(product(c,b),b),product(c,b))) ),[0],$fot(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)))]]) ).

cnf(refute_0_20412,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != product(product(product(c,b),b),product(c,b))
    | bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) = product(product(product(c,b),b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)),bigC(product(c,b),bigC(b,b,c),product(product(c,b),b))) )],[refute_0_20410,refute_0_20411]) ).

cnf(refute_0_20413,plain,
    product(product(product(c,b),b),product(c,b)) = product(bigC(c,b,c),product(b,b)),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(b)),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_20414,plain,
    ( product(bigC(c,b,c),product(b,b)) != product(bigC(a,b,b),b)
    | product(product(product(c,b),b),product(c,b)) != product(bigC(c,b,c),product(b,b))
    | product(product(product(c,b),b),product(c,b)) = product(bigC(a,b,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),b),product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(b,b)))),bind(Z,$fot(product(bigC(a,b,b),b)))]]) ).

cnf(refute_0_20415,plain,
    ( product(bigC(c,b,c),product(b,b)) != product(bigC(a,b,b),b)
    | product(product(product(c,b),b),product(c,b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(c,b)),product(bigC(c,b,c),product(b,b))) )],[refute_0_20413,refute_0_20414]) ).

cnf(refute_0_20416,plain,
    product(product(product(c,b),b),product(c,b)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(b,b)),product(bigC(a,b,b),b)) )],[refute_0_11628,refute_0_20415]) ).

cnf(refute_0_20417,plain,
    ( bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) != product(product(product(c,b),b),product(c,b))
    | product(product(product(c,b),b),product(c,b)) != product(bigC(a,b,b),b)
    | bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) = product(bigC(a,b,b),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(bigC(a,b,b),b)) ),[0],$fot(product(product(product(c,b),b),product(c,b)))]]) ).

cnf(refute_0_20418,plain,
    ( bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) != product(product(product(c,b),b),product(c,b))
    | bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(c,b)),product(bigC(a,b,b),b)) )],[refute_0_20416,refute_0_20417]) ).

cnf(refute_0_20419,plain,
    ( bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)) != product(product(product(c,b),b),product(c,b))
    | bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(product(product(c,b),b),product(c,b))) )],[refute_0_20412,refute_0_20418]) ).

cnf(refute_0_20420,plain,
    bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(bigC(product(product(c,b),b),product(product(c,b),b),bigC(a,b,b)),product(product(product(c,b),b),product(c,b))) )],[refute_0_20341,refute_0_20419]) ).

cnf(refute_0_20421,plain,
    ( bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)) != product(bigC(a,b,b),b)
    | quotient(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(product(product(c,b),b),product(c,b))) != product(product(c,b),bigC(b,b,c))
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = product(product(c,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(product(product(c,b),b),product(c,b))),product(product(c,b),bigC(b,b,c))) ),[0,0],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_20422,plain,
    ( quotient(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(product(product(c,b),b),product(c,b))) != product(product(c,b),bigC(b,b,c))
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = product(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(bigC(a,b,b),b)) )],[refute_0_20420,refute_0_20421]) ).

cnf(refute_0_20423,plain,
    quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = product(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(c,b),bigC(b,b,c),product(product(c,b),b)),product(product(product(c,b),b),product(c,b))),product(product(c,b),bigC(b,b,c))) )],[refute_0_20337,refute_0_20422]) ).

cnf(refute_0_20424,plain,
    quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)) = product(bigC(a,b,b),b),
    inference(subst,[],[refute_0_435:[bind(X_7,$fot(product(bigC(a,b,b),b)))]]) ).

cnf(refute_0_20425,plain,
    quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))))]]) ).

cnf(refute_0_20426,plain,
    ( product(product(product(c,b),b),product(c,b)) != product(bigC(a,b,b),b)
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) != quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b)))
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b)))) ),[1,1],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_20427,plain,
    ( product(product(product(c,b),b),product(c,b)) != product(bigC(a,b,b),b)
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b)))) )],[refute_0_20425,refute_0_20426]) ).

cnf(refute_0_20428,plain,
    quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(c,b)),product(bigC(a,b,b),b)) )],[refute_0_20416,refute_0_20427]) ).

cnf(refute_0_20429,plain,
    ( quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)) != product(bigC(a,b,b),b)
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) != quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b))
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = product(bigC(a,b,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))))),bind(Y,$fot(quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)))),bind(Z,$fot(product(bigC(a,b,b),b)))]]) ).

cnf(refute_0_20430,plain,
    ( quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)) != product(bigC(a,b,b),b)
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b))) )],[refute_0_20428,refute_0_20429]) ).

cnf(refute_0_20431,plain,
    quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(bigC(a,b,b),b)),product(bigC(a,b,b),b)) )],[refute_0_20424,refute_0_20430]) ).

cnf(refute_0_20432,plain,
    ( quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) != product(bigC(a,b,b),b)
    | quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) != product(product(c,b),bigC(b,b,c))
    | product(bigC(a,b,b),b) = product(product(c,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),product(product(c,b),bigC(b,b,c))) ),[0],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_20433,plain,
    ( quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))) != product(product(c,b),bigC(b,b,c))
    | product(bigC(a,b,b),b) = product(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),product(bigC(a,b,b),b)) )],[refute_0_20431,refute_0_20432]) ).

cnf(refute_0_20434,plain,
    product(bigC(a,b,b),b) = product(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),b),product(product(product(c,b),b),product(c,b))),product(product(c,b),bigC(b,b,c))) )],[refute_0_20423,refute_0_20433]) ).

cnf(refute_0_20435,plain,
    ( product(bigC(a,b,b),b) != product(product(c,b),bigC(b,b,c))
    | product(product(c,b),bigC(b,b,c)) = product(bigC(a,b,b),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,b),b))),bind(Y,$fot(product(product(c,b),bigC(b,b,c))))]]) ).

cnf(refute_0_20436,plain,
    product(product(c,b),bigC(b,b,c)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),b),product(product(c,b),bigC(b,b,c))) )],[refute_0_20434,refute_0_20435]) ).

cnf(refute_0_20437,plain,
    ( difference(product(c,b),product(product(c,b),bigC(b,b,c))) != bigC(b,b,c)
    | product(product(c,b),bigC(b,b,c)) != product(bigC(a,b,b),b)
    | difference(product(c,b),product(bigC(a,b,b),b)) = bigC(b,b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),bigC(b,b,c))),bigC(b,b,c)) ),[0,1],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_20438,plain,
    ( difference(product(c,b),product(product(c,b),bigC(b,b,c))) != bigC(b,b,c)
    | difference(product(c,b),product(bigC(a,b,b),b)) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(b,b,c)),product(bigC(a,b,b),b)) )],[refute_0_20436,refute_0_20437]) ).

cnf(refute_0_20439,plain,
    difference(product(c,b),product(bigC(a,b,b),b)) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),bigC(b,b,c))),bigC(b,b,c)) )],[refute_0_20336,refute_0_20438]) ).

cnf(refute_0_20440,plain,
    difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),quotient(bigC(b,a,b),product(c,b)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(bigC(b,a,b))),bind(X_20,$fot(product(c,b)))]]) ).

cnf(refute_0_20441,plain,
    ( difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(bigC(b,a,b),product(c,b))))
    | quotient(bigC(b,a,b),product(c,b)) != product(b,c)
    | difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(bigC(b,a,b),product(c,b))))) ),[1,1,1],$fot(product(b,c))]]) ).

cnf(refute_0_20442,plain,
    ( difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),quotient(bigC(b,a,b),product(c,b))))
    | difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(c,b)),product(b,c)) )],[refute_0_8287,refute_0_20441]) ).

cnf(refute_0_20443,plain,
    difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),quotient(bigC(b,a,b),product(c,b))))) )],[refute_0_20440,refute_0_20442]) ).

cnf(refute_0_20444,plain,
    bigC(b,product(a,b),c) = bigC(b,c,product(a,b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(a,b)))]]) ).

cnf(refute_0_20445,plain,
    product(bigC(b,a,b),product(c,b)) = bigC(b,product(a,b),c),
    inference(subst,[],[refute_0_10322:[bind(X_21,$fot(b)),bind(X_23,$fot(c)),bind(X_75,$fot(a))]]) ).

cnf(refute_0_20446,plain,
    ( bigC(b,product(a,b),c) != bigC(b,c,product(a,b))
    | product(bigC(b,a,b),product(c,b)) != bigC(b,product(a,b),c)
    | product(bigC(b,a,b),product(c,b)) = bigC(b,c,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),product(c,b)))),bind(Y,$fot(bigC(b,product(a,b),c))),bind(Z,$fot(bigC(b,c,product(a,b))))]]) ).

cnf(refute_0_20447,plain,
    ( bigC(b,product(a,b),c) != bigC(b,c,product(a,b))
    | product(bigC(b,a,b),product(c,b)) = bigC(b,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,b)),bigC(b,product(a,b),c)) )],[refute_0_20445,refute_0_20446]) ).

cnf(refute_0_20448,plain,
    product(bigC(b,a,b),product(c,b)) = bigC(b,c,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),c),bigC(b,c,product(a,b))) )],[refute_0_20444,refute_0_20447]) ).

cnf(refute_0_20449,plain,
    difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = difference(product(bigC(b,a,b),product(c,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(product(bigC(b,a,b),product(c,b)),product(c,b)))]]) ).

cnf(refute_0_20450,plain,
    ( difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != difference(product(bigC(b,a,b),product(c,b)),product(c,b))
    | product(bigC(b,a,b),product(c,b)) != bigC(b,c,product(a,b))
    | difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = difference(bigC(b,c,product(a,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),difference(product(bigC(b,a,b),product(c,b)),product(c,b))) ),[1,0],$fot(bigC(b,c,product(a,b)))]]) ).

cnf(refute_0_20451,plain,
    ( product(bigC(b,a,b),product(c,b)) != bigC(b,c,product(a,b))
    | difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = difference(bigC(b,c,product(a,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),difference(product(bigC(b,a,b),product(c,b)),product(c,b))) )],[refute_0_20449,refute_0_20450]) ).

cnf(refute_0_20452,plain,
    difference(product(bigC(b,a,b),product(c,b)),product(c,b)) = difference(bigC(b,c,product(a,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,b)),bigC(b,c,product(a,b))) )],[refute_0_20448,refute_0_20451]) ).

cnf(refute_0_20453,plain,
    ( difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != difference(bigC(b,c,product(a,b)),product(c,b))
    | difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,c)))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(b,c)))) ),[0],$fot(difference(bigC(b,c,product(a,b)),product(c,b)))]]) ).

cnf(refute_0_20454,plain,
    ( difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,c)))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = product(product(c,b),product(product(c,b),product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),difference(bigC(b,c,product(a,b)),product(c,b))) )],[refute_0_20452,refute_0_20453]) ).

cnf(refute_0_20455,plain,
    product(product(c,b),product(product(c,b),product(b,c))) = product(product(c,b),product(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(c,b),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_20456,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(c,b),product(product(c,b),product(b,c))) != product(product(c,b),product(product(c,b),product(b,c)))
    | product(product(c,b),product(product(c,b),product(b,c))) = product(product(c,b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,c))),product(product(c,b),product(product(c,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_20457,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(c,b),product(product(c,b),product(b,c))) = product(product(c,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,c))),product(product(c,b),product(product(c,b),product(b,c)))) )],[refute_0_20455,refute_0_20456]) ).

cnf(refute_0_20458,plain,
    product(product(c,b),product(product(c,b),product(b,c))) = product(product(c,b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_20457]) ).

cnf(refute_0_20459,plain,
    ( difference(bigC(b,c,product(a,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,c)))
    | product(product(c,b),product(product(c,b),product(b,c))) != product(product(c,b),bigC(c,b,b))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = product(product(c,b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(bigC(b,c,product(a,b)),product(c,b)),product(product(c,b),bigC(c,b,b))) ),[0],$fot(product(product(c,b),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_20460,plain,
    ( difference(bigC(b,c,product(a,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,c)))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = product(product(c,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),product(b,c))),product(product(c,b),bigC(c,b,b))) )],[refute_0_20458,refute_0_20459]) ).

cnf(refute_0_20461,plain,
    ( difference(product(bigC(b,a,b),product(c,b)),product(c,b)) != product(product(c,b),product(product(c,b),product(b,c)))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = product(product(c,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(a,b)),product(c,b)),product(product(c,b),product(product(c,b),product(b,c)))) )],[refute_0_20454,refute_0_20460]) ).

cnf(refute_0_20462,plain,
    difference(bigC(b,c,product(a,b)),product(c,b)) = product(product(c,b),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),product(c,b)),product(c,b)),product(product(c,b),product(product(c,b),product(b,c)))) )],[refute_0_20443,refute_0_20461]) ).

cnf(refute_0_20463,plain,
    difference(product(c,bigC(c,b,b)),product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))) = bigC(b,c,product(a,b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,bigC(c,b,b)))),bind(B,$fot(bigC(b,c,product(a,b))))]]) ).

cnf(refute_0_20464,plain,
    product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(c)),bind(B,$fot(bigC(c,b,b))),bind(C,$fot(bigC(c,b,c))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_20465,plain,
    product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))))]]) ).

cnf(refute_0_20466,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))) ),[1,0],$fot(product(c,bigC(c,b,c)))]]) ).

cnf(refute_0_20467,plain,
    ( bigC(c,c,product(c,b)) != product(c,bigC(c,b,c))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b)))) )],[refute_0_20465,refute_0_20466]) ).

cnf(refute_0_20468,plain,
    product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,b)),product(c,bigC(c,b,c))) )],[refute_0_1645,refute_0_20467]) ).

cnf(refute_0_20469,plain,
    ( product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b)))
    | product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))) != product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))))),bind(Y,$fot(product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))))),bind(Z,$fot(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))))]]) ).

cnf(refute_0_20470,plain,
    ( product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))) != product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b)))) )],[refute_0_20468,refute_0_20469]) ).

cnf(refute_0_20471,plain,
    product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) = product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,c)),product(bigC(c,b,b),product(c,b))),product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))) )],[refute_0_20464,refute_0_20470]) ).

cnf(refute_0_20472,plain,
    ( product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))
    | product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) ),[0],$fot(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))))]]) ).

cnf(refute_0_20473,plain,
    ( product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))) )],[refute_0_20471,refute_0_20472]) ).

cnf(refute_0_20474,plain,
    product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(c,b)),product(bigC(c,b,b),product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_10373,refute_0_20473]) ).

cnf(refute_0_20475,plain,
    product(bigC(c,b,c),product(c,b)) = product(bigC(c,b,c),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(c,b)))]]) ).

cnf(refute_0_20476,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(c,b)) != product(bigC(c,b,c),product(c,b))
    | product(bigC(c,b,c),product(c,b)) = product(bigC(b,a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(c,b)),product(bigC(c,b,c),product(c,b))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_20477,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(c,b)) = product(bigC(b,a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(c,b)),product(bigC(c,b,c),product(c,b))) )],[refute_0_20475,refute_0_20476]) ).

cnf(refute_0_20478,plain,
    product(bigC(c,b,c),product(c,b)) = product(bigC(b,a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_20477]) ).

cnf(refute_0_20479,plain,
    ( product(bigC(b,a,b),product(c,b)) != bigC(b,c,product(a,b))
    | product(bigC(c,b,c),product(c,b)) != product(bigC(b,a,b),product(c,b))
    | product(bigC(c,b,c),product(c,b)) = bigC(b,c,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(c,b)))),bind(Y,$fot(product(bigC(b,a,b),product(c,b)))),bind(Z,$fot(bigC(b,c,product(a,b))))]]) ).

cnf(refute_0_20480,plain,
    ( product(bigC(b,a,b),product(c,b)) != bigC(b,c,product(a,b))
    | product(bigC(c,b,c),product(c,b)) = bigC(b,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(c,b)),product(bigC(b,a,b),product(c,b))) )],[refute_0_20478,refute_0_20479]) ).

cnf(refute_0_20481,plain,
    product(bigC(c,b,c),product(c,b)) = bigC(b,c,product(a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(c,b)),bigC(b,c,product(a,b))) )],[refute_0_20448,refute_0_20480]) ).

cnf(refute_0_20482,plain,
    product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))))]]) ).

cnf(refute_0_20483,plain,
    ( product(bigC(c,b,c),product(c,b)) != bigC(b,c,product(a,b))
    | product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) != product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))
    | product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))) ),[1,1],$fot(bigC(b,c,product(a,b)))]]) ).

cnf(refute_0_20484,plain,
    ( product(bigC(c,b,c),product(c,b)) != bigC(b,c,product(a,b))
    | product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b)))) )],[refute_0_20482,refute_0_20483]) ).

cnf(refute_0_20485,plain,
    product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) = product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(c,b)),bigC(b,c,product(a,b))) )],[refute_0_20481,refute_0_20484]) ).

cnf(refute_0_20486,plain,
    ( product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) != product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))
    | product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),product(c,bigC(b,b,c))) ),[0],$fot(product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))))]]) ).

cnf(refute_0_20487,plain,
    ( product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))) != product(c,bigC(b,b,c))
    | product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))) )],[refute_0_20485,refute_0_20486]) ).

cnf(refute_0_20488,plain,
    product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,b)),product(bigC(c,b,c),product(c,b))),product(c,bigC(b,b,c))) )],[refute_0_20474,refute_0_20487]) ).

cnf(refute_0_20489,plain,
    ( difference(product(c,bigC(c,b,b)),product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))) != bigC(b,c,product(a,b))
    | product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))) != product(c,bigC(b,b,c))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = bigC(b,c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))),bigC(b,c,product(a,b))) ),[0,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_20490,plain,
    ( difference(product(c,bigC(c,b,b)),product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))) != bigC(b,c,product(a,b))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = bigC(b,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b))),product(c,bigC(b,b,c))) )],[refute_0_20488,refute_0_20489]) ).

cnf(refute_0_20491,plain,
    difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = bigC(b,c,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(product(c,bigC(c,b,b)),bigC(b,c,product(a,b)))),bigC(b,c,product(a,b))) )],[refute_0_20463,refute_0_20490]) ).

cnf(refute_0_20492,plain,
    difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))) = product(c,bigC(b,b,c)),
    inference(subst,[],[refute_0_1058:[bind(X_2,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_20493,plain,
    product(c,bigC(c,b,b)) = product(c,bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,b,b)))]]) ).

cnf(refute_0_20494,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(c,bigC(c,b,b)) != product(c,bigC(c,b,b))
    | product(c,bigC(c,b,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,b,b)),product(c,bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_20495,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(c,bigC(c,b,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,b)),product(c,bigC(c,b,b))) )],[refute_0_20493,refute_0_20494]) ).

cnf(refute_0_20496,plain,
    product(c,bigC(c,b,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_20495]) ).

cnf(refute_0_20497,plain,
    difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_20498,plain,
    ( difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) != difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c)))
    | product(c,bigC(c,b,b)) != product(c,bigC(b,b,c))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c)))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_20499,plain,
    ( product(c,bigC(c,b,b)) != product(c,bigC(b,b,c))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c)))) )],[refute_0_20497,refute_0_20498]) ).

cnf(refute_0_20500,plain,
    difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) )],[refute_0_20496,refute_0_20499]) ).

cnf(refute_0_20501,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))) != product(c,bigC(b,b,c))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) != difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c)))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))))),bind(Y,$fot(difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))))),bind(Z,$fot(product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_20502,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))) != product(c,bigC(b,b,c))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c)))) )],[refute_0_20500,refute_0_20501]) ).

cnf(refute_0_20503,plain,
    difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),product(c,bigC(b,b,c))),product(c,bigC(b,b,c))) )],[refute_0_20492,refute_0_20502]) ).

cnf(refute_0_20504,plain,
    ( difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) != bigC(b,c,product(a,b))
    | difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) != product(c,bigC(b,b,c))
    | product(c,bigC(b,b,c)) = bigC(b,c,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),bigC(b,c,product(a,b))) ),[0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_20505,plain,
    ( difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))) != bigC(b,c,product(a,b))
    | product(c,bigC(b,b,c)) = bigC(b,c,product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),product(c,bigC(b,b,c))) )],[refute_0_20503,refute_0_20504]) ).

cnf(refute_0_20506,plain,
    product(c,bigC(b,b,c)) = bigC(b,c,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(c,b,b)),product(c,bigC(b,b,c))),bigC(b,c,product(a,b))) )],[refute_0_20491,refute_0_20505]) ).

cnf(refute_0_20507,plain,
    ( product(c,bigC(b,b,c)) != bigC(b,c,product(a,b))
    | bigC(b,c,product(a,b)) = product(c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(b,b,c)))),bind(Y,$fot(bigC(b,c,product(a,b))))]]) ).

cnf(refute_0_20508,plain,
    bigC(b,c,product(a,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,b,c)),bigC(b,c,product(a,b))) )],[refute_0_20506,refute_0_20507]) ).

cnf(refute_0_20509,plain,
    difference(bigC(b,c,product(a,b)),product(c,b)) = difference(bigC(b,c,product(a,b)),product(c,b)),
    introduced(tautology,[refl,[$fot(difference(bigC(b,c,product(a,b)),product(c,b)))]]) ).

cnf(refute_0_20510,plain,
    ( bigC(b,c,product(a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,c,product(a,b)),product(c,b)) != difference(bigC(b,c,product(a,b)),product(c,b))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = difference(product(c,bigC(b,b,c)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,c,product(a,b)),product(c,b)),difference(bigC(b,c,product(a,b)),product(c,b))) ),[1,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_20511,plain,
    ( bigC(b,c,product(a,b)) != product(c,bigC(b,b,c))
    | difference(bigC(b,c,product(a,b)),product(c,b)) = difference(product(c,bigC(b,b,c)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(a,b)),product(c,b)),difference(bigC(b,c,product(a,b)),product(c,b))) )],[refute_0_20509,refute_0_20510]) ).

cnf(refute_0_20512,plain,
    difference(bigC(b,c,product(a,b)),product(c,b)) = difference(product(c,bigC(b,b,c)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(a,b)),product(c,bigC(b,b,c))) )],[refute_0_20508,refute_0_20511]) ).

cnf(refute_0_20513,plain,
    ( difference(bigC(b,c,product(a,b)),product(c,b)) != difference(product(c,bigC(b,b,c)),product(c,b))
    | difference(bigC(b,c,product(a,b)),product(c,b)) != product(product(c,b),bigC(c,b,b))
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(product(c,b),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(b,c,product(a,b)),product(c,b)),product(product(c,b),bigC(c,b,b))) ),[0],$fot(difference(product(c,bigC(b,b,c)),product(c,b)))]]) ).

cnf(refute_0_20514,plain,
    ( difference(bigC(b,c,product(a,b)),product(c,b)) != product(product(c,b),bigC(c,b,b))
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(product(c,b),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(a,b)),product(c,b)),difference(product(c,bigC(b,b,c)),product(c,b))) )],[refute_0_20512,refute_0_20513]) ).

cnf(refute_0_20515,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,b)) != product(product(c,b),bigC(c,b,b))
    | product(product(c,b),bigC(c,b,b)) != product(product(c,b),bigC(b,b,c))
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(product(c,b),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),bigC(b,b,c))) ),[0],$fot(product(product(c,b),bigC(c,b,b)))]]) ).

cnf(refute_0_20516,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,b)) != product(product(c,b),bigC(c,b,b))
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(c,b,b)),product(product(c,b),bigC(b,b,c))) )],[refute_0_9502,refute_0_20515]) ).

cnf(refute_0_20517,plain,
    ( difference(bigC(b,c,product(a,b)),product(c,b)) != product(product(c,b),bigC(c,b,b))
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(product(c,b),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),bigC(c,b,b))) )],[refute_0_20514,refute_0_20516]) ).

cnf(refute_0_20518,plain,
    difference(product(c,bigC(b,b,c)),product(c,b)) = product(product(c,b),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(difference(bigC(b,c,product(a,b)),product(c,b)),product(product(c,b),bigC(c,b,b))) )],[refute_0_20462,refute_0_20517]) ).

cnf(refute_0_20519,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,b)) != product(product(c,b),bigC(b,b,c))
    | product(product(c,b),bigC(b,b,c)) != product(bigC(a,b,b),b)
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(bigC(a,b,b),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(b,b,c)),product(c,b)),product(bigC(a,b,b),b)) ),[0],$fot(product(product(c,b),bigC(b,b,c)))]]) ).

cnf(refute_0_20520,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,b)) != product(product(c,b),bigC(b,b,c))
    | difference(product(c,bigC(b,b,c)),product(c,b)) = product(bigC(a,b,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(b,b,c)),product(bigC(a,b,b),b)) )],[refute_0_20436,refute_0_20519]) ).

cnf(refute_0_20521,plain,
    difference(product(c,bigC(b,b,c)),product(c,b)) = product(bigC(a,b,b),b),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),product(c,b)),product(product(c,b),bigC(b,b,c))) )],[refute_0_20518,refute_0_20520]) ).

cnf(refute_0_20522,plain,
    difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20523,plain,
    ( difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) != difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b)))
    | difference(product(c,bigC(b,b,c)),product(c,b)) != product(bigC(a,b,b),b)
    | difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = difference(product(c,b),product(bigC(a,b,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b)))) ),[1,1],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_20524,plain,
    ( difference(product(c,bigC(b,b,c)),product(c,b)) != product(bigC(a,b,b),b)
    | difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = difference(product(c,b),product(bigC(a,b,b),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20522,refute_0_20523]) ).

cnf(refute_0_20525,plain,
    difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = difference(product(c,b),product(bigC(a,b,b),b)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,c)),product(c,b)),product(bigC(a,b,b),b)) )],[refute_0_20521,refute_0_20524]) ).

cnf(refute_0_20526,plain,
    ( difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) != difference(product(c,b),product(bigC(a,b,b),b))
    | difference(product(c,b),product(bigC(a,b,b),b)) != bigC(b,b,c)
    | difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))))),bind(Y,$fot(difference(product(c,b),product(bigC(a,b,b),b)))),bind(Z,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_20527,plain,
    ( difference(product(c,b),product(bigC(a,b,b),b)) != bigC(b,b,c)
    | difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),difference(product(c,b),product(bigC(a,b,b),b))) )],[refute_0_20525,refute_0_20526]) ).

cnf(refute_0_20528,plain,
    difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,b,c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(bigC(a,b,b),b)),bigC(b,b,c)) )],[refute_0_20439,refute_0_20527]) ).

cnf(refute_0_20529,plain,
    product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_20530,plain,
    ( difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) != bigC(b,b,c)
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = product(bigC(b,b,c),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))) ),[1,0],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_20531,plain,
    ( difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))) != bigC(b,b,c)
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = product(bigC(b,b,c),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))) )],[refute_0_20529,refute_0_20530]) ).

cnf(refute_0_20532,plain,
    product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = product(bigC(b,b,c),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),bigC(b,b,c)) )],[refute_0_20528,refute_0_20531]) ).

cnf(refute_0_20533,plain,
    ( product(bigC(b,b,c),product(c,bigC(b,b,c))) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != product(bigC(b,b,c),product(c,bigC(b,b,c)))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))))),bind(Y,$fot(product(bigC(b,b,c),product(c,bigC(b,b,c))))),bind(Z,$fot(bigC(bigC(b,b,c),c,bigC(b,b,c))))]]) ).

cnf(refute_0_20534,plain,
    ( product(bigC(b,b,c),product(c,bigC(b,b,c))) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),product(bigC(b,b,c),product(c,bigC(b,b,c)))) )],[refute_0_20532,refute_0_20533]) ).

cnf(refute_0_20535,plain,
    product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = bigC(bigC(b,b,c),c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(b,b,c))),bigC(bigC(b,b,c),c,bigC(b,b,c))) )],[refute_0_20335,refute_0_20534]) ).

cnf(refute_0_20536,plain,
    quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(product(c,bigC(b,b,c)))),bind(X_21,$fot(product(c,b)))]]) ).

cnf(refute_0_20537,plain,
    ( product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = bigC(bigC(b,b,c),c,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))))),bind(Y,$fot(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))))),bind(Z,$fot(bigC(bigC(b,b,c),c,bigC(b,b,c))))]]) ).

cnf(refute_0_20538,plain,
    ( product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = bigC(bigC(b,b,c),c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))) )],[refute_0_20536,refute_0_20537]) ).

cnf(refute_0_20539,plain,
    quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = bigC(bigC(b,b,c),c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),bigC(bigC(b,b,c),c,bigC(b,b,c))) )],[refute_0_20535,refute_0_20538]) ).

cnf(refute_0_20540,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))
    | bigC(bigC(b,b,c),c,bigC(b,b,c)) = product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))) ),[0],$fot(bigC(bigC(b,b,c),c,bigC(b,b,c)))]]) ).

cnf(refute_0_20541,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))
    | bigC(bigC(b,b,c),c,bigC(b,b,c)) = product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),bigC(bigC(b,b,c),c,bigC(b,b,c))) )],[refute_0_20539,refute_0_20540]) ).

cnf(refute_0_20542,plain,
    bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))),
    introduced(tautology,[refl,[$fot(bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20543,plain,
    ( bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) != bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))
    | quotient(product(c,bigC(b,b,c)),product(c,b)) != bigC(a,b,b)
    | bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))) ),[1,2],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20544,plain,
    ( quotient(product(c,bigC(b,b,c)),product(c,b)) != bigC(a,b,b)
    | bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20542,refute_0_20543]) ).

cnf(refute_0_20545,plain,
    bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(c,b)),bigC(a,b,b)) )],[refute_0_20324,refute_0_20544]) ).

cnf(refute_0_20546,plain,
    bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c) = bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(quotient(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20547,plain,
    product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c),
    inference(subst,[],[refute_0_10219:[bind(X_22,$fot(quotient(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20548,plain,
    ( bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c) != bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) != bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c)
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)))),bind(Y,$fot(bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c))),bind(Z,$fot(bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))))]]) ).

cnf(refute_0_20549,plain,
    ( bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c) != bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)),bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c)) )],[refute_0_20547,refute_0_20548]) ).

cnf(refute_0_20550,plain,
    product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(product(c,bigC(b,b,c)),product(c,b)),c),bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20546,refute_0_20549]) ).

cnf(refute_0_20551,plain,
    ( bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) != bigC(b,c,bigC(a,b,b))
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) != bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)))),bind(Y,$fot(bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))))),bind(Z,$fot(bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_20552,plain,
    ( bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))) != bigC(b,c,bigC(a,b,b))
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)),bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20550,refute_0_20551]) ).

cnf(refute_0_20553,plain,
    product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(b,c,bigC(a,b,b))) )],[refute_0_20545,refute_0_20552]) ).

cnf(refute_0_20554,plain,
    ( bigC(bigC(b,b,c),c,bigC(b,b,c)) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))
    | product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | bigC(bigC(b,b,c),c,bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,b,c),c,bigC(b,b,c)),bigC(b,c,bigC(a,b,b))) ),[0],$fot(product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)))]]) ).

cnf(refute_0_20555,plain,
    ( bigC(bigC(b,b,c),c,bigC(b,b,c)) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))
    | bigC(bigC(b,b,c),c,bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20553,refute_0_20554]) ).

cnf(refute_0_20556,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))
    | bigC(bigC(b,b,c),c,bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),c,bigC(b,b,c)),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))) )],[refute_0_20541,refute_0_20555]) ).

cnf(refute_0_20557,plain,
    bigC(bigC(b,b,c),c,bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(a,b,b))) )],[refute_0_20330,refute_0_20556]) ).

cnf(refute_0_20558,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),c) != bigC(bigC(b,b,c),c,bigC(b,b,c))
    | bigC(bigC(b,b,c),c,bigC(b,b,c)) != bigC(b,c,bigC(a,b,b))
    | bigC(bigC(b,b,c),bigC(b,b,c),c) = bigC(b,c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(b,b,c),bigC(b,b,c),c))),bind(Y,$fot(bigC(bigC(b,b,c),c,bigC(b,b,c)))),bind(Z,$fot(bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_20559,plain,
    ( bigC(bigC(b,b,c),c,bigC(b,b,c)) != bigC(b,c,bigC(a,b,b))
    | bigC(bigC(b,b,c),bigC(b,b,c),c) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),c),bigC(bigC(b,b,c),c,bigC(b,b,c))) )],[refute_0_20331,refute_0_20558]) ).

cnf(refute_0_20560,plain,
    bigC(bigC(b,b,c),bigC(b,b,c),c) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),c,bigC(b,b,c)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20557,refute_0_20559]) ).

cnf(refute_0_20561,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),c) != bigC(b,c,bigC(a,b,b))
    | product(bigC(b,b,c),product(c,bigC(b,b,c))) != bigC(bigC(b,b,c),bigC(b,b,c),c)
    | product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(b,c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,bigC(b,b,c))))),bind(Y,$fot(bigC(bigC(b,b,c),bigC(b,b,c),c))),bind(Z,$fot(bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_20562,plain,
    ( bigC(bigC(b,b,c),bigC(b,b,c),c) != bigC(b,c,bigC(a,b,b))
    | product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(b,b,c))),bigC(bigC(b,b,c),bigC(b,b,c),c)) )],[refute_0_20332,refute_0_20561]) ).

cnf(refute_0_20563,plain,
    product(bigC(b,b,c),product(c,bigC(b,b,c))) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,c),bigC(b,b,c),c),bigC(b,c,bigC(a,b,b))) )],[refute_0_20560,refute_0_20562]) ).

cnf(refute_0_20564,plain,
    ( product(bigC(b,b,c),product(c,bigC(b,b,c))) != bigC(b,c,bigC(a,b,b))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != product(bigC(b,b,c),product(c,bigC(b,b,c)))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = bigC(b,c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))))),bind(Y,$fot(product(bigC(b,b,c),product(c,bigC(b,b,c))))),bind(Z,$fot(bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_20565,plain,
    ( product(bigC(b,b,c),product(c,bigC(b,b,c))) != bigC(b,c,bigC(a,b,b))
    | product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),product(bigC(b,b,c),product(c,bigC(b,b,c)))) )],[refute_0_20532,refute_0_20564]) ).

cnf(refute_0_20566,plain,
    product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(b,b,c))),bigC(b,c,bigC(a,b,b))) )],[refute_0_20563,refute_0_20565]) ).

cnf(refute_0_20567,plain,
    ( product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != bigC(b,c,bigC(a,b,b))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = bigC(b,c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))))),bind(Y,$fot(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))))),bind(Z,$fot(bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_20568,plain,
    ( product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))) != bigC(b,c,bigC(a,b,b))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c)))) )],[refute_0_20536,refute_0_20567]) ).

cnf(refute_0_20569,plain,
    quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),difference(product(c,bigC(b,b,c)),product(c,b))),product(c,bigC(b,b,c))),bigC(b,c,bigC(a,b,b))) )],[refute_0_20566,refute_0_20568]) ).

cnf(refute_0_20570,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != bigC(b,c,bigC(a,b,b))
    | quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | bigC(b,c,bigC(a,b,b)) = product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))) ),[0],$fot(bigC(b,c,bigC(a,b,b)))]]) ).

cnf(refute_0_20571,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | bigC(b,c,bigC(a,b,b)) = product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),bigC(b,c,bigC(a,b,b))) )],[refute_0_20569,refute_0_20570]) ).

cnf(refute_0_20572,plain,
    product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20573,plain,
    ( product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) != product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | quotient(product(c,bigC(b,b,c)),product(c,b)) != bigC(a,b,b)
    | product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b)))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20574,plain,
    ( quotient(product(c,bigC(b,b,c)),product(c,b)) != bigC(a,b,b)
    | product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20572,refute_0_20573]) ).

cnf(refute_0_20575,plain,
    product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(c,b)),bigC(a,b,b)) )],[refute_0_20324,refute_0_20574]) ).

cnf(refute_0_20576,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | bigC(c,b,product(c,b)) = bigC(b,b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) ),[1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_20577,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,c,product(c,b))
    | bigC(c,b,product(c,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_16916,refute_0_20576]) ).

cnf(refute_0_20578,plain,
    bigC(c,b,product(c,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,c,product(c,b))) )],[refute_0_10443,refute_0_20577]) ).

cnf(refute_0_20579,plain,
    product(product(c,b),bigC(a,b,b)) = bigC(c,b,product(c,b)),
    inference(subst,[],[refute_0_11244:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_20580,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,b,product(a,c))
    | product(product(c,b),bigC(a,b,b)) != bigC(c,b,product(c,b))
    | product(product(c,b),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),bigC(a,b,b)))),bind(Y,$fot(bigC(c,b,product(c,b)))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_20581,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,b,product(a,c))
    | product(product(c,b),bigC(a,b,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,b)),bigC(c,b,product(c,b))) )],[refute_0_20579,refute_0_20580]) ).

cnf(refute_0_20582,plain,
    product(product(c,b),bigC(a,b,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_20578,refute_0_20581]) ).

cnf(refute_0_20583,plain,
    product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20584,plain,
    ( product(product(c,b),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) != product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))) ),[1,0],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_20585,plain,
    ( product(product(c,b),bigC(a,b,b)) != bigC(b,b,product(a,c))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20583,refute_0_20584]) ).

cnf(refute_0_20586,plain,
    product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(a,b,b)),bigC(b,b,product(a,c))) )],[refute_0_20582,refute_0_20585]) ).

cnf(refute_0_20587,plain,
    ( product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) != product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))))),bind(Y,$fot(product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))))),bind(Z,$fot(product(bigC(b,b,product(a,c)),bigC(a,b,b))))]]) ).

cnf(refute_0_20588,plain,
    ( product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20586,refute_0_20587]) ).

cnf(refute_0_20589,plain,
    product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = product(bigC(b,b,product(a,c)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(bigC(b,b,product(a,c)),bigC(a,b,b))) )],[refute_0_20575,refute_0_20588]) ).

cnf(refute_0_20590,plain,
    ( product(bigC(b,b,product(a,c)),bigC(a,b,b)) != bigC(c,b,bigC(a,b,b))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) != product(bigC(b,b,product(a,c)),bigC(a,b,b))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(c,b,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))))),bind(Y,$fot(product(bigC(b,b,product(a,c)),bigC(a,b,b)))),bind(Z,$fot(bigC(c,b,bigC(a,b,b))))]]) ).

cnf(refute_0_20591,plain,
    ( product(bigC(b,b,product(a,c)),bigC(a,b,b)) != bigC(c,b,bigC(a,b,b))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),product(bigC(b,b,product(a,c)),bigC(a,b,b))) )],[refute_0_20589,refute_0_20590]) ).

cnf(refute_0_20592,plain,
    product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,product(a,c)),bigC(a,b,b)),bigC(c,b,bigC(a,b,b))) )],[refute_0_20312,refute_0_20591]) ).

cnf(refute_0_20593,plain,
    ( bigC(b,c,bigC(a,b,b)) != product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))) != bigC(c,b,bigC(a,b,b))
    | bigC(b,c,bigC(a,b,b)) = bigC(c,b,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,c,bigC(a,b,b)),bigC(c,b,bigC(a,b,b))) ),[0],$fot(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))))]]) ).

cnf(refute_0_20594,plain,
    ( bigC(b,c,bigC(a,b,b)) != product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | bigC(b,c,bigC(a,b,b)) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b))),bigC(c,b,bigC(a,b,b))) )],[refute_0_20592,refute_0_20593]) ).

cnf(refute_0_20595,plain,
    ( quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))) != product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))
    | bigC(b,c,bigC(a,b,b)) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,bigC(a,b,b)),product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20571,refute_0_20594]) ).

cnf(refute_0_20596,plain,
    bigC(b,c,bigC(a,b,b)) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(c,bigC(b,b,c)),product(c,b)),product(quotient(product(c,bigC(b,b,c)),product(c,b)),product(c,bigC(b,b,c)))),product(product(product(c,b),bigC(a,b,b)),quotient(product(c,bigC(b,b,c)),product(c,b)))) )],[refute_0_20327,refute_0_20595]) ).

cnf(refute_0_20597,plain,
    ( bigC(b,c,bigC(a,b,b)) != bigC(c,b,bigC(a,b,b))
    | bigC(c,b,bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,c,bigC(a,b,b)))),bind(Y,$fot(bigC(c,b,bigC(a,b,b))))]]) ).

cnf(refute_0_20598,plain,
    bigC(c,b,bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,c,bigC(a,b,b)),bigC(c,b,bigC(a,b,b))) )],[refute_0_20596,refute_0_20597]) ).

cnf(refute_0_20599,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != bigC(c,b,bigC(a,b,b))
    | bigC(c,b,bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),bigC(b,c,bigC(a,b,b))) ),[0],$fot(bigC(c,b,bigC(a,b,b)))]]) ).

cnf(refute_0_20600,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != bigC(c,b,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(a,b,b)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20598,refute_0_20599]) ).

cnf(refute_0_20601,plain,
    bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),bigC(c,b,bigC(a,b,b))) )],[refute_0_20319,refute_0_20600]) ).

cnf(refute_0_20602,plain,
    ( bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)) != bigC(b,c,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))) ),[1],$fot(bigC(b,c,bigC(a,b,b)))]]) ).

cnf(refute_0_20603,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20601,refute_0_20602]) ).

cnf(refute_0_20604,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(bigC(a,b,b),bigC(a,b,b),bigC(b,b,c))) )],[refute_0_20173,refute_0_20603]) ).

cnf(refute_0_20605,plain,
    bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c)) = bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(b,c))),bind(B,$fot(bigC(b,b,c))),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_20606,plain,
    bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(product(bigC(a,b,b),c),product(X_23,quotient(product(bigC(a,b,b),c),product(c,product(c,b))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(bigC(a,b,b),c))),bind(X_22,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_20607,plain,
    quotient(bigC(b,c,product(c,a)),product(product(c,a),b)) = product(b,c),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_23,$fot(product(c,a)))]]) ).

cnf(refute_0_20608,plain,
    quotient(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) = bigC(b,c,product(c,a)),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(b,c,product(c,a)))),bind(B,$fot(product(product(product(c,b),b),b)))]]) ).

cnf(refute_0_20609,plain,
    quotient(product(product(c,b),b),product(product(product(c,b),b),product(product(product(c,b),b),product(b,product(c,a))))) = product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(b,product(c,a)))),bind(X_16,$fot(product(product(c,b),b)))]]) ).

cnf(refute_0_20610,plain,
    difference(product(product(c,b),b),difference(product(bigC(a,b,b),product(product(c,b),b)),product(product(c,b),b))) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(product(product(c,b),b))),bind(X_27,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_20611,plain,
    ( difference(product(product(c,b),b),difference(product(bigC(a,b,b),product(product(c,b),b)),product(product(c,b),b))) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | product(bigC(a,b,b),product(product(c,b),b)) != product(c,b)
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),difference(product(bigC(a,b,b),product(product(c,b),b)),product(product(c,b),b))),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) ),[0,1,0],$fot(product(c,b))]]) ).

cnf(refute_0_20612,plain,
    ( difference(product(product(c,b),b),difference(product(bigC(a,b,b),product(product(c,b),b)),product(product(c,b),b))) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(product(c,b),b)),product(c,b)) )],[refute_0_9479,refute_0_20611]) ).

cnf(refute_0_20613,plain,
    difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),difference(product(bigC(a,b,b),product(product(c,b),b)),product(product(c,b),b))),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_20610,refute_0_20612]) ).

cnf(refute_0_20614,plain,
    difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))))]]) ).

cnf(refute_0_20615,plain,
    ( difference(product(c,b),product(product(c,b),b)) != b
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) != difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b)))
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b)))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_20616,plain,
    ( difference(product(c,b),product(product(c,b),b)) != b
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b)))) )],[refute_0_20614,refute_0_20615]) ).

cnf(refute_0_20617,plain,
    difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = difference(product(product(c,b),b),b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),b)),b) )],[refute_0_11501,refute_0_20616]) ).

cnf(refute_0_20618,plain,
    ( difference(product(product(c,b),b),b) != product(b,product(b,c))
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) != difference(product(product(c,b),b),b)
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))))),bind(Y,$fot(difference(product(product(c,b),b),b))),bind(Z,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_20619,plain,
    ( difference(product(product(c,b),b),b) != product(b,product(b,c))
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = product(b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),difference(product(product(c,b),b),b)) )],[refute_0_20617,refute_0_20618]) ).

cnf(refute_0_20620,plain,
    difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),b),product(b,product(b,c))) )],[refute_0_11667,refute_0_20619]) ).

cnf(refute_0_20621,plain,
    ( difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) != product(b,product(b,c))
    | difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | product(b,product(b,c)) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) ),[0],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_20622,plain,
    ( difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | product(b,product(b,c)) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),product(b,product(b,c))) )],[refute_0_20620,refute_0_20621]) ).

cnf(refute_0_20623,plain,
    quotient(bigC(b,product(c,a),product(c,b)),product(product(c,b),b)) = product(b,product(c,a)),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(b)),bind(X_22,$fot(product(c,a))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_20624,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | quotient(bigC(b,product(c,a),product(c,b)),product(product(c,b),b)) != product(b,product(c,a))
    | quotient(bigC(b,a,b),product(product(c,b),b)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(product(c,b),b)),product(b,product(c,a))) ),[0,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_20625,plain,
    ( quotient(bigC(b,product(c,a),product(c,b)),product(product(c,b),b)) != product(b,product(c,a))
    | quotient(bigC(b,a,b),product(product(c,b),b)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_20624]) ).

cnf(refute_0_20626,plain,
    quotient(bigC(b,a,b),product(product(c,b),b)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,product(c,a),product(c,b)),product(product(c,b),b)),product(b,product(c,a))) )],[refute_0_20623,refute_0_20625]) ).

cnf(refute_0_20627,plain,
    quotient(bigC(b,a,b),product(product(c,b),b)) = quotient(bigC(b,a,b),product(product(c,b),b)),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,a,b),product(product(c,b),b)))]]) ).

cnf(refute_0_20628,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),product(product(c,b),b)) != quotient(bigC(b,a,b),product(product(c,b),b))
    | quotient(bigC(b,a,b),product(product(c,b),b)) = quotient(bigC(a,b,b),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(product(c,b),b)),quotient(bigC(b,a,b),product(product(c,b),b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20629,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | quotient(bigC(b,a,b),product(product(c,b),b)) = quotient(bigC(a,b,b),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(product(c,b),b)),quotient(bigC(b,a,b),product(product(c,b),b))) )],[refute_0_20627,refute_0_20628]) ).

cnf(refute_0_20630,plain,
    quotient(bigC(b,a,b),product(product(c,b),b)) = quotient(bigC(a,b,b),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_20629]) ).

cnf(refute_0_20631,plain,
    ( quotient(bigC(b,a,b),product(product(c,b),b)) != product(b,product(c,a))
    | quotient(bigC(b,a,b),product(product(c,b),b)) != quotient(bigC(a,b,b),product(product(c,b),b))
    | quotient(bigC(a,b,b),product(product(c,b),b)) = product(b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,a,b),product(product(c,b),b)),product(b,product(c,a))) ),[0],$fot(quotient(bigC(a,b,b),product(product(c,b),b)))]]) ).

cnf(refute_0_20632,plain,
    ( quotient(bigC(b,a,b),product(product(c,b),b)) != product(b,product(c,a))
    | quotient(bigC(a,b,b),product(product(c,b),b)) = product(b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(product(c,b),b)),quotient(bigC(a,b,b),product(product(c,b),b))) )],[refute_0_20630,refute_0_20631]) ).

cnf(refute_0_20633,plain,
    quotient(bigC(a,b,b),product(product(c,b),b)) = product(b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,a,b),product(product(c,b),b)),product(b,product(c,a))) )],[refute_0_20626,refute_0_20632]) ).

cnf(refute_0_20634,plain,
    product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) = product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))))]]) ).

cnf(refute_0_20635,plain,
    ( product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | quotient(bigC(a,b,b),product(product(c,b),b)) != product(b,product(c,a))
    | product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) = product(product(product(c,b),b),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) ),[1,1],$fot(product(b,product(c,a)))]]) ).

cnf(refute_0_20636,plain,
    ( quotient(bigC(a,b,b),product(product(c,b),b)) != product(b,product(c,a))
    | product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) = product(product(product(c,b),b),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_20634,refute_0_20635]) ).

cnf(refute_0_20637,plain,
    product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) = product(product(product(c,b),b),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,b),product(product(c,b),b)),product(b,product(c,a))) )],[refute_0_20633,refute_0_20636]) ).

cnf(refute_0_20638,plain,
    ( product(b,product(b,c)) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))) != product(product(product(c,b),b),product(b,product(c,a)))
    | product(b,product(b,c)) = product(product(product(c,b),b),product(b,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(b,c)),product(product(product(c,b),b),product(b,product(c,a)))) ),[0],$fot(product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))))]]) ).

cnf(refute_0_20639,plain,
    ( product(b,product(b,c)) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | product(b,product(b,c)) = product(product(product(c,b),b),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b))),product(product(product(c,b),b),product(b,product(c,a)))) )],[refute_0_20637,refute_0_20638]) ).

cnf(refute_0_20640,plain,
    ( difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))) != product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))
    | product(b,product(b,c)) = product(product(product(c,b),b),product(b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(b,product(b,c)),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_20622,refute_0_20639]) ).

cnf(refute_0_20641,plain,
    product(b,product(b,c)) = product(product(product(c,b),b),product(b,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),b),difference(product(c,b),product(product(c,b),b))),product(product(product(c,b),b),quotient(bigC(a,b,b),product(product(c,b),b)))) )],[refute_0_20613,refute_0_20640]) ).

cnf(refute_0_20642,plain,
    ( product(b,product(b,c)) != product(product(product(c,b),b),product(b,product(c,a)))
    | product(product(product(c,b),b),product(b,product(c,a))) = product(b,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(b,c)))),bind(Y,$fot(product(product(product(c,b),b),product(b,product(c,a)))))]]) ).

cnf(refute_0_20643,plain,
    product(product(product(c,b),b),product(b,product(c,a))) = product(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,product(b,c)),product(product(product(c,b),b),product(b,product(c,a)))) )],[refute_0_20641,refute_0_20642]) ).

cnf(refute_0_20644,plain,
    ( product(product(product(c,b),b),product(b,product(c,a))) != product(b,product(b,c))
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(product(product(c,b),b),product(b,product(c,a))))) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(product(product(c,b),b),product(b,product(c,a))))),product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))) ),[0,1,1],$fot(product(b,product(b,c)))]]) ).

cnf(refute_0_20645,plain,
    ( quotient(product(product(c,b),b),product(product(product(c,b),b),product(product(product(c,b),b),product(b,product(c,a))))) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(b,product(c,a))),product(b,product(b,c))) )],[refute_0_20643,refute_0_20644]) ).

cnf(refute_0_20646,plain,
    quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(product(product(c,b),b),product(b,product(c,a))))),product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_20609,refute_0_20645]) ).

cnf(refute_0_20647,plain,
    quotient(product(product(c,b),b),b) = product(c,b),
    inference(subst,[],[sos03:[bind(A,$fot(product(c,b))),bind(B,$fot(b))]]) ).

cnf(refute_0_20648,plain,
    product(product(product(c,b),b),product(b,product(b,c))) = b,
    inference(subst,[],[sos07:[bind(A,$fot(c)),bind(B,$fot(b))]]) ).

cnf(refute_0_20649,plain,
    quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),
    introduced(tautology,[refl,[$fot(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))))]]) ).

cnf(refute_0_20650,plain,
    ( product(product(product(c,b),b),product(b,product(b,c))) != b
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) != quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c))))
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = quotient(product(product(c,b),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c))))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_20651,plain,
    ( product(product(product(c,b),b),product(b,product(b,c))) != b
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = quotient(product(product(c,b),b),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c))))) )],[refute_0_20649,refute_0_20650]) ).

cnf(refute_0_20652,plain,
    quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = quotient(product(product(c,b),b),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),b),product(b,product(b,c))),b) )],[refute_0_20648,refute_0_20651]) ).

cnf(refute_0_20653,plain,
    ( quotient(product(product(c,b),b),b) != product(c,b)
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) != quotient(product(product(c,b),b),b)
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = product(c,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))))),bind(Y,$fot(quotient(product(product(c,b),b),b))),bind(Z,$fot(product(c,b)))]]) ).

cnf(refute_0_20654,plain,
    ( quotient(product(product(c,b),b),b) != product(c,b)
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),quotient(product(product(c,b),b),b)) )],[refute_0_20652,refute_0_20653]) ).

cnf(refute_0_20655,plain,
    quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),b),b),product(c,b)) )],[refute_0_20647,refute_0_20654]) ).

cnf(refute_0_20656,plain,
    ( quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) != product(c,b)
    | quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | product(c,b) = product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))) ),[0],$fot(product(c,b))]]) ).

cnf(refute_0_20657,plain,
    ( quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | product(c,b) = product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),product(c,b)) )],[refute_0_20655,refute_0_20656]) ).

cnf(refute_0_20658,plain,
    bigC(b,product(c,a),c) = bigC(b,c,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_20659,plain,
    product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) = product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)),
    introduced(tautology,[refl,[$fot(product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)))]]) ).

cnf(refute_0_20660,plain,
    ( bigC(b,product(c,a),c) != bigC(b,c,product(c,a))
    | product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) != product(bigC(b,product(c,a),c),product(product(product(c,b),b),b))
    | product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)),product(bigC(b,product(c,a),c),product(product(product(c,b),b),b))) ),[1,0],$fot(bigC(b,c,product(c,a)))]]) ).

cnf(refute_0_20661,plain,
    ( bigC(b,product(c,a),c) != bigC(b,c,product(c,a))
    | product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)),product(bigC(b,product(c,a),c),product(product(product(c,b),b),b))) )],[refute_0_20659,refute_0_20660]) ).

cnf(refute_0_20662,plain,
    product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),c),bigC(b,c,product(c,a))) )],[refute_0_20658,refute_0_20661]) ).

cnf(refute_0_20663,plain,
    product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(b)),bind(B,$fot(product(c,a))),bind(C,$fot(c)),bind(X_65,$fot(product(product(c,b),b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_20664,plain,
    ( product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) != product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))
    | product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) != product(bigC(b,product(c,a),c),product(product(product(c,b),b),b))
    | product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)))),bind(Y,$fot(product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)))),bind(Z,$fot(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))))]]) ).

cnf(refute_0_20665,plain,
    ( product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)) != product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))
    | product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)),product(bigC(b,product(c,a),c),product(product(product(c,b),b),b))) )],[refute_0_20663,refute_0_20664]) ).

cnf(refute_0_20666,plain,
    product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),c),product(product(product(c,b),b),b)),product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))) )],[refute_0_20662,refute_0_20665]) ).

cnf(refute_0_20667,plain,
    ( product(c,b) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)) != product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))
    | product(c,b) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,b),product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))) ),[0],$fot(product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)))]]) ).

cnf(refute_0_20668,plain,
    ( product(c,b) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | product(c,b) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b)),product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))) )],[refute_0_20666,refute_0_20667]) ).

cnf(refute_0_20669,plain,
    ( quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))) != product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))
    | product(c,b) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) ),
    inference(resolve,[$cnf( $equal(product(c,b),product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_20657,refute_0_20668]) ).

cnf(refute_0_20670,plain,
    product(c,b) = product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,b),b),product(product(product(c,b),b),product(b,product(b,c)))),product(product(product(b,product(c,a)),product(product(c,b),b)),product(product(c,b),b))) )],[refute_0_20646,refute_0_20669]) ).

cnf(refute_0_20671,plain,
    ( product(c,b) != product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))
    | product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) = product(c,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,b))),bind(Y,$fot(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))))]]) ).

cnf(refute_0_20672,plain,
    product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) = product(c,b),
    inference(resolve,[$cnf( $equal(product(c,b),product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b))) )],[refute_0_20670,refute_0_20671]) ).

cnf(refute_0_20673,plain,
    ( product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)) != product(c,b)
    | quotient(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) != bigC(b,c,product(c,a))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(b,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)),bigC(b,c,product(c,a))) ),[0,0],$fot(product(c,b))]]) ).

cnf(refute_0_20674,plain,
    ( quotient(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)) != bigC(b,c,product(c,a))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(b,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),product(c,b)) )],[refute_0_20672,refute_0_20673]) ).

cnf(refute_0_20675,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(b,c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(b,c,product(c,a)),product(product(product(c,b),b),b)),product(product(product(c,b),b),b)),bigC(b,c,product(c,a))) )],[refute_0_20608,refute_0_20674]) ).

cnf(refute_0_20676,plain,
    ( bigC(product(c,a),b,c) != bigC(a,b,product(b,c))
    | quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(product(c,a),b,c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(a,b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(product(c,a),b,c)) ),[1],$fot(bigC(a,b,product(b,c)))]]) ).

cnf(refute_0_20677,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(product(c,a),b,c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(a,b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),b,c),bigC(a,b,product(b,c))) )],[refute_0_1579,refute_0_20676]) ).

cnf(refute_0_20678,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = bigC(a,b,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(product(c,a),b,c)) )],[refute_0_1518,refute_0_20677]) ).

cnf(refute_0_20679,plain,
    ( bigC(a,b,product(b,c)) != product(bigC(b,a,b),c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(a,b,product(b,c))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(bigC(b,a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(a,b,product(b,c))) ),[1],$fot(product(bigC(b,a,b),c))]]) ).

cnf(refute_0_20680,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(a,b,product(b,c))
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(bigC(b,a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(b,c)),product(bigC(b,a,b),c)) )],[refute_0_1889,refute_0_20679]) ).

cnf(refute_0_20681,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = product(bigC(b,a,b),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(a,b,product(b,c))) )],[refute_0_20678,refute_0_20680]) ).

cnf(refute_0_20682,plain,
    ( product(bigC(b,a,b),c) != product(bigC(a,b,b),c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) != product(bigC(b,a,b),c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(bigC(b,a,b),c)) ),[1],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_20683,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != product(bigC(b,a,b),c)
    | quotient(product(c,b),product(product(product(c,b),b),b)) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),product(bigC(a,b,b),c)) )],[refute_0_11129,refute_0_20682]) ).

cnf(refute_0_20684,plain,
    quotient(product(c,b),product(product(product(c,b),b),b)) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(bigC(b,a,b),c)) )],[refute_0_20681,refute_0_20683]) ).

cnf(refute_0_20685,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(b,c,product(c,a))
    | quotient(product(c,b),product(product(product(c,b),b),b)) != product(bigC(a,b,b),c)
    | product(bigC(a,b,b),c) = bigC(b,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(b,c,product(c,a))) ),[0],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_20686,plain,
    ( quotient(product(c,b),product(product(product(c,b),b),b)) != bigC(b,c,product(c,a))
    | product(bigC(a,b,b),c) = bigC(b,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),product(bigC(a,b,b),c)) )],[refute_0_20684,refute_0_20685]) ).

cnf(refute_0_20687,plain,
    product(bigC(a,b,b),c) = bigC(b,c,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),product(product(product(c,b),b),b)),bigC(b,c,product(c,a))) )],[refute_0_20675,refute_0_20686]) ).

cnf(refute_0_20688,plain,
    ( product(bigC(a,b,b),c) != bigC(b,c,product(c,a))
    | bigC(b,c,product(c,a)) = product(bigC(a,b,b),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,b),c))),bind(Y,$fot(bigC(b,c,product(c,a))))]]) ).

cnf(refute_0_20689,plain,
    bigC(b,c,product(c,a)) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),c),bigC(b,c,product(c,a))) )],[refute_0_20687,refute_0_20688]) ).

cnf(refute_0_20690,plain,
    ( bigC(b,c,product(c,a)) != product(bigC(a,b,b),c)
    | quotient(bigC(b,c,product(c,a)),product(product(c,a),b)) != product(b,c)
    | quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,c,product(c,a)),product(product(c,a),b)),product(b,c)) ),[0,0],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_20691,plain,
    ( quotient(bigC(b,c,product(c,a)),product(product(c,a),b)) != product(b,c)
    | quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = product(b,c) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,a)),product(bigC(a,b,b),c)) )],[refute_0_20689,refute_0_20690]) ).

cnf(refute_0_20692,plain,
    quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,product(c,a)),product(product(c,a),b)),product(b,c)) )],[refute_0_20607,refute_0_20691]) ).

cnf(refute_0_20693,plain,
    quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = quotient(product(bigC(a,b,b),c),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(a,b,b),c),product(product(c,a),b)))]]) ).

cnf(refute_0_20694,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(bigC(a,b,b),c),product(product(c,a),b)) != quotient(product(bigC(a,b,b),c),product(product(c,a),b))
    | quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = quotient(product(bigC(a,b,b),c),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(product(c,a),b)),quotient(product(bigC(a,b,b),c),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_20695,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = quotient(product(bigC(a,b,b),c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(product(c,a),b)),quotient(product(bigC(a,b,b),c),product(product(c,a),b))) )],[refute_0_20693,refute_0_20694]) ).

cnf(refute_0_20696,plain,
    quotient(product(bigC(a,b,b),c),product(product(c,a),b)) = quotient(product(bigC(a,b,b),c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_20695]) ).

cnf(refute_0_20697,plain,
    ( quotient(product(bigC(a,b,b),c),product(product(c,a),b)) != product(b,c)
    | quotient(product(bigC(a,b,b),c),product(product(c,a),b)) != quotient(product(bigC(a,b,b),c),product(c,product(c,b)))
    | quotient(product(bigC(a,b,b),c),product(c,product(c,b))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(product(c,a),b)),product(b,c)) ),[0],$fot(quotient(product(bigC(a,b,b),c),product(c,product(c,b))))]]) ).

cnf(refute_0_20698,plain,
    ( quotient(product(bigC(a,b,b),c),product(product(c,a),b)) != product(b,c)
    | quotient(product(bigC(a,b,b),c),product(c,product(c,b))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(product(c,a),b)),quotient(product(bigC(a,b,b),c),product(c,product(c,b)))) )],[refute_0_20696,refute_0_20697]) ).

cnf(refute_0_20699,plain,
    quotient(product(bigC(a,b,b),c),product(c,product(c,b))) = product(b,c),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(product(c,a),b)),product(b,c)) )],[refute_0_20692,refute_0_20698]) ).

cnf(refute_0_20700,plain,
    ( bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,quotient(product(bigC(a,b,b),c),product(c,product(c,b)))))
    | quotient(product(bigC(a,b,b),c),product(c,product(c,b))) != product(b,c)
    | bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(product(bigC(a,b,b),c),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),product(product(bigC(a,b,b),c),product(X_23,quotient(product(bigC(a,b,b),c),product(c,product(c,b)))))) ),[1,1,1],$fot(product(b,c))]]) ).

cnf(refute_0_20701,plain,
    ( bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,quotient(product(bigC(a,b,b),c),product(c,product(c,b)))))
    | bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(product(bigC(a,b,b),c),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(b,c)) )],[refute_0_20699,refute_0_20700]) ).

cnf(refute_0_20702,plain,
    bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(product(bigC(a,b,b),c),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),product(product(bigC(a,b,b),c),product(X_23,quotient(product(bigC(a,b,b),c),product(c,product(c,b)))))) )],[refute_0_20606,refute_0_20701]) ).

cnf(refute_0_20703,plain,
    bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23))]]) ).

cnf(refute_0_20704,plain,
    ( bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23)
    | quotient(product(bigC(a,b,b),c),product(c,product(c,b))) != product(b,c)
    | bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(product(b,c),product(c,product(c,b)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_20705,plain,
    ( quotient(product(bigC(a,b,b),c),product(c,product(c,b))) != product(b,c)
    | bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(product(b,c),product(c,product(c,b)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23)) )],[refute_0_20703,refute_0_20704]) ).

cnf(refute_0_20706,plain,
    bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(product(b,c),product(c,product(c,b)),X_23),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(b,c)) )],[refute_0_20699,refute_0_20705]) ).

cnf(refute_0_20707,plain,
    ( bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != bigC(product(b,c),product(c,product(c,b)),X_23)
    | bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,product(c,b)),X_23) = product(product(bigC(a,b,b),c),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),product(product(bigC(a,b,b),c),product(X_23,product(b,c)))) ),[0],$fot(bigC(product(b,c),product(c,product(c,b)),X_23))]]) ).

cnf(refute_0_20708,plain,
    ( bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,product(c,b)),X_23) = product(product(bigC(a,b,b),c),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),bigC(product(b,c),product(c,product(c,b)),X_23)) )],[refute_0_20706,refute_0_20707]) ).

cnf(refute_0_20709,plain,
    product(product(bigC(a,b,b),X_23),bigC(a,b,b)) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_20710,plain,
    product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = product(product(bigC(a,b,b),X_23),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,b),X_23),bigC(c,c,b)))]]) ).

cnf(refute_0_20711,plain,
    ( bigC(c,c,b) != bigC(a,b,b)
    | product(product(bigC(a,b,b),X_23),bigC(c,c,b)) != product(product(bigC(a,b,b),X_23),bigC(c,c,b))
    | product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = product(product(bigC(a,b,b),X_23),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),X_23),bigC(c,c,b)),product(product(bigC(a,b,b),X_23),bigC(c,c,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_20712,plain,
    ( bigC(c,c,b) != bigC(a,b,b)
    | product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = product(product(bigC(a,b,b),X_23),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_23),bigC(c,c,b)),product(product(bigC(a,b,b),X_23),bigC(c,c,b))) )],[refute_0_20710,refute_0_20711]) ).

cnf(refute_0_20713,plain,
    product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = product(product(bigC(a,b,b),X_23),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(a,b,b)) )],[refute_0_4263,refute_0_20712]) ).

cnf(refute_0_20714,plain,
    ( product(product(bigC(a,b,b),X_23),bigC(a,b,b)) != bigC(bigC(a,b,b),X_23,bigC(a,b,b))
    | product(product(bigC(a,b,b),X_23),bigC(c,c,b)) != product(product(bigC(a,b,b),X_23),bigC(a,b,b))
    | product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),X_23),bigC(c,c,b)))),bind(Y,$fot(product(product(bigC(a,b,b),X_23),bigC(a,b,b)))),bind(Z,$fot(bigC(bigC(a,b,b),X_23,bigC(a,b,b))))]]) ).

cnf(refute_0_20715,plain,
    ( product(product(bigC(a,b,b),X_23),bigC(a,b,b)) != bigC(bigC(a,b,b),X_23,bigC(a,b,b))
    | product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_23),bigC(c,c,b)),product(product(bigC(a,b,b),X_23),bigC(a,b,b))) )],[refute_0_20713,refute_0_20714]) ).

cnf(refute_0_20716,plain,
    product(product(bigC(a,b,b),X_23),bigC(c,c,b)) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_23),bigC(a,b,b)),bigC(bigC(a,b,b),X_23,bigC(a,b,b))) )],[refute_0_20709,refute_0_20715]) ).

cnf(refute_0_20717,plain,
    product(product(bigC(a,b,b),c),product(X_23,product(b,c))) = product(product(bigC(a,b,b),X_23),bigC(c,c,b)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(bigC(a,b,b))),bind(B,$fot(c)),bind(C,$fot(X_23)),bind(X_84,$fot(b))]]) ).

cnf(refute_0_20718,plain,
    ( product(product(bigC(a,b,b),X_23),bigC(c,c,b)) != bigC(bigC(a,b,b),X_23,bigC(a,b,b))
    | product(product(bigC(a,b,b),c),product(X_23,product(b,c))) != product(product(bigC(a,b,b),X_23),bigC(c,c,b))
    | product(product(bigC(a,b,b),c),product(X_23,product(b,c))) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,b,b),c),product(X_23,product(b,c))))),bind(Y,$fot(product(product(bigC(a,b,b),X_23),bigC(c,c,b)))),bind(Z,$fot(bigC(bigC(a,b,b),X_23,bigC(a,b,b))))]]) ).

cnf(refute_0_20719,plain,
    ( product(product(bigC(a,b,b),X_23),bigC(c,c,b)) != bigC(bigC(a,b,b),X_23,bigC(a,b,b))
    | product(product(bigC(a,b,b),c),product(X_23,product(b,c))) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),c),product(X_23,product(b,c))),product(product(bigC(a,b,b),X_23),bigC(c,c,b))) )],[refute_0_20717,refute_0_20718]) ).

cnf(refute_0_20720,plain,
    product(product(bigC(a,b,b),c),product(X_23,product(b,c))) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_23),bigC(c,c,b)),bigC(bigC(a,b,b),X_23,bigC(a,b,b))) )],[refute_0_20716,refute_0_20719]) ).

cnf(refute_0_20721,plain,
    ( bigC(product(b,c),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,product(b,c)))
    | product(product(bigC(a,b,b),c),product(X_23,product(b,c))) != bigC(bigC(a,b,b),X_23,bigC(a,b,b))
    | bigC(product(b,c),product(c,product(c,b)),X_23) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),product(c,product(c,b)),X_23),bigC(bigC(a,b,b),X_23,bigC(a,b,b))) ),[0],$fot(product(product(bigC(a,b,b),c),product(X_23,product(b,c))))]]) ).

cnf(refute_0_20722,plain,
    ( bigC(product(b,c),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,product(c,b)),X_23) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),c),product(X_23,product(b,c))),bigC(bigC(a,b,b),X_23,bigC(a,b,b))) )],[refute_0_20720,refute_0_20721]) ).

cnf(refute_0_20723,plain,
    ( bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(product(bigC(a,b,b),c),product(X_23,product(b,c)))
    | bigC(product(b,c),product(c,product(c,b)),X_23) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,product(c,b)),X_23),product(product(bigC(a,b,b),c),product(X_23,product(b,c)))) )],[refute_0_20708,refute_0_20722]) ).

cnf(refute_0_20724,plain,
    bigC(product(b,c),product(c,product(c,b)),X_23) = bigC(bigC(a,b,b),X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,b,b),c),product(c,product(c,b))),product(c,product(c,b)),X_23),product(product(bigC(a,b,b),c),product(X_23,product(b,c)))) )],[refute_0_20702,refute_0_20723]) ).

cnf(refute_0_20725,plain,
    ( bigC(product(b,c),product(c,product(c,b)),X_23) != bigC(bigC(a,b,b),X_23,bigC(a,b,b))
    | bigC(bigC(a,b,b),X_23,bigC(a,b,b)) = bigC(product(b,c),product(c,product(c,b)),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(b,c),product(c,product(c,b)),X_23))),bind(Y,$fot(bigC(bigC(a,b,b),X_23,bigC(a,b,b))))]]) ).

cnf(refute_0_20726,plain,
    bigC(bigC(a,b,b),X_23,bigC(a,b,b)) = bigC(product(b,c),product(c,product(c,b)),X_23),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,product(c,b)),X_23),bigC(bigC(a,b,b),X_23,bigC(a,b,b))) )],[refute_0_20724,refute_0_20725]) ).

cnf(refute_0_20727,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c)),
    inference(subst,[],[refute_0_20726:[bind(X_23,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_20728,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c))
    | bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c)) != bigC(product(b,c),bigC(b,b,c),product(c,product(c,b)))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)))),bind(Y,$fot(bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c)))),bind(Z,$fot(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b)))))]]) ).

cnf(refute_0_20729,plain,
    ( bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c)) != bigC(product(b,c),bigC(b,b,c),product(c,product(c,b)))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c))) )],[refute_0_20727,refute_0_20728]) ).

cnf(refute_0_20730,plain,
    bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) = bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(c,product(c,b)),bigC(b,b,c)),bigC(product(b,c),bigC(b,b,c),product(c,product(c,b)))) )],[refute_0_20605,refute_0_20729]) ).

cnf(refute_0_20731,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(product(b,c),bigC(b,b,c),product(c,product(c,b)))
    | bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))) = bigC(b,c,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(b,c,bigC(a,b,b))) ),[0],$fot(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))))]]) ).

cnf(refute_0_20732,plain,
    ( bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))) = bigC(b,c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(product(b,c),bigC(b,b,c),product(c,product(c,b)))) )],[refute_0_20730,refute_0_20731]) ).

cnf(refute_0_20733,plain,
    bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))) = bigC(b,c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),bigC(b,b,c),bigC(a,b,b)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20604,refute_0_20732]) ).

cnf(refute_0_20734,plain,
    ( bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))) != bigC(b,c,bigC(a,b,b))
    | quotient(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),product(product(c,product(c,b)),product(b,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = product(product(b,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),product(product(c,product(c,b)),product(b,c))),product(product(b,c),bigC(b,b,c))) ),[0,0],$fot(bigC(b,c,bigC(a,b,b)))]]) ).

cnf(refute_0_20735,plain,
    ( quotient(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),product(product(c,product(c,b)),product(b,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = product(product(b,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),bigC(b,c,bigC(a,b,b))) )],[refute_0_20733,refute_0_20734]) ).

cnf(refute_0_20736,plain,
    quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = product(product(b,c),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(b,c),bigC(b,b,c),product(c,product(c,b))),product(product(c,product(c,b)),product(b,c))),product(product(b,c),bigC(b,b,c))) )],[refute_0_20172,refute_0_20735]) ).

cnf(refute_0_20737,plain,
    product(product(c,b),product(product(c,b),c)) = bigC(c,b,product(c,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(c)),bind(B,$fot(b)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_20738,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,b,product(a,c))
    | product(product(c,b),product(product(c,b),c)) != bigC(c,b,product(c,b))
    | product(product(c,b),product(product(c,b),c)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(product(c,b),c)))),bind(Y,$fot(bigC(c,b,product(c,b)))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_20739,plain,
    ( bigC(c,b,product(c,b)) != bigC(b,b,product(a,c))
    | product(product(c,b),product(product(c,b),c)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),c)),bigC(c,b,product(c,b))) )],[refute_0_20737,refute_0_20738]) ).

cnf(refute_0_20740,plain,
    product(product(c,b),product(product(c,b),c)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_20578,refute_0_20739]) ).

cnf(refute_0_20741,plain,
    product(product(c,product(c,b)),product(b,c)) = product(product(c,b),product(product(c,b),c)),
    inference(subst,[],[refute_0_1455:[bind(B,$fot(b)),bind(D,$fot(c))]]) ).

cnf(refute_0_20742,plain,
    ( product(product(c,b),product(product(c,b),c)) != bigC(b,b,product(a,c))
    | product(product(c,product(c,b)),product(b,c)) != product(product(c,b),product(product(c,b),c))
    | product(product(c,product(c,b)),product(b,c)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(b,c)))),bind(Y,$fot(product(product(c,b),product(product(c,b),c)))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_20743,plain,
    ( product(product(c,b),product(product(c,b),c)) != bigC(b,b,product(a,c))
    | product(product(c,product(c,b)),product(b,c)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(b,c)),product(product(c,b),product(product(c,b),c))) )],[refute_0_20741,refute_0_20742]) ).

cnf(refute_0_20744,plain,
    product(product(c,product(c,b)),product(b,c)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(c,b),c)),bigC(b,b,product(a,c))) )],[refute_0_20740,refute_0_20743]) ).

cnf(refute_0_20745,plain,
    quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))),
    introduced(tautology,[refl,[$fot(quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))))]]) ).

cnf(refute_0_20746,plain,
    ( product(product(c,product(c,b)),product(b,c)) != bigC(b,b,product(a,c))
    | quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) != quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c)))
    | quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))),quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c)))) ),[1,1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_20747,plain,
    ( product(product(c,product(c,b)),product(b,c)) != bigC(b,b,product(a,c))
    | quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))),quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c)))) )],[refute_0_20745,refute_0_20746]) ).

cnf(refute_0_20748,plain,
    quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) = quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(b,c)),bigC(b,b,product(a,c))) )],[refute_0_20744,refute_0_20747]) ).

cnf(refute_0_20749,plain,
    ( quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) != quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c)))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) = product(product(b,c),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))),product(product(b,c),bigC(b,b,c))) ),[0],$fot(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_20750,plain,
    ( quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) = product(product(b,c),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))),quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c)))) )],[refute_0_20748,refute_0_20749]) ).

cnf(refute_0_20751,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(product(b,c),bigC(b,b,c)) != bigC(b,c,product(b,c))
    | product(product(b,c),bigC(b,b,c)) = bigC(b,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),bigC(b,b,c)))),bind(Y,$fot(bigC(b,c,product(b,c)))),bind(Z,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_20752,plain,
    ( bigC(b,c,product(b,c)) != bigC(b,b,product(c,a))
    | product(product(b,c),bigC(b,b,c)) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,b,c)),bigC(b,c,product(b,c))) )],[refute_0_9755,refute_0_20751]) ).

cnf(refute_0_20753,plain,
    product(product(b,c),bigC(b,b,c)) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(b,c)),bigC(b,b,product(c,a))) )],[refute_0_10045,refute_0_20752]) ).

cnf(refute_0_20754,plain,
    ( product(product(b,c),bigC(b,b,c)) != bigC(b,b,product(c,a))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) = bigC(b,b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),product(product(b,c),bigC(b,b,c))) ),[1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_20755,plain,
    ( quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),bigC(b,b,c)),bigC(b,b,product(c,a))) )],[refute_0_20753,refute_0_20754]) ).

cnf(refute_0_20756,plain,
    ( quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))) != product(product(b,c),bigC(b,b,c))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) = bigC(b,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),product(product(b,c),bigC(b,b,c))) )],[refute_0_20750,refute_0_20755]) ).

cnf(refute_0_20757,plain,
    quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) = bigC(b,b,product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),product(product(c,product(c,b)),product(b,c))),product(product(b,c),bigC(b,b,c))) )],[refute_0_20736,refute_0_20756]) ).

cnf(refute_0_20758,plain,
    ( bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) != product(bigC(b,c,bigC(a,b,b)),product(X_23,quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c)))))
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) != bigC(b,b,product(c,a))
    | bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),product(bigC(b,c,bigC(a,b,b)),product(X_23,quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c)))))) ),[1,1,1],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_20759,plain,
    ( bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) != product(bigC(b,c,bigC(a,b,b)),product(X_23,quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c)))))
    | bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(c,a))) )],[refute_0_20757,refute_0_20758]) ).

cnf(refute_0_20760,plain,
    bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),product(bigC(b,c,bigC(a,b,b)),product(X_23,quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c)))))) )],[refute_0_20171,refute_0_20759]) ).

cnf(refute_0_20761,plain,
    bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23))]]) ).

cnf(refute_0_20762,plain,
    ( bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) != bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23)
    | quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) != bigC(b,b,product(c,a))
    | bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23)) ),[1,0],$fot(bigC(b,b,product(c,a)))]]) ).

cnf(refute_0_20763,plain,
    ( quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))) != bigC(b,b,product(c,a))
    | bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23)) )],[refute_0_20761,refute_0_20762]) ).

cnf(refute_0_20764,plain,
    bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) = bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23),
    inference(resolve,[$cnf( $equal(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(c,a))) )],[refute_0_20757,refute_0_20763]) ).

cnf(refute_0_20765,plain,
    ( bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) != bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23)
    | bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) != product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))
    | bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))) ),[0],$fot(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23))]]) ).

cnf(refute_0_20766,plain,
    ( bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23) != product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))
    | bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23)) )],[refute_0_20764,refute_0_20765]) ).

cnf(refute_0_20767,plain,
    bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) = product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(b,c,bigC(a,b,b)),bigC(b,b,product(a,c))),bigC(b,b,product(a,c)),X_23),product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))) )],[refute_0_20760,refute_0_20766]) ).

cnf(refute_0_20768,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(b,product(a,c)))),bind(C,$fot(quotient(product(b,c),bigC(b,c,product(c,a)))))]]) ).

cnf(refute_0_20769,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(b,c),c),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(b,c),c))),bind(X_23,$fot(quotient(b,product(b,bigC(c,a,b)))))]]) ).

cnf(refute_0_20770,plain,
    quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = product(product(difference(product(b,c),product(product(c,a),b)),product(b,c)),product(b,c)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(product(c,a),b))),bind(X_18,$fot(product(b,c)))]]) ).

cnf(refute_0_20771,plain,
    difference(product(b,c),bigC(b,c,difference(b,bigC(c,a,b)))) = product(difference(b,bigC(c,a,b)),b),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_23,$fot(difference(b,bigC(c,a,b))))]]) ).

cnf(refute_0_20772,plain,
    bigC(b,difference(b,bigC(c,a,b)),c) = product(bigC(c,a,b),product(c,b)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(c,a,b))),bind(X_21,$fot(b)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_20773,plain,
    ( bigC(b,difference(b,bigC(c,a,b)),c) != product(bigC(c,a,b),product(c,b))
    | product(bigC(c,a,b),product(c,b)) != product(product(c,a),b)
    | bigC(b,difference(b,bigC(c,a,b)),c) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,difference(b,bigC(c,a,b)),c),product(product(c,a),b)) ),[0],$fot(product(bigC(c,a,b),product(c,b)))]]) ).

cnf(refute_0_20774,plain,
    ( bigC(b,difference(b,bigC(c,a,b)),c) != product(bigC(c,a,b),product(c,b))
    | bigC(b,difference(b,bigC(c,a,b)),c) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),product(c,b)),product(product(c,a),b)) )],[refute_0_994,refute_0_20773]) ).

cnf(refute_0_20775,plain,
    bigC(b,difference(b,bigC(c,a,b)),c) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,bigC(c,a,b)),c),product(bigC(c,a,b),product(c,b))) )],[refute_0_20772,refute_0_20774]) ).

cnf(refute_0_20776,plain,
    bigC(b,difference(b,bigC(c,a,b)),c) = bigC(b,c,difference(b,bigC(c,a,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(difference(b,bigC(c,a,b))))]]) ).

cnf(refute_0_20777,plain,
    ( bigC(b,difference(b,bigC(c,a,b)),c) != bigC(b,c,difference(b,bigC(c,a,b)))
    | bigC(b,difference(b,bigC(c,a,b)),c) != product(product(c,a),b)
    | bigC(b,c,difference(b,bigC(c,a,b))) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(b,bigC(c,a,b)),c),product(product(c,a),b)) ),[0],$fot(bigC(b,c,difference(b,bigC(c,a,b))))]]) ).

cnf(refute_0_20778,plain,
    ( bigC(b,difference(b,bigC(c,a,b)),c) != product(product(c,a),b)
    | bigC(b,c,difference(b,bigC(c,a,b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,bigC(c,a,b)),c),bigC(b,c,difference(b,bigC(c,a,b)))) )],[refute_0_20776,refute_0_20777]) ).

cnf(refute_0_20779,plain,
    bigC(b,c,difference(b,bigC(c,a,b))) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,bigC(c,a,b)),c),product(product(c,a),b)) )],[refute_0_20775,refute_0_20778]) ).

cnf(refute_0_20780,plain,
    ( bigC(b,c,difference(b,bigC(c,a,b))) != product(product(c,a),b)
    | difference(product(b,c),bigC(b,c,difference(b,bigC(c,a,b)))) != product(difference(b,bigC(c,a,b)),b)
    | difference(product(b,c),product(product(c,a),b)) = product(difference(b,bigC(c,a,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(b,c,difference(b,bigC(c,a,b)))),product(difference(b,bigC(c,a,b)),b)) ),[0,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_20781,plain,
    ( difference(product(b,c),bigC(b,c,difference(b,bigC(c,a,b)))) != product(difference(b,bigC(c,a,b)),b)
    | difference(product(b,c),product(product(c,a),b)) = product(difference(b,bigC(c,a,b)),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,difference(b,bigC(c,a,b))),product(product(c,a),b)) )],[refute_0_20779,refute_0_20780]) ).

cnf(refute_0_20782,plain,
    difference(product(b,c),product(product(c,a),b)) = product(difference(b,bigC(c,a,b)),b),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,c,difference(b,bigC(c,a,b)))),product(difference(b,bigC(c,a,b)),b)) )],[refute_0_20771,refute_0_20781]) ).

cnf(refute_0_20783,plain,
    ( difference(product(b,c),product(product(c,a),b)) != product(difference(b,bigC(c,a,b)),b)
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != product(product(difference(product(b,c),product(product(c,a),b)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),product(product(difference(product(b,c),product(product(c,a),b)),product(b,c)),product(b,c))) ),[1,0,0],$fot(product(difference(b,bigC(c,a,b)),b))]]) ).

cnf(refute_0_20784,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != product(product(difference(product(b,c),product(product(c,a),b)),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(product(c,a),b)),product(difference(b,bigC(c,a,b)),b)) )],[refute_0_20782,refute_0_20783]) ).

cnf(refute_0_20785,plain,
    quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),product(product(difference(product(b,c),product(product(c,a),b)),product(b,c)),product(b,c))) )],[refute_0_20770,refute_0_20784]) ).

cnf(refute_0_20786,plain,
    product(product(b,c),product(product(c,a),b)) = bigC(b,c,product(c,a)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(b)),bind(B,$fot(c)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_20787,plain,
    quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = quotient(product(b,c),product(product(b,c),product(product(c,a),b))),
    introduced(tautology,[refl,[$fot(quotient(product(b,c),product(product(b,c),product(product(c,a),b))))]]) ).

cnf(refute_0_20788,plain,
    ( product(product(b,c),product(product(c,a),b)) != bigC(b,c,product(c,a))
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != quotient(product(b,c),product(product(b,c),product(product(c,a),b)))
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = quotient(product(b,c),bigC(b,c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),quotient(product(b,c),product(product(b,c),product(product(c,a),b)))) ),[1,1],$fot(bigC(b,c,product(c,a)))]]) ).

cnf(refute_0_20789,plain,
    ( product(product(b,c),product(product(c,a),b)) != bigC(b,c,product(c,a))
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = quotient(product(b,c),bigC(b,c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),quotient(product(b,c),product(product(b,c),product(product(c,a),b)))) )],[refute_0_20787,refute_0_20788]) ).

cnf(refute_0_20790,plain,
    quotient(product(b,c),product(product(b,c),product(product(c,a),b))) = quotient(product(b,c),bigC(b,c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,a),b)),bigC(b,c,product(c,a))) )],[refute_0_20786,refute_0_20789]) ).

cnf(refute_0_20791,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))
    | quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != quotient(product(b,c),bigC(b,c,product(c,a)))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))) ),[0],$fot(quotient(product(b,c),bigC(b,c,product(c,a))))]]) ).

cnf(refute_0_20792,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),quotient(product(b,c),bigC(b,c,product(c,a)))) )],[refute_0_20790,refute_0_20791]) ).

cnf(refute_0_20793,plain,
    ( product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) != product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))
    | product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) = product(quotient(X_64,product(X_64,B)),product(X_65,X_66)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(quotient(X_64,product(X_64,B)),product(X_65,X_66)))),bind(Y,$fot(product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))))]]) ).

cnf(refute_0_20794,plain,
    product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66)) = product(quotient(X_64,product(X_64,B)),product(X_65,X_66)),
    inference(resolve,[$cnf( $equal(product(quotient(X_64,product(X_64,B)),product(X_65,X_66)),product(product(product(difference(X_64,B),X_64),X_65),product(X_64,X_66))) )],[refute_0_13387,refute_0_20793]) ).

cnf(refute_0_20795,plain,
    product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)) = product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),
    inference(subst,[],[refute_0_20794:[bind(B,$fot(bigC(c,a,b))),bind(X_64,$fot(b)),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_20796,plain,
    ( product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)) != product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) != product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))) ),[1],$fot(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)))]]) ).

cnf(refute_0_20797,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c)),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))) )],[refute_0_20795,refute_0_20796]) ).

cnf(refute_0_20798,plain,
    ( quotient(product(b,c),product(product(b,c),product(product(c,a),b))) != product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))) )],[refute_0_20792,refute_0_20797]) ).

cnf(refute_0_20799,plain,
    quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(product(b,c),product(product(c,a),b))),product(product(product(difference(b,bigC(c,a,b)),b),product(b,c)),product(b,c))) )],[refute_0_20785,refute_0_20798]) ).

cnf(refute_0_20800,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))
    | product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) = quotient(product(b,c),bigC(b,c,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(product(b,c),bigC(b,c,product(c,a))))),bind(Y,$fot(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))))]]) ).

cnf(refute_0_20801,plain,
    product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) = quotient(product(b,c),bigC(b,c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))) )],[refute_0_20799,refute_0_20800]) ).

cnf(refute_0_20802,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) != product(product(product(b,c),c),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)))
    | product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) != quotient(product(b,c),bigC(b,c,product(c,a)))
    | bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))),product(product(product(b,c),c),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)))) ),[1,1],$fot(quotient(product(b,c),bigC(b,c,product(c,a))))]]) ).

cnf(refute_0_20803,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) != product(product(product(b,c),c),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)))
    | bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),quotient(product(b,c),bigC(b,c,product(c,a)))) )],[refute_0_20801,refute_0_20802]) ).

cnf(refute_0_20804,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))),product(product(product(b,c),c),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)))) )],[refute_0_20769,refute_0_20803]) ).

cnf(refute_0_20805,plain,
    product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))))]]) ).

cnf(refute_0_20806,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) != product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c)))
    | product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))),product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c)))) ),[1,1],$fot(product(bigC(c,b,c),c))]]) ).

cnf(refute_0_20807,plain,
    ( bigC(c,c,product(b,c)) != product(bigC(c,b,c),c)
    | product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))),product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c)))) )],[refute_0_20805,refute_0_20806]) ).

cnf(refute_0_20808,plain,
    product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(b,c)),product(bigC(c,b,c),c)) )],[refute_0_4566,refute_0_20807]) ).

cnf(refute_0_20809,plain,
    product(product(b,c),quotient(b,product(b,bigC(c,a,b)))) = product(product(bigC(c,a,b),c),b),
    inference(subst,[],[refute_0_4241:[bind(A,$fot(b)),bind(B,$fot(c)),bind(X_29,$fot(bigC(c,a,b)))]]) ).

cnf(refute_0_20810,plain,
    product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))))]]) ).

cnf(refute_0_20811,plain,
    ( product(product(b,c),quotient(b,product(b,bigC(c,a,b)))) != product(product(bigC(c,a,b),c),b)
    | product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) != product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c)))
    | product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))),product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c)))) ),[1,0],$fot(product(product(bigC(c,a,b),c),b))]]) ).

cnf(refute_0_20812,plain,
    ( product(product(b,c),quotient(b,product(b,bigC(c,a,b)))) != product(product(bigC(c,a,b),c),b)
    | product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))),product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c)))) )],[refute_0_20810,refute_0_20811]) ).

cnf(refute_0_20813,plain,
    product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),product(product(bigC(c,a,b),c),b)) )],[refute_0_20809,refute_0_20812]) ).

cnf(refute_0_20814,plain,
    ( product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) != product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c)))
    | product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) != product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))
    | product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))))),bind(Y,$fot(product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))))),bind(Z,$fot(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))))]]) ).

cnf(refute_0_20815,plain,
    ( product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))) != product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))
    | product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))),product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c)))) )],[refute_0_20813,refute_0_20814]) ).

cnf(refute_0_20816,plain,
    product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),bigC(c,c,product(b,c))),product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))) )],[refute_0_20808,refute_0_20815]) ).

cnf(refute_0_20817,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))),
    inference(subst,[],[refute_0_334:[bind(A,$fot(product(b,c))),bind(B,$fot(quotient(b,product(b,bigC(c,a,b))))),bind(C,$fot(c))]]) ).

cnf(refute_0_20818,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) != product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c)))
    | product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) != product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))
    | bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))))),bind(Y,$fot(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))))),bind(Z,$fot(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))))]]) ).

cnf(refute_0_20819,plain,
    ( product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))) != product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))
    | bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))),product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c)))) )],[refute_0_20817,refute_0_20818]) ).

cnf(refute_0_20820,plain,
    bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),quotient(b,product(b,bigC(c,a,b)))),bigC(c,c,product(b,c))),product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))) )],[refute_0_20816,refute_0_20819]) ).

cnf(refute_0_20821,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) != product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) ),[0],$fot(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_20822,plain,
    ( bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))),product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))) )],[refute_0_20820,refute_0_20821]) ).

cnf(refute_0_20823,plain,
    product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(product(product(b,c),c),product(product(b,c),c),quotient(b,product(b,bigC(c,a,b)))),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20804,refute_0_20822]) ).

cnf(refute_0_20824,plain,
    product(product(bigC(c,a,b),c),b) = product(product(bigC(c,a,b),c),b),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),c),b))]]) ).

cnf(refute_0_20825,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(bigC(c,a,b),c),b) != product(product(bigC(c,a,b),c),b)
    | product(product(bigC(c,a,b),c),b) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),c),b),product(product(bigC(c,a,b),c),b)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_20826,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(bigC(c,a,b),c),b) = product(c,b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),c),b),product(product(bigC(c,a,b),c),b)) )],[refute_0_20824,refute_0_20825]) ).

cnf(refute_0_20827,plain,
    product(product(bigC(c,a,b),c),b) = product(c,b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),c) )],[refute_0_7192,refute_0_20826]) ).

cnf(refute_0_20828,plain,
    product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)))]]) ).

cnf(refute_0_20829,plain,
    ( product(product(bigC(c,a,b),c),b) != product(c,b)
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) != product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(c,b),product(bigC(c,b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_20830,plain,
    ( product(product(bigC(c,a,b),c),b) != product(c,b)
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(c,b),product(bigC(c,b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c))) )],[refute_0_20828,refute_0_20829]) ).

cnf(refute_0_20831,plain,
    product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = product(product(c,b),product(bigC(c,b,c),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),c),b),product(c,b)) )],[refute_0_20827,refute_0_20830]) ).

cnf(refute_0_20832,plain,
    ( product(product(c,b),product(bigC(c,b,c),c)) != bigC(c,b,bigC(c,b,c))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) != product(product(c,b),product(bigC(c,b,c),c))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = bigC(c,b,bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)))),bind(Y,$fot(product(product(c,b),product(bigC(c,b,c),c)))),bind(Z,$fot(bigC(c,b,bigC(c,b,c))))]]) ).

cnf(refute_0_20833,plain,
    ( product(product(c,b),product(bigC(c,b,c),c)) != bigC(c,b,bigC(c,b,c))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = bigC(c,b,bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),product(product(c,b),product(bigC(c,b,c),c))) )],[refute_0_20831,refute_0_20832]) ).

cnf(refute_0_20834,plain,
    product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) = bigC(c,b,bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(bigC(c,b,c),c)),bigC(c,b,bigC(c,b,c))) )],[refute_0_20233,refute_0_20833]) ).

cnf(refute_0_20835,plain,
    ( product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) != bigC(c,b,bigC(c,b,c))
    | product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(c,b,bigC(c,b,c)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) ),[0],$fot(bigC(c,b,bigC(c,b,c)))]]) ).

cnf(refute_0_20836,plain,
    ( product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(c,b,bigC(c,b,c)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),bigC(c,b,bigC(c,b,c))) )],[refute_0_20834,refute_0_20835]) ).

cnf(refute_0_20837,plain,
    bigC(c,b,bigC(c,b,c)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(c,a,b),c),b),product(bigC(c,b,c),c)),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20823,refute_0_20836]) ).

cnf(refute_0_20838,plain,
    ( bigC(c,b,bigC(c,b,c)) != bigC(c,b,bigC(b,a,b))
    | bigC(c,b,bigC(c,b,c)) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(c,b,bigC(b,a,b)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) ),[0],$fot(bigC(c,b,bigC(b,a,b)))]]) ).

cnf(refute_0_20839,plain,
    ( bigC(c,b,bigC(c,b,c)) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(c,b,bigC(b,a,b)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),bigC(c,b,bigC(b,a,b))) )],[refute_0_20272,refute_0_20838]) ).

cnf(refute_0_20840,plain,
    bigC(c,b,bigC(b,a,b)) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(c,b,c)),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20837,refute_0_20839]) ).

cnf(refute_0_20841,plain,
    product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) = product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))))]]) ).

cnf(refute_0_20842,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_20843,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20841,refute_0_20842]) ).

cnf(refute_0_20844,plain,
    product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) = product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_20843]) ).

cnf(refute_0_20845,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))) != product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(c,b,bigC(b,a,b)) = product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,bigC(b,a,b)),product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a))))) ),[0],$fot(product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))))]]) ).

cnf(refute_0_20846,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))
    | bigC(c,b,bigC(b,a,b)) = product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a)))),product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20844,refute_0_20845]) ).

cnf(refute_0_20847,plain,
    bigC(c,b,bigC(b,a,b)) = product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(product(product(b,c),c),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20840,refute_0_20846]) ).

cnf(refute_0_20848,plain,
    ( bigC(c,b,bigC(b,a,b)) != product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a))))
    | product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) = bigC(c,b,bigC(b,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,bigC(b,a,b)))),bind(Y,$fot(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a))))))]]) ).

cnf(refute_0_20849,plain,
    product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) = bigC(c,b,bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a))))) )],[refute_0_20847,refute_0_20848]) ).

cnf(refute_0_20850,plain,
    ( product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))) != bigC(c,b,bigC(b,a,b))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(bigC(c,b,bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),product(B,D))) ),[1,0],$fot(bigC(c,b,bigC(b,a,b)))]]) ).

cnf(refute_0_20851,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(bigC(c,b,bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),bigC(c,b,bigC(b,a,b))) )],[refute_0_20849,refute_0_20850]) ).

cnf(refute_0_20852,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(bigC(c,b,bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(product(product(b,product(a,c)),quotient(product(b,c),bigC(b,c,product(c,a)))),product(B,D))) )],[refute_0_20768,refute_0_20851]) ).

cnf(refute_0_20853,plain,
    product(bigC(c,b,bigC(b,a,b)),product(B,D)) = product(bigC(c,b,bigC(b,a,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_20854,plain,
    ( bigC(c,b,bigC(b,a,b)) != bigC(c,b,bigC(a,b,b))
    | product(bigC(c,b,bigC(b,a,b)),product(B,D)) != product(bigC(c,b,bigC(b,a,b)),product(B,D))
    | product(bigC(c,b,bigC(b,a,b)),product(B,D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,bigC(b,a,b)),product(B,D)),product(bigC(c,b,bigC(b,a,b)),product(B,D))) ),[1,0],$fot(bigC(c,b,bigC(a,b,b)))]]) ).

cnf(refute_0_20855,plain,
    ( bigC(c,b,bigC(b,a,b)) != bigC(c,b,bigC(a,b,b))
    | product(bigC(c,b,bigC(b,a,b)),product(B,D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,bigC(b,a,b)),product(B,D)),product(bigC(c,b,bigC(b,a,b)),product(B,D))) )],[refute_0_20853,refute_0_20854]) ).

cnf(refute_0_20856,plain,
    product(bigC(c,b,bigC(b,a,b)),product(B,D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(b,a,b)),bigC(c,b,bigC(a,b,b))) )],[refute_0_20300,refute_0_20855]) ).

cnf(refute_0_20857,plain,
    ( product(bigC(c,b,bigC(b,a,b)),product(B,D)) != product(bigC(c,b,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(bigC(c,b,bigC(b,a,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(bigC(c,b,bigC(b,a,b)),product(B,D))) ),[1],$fot(product(bigC(c,b,bigC(a,b,b)),product(B,D)))]]) ).

cnf(refute_0_20858,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(bigC(c,b,bigC(b,a,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,bigC(b,a,b)),product(B,D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) )],[refute_0_20856,refute_0_20857]) ).

cnf(refute_0_20859,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(bigC(c,b,bigC(b,a,b)),product(B,D))) )],[refute_0_20852,refute_0_20858]) ).

cnf(refute_0_20860,plain,
    quotient(product(b,c),bigC(b,c,product(c,a))) = quotient(product(b,c),bigC(b,c,product(c,a))),
    introduced(tautology,[refl,[$fot(quotient(product(b,c),bigC(b,c,product(c,a))))]]) ).

cnf(refute_0_20861,plain,
    ( bigC(b,c,product(c,a)) != product(bigC(a,b,b),c)
    | quotient(product(b,c),bigC(b,c,product(c,a))) != quotient(product(b,c),bigC(b,c,product(c,a)))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = quotient(product(b,c),product(bigC(a,b,b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),quotient(product(b,c),bigC(b,c,product(c,a)))) ),[1,1],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_20862,plain,
    ( bigC(b,c,product(c,a)) != product(bigC(a,b,b),c)
    | quotient(product(b,c),bigC(b,c,product(c,a))) = quotient(product(b,c),product(bigC(a,b,b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),quotient(product(b,c),bigC(b,c,product(c,a)))) )],[refute_0_20860,refute_0_20861]) ).

cnf(refute_0_20863,plain,
    quotient(product(b,c),bigC(b,c,product(c,a))) = quotient(product(b,c),product(bigC(a,b,b),c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,a)),product(bigC(a,b,b),c)) )],[refute_0_20689,refute_0_20862]) ).

cnf(refute_0_20864,plain,
    product(quotient(product(b,c),bigC(b,c,product(c,a))),D) = product(quotient(product(b,c),bigC(b,c,product(c,a))),D),
    introduced(tautology,[refl,[$fot(product(quotient(product(b,c),bigC(b,c,product(c,a))),D))]]) ).

cnf(refute_0_20865,plain,
    ( product(quotient(product(b,c),bigC(b,c,product(c,a))),D) != product(quotient(product(b,c),bigC(b,c,product(c,a))),D)
    | quotient(product(b,c),bigC(b,c,product(c,a))) != quotient(product(b,c),product(bigC(a,b,b),c))
    | product(quotient(product(b,c),bigC(b,c,product(c,a))),D) = product(quotient(product(b,c),product(bigC(a,b,b),c)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,c),bigC(b,c,product(c,a))),D),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) ),[1,0],$fot(quotient(product(b,c),product(bigC(a,b,b),c)))]]) ).

cnf(refute_0_20866,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != quotient(product(b,c),product(bigC(a,b,b),c))
    | product(quotient(product(b,c),bigC(b,c,product(c,a))),D) = product(quotient(product(b,c),product(bigC(a,b,b),c)),D) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,c),bigC(b,c,product(c,a))),D),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) )],[refute_0_20864,refute_0_20865]) ).

cnf(refute_0_20867,plain,
    product(quotient(product(b,c),bigC(b,c,product(c,a))),D) = product(quotient(product(b,c),product(bigC(a,b,b),c)),D),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),quotient(product(b,c),product(bigC(a,b,b),c))) )],[refute_0_20863,refute_0_20866]) ).

cnf(refute_0_20868,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),
    introduced(tautology,[refl,[$fot(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)))]]) ).

cnf(refute_0_20869,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D))
    | product(quotient(product(b,c),bigC(b,c,product(c,a))),D) != product(quotient(product(b,c),product(bigC(a,b,b),c)),D)
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D))) ),[1,1],$fot(product(quotient(product(b,c),product(bigC(a,b,b),c)),D))]]) ).

cnf(refute_0_20870,plain,
    ( product(quotient(product(b,c),bigC(b,c,product(c,a))),D) != product(quotient(product(b,c),product(bigC(a,b,b),c)),D)
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D))) )],[refute_0_20868,refute_0_20869]) ).

cnf(refute_0_20871,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) = product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,c),bigC(b,c,product(c,a))),D),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) )],[refute_0_20867,refute_0_20870]) ).

cnf(refute_0_20872,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(bigC(c,b,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) ),[0],$fot(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)))]]) ).

cnf(refute_0_20873,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)) != product(bigC(c,b,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D))) )],[refute_0_20871,refute_0_20872]) ).

cnf(refute_0_20874,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),bigC(b,c,product(c,a))),D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) )],[refute_0_20859,refute_0_20873]) ).

cnf(refute_0_20875,plain,
    product(bigC(c,b,bigC(a,b,b)),product(B,D)) = product(bigC(c,b,bigC(a,b,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,bigC(a,b,b)),product(B,D)))]]) ).

cnf(refute_0_20876,plain,
    ( bigC(c,b,bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | product(bigC(c,b,bigC(a,b,b)),product(B,D)) != product(bigC(c,b,bigC(a,b,b)),product(B,D))
    | product(bigC(c,b,bigC(a,b,b)),product(B,D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,bigC(a,b,b)),product(B,D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) ),[1,0],$fot(bigC(b,c,bigC(a,b,b)))]]) ).

cnf(refute_0_20877,plain,
    ( bigC(c,b,bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | product(bigC(c,b,bigC(a,b,b)),product(B,D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,bigC(a,b,b)),product(B,D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) )],[refute_0_20875,refute_0_20876]) ).

cnf(refute_0_20878,plain,
    product(bigC(c,b,bigC(a,b,b)),product(B,D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(a,b,b)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20598,refute_0_20877]) ).

cnf(refute_0_20879,plain,
    ( product(bigC(c,b,bigC(a,b,b)),product(B,D)) != product(bigC(b,c,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) != product(bigC(c,b,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) ),[1],$fot(product(bigC(b,c,bigC(a,b,b)),product(B,D)))]]) ).

cnf(refute_0_20880,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) != product(bigC(c,b,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,bigC(a,b,b)),product(B,D)),product(bigC(b,c,bigC(a,b,b)),product(B,D))) )],[refute_0_20878,refute_0_20879]) ).

cnf(refute_0_20881,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(bigC(c,b,bigC(a,b,b)),product(B,D))) )],[refute_0_20874,refute_0_20880]) ).

cnf(refute_0_20882,plain,
    quotient(b,product(b,bigC(c,a,b))) = quotient(b,product(b,bigC(c,a,b))),
    introduced(tautology,[refl,[$fot(quotient(b,product(b,bigC(c,a,b))))]]) ).

cnf(refute_0_20883,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | quotient(b,product(b,bigC(c,a,b))) != quotient(b,product(b,bigC(c,a,b)))
    | quotient(b,product(b,bigC(c,a,b))) = quotient(b,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,product(b,bigC(c,a,b))),quotient(b,product(b,bigC(c,a,b)))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_20884,plain,
    ( product(b,bigC(c,a,b)) != product(b,c)
    | quotient(b,product(b,bigC(c,a,b))) = quotient(b,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,bigC(c,a,b))),quotient(b,product(b,bigC(c,a,b)))) )],[refute_0_20882,refute_0_20883]) ).

cnf(refute_0_20885,plain,
    quotient(b,product(b,bigC(c,a,b))) = quotient(b,product(b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(c,a,b)),product(b,c)) )],[refute_0_477,refute_0_20884]) ).

cnf(refute_0_20886,plain,
    product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) = product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)))]]) ).

cnf(refute_0_20887,plain,
    ( product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) != product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))
    | quotient(b,product(b,bigC(c,a,b))) != quotient(b,product(b,c))
    | product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))) ),[1,0],$fot(quotient(b,product(b,c)))]]) ).

cnf(refute_0_20888,plain,
    ( quotient(b,product(b,bigC(c,a,b))) != quotient(b,product(b,c))
    | product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))) )],[refute_0_20886,refute_0_20887]) ).

cnf(refute_0_20889,plain,
    product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,bigC(c,a,b))),quotient(b,product(b,c))) )],[refute_0_20885,refute_0_20888]) ).

cnf(refute_0_20890,plain,
    ( product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)) != product(quotient(b,product(b,c)),product(product(b,c),c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,c)),product(product(b,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))) ),[1],$fot(product(quotient(b,product(b,c)),product(product(b,c),c)))]]) ).

cnf(refute_0_20891,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,c)),product(product(b,c),c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c)),product(quotient(b,product(b,c)),product(product(b,c),c))) )],[refute_0_20889,refute_0_20890]) ).

cnf(refute_0_20892,plain,
    quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,c)),product(product(b,c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,bigC(c,a,b))),product(product(b,c),c))) )],[refute_0_20799,refute_0_20891]) ).

cnf(refute_0_20893,plain,
    product(quotient(b,product(b,c)),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(product(b,c),c)),
    introduced(tautology,[refl,[$fot(product(quotient(b,product(b,c)),product(product(b,c),c)))]]) ).

cnf(refute_0_20894,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(quotient(b,product(b,c)),product(product(b,c),c)) != product(quotient(b,product(b,c)),product(product(b,c),c))
    | product(quotient(b,product(b,c)),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(b,product(b,c)),product(product(b,c),c)),product(quotient(b,product(b,c)),product(product(b,c),c))) ),[1,1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_20895,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(quotient(b,product(b,c)),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,c)),product(product(b,c),c)),product(quotient(b,product(b,c)),product(product(b,c),c))) )],[refute_0_20893,refute_0_20894]) ).

cnf(refute_0_20896,plain,
    product(quotient(b,product(b,c)),product(product(b,c),c)) = product(quotient(b,product(b,c)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_20895]) ).

cnf(refute_0_20897,plain,
    ( product(quotient(b,product(b,c)),product(product(b,c),c)) != product(quotient(b,product(b,c)),product(b,product(a,c)))
    | quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,c)),product(product(b,c),c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,c)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,c)),product(product(b,c),c))) ),[1],$fot(product(quotient(b,product(b,c)),product(b,product(a,c))))]]) ).

cnf(refute_0_20898,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,c)),product(product(b,c),c))
    | quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,c)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,c)),product(product(b,c),c)),product(quotient(b,product(b,c)),product(b,product(a,c)))) )],[refute_0_20896,refute_0_20897]) ).

cnf(refute_0_20899,plain,
    quotient(product(b,c),bigC(b,c,product(c,a))) = product(quotient(b,product(b,c)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,c)),product(product(b,c),c))) )],[refute_0_20892,refute_0_20898]) ).

cnf(refute_0_20900,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,c)),product(b,product(a,c)))
    | quotient(product(b,c),bigC(b,c,product(c,a))) != quotient(product(b,c),product(bigC(a,b,b),c))
    | quotient(product(b,c),product(bigC(a,b,b),c)) = product(quotient(b,product(b,c)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,c)),product(b,product(a,c)))) ),[0],$fot(quotient(product(b,c),product(bigC(a,b,b),c)))]]) ).

cnf(refute_0_20901,plain,
    ( quotient(product(b,c),bigC(b,c,product(c,a))) != product(quotient(b,product(b,c)),product(b,product(a,c)))
    | quotient(product(b,c),product(bigC(a,b,b),c)) = product(quotient(b,product(b,c)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),quotient(product(b,c),product(bigC(a,b,b),c))) )],[refute_0_20863,refute_0_20900]) ).

cnf(refute_0_20902,plain,
    quotient(product(b,c),product(bigC(a,b,b),c)) = product(quotient(b,product(b,c)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),bigC(b,c,product(c,a))),product(quotient(b,product(b,c)),product(b,product(a,c)))) )],[refute_0_20899,refute_0_20901]) ).

cnf(refute_0_20903,plain,
    quotient(b,product(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)))) = product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(quotient(difference(difference(product(c,b),b),c),b),c))),bind(X_16,$fot(b))]]) ).

cnf(refute_0_20904,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)))) = c,
    inference(subst,[],[sos07:[bind(A,$fot(quotient(difference(quotient(c,a),quotient(b,c)),c))),bind(B,$fot(c))]]) ).

cnf(refute_0_20905,plain,
    difference(c,difference(product(difference(quotient(c,a),quotient(b,c)),c),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)),
    inference(subst,[],[refute_0_1375:[bind(A,$fot(c)),bind(X_27,$fot(difference(quotient(c,a),quotient(b,c))))]]) ).

cnf(refute_0_20906,plain,
    ( difference(c,difference(product(difference(quotient(c,a),quotient(b,c)),c),c)) != product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))
    | product(difference(quotient(c,a),quotient(b,c)),c) != difference(c,bigC(b,b,c))
    | difference(c,difference(difference(c,bigC(b,b,c)),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(product(difference(quotient(c,a),quotient(b,c)),c),c)),product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))) ),[0,1,0],$fot(difference(c,bigC(b,b,c)))]]) ).

cnf(refute_0_20907,plain,
    ( difference(c,difference(product(difference(quotient(c,a),quotient(b,c)),c),c)) != product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))
    | difference(c,difference(difference(c,bigC(b,b,c)),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,a),quotient(b,c)),c),difference(c,bigC(b,b,c))) )],[refute_0_19592,refute_0_20906]) ).

cnf(refute_0_20908,plain,
    difference(c,difference(difference(c,bigC(b,b,c)),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(product(difference(quotient(c,a),quotient(b,c)),c),c)),product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_20905,refute_0_20907]) ).

cnf(refute_0_20909,plain,
    difference(difference(c,bigC(b,b,c)),c) = difference(difference(c,bigC(b,b,c)),c),
    introduced(tautology,[refl,[$fot(difference(difference(c,bigC(b,b,c)),c))]]) ).

cnf(refute_0_20910,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(c,b),b)
    | difference(difference(c,bigC(b,b,c)),c) != difference(difference(c,bigC(b,b,c)),c)
    | difference(difference(c,bigC(b,b,c)),c) = difference(difference(product(c,b),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,bigC(b,b,c)),c),difference(difference(c,bigC(b,b,c)),c)) ),[1,0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_20911,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(c,b),b)
    | difference(difference(c,bigC(b,b,c)),c) = difference(difference(product(c,b),b),c) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,bigC(b,b,c)),c),difference(difference(c,bigC(b,b,c)),c)) )],[refute_0_20909,refute_0_20910]) ).

cnf(refute_0_20912,plain,
    difference(difference(c,bigC(b,b,c)),c) = difference(difference(product(c,b),b),c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),difference(product(c,b),b)) )],[refute_0_19697,refute_0_20911]) ).

cnf(refute_0_20913,plain,
    difference(c,difference(difference(c,bigC(b,b,c)),c)) = difference(c,difference(difference(c,bigC(b,b,c)),c)),
    introduced(tautology,[refl,[$fot(difference(c,difference(difference(c,bigC(b,b,c)),c)))]]) ).

cnf(refute_0_20914,plain,
    ( difference(c,difference(difference(c,bigC(b,b,c)),c)) != difference(c,difference(difference(c,bigC(b,b,c)),c))
    | difference(difference(c,bigC(b,b,c)),c) != difference(difference(product(c,b),b),c)
    | difference(c,difference(difference(c,bigC(b,b,c)),c)) = difference(c,difference(difference(product(c,b),b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(difference(c,bigC(b,b,c)),c)),difference(c,difference(difference(c,bigC(b,b,c)),c))) ),[1,1],$fot(difference(difference(product(c,b),b),c))]]) ).

cnf(refute_0_20915,plain,
    ( difference(difference(c,bigC(b,b,c)),c) != difference(difference(product(c,b),b),c)
    | difference(c,difference(difference(c,bigC(b,b,c)),c)) = difference(c,difference(difference(product(c,b),b),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(c,bigC(b,b,c)),c)),difference(c,difference(difference(c,bigC(b,b,c)),c))) )],[refute_0_20913,refute_0_20914]) ).

cnf(refute_0_20916,plain,
    difference(c,difference(difference(c,bigC(b,b,c)),c)) = difference(c,difference(difference(product(c,b),b),c)),
    inference(resolve,[$cnf( $equal(difference(difference(c,bigC(b,b,c)),c),difference(difference(product(c,b),b),c)) )],[refute_0_20912,refute_0_20915]) ).

cnf(refute_0_20917,plain,
    ( difference(c,difference(difference(c,bigC(b,b,c)),c)) != difference(c,difference(difference(product(c,b),b),c))
    | difference(c,difference(difference(c,bigC(b,b,c)),c)) != product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))
    | difference(c,difference(difference(product(c,b),b),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,difference(difference(c,bigC(b,b,c)),c)),product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))) ),[0],$fot(difference(c,difference(difference(product(c,b),b),c)))]]) ).

cnf(refute_0_20918,plain,
    ( difference(c,difference(difference(c,bigC(b,b,c)),c)) != product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))
    | difference(c,difference(difference(product(c,b),b),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(c,bigC(b,b,c)),c)),difference(c,difference(difference(product(c,b),b),c))) )],[refute_0_20916,refute_0_20917]) ).

cnf(refute_0_20919,plain,
    difference(c,difference(difference(product(c,b),b),c)) = product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(c,bigC(b,b,c)),c)),product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_20908,refute_0_20918]) ).

cnf(refute_0_20920,plain,
    ( difference(c,difference(difference(product(c,b),b),c)) != product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))
    | product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) = difference(c,difference(difference(product(c,b),b),c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(c,difference(difference(product(c,b),b),c)))),bind(Y,$fot(product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))))]]) ).

cnf(refute_0_20921,plain,
    product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) = difference(c,difference(difference(product(c,b),b),c)),
    inference(resolve,[$cnf( $equal(difference(c,difference(difference(product(c,b),b),c)),product(c,quotient(difference(quotient(c,a),quotient(b,c)),c))) )],[refute_0_20919,refute_0_20920]) ).

cnf(refute_0_20922,plain,
    ( product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)) != difference(c,difference(difference(product(c,b),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)))) != c
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)))),c) ),[0,1,1],$fot(difference(c,difference(difference(product(c,b),b),c)))]]) ).

cnf(refute_0_20923,plain,
    ( product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)))) != c
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = c ),
    inference(resolve,[$cnf( $equal(product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)),difference(c,difference(difference(product(c,b),b),c))) )],[refute_0_20921,refute_0_20922]) ).

cnf(refute_0_20924,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,product(c,quotient(difference(quotient(c,a),quotient(b,c)),c)))),c) )],[refute_0_20904,refute_0_20923]) ).

cnf(refute_0_20925,plain,
    bigC(b,difference(a,c),quotient(A,b)) = product(product(b,difference(a,c)),A),
    inference(subst,[],[refute_0_356:[bind(X_21,$fot(b)),bind(X_22,$fot(difference(a,c)))]]) ).

cnf(refute_0_20926,plain,
    product(b,difference(c,product(b,c))) = product(b,difference(c,product(b,c))),
    introduced(tautology,[refl,[$fot(product(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_20927,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | product(b,difference(c,product(b,c))) != product(b,difference(c,product(b,c)))
    | product(b,difference(c,product(b,c))) = product(b,difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(c,product(b,c))),product(b,difference(c,product(b,c)))) ),[1,1],$fot(difference(a,c))]]) ).

cnf(refute_0_20928,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | product(b,difference(c,product(b,c))) = product(b,difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(c,product(b,c))),product(b,difference(c,product(b,c)))) )],[refute_0_20926,refute_0_20927]) ).

cnf(refute_0_20929,plain,
    product(b,difference(c,product(b,c))) = product(b,difference(a,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),difference(a,c)) )],[refute_0_13904,refute_0_20928]) ).

cnf(refute_0_20930,plain,
    ( difference(product(c,b),b) != product(b,difference(c,product(b,c)))
    | product(b,difference(c,product(b,c))) != product(b,difference(a,c))
    | difference(product(c,b),b) = product(b,difference(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,b),b),product(b,difference(a,c))) ),[0],$fot(product(b,difference(c,product(b,c))))]]) ).

cnf(refute_0_20931,plain,
    ( difference(product(c,b),b) != product(b,difference(c,product(b,c)))
    | difference(product(c,b),b) = product(b,difference(a,c)) ),
    inference(resolve,[$cnf( $equal(product(b,difference(c,product(b,c))),product(b,difference(a,c))) )],[refute_0_20929,refute_0_20930]) ).

cnf(refute_0_20932,plain,
    difference(product(c,b),b) = product(b,difference(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),b),product(b,difference(c,product(b,c)))) )],[refute_0_19686,refute_0_20931]) ).

cnf(refute_0_20933,plain,
    ( difference(product(c,b),b) != product(b,difference(a,c))
    | product(b,difference(a,c)) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,b),b))),bind(Y,$fot(product(b,difference(a,c))))]]) ).

cnf(refute_0_20934,plain,
    product(b,difference(a,c)) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),b),product(b,difference(a,c))) )],[refute_0_20932,refute_0_20933]) ).

cnf(refute_0_20935,plain,
    ( bigC(b,difference(a,c),quotient(A,b)) != product(product(b,difference(a,c)),A)
    | product(b,difference(a,c)) != difference(product(c,b),b)
    | bigC(b,difference(a,c),quotient(A,b)) = product(difference(product(c,b),b),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(a,c),quotient(A,b)),product(product(b,difference(a,c)),A)) ),[1,0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_20936,plain,
    ( bigC(b,difference(a,c),quotient(A,b)) != product(product(b,difference(a,c)),A)
    | bigC(b,difference(a,c),quotient(A,b)) = product(difference(product(c,b),b),A) ),
    inference(resolve,[$cnf( $equal(product(b,difference(a,c)),difference(product(c,b),b)) )],[refute_0_20934,refute_0_20935]) ).

cnf(refute_0_20937,plain,
    bigC(b,difference(a,c),quotient(A,b)) = product(difference(product(c,b),b),A),
    inference(resolve,[$cnf( $equal(bigC(b,difference(a,c),quotient(A,b)),product(product(b,difference(a,c)),A)) )],[refute_0_20925,refute_0_20936]) ).

cnf(refute_0_20938,plain,
    bigC(difference(difference(a,c),product(b,c)),X_22,difference(a,c)) = product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(b,c))),bind(X_23,$fot(difference(a,c)))]]) ).

cnf(refute_0_20939,plain,
    difference(difference(c,product(b,c)),product(difference(c,product(b,c)),b)) = b,
    inference(subst,[],[sos01:[bind(A,$fot(difference(c,product(b,c)))),bind(B,$fot(b))]]) ).

cnf(refute_0_20940,plain,
    ( difference(difference(c,product(b,c)),product(difference(c,product(b,c)),b)) != b
    | product(difference(c,product(b,c)),b) != bigC(difference(c,b),c,c)
    | difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = b ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),product(difference(c,product(b,c)),b)),b) ),[0,1],$fot(bigC(difference(c,b),c,c))]]) ).

cnf(refute_0_20941,plain,
    ( difference(difference(c,product(b,c)),product(difference(c,product(b,c)),b)) != b
    | difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = b ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),b),bigC(difference(c,b),c,c)) )],[refute_0_13564,refute_0_20940]) ).

cnf(refute_0_20942,plain,
    difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = b,
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(difference(c,product(b,c)),b)),b) )],[refute_0_20939,refute_0_20941]) ).

cnf(refute_0_20943,plain,
    difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)))]]) ).

cnf(refute_0_20944,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) != difference(difference(c,product(b,c)),bigC(difference(c,b),c,c))
    | difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = difference(difference(c,product(b,c)),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)),difference(difference(c,product(b,c)),bigC(difference(c,b),c,c))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_20945,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = difference(difference(c,product(b,c)),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)),difference(difference(c,product(b,c)),bigC(difference(c,b),c,c))) )],[refute_0_20943,refute_0_20944]) ).

cnf(refute_0_20946,plain,
    difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) = difference(difference(c,product(b,c)),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(c,b),c,c),product(b,c)) )],[refute_0_13583,refute_0_20945]) ).

cnf(refute_0_20947,plain,
    ( difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) != b
    | difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) != difference(difference(c,product(b,c)),product(b,c))
    | difference(difference(c,product(b,c)),product(b,c)) = b ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)),b) ),[0],$fot(difference(difference(c,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_20948,plain,
    ( difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)) != b
    | difference(difference(c,product(b,c)),product(b,c)) = b ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)),difference(difference(c,product(b,c)),product(b,c))) )],[refute_0_20946,refute_0_20947]) ).

cnf(refute_0_20949,plain,
    difference(difference(c,product(b,c)),product(b,c)) = b,
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),bigC(difference(c,b),c,c)),b) )],[refute_0_20942,refute_0_20948]) ).

cnf(refute_0_20950,plain,
    difference(difference(c,product(b,c)),product(b,c)) = difference(difference(c,product(b,c)),product(b,c)),
    introduced(tautology,[refl,[$fot(difference(difference(c,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_20951,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | difference(difference(c,product(b,c)),product(b,c)) != difference(difference(c,product(b,c)),product(b,c))
    | difference(difference(c,product(b,c)),product(b,c)) = difference(difference(a,c),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,c)),difference(difference(c,product(b,c)),product(b,c))) ),[1,0],$fot(difference(a,c))]]) ).

cnf(refute_0_20952,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | difference(difference(c,product(b,c)),product(b,c)) = difference(difference(a,c),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,c)),difference(difference(c,product(b,c)),product(b,c))) )],[refute_0_20950,refute_0_20951]) ).

cnf(refute_0_20953,plain,
    difference(difference(c,product(b,c)),product(b,c)) = difference(difference(a,c),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),difference(a,c)) )],[refute_0_13904,refute_0_20952]) ).

cnf(refute_0_20954,plain,
    ( difference(difference(c,product(b,c)),product(b,c)) != b
    | difference(difference(c,product(b,c)),product(b,c)) != difference(difference(a,c),product(b,c))
    | difference(difference(a,c),product(b,c)) = b ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,c)),b) ),[0],$fot(difference(difference(a,c),product(b,c)))]]) ).

cnf(refute_0_20955,plain,
    ( difference(difference(c,product(b,c)),product(b,c)) != b
    | difference(difference(a,c),product(b,c)) = b ),
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,c)),difference(difference(a,c),product(b,c))) )],[refute_0_20953,refute_0_20954]) ).

cnf(refute_0_20956,plain,
    difference(difference(a,c),product(b,c)) = b,
    inference(resolve,[$cnf( $equal(difference(difference(c,product(b,c)),product(b,c)),b) )],[refute_0_20949,refute_0_20955]) ).

cnf(refute_0_20957,plain,
    ( bigC(difference(difference(a,c),product(b,c)),X_22,difference(a,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | difference(difference(a,c),product(b,c)) != b
    | bigC(b,X_22,difference(a,c)) = product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(a,c),product(b,c)),X_22,difference(a,c)),product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))) ),[0,0],$fot(b)]]) ).

cnf(refute_0_20958,plain,
    ( bigC(difference(difference(a,c),product(b,c)),X_22,difference(a,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | bigC(b,X_22,difference(a,c)) = product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(difference(a,c),product(b,c)),b) )],[refute_0_20956,refute_0_20957]) ).

cnf(refute_0_20959,plain,
    bigC(b,X_22,difference(a,c)) = product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(a,c),product(b,c)),X_22,difference(a,c)),product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))) )],[refute_0_20938,refute_0_20958]) ).

cnf(refute_0_20960,plain,
    bigC(b,B,difference(a,c)) = product(product(b,B),product(difference(a,c),b)),
    inference(subst,[],[sos08:[bind(A,$fot(b)),bind(C,$fot(difference(a,c)))]]) ).

cnf(refute_0_20961,plain,
    ( bigC(difference(c,b),c,c) != product(b,c)
    | bigC(difference(c,b),c,c) != product(difference(c,product(b,c)),b)
    | product(b,c) = product(difference(c,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(c,b),c,c),product(difference(c,product(b,c)),b)) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_20962,plain,
    ( bigC(difference(c,b),c,c) != product(difference(c,product(b,c)),b)
    | product(b,c) = product(difference(c,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(bigC(difference(c,b),c,c),product(b,c)) )],[refute_0_13583,refute_0_20961]) ).

cnf(refute_0_20963,plain,
    product(b,c) = product(difference(c,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(difference(c,b),c,c),product(difference(c,product(b,c)),b)) )],[refute_0_13562,refute_0_20962]) ).

cnf(refute_0_20964,plain,
    product(difference(c,product(b,c)),b) = product(difference(c,product(b,c)),b),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,c)),b))]]) ).

cnf(refute_0_20965,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | product(difference(c,product(b,c)),b) != product(difference(c,product(b,c)),b)
    | product(difference(c,product(b,c)),b) = product(difference(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,c)),b),product(difference(c,product(b,c)),b)) ),[1,0],$fot(difference(a,c))]]) ).

cnf(refute_0_20966,plain,
    ( difference(c,product(b,c)) != difference(a,c)
    | product(difference(c,product(b,c)),b) = product(difference(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),b),product(difference(c,product(b,c)),b)) )],[refute_0_20964,refute_0_20965]) ).

cnf(refute_0_20967,plain,
    product(difference(c,product(b,c)),b) = product(difference(a,c),b),
    inference(resolve,[$cnf( $equal(difference(c,product(b,c)),difference(a,c)) )],[refute_0_13904,refute_0_20966]) ).

cnf(refute_0_20968,plain,
    ( product(b,c) != product(difference(c,product(b,c)),b)
    | product(difference(c,product(b,c)),b) != product(difference(a,c),b)
    | product(b,c) = product(difference(a,c),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,c),product(difference(a,c),b)) ),[0],$fot(product(difference(c,product(b,c)),b))]]) ).

cnf(refute_0_20969,plain,
    ( product(b,c) != product(difference(c,product(b,c)),b)
    | product(b,c) = product(difference(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,c)),b),product(difference(a,c),b)) )],[refute_0_20967,refute_0_20968]) ).

cnf(refute_0_20970,plain,
    product(b,c) = product(difference(a,c),b),
    inference(resolve,[$cnf( $equal(product(b,c),product(difference(c,product(b,c)),b)) )],[refute_0_20963,refute_0_20969]) ).

cnf(refute_0_20971,plain,
    ( product(b,c) != product(difference(a,c),b)
    | product(difference(a,c),b) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(product(difference(a,c),b)))]]) ).

cnf(refute_0_20972,plain,
    product(difference(a,c),b) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),product(difference(a,c),b)) )],[refute_0_20970,refute_0_20971]) ).

cnf(refute_0_20973,plain,
    ( bigC(b,B,difference(a,c)) != product(product(b,B),product(difference(a,c),b))
    | product(difference(a,c),b) != product(b,c)
    | bigC(b,B,difference(a,c)) = product(product(b,B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,B,difference(a,c)),product(product(b,B),product(difference(a,c),b))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_20974,plain,
    ( bigC(b,B,difference(a,c)) != product(product(b,B),product(difference(a,c),b))
    | bigC(b,B,difference(a,c)) = product(product(b,B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(a,c),b),product(b,c)) )],[refute_0_20972,refute_0_20973]) ).

cnf(refute_0_20975,plain,
    bigC(b,B,difference(a,c)) = product(product(b,B),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,B,difference(a,c)),product(product(b,B),product(difference(a,c),b))) )],[refute_0_20960,refute_0_20974]) ).

cnf(refute_0_20976,plain,
    product(product(b,B),product(b,c)) = product(b,product(B,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(b)),bind(X_65,$fot(B)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_20977,plain,
    ( bigC(b,B,difference(a,c)) != product(product(b,B),product(b,c))
    | product(product(b,B),product(b,c)) != product(b,product(B,c))
    | bigC(b,B,difference(a,c)) = product(b,product(B,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,B,difference(a,c)),product(b,product(B,c))) ),[0],$fot(product(product(b,B),product(b,c)))]]) ).

cnf(refute_0_20978,plain,
    ( bigC(b,B,difference(a,c)) != product(product(b,B),product(b,c))
    | bigC(b,B,difference(a,c)) = product(b,product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,B),product(b,c)),product(b,product(B,c))) )],[refute_0_20976,refute_0_20977]) ).

cnf(refute_0_20979,plain,
    bigC(b,B,difference(a,c)) = product(b,product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(b,B,difference(a,c)),product(product(b,B),product(b,c))) )],[refute_0_20975,refute_0_20978]) ).

cnf(refute_0_20980,plain,
    bigC(b,X_22,difference(a,c)) = product(b,product(X_22,c)),
    inference(subst,[],[refute_0_20979:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_20981,plain,
    ( bigC(b,X_22,difference(a,c)) != product(b,product(X_22,c))
    | bigC(b,X_22,difference(a,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | product(b,product(X_22,c)) = product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,X_22,difference(a,c)),product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))) ),[0],$fot(product(b,product(X_22,c)))]]) ).

cnf(refute_0_20982,plain,
    ( bigC(b,X_22,difference(a,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | product(b,product(X_22,c)) = product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,difference(a,c)),product(b,product(X_22,c))) )],[refute_0_20980,refute_0_20981]) ).

cnf(refute_0_20983,plain,
    bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) = bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22))]]) ).

cnf(refute_0_20984,plain,
    ( bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) != bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22)
    | difference(difference(a,c),product(b,c)) != b
    | bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) = bigC(b,difference(a,c),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22),bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22)) ),[1,0],$fot(b)]]) ).

cnf(refute_0_20985,plain,
    ( difference(difference(a,c),product(b,c)) != b
    | bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) = bigC(b,difference(a,c),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22),bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22)) )],[refute_0_20983,refute_0_20984]) ).

cnf(refute_0_20986,plain,
    bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) = bigC(b,difference(a,c),X_22),
    inference(resolve,[$cnf( $equal(difference(difference(a,c),product(b,c)),b) )],[refute_0_20956,refute_0_20985]) ).

cnf(refute_0_20987,plain,
    product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) = bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(product(b,c))),bind(X_23,$fot(difference(a,c)))]]) ).

cnf(refute_0_20988,plain,
    ( bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) != bigC(b,difference(a,c),X_22)
    | product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) != bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22)
    | product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) = bigC(b,difference(a,c),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)))),bind(Y,$fot(bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22))),bind(Z,$fot(bigC(b,difference(a,c),X_22)))]]) ).

cnf(refute_0_20989,plain,
    ( bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22) != bigC(b,difference(a,c),X_22)
    | product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) = bigC(b,difference(a,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)),bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22)) )],[refute_0_20987,refute_0_20988]) ).

cnf(refute_0_20990,plain,
    product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) = bigC(b,difference(a,c),X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(difference(a,c),product(b,c)),difference(a,c),X_22),bigC(b,difference(a,c),X_22)) )],[refute_0_20986,refute_0_20989]) ).

cnf(refute_0_20991,plain,
    ( product(b,product(X_22,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)) != bigC(b,difference(a,c),X_22)
    | product(b,product(X_22,c)) = bigC(b,difference(a,c),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(X_22,c)),bigC(b,difference(a,c),X_22)) ),[0],$fot(product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)))]]) ).

cnf(refute_0_20992,plain,
    ( product(b,product(X_22,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | product(b,product(X_22,c)) = bigC(b,difference(a,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c)),bigC(b,difference(a,c),X_22)) )],[refute_0_20990,refute_0_20991]) ).

cnf(refute_0_20993,plain,
    ( bigC(b,X_22,difference(a,c)) != product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))
    | product(b,product(X_22,c)) = bigC(b,difference(a,c),X_22) ),
    inference(resolve,[$cnf( $equal(product(b,product(X_22,c)),product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))) )],[refute_0_20982,refute_0_20992]) ).

cnf(refute_0_20994,plain,
    product(b,product(X_22,c)) = bigC(b,difference(a,c),X_22),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,difference(a,c)),product(product(difference(difference(a,c),product(b,c)),X_22),product(b,c))) )],[refute_0_20959,refute_0_20993]) ).

cnf(refute_0_20995,plain,
    ( product(b,product(X_22,c)) != bigC(b,difference(a,c),X_22)
    | bigC(b,difference(a,c),X_22) = product(b,product(X_22,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(X_22,c)))),bind(Y,$fot(bigC(b,difference(a,c),X_22)))]]) ).

cnf(refute_0_20996,plain,
    bigC(b,difference(a,c),X_22) = product(b,product(X_22,c)),
    inference(resolve,[$cnf( $equal(product(b,product(X_22,c)),bigC(b,difference(a,c),X_22)) )],[refute_0_20994,refute_0_20995]) ).

cnf(refute_0_20997,plain,
    bigC(b,difference(a,c),quotient(A,b)) = product(b,product(quotient(A,b),c)),
    inference(subst,[],[refute_0_20996:[bind(X_22,$fot(quotient(A,b)))]]) ).

cnf(refute_0_20998,plain,
    ( bigC(b,difference(a,c),quotient(A,b)) != product(b,product(quotient(A,b),c))
    | bigC(b,difference(a,c),quotient(A,b)) != product(difference(product(c,b),b),A)
    | product(b,product(quotient(A,b),c)) = product(difference(product(c,b),b),A) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(a,c),quotient(A,b)),product(difference(product(c,b),b),A)) ),[0],$fot(product(b,product(quotient(A,b),c)))]]) ).

cnf(refute_0_20999,plain,
    ( bigC(b,difference(a,c),quotient(A,b)) != product(difference(product(c,b),b),A)
    | product(b,product(quotient(A,b),c)) = product(difference(product(c,b),b),A) ),
    inference(resolve,[$cnf( $equal(bigC(b,difference(a,c),quotient(A,b)),product(b,product(quotient(A,b),c))) )],[refute_0_20997,refute_0_20998]) ).

cnf(refute_0_21000,plain,
    product(b,product(quotient(A,b),c)) = product(difference(product(c,b),b),A),
    inference(resolve,[$cnf( $equal(bigC(b,difference(a,c),quotient(A,b)),product(difference(product(c,b),b),A)) )],[refute_0_20937,refute_0_20999]) ).

cnf(refute_0_21001,plain,
    ( product(b,product(quotient(A,b),c)) != product(difference(product(c,b),b),A)
    | product(difference(product(c,b),b),A) = product(b,product(quotient(A,b),c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(quotient(A,b),c)))),bind(Y,$fot(product(difference(product(c,b),b),A)))]]) ).

cnf(refute_0_21002,plain,
    product(difference(product(c,b),b),A) = product(b,product(quotient(A,b),c)),
    inference(resolve,[$cnf( $equal(product(b,product(quotient(A,b),c)),product(difference(product(c,b),b),A)) )],[refute_0_21000,refute_0_21001]) ).

cnf(refute_0_21003,plain,
    product(difference(product(c,b),b),difference(difference(product(c,b),b),c)) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)),
    inference(subst,[],[refute_0_21002:[bind(A,$fot(difference(difference(product(c,b),b),c)))]]) ).

cnf(refute_0_21004,plain,
    ( difference(c,bigC(b,b,c)) != difference(product(c,b),b)
    | difference(c,bigC(b,b,c)) != product(difference(quotient(c,a),quotient(b,c)),c)
    | difference(product(c,b),b) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(b,b,c)),product(difference(quotient(c,a),quotient(b,c)),c)) ),[0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_21005,plain,
    ( difference(c,bigC(b,b,c)) != product(difference(quotient(c,a),quotient(b,c)),c)
    | difference(product(c,b),b) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),difference(product(c,b),b)) )],[refute_0_19697,refute_0_21004]) ).

cnf(refute_0_21006,plain,
    difference(product(c,b),b) = product(difference(quotient(c,a),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(b,b,c)),product(difference(quotient(c,a),quotient(b,c)),c)) )],[refute_0_19590,refute_0_21005]) ).

cnf(refute_0_21007,plain,
    ( difference(product(c,b),b) != product(difference(quotient(c,a),quotient(b,c)),c)
    | product(difference(quotient(c,a),quotient(b,c)),c) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,b),b))),bind(Y,$fot(product(difference(quotient(c,a),quotient(b,c)),c)))]]) ).

cnf(refute_0_21008,plain,
    product(difference(quotient(c,a),quotient(b,c)),c) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(difference(product(c,b),b),product(difference(quotient(c,a),quotient(b,c)),c)) )],[refute_0_21006,refute_0_21007]) ).

cnf(refute_0_21009,plain,
    product(quotient(difference(quotient(c,a),quotient(b,c)),c),c) = difference(quotient(c,a),quotient(b,c)),
    inference(subst,[],[sos04:[bind(A,$fot(difference(quotient(c,a),quotient(b,c)))),bind(B,$fot(c))]]) ).

cnf(refute_0_21010,plain,
    product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),
    introduced(tautology,[refl,[$fot(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c))]]) ).

cnf(refute_0_21011,plain,
    ( product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) != product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c)
    | product(quotient(difference(quotient(c,a),quotient(b,c)),c),c) != difference(quotient(c,a),quotient(b,c))
    | product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c)) ),[1,0],$fot(difference(quotient(c,a),quotient(b,c)))]]) ).

cnf(refute_0_21012,plain,
    ( product(quotient(difference(quotient(c,a),quotient(b,c)),c),c) != difference(quotient(c,a),quotient(b,c))
    | product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = product(difference(quotient(c,a),quotient(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c)) )],[refute_0_21010,refute_0_21011]) ).

cnf(refute_0_21013,plain,
    product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = product(difference(quotient(c,a),quotient(b,c)),c),
    inference(resolve,[$cnf( $equal(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),difference(quotient(c,a),quotient(b,c))) )],[refute_0_21009,refute_0_21012]) ).

cnf(refute_0_21014,plain,
    ( product(difference(quotient(c,a),quotient(b,c)),c) != difference(product(c,b),b)
    | product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) != product(difference(quotient(c,a),quotient(b,c)),c)
    | product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = difference(product(c,b),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c))),bind(Y,$fot(product(difference(quotient(c,a),quotient(b,c)),c))),bind(Z,$fot(difference(product(c,b),b)))]]) ).

cnf(refute_0_21015,plain,
    ( product(difference(quotient(c,a),quotient(b,c)),c) != difference(product(c,b),b)
    | product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = difference(product(c,b),b) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(difference(quotient(c,a),quotient(b,c)),c)) )],[refute_0_21013,refute_0_21014]) ).

cnf(refute_0_21016,plain,
    product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) = difference(product(c,b),b),
    inference(resolve,[$cnf( $equal(product(difference(quotient(c,a),quotient(b,c)),c),difference(product(c,b),b)) )],[refute_0_21008,refute_0_21015]) ).

cnf(refute_0_21017,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)),
    introduced(tautology,[refl,[$fot(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)))]]) ).

cnf(refute_0_21018,plain,
    ( product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) != product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c))
    | product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) != difference(product(c,b),b)
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(difference(product(c,b),b),difference(difference(product(c,b),b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)),product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c))) ),[1,0],$fot(difference(product(c,b),b))]]) ).

cnf(refute_0_21019,plain,
    ( product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c) != difference(product(c,b),b)
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(difference(product(c,b),b),difference(difference(product(c,b),b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)),product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c))) )],[refute_0_21017,refute_0_21018]) ).

cnf(refute_0_21020,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(difference(product(c,b),b),difference(difference(product(c,b),b),c)),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(product(c,b),b)) )],[refute_0_21016,refute_0_21019]) ).

cnf(refute_0_21021,plain,
    ( product(difference(product(c,b),b),difference(difference(product(c,b),b),c)) != product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) != product(difference(product(c,b),b),difference(difference(product(c,b),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)))),bind(Y,$fot(product(difference(product(c,b),b),difference(difference(product(c,b),b),c)))),bind(Z,$fot(product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))))]]) ).

cnf(refute_0_21022,plain,
    ( product(difference(product(c,b),b),difference(difference(product(c,b),b),c)) != product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)),product(difference(product(c,b),b),difference(difference(product(c,b),b),c))) )],[refute_0_21020,refute_0_21021]) ).

cnf(refute_0_21023,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),b),difference(difference(product(c,b),b),c)),product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))) )],[refute_0_21003,refute_0_21022]) ).

cnf(refute_0_21024,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)),
    inference(subst,[],[refute_0_13602:[bind(B,$fot(difference(difference(product(c,b),b),c))),bind(X_63,$fot(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c))),bind(X_64,$fot(c)),bind(X_65,$fot(c))]]) ).

cnf(refute_0_21025,plain,
    ( product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) != product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) != product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))))),bind(Y,$fot(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)))),bind(Z,$fot(product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))))]]) ).

cnf(refute_0_21026,plain,
    ( product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)) != product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))),product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c))) )],[refute_0_21024,refute_0_21025]) ).

cnf(refute_0_21027,plain,
    product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) = product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),difference(difference(product(c,b),b),c)),product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))) )],[refute_0_21023,refute_0_21026]) ).

cnf(refute_0_21028,plain,
    ( product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) != c
    | product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) != product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))
    | product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))),c) ),[0],$fot(product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)))]]) ).

cnf(refute_0_21029,plain,
    ( product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))) != c
    | product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))),product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))) )],[refute_0_21027,refute_0_21028]) ).

cnf(refute_0_21030,plain,
    product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) = c,
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(quotient(c,a),quotient(b,c)),c),c),c),product(c,difference(c,difference(difference(product(c,b),b),c)))),c) )],[refute_0_20924,refute_0_21029]) ).

cnf(refute_0_21031,plain,
    ( product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) != c
    | quotient(b,product(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)))) != product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)
    | quotient(b,product(b,c)) = product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,product(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)))),product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)) ),[0,1,1],$fot(c)]]) ).

cnf(refute_0_21032,plain,
    ( quotient(b,product(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)))) != product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)
    | quotient(b,product(b,c)) = product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) ),
    inference(resolve,[$cnf( $equal(product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)),c) )],[refute_0_21030,refute_0_21031]) ).

cnf(refute_0_21033,plain,
    quotient(b,product(b,c)) = product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)))),product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)) )],[refute_0_20903,refute_0_21032]) ).

cnf(refute_0_21034,plain,
    difference(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))) = product(quotient(difference(difference(product(c,b),b),c),b),c),
    inference(subst,[],[sos01:[bind(A,$fot(b)),bind(B,$fot(product(quotient(difference(difference(product(c,b),b),c),b),c)))]]) ).

cnf(refute_0_21035,plain,
    ( difference(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))) != product(quotient(difference(difference(product(c,b),b),c),b),c)
    | product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)) != c
    | difference(b,c) = product(quotient(difference(difference(product(c,b),b),c),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))),product(quotient(difference(difference(product(c,b),b),c),b),c)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_21036,plain,
    ( difference(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))) != product(quotient(difference(difference(product(c,b),b),c),b),c)
    | difference(b,c) = product(quotient(difference(difference(product(c,b),b),c),b),c) ),
    inference(resolve,[$cnf( $equal(product(b,product(quotient(difference(difference(product(c,b),b),c),b),c)),c) )],[refute_0_21030,refute_0_21035]) ).

cnf(refute_0_21037,plain,
    difference(b,c) = product(quotient(difference(difference(product(c,b),b),c),b),c),
    inference(resolve,[$cnf( $equal(difference(b,product(b,product(quotient(difference(difference(product(c,b),b),c),b),c))),product(quotient(difference(difference(product(c,b),b),c),b),c)) )],[refute_0_21034,refute_0_21036]) ).

cnf(refute_0_21038,plain,
    ( difference(b,c) != product(quotient(difference(difference(product(c,b),b),c),b),c)
    | product(quotient(difference(difference(product(c,b),b),c),b),c) = difference(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(b,c))),bind(Y,$fot(product(quotient(difference(difference(product(c,b),b),c),b),c)))]]) ).

cnf(refute_0_21039,plain,
    product(quotient(difference(difference(product(c,b),b),c),b),c) = difference(b,c),
    inference(resolve,[$cnf( $equal(difference(b,c),product(quotient(difference(difference(product(c,b),b),c),b),c)) )],[refute_0_21037,refute_0_21038]) ).

cnf(refute_0_21040,plain,
    product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),
    introduced(tautology,[refl,[$fot(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b))]]) ).

cnf(refute_0_21041,plain,
    ( product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) != product(product(quotient(difference(difference(product(c,b),b),c),b),c),b)
    | product(quotient(difference(difference(product(c,b),b),c),b),c) != difference(b,c)
    | product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = product(difference(b,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),product(product(quotient(difference(difference(product(c,b),b),c),b),c),b)) ),[1,0],$fot(difference(b,c))]]) ).

cnf(refute_0_21042,plain,
    ( product(quotient(difference(difference(product(c,b),b),c),b),c) != difference(b,c)
    | product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = product(difference(b,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),product(product(quotient(difference(difference(product(c,b),b),c),b),c),b)) )],[refute_0_21040,refute_0_21041]) ).

cnf(refute_0_21043,plain,
    product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = product(difference(b,c),b),
    inference(resolve,[$cnf( $equal(product(quotient(difference(difference(product(c,b),b),c),b),c),difference(b,c)) )],[refute_0_21039,refute_0_21042]) ).

cnf(refute_0_21044,plain,
    ( product(difference(b,c),b) != quotient(c,a)
    | product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) != product(difference(b,c),b)
    | product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = quotient(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b))),bind(Y,$fot(product(difference(b,c),b))),bind(Z,$fot(quotient(c,a)))]]) ).

cnf(refute_0_21045,plain,
    ( product(difference(b,c),b) != quotient(c,a)
    | product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = quotient(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),product(difference(b,c),b)) )],[refute_0_21043,refute_0_21044]) ).

cnf(refute_0_21046,plain,
    product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) = quotient(c,a),
    inference(resolve,[$cnf( $equal(product(difference(b,c),b),quotient(c,a)) )],[refute_0_16094,refute_0_21045]) ).

cnf(refute_0_21047,plain,
    product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) = product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b),
    introduced(tautology,[refl,[$fot(product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b))]]) ).

cnf(refute_0_21048,plain,
    ( product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) != product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)
    | product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) != quotient(c,a)
    | product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) = product(quotient(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b),product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)) ),[1,0],$fot(quotient(c,a))]]) ).

cnf(refute_0_21049,plain,
    ( product(product(quotient(difference(difference(product(c,b),b),c),b),c),b) != quotient(c,a)
    | product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) = product(quotient(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b),product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)) )],[refute_0_21047,refute_0_21048]) ).

cnf(refute_0_21050,plain,
    product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) = product(quotient(c,a),b),
    inference(resolve,[$cnf( $equal(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),quotient(c,a)) )],[refute_0_21046,refute_0_21049]) ).

cnf(refute_0_21051,plain,
    ( product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b) != product(quotient(c,a),b)
    | quotient(b,product(b,c)) != product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)
    | quotient(b,product(b,c)) = product(quotient(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(b,product(b,c)),product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)) ),[1],$fot(product(quotient(c,a),b))]]) ).

cnf(refute_0_21052,plain,
    ( quotient(b,product(b,c)) != product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)
    | quotient(b,product(b,c)) = product(quotient(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b),product(quotient(c,a),b)) )],[refute_0_21050,refute_0_21051]) ).

cnf(refute_0_21053,plain,
    quotient(b,product(b,c)) = product(quotient(c,a),b),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,c)),product(product(product(quotient(difference(difference(product(c,b),b),c),b),c),b),b)) )],[refute_0_21033,refute_0_21052]) ).

cnf(refute_0_21054,plain,
    product(quotient(b,product(b,c)),product(b,product(a,c))) = product(quotient(b,product(b,c)),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(b,product(b,c)),product(b,product(a,c))))]]) ).

cnf(refute_0_21055,plain,
    ( product(quotient(b,product(b,c)),product(b,product(a,c))) != product(quotient(b,product(b,c)),product(b,product(a,c)))
    | quotient(b,product(b,c)) != product(quotient(c,a),b)
    | product(quotient(b,product(b,c)),product(b,product(a,c))) = product(product(quotient(c,a),b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(b,product(b,c)),product(b,product(a,c))),product(quotient(b,product(b,c)),product(b,product(a,c)))) ),[1,0],$fot(product(quotient(c,a),b))]]) ).

cnf(refute_0_21056,plain,
    ( quotient(b,product(b,c)) != product(quotient(c,a),b)
    | product(quotient(b,product(b,c)),product(b,product(a,c))) = product(product(quotient(c,a),b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,c)),product(b,product(a,c))),product(quotient(b,product(b,c)),product(b,product(a,c)))) )],[refute_0_21054,refute_0_21055]) ).

cnf(refute_0_21057,plain,
    product(quotient(b,product(b,c)),product(b,product(a,c))) = product(product(quotient(c,a),b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(b,product(b,c)),product(quotient(c,a),b)) )],[refute_0_21053,refute_0_21056]) ).

cnf(refute_0_21058,plain,
    ( product(quotient(b,product(b,c)),product(b,product(a,c))) != product(product(quotient(c,a),b),product(b,product(a,c)))
    | quotient(product(b,c),product(bigC(a,b,b),c)) != product(quotient(b,product(b,c)),product(b,product(a,c)))
    | quotient(product(b,c),product(bigC(a,b,b),c)) = product(product(quotient(c,a),b),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(bigC(a,b,b),c)),product(quotient(b,product(b,c)),product(b,product(a,c)))) ),[1],$fot(product(product(quotient(c,a),b),product(b,product(a,c))))]]) ).

cnf(refute_0_21059,plain,
    ( quotient(product(b,c),product(bigC(a,b,b),c)) != product(quotient(b,product(b,c)),product(b,product(a,c)))
    | quotient(product(b,c),product(bigC(a,b,b),c)) = product(product(quotient(c,a),b),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(b,product(b,c)),product(b,product(a,c))),product(product(quotient(c,a),b),product(b,product(a,c)))) )],[refute_0_21057,refute_0_21058]) ).

cnf(refute_0_21060,plain,
    quotient(product(b,c),product(bigC(a,b,b),c)) = product(product(quotient(c,a),b),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(bigC(a,b,b),c)),product(quotient(b,product(b,c)),product(b,product(a,c)))) )],[refute_0_20902,refute_0_21059]) ).

cnf(refute_0_21061,plain,
    bigC(b,product(b,c),b) = bigC(b,b,product(b,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_21062,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,c,b))
    | bigC(b,product(b,c),b) != bigC(b,b,product(b,c))
    | bigC(b,product(b,c),b) = product(b,bigC(b,c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(b,c),b))),bind(Y,$fot(bigC(b,b,product(b,c)))),bind(Z,$fot(product(b,bigC(b,c,b))))]]) ).

cnf(refute_0_21063,plain,
    ( bigC(b,b,product(b,c)) != product(b,bigC(b,c,b))
    | bigC(b,product(b,c),b) = product(b,bigC(b,c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),b),bigC(b,b,product(b,c))) )],[refute_0_21061,refute_0_21062]) ).

cnf(refute_0_21064,plain,
    bigC(b,product(b,c),b) = product(b,bigC(b,c,b)),
    inference(resolve,[$cnf( $equal(bigC(b,b,product(b,c)),product(b,bigC(b,c,b))) )],[refute_0_10957,refute_0_21063]) ).

cnf(refute_0_21065,plain,
    ( bigC(b,product(b,c),b) != product(b,bigC(b,c,b))
    | product(b,bigC(b,c,b)) != product(b,bigC(b,b,c))
    | bigC(b,product(b,c),b) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(b,c),b))),bind(Y,$fot(product(b,bigC(b,c,b)))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21066,plain,
    ( product(b,bigC(b,c,b)) != product(b,bigC(b,b,c))
    | bigC(b,product(b,c),b) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),b),product(b,bigC(b,c,b))) )],[refute_0_21064,refute_0_21065]) ).

cnf(refute_0_21067,plain,
    bigC(b,product(b,c),b) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(b,bigC(b,c,b)),product(b,bigC(b,b,c))) )],[refute_0_10956,refute_0_21066]) ).

cnf(refute_0_21068,plain,
    product(product(b,product(b,c)),b) = bigC(b,product(b,c),b),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(b)),bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_21069,plain,
    ( bigC(b,product(b,c),b) != product(b,bigC(b,b,c))
    | product(product(b,product(b,c)),b) != bigC(b,product(b,c),b)
    | product(product(b,product(b,c)),b) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(b,c)),b))),bind(Y,$fot(bigC(b,product(b,c),b))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21070,plain,
    ( bigC(b,product(b,c),b) != product(b,bigC(b,b,c))
    | product(product(b,product(b,c)),b) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),b),bigC(b,product(b,c),b)) )],[refute_0_21068,refute_0_21069]) ).

cnf(refute_0_21071,plain,
    product(product(b,product(b,c)),b) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(b,c),b),product(b,bigC(b,b,c))) )],[refute_0_21067,refute_0_21070]) ).

cnf(refute_0_21072,plain,
    product(product(b,product(b,c)),product(quotient(b,c),c)) = product(product(b,product(b,c)),product(quotient(b,c),c)),
    introduced(tautology,[refl,[$fot(product(product(b,product(b,c)),product(quotient(b,c),c)))]]) ).

cnf(refute_0_21073,plain,
    ( product(product(b,product(b,c)),product(quotient(b,c),c)) != product(product(b,product(b,c)),product(quotient(b,c),c))
    | product(quotient(b,c),c) != b
    | product(product(b,product(b,c)),product(quotient(b,c),c)) = product(product(b,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(b,c)),product(quotient(b,c),c)),product(product(b,product(b,c)),product(quotient(b,c),c))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_21074,plain,
    ( product(quotient(b,c),c) != b
    | product(product(b,product(b,c)),product(quotient(b,c),c)) = product(product(b,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(quotient(b,c),c)),product(product(b,product(b,c)),product(quotient(b,c),c))) )],[refute_0_21072,refute_0_21073]) ).

cnf(refute_0_21075,plain,
    product(product(b,product(b,c)),product(quotient(b,c),c)) = product(product(b,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(quotient(b,c),c),b) )],[refute_0_13491,refute_0_21074]) ).

cnf(refute_0_21076,plain,
    ( product(product(b,product(b,c)),b) != product(b,bigC(b,b,c))
    | product(product(b,product(b,c)),product(quotient(b,c),c)) != product(product(b,product(b,c)),b)
    | product(product(b,product(b,c)),product(quotient(b,c),c)) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(b,c)),product(quotient(b,c),c)))),bind(Y,$fot(product(product(b,product(b,c)),b))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21077,plain,
    ( product(product(b,product(b,c)),b) != product(b,bigC(b,b,c))
    | product(product(b,product(b,c)),product(quotient(b,c),c)) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(quotient(b,c),c)),product(product(b,product(b,c)),b)) )],[refute_0_21075,refute_0_21076]) ).

cnf(refute_0_21078,plain,
    product(product(b,product(b,c)),product(quotient(b,c),c)) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),b),product(b,bigC(b,b,c))) )],[refute_0_21071,refute_0_21077]) ).

cnf(refute_0_21079,plain,
    ( product(product(A,product(b,c)),product(C,c)) != product(product(A,C),product(b,product(a,c)))
    | product(product(A,C),product(b,product(a,c))) = product(product(A,product(b,c)),product(C,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,product(b,c)),product(C,c)))),bind(Y,$fot(product(product(A,C),product(b,product(a,c)))))]]) ).

cnf(refute_0_21080,plain,
    product(product(A,C),product(b,product(a,c))) = product(product(A,product(b,c)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(b,c)),product(C,c)),product(product(A,C),product(b,product(a,c)))) )],[refute_0_9955,refute_0_21079]) ).

cnf(refute_0_21081,plain,
    product(product(b,quotient(b,c)),product(b,product(a,c))) = product(product(b,product(b,c)),product(quotient(b,c),c)),
    inference(subst,[],[refute_0_21080:[bind(A,$fot(b)),bind(C,$fot(quotient(b,c)))]]) ).

cnf(refute_0_21082,plain,
    ( product(product(b,product(b,c)),product(quotient(b,c),c)) != product(b,bigC(b,b,c))
    | product(product(b,quotient(b,c)),product(b,product(a,c))) != product(product(b,product(b,c)),product(quotient(b,c),c))
    | product(product(b,quotient(b,c)),product(b,product(a,c))) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,quotient(b,c)),product(b,product(a,c))))),bind(Y,$fot(product(product(b,product(b,c)),product(quotient(b,c),c)))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21083,plain,
    ( product(product(b,product(b,c)),product(quotient(b,c),c)) != product(b,bigC(b,b,c))
    | product(product(b,quotient(b,c)),product(b,product(a,c))) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,quotient(b,c)),product(b,product(a,c))),product(product(b,product(b,c)),product(quotient(b,c),c))) )],[refute_0_21081,refute_0_21082]) ).

cnf(refute_0_21084,plain,
    product(product(b,quotient(b,c)),product(b,product(a,c))) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(quotient(b,c),c)),product(b,bigC(b,b,c))) )],[refute_0_21078,refute_0_21083]) ).

cnf(refute_0_21085,plain,
    product(b,difference(b,product(quotient(c,a),b))) = product(quotient(c,a),b),
    inference(subst,[],[sos02:[bind(A,$fot(b)),bind(B,$fot(product(quotient(c,a),b)))]]) ).

cnf(refute_0_21086,plain,
    ( difference(b,product(quotient(c,a),b)) != quotient(b,c)
    | product(b,difference(b,product(quotient(c,a),b))) != product(quotient(c,a),b)
    | product(b,quotient(b,c)) = product(quotient(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,difference(b,product(quotient(c,a),b))),product(quotient(c,a),b)) ),[0,1],$fot(quotient(b,c))]]) ).

cnf(refute_0_21087,plain,
    ( product(b,difference(b,product(quotient(c,a),b))) != product(quotient(c,a),b)
    | product(b,quotient(b,c)) = product(quotient(c,a),b) ),
    inference(resolve,[$cnf( $equal(difference(b,product(quotient(c,a),b)),quotient(b,c)) )],[refute_0_19424,refute_0_21086]) ).

cnf(refute_0_21088,plain,
    product(b,quotient(b,c)) = product(quotient(c,a),b),
    inference(resolve,[$cnf( $equal(product(b,difference(b,product(quotient(c,a),b))),product(quotient(c,a),b)) )],[refute_0_21085,refute_0_21087]) ).

cnf(refute_0_21089,plain,
    ( product(b,quotient(b,c)) != product(quotient(c,a),b)
    | product(quotient(c,a),b) = product(b,quotient(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,quotient(b,c)))),bind(Y,$fot(product(quotient(c,a),b)))]]) ).

cnf(refute_0_21090,plain,
    product(quotient(c,a),b) = product(b,quotient(b,c)),
    inference(resolve,[$cnf( $equal(product(b,quotient(b,c)),product(quotient(c,a),b)) )],[refute_0_21088,refute_0_21089]) ).

cnf(refute_0_21091,plain,
    product(product(quotient(c,a),b),product(b,product(a,c))) = product(product(quotient(c,a),b),product(b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(quotient(c,a),b),product(b,product(a,c))))]]) ).

cnf(refute_0_21092,plain,
    ( product(product(quotient(c,a),b),product(b,product(a,c))) != product(product(quotient(c,a),b),product(b,product(a,c)))
    | product(quotient(c,a),b) != product(b,quotient(b,c))
    | product(product(quotient(c,a),b),product(b,product(a,c))) = product(product(b,quotient(b,c)),product(b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(quotient(c,a),b),product(b,product(a,c))),product(product(quotient(c,a),b),product(b,product(a,c)))) ),[1,0],$fot(product(b,quotient(b,c)))]]) ).

cnf(refute_0_21093,plain,
    ( product(quotient(c,a),b) != product(b,quotient(b,c))
    | product(product(quotient(c,a),b),product(b,product(a,c))) = product(product(b,quotient(b,c)),product(b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),product(b,product(a,c))),product(product(quotient(c,a),b),product(b,product(a,c)))) )],[refute_0_21091,refute_0_21092]) ).

cnf(refute_0_21094,plain,
    product(product(quotient(c,a),b),product(b,product(a,c))) = product(product(b,quotient(b,c)),product(b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(quotient(c,a),b),product(b,quotient(b,c))) )],[refute_0_21090,refute_0_21093]) ).

cnf(refute_0_21095,plain,
    ( product(product(b,quotient(b,c)),product(b,product(a,c))) != product(b,bigC(b,b,c))
    | product(product(quotient(c,a),b),product(b,product(a,c))) != product(product(b,quotient(b,c)),product(b,product(a,c)))
    | product(product(quotient(c,a),b),product(b,product(a,c))) = product(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(quotient(c,a),b),product(b,product(a,c))))),bind(Y,$fot(product(product(b,quotient(b,c)),product(b,product(a,c))))),bind(Z,$fot(product(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21096,plain,
    ( product(product(b,quotient(b,c)),product(b,product(a,c))) != product(b,bigC(b,b,c))
    | product(product(quotient(c,a),b),product(b,product(a,c))) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),product(b,product(a,c))),product(product(b,quotient(b,c)),product(b,product(a,c)))) )],[refute_0_21094,refute_0_21095]) ).

cnf(refute_0_21097,plain,
    product(product(quotient(c,a),b),product(b,product(a,c))) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(b,quotient(b,c)),product(b,product(a,c))),product(b,bigC(b,b,c))) )],[refute_0_21084,refute_0_21096]) ).

cnf(refute_0_21098,plain,
    ( product(product(quotient(c,a),b),product(b,product(a,c))) != product(b,bigC(b,b,c))
    | quotient(product(b,c),product(bigC(a,b,b),c)) != product(product(quotient(c,a),b),product(b,product(a,c)))
    | quotient(product(b,c),product(bigC(a,b,b),c)) = product(b,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,c),product(bigC(a,b,b),c)),product(product(quotient(c,a),b),product(b,product(a,c)))) ),[1],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_21099,plain,
    ( quotient(product(b,c),product(bigC(a,b,b),c)) != product(product(quotient(c,a),b),product(b,product(a,c)))
    | quotient(product(b,c),product(bigC(a,b,b),c)) = product(b,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),product(b,product(a,c))),product(b,bigC(b,b,c))) )],[refute_0_21097,refute_0_21098]) ).

cnf(refute_0_21100,plain,
    quotient(product(b,c),product(bigC(a,b,b),c)) = product(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(bigC(a,b,b),c)),product(product(quotient(c,a),b),product(b,product(a,c)))) )],[refute_0_21060,refute_0_21099]) ).

cnf(refute_0_21101,plain,
    product(quotient(product(b,c),product(bigC(a,b,b),c)),D) = product(quotient(product(b,c),product(bigC(a,b,b),c)),D),
    introduced(tautology,[refl,[$fot(product(quotient(product(b,c),product(bigC(a,b,b),c)),D))]]) ).

cnf(refute_0_21102,plain,
    ( product(quotient(product(b,c),product(bigC(a,b,b),c)),D) != product(quotient(product(b,c),product(bigC(a,b,b),c)),D)
    | quotient(product(b,c),product(bigC(a,b,b),c)) != product(b,bigC(b,b,c))
    | product(quotient(product(b,c),product(bigC(a,b,b),c)),D) = product(product(b,bigC(b,b,c)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,c),product(bigC(a,b,b),c)),D),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) ),[1,0],$fot(product(b,bigC(b,b,c)))]]) ).

cnf(refute_0_21103,plain,
    ( quotient(product(b,c),product(bigC(a,b,b),c)) != product(b,bigC(b,b,c))
    | product(quotient(product(b,c),product(bigC(a,b,b),c)),D) = product(product(b,bigC(b,b,c)),D) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,c),product(bigC(a,b,b),c)),D),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) )],[refute_0_21101,refute_0_21102]) ).

cnf(refute_0_21104,plain,
    product(quotient(product(b,c),product(bigC(a,b,b),c)),D) = product(product(b,bigC(b,b,c)),D),
    inference(resolve,[$cnf( $equal(quotient(product(b,c),product(bigC(a,b,b),c)),product(b,bigC(b,b,c))) )],[refute_0_21100,refute_0_21103]) ).

cnf(refute_0_21105,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),
    introduced(tautology,[refl,[$fot(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)))]]) ).

cnf(refute_0_21106,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) != product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D))
    | product(quotient(product(b,c),product(bigC(a,b,b),c)),D) != product(product(b,bigC(b,b,c)),D)
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D))) ),[1,1],$fot(product(product(b,bigC(b,b,c)),D))]]) ).

cnf(refute_0_21107,plain,
    ( product(quotient(product(b,c),product(bigC(a,b,b),c)),D) != product(product(b,bigC(b,b,c)),D)
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D))) )],[refute_0_21105,refute_0_21106]) ).

cnf(refute_0_21108,plain,
    product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) = product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,c),product(bigC(a,b,b),c)),D),product(product(b,bigC(b,b,c)),D)) )],[refute_0_21104,refute_0_21107]) ).

cnf(refute_0_21109,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) != product(bigC(b,c,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) != product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D))
    | product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(bigC(b,c,bigC(a,b,b)),product(B,D))) ),[0],$fot(product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)))]]) ).

cnf(refute_0_21110,plain,
    ( product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)) != product(bigC(b,c,bigC(a,b,b)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D))) )],[refute_0_21108,refute_0_21109]) ).

cnf(refute_0_21111,plain,
    product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(quotient(product(b,c),product(bigC(a,b,b),c)),D)),product(bigC(b,c,bigC(a,b,b)),product(B,D))) )],[refute_0_20881,refute_0_21110]) ).

cnf(refute_0_21112,plain,
    product(b,product(bigC(a,a,c),b)) = bigC(b,b,bigC(a,a,c)),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(b)),bind(X_23,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21113,plain,
    product(b,product(product(a,c),bigC(b,b,c))) = product(b,product(product(a,c),bigC(b,b,c))),
    introduced(tautology,[refl,[$fot(product(b,product(product(a,c),bigC(b,b,c))))]]) ).

cnf(refute_0_21114,plain,
    ( product(b,product(product(a,c),bigC(b,b,c))) != product(b,product(product(a,c),bigC(b,b,c)))
    | product(product(a,c),bigC(b,b,c)) != product(bigC(a,a,c),b)
    | product(b,product(product(a,c),bigC(b,b,c))) = product(b,product(bigC(a,a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,product(product(a,c),bigC(b,b,c))),product(b,product(product(a,c),bigC(b,b,c)))) ),[1,1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_21115,plain,
    ( product(product(a,c),bigC(b,b,c)) != product(bigC(a,a,c),b)
    | product(b,product(product(a,c),bigC(b,b,c))) = product(b,product(bigC(a,a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),bigC(b,b,c))),product(b,product(product(a,c),bigC(b,b,c)))) )],[refute_0_21113,refute_0_21114]) ).

cnf(refute_0_21116,plain,
    product(b,product(product(a,c),bigC(b,b,c))) = product(b,product(bigC(a,a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),bigC(b,b,c)),product(bigC(a,a,c),b)) )],[refute_0_5808,refute_0_21115]) ).

cnf(refute_0_21117,plain,
    ( product(b,product(bigC(a,a,c),b)) != bigC(b,b,bigC(a,a,c))
    | product(b,product(product(a,c),bigC(b,b,c))) != product(b,product(bigC(a,a,c),b))
    | product(b,product(product(a,c),bigC(b,b,c))) = bigC(b,b,bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(b,product(product(a,c),bigC(b,b,c))))),bind(Y,$fot(product(b,product(bigC(a,a,c),b)))),bind(Z,$fot(bigC(b,b,bigC(a,a,c))))]]) ).

cnf(refute_0_21118,plain,
    ( product(b,product(bigC(a,a,c),b)) != bigC(b,b,bigC(a,a,c))
    | product(b,product(product(a,c),bigC(b,b,c))) = bigC(b,b,bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),bigC(b,b,c))),product(b,product(bigC(a,a,c),b))) )],[refute_0_21116,refute_0_21117]) ).

cnf(refute_0_21119,plain,
    product(b,product(product(a,c),bigC(b,b,c))) = bigC(b,b,bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(b,product(bigC(a,a,c),b)),bigC(b,b,bigC(a,a,c))) )],[refute_0_21112,refute_0_21118]) ).

cnf(refute_0_21120,plain,
    product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) = product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)))]]) ).

cnf(refute_0_21121,plain,
    ( product(b,product(product(a,c),bigC(b,b,c))) != bigC(b,b,bigC(a,a,c))
    | product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) != product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D))
    | product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)),product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D))) ),[1,0],$fot(bigC(b,b,bigC(a,a,c)))]]) ).

cnf(refute_0_21122,plain,
    ( product(b,product(product(a,c),bigC(b,b,c))) != bigC(b,b,bigC(a,a,c))
    | product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)),product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D))) )],[refute_0_21120,refute_0_21121]) ).

cnf(refute_0_21123,plain,
    product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(b,product(product(a,c),bigC(b,b,c))),bigC(b,b,bigC(a,a,c))) )],[refute_0_21119,refute_0_21122]) ).

cnf(refute_0_21124,plain,
    product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)) = product(product(product(X_136,X_137),product(X_136,X_138)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(X_136,X_137))),bind(C,$fot(product(X_136,X_138)))]]) ).

cnf(refute_0_21125,plain,
    product(X_136,product(X_137,X_138)) = product(product(X_136,X_137),product(X_136,X_138)),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(X_136)),bind(X_65,$fot(X_137)),bind(X_66,$fot(X_138))]]) ).

cnf(refute_0_21126,plain,
    ( product(X_136,product(X_137,X_138)) != product(product(X_136,X_137),product(X_136,X_138))
    | product(product(X_136,X_137),product(X_136,X_138)) = product(X_136,product(X_137,X_138)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(X_136,product(X_137,X_138)))),bind(Y,$fot(product(product(X_136,X_137),product(X_136,X_138))))]]) ).

cnf(refute_0_21127,plain,
    product(product(X_136,X_137),product(X_136,X_138)) = product(X_136,product(X_137,X_138)),
    inference(resolve,[$cnf( $equal(product(X_136,product(X_137,X_138)),product(product(X_136,X_137),product(X_136,X_138))) )],[refute_0_21125,refute_0_21126]) ).

cnf(refute_0_21128,plain,
    ( product(product(X_136,X_137),product(X_136,X_138)) != product(X_136,product(X_137,X_138))
    | product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)) != product(product(product(X_136,X_137),product(X_136,X_138)),product(B,D))
    | product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)) = product(product(X_136,product(X_137,X_138)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)),product(product(product(X_136,X_137),product(X_136,X_138)),product(B,D))) ),[1,0],$fot(product(X_136,product(X_137,X_138)))]]) ).

cnf(refute_0_21129,plain,
    ( product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)) != product(product(product(X_136,X_137),product(X_136,X_138)),product(B,D))
    | product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)) = product(product(X_136,product(X_137,X_138)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(X_136,X_137),product(X_136,X_138)),product(X_136,product(X_137,X_138))) )],[refute_0_21127,refute_0_21128]) ).

cnf(refute_0_21130,plain,
    product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)) = product(product(X_136,product(X_137,X_138)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(X_136,X_137),B),product(product(X_136,X_138),D)),product(product(product(X_136,X_137),product(X_136,X_138)),product(B,D))) )],[refute_0_21124,refute_0_21129]) ).

cnf(refute_0_21131,plain,
    product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)),
    inference(subst,[],[refute_0_21130:[bind(X_136,$fot(b)),bind(X_137,$fot(product(a,c))),bind(X_138,$fot(bigC(b,b,c)))]]) ).

cnf(refute_0_21132,plain,
    ( product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) != product(bigC(b,b,bigC(a,a,c)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) != product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D))
    | product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)))),bind(Y,$fot(product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)))),bind(Z,$fot(product(bigC(b,b,bigC(a,a,c)),product(B,D))))]]) ).

cnf(refute_0_21133,plain,
    ( product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)) != product(bigC(b,b,bigC(a,a,c)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)),product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D))) )],[refute_0_21131,refute_0_21132]) ).

cnf(refute_0_21134,plain,
    product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(a,c),bigC(b,b,c))),product(B,D)),product(bigC(b,b,bigC(a,a,c)),product(B,D))) )],[refute_0_21123,refute_0_21133]) ).

cnf(refute_0_21135,plain,
    ( product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) != product(bigC(b,b,bigC(a,a,c)),product(B,D))
    | product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) != product(bigC(b,c,bigC(a,b,b)),product(B,D))
    | product(bigC(b,b,bigC(a,a,c)),product(B,D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)),product(bigC(b,c,bigC(a,b,b)),product(B,D))) ),[0],$fot(product(bigC(b,b,bigC(a,a,c)),product(B,D)))]]) ).

cnf(refute_0_21136,plain,
    ( product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)) != product(bigC(b,c,bigC(a,b,b)),product(B,D))
    | product(bigC(b,b,bigC(a,a,c)),product(B,D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)),product(bigC(b,b,bigC(a,a,c)),product(B,D))) )],[refute_0_21134,refute_0_21135]) ).

cnf(refute_0_21137,plain,
    product(bigC(b,b,bigC(a,a,c)),product(B,D)) = product(bigC(b,c,bigC(a,b,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(a,c)),B),product(product(b,bigC(b,b,c)),D)),product(bigC(b,c,bigC(a,b,b)),product(B,D))) )],[refute_0_21111,refute_0_21136]) ).

cnf(refute_0_21138,plain,
    ( product(bigC(b,b,bigC(a,a,c)),product(B,D)) != product(bigC(b,c,bigC(a,b,b)),product(B,D))
    | product(bigC(b,c,bigC(a,b,b)),product(B,D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(b,b,bigC(a,a,c)),product(B,D)))),bind(Y,$fot(product(bigC(b,c,bigC(a,b,b)),product(B,D))))]]) ).

cnf(refute_0_21139,plain,
    product(bigC(b,c,bigC(a,b,b)),product(B,D)) = product(bigC(b,b,bigC(a,a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(B,D)),product(bigC(b,c,bigC(a,b,b)),product(B,D))) )],[refute_0_21137,refute_0_21138]) ).

cnf(refute_0_21140,plain,
    product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))) = product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a)))),
    inference(subst,[],[refute_0_21139:[bind(B,$fot(X_23)),bind(D,$fot(bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_21141,plain,
    ( bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) != product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))
    | product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))) != product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a))))
    | bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) = product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23),product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a))))) ),[0],$fot(product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_21142,plain,
    ( bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) != product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))
    | bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) = product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a)))),product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a))))) )],[refute_0_21140,refute_0_21141]) ).

cnf(refute_0_21143,plain,
    bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) = product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23),product(bigC(b,c,bigC(a,b,b)),product(X_23,bigC(b,b,product(c,a))))) )],[refute_0_20767,refute_0_21142]) ).

cnf(refute_0_21144,plain,
    ( bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) != product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a))))
    | product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a)))) = bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23))),bind(Y,$fot(product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a))))))]]) ).

cnf(refute_0_21145,plain,
    product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a)))) = bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),X_23),product(bigC(b,b,bigC(a,a,c)),product(X_23,bigC(b,b,product(c,a))))) )],[refute_0_21143,refute_0_21144]) ).

cnf(refute_0_21146,plain,
    product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) = bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a),
    inference(subst,[],[refute_0_21145:[bind(X_23,$fot(a))]]) ).

cnf(refute_0_21147,plain,
    ( bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) != bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a)
    | product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))))),bind(Y,$fot(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a))),bind(Z,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_21148,plain,
    ( bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))),bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a)) )],[refute_0_21146,refute_0_21147]) ).

cnf(refute_0_21149,plain,
    product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,product(c,a)),bigC(b,b,product(a,c)),a),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_20170,refute_0_21148]) ).

cnf(refute_0_21150,plain,
    bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(difference(bigC(a,a,c),difference(product(c,a),a)),c)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(c)),bind(X_23,$fot(difference(bigC(a,a,c),difference(product(c,a),a))))]]) ).

cnf(refute_0_21151,plain,
    quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) = product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),quotient(c,bigC(a,a,c))),
    inference(subst,[],[refute_0_1355:[bind(A,$fot(c)),bind(X_17,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21152,plain,
    ( quotient(c,bigC(a,a,c)) != product(product(a,c),b)
    | quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),quotient(c,bigC(a,a,c)))
    | quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) = product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)),product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),quotient(c,bigC(a,a,c)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_21153,plain,
    ( quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),quotient(c,bigC(a,a,c)))
    | quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) = product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,c)),product(product(a,c),b)) )],[refute_0_15211,refute_0_21152]) ).

cnf(refute_0_21154,plain,
    quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) = product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)),product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),quotient(c,bigC(a,a,c)))) )],[refute_0_21151,refute_0_21153]) ).

cnf(refute_0_21155,plain,
    quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) = product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),
    inference(subst,[],[refute_0_2071:[bind(X_107,$fot(c)),bind(X_21,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21156,plain,
    ( quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) != product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c)
    | quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)),product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))) ),[0],$fot(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c))]]) ).

cnf(refute_0_21157,plain,
    ( quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)),product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c)) )],[refute_0_21155,refute_0_21156]) ).

cnf(refute_0_21158,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(bigC(a,a,c))),bind(X_16,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_21159,plain,
    ( product(bigC(a,a,c),product(product(a,c),b)) != product(a,product(c,b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(a,product(c,b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))),product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_21160,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(a,product(c,b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(product(a,c),b)),product(a,product(c,b))) )],[refute_0_11742,refute_0_21159]) ).

cnf(refute_0_21161,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(a,product(c,b)),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))),product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_21158,refute_0_21160]) ).

cnf(refute_0_21162,plain,
    product(product(bigC(a,a,c),B),product(product(a,c),D)) = product(product(bigC(a,a,c),product(a,c)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(a,a,c))),bind(C,$fot(product(a,c)))]]) ).

cnf(refute_0_21163,plain,
    quotient(product(product(bigC(a,a,c),product(a,c)),b),b) = product(bigC(a,a,c),product(a,c)),
    inference(subst,[],[sos03:[bind(A,$fot(product(bigC(a,a,c),product(a,c)))),bind(B,$fot(b))]]) ).

cnf(refute_0_21164,plain,
    product(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),product(product(a,c),b)) = product(product(a,bigC(a,a,b)),b),
    inference(subst,[],[sos04:[bind(A,$fot(product(product(a,bigC(a,a,b)),b))),bind(B,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_21165,plain,
    quotient(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(a,c),b)) = product(product(product(a,c),b),product(a,b)),
    inference(subst,[],[refute_0_738:[bind(X_79,$fot(product(product(a,c),b))),bind(X_80,$fot(product(a,b)))]]) ).

cnf(refute_0_21166,plain,
    bigC(product(product(a,c),b),X_22,quotient(product(product(a,product(a,c)),b),product(product(a,c),b))) = product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(product(a,product(a,c)),b))),bind(X_21,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_21167,plain,
    quotient(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) = product(a,b),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,b))),bind(B,$fot(product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_21168,plain,
    ( product(product(a,b),product(product(a,b),product(c,b))) != difference(product(product(product(c,a),a),b),product(a,b))
    | quotient(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) != product(a,b)
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),product(a,b)) ),[0,0],$fot(difference(product(product(product(c,a),a),b),product(a,b)))]]) ).

cnf(refute_0_21169,plain,
    ( quotient(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))) != product(a,b)
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(product(a,b),product(c,b))),difference(product(product(product(c,a),a),b),product(a,b))) )],[refute_0_7757,refute_0_21168]) ).

cnf(refute_0_21170,plain,
    quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),product(product(a,b),product(c,b))),product(product(a,b),product(c,b))),product(a,b)) )],[refute_0_21167,refute_0_21169]) ).

cnf(refute_0_21171,plain,
    quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_21172,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) != quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b)))
    | quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))),quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b)))) ),[1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_21173,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))),quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b)))) )],[refute_0_21171,refute_0_21172]) ).

cnf(refute_0_21174,plain,
    quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_21173]) ).

cnf(refute_0_21175,plain,
    quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),
    introduced(tautology,[refl,[$fot(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_21176,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,product(a,c)),b)
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) != quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b)))
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b)))) ),[1,0],$fot(product(product(a,product(a,c)),b))]]) ).

cnf(refute_0_21177,plain,
    ( difference(product(product(product(c,a),a),b),product(a,b)) != product(product(a,product(a,c)),b)
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b)))) )],[refute_0_21175,refute_0_21176]) ).

cnf(refute_0_21178,plain,
    quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,product(a,c)),b)) )],[refute_0_19933,refute_0_21177]) ).

cnf(refute_0_21179,plain,
    ( quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) != quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b)))
    | quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) != quotient(product(product(a,product(a,c)),b),product(product(a,c),b))
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))))),bind(Y,$fot(quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))))),bind(Z,$fot(quotient(product(product(a,product(a,c)),b),product(product(a,c),b))))]]) ).

cnf(refute_0_21180,plain,
    ( quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))) != quotient(product(product(a,product(a,c)),b),product(product(a,c),b))
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b)))) )],[refute_0_21178,refute_0_21179]) ).

cnf(refute_0_21181,plain,
    quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) = quotient(product(product(a,product(a,c)),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(a,c)),b),product(product(a,b),product(c,b))),quotient(product(product(a,product(a,c)),b),product(product(a,c),b))) )],[refute_0_21174,refute_0_21180]) ).

cnf(refute_0_21182,plain,
    ( quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) != product(a,b)
    | quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) != quotient(product(product(a,product(a,c)),b),product(product(a,c),b))
    | quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),product(a,b)) ),[0],$fot(quotient(product(product(a,product(a,c)),b),product(product(a,c),b)))]]) ).

cnf(refute_0_21183,plain,
    ( quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))) != product(a,b)
    | quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),quotient(product(product(a,product(a,c)),b),product(product(a,c),b))) )],[refute_0_21181,refute_0_21182]) ).

cnf(refute_0_21184,plain,
    quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) = product(a,b),
    inference(resolve,[$cnf( $equal(quotient(difference(product(product(product(c,a),a),b),product(a,b)),product(product(a,b),product(c,b))),product(a,b)) )],[refute_0_21170,refute_0_21183]) ).

cnf(refute_0_21185,plain,
    ( bigC(product(product(a,c),b),X_22,quotient(product(product(a,product(a,c)),b),product(product(a,c),b))) != product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))
    | quotient(product(product(a,product(a,c)),b),product(product(a,c),b)) != product(a,b)
    | bigC(product(product(a,c),b),X_22,product(a,b)) = product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),b),X_22,quotient(product(product(a,product(a,c)),b),product(product(a,c),b))),product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))) ),[0,2],$fot(product(a,b))]]) ).

cnf(refute_0_21186,plain,
    ( bigC(product(product(a,c),b),X_22,quotient(product(product(a,product(a,c)),b),product(product(a,c),b))) != product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))
    | bigC(product(product(a,c),b),X_22,product(a,b)) = product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(a,c)),b),product(product(a,c),b)),product(a,b)) )],[refute_0_21184,refute_0_21185]) ).

cnf(refute_0_21187,plain,
    bigC(product(product(a,c),b),X_22,product(a,b)) = product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),b),X_22,quotient(product(product(a,product(a,c)),b),product(product(a,c),b))),product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))) )],[refute_0_21166,refute_0_21186]) ).

cnf(refute_0_21188,plain,
    bigC(product(a,c),b,a) = bigC(product(a,c),a,b),
    inference(subst,[],[refute_0_14:[bind(A,$fot(product(a,c))),bind(B,$fot(a)),bind(C,$fot(b))]]) ).

cnf(refute_0_21189,plain,
    product(bigC(product(a,c),b,a),product(X_22,b)) = product(bigC(product(a,c),b,a),product(X_22,b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,c),b,a),product(X_22,b)))]]) ).

cnf(refute_0_21190,plain,
    ( bigC(product(a,c),b,a) != bigC(product(a,c),a,b)
    | product(bigC(product(a,c),b,a),product(X_22,b)) != product(bigC(product(a,c),b,a),product(X_22,b))
    | product(bigC(product(a,c),b,a),product(X_22,b)) = product(bigC(product(a,c),a,b),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),b,a),product(X_22,b)),product(bigC(product(a,c),b,a),product(X_22,b))) ),[1,0],$fot(bigC(product(a,c),a,b))]]) ).

cnf(refute_0_21191,plain,
    ( bigC(product(a,c),b,a) != bigC(product(a,c),a,b)
    | product(bigC(product(a,c),b,a),product(X_22,b)) = product(bigC(product(a,c),a,b),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),b,a),product(X_22,b)),product(bigC(product(a,c),b,a),product(X_22,b))) )],[refute_0_21189,refute_0_21190]) ).

cnf(refute_0_21192,plain,
    product(bigC(product(a,c),b,a),product(X_22,b)) = product(bigC(product(a,c),a,b),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),b,a),bigC(product(a,c),a,b)) )],[refute_0_21188,refute_0_21191]) ).

cnf(refute_0_21193,plain,
    product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) = product(bigC(product(a,c),b,a),product(X_22,b)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(a)),bind(X_65,$fot(X_22)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_21194,plain,
    ( product(bigC(product(a,c),b,a),product(X_22,b)) != product(bigC(product(a,c),a,b),product(X_22,b))
    | product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) != product(bigC(product(a,c),b,a),product(X_22,b))
    | product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) = product(bigC(product(a,c),a,b),product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)))),bind(Y,$fot(product(bigC(product(a,c),b,a),product(X_22,b)))),bind(Z,$fot(product(bigC(product(a,c),a,b),product(X_22,b))))]]) ).

cnf(refute_0_21195,plain,
    ( product(bigC(product(a,c),b,a),product(X_22,b)) != product(bigC(product(a,c),a,b),product(X_22,b))
    | product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) = product(bigC(product(a,c),a,b),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)),product(bigC(product(a,c),b,a),product(X_22,b))) )],[refute_0_21193,refute_0_21194]) ).

cnf(refute_0_21196,plain,
    product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) = product(bigC(product(a,c),a,b),product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),b,a),product(X_22,b)),product(bigC(product(a,c),a,b),product(X_22,b))) )],[refute_0_21192,refute_0_21195]) ).

cnf(refute_0_21197,plain,
    ( bigC(product(product(a,c),b),X_22,product(a,b)) != product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))
    | product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)) != product(bigC(product(a,c),a,b),product(X_22,b))
    | bigC(product(product(a,c),b),X_22,product(a,b)) = product(bigC(product(a,c),a,b),product(X_22,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(product(a,c),b),X_22,product(a,b)),product(bigC(product(a,c),a,b),product(X_22,b))) ),[0],$fot(product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)))]]) ).

cnf(refute_0_21198,plain,
    ( bigC(product(product(a,c),b),X_22,product(a,b)) != product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))
    | bigC(product(product(a,c),b),X_22,product(a,b)) = product(bigC(product(a,c),a,b),product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b)),product(bigC(product(a,c),a,b),product(X_22,b))) )],[refute_0_21196,refute_0_21197]) ).

cnf(refute_0_21199,plain,
    bigC(product(product(a,c),b),X_22,product(a,b)) = product(bigC(product(a,c),a,b),product(X_22,b)),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),b),X_22,product(a,b)),product(product(product(product(a,c),b),X_22),product(product(a,product(a,c)),b))) )],[refute_0_21187,refute_0_21198]) ).

cnf(refute_0_21200,plain,
    bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)) = product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),
    inference(subst,[],[refute_0_21199:[bind(X_22,$fot(product(product(a,c),b)))]]) ).

cnf(refute_0_21201,plain,
    ( bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)) != product(bigC(product(a,c),a,b),product(product(product(a,c),b),b))
    | quotient(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(a,c),b)) != product(product(product(a,c),b),product(a,b))
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(a,c),b)),product(product(product(a,c),b),product(a,b))) ),[0,0],$fot(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_21202,plain,
    ( quotient(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(a,c),b)) != product(product(product(a,c),b),product(a,b))
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(bigC(product(a,c),a,b),product(product(product(a,c),b),b))) )],[refute_0_21200,refute_0_21201]) ).

cnf(refute_0_21203,plain,
    quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = product(product(product(a,c),b),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(a,c),b)),product(product(product(a,c),b),product(a,b))) )],[refute_0_21165,refute_0_21202]) ).

cnf(refute_0_21204,plain,
    product(bigC(a,c,a),product(b,b)) = product(bigC(a,c,a),product(b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,a),product(b,b)))]]) ).

cnf(refute_0_21205,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(b,b)) != product(bigC(a,c,a),product(b,b))
    | product(bigC(a,c,a),product(b,b)) = product(bigC(a,a,c),product(b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,a),product(b,b)),product(bigC(a,c,a),product(b,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_21206,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(bigC(a,c,a),product(b,b)) = product(bigC(a,a,c),product(b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,b)),product(bigC(a,c,a),product(b,b))) )],[refute_0_21204,refute_0_21205]) ).

cnf(refute_0_21207,plain,
    product(bigC(a,c,a),product(b,b)) = product(bigC(a,a,c),product(b,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_21206]) ).

cnf(refute_0_21208,plain,
    ( product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),b)
    | product(bigC(a,c,a),product(b,b)) != product(bigC(a,a,c),product(b,b))
    | product(bigC(a,c,a),product(b,b)) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,a),product(b,b)))),bind(Y,$fot(product(bigC(a,a,c),product(b,b)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_21209,plain,
    ( product(bigC(a,a,c),product(b,b)) != product(bigC(a,a,c),b)
    | product(bigC(a,c,a),product(b,b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,b)),product(bigC(a,a,c),product(b,b))) )],[refute_0_21207,refute_0_21208]) ).

cnf(refute_0_21210,plain,
    product(bigC(a,c,a),product(b,b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,b)),product(bigC(a,a,c),b)) )],[refute_0_5721,refute_0_21209]) ).

cnf(refute_0_21211,plain,
    product(product(product(a,c),b),product(a,b)) = product(bigC(a,c,a),product(b,b)),
    inference(subst,[],[refute_0_1208:[bind(B,$fot(b)),bind(C,$fot(a)),bind(D,$fot(b)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_21212,plain,
    ( product(bigC(a,c,a),product(b,b)) != product(bigC(a,a,c),b)
    | product(product(product(a,c),b),product(a,b)) != product(bigC(a,c,a),product(b,b))
    | product(product(product(a,c),b),product(a,b)) = product(bigC(a,a,c),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(a,b)))),bind(Y,$fot(product(bigC(a,c,a),product(b,b)))),bind(Z,$fot(product(bigC(a,a,c),b)))]]) ).

cnf(refute_0_21213,plain,
    ( product(bigC(a,c,a),product(b,b)) != product(bigC(a,a,c),b)
    | product(product(product(a,c),b),product(a,b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,b)),product(bigC(a,c,a),product(b,b))) )],[refute_0_21211,refute_0_21212]) ).

cnf(refute_0_21214,plain,
    product(product(product(a,c),b),product(a,b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,a),product(b,b)),product(bigC(a,a,c),b)) )],[refute_0_21210,refute_0_21213]) ).

cnf(refute_0_21215,plain,
    ( product(product(product(a,c),b),product(a,b)) != product(bigC(a,a,c),b)
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(a,b))
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),product(product(product(a,c),b),product(a,b))) ),[1],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_21216,plain,
    ( quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) != product(product(product(a,c),b),product(a,b))
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(a,b)),product(bigC(a,a,c),b)) )],[refute_0_21214,refute_0_21215]) ).

cnf(refute_0_21217,plain,
    quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),product(product(product(a,c),b),product(a,b))) )],[refute_0_21203,refute_0_21216]) ).

cnf(refute_0_21218,plain,
    bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)) = product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(a,c),b))),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_21219,plain,
    ( bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)) != product(bigC(product(a,c),a,b),product(product(product(a,c),b),b))
    | bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)) != product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))
    | product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) = product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))) ),[0],$fot(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_21220,plain,
    ( bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)) != product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))
    | product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) = product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(bigC(product(a,c),a,b),product(product(product(a,c),b),b))) )],[refute_0_21200,refute_0_21219]) ).

cnf(refute_0_21221,plain,
    product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) = product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(a,c),b),product(product(a,c),b),product(a,b)),product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))) )],[refute_0_21218,refute_0_21220]) ).

cnf(refute_0_21222,plain,
    product(product(a,bigC(a,a,b)),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),bigC(b,b,b)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,a,b)),bigC(b,b,b)))]]) ).

cnf(refute_0_21223,plain,
    ( bigC(b,b,b) != b
    | product(product(a,bigC(a,a,b)),bigC(b,b,b)) != product(product(a,bigC(a,a,b)),bigC(b,b,b))
    | product(product(a,bigC(a,a,b)),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,b)),bigC(b,b,b)),product(product(a,bigC(a,a,b)),bigC(b,b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_21224,plain,
    ( bigC(b,b,b) != b
    | product(product(a,bigC(a,a,b)),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),bigC(b,b,b)),product(product(a,bigC(a,a,b)),bigC(b,b,b))) )],[refute_0_21222,refute_0_21223]) ).

cnf(refute_0_21225,plain,
    product(product(a,bigC(a,a,b)),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),b),
    inference(resolve,[$cnf( $equal(bigC(b,b,b),b) )],[refute_0_3563,refute_0_21224]) ).

cnf(refute_0_21226,plain,
    product(a,bigC(c,c,a)) = product(a,bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(a,bigC(c,c,a)))]]) ).

cnf(refute_0_21227,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(a,bigC(c,c,a)) != product(a,bigC(c,c,a))
    | product(a,bigC(c,c,a)) = product(a,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,c,a)),product(a,bigC(c,c,a))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_21228,plain,
    ( bigC(c,c,a) != bigC(a,a,b)
    | product(a,bigC(c,c,a)) = product(a,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,c,a)),product(a,bigC(c,c,a))) )],[refute_0_21226,refute_0_21227]) ).

cnf(refute_0_21229,plain,
    product(a,bigC(c,c,a)) = product(a,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,a),bigC(a,a,b)) )],[refute_0_2619,refute_0_21228]) ).

cnf(refute_0_21230,plain,
    product(product(a,a),bigC(c,c,a)) = product(product(a,a),bigC(c,c,a)),
    introduced(tautology,[refl,[$fot(product(product(a,a),bigC(c,c,a)))]]) ).

cnf(refute_0_21231,plain,
    ( product(a,a) != a
    | product(product(a,a),bigC(c,c,a)) != product(product(a,a),bigC(c,c,a))
    | product(product(a,a),bigC(c,c,a)) = product(a,bigC(c,c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),bigC(c,c,a)),product(product(a,a),bigC(c,c,a))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_21232,plain,
    ( product(a,a) != a
    | product(product(a,a),bigC(c,c,a)) = product(a,bigC(c,c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(c,c,a)),product(product(a,a),bigC(c,c,a))) )],[refute_0_21230,refute_0_21231]) ).

cnf(refute_0_21233,plain,
    product(product(a,a),bigC(c,c,a)) = product(a,bigC(c,c,a)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_21232]) ).

cnf(refute_0_21234,plain,
    ( product(a,bigC(c,c,a)) != product(a,bigC(a,a,b))
    | product(product(a,a),bigC(c,c,a)) != product(a,bigC(c,c,a))
    | product(product(a,a),bigC(c,c,a)) = product(a,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,a),bigC(c,c,a)))),bind(Y,$fot(product(a,bigC(c,c,a)))),bind(Z,$fot(product(a,bigC(a,a,b))))]]) ).

cnf(refute_0_21235,plain,
    ( product(a,bigC(c,c,a)) != product(a,bigC(a,a,b))
    | product(product(a,a),bigC(c,c,a)) = product(a,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(c,c,a)),product(a,bigC(c,c,a))) )],[refute_0_21233,refute_0_21234]) ).

cnf(refute_0_21236,plain,
    product(product(a,a),bigC(c,c,a)) = product(a,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,c,a)),product(a,bigC(a,a,b))) )],[refute_0_21229,refute_0_21235]) ).

cnf(refute_0_21237,plain,
    bigC(product(a,c),product(a,c),a) = product(product(a,a),bigC(c,c,a)),
    inference(subst,[],[refute_0_334:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c))]]) ).

cnf(refute_0_21238,plain,
    ( bigC(product(a,c),product(a,c),a) != product(product(a,a),bigC(c,c,a))
    | product(product(a,a),bigC(c,c,a)) != product(a,bigC(a,a,b))
    | bigC(product(a,c),product(a,c),a) = product(a,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,c),product(a,c),a))),bind(Y,$fot(product(product(a,a),bigC(c,c,a)))),bind(Z,$fot(product(a,bigC(a,a,b))))]]) ).

cnf(refute_0_21239,plain,
    ( product(product(a,a),bigC(c,c,a)) != product(a,bigC(a,a,b))
    | bigC(product(a,c),product(a,c),a) = product(a,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),a),product(product(a,a),bigC(c,c,a))) )],[refute_0_21237,refute_0_21238]) ).

cnf(refute_0_21240,plain,
    bigC(product(a,c),product(a,c),a) = product(a,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),bigC(c,c,a)),product(a,bigC(a,a,b))) )],[refute_0_21236,refute_0_21239]) ).

cnf(refute_0_21241,plain,
    product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)))]]) ).

cnf(refute_0_21242,plain,
    ( bigC(product(a,c),product(a,c),a) != product(a,bigC(a,a,b))
    | product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) != product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))
    | product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),bigC(b,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))) ),[1,0],$fot(product(a,bigC(a,a,b)))]]) ).

cnf(refute_0_21243,plain,
    ( bigC(product(a,c),product(a,c),a) != product(a,bigC(a,a,b))
    | product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),bigC(b,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))) )],[refute_0_21241,refute_0_21242]) ).

cnf(refute_0_21244,plain,
    product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),bigC(b,b,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,c),a),product(a,bigC(a,a,b))) )],[refute_0_21240,refute_0_21243]) ).

cnf(refute_0_21245,plain,
    ( product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) != product(product(a,bigC(a,a,b)),bigC(b,b,b))
    | product(product(a,bigC(a,a,b)),bigC(b,b,b)) != product(product(a,bigC(a,a,b)),b)
    | product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)))),bind(Y,$fot(product(product(a,bigC(a,a,b)),bigC(b,b,b)))),bind(Z,$fot(product(product(a,bigC(a,a,b)),b)))]]) ).

cnf(refute_0_21246,plain,
    ( product(product(a,bigC(a,a,b)),bigC(b,b,b)) != product(product(a,bigC(a,a,b)),b)
    | product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),product(product(a,bigC(a,a,b)),bigC(b,b,b))) )],[refute_0_21244,refute_0_21245]) ).

cnf(refute_0_21247,plain,
    product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) = product(product(a,bigC(a,a,b)),b),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),bigC(b,b,b)),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21225,refute_0_21246]) ).

cnf(refute_0_21248,plain,
    product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c))) = product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(a)),bind(B,$fot(product(a,c))),bind(C,$fot(b)),bind(D,$fot(b))]]) ).

cnf(refute_0_21249,plain,
    product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c))),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(a,c))),bind(B,$fot(b)),bind(C,$fot(product(a,b))),bind(X_84,$fot(product(a,c)))]]) ).

cnf(refute_0_21250,plain,
    ( product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) != product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c)))
    | product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c))) != product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))
    | product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))))),bind(Y,$fot(product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c))))),bind(Z,$fot(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))))]]) ).

cnf(refute_0_21251,plain,
    ( product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c))) != product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))
    | product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))),product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c)))) )],[refute_0_21249,refute_0_21250]) ).

cnf(refute_0_21252,plain,
    product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(a,b)),bigC(b,b,product(a,c))),product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))) )],[refute_0_21248,refute_0_21251]) ).

cnf(refute_0_21253,plain,
    ( product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) != product(product(a,bigC(a,a,b)),b)
    | product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) != product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))
    | product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(product(a,bigC(a,a,b)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))))),bind(Y,$fot(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)))),bind(Z,$fot(product(product(a,bigC(a,a,b)),b)))]]) ).

cnf(refute_0_21254,plain,
    ( product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)) != product(product(a,bigC(a,a,b)),b)
    | product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(product(a,bigC(a,a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))),product(bigC(product(a,c),product(a,c),a),bigC(b,b,b))) )],[refute_0_21252,refute_0_21253]) ).

cnf(refute_0_21255,plain,
    product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) = product(product(a,bigC(a,a,b)),b),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),product(a,c),a),bigC(b,b,b)),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21247,refute_0_21254]) ).

cnf(refute_0_21256,plain,
    ( product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) != product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))
    | product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))) != product(product(a,bigC(a,a,b)),b)
    | product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) = product(product(a,bigC(a,a,b)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,bigC(a,a,b)),b)) ),[0],$fot(product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))))]]) ).

cnf(refute_0_21257,plain,
    ( product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) != product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))
    | product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) = product(product(a,bigC(a,a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(a,b),product(product(a,c),b))),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21255,refute_0_21256]) ).

cnf(refute_0_21258,plain,
    product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) = product(product(a,bigC(a,a,b)),b),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(product(a,c),b),product(product(a,b),product(product(a,c),b)))) )],[refute_0_21221,refute_0_21257]) ).

cnf(refute_0_21259,plain,
    quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),
    introduced(tautology,[refl,[$fot(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)))]]) ).

cnf(refute_0_21260,plain,
    ( product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) != product(product(a,bigC(a,a,b)),b)
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) != quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b))
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b))) ),[1,0],$fot(product(product(a,bigC(a,a,b)),b))]]) ).

cnf(refute_0_21261,plain,
    ( product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)) != product(product(a,bigC(a,a,b)),b)
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b))) )],[refute_0_21259,refute_0_21260]) ).

cnf(refute_0_21262,plain,
    quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) = quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21258,refute_0_21261]) ).

cnf(refute_0_21263,plain,
    ( quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) != product(bigC(a,a,c),b)
    | quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) != quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b))
    | quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)) = product(bigC(a,a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),product(bigC(a,a,c),b)) ),[0],$fot(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)))]]) ).

cnf(refute_0_21264,plain,
    ( quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)) != product(bigC(a,a,c),b)
    | quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)) = product(bigC(a,a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b))) )],[refute_0_21262,refute_0_21263]) ).

cnf(refute_0_21265,plain,
    quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)) = product(bigC(a,a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(product(a,c),a,b),product(product(product(a,c),b),b)),product(product(a,c),b)),product(bigC(a,a,c),b)) )],[refute_0_21217,refute_0_21264]) ).

cnf(refute_0_21266,plain,
    ( product(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),b)
    | quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)) != product(bigC(a,a,c),b)
    | product(product(bigC(a,a,c),b),product(product(a,c),b)) = product(product(a,bigC(a,a,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),product(product(a,c),b)),product(product(a,bigC(a,a,b)),b)) ),[0,0],$fot(product(bigC(a,a,c),b))]]) ).

cnf(refute_0_21267,plain,
    ( product(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),b)
    | product(product(bigC(a,a,c),b),product(product(a,c),b)) = product(product(a,bigC(a,a,b)),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),product(bigC(a,a,c),b)) )],[refute_0_21265,refute_0_21266]) ).

cnf(refute_0_21268,plain,
    product(product(bigC(a,a,c),b),product(product(a,c),b)) = product(product(a,bigC(a,a,b)),b),
    inference(resolve,[$cnf( $equal(product(quotient(product(product(a,bigC(a,a,b)),b),product(product(a,c),b)),product(product(a,c),b)),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21164,refute_0_21267]) ).

cnf(refute_0_21269,plain,
    product(product(bigC(a,a,c),b),product(product(a,c),b)) = product(product(bigC(a,a,c),product(a,c)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(a,a,c))),bind(X_64,$fot(product(a,c))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_21270,plain,
    ( product(product(bigC(a,a,c),b),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),b)
    | product(product(bigC(a,a,c),b),product(product(a,c),b)) != product(product(bigC(a,a,c),product(a,c)),b)
    | product(product(bigC(a,a,c),product(a,c)),b) = product(product(a,bigC(a,a,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),b),product(product(a,c),b)),product(product(a,bigC(a,a,b)),b)) ),[0],$fot(product(product(bigC(a,a,c),product(a,c)),b))]]) ).

cnf(refute_0_21271,plain,
    ( product(product(bigC(a,a,c),b),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),b)
    | product(product(bigC(a,a,c),product(a,c)),b) = product(product(a,bigC(a,a,b)),b) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),product(product(a,c),b)),product(product(bigC(a,a,c),product(a,c)),b)) )],[refute_0_21269,refute_0_21270]) ).

cnf(refute_0_21272,plain,
    product(product(bigC(a,a,c),product(a,c)),b) = product(product(a,bigC(a,a,b)),b),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),b),product(product(a,c),b)),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21268,refute_0_21271]) ).

cnf(refute_0_21273,plain,
    ( product(product(bigC(a,a,c),product(a,c)),b) != product(product(a,bigC(a,a,b)),b)
    | quotient(product(product(bigC(a,a,c),product(a,c)),b),b) != product(bigC(a,a,c),product(a,c))
    | quotient(product(product(a,bigC(a,a,b)),b),b) = product(bigC(a,a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(bigC(a,a,c),product(a,c)),b),b),product(bigC(a,a,c),product(a,c))) ),[0,0],$fot(product(product(a,bigC(a,a,b)),b))]]) ).

cnf(refute_0_21274,plain,
    ( quotient(product(product(bigC(a,a,c),product(a,c)),b),b) != product(bigC(a,a,c),product(a,c))
    | quotient(product(product(a,bigC(a,a,b)),b),b) = product(bigC(a,a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(a,c)),b),product(product(a,bigC(a,a,b)),b)) )],[refute_0_21272,refute_0_21273]) ).

cnf(refute_0_21275,plain,
    quotient(product(product(a,bigC(a,a,b)),b),b) = product(bigC(a,a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(bigC(a,a,c),product(a,c)),b),b),product(bigC(a,a,c),product(a,c))) )],[refute_0_21163,refute_0_21274]) ).

cnf(refute_0_21276,plain,
    quotient(product(product(a,bigC(a,a,b)),b),b) = product(a,bigC(a,a,b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(a,bigC(a,a,b)))),bind(B,$fot(b))]]) ).

cnf(refute_0_21277,plain,
    ( quotient(product(product(a,bigC(a,a,b)),b),b) != product(a,bigC(a,a,b))
    | quotient(product(product(a,bigC(a,a,b)),b),b) != product(bigC(a,a,c),product(a,c))
    | product(a,bigC(a,a,b)) = product(bigC(a,a,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,bigC(a,a,b)),b),b),product(bigC(a,a,c),product(a,c))) ),[0],$fot(product(a,bigC(a,a,b)))]]) ).

cnf(refute_0_21278,plain,
    ( quotient(product(product(a,bigC(a,a,b)),b),b) != product(bigC(a,a,c),product(a,c))
    | product(a,bigC(a,a,b)) = product(bigC(a,a,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(a,a,b)),b),b),product(a,bigC(a,a,b))) )],[refute_0_21276,refute_0_21277]) ).

cnf(refute_0_21279,plain,
    product(a,bigC(a,a,b)) = product(bigC(a,a,c),product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,bigC(a,a,b)),b),b),product(bigC(a,a,c),product(a,c))) )],[refute_0_21275,refute_0_21278]) ).

cnf(refute_0_21280,plain,
    ( product(a,bigC(a,a,b)) != product(bigC(a,a,c),product(a,c))
    | product(bigC(a,a,c),product(a,c)) = product(a,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(a,a,b)))),bind(Y,$fot(product(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21281,plain,
    product(bigC(a,a,c),product(a,c)) = product(a,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(a,bigC(a,a,b)),product(bigC(a,a,c),product(a,c))) )],[refute_0_21279,refute_0_21280]) ).

cnf(refute_0_21282,plain,
    ( product(bigC(a,a,c),product(a,c)) != product(a,bigC(a,a,b))
    | product(product(bigC(a,a,c),B),product(product(a,c),D)) != product(product(bigC(a,a,c),product(a,c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(product(a,c),D)) = product(product(a,bigC(a,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(a,c),D)),product(product(bigC(a,a,c),product(a,c)),product(B,D))) ),[1,0],$fot(product(a,bigC(a,a,b)))]]) ).

cnf(refute_0_21283,plain,
    ( product(product(bigC(a,a,c),B),product(product(a,c),D)) != product(product(bigC(a,a,c),product(a,c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(product(a,c),D)) = product(product(a,bigC(a,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,c)),product(a,bigC(a,a,b))) )],[refute_0_21281,refute_0_21282]) ).

cnf(refute_0_21284,plain,
    product(product(bigC(a,a,c),B),product(product(a,c),D)) = product(product(a,bigC(a,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(a,c),D)),product(product(bigC(a,a,c),product(a,c)),product(B,D))) )],[refute_0_21162,refute_0_21283]) ).

cnf(refute_0_21285,plain,
    product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)),
    inference(subst,[],[refute_0_21284:[bind(B,$fot(product(product(a,c),b))),bind(D,$fot(b))]]) ).

cnf(refute_0_21286,plain,
    ( product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))))),bind(Y,$fot(product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)))),bind(Z,$fot(product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))))]]) ).

cnf(refute_0_21287,plain,
    ( product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))),product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b))) )],[refute_0_21158,refute_0_21286]) ).

cnf(refute_0_21288,plain,
    quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(product(a,c),b)),product(product(a,c),b)),product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))) )],[refute_0_21285,refute_0_21287]) ).

cnf(refute_0_21289,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))
    | quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(a,product(c,b)),product(product(a,c),b))
    | product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) = product(product(a,product(c,b)),product(product(a,c),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))),product(product(a,product(c,b)),product(product(a,c),b))) ),[0],$fot(product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)))]]) ).

cnf(refute_0_21290,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(a,product(c,b)),product(product(a,c),b))
    | product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) = product(product(a,product(c,b)),product(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))),product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))) )],[refute_0_21288,refute_0_21289]) ).

cnf(refute_0_21291,plain,
    product(product(a,product(c,b)),product(product(a,c),b)) = product(product(a,product(a,c)),product(product(c,b),b)),
    inference(subst,[],[refute_0_5268:[bind(B,$fot(product(a,c))),bind(D,$fot(b))]]) ).

cnf(refute_0_21292,plain,
    ( product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) != product(product(a,product(c,b)),product(product(a,c),b))
    | product(product(a,product(c,b)),product(product(a,c),b)) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)),product(product(a,product(a,c)),product(product(c,b),b))) ),[0],$fot(product(product(a,product(c,b)),product(product(a,c),b)))]]) ).

cnf(refute_0_21293,plain,
    ( product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) != product(product(a,product(c,b)),product(product(a,c),b))
    | product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(product(a,c),b)),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21291,refute_0_21292]) ).

cnf(refute_0_21294,plain,
    ( quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))) != product(product(a,product(c,b)),product(product(a,c),b))
    | product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)),product(product(a,product(c,b)),product(product(a,c),b))) )],[refute_0_21290,refute_0_21293]) ).

cnf(refute_0_21295,plain,
    product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) = product(product(a,product(a,c)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),b),product(product(product(a,c),b),product(product(product(a,c),b),bigC(a,a,c)))),product(product(a,product(c,b)),product(product(a,c),b))) )],[refute_0_21161,refute_0_21294]) ).

cnf(refute_0_21296,plain,
    product(quotient(c,bigC(a,a,c)),b) = product(quotient(c,bigC(a,a,c)),b),
    introduced(tautology,[refl,[$fot(product(quotient(c,bigC(a,a,c)),b))]]) ).

cnf(refute_0_21297,plain,
    ( product(quotient(c,bigC(a,a,c)),b) != product(quotient(c,bigC(a,a,c)),b)
    | quotient(c,bigC(a,a,c)) != product(product(a,c),b)
    | product(quotient(c,bigC(a,a,c)),b) = product(product(product(a,c),b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(a,a,c)),b),product(quotient(c,bigC(a,a,c)),b)) ),[1,0],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_21298,plain,
    ( quotient(c,bigC(a,a,c)) != product(product(a,c),b)
    | product(quotient(c,bigC(a,a,c)),b) = product(product(product(a,c),b),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,a,c)),b),product(quotient(c,bigC(a,a,c)),b)) )],[refute_0_21296,refute_0_21297]) ).

cnf(refute_0_21299,plain,
    product(quotient(c,bigC(a,a,c)),b) = product(product(product(a,c),b),b),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,a,c)),product(product(a,c),b)) )],[refute_0_15211,refute_0_21298]) ).

cnf(refute_0_21300,plain,
    product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)),
    introduced(tautology,[refl,[$fot(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)))]]) ).

cnf(refute_0_21301,plain,
    ( product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) != product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b))
    | product(quotient(c,bigC(a,a,c)),b) != product(product(product(a,c),b),b)
    | product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)),product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b))) ),[1,1],$fot(product(product(product(a,c),b),b))]]) ).

cnf(refute_0_21302,plain,
    ( product(quotient(c,bigC(a,a,c)),b) != product(product(product(a,c),b),b)
    | product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)),product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b))) )],[refute_0_21300,refute_0_21301]) ).

cnf(refute_0_21303,plain,
    product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,a,c)),b),product(product(product(a,c),b),b)) )],[refute_0_21299,refute_0_21302]) ).

cnf(refute_0_21304,plain,
    ( product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) != product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))
    | product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)))),bind(Y,$fot(product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)))),bind(Z,$fot(product(product(a,product(a,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_21305,plain,
    ( product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)),product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b))) )],[refute_0_21303,refute_0_21304]) ).

cnf(refute_0_21306,plain,
    product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) = product(product(a,product(a,c)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(product(product(a,c),b),b)),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21295,refute_0_21305]) ).

cnf(refute_0_21307,plain,
    product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) = product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)),
    inference(subst,[],[refute_0_21284:[bind(B,$fot(quotient(c,bigC(a,a,c)))),bind(D,$fot(b))]]) ).

cnf(refute_0_21308,plain,
    ( product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) != product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b))
    | product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)))),bind(Y,$fot(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)))),bind(Z,$fot(product(product(a,product(a,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_21309,plain,
    ( product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)),product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b))) )],[refute_0_21307,refute_0_21308]) ).

cnf(refute_0_21310,plain,
    product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) = product(product(a,product(a,c)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(product(a,bigC(a,a,b)),product(quotient(c,bigC(a,a,c)),b)),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21306,refute_0_21309]) ).

cnf(refute_0_21311,plain,
    ( product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))
    | product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(product(a,product(a,c)),product(product(c,b),b))) ),[0],$fot(product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)))]]) ).

cnf(refute_0_21312,plain,
    ( product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b)),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21310,refute_0_21311]) ).

cnf(refute_0_21313,plain,
    ( quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)) != product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))) )],[refute_0_21157,refute_0_21312]) ).

cnf(refute_0_21314,plain,
    product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(product(a,product(a,c)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,bigC(a,a,c)),product(quotient(c,bigC(a,a,c)),c)),product(product(bigC(a,a,c),quotient(c,bigC(a,a,c))),product(product(a,c),b))) )],[refute_0_21154,refute_0_21313]) ).

cnf(refute_0_21315,plain,
    difference(bigC(a,a,c),difference(c,bigC(a,a,c))) = difference(bigC(a,a,c),difference(c,bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(bigC(a,a,c),difference(c,bigC(a,a,c))))]]) ).

cnf(refute_0_21316,plain,
    ( difference(bigC(a,a,c),difference(c,bigC(a,a,c))) != difference(bigC(a,a,c),difference(c,bigC(a,a,c)))
    | difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(bigC(a,a,c),difference(c,bigC(a,a,c))) = difference(bigC(a,a,c),difference(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),difference(bigC(a,a,c),difference(c,bigC(a,a,c)))) ),[1,1],$fot(difference(product(c,a),a))]]) ).

cnf(refute_0_21317,plain,
    ( difference(c,bigC(a,a,c)) != difference(product(c,a),a)
    | difference(bigC(a,a,c),difference(c,bigC(a,a,c))) = difference(bigC(a,a,c),difference(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),difference(bigC(a,a,c),difference(c,bigC(a,a,c)))) )],[refute_0_21315,refute_0_21316]) ).

cnf(refute_0_21318,plain,
    difference(bigC(a,a,c),difference(c,bigC(a,a,c))) = difference(bigC(a,a,c),difference(product(c,a),a)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,a,c)),difference(product(c,a),a)) )],[refute_0_15441,refute_0_21317]) ).

cnf(refute_0_21319,plain,
    product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),
    introduced(tautology,[refl,[$fot(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c))]]) ).

cnf(refute_0_21320,plain,
    ( difference(bigC(a,a,c),difference(c,bigC(a,a,c))) != difference(bigC(a,a,c),difference(product(c,a),a))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) != product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c)
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(difference(bigC(a,a,c),difference(product(c,a),a)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c)) ),[1,0],$fot(difference(bigC(a,a,c),difference(product(c,a),a)))]]) ).

cnf(refute_0_21321,plain,
    ( difference(bigC(a,a,c),difference(c,bigC(a,a,c))) != difference(bigC(a,a,c),difference(product(c,a),a))
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(difference(bigC(a,a,c),difference(product(c,a),a)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c)) )],[refute_0_21319,refute_0_21320]) ).

cnf(refute_0_21322,plain,
    product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) = product(difference(bigC(a,a,c),difference(product(c,a),a)),c),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),difference(bigC(a,a,c),difference(product(c,a),a))) )],[refute_0_21318,refute_0_21321]) ).

cnf(refute_0_21323,plain,
    ( product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) != product(difference(bigC(a,a,c),difference(product(c,a),a)),c)
    | product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(difference(bigC(a,a,c),difference(product(c,a),a)),c) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(product(a,product(a,c)),product(product(c,b),b))) ),[0],$fot(product(difference(bigC(a,a,c),difference(product(c,a),a)),c))]]) ).

cnf(refute_0_21324,plain,
    ( product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c) != product(product(a,product(a,c)),product(product(c,b),b))
    | product(difference(bigC(a,a,c),difference(product(c,a),a)),c) = product(product(a,product(a,c)),product(product(c,b),b)) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(difference(bigC(a,a,c),difference(product(c,a),a)),c)) )],[refute_0_21322,refute_0_21323]) ).

cnf(refute_0_21325,plain,
    product(difference(bigC(a,a,c),difference(product(c,a),a)),c) = product(product(a,product(a,c)),product(product(c,b),b)),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),difference(c,bigC(a,a,c))),c),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21314,refute_0_21324]) ).

cnf(refute_0_21326,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(c,product(difference(bigC(a,a,c),difference(product(c,a),a)),c))
    | product(difference(bigC(a,a,c),difference(product(c,a),a)),c) != product(product(a,product(a,c)),product(product(c,b),b))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(product(a,product(a,c)),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(c,product(difference(bigC(a,a,c),difference(product(c,a),a)),c))) ),[1,1],$fot(product(product(a,product(a,c)),product(product(c,b),b)))]]) ).

cnf(refute_0_21327,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(c,product(difference(bigC(a,a,c),difference(product(c,a),a)),c))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(product(a,product(a,c)),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),difference(product(c,a),a)),c),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21325,refute_0_21326]) ).

cnf(refute_0_21328,plain,
    bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(product(a,product(a,c)),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(c,product(difference(bigC(a,a,c),difference(product(c,a),a)),c))) )],[refute_0_21150,refute_0_21327]) ).

cnf(refute_0_21329,plain,
    ( product(difference(b,c),product(c,product(c,b))) != product(a,quotient(b,bigC(b,b,c)))
    | product(difference(b,c),product(product(a,b),c)) != product(difference(b,c),product(c,product(c,b)))
    | product(difference(b,c),product(product(a,b),c)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(b,c),product(product(a,b),c)))),bind(Y,$fot(product(difference(b,c),product(c,product(c,b))))),bind(Z,$fot(product(a,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_21330,plain,
    ( product(difference(b,c),product(c,product(c,b))) != product(a,quotient(b,bigC(b,b,c)))
    | product(difference(b,c),product(product(a,b),c)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(product(a,b),c)),product(difference(b,c),product(c,product(c,b)))) )],[refute_0_19468,refute_0_21329]) ).

cnf(refute_0_21331,plain,
    product(difference(b,c),product(product(a,b),c)) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(c,product(c,b))),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_19485,refute_0_21330]) ).

cnf(refute_0_21332,plain,
    product(product(A,C),product(product(B,D),X_138)) = product(product(product(A,C),product(B,D)),product(product(A,C),X_138)),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(product(A,C))),bind(X_65,$fot(product(B,D))),bind(X_66,$fot(X_138))]]) ).

cnf(refute_0_21333,plain,
    ( product(product(A,C),product(B,D)) != product(product(A,B),product(C,D))
    | product(product(A,C),product(product(B,D),X_138)) != product(product(product(A,C),product(B,D)),product(product(A,C),X_138))
    | product(product(A,C),product(product(B,D),X_138)) = product(product(product(A,B),product(C,D)),product(product(A,C),X_138)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,C),product(product(B,D),X_138)),product(product(product(A,C),product(B,D)),product(product(A,C),X_138))) ),[1,0],$fot(product(product(A,B),product(C,D)))]]) ).

cnf(refute_0_21334,plain,
    ( product(product(A,C),product(product(B,D),X_138)) != product(product(product(A,C),product(B,D)),product(product(A,C),X_138))
    | product(product(A,C),product(product(B,D),X_138)) = product(product(product(A,B),product(C,D)),product(product(A,C),X_138)) ),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(B,D)),product(product(A,B),product(C,D))) )],[refute_0_35,refute_0_21333]) ).

cnf(refute_0_21335,plain,
    product(product(A,C),product(product(B,D),X_138)) = product(product(product(A,B),product(C,D)),product(product(A,C),X_138)),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(B,D),X_138)),product(product(product(A,C),product(B,D)),product(product(A,C),X_138))) )],[refute_0_21332,refute_0_21334]) ).

cnf(refute_0_21336,plain,
    product(product(product(A,B),product(C,D)),product(product(A,C),X_138)) = product(product(A,product(B,C)),product(product(C,D),X_138)),
    inference(subst,[],[refute_0_21130:[bind(B,$fot(product(C,D))),bind(D,$fot(X_138)),bind(X_136,$fot(A)),bind(X_137,$fot(B)),bind(X_138,$fot(C))]]) ).

cnf(refute_0_21337,plain,
    ( product(product(A,C),product(product(B,D),X_138)) != product(product(product(A,B),product(C,D)),product(product(A,C),X_138))
    | product(product(product(A,B),product(C,D)),product(product(A,C),X_138)) != product(product(A,product(B,C)),product(product(C,D),X_138))
    | product(product(A,C),product(product(B,D),X_138)) = product(product(A,product(B,C)),product(product(C,D),X_138)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(A,C),product(product(B,D),X_138)),product(product(A,product(B,C)),product(product(C,D),X_138))) ),[0],$fot(product(product(product(A,B),product(C,D)),product(product(A,C),X_138)))]]) ).

cnf(refute_0_21338,plain,
    ( product(product(A,C),product(product(B,D),X_138)) != product(product(product(A,B),product(C,D)),product(product(A,C),X_138))
    | product(product(A,C),product(product(B,D),X_138)) = product(product(A,product(B,C)),product(product(C,D),X_138)) ),
    inference(resolve,[$cnf( $equal(product(product(product(A,B),product(C,D)),product(product(A,C),X_138)),product(product(A,product(B,C)),product(product(C,D),X_138))) )],[refute_0_21336,refute_0_21337]) ).

cnf(refute_0_21339,plain,
    product(product(A,C),product(product(B,D),X_138)) = product(product(A,product(B,C)),product(product(C,D),X_138)),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(B,D),X_138)),product(product(product(A,B),product(C,D)),product(product(A,C),X_138))) )],[refute_0_21335,refute_0_21338]) ).

cnf(refute_0_21340,plain,
    ( product(product(A,C),product(product(B,D),X_138)) != product(product(A,product(B,C)),product(product(C,D),X_138))
    | product(product(A,product(B,C)),product(product(C,D),X_138)) = product(product(A,C),product(product(B,D),X_138)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,C),product(product(B,D),X_138)))),bind(Y,$fot(product(product(A,product(B,C)),product(product(C,D),X_138))))]]) ).

cnf(refute_0_21341,plain,
    product(product(A,product(B,C)),product(product(C,D),X_138)) = product(product(A,C),product(product(B,D),X_138)),
    inference(resolve,[$cnf( $equal(product(product(A,C),product(product(B,D),X_138)),product(product(A,product(B,C)),product(product(C,D),X_138))) )],[refute_0_21339,refute_0_21340]) ).

cnf(refute_0_21342,plain,
    product(product(a,product(a,c)),product(product(c,b),b)) = product(product(a,c),product(product(a,b),b)),
    inference(subst,[],[refute_0_21341:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b)),bind(X_138,$fot(b))]]) ).

cnf(refute_0_21343,plain,
    ( product(product(a,c),product(product(a,b),b)) != product(difference(b,c),product(product(a,b),c))
    | product(product(a,product(a,c)),product(product(c,b),b)) != product(product(a,c),product(product(a,b),b))
    | product(product(a,product(a,c)),product(product(c,b),b)) = product(difference(b,c),product(product(a,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(a,c)),product(product(c,b),b)))),bind(Y,$fot(product(product(a,c),product(product(a,b),b)))),bind(Z,$fot(product(difference(b,c),product(product(a,b),c))))]]) ).

cnf(refute_0_21344,plain,
    ( product(product(a,c),product(product(a,b),b)) != product(difference(b,c),product(product(a,b),c))
    | product(product(a,product(a,c)),product(product(c,b),b)) = product(difference(b,c),product(product(a,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),product(product(c,b),b)),product(product(a,c),product(product(a,b),b))) )],[refute_0_21342,refute_0_21343]) ).

cnf(refute_0_21345,plain,
    product(product(a,product(a,c)),product(product(c,b),b)) = product(difference(b,c),product(product(a,b),c)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(a,b),b)),product(difference(b,c),product(product(a,b),c))) )],[refute_0_19479,refute_0_21344]) ).

cnf(refute_0_21346,plain,
    ( product(difference(b,c),product(product(a,b),c)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,product(a,c)),product(product(c,b),b)) != product(difference(b,c),product(product(a,b),c))
    | product(product(a,product(a,c)),product(product(c,b),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(a,c)),product(product(c,b),b)))),bind(Y,$fot(product(difference(b,c),product(product(a,b),c)))),bind(Z,$fot(product(a,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_21347,plain,
    ( product(difference(b,c),product(product(a,b),c)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(a,product(a,c)),product(product(c,b),b)) = product(a,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),product(product(c,b),b)),product(difference(b,c),product(product(a,b),c))) )],[refute_0_21345,refute_0_21346]) ).

cnf(refute_0_21348,plain,
    product(product(a,product(a,c)),product(product(c,b),b)) = product(a,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(difference(b,c),product(product(a,b),c)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_21331,refute_0_21347]) ).

cnf(refute_0_21349,plain,
    product(c,product(product(a,product(a,c)),product(product(c,b),b))) = product(c,product(product(a,product(a,c)),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(a,product(a,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_21350,plain,
    ( product(c,product(product(a,product(a,c)),product(product(c,b),b))) != product(c,product(product(a,product(a,c)),product(product(c,b),b)))
    | product(product(a,product(a,c)),product(product(c,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(c,product(product(a,product(a,c)),product(product(c,b),b))) = product(c,product(a,quotient(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(a,product(a,c)),product(product(c,b),b))),product(c,product(product(a,product(a,c)),product(product(c,b),b)))) ),[1,1],$fot(product(a,quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21351,plain,
    ( product(product(a,product(a,c)),product(product(c,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(c,product(product(a,product(a,c)),product(product(c,b),b))) = product(c,product(a,quotient(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,product(a,c)),product(product(c,b),b))),product(c,product(product(a,product(a,c)),product(product(c,b),b)))) )],[refute_0_21349,refute_0_21350]) ).

cnf(refute_0_21352,plain,
    product(c,product(product(a,product(a,c)),product(product(c,b),b))) = product(c,product(a,quotient(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),product(product(c,b),b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_21348,refute_0_21351]) ).

cnf(refute_0_21353,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(c,product(product(a,product(a,c)),product(product(c,b),b)))
    | product(c,product(product(a,product(a,c)),product(product(c,b),b))) != product(c,product(a,quotient(b,bigC(b,b,c))))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(a,quotient(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(c,product(a,quotient(b,bigC(b,b,c))))) ),[0],$fot(product(c,product(product(a,product(a,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_21354,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(c,product(product(a,product(a,c)),product(product(c,b),b)))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(a,quotient(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,product(a,c)),product(product(c,b),b))),product(c,product(a,quotient(b,bigC(b,b,c))))) )],[refute_0_21352,refute_0_21353]) ).

cnf(refute_0_21355,plain,
    bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(c,product(a,quotient(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(c,product(product(a,product(a,c)),product(product(c,b),b)))) )],[refute_0_21328,refute_0_21354]) ).

cnf(refute_0_21356,plain,
    ( product(a,bigC(c,b,product(b,c))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(c,b,product(b,c))) != product(a,bigC(b,c,product(b,c)))
    | product(a,bigC(b,c,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) ),[0],$fot(product(a,bigC(b,c,product(b,c))))]]) ).

cnf(refute_0_21357,plain,
    ( product(a,bigC(c,b,product(b,c))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(b,c,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),product(a,bigC(b,c,product(b,c)))) )],[refute_0_13178,refute_0_21356]) ).

cnf(refute_0_21358,plain,
    product(a,bigC(b,c,product(b,c))) = bigC(product(a,c),product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(c,b,product(b,c))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) )],[refute_0_17262,refute_0_21357]) ).

cnf(refute_0_21359,plain,
    ( product(a,bigC(b,c,product(b,c))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(b,c,product(b,c))) != product(a,bigC(b,b,product(c,a)))
    | product(a,bigC(b,b,product(c,a))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) ),[0],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_21360,plain,
    ( product(a,bigC(b,c,product(b,c))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(b,b,product(c,a))) = bigC(product(a,c),product(a,b),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_12703,refute_0_21359]) ).

cnf(refute_0_21361,plain,
    product(a,bigC(b,b,product(c,a))) = bigC(product(a,c),product(a,b),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,c,product(b,c))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) )],[refute_0_21358,refute_0_21360]) ).

cnf(refute_0_21362,plain,
    bigC(product(a,c),product(a,b),product(a,product(b,c))) = product(product(a,product(a,product(b,c))),c),
    inference(subst,[],[refute_0_15161:[bind(X_23,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_21363,plain,
    ( bigC(product(a,c),product(a,b),product(a,product(b,c))) != product(product(a,product(a,product(b,c))),c)
    | product(a,bigC(b,b,product(c,a))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(b,b,product(c,a))) = product(product(a,product(a,product(b,c))),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) ),[1],$fot(product(product(a,product(a,product(b,c))),c))]]) ).

cnf(refute_0_21364,plain,
    ( product(a,bigC(b,b,product(c,a))) != bigC(product(a,c),product(a,b),product(a,product(b,c)))
    | product(a,bigC(b,b,product(c,a))) = product(product(a,product(a,product(b,c))),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),product(a,product(b,c))),product(product(a,product(a,product(b,c))),c)) )],[refute_0_21362,refute_0_21363]) ).

cnf(refute_0_21365,plain,
    product(a,bigC(b,b,product(c,a))) = product(product(a,product(a,product(b,c))),c),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),bigC(product(a,c),product(a,b),product(a,product(b,c)))) )],[refute_0_21361,refute_0_21364]) ).

cnf(refute_0_21366,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(product(a,product(a,product(b,c))),c)
    | product(product(a,product(a,product(b,c))),c) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(b,b,product(c,a))))),bind(Y,$fot(product(product(a,product(a,product(b,c))),c)))]]) ).

cnf(refute_0_21367,plain,
    product(product(a,product(a,product(b,c))),c) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),product(product(a,product(a,product(b,c))),c)) )],[refute_0_21365,refute_0_21366]) ).

cnf(refute_0_21368,plain,
    product(product(c,a),product(product(a,product(b,c)),b)) = product(product(a,product(a,product(b,c))),c),
    inference(subst,[],[refute_0_8194:[bind(X_22,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_21369,plain,
    ( product(product(a,product(a,product(b,c))),c) != product(a,bigC(b,b,product(c,a)))
    | product(product(c,a),product(product(a,product(b,c)),b)) != product(product(a,product(a,product(b,c))),c)
    | product(product(c,a),product(product(a,product(b,c)),b)) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(product(a,product(b,c)),b)))),bind(Y,$fot(product(product(a,product(a,product(b,c))),c))),bind(Z,$fot(product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_21370,plain,
    ( product(product(a,product(a,product(b,c))),c) != product(a,bigC(b,b,product(c,a)))
    | product(product(c,a),product(product(a,product(b,c)),b)) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,product(b,c)),b)),product(product(a,product(a,product(b,c))),c)) )],[refute_0_21368,refute_0_21369]) ).

cnf(refute_0_21371,plain,
    product(product(c,a),product(product(a,product(b,c)),b)) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,product(b,c))),c),product(a,bigC(b,b,product(c,a)))) )],[refute_0_21367,refute_0_21370]) ).

cnf(refute_0_21372,plain,
    product(product(A,c),product(C,quotient(b,bigC(b,b,c)))) = product(product(A,C),product(c,quotient(b,bigC(b,b,c)))),
    inference(subst,[],[sos05:[bind(B,$fot(c)),bind(D,$fot(quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21373,plain,
    bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(product(c,b),quotient(c,a)),product(c,b)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(product(c,b))),bind(X_22,$fot(quotient(c,a)))]]) ).

cnf(refute_0_21374,plain,
    ( bigC(product(c,b),quotient(c,a),product(c,b)) != product(product(product(c,b),quotient(c,a)),product(c,b))
    | product(product(c,b),quotient(c,a)) != product(c,product(quotient(c,a),b))
    | bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(c,product(quotient(c,a),b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),quotient(c,a),product(c,b)),product(product(product(c,b),quotient(c,a)),product(c,b))) ),[1,0],$fot(product(c,product(quotient(c,a),b)))]]) ).

cnf(refute_0_21375,plain,
    ( bigC(product(c,b),quotient(c,a),product(c,b)) != product(product(product(c,b),quotient(c,a)),product(c,b))
    | bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(c,product(quotient(c,a),b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),quotient(c,a)),product(c,product(quotient(c,a),b))) )],[refute_0_15591,refute_0_21374]) ).

cnf(refute_0_21376,plain,
    bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(c,product(quotient(c,a),b)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(c,a),product(c,b)),product(product(product(c,b),quotient(c,a)),product(c,b))) )],[refute_0_21373,refute_0_21375]) ).

cnf(refute_0_21377,plain,
    bigC(quotient(product(c,b),quotient(c,a)),quotient(c,a),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(c,b))),bind(X_22,$fot(quotient(c,a)))]]) ).

cnf(refute_0_21378,plain,
    quotient(product(c,b),difference(b,product(c,b))) = b,
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(c,b))),bind(X_6,$fot(b))]]) ).

cnf(refute_0_21379,plain,
    ( difference(b,product(c,b)) != quotient(c,a)
    | quotient(product(c,b),difference(b,product(c,b))) != b
    | quotient(product(c,b),quotient(c,a)) = b ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,b),difference(b,product(c,b))),b) ),[0,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_21380,plain,
    ( quotient(product(c,b),difference(b,product(c,b))) != b
    | quotient(product(c,b),quotient(c,a)) = b ),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_15747,refute_0_21379]) ).

cnf(refute_0_21381,plain,
    quotient(product(c,b),quotient(c,a)) = b,
    inference(resolve,[$cnf( $equal(quotient(product(c,b),difference(b,product(c,b))),b) )],[refute_0_21378,refute_0_21380]) ).

cnf(refute_0_21382,plain,
    ( bigC(quotient(product(c,b),quotient(c,a)),quotient(c,a),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | quotient(product(c,b),quotient(c,a)) != b
    | bigC(b,quotient(c,a),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,b),quotient(c,a)),quotient(c,a),X_23),product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))) ),[0,0],$fot(b)]]) ).

cnf(refute_0_21383,plain,
    ( bigC(quotient(product(c,b),quotient(c,a)),quotient(c,a),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | bigC(b,quotient(c,a),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),quotient(c,a)),b) )],[refute_0_21381,refute_0_21382]) ).

cnf(refute_0_21384,plain,
    bigC(b,quotient(c,a),X_23) = product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),quotient(c,a)),quotient(c,a),X_23),product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))) )],[refute_0_21377,refute_0_21383]) ).

cnf(refute_0_21385,plain,
    bigC(b,difference(b,product(c,b)),X_23) = product(product(c,b),product(X_23,b)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(c,b))),bind(X_21,$fot(b))]]) ).

cnf(refute_0_21386,plain,
    ( bigC(b,difference(b,product(c,b)),X_23) != product(product(c,b),product(X_23,b))
    | difference(b,product(c,b)) != quotient(c,a)
    | bigC(b,quotient(c,a),X_23) = product(product(c,b),product(X_23,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(b,product(c,b)),X_23),product(product(c,b),product(X_23,b))) ),[0,1],$fot(quotient(c,a))]]) ).

cnf(refute_0_21387,plain,
    ( bigC(b,difference(b,product(c,b)),X_23) != product(product(c,b),product(X_23,b))
    | bigC(b,quotient(c,a),X_23) = product(product(c,b),product(X_23,b)) ),
    inference(resolve,[$cnf( $equal(difference(b,product(c,b)),quotient(c,a)) )],[refute_0_15747,refute_0_21386]) ).

cnf(refute_0_21388,plain,
    bigC(b,quotient(c,a),X_23) = product(product(c,b),product(X_23,b)),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,product(c,b)),X_23),product(product(c,b),product(X_23,b))) )],[refute_0_21385,refute_0_21387]) ).

cnf(refute_0_21389,plain,
    product(product(c,b),product(X_23,b)) = product(product(c,X_23),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(X_23)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_21390,plain,
    ( bigC(b,quotient(c,a),X_23) != product(product(c,b),product(X_23,b))
    | product(product(c,b),product(X_23,b)) != product(product(c,X_23),b)
    | bigC(b,quotient(c,a),X_23) = product(product(c,X_23),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,quotient(c,a),X_23),product(product(c,X_23),b)) ),[0],$fot(product(product(c,b),product(X_23,b)))]]) ).

cnf(refute_0_21391,plain,
    ( bigC(b,quotient(c,a),X_23) != product(product(c,b),product(X_23,b))
    | bigC(b,quotient(c,a),X_23) = product(product(c,X_23),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_23,b)),product(product(c,X_23),b)) )],[refute_0_21389,refute_0_21390]) ).

cnf(refute_0_21392,plain,
    bigC(b,quotient(c,a),X_23) = product(product(c,X_23),b),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,a),X_23),product(product(c,b),product(X_23,b))) )],[refute_0_21388,refute_0_21391]) ).

cnf(refute_0_21393,plain,
    ( bigC(b,quotient(c,a),X_23) != product(product(c,X_23),b)
    | bigC(b,quotient(c,a),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | product(product(c,X_23),b) = product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,quotient(c,a),X_23),product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))) ),[0],$fot(product(product(c,X_23),b))]]) ).

cnf(refute_0_21394,plain,
    ( bigC(b,quotient(c,a),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | product(product(c,X_23),b) = product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) ),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,a),X_23),product(product(c,X_23),b)) )],[refute_0_21392,refute_0_21393]) ).

cnf(refute_0_21395,plain,
    bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) = bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)))]]) ).

cnf(refute_0_21396,plain,
    ( bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) != bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a))
    | quotient(product(c,b),quotient(c,a)) != b
    | bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) = bigC(b,X_23,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)),bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_21397,plain,
    ( quotient(product(c,b),quotient(c,a)) != b
    | bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) = bigC(b,X_23,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)),bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a))) )],[refute_0_21395,refute_0_21396]) ).

cnf(refute_0_21398,plain,
    bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) = bigC(b,X_23,quotient(c,a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,b),quotient(c,a)),b) )],[refute_0_21381,refute_0_21397]) ).

cnf(refute_0_21399,plain,
    product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) = bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(c,b))),bind(X_22,$fot(quotient(c,a)))]]) ).

cnf(refute_0_21400,plain,
    ( bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) != bigC(b,X_23,quotient(c,a))
    | product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) != bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a))
    | product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) = bigC(b,X_23,quotient(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))))),bind(Y,$fot(bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)))),bind(Z,$fot(bigC(b,X_23,quotient(c,a))))]]) ).

cnf(refute_0_21401,plain,
    ( bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)) != bigC(b,X_23,quotient(c,a))
    | product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) = bigC(b,X_23,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))),bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a))) )],[refute_0_21399,refute_0_21400]) ).

cnf(refute_0_21402,plain,
    product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) = bigC(b,X_23,quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,b),quotient(c,a)),X_23,quotient(c,a)),bigC(b,X_23,quotient(c,a))) )],[refute_0_21398,refute_0_21401]) ).

cnf(refute_0_21403,plain,
    ( product(product(c,X_23),b) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))) != bigC(b,X_23,quotient(c,a))
    | product(product(c,X_23),b) = bigC(b,X_23,quotient(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,X_23),b),bigC(b,X_23,quotient(c,a))) ),[0],$fot(product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))))]]) ).

cnf(refute_0_21404,plain,
    ( product(product(c,X_23),b) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | product(product(c,X_23),b) = bigC(b,X_23,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a)))),bigC(b,X_23,quotient(c,a))) )],[refute_0_21402,refute_0_21403]) ).

cnf(refute_0_21405,plain,
    ( bigC(b,quotient(c,a),X_23) != product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))
    | product(product(c,X_23),b) = bigC(b,X_23,quotient(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),b),product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))) )],[refute_0_21394,refute_0_21404]) ).

cnf(refute_0_21406,plain,
    product(product(c,X_23),b) = bigC(b,X_23,quotient(c,a)),
    inference(resolve,[$cnf( $equal(bigC(b,quotient(c,a),X_23),product(product(c,b),product(X_23,quotient(product(c,b),quotient(c,a))))) )],[refute_0_21384,refute_0_21405]) ).

cnf(refute_0_21407,plain,
    ( product(product(c,X_23),b) != bigC(b,X_23,quotient(c,a))
    | bigC(b,X_23,quotient(c,a)) = product(product(c,X_23),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,X_23),b))),bind(Y,$fot(bigC(b,X_23,quotient(c,a))))]]) ).

cnf(refute_0_21408,plain,
    bigC(b,X_23,quotient(c,a)) = product(product(c,X_23),b),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),b),bigC(b,X_23,quotient(c,a))) )],[refute_0_21406,refute_0_21407]) ).

cnf(refute_0_21409,plain,
    bigC(b,product(a,b),quotient(c,a)) = product(product(c,product(a,b)),b),
    inference(subst,[],[refute_0_21408:[bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_21410,plain,
    ( bigC(b,product(a,b),quotient(c,a)) != product(product(c,product(a,b)),b)
    | product(product(c,product(a,b)),b) != product(product(a,product(b,c)),b)
    | bigC(b,product(a,b),quotient(c,a)) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(a,b),quotient(c,a)))),bind(Y,$fot(product(product(c,product(a,b)),b))),bind(Z,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_21411,plain,
    ( product(product(c,product(a,b)),b) != product(product(a,product(b,c)),b)
    | bigC(b,product(a,b),quotient(c,a)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),quotient(c,a)),product(product(c,product(a,b)),b)) )],[refute_0_21409,refute_0_21410]) ).

cnf(refute_0_21412,plain,
    bigC(b,product(a,b),quotient(c,a)) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),b),product(product(a,product(b,c)),b)) )],[refute_0_17484,refute_0_21411]) ).

cnf(refute_0_21413,plain,
    bigC(b,difference(b,bigC(a,b,b)),X_23) = product(bigC(a,b,b),product(X_23,b)),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(a,b,b))),bind(X_21,$fot(b))]]) ).

cnf(refute_0_21414,plain,
    difference(b,bigC(b,a,b)) = product(a,b),
    inference(subst,[],[refute_0_702:[bind(X_36,$fot(b)),bind(X_37,$fot(a))]]) ).

cnf(refute_0_21415,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(b,bigC(b,a,b)) != product(a,b)
    | difference(b,bigC(a,b,b)) = product(a,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(b,bigC(b,a,b)),product(a,b)) ),[0,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_21416,plain,
    ( difference(b,bigC(b,a,b)) != product(a,b)
    | difference(b,bigC(a,b,b)) = product(a,b) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_21415]) ).

cnf(refute_0_21417,plain,
    difference(b,bigC(a,b,b)) = product(a,b),
    inference(resolve,[$cnf( $equal(difference(b,bigC(b,a,b)),product(a,b)) )],[refute_0_21414,refute_0_21416]) ).

cnf(refute_0_21418,plain,
    ( bigC(b,difference(b,bigC(a,b,b)),X_23) != product(bigC(a,b,b),product(X_23,b))
    | difference(b,bigC(a,b,b)) != product(a,b)
    | bigC(b,product(a,b),X_23) = product(bigC(a,b,b),product(X_23,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,difference(b,bigC(a,b,b)),X_23),product(bigC(a,b,b),product(X_23,b))) ),[0,1],$fot(product(a,b))]]) ).

cnf(refute_0_21419,plain,
    ( bigC(b,difference(b,bigC(a,b,b)),X_23) != product(bigC(a,b,b),product(X_23,b))
    | bigC(b,product(a,b),X_23) = product(bigC(a,b,b),product(X_23,b)) ),
    inference(resolve,[$cnf( $equal(difference(b,bigC(a,b,b)),product(a,b)) )],[refute_0_21417,refute_0_21418]) ).

cnf(refute_0_21420,plain,
    bigC(b,product(a,b),X_23) = product(bigC(a,b,b),product(X_23,b)),
    inference(resolve,[$cnf( $equal(bigC(b,difference(b,bigC(a,b,b)),X_23),product(bigC(a,b,b),product(X_23,b))) )],[refute_0_21413,refute_0_21419]) ).

cnf(refute_0_21421,plain,
    ( bigC(b,product(a,b),X_23) != product(bigC(a,b,b),product(X_23,b))
    | product(bigC(a,b,b),product(X_23,b)) = bigC(b,product(a,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,product(a,b),X_23))),bind(Y,$fot(product(bigC(a,b,b),product(X_23,b))))]]) ).

cnf(refute_0_21422,plain,
    product(bigC(a,b,b),product(X_23,b)) = bigC(b,product(a,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),X_23),product(bigC(a,b,b),product(X_23,b))) )],[refute_0_21420,refute_0_21421]) ).

cnf(refute_0_21423,plain,
    product(bigC(a,b,b),product(quotient(c,a),b)) = bigC(b,product(a,b),quotient(c,a)),
    inference(subst,[],[refute_0_21422:[bind(X_23,$fot(quotient(c,a)))]]) ).

cnf(refute_0_21424,plain,
    ( bigC(b,product(a,b),quotient(c,a)) != product(product(a,product(b,c)),b)
    | product(bigC(a,b,b),product(quotient(c,a),b)) != bigC(b,product(a,b),quotient(c,a))
    | product(bigC(a,b,b),product(quotient(c,a),b)) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(quotient(c,a),b)))),bind(Y,$fot(bigC(b,product(a,b),quotient(c,a)))),bind(Z,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_21425,plain,
    ( bigC(b,product(a,b),quotient(c,a)) != product(product(a,product(b,c)),b)
    | product(bigC(a,b,b),product(quotient(c,a),b)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(quotient(c,a),b)),bigC(b,product(a,b),quotient(c,a))) )],[refute_0_21423,refute_0_21424]) ).

cnf(refute_0_21426,plain,
    product(bigC(a,b,b),product(quotient(c,a),b)) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(b,product(a,b),quotient(c,a)),product(product(a,product(b,c)),b)) )],[refute_0_21412,refute_0_21425]) ).

cnf(refute_0_21427,plain,
    product(bigC(c,b,c),product(quotient(c,a),b)) = product(bigC(c,b,c),product(quotient(c,a),b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(quotient(c,a),b)))]]) ).

cnf(refute_0_21428,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(bigC(c,b,c),product(quotient(c,a),b)) != product(bigC(c,b,c),product(quotient(c,a),b))
    | product(bigC(c,b,c),product(quotient(c,a),b)) = product(bigC(a,b,b),product(quotient(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(quotient(c,a),b)),product(bigC(c,b,c),product(quotient(c,a),b))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_21429,plain,
    ( bigC(c,b,c) != bigC(a,b,b)
    | product(bigC(c,b,c),product(quotient(c,a),b)) = product(bigC(a,b,b),product(quotient(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(quotient(c,a),b)),product(bigC(c,b,c),product(quotient(c,a),b))) )],[refute_0_21427,refute_0_21428]) ).

cnf(refute_0_21430,plain,
    product(bigC(c,b,c),product(quotient(c,a),b)) = product(bigC(a,b,b),product(quotient(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(a,b,b)) )],[refute_0_4260,refute_0_21429]) ).

cnf(refute_0_21431,plain,
    ( product(bigC(a,b,b),product(quotient(c,a),b)) != product(product(a,product(b,c)),b)
    | product(bigC(c,b,c),product(quotient(c,a),b)) != product(bigC(a,b,b),product(quotient(c,a),b))
    | product(bigC(c,b,c),product(quotient(c,a),b)) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(quotient(c,a),b)))),bind(Y,$fot(product(bigC(a,b,b),product(quotient(c,a),b)))),bind(Z,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_21432,plain,
    ( product(bigC(a,b,b),product(quotient(c,a),b)) != product(product(a,product(b,c)),b)
    | product(bigC(c,b,c),product(quotient(c,a),b)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(quotient(c,a),b)),product(bigC(a,b,b),product(quotient(c,a),b))) )],[refute_0_21430,refute_0_21431]) ).

cnf(refute_0_21433,plain,
    product(bigC(c,b,c),product(quotient(c,a),b)) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(quotient(c,a),b)),product(product(a,product(b,c)),b)) )],[refute_0_21426,refute_0_21432]) ).

cnf(refute_0_21434,plain,
    bigC(product(c,b),quotient(c,a),product(c,b)) = product(bigC(c,b,c),product(quotient(c,a),b)),
    inference(subst,[],[refute_0_260:[bind(B,$fot(c)),bind(C,$fot(quotient(c,a))),bind(D,$fot(b))]]) ).

cnf(refute_0_21435,plain,
    ( bigC(product(c,b),quotient(c,a),product(c,b)) != product(bigC(c,b,c),product(quotient(c,a),b))
    | product(bigC(c,b,c),product(quotient(c,a),b)) != product(product(a,product(b,c)),b)
    | bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),quotient(c,a),product(c,b)))),bind(Y,$fot(product(bigC(c,b,c),product(quotient(c,a),b)))),bind(Z,$fot(product(product(a,product(b,c)),b)))]]) ).

cnf(refute_0_21436,plain,
    ( product(bigC(c,b,c),product(quotient(c,a),b)) != product(product(a,product(b,c)),b)
    | bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(c,a),product(c,b)),product(bigC(c,b,c),product(quotient(c,a),b))) )],[refute_0_21434,refute_0_21435]) ).

cnf(refute_0_21437,plain,
    bigC(product(c,b),quotient(c,a),product(c,b)) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(quotient(c,a),b)),product(product(a,product(b,c)),b)) )],[refute_0_21433,refute_0_21436]) ).

cnf(refute_0_21438,plain,
    ( bigC(product(c,b),quotient(c,a),product(c,b)) != product(product(a,product(b,c)),b)
    | bigC(product(c,b),quotient(c,a),product(c,b)) != product(product(c,product(quotient(c,a),b)),product(c,b))
    | product(product(a,product(b,c)),b) = product(product(c,product(quotient(c,a),b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),quotient(c,a),product(c,b)),product(product(c,product(quotient(c,a),b)),product(c,b))) ),[0],$fot(product(product(a,product(b,c)),b))]]) ).

cnf(refute_0_21439,plain,
    ( bigC(product(c,b),quotient(c,a),product(c,b)) != product(product(c,product(quotient(c,a),b)),product(c,b))
    | product(product(a,product(b,c)),b) = product(product(c,product(quotient(c,a),b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(c,a),product(c,b)),product(product(a,product(b,c)),b)) )],[refute_0_21437,refute_0_21438]) ).

cnf(refute_0_21440,plain,
    ( quotient(b,bigC(b,b,c)) != product(product(quotient(c,a),b),b)
    | product(product(quotient(c,a),b),b) = quotient(b,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(b,bigC(b,b,c)))),bind(Y,$fot(product(product(quotient(c,a),b),b)))]]) ).

cnf(refute_0_21441,plain,
    product(product(quotient(c,a),b),b) = quotient(b,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(quotient(b,bigC(b,b,c)),product(product(quotient(c,a),b),b)) )],[refute_0_19273,refute_0_21440]) ).

cnf(refute_0_21442,plain,
    product(c,product(product(quotient(c,a),b),b)) = product(c,product(product(quotient(c,a),b),b)),
    introduced(tautology,[refl,[$fot(product(c,product(product(quotient(c,a),b),b)))]]) ).

cnf(refute_0_21443,plain,
    ( product(c,product(product(quotient(c,a),b),b)) != product(c,product(product(quotient(c,a),b),b))
    | product(product(quotient(c,a),b),b) != quotient(b,bigC(b,b,c))
    | product(c,product(product(quotient(c,a),b),b)) = product(c,quotient(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(quotient(c,a),b),b)),product(c,product(product(quotient(c,a),b),b))) ),[1,1],$fot(quotient(b,bigC(b,b,c)))]]) ).

cnf(refute_0_21444,plain,
    ( product(product(quotient(c,a),b),b) != quotient(b,bigC(b,b,c))
    | product(c,product(product(quotient(c,a),b),b)) = product(c,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(quotient(c,a),b),b)),product(c,product(product(quotient(c,a),b),b))) )],[refute_0_21442,refute_0_21443]) ).

cnf(refute_0_21445,plain,
    product(c,product(product(quotient(c,a),b),b)) = product(c,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(product(quotient(c,a),b),b),quotient(b,bigC(b,b,c))) )],[refute_0_21441,refute_0_21444]) ).

cnf(refute_0_21446,plain,
    product(product(c,product(quotient(c,a),b)),product(c,b)) = product(c,product(product(quotient(c,a),b),b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(product(quotient(c,a),b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_21447,plain,
    ( product(c,product(product(quotient(c,a),b),b)) != product(c,quotient(b,bigC(b,b,c)))
    | product(product(c,product(quotient(c,a),b)),product(c,b)) != product(c,product(product(quotient(c,a),b),b))
    | product(product(c,product(quotient(c,a),b)),product(c,b)) = product(c,quotient(b,bigC(b,b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(quotient(c,a),b)),product(c,b)))),bind(Y,$fot(product(c,product(product(quotient(c,a),b),b)))),bind(Z,$fot(product(c,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_21448,plain,
    ( product(c,product(product(quotient(c,a),b),b)) != product(c,quotient(b,bigC(b,b,c)))
    | product(product(c,product(quotient(c,a),b)),product(c,b)) = product(c,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(quotient(c,a),b)),product(c,b)),product(c,product(product(quotient(c,a),b),b))) )],[refute_0_21446,refute_0_21447]) ).

cnf(refute_0_21449,plain,
    product(product(c,product(quotient(c,a),b)),product(c,b)) = product(c,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(c,product(product(quotient(c,a),b),b)),product(c,quotient(b,bigC(b,b,c)))) )],[refute_0_21445,refute_0_21448]) ).

cnf(refute_0_21450,plain,
    ( product(product(a,product(b,c)),b) != product(product(c,product(quotient(c,a),b)),product(c,b))
    | product(product(c,product(quotient(c,a),b)),product(c,b)) != product(c,quotient(b,bigC(b,b,c)))
    | product(product(a,product(b,c)),b) = product(c,quotient(b,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,product(b,c)),b),product(c,quotient(b,bigC(b,b,c)))) ),[0],$fot(product(product(c,product(quotient(c,a),b)),product(c,b)))]]) ).

cnf(refute_0_21451,plain,
    ( product(product(a,product(b,c)),b) != product(product(c,product(quotient(c,a),b)),product(c,b))
    | product(product(a,product(b,c)),b) = product(c,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(quotient(c,a),b)),product(c,b)),product(c,quotient(b,bigC(b,b,c)))) )],[refute_0_21449,refute_0_21450]) ).

cnf(refute_0_21452,plain,
    ( bigC(product(c,b),quotient(c,a),product(c,b)) != product(product(c,product(quotient(c,a),b)),product(c,b))
    | product(product(a,product(b,c)),b) = product(c,quotient(b,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),b),product(product(c,product(quotient(c,a),b)),product(c,b))) )],[refute_0_21439,refute_0_21451]) ).

cnf(refute_0_21453,plain,
    product(product(a,product(b,c)),b) = product(c,quotient(b,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),quotient(c,a),product(c,b)),product(product(c,product(quotient(c,a),b)),product(c,b))) )],[refute_0_21376,refute_0_21452]) ).

cnf(refute_0_21454,plain,
    ( product(product(a,product(b,c)),b) != product(c,quotient(b,bigC(b,b,c)))
    | product(c,quotient(b,bigC(b,b,c))) = product(product(a,product(b,c)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,product(b,c)),b))),bind(Y,$fot(product(c,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_21455,plain,
    product(c,quotient(b,bigC(b,b,c))) = product(product(a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),b),product(c,quotient(b,bigC(b,b,c)))) )],[refute_0_21453,refute_0_21454]) ).

cnf(refute_0_21456,plain,
    ( product(c,quotient(b,bigC(b,b,c))) != product(product(a,product(b,c)),b)
    | product(product(A,c),product(C,quotient(b,bigC(b,b,c)))) != product(product(A,C),product(c,quotient(b,bigC(b,b,c))))
    | product(product(A,c),product(C,quotient(b,bigC(b,b,c)))) = product(product(A,C),product(product(a,product(b,c)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,quotient(b,bigC(b,b,c)))),product(product(A,C),product(c,quotient(b,bigC(b,b,c))))) ),[1,1],$fot(product(product(a,product(b,c)),b))]]) ).

cnf(refute_0_21457,plain,
    ( product(product(A,c),product(C,quotient(b,bigC(b,b,c)))) != product(product(A,C),product(c,quotient(b,bigC(b,b,c))))
    | product(product(A,c),product(C,quotient(b,bigC(b,b,c)))) = product(product(A,C),product(product(a,product(b,c)),b)) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(b,bigC(b,b,c))),product(product(a,product(b,c)),b)) )],[refute_0_21455,refute_0_21456]) ).

cnf(refute_0_21458,plain,
    product(product(A,c),product(C,quotient(b,bigC(b,b,c)))) = product(product(A,C),product(product(a,product(b,c)),b)),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,quotient(b,bigC(b,b,c)))),product(product(A,C),product(c,quotient(b,bigC(b,b,c))))) )],[refute_0_21372,refute_0_21457]) ).

cnf(refute_0_21459,plain,
    product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) = product(product(c,a),product(product(a,product(b,c)),b)),
    inference(subst,[],[refute_0_21458:[bind(A,$fot(c)),bind(C,$fot(a))]]) ).

cnf(refute_0_21460,plain,
    ( product(product(c,a),product(product(a,product(b,c)),b)) != product(a,bigC(b,b,product(c,a)))
    | product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) != product(product(c,a),product(product(a,product(b,c)),b))
    | product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(a,quotient(b,bigC(b,b,c)))))),bind(Y,$fot(product(product(c,a),product(product(a,product(b,c)),b)))),bind(Z,$fot(product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_21461,plain,
    ( product(product(c,a),product(product(a,product(b,c)),b)) != product(a,bigC(b,b,product(c,a)))
    | product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(a,quotient(b,bigC(b,b,c)))),product(product(c,a),product(product(a,product(b,c)),b))) )],[refute_0_21459,refute_0_21460]) ).

cnf(refute_0_21462,plain,
    product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,product(b,c)),b)),product(a,bigC(b,b,product(c,a)))) )],[refute_0_21371,refute_0_21461]) ).

cnf(refute_0_21463,plain,
    bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(difference(bigC(a,a,c),difference(product(c,a),a)),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(difference(bigC(a,a,c),difference(product(c,a),a))))]]) ).

cnf(refute_0_21464,plain,
    ( bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) != product(product(c,B),product(difference(bigC(a,a,c),difference(product(c,a),a)),c))
    | product(difference(bigC(a,a,c),difference(product(c,a),a)),c) != product(product(a,product(a,c)),product(product(c,b),b))
    | bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))),product(product(c,B),product(difference(bigC(a,a,c),difference(product(c,a),a)),c))) ),[1,1],$fot(product(product(a,product(a,c)),product(product(c,b),b)))]]) ).

cnf(refute_0_21465,plain,
    ( bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) != product(product(c,B),product(difference(bigC(a,a,c),difference(product(c,a),a)),c))
    | bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) ),
    inference(resolve,[$cnf( $equal(product(difference(bigC(a,a,c),difference(product(c,a),a)),c),product(product(a,product(a,c)),product(product(c,b),b))) )],[refute_0_21325,refute_0_21464]) ).

cnf(refute_0_21466,plain,
    bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))),product(product(c,B),product(difference(bigC(a,a,c),difference(product(c,a),a)),c))) )],[refute_0_21463,refute_0_21465]) ).

cnf(refute_0_21467,plain,
    product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) = product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))),
    introduced(tautology,[refl,[$fot(product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_21468,plain,
    ( product(product(a,product(a,c)),product(product(c,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) != product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b)))
    | product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) = product(product(c,B),product(a,quotient(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))),product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b)))) ),[1,1],$fot(product(a,quotient(b,bigC(b,b,c))))]]) ).

cnf(refute_0_21469,plain,
    ( product(product(a,product(a,c)),product(product(c,b),b)) != product(a,quotient(b,bigC(b,b,c)))
    | product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) = product(product(c,B),product(a,quotient(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))),product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b)))) )],[refute_0_21467,refute_0_21468]) ).

cnf(refute_0_21470,plain,
    product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) = product(product(c,B),product(a,quotient(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(product(a,product(a,c)),product(product(c,b),b)),product(a,quotient(b,bigC(b,b,c)))) )],[refute_0_21348,refute_0_21469]) ).

cnf(refute_0_21471,plain,
    ( bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) != product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b)))
    | product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))) != product(product(c,B),product(a,quotient(b,bigC(b,b,c))))
    | bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(a,quotient(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))),product(product(c,B),product(a,quotient(b,bigC(b,b,c))))) ),[0],$fot(product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))))]]) ).

cnf(refute_0_21472,plain,
    ( bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) != product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b)))
    | bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(a,quotient(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b))),product(product(c,B),product(a,quotient(b,bigC(b,b,c))))) )],[refute_0_21470,refute_0_21471]) ).

cnf(refute_0_21473,plain,
    bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,B),product(a,quotient(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,B,difference(bigC(a,a,c),difference(product(c,a),a))),product(product(c,B),product(product(a,product(a,c)),product(product(c,b),b)))) )],[refute_0_21466,refute_0_21472]) ).

cnf(refute_0_21474,plain,
    bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(product(c,c),product(a,quotient(b,bigC(b,b,c)))),
    inference(subst,[],[refute_0_21473:[bind(B,$fot(c))]]) ).

cnf(refute_0_21475,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(product(c,c),product(a,quotient(b,bigC(b,b,c))))
    | product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) != product(a,bigC(b,b,product(c,a)))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))))),bind(Y,$fot(product(product(c,c),product(a,quotient(b,bigC(b,b,c)))))),bind(Z,$fot(product(a,bigC(b,b,product(c,a)))))]]) ).

cnf(refute_0_21476,plain,
    ( product(product(c,c),product(a,quotient(b,bigC(b,b,c)))) != product(a,bigC(b,b,product(c,a)))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(a,bigC(b,b,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(product(c,c),product(a,quotient(b,bigC(b,b,c))))) )],[refute_0_21474,refute_0_21475]) ).

cnf(refute_0_21477,plain,
    bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(a,quotient(b,bigC(b,b,c)))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_21462,refute_0_21476]) ).

cnf(refute_0_21478,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(a,bigC(b,b,product(c,a)))
    | bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(c,product(a,quotient(b,bigC(b,b,c))))
    | product(a,bigC(b,b,product(c,a))) = product(c,product(a,quotient(b,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(c,product(a,quotient(b,bigC(b,b,c))))) ),[0],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_21479,plain,
    ( bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))) != product(c,product(a,quotient(b,bigC(b,b,c))))
    | product(a,bigC(b,b,product(c,a))) = product(c,product(a,quotient(b,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_21477,refute_0_21478]) ).

cnf(refute_0_21480,plain,
    product(a,bigC(b,b,product(c,a))) = product(c,product(a,quotient(b,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(bigC(c,c,difference(bigC(a,a,c),difference(product(c,a),a))),product(c,product(a,quotient(b,bigC(b,b,c))))) )],[refute_0_21355,refute_0_21479]) ).

cnf(refute_0_21481,plain,
    ( product(a,bigC(b,b,product(c,a))) != product(c,product(a,quotient(b,bigC(b,b,c))))
    | product(c,product(a,quotient(b,bigC(b,b,c)))) = product(a,bigC(b,b,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(a,bigC(b,b,product(c,a))))),bind(Y,$fot(product(c,product(a,quotient(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_21482,plain,
    product(c,product(a,quotient(b,bigC(b,b,c)))) = product(a,bigC(b,b,product(c,a))),
    inference(resolve,[$cnf( $equal(product(a,bigC(b,b,product(c,a))),product(c,product(a,quotient(b,bigC(b,b,c))))) )],[refute_0_21480,refute_0_21481]) ).

cnf(refute_0_21483,plain,
    product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_21484,plain,
    ( product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) != product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c)))))
    | product(c,product(a,quotient(b,bigC(b,b,c)))) != product(a,bigC(b,b,product(c,a)))
    | product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))),product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c)))))) ),[1,1],$fot(product(a,bigC(b,b,product(c,a))))]]) ).

cnf(refute_0_21485,plain,
    ( product(c,product(a,quotient(b,bigC(b,b,c)))) != product(a,bigC(b,b,product(c,a)))
    | product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))),product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c)))))) )],[refute_0_21483,refute_0_21484]) ).

cnf(refute_0_21486,plain,
    product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(c,product(a,quotient(b,bigC(b,b,c)))),product(a,bigC(b,b,product(c,a)))) )],[refute_0_21482,refute_0_21485]) ).

cnf(refute_0_21487,plain,
    ( product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) != product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a))))
    | product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))))),bind(Y,$fot(product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))))),bind(Z,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_21488,plain,
    ( product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))),product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a))))) )],[refute_0_21486,refute_0_21487]) ).

cnf(refute_0_21489,plain,
    product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(a,bigC(b,b,product(c,a)))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_21149,refute_0_21488]) ).

cnf(refute_0_21490,plain,
    product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) = product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))),
    inference(subst,[],[refute_0_21139:[bind(B,$fot(c)),bind(D,$fot(product(a,quotient(b,bigC(b,b,c)))))]]) ).

cnf(refute_0_21491,plain,
    ( product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) != product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c)))))
    | product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))),bind(Y,$fot(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))))),bind(Z,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_21492,plain,
    ( product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))),product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c)))))) )],[refute_0_21490,refute_0_21491]) ).

cnf(refute_0_21493,plain,
    product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,bigC(a,a,c)),product(c,product(a,quotient(b,bigC(b,b,c))))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_21489,refute_0_21492]) ).

cnf(refute_0_21494,plain,
    product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))))]]) ).

cnf(refute_0_21495,plain,
    ( product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))
    | product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))),product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))) ),[1,1],$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_21496,plain,
    ( product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))),product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))) )],[refute_0_21494,refute_0_21495]) ).

cnf(refute_0_21497,plain,
    product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_21493,refute_0_21496]) ).

cnf(refute_0_21498,plain,
    product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(bigC(b,c,bigC(a,b,b)))),bind(X_66,$fot(product(c,product(a,quotient(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_21499,plain,
    product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)) = product(product(product(bigC(a,a,product(b,c)),b),c),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(bigC(a,a,product(b,c)),b))),bind(C,$fot(c))]]) ).

cnf(refute_0_21500,plain,
    product(c,difference(c,product(product(bigC(a,c,product(c,a)),b),c))) = product(product(bigC(a,c,product(c,a)),b),c),
    inference(subst,[],[sos02:[bind(A,$fot(c)),bind(B,$fot(product(product(bigC(a,c,product(c,a)),b),c)))]]) ).

cnf(refute_0_21501,plain,
    quotient(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),c) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)),
    inference(subst,[],[refute_0_823:[bind(B,$fot(c)),bind(X_29,$fot(product(bigC(a,c,product(c,a)),b)))]]) ).

cnf(refute_0_21502,plain,
    quotient(c,product(c,product(c,product(product(c,product(c,b)),b)))) = product(product(product(product(c,product(c,b)),b),c),c),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(product(c,product(c,b)),b))),bind(X_16,$fot(c))]]) ).

cnf(refute_0_21503,plain,
    difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(product(c,bigC(b,b,c)),product(c,product(c,b))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(c,bigC(b,b,c)))),bind(X_20,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_21504,plain,
    quotient(bigC(c,b,product(a,b)),product(product(a,b),c)) = product(c,b),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(c)),bind(X_22,$fot(b)),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_21505,plain,
    bigC(c,product(a,b),b) = product(product(c,product(c,a)),product(b,b)),
    inference(subst,[],[refute_0_12545:[bind(X_22,$fot(b))]]) ).

cnf(refute_0_21506,plain,
    ( bigC(c,product(a,b),b) != product(product(c,product(c,a)),product(b,b))
    | product(b,b) != b
    | bigC(c,product(a,b),b) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),b),product(product(c,product(c,a)),product(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_21507,plain,
    ( bigC(c,product(a,b),b) != product(product(c,product(c,a)),product(b,b))
    | bigC(c,product(a,b),b) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(b,b),b) )],[refute_0_977,refute_0_21506]) ).

cnf(refute_0_21508,plain,
    bigC(c,product(a,b),b) = product(product(c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),b),product(product(c,product(c,a)),product(b,b))) )],[refute_0_21505,refute_0_21507]) ).

cnf(refute_0_21509,plain,
    ( bigC(c,product(a,b),b) != bigC(c,b,product(a,b))
    | bigC(c,product(a,b),b) != product(product(c,product(c,a)),b)
    | bigC(c,b,product(a,b)) = product(product(c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),b),product(product(c,product(c,a)),b)) ),[0],$fot(bigC(c,b,product(a,b)))]]) ).

cnf(refute_0_21510,plain,
    ( bigC(c,product(a,b),b) != product(product(c,product(c,a)),b)
    | bigC(c,b,product(a,b)) = product(product(c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),b),bigC(c,b,product(a,b))) )],[refute_0_8973,refute_0_21509]) ).

cnf(refute_0_21511,plain,
    ( bigC(c,b,product(a,b)) != product(product(c,product(c,a)),b)
    | product(product(c,product(c,a)),b) != product(c,bigC(b,b,c))
    | bigC(c,b,product(a,b)) = product(c,bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,b,product(a,b)),product(c,bigC(b,b,c))) ),[0],$fot(product(product(c,product(c,a)),b))]]) ).

cnf(refute_0_21512,plain,
    ( bigC(c,b,product(a,b)) != product(product(c,product(c,a)),b)
    | bigC(c,b,product(a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),b),product(c,bigC(b,b,c))) )],[refute_0_4652,refute_0_21511]) ).

cnf(refute_0_21513,plain,
    ( bigC(c,product(a,b),b) != product(product(c,product(c,a)),b)
    | bigC(c,b,product(a,b)) = product(c,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,b)),product(product(c,product(c,a)),b)) )],[refute_0_21510,refute_0_21512]) ).

cnf(refute_0_21514,plain,
    bigC(c,b,product(a,b)) = product(c,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),b),product(product(c,product(c,a)),b)) )],[refute_0_21508,refute_0_21513]) ).

cnf(refute_0_21515,plain,
    ( bigC(c,b,product(a,b)) != product(c,bigC(b,b,c))
    | quotient(bigC(c,b,product(a,b)),product(product(a,b),c)) != product(c,b)
    | quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,b,product(a,b)),product(product(a,b),c)),product(c,b)) ),[0,0],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_21516,plain,
    ( quotient(bigC(c,b,product(a,b)),product(product(a,b),c)) != product(c,b)
    | quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,b,product(a,b)),product(c,bigC(b,b,c))) )],[refute_0_21514,refute_0_21515]) ).

cnf(refute_0_21517,plain,
    quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,b,product(a,b)),product(product(a,b),c)),product(c,b)) )],[refute_0_21504,refute_0_21516]) ).

cnf(refute_0_21518,plain,
    quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = quotient(product(c,bigC(b,b,c)),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(quotient(product(c,bigC(b,b,c)),product(product(a,b),c)))]]) ).

cnf(refute_0_21519,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) != quotient(product(c,bigC(b,b,c)),product(product(a,b),c))
    | quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = quotient(product(c,bigC(b,b,c)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(a,b),c)),quotient(product(c,bigC(b,b,c)),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_21520,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = quotient(product(c,bigC(b,b,c)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(a,b),c)),quotient(product(c,bigC(b,b,c)),product(product(a,b),c))) )],[refute_0_21518,refute_0_21519]) ).

cnf(refute_0_21521,plain,
    quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) = quotient(product(c,bigC(b,b,c)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_21520]) ).

cnf(refute_0_21522,plain,
    ( quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) != product(c,b)
    | quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) != quotient(product(c,bigC(b,b,c)),product(c,product(c,b)))
    | quotient(product(c,bigC(b,b,c)),product(c,product(c,b))) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(a,b),c)),product(c,b)) ),[0],$fot(quotient(product(c,bigC(b,b,c)),product(c,product(c,b))))]]) ).

cnf(refute_0_21523,plain,
    ( quotient(product(c,bigC(b,b,c)),product(product(a,b),c)) != product(c,b)
    | quotient(product(c,bigC(b,b,c)),product(c,product(c,b))) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(a,b),c)),quotient(product(c,bigC(b,b,c)),product(c,product(c,b)))) )],[refute_0_21521,refute_0_21522]) ).

cnf(refute_0_21524,plain,
    quotient(product(c,bigC(b,b,c)),product(c,product(c,b))) = product(c,b),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(product(a,b),c)),product(c,b)) )],[refute_0_21517,refute_0_21523]) ).

cnf(refute_0_21525,plain,
    ( difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(product(c,bigC(b,b,c)),product(c,product(c,b)))))
    | quotient(product(c,bigC(b,b,c)),product(c,product(c,b))) != product(c,b)
    | difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(product(c,bigC(b,b,c)),product(c,product(c,b)))))) ),[1,1,1],$fot(product(c,b))]]) ).

cnf(refute_0_21526,plain,
    ( difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(product(c,bigC(b,b,c)),product(c,product(c,b)))))
    | difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,b)) )],[refute_0_21524,refute_0_21525]) ).

cnf(refute_0_21527,plain,
    difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(product(c,bigC(b,b,c)),product(c,product(c,b)))))) )],[refute_0_21503,refute_0_21526]) ).

cnf(refute_0_21528,plain,
    difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))) = bigC(product(c,b),product(a,b),product(product(c,a),b)),
    inference(subst,[],[sos01:[bind(A,$fot(product(product(c,b),product(product(product(c,a),a),b)))),bind(B,$fot(bigC(product(c,b),product(a,b),product(product(c,a),b))))]]) ).

cnf(refute_0_21529,plain,
    product(product(product(c,b),product(product(product(c,b),product(a,b)),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(c,b),product(a,b)),
    inference(subst,[],[refute_0_2405:[bind(A,$fot(product(c,b))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_21530,plain,
    ( product(product(product(c,b),product(a,b)),product(a,b)) != bigC(product(c,b),product(a,b),product(a,c))
    | product(product(product(c,b),product(product(product(c,b),product(a,b)),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),product(a,b)),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(c,b),product(a,b))) ),[0,0,1],$fot(bigC(product(c,b),product(a,b),product(a,c)))]]) ).

cnf(refute_0_21531,plain,
    ( product(product(product(c,b),product(product(product(c,b),product(a,b)),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(a,b)),product(a,b)),bigC(product(c,b),product(a,b),product(a,c))) )],[refute_0_7770,refute_0_21530]) ).

cnf(refute_0_21532,plain,
    product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(c,b),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,b),product(a,b)),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(c,b),product(a,b))) )],[refute_0_21529,refute_0_21531]) ).

cnf(refute_0_21533,plain,
    bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) = bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))),
    introduced(tautology,[refl,[$fot(bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))]]) ).

cnf(refute_0_21534,plain,
    ( bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) != bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))
    | product(product(c,b),product(a,b)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) ),[1,2],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_21535,plain,
    ( product(product(c,b),product(a,b)) != product(product(c,a),b)
    | bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) )],[refute_0_21533,refute_0_21534]) ).

cnf(refute_0_21536,plain,
    bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) = bigC(product(c,b),product(a,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_909,refute_0_21535]) ).

cnf(refute_0_21537,plain,
    product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))))]]) ).

cnf(refute_0_21538,plain,
    ( bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))) ),[1,1],$fot(bigC(product(c,b),product(a,b),product(product(c,a),b)))]]) ).

cnf(refute_0_21539,plain,
    ( bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))) )],[refute_0_21537,refute_0_21538]) ).

cnf(refute_0_21540,plain,
    product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))),bigC(product(c,b),product(a,b),product(product(c,a),b))) )],[refute_0_21536,refute_0_21539]) ).

cnf(refute_0_21541,plain,
    product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) = product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))))]]) ).

cnf(refute_0_21542,plain,
    ( bigC(product(c,b),product(a,b),product(a,c)) != product(product(product(c,a),a),b)
    | product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) != product(product(c,b),bigC(product(c,b),product(a,b),product(a,c)))
    | product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) = product(product(c,b),product(product(product(c,a),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),product(product(c,b),bigC(product(c,b),product(a,b),product(a,c)))) ),[1,1],$fot(product(product(product(c,a),a),b))]]) ).

cnf(refute_0_21543,plain,
    ( bigC(product(c,b),product(a,b),product(a,c)) != product(product(product(c,a),a),b)
    | product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) = product(product(c,b),product(product(product(c,a),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),product(product(c,b),bigC(product(c,b),product(a,b),product(a,c)))) )],[refute_0_21541,refute_0_21542]) ).

cnf(refute_0_21544,plain,
    product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) = product(product(c,b),product(product(product(c,a),a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(a,c)),product(product(product(c,a),a),b)) )],[refute_0_8089,refute_0_21543]) ).

cnf(refute_0_21545,plain,
    product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))))]]) ).

cnf(refute_0_21546,plain,
    ( product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) != product(product(c,b),product(product(product(c,a),a),b))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))) ),[1,0],$fot(product(product(c,b),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_21547,plain,
    ( product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))) != product(product(c,b),product(product(product(c,a),a),b))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))) )],[refute_0_21545,refute_0_21546]) ).

cnf(refute_0_21548,plain,
    product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),product(product(c,b),product(product(product(c,a),a),b))) )],[refute_0_21544,refute_0_21547]) ).

cnf(refute_0_21549,plain,
    ( product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))))),bind(Y,$fot(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))))),bind(Z,$fot(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))))]]) ).

cnf(refute_0_21550,plain,
    ( product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b))))) )],[refute_0_21548,refute_0_21549]) ).

cnf(refute_0_21551,plain,
    product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) = product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))) )],[refute_0_21540,refute_0_21550]) ).

cnf(refute_0_21552,plain,
    ( product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,b),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(c,b),product(a,b))) ),[0],$fot(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))))]]) ).

cnf(refute_0_21553,plain,
    ( product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,b),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))) )],[refute_0_21551,refute_0_21552]) ).

cnf(refute_0_21554,plain,
    ( product(product(c,b),product(a,b)) != product(product(c,a),b)
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,b),product(a,b))) ),[1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_21555,plain,
    ( product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,b)),product(product(c,a),b)) )],[refute_0_909,refute_0_21554]) ).

cnf(refute_0_21556,plain,
    ( product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))) != product(product(c,b),product(a,b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,a),b) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,b),product(a,b))) )],[refute_0_21553,refute_0_21555]) ).

cnf(refute_0_21557,plain,
    product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,a),b),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),bigC(product(c,b),product(a,b),product(a,c))),bigC(product(c,b),product(a,b),product(product(c,b),product(a,b)))),product(product(c,b),product(a,b))) )],[refute_0_21532,refute_0_21556]) ).

cnf(refute_0_21558,plain,
    ( difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,a),b)
    | difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),[0,1],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_21559,plain,
    ( difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,a),b)) )],[refute_0_21557,refute_0_21558]) ).

cnf(refute_0_21560,plain,
    difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = bigC(product(c,b),product(a,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b)))),bigC(product(c,b),product(a,b),product(product(c,a),b))) )],[refute_0_21528,refute_0_21559]) ).

cnf(refute_0_21561,plain,
    product(product(c,b),product(product(product(c,a),a),b)) = product(product(c,product(product(c,a),a)),b),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(c)),bind(X_64,$fot(product(product(c,a),a))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_21562,plain,
    difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)))]]) ).

cnf(refute_0_21563,plain,
    ( difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) != difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b))
    | product(product(c,b),product(product(product(c,a),a),b)) != product(product(c,product(product(c,a),a)),b)
    | difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)),difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b))) ),[1,0],$fot(product(product(c,product(product(c,a),a)),b))]]) ).

cnf(refute_0_21564,plain,
    ( product(product(c,b),product(product(product(c,a),a),b)) != product(product(c,product(product(c,a),a)),b)
    | difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)),difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b))) )],[refute_0_21562,refute_0_21563]) ).

cnf(refute_0_21565,plain,
    difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,product(product(c,a),a)),b)) )],[refute_0_21561,refute_0_21564]) ).

cnf(refute_0_21566,plain,
    ( difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) != difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),[0],$fot(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)))]]) ).

cnf(refute_0_21567,plain,
    ( difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)),difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b))) )],[refute_0_21565,refute_0_21566]) ).

cnf(refute_0_21568,plain,
    product(bigC(c,a,product(c,a)),bigC(b,b,b)) = product(bigC(c,a,product(c,a)),bigC(b,b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,product(c,a)),bigC(b,b,b)))]]) ).

cnf(refute_0_21569,plain,
    ( bigC(b,b,b) != b
    | product(bigC(c,a,product(c,a)),bigC(b,b,b)) != product(bigC(c,a,product(c,a)),bigC(b,b,b))
    | product(bigC(c,a,product(c,a)),bigC(b,b,b)) = product(bigC(c,a,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,product(c,a)),bigC(b,b,b)),product(bigC(c,a,product(c,a)),bigC(b,b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_21570,plain,
    ( bigC(b,b,b) != b
    | product(bigC(c,a,product(c,a)),bigC(b,b,b)) = product(bigC(c,a,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(c,a)),bigC(b,b,b)),product(bigC(c,a,product(c,a)),bigC(b,b,b))) )],[refute_0_21568,refute_0_21569]) ).

cnf(refute_0_21571,plain,
    product(bigC(c,a,product(c,a)),bigC(b,b,b)) = product(bigC(c,a,product(c,a)),b),
    inference(resolve,[$cnf( $equal(bigC(b,b,b),b) )],[refute_0_3563,refute_0_21570]) ).

cnf(refute_0_21572,plain,
    bigC(product(c,b),product(a,b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),bigC(b,b,b)),
    inference(subst,[],[refute_0_7803:[bind(X_63,$fot(product(c,a))),bind(X_64,$fot(b))]]) ).

cnf(refute_0_21573,plain,
    ( bigC(product(c,b),product(a,b),product(product(c,a),b)) != product(bigC(c,a,product(c,a)),bigC(b,b,b))
    | product(bigC(c,a,product(c,a)),bigC(b,b,b)) != product(bigC(c,a,product(c,a)),b)
    | bigC(product(c,b),product(a,b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(c,b),product(a,b),product(product(c,a),b)))),bind(Y,$fot(product(bigC(c,a,product(c,a)),bigC(b,b,b)))),bind(Z,$fot(product(bigC(c,a,product(c,a)),b)))]]) ).

cnf(refute_0_21574,plain,
    ( product(bigC(c,a,product(c,a)),bigC(b,b,b)) != product(bigC(c,a,product(c,a)),b)
    | bigC(product(c,b),product(a,b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(product(c,a),b)),product(bigC(c,a,product(c,a)),bigC(b,b,b))) )],[refute_0_21572,refute_0_21573]) ).

cnf(refute_0_21575,plain,
    bigC(product(c,b),product(a,b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(c,a)),bigC(b,b,b)),product(bigC(c,a,product(c,a)),b)) )],[refute_0_21571,refute_0_21574]) ).

cnf(refute_0_21576,plain,
    ( bigC(product(c,b),product(a,b),product(product(c,a),b)) != product(bigC(c,a,product(c,a)),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) ),[1],$fot(product(bigC(c,a,product(c,a)),b))]]) ).

cnf(refute_0_21577,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(product(c,a),b)),product(bigC(c,a,product(c,a)),b)) )],[refute_0_21575,refute_0_21576]) ).

cnf(refute_0_21578,plain,
    ( difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) )],[refute_0_21567,refute_0_21577]) ).

cnf(refute_0_21579,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = product(bigC(c,a,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) )],[refute_0_21560,refute_0_21578]) ).

cnf(refute_0_21580,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)))]]) ).

cnf(refute_0_21581,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) != difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_21582,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b))) )],[refute_0_21580,refute_0_21581]) ).

cnf(refute_0_21583,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) = difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_21582]) ).

cnf(refute_0_21584,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) != difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b)))
    | difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) != product(bigC(c,a,product(c,a)),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = product(bigC(c,a,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),product(bigC(c,a,product(c,a)),b)) ),[0],$fot(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))))]]) ).

cnf(refute_0_21585,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)) != product(bigC(c,a,product(c,a)),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = product(bigC(c,a,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b)))) )],[refute_0_21583,refute_0_21584]) ).

cnf(refute_0_21586,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = product(bigC(c,a,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(product(c,a),b)),product(bigC(c,a,product(c,a)),b)) )],[refute_0_21579,refute_0_21585]) ).

cnf(refute_0_21587,plain,
    product(bigC(c,a,product(c,a)),b) = product(bigC(c,a,product(c,a)),b),
    introduced(tautology,[refl,[$fot(product(bigC(c,a,product(c,a)),b))]]) ).

cnf(refute_0_21588,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(c,a,product(c,a)),b) != product(bigC(c,a,product(c,a)),b)
    | product(bigC(c,a,product(c,a)),b) = product(bigC(a,c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,a,product(c,a)),b),product(bigC(c,a,product(c,a)),b)) ),[1,0],$fot(bigC(a,c,product(c,a)))]]) ).

cnf(refute_0_21589,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(bigC(c,a,product(c,a)),b) = product(bigC(a,c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(c,a)),b),product(bigC(c,a,product(c,a)),b)) )],[refute_0_21587,refute_0_21588]) ).

cnf(refute_0_21590,plain,
    product(bigC(c,a,product(c,a)),b) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_8650,refute_0_21589]) ).

cnf(refute_0_21591,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) != product(bigC(c,a,product(c,a)),b)
    | product(bigC(c,a,product(c,a)),b) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) ),[0],$fot(product(bigC(c,a,product(c,a)),b))]]) ).

cnf(refute_0_21592,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) != product(bigC(c,a,product(c,a)),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,product(c,a)),b),product(bigC(a,c,product(c,a)),b)) )],[refute_0_21590,refute_0_21591]) ).

cnf(refute_0_21593,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),product(bigC(c,a,product(c,a)),b)) )],[refute_0_21586,refute_0_21592]) ).

cnf(refute_0_21594,plain,
    bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(quotient(product(c,a),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b)))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(quotient(product(c,a),bigC(a,a,b)))),bind(X_23,$fot(bigC(a,a,b)))]]) ).

cnf(refute_0_21595,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(quotient(product(c,a),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))))
    | product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))) != product(c,product(c,a))
    | bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(quotient(product(c,a),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_21596,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(quotient(product(c,a),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))))
    | bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))),product(c,product(c,a))) )],[refute_0_6932,refute_0_21595]) ).

cnf(refute_0_21597,plain,
    bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(quotient(product(c,a),bigC(a,a,b)),product(bigC(a,a,b),quotient(product(c,a),bigC(a,a,b))))) )],[refute_0_21594,refute_0_21596]) ).

cnf(refute_0_21598,plain,
    product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))) = quotient(product(c,a),bigC(a,a,b)),
    inference(subst,[],[sos06:[bind(A,$fot(quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_21599,plain,
    product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))),
    introduced(tautology,[refl,[$fot(product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))))]]) ).

cnf(refute_0_21600,plain,
    ( product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) != product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))))
    | product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))) != quotient(product(c,a),bigC(a,a,b))
    | product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))),product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))))) ),[1,1],$fot(quotient(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_21601,plain,
    ( product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))) != quotient(product(c,a),bigC(a,a,b))
    | product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))),product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))))) )],[refute_0_21599,refute_0_21600]) ).

cnf(refute_0_21602,plain,
    product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_21598,refute_0_21601]) ).

cnf(refute_0_21603,plain,
    bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))),
    inference(subst,[],[refute_0_1566:[bind(A,$fot(product(c,a))),bind(X_22,$fot(bigC(a,a,b))),bind(X_23,$fot(quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_21604,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))))
    | product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) != product(product(c,a),quotient(product(c,a),bigC(a,a,b)))
    | bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)))),bind(Y,$fot(product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))))),bind(Z,$fot(product(product(c,a),quotient(product(c,a),bigC(a,a,b)))))]]) ).

cnf(refute_0_21605,plain,
    ( product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))) != product(product(c,a),quotient(product(c,a),bigC(a,a,b)))
    | bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b))))) )],[refute_0_21603,refute_0_21604]) ).

cnf(refute_0_21606,plain,
    bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)))),product(product(c,a),quotient(product(c,a),bigC(a,a,b)))) )],[refute_0_21602,refute_0_21605]) ).

cnf(refute_0_21607,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(product(c,a),quotient(product(c,a),bigC(a,a,b)))
    | bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) ),[0],$fot(product(product(c,a),quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_21608,plain,
    ( bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(product(c,a),quotient(product(c,a),bigC(a,a,b)))) )],[refute_0_21606,refute_0_21607]) ).

cnf(refute_0_21609,plain,
    product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(c,a),bigC(a,a,b)),quotient(product(c,a),bigC(a,a,b)),bigC(a,a,b)),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) )],[refute_0_21597,refute_0_21608]) ).

cnf(refute_0_21610,plain,
    product(bigC(a,b,b),product(a,a)) = product(bigC(a,b,b),product(a,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),product(a,a)))]]) ).

cnf(refute_0_21611,plain,
    ( product(a,a) != a
    | product(bigC(a,b,b),product(a,a)) != product(bigC(a,b,b),product(a,a))
    | product(bigC(a,b,b),product(a,a)) = product(bigC(a,b,b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),product(a,a)),product(bigC(a,b,b),product(a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_21612,plain,
    ( product(a,a) != a
    | product(bigC(a,b,b),product(a,a)) = product(bigC(a,b,b),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(a,a)),product(bigC(a,b,b),product(a,a))) )],[refute_0_21610,refute_0_21611]) ).

cnf(refute_0_21613,plain,
    product(bigC(a,b,b),product(a,a)) = product(bigC(a,b,b),a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_21612]) ).

cnf(refute_0_21614,plain,
    product(bigC(c,c,b),product(a,a)) = product(bigC(c,c,b),product(a,a)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,b),product(a,a)))]]) ).

cnf(refute_0_21615,plain,
    ( bigC(c,c,b) != bigC(a,b,b)
    | product(bigC(c,c,b),product(a,a)) != product(bigC(c,c,b),product(a,a))
    | product(bigC(c,c,b),product(a,a)) = product(bigC(a,b,b),product(a,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,b),product(a,a)),product(bigC(c,c,b),product(a,a))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_21616,plain,
    ( bigC(c,c,b) != bigC(a,b,b)
    | product(bigC(c,c,b),product(a,a)) = product(bigC(a,b,b),product(a,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),product(a,a)),product(bigC(c,c,b),product(a,a))) )],[refute_0_21614,refute_0_21615]) ).

cnf(refute_0_21617,plain,
    product(bigC(c,c,b),product(a,a)) = product(bigC(a,b,b),product(a,a)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(a,b,b)) )],[refute_0_4263,refute_0_21616]) ).

cnf(refute_0_21618,plain,
    ( product(bigC(a,b,b),product(a,a)) != product(bigC(a,b,b),a)
    | product(bigC(c,c,b),product(a,a)) != product(bigC(a,b,b),product(a,a))
    | product(bigC(c,c,b),product(a,a)) = product(bigC(a,b,b),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,c,b),product(a,a)))),bind(Y,$fot(product(bigC(a,b,b),product(a,a)))),bind(Z,$fot(product(bigC(a,b,b),a)))]]) ).

cnf(refute_0_21619,plain,
    ( product(bigC(a,b,b),product(a,a)) != product(bigC(a,b,b),a)
    | product(bigC(c,c,b),product(a,a)) = product(bigC(a,b,b),a) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),product(a,a)),product(bigC(a,b,b),product(a,a))) )],[refute_0_21617,refute_0_21618]) ).

cnf(refute_0_21620,plain,
    product(bigC(c,c,b),product(a,a)) = product(bigC(a,b,b),a),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(a,a)),product(bigC(a,b,b),a)) )],[refute_0_21613,refute_0_21619]) ).

cnf(refute_0_21621,plain,
    product(product(c,a),product(product(b,c),a)) = product(bigC(c,c,b),product(a,a)),
    inference(subst,[],[refute_0_5728:[bind(A,$fot(c)),bind(B,$fot(a)),bind(D,$fot(a)),bind(X_84,$fot(b))]]) ).

cnf(refute_0_21622,plain,
    ( product(bigC(c,c,b),product(a,a)) != product(bigC(a,b,b),a)
    | product(product(c,a),product(product(b,c),a)) != product(bigC(c,c,b),product(a,a))
    | product(product(c,a),product(product(b,c),a)) = product(bigC(a,b,b),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(product(b,c),a)))),bind(Y,$fot(product(bigC(c,c,b),product(a,a)))),bind(Z,$fot(product(bigC(a,b,b),a)))]]) ).

cnf(refute_0_21623,plain,
    ( product(bigC(c,c,b),product(a,a)) != product(bigC(a,b,b),a)
    | product(product(c,a),product(product(b,c),a)) = product(bigC(a,b,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),a)),product(bigC(c,c,b),product(a,a))) )],[refute_0_21621,refute_0_21622]) ).

cnf(refute_0_21624,plain,
    product(product(c,a),product(product(b,c),a)) = product(bigC(a,b,b),a),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,b),product(a,a)),product(bigC(a,b,b),a)) )],[refute_0_21620,refute_0_21623]) ).

cnf(refute_0_21625,plain,
    difference(product(a,product(b,a)),bigC(a,product(b,a),product(b,c))) = product(product(b,c),a),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(a)),bind(X_22,$fot(product(b,a))),bind(X_23,$fot(product(b,c)))]]) ).

cnf(refute_0_21626,plain,
    difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) = bigC(a,product(b,a),product(b,c)),
    inference(subst,[],[sos01:[bind(A,$fot(product(a,product(b,c)))),bind(B,$fot(bigC(a,product(b,a),product(b,c))))]]) ).

cnf(refute_0_21627,plain,
    difference(product(product(product(product(b,a),a),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(product(b,a),a))),bind(X_16,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_21628,plain,
    ( difference(product(product(product(product(b,a),a),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | product(product(product(b,a),a),product(a,product(b,c))) != bigC(a,a,c)
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(product(b,a),a),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))) ),[0,0,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_21629,plain,
    ( difference(product(product(product(product(b,a),a),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),product(a,product(b,c))),bigC(a,a,c)) )],[refute_0_13419,refute_0_21628]) ).

cnf(refute_0_21630,plain,
    difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(product(b,a),a),product(a,product(b,c))),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))) )],[refute_0_21627,refute_0_21629]) ).

cnf(refute_0_21631,plain,
    difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))))]]) ).

cnf(refute_0_21632,plain,
    ( difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) != difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c)))
    | product(bigC(a,a,c),product(a,product(b,c))) != product(a,c)
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,c),product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c)))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_21633,plain,
    ( product(bigC(a,a,c),product(a,product(b,c))) != product(a,c)
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,c),product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c)))) )],[refute_0_21631,refute_0_21632]) ).

cnf(refute_0_21634,plain,
    difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = difference(product(a,c),product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(a,product(b,c))),product(a,c)) )],[refute_0_7665,refute_0_21633]) ).

cnf(refute_0_21635,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) != difference(product(a,c),product(a,product(b,c)))
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))))),bind(Y,$fot(difference(product(a,c),product(a,product(b,c))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_21636,plain,
    ( difference(product(a,c),product(a,product(b,c))) != c
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),difference(product(a,c),product(a,product(b,c)))) )],[refute_0_21634,refute_0_21635]) ).

cnf(refute_0_21637,plain,
    difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) = c,
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(a,product(b,c))),c) )],[refute_0_451,refute_0_21636]) ).

cnf(refute_0_21638,plain,
    ( difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) != c
    | difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | c = product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))) ),[0],$fot(c)]]) ).

cnf(refute_0_21639,plain,
    ( difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | c = product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),c) )],[refute_0_21637,refute_0_21638]) ).

cnf(refute_0_21640,plain,
    product(product(a,product(b,a)),product(product(b,c),a)) = bigC(a,product(b,a),product(b,c)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(product(b,a))),bind(C,$fot(product(b,c)))]]) ).

cnf(refute_0_21641,plain,
    product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) = product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))),
    introduced(tautology,[refl,[$fot(product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))))]]) ).

cnf(refute_0_21642,plain,
    ( product(product(a,product(b,a)),product(product(b,c),a)) != bigC(a,product(b,a),product(b,c))
    | product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) != product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a)))
    | product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))),product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a)))) ),[1,1],$fot(bigC(a,product(b,a),product(b,c)))]]) ).

cnf(refute_0_21643,plain,
    ( product(product(a,product(b,a)),product(product(b,c),a)) != bigC(a,product(b,a),product(b,c))
    | product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))),product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a)))) )],[refute_0_21641,refute_0_21642]) ).

cnf(refute_0_21644,plain,
    product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,a)),product(product(b,c),a)),bigC(a,product(b,a),product(b,c))) )],[refute_0_21640,refute_0_21643]) ).

cnf(refute_0_21645,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) = product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(a,product(b,c)))),bind(X_63,$fot(a)),bind(X_64,$fot(product(b,a))),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(a))]]) ).

cnf(refute_0_21646,plain,
    ( product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) != product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) != product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))))),bind(Y,$fot(product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))))),bind(Z,$fot(product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))))]]) ).

cnf(refute_0_21647,plain,
    ( product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))) != product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))),product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a)))) )],[refute_0_21645,refute_0_21646]) ).

cnf(refute_0_21648,plain,
    product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,a)),product(product(b,c),a))),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) )],[refute_0_21644,refute_0_21647]) ).

cnf(refute_0_21649,plain,
    ( c != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))) != product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))
    | c = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(c,product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) ),[0],$fot(product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))))]]) ).

cnf(refute_0_21650,plain,
    ( c != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | c = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a))),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) )],[refute_0_21648,refute_0_21649]) ).

cnf(refute_0_21651,plain,
    ( difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))) != product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))
    | c = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) ),
    inference(resolve,[$cnf( $equal(c,product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))) )],[refute_0_21639,refute_0_21650]) ).

cnf(refute_0_21652,plain,
    c = product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),product(a,product(b,c))),product(a,product(b,c))),product(product(a,product(b,c)),product(product(a,product(b,c)),product(product(b,a),a)))) )],[refute_0_21630,refute_0_21651]) ).

cnf(refute_0_21653,plain,
    ( c != product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))
    | product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))))]]) ).

cnf(refute_0_21654,plain,
    product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) = c,
    inference(resolve,[$cnf( $equal(c,product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) )],[refute_0_21652,refute_0_21653]) ).

cnf(refute_0_21655,plain,
    ( difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) != bigC(a,product(b,a),product(b,c))
    | product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))) != c
    | difference(product(a,product(b,c)),c) = bigC(a,product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))),bigC(a,product(b,a),product(b,c))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_21656,plain,
    ( difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))) != bigC(a,product(b,a),product(b,c))
    | difference(product(a,product(b,c)),c) = bigC(a,product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c))),c) )],[refute_0_21654,refute_0_21655]) ).

cnf(refute_0_21657,plain,
    difference(product(a,product(b,c)),c) = bigC(a,product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),product(product(a,product(b,c)),bigC(a,product(b,a),product(b,c)))),bigC(a,product(b,a),product(b,c))) )],[refute_0_21626,refute_0_21656]) ).

cnf(refute_0_21658,plain,
    difference(product(product(a,c),c),c) = product(c,product(c,quotient(product(a,c),c))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(a,c))),bind(X_20,$fot(c))]]) ).

cnf(refute_0_21659,plain,
    ( difference(product(product(a,c),c),c) != product(c,product(c,quotient(product(a,c),c)))
    | product(product(a,c),c) != product(a,product(b,c))
    | difference(product(a,product(b,c)),c) = product(c,product(c,quotient(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),c),c),product(c,product(c,quotient(product(a,c),c)))) ),[0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_21660,plain,
    ( difference(product(product(a,c),c),c) != product(c,product(c,quotient(product(a,c),c)))
    | difference(product(a,product(b,c)),c) = product(c,product(c,quotient(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_21659]) ).

cnf(refute_0_21661,plain,
    difference(product(a,product(b,c)),c) = product(c,product(c,quotient(product(a,c),c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),c),c),product(c,product(c,quotient(product(a,c),c)))) )],[refute_0_21658,refute_0_21660]) ).

cnf(refute_0_21662,plain,
    difference(product(product(a,c),c),c) = product(c,product(c,a)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(a)),bind(X_16,$fot(c))]]) ).

cnf(refute_0_21663,plain,
    product(c,product(c,quotient(product(a,c),c))) = difference(product(product(a,c),c),c),
    inference(subst,[],[refute_0_1939:[bind(X_19,$fot(product(a,c))),bind(X_20,$fot(c))]]) ).

cnf(refute_0_21664,plain,
    ( difference(product(product(a,c),c),c) != product(c,product(c,a))
    | product(c,product(c,quotient(product(a,c),c))) != difference(product(product(a,c),c),c)
    | product(c,product(c,quotient(product(a,c),c))) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,quotient(product(a,c),c))))),bind(Y,$fot(difference(product(product(a,c),c),c))),bind(Z,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_21665,plain,
    ( difference(product(product(a,c),c),c) != product(c,product(c,a))
    | product(c,product(c,quotient(product(a,c),c))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(product(a,c),c))),difference(product(product(a,c),c),c)) )],[refute_0_21663,refute_0_21664]) ).

cnf(refute_0_21666,plain,
    product(c,product(c,quotient(product(a,c),c))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),c),c),product(c,product(c,a))) )],[refute_0_21662,refute_0_21665]) ).

cnf(refute_0_21667,plain,
    ( difference(product(a,product(b,c)),c) != product(c,product(c,quotient(product(a,c),c)))
    | product(c,product(c,quotient(product(a,c),c))) != product(c,product(c,a))
    | difference(product(a,product(b,c)),c) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,product(b,c)),c),product(c,product(c,a))) ),[0],$fot(product(c,product(c,quotient(product(a,c),c))))]]) ).

cnf(refute_0_21668,plain,
    ( difference(product(a,product(b,c)),c) != product(c,product(c,quotient(product(a,c),c)))
    | difference(product(a,product(b,c)),c) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,quotient(product(a,c),c))),product(c,product(c,a))) )],[refute_0_21666,refute_0_21667]) ).

cnf(refute_0_21669,plain,
    difference(product(a,product(b,c)),c) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),c),product(c,product(c,quotient(product(a,c),c)))) )],[refute_0_21661,refute_0_21668]) ).

cnf(refute_0_21670,plain,
    ( difference(product(a,product(b,c)),c) != bigC(a,product(b,a),product(b,c))
    | difference(product(a,product(b,c)),c) != product(c,product(c,a))
    | product(c,product(c,a)) = bigC(a,product(b,a),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,c)),c),bigC(a,product(b,a),product(b,c))) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_21671,plain,
    ( difference(product(a,product(b,c)),c) != bigC(a,product(b,a),product(b,c))
    | product(c,product(c,a)) = bigC(a,product(b,a),product(b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),c),product(c,product(c,a))) )],[refute_0_21669,refute_0_21670]) ).

cnf(refute_0_21672,plain,
    product(c,product(c,a)) = bigC(a,product(b,a),product(b,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,c)),c),bigC(a,product(b,a),product(b,c))) )],[refute_0_21657,refute_0_21671]) ).

cnf(refute_0_21673,plain,
    ( product(c,product(c,a)) != bigC(a,product(b,a),product(b,c))
    | bigC(a,product(b,a),product(b,c)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(bigC(a,product(b,a),product(b,c))))]]) ).

cnf(refute_0_21674,plain,
    bigC(a,product(b,a),product(b,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),bigC(a,product(b,a),product(b,c))) )],[refute_0_21672,refute_0_21673]) ).

cnf(refute_0_21675,plain,
    ( bigC(a,product(b,a),product(b,c)) != product(c,product(c,a))
    | difference(product(a,product(b,a)),bigC(a,product(b,a),product(b,c))) != product(product(b,c),a)
    | difference(product(a,product(b,a)),product(c,product(c,a))) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,a)),bigC(a,product(b,a),product(b,c))),product(product(b,c),a)) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_21676,plain,
    ( difference(product(a,product(b,a)),bigC(a,product(b,a),product(b,c))) != product(product(b,c),a)
    | difference(product(a,product(b,a)),product(c,product(c,a))) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,a),product(b,c)),product(c,product(c,a))) )],[refute_0_21674,refute_0_21675]) ).

cnf(refute_0_21677,plain,
    difference(product(a,product(b,a)),product(c,product(c,a))) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),bigC(a,product(b,a),product(b,c))),product(product(b,c),a)) )],[refute_0_21625,refute_0_21676]) ).

cnf(refute_0_21678,plain,
    difference(product(a,product(b,a)),product(c,product(c,a))) = difference(product(a,product(b,a)),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(difference(product(a,product(b,a)),product(c,product(c,a))))]]) ).

cnf(refute_0_21679,plain,
    ( difference(product(a,product(b,a)),product(c,product(c,a))) != difference(product(a,product(b,a)),product(c,product(c,a)))
    | product(a,product(b,a)) != bigC(a,a,b)
    | difference(product(a,product(b,a)),product(c,product(c,a))) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,a)),product(c,product(c,a))),difference(product(a,product(b,a)),product(c,product(c,a)))) ),[1,0],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_21680,plain,
    ( product(a,product(b,a)) != bigC(a,a,b)
    | difference(product(a,product(b,a)),product(c,product(c,a))) = difference(bigC(a,a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,product(c,a))),difference(product(a,product(b,a)),product(c,product(c,a)))) )],[refute_0_21678,refute_0_21679]) ).

cnf(refute_0_21681,plain,
    difference(product(a,product(b,a)),product(c,product(c,a))) = difference(bigC(a,a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(product(a,product(b,a)),bigC(a,a,b)) )],[refute_0_5244,refute_0_21680]) ).

cnf(refute_0_21682,plain,
    ( difference(bigC(a,a,b),product(c,product(c,a))) != quotient(product(c,a),bigC(a,a,b))
    | difference(product(a,product(b,a)),product(c,product(c,a))) != difference(bigC(a,a,b),product(c,product(c,a)))
    | difference(product(a,product(b,a)),product(c,product(c,a))) = quotient(product(c,a),bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(a,product(b,a)),product(c,product(c,a))))),bind(Y,$fot(difference(bigC(a,a,b),product(c,product(c,a))))),bind(Z,$fot(quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_21683,plain,
    ( difference(bigC(a,a,b),product(c,product(c,a))) != quotient(product(c,a),bigC(a,a,b))
    | difference(product(a,product(b,a)),product(c,product(c,a))) = quotient(product(c,a),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,product(c,a))),difference(bigC(a,a,b),product(c,product(c,a)))) )],[refute_0_21681,refute_0_21682]) ).

cnf(refute_0_21684,plain,
    difference(product(a,product(b,a)),product(c,product(c,a))) = quotient(product(c,a),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(difference(bigC(a,a,b),product(c,product(c,a))),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_6929,refute_0_21683]) ).

cnf(refute_0_21685,plain,
    ( difference(product(a,product(b,a)),product(c,product(c,a))) != product(product(b,c),a)
    | difference(product(a,product(b,a)),product(c,product(c,a))) != quotient(product(c,a),bigC(a,a,b))
    | quotient(product(c,a),bigC(a,a,b)) = product(product(b,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,product(b,a)),product(c,product(c,a))),product(product(b,c),a)) ),[0],$fot(quotient(product(c,a),bigC(a,a,b)))]]) ).

cnf(refute_0_21686,plain,
    ( difference(product(a,product(b,a)),product(c,product(c,a))) != product(product(b,c),a)
    | quotient(product(c,a),bigC(a,a,b)) = product(product(b,c),a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,product(c,a))),quotient(product(c,a),bigC(a,a,b))) )],[refute_0_21684,refute_0_21685]) ).

cnf(refute_0_21687,plain,
    quotient(product(c,a),bigC(a,a,b)) = product(product(b,c),a),
    inference(resolve,[$cnf( $equal(difference(product(a,product(b,a)),product(c,product(c,a))),product(product(b,c),a)) )],[refute_0_21677,refute_0_21686]) ).

cnf(refute_0_21688,plain,
    product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(product(c,a),quotient(product(c,a),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(product(c,a),quotient(product(c,a),bigC(a,a,b))))]]) ).

cnf(refute_0_21689,plain,
    ( product(product(c,a),quotient(product(c,a),bigC(a,a,b))) != product(product(c,a),quotient(product(c,a),bigC(a,a,b)))
    | quotient(product(c,a),bigC(a,a,b)) != product(product(b,c),a)
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(product(c,a),product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(a,a,b))),product(product(c,a),quotient(product(c,a),bigC(a,a,b)))) ),[1,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_21690,plain,
    ( quotient(product(c,a),bigC(a,a,b)) != product(product(b,c),a)
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(product(c,a),product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(a,a,b))),product(product(c,a),quotient(product(c,a),bigC(a,a,b)))) )],[refute_0_21688,refute_0_21689]) ).

cnf(refute_0_21691,plain,
    product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(product(c,a),product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,b)),product(product(b,c),a)) )],[refute_0_21687,refute_0_21690]) ).

cnf(refute_0_21692,plain,
    ( product(product(c,a),product(product(b,c),a)) != product(bigC(a,b,b),a)
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) != product(product(c,a),product(product(b,c),a))
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(bigC(a,b,b),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),quotient(product(c,a),bigC(a,a,b))))),bind(Y,$fot(product(product(c,a),product(product(b,c),a)))),bind(Z,$fot(product(bigC(a,b,b),a)))]]) ).

cnf(refute_0_21693,plain,
    ( product(product(c,a),product(product(b,c),a)) != product(bigC(a,b,b),a)
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(bigC(a,b,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(a,a,b))),product(product(c,a),product(product(b,c),a))) )],[refute_0_21691,refute_0_21692]) ).

cnf(refute_0_21694,plain,
    product(product(c,a),quotient(product(c,a),bigC(a,a,b))) = product(bigC(a,b,b),a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),a)),product(bigC(a,b,b),a)) )],[refute_0_21624,refute_0_21693]) ).

cnf(refute_0_21695,plain,
    ( product(product(c,a),quotient(product(c,a),bigC(a,a,b))) != product(bigC(a,b,b),a)
    | product(product(c,a),quotient(product(c,a),bigC(a,a,b))) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(bigC(a,b,b),a) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(a,a,b))),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) ),[0],$fot(product(bigC(a,b,b),a))]]) ).

cnf(refute_0_21696,plain,
    ( product(product(c,a),quotient(product(c,a),bigC(a,a,b))) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(bigC(a,b,b),a) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(a,a,b))),product(bigC(a,b,b),a)) )],[refute_0_21694,refute_0_21695]) ).

cnf(refute_0_21697,plain,
    difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(product(a,product(b,c)),bigC(a,a,c)))),bind(X_20,$fot(product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21698,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))))
    | quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != bigC(a,a,c)
    | difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))))) ),[1,1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_21699,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))))
    | difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),bigC(a,a,c)) )],[refute_0_8567,refute_0_21698]) ).

cnf(refute_0_21700,plain,
    difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),quotient(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))))) )],[refute_0_21697,refute_0_21699]) ).

cnf(refute_0_21701,plain,
    product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) = product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21702,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) != product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c)))
    | product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) = product(product(product(a,b),c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))),product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_21703,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) = product(product(product(a,b),c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))),product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21701,refute_0_21702]) ).

cnf(refute_0_21704,plain,
    product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) = product(product(product(a,b),c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,a,c)) )],[refute_0_8564,refute_0_21703]) ).

cnf(refute_0_21705,plain,
    product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)) = product(product(product(a,product(b,c)),bigC(c,b,c)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(product(a,product(b,c)))),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_21706,plain,
    ( product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)) != product(product(product(a,product(b,c)),bigC(c,b,c)),product(B,D))
    | product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)) = product(product(product(a,b),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)),product(product(product(a,product(b,c)),bigC(c,b,c)),product(B,D))) ),[1,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_21707,plain,
    ( product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)) != product(product(product(a,product(b,c)),bigC(c,b,c)),product(B,D))
    | product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)) = product(product(product(a,b),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,b),c)) )],[refute_0_10997,refute_0_21706]) ).

cnf(refute_0_21708,plain,
    product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)) = product(product(product(a,b),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),B),product(bigC(c,b,c),D)),product(product(product(a,product(b,c)),bigC(c,b,c)),product(B,D))) )],[refute_0_21705,refute_0_21707]) ).

cnf(refute_0_21709,plain,
    product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))),
    inference(subst,[],[refute_0_21708:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21710,plain,
    ( product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) != product(product(product(a,b),c),bigC(a,a,c))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c)))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(product(product(a,b),c),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))))),bind(Y,$fot(product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))))),bind(Z,$fot(product(product(product(a,b),c),bigC(a,a,c))))]]) ).

cnf(refute_0_21711,plain,
    ( product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))) != product(product(product(a,b),c),bigC(a,a,c))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(product(product(a,b),c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21709,refute_0_21710]) ).

cnf(refute_0_21712,plain,
    product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(product(product(a,b),c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(bigC(a,a,c),bigC(a,a,c))),product(product(product(a,b),c),bigC(a,a,c))) )],[refute_0_21704,refute_0_21711]) ).

cnf(refute_0_21713,plain,
    difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21714,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c)))
    | product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(product(product(a,b),c),bigC(a,a,c))
    | difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c)))) ),[1,0],$fot(product(product(product(a,b),c),bigC(a,a,c)))]]) ).

cnf(refute_0_21715,plain,
    ( product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(product(product(a,b),c),bigC(a,a,c))
    | difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21713,refute_0_21714]) ).

cnf(refute_0_21716,plain,
    difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(product(product(a,b),c),bigC(a,a,c))) )],[refute_0_21712,refute_0_21715]) ).

cnf(refute_0_21717,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))) ),[0],$fot(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21718,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21716,refute_0_21717]) ).

cnf(refute_0_21719,plain,
    product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21720,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c)))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_21721,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21719,refute_0_21720]) ).

cnf(refute_0_21722,plain,
    product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,a,c)) )],[refute_0_8564,refute_0_21721]) ).

cnf(refute_0_21723,plain,
    product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(c,b,c))),bind(C,$fot(product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21724,plain,
    difference(product(product(bigC(a,a,c),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(bigC(a,a,c))),bind(X_16,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_21725,plain,
    ( difference(product(product(bigC(a,a,c),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(a,a,c),bigC(c,b,c)) != product(a,product(b,c))
    | difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,c),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) ),[0,0,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_21726,plain,
    ( difference(product(product(bigC(a,a,c),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(c,b,c)),product(a,product(b,c))) )],[refute_0_416,refute_0_21725]) ).

cnf(refute_0_21727,plain,
    difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),bigC(c,b,c)),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21724,refute_0_21726]) ).

cnf(refute_0_21728,plain,
    difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)))]]) ).

cnf(refute_0_21729,plain,
    ( difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) != difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c))
    | product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c))) ),[1,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_21730,plain,
    ( product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c))) )],[refute_0_21728,refute_0_21729]) ).

cnf(refute_0_21731,plain,
    difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,b),c)) )],[refute_0_10997,refute_0_21730]) ).

cnf(refute_0_21732,plain,
    ( difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(c,b,c))
    | difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) ),[0],$fot(difference(product(product(a,b),c),bigC(c,b,c)))]]) ).

cnf(refute_0_21733,plain,
    ( difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),difference(product(product(a,b),c),bigC(c,b,c))) )],[refute_0_21731,refute_0_21732]) ).

cnf(refute_0_21734,plain,
    difference(product(product(a,b),c),bigC(c,b,c)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),bigC(c,b,c)),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21727,refute_0_21733]) ).

cnf(refute_0_21735,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(a,b),c),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(product(a,b),c),bigC(c,b,c)))),bind(Y,$fot(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))))]]) ).

cnf(refute_0_21736,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(a,b),c),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21734,refute_0_21735]) ).

cnf(refute_0_21737,plain,
    ( product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) != difference(product(product(a,b),c),bigC(c,b,c))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(B,D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(B,D))) ),[1,0],$fot(difference(product(product(a,b),c),bigC(c,b,c)))]]) ).

cnf(refute_0_21738,plain,
    ( product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(B,D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(a,b),c),bigC(c,b,c))) )],[refute_0_21736,refute_0_21737]) ).

cnf(refute_0_21739,plain,
    product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(B,D))) )],[refute_0_21723,refute_0_21738]) ).

cnf(refute_0_21740,plain,
    product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))),
    inference(subst,[],[refute_0_21739:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21741,plain,
    ( product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c)))
    | product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))))),bind(Y,$fot(product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))))),bind(Z,$fot(product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_21742,plain,
    ( product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21740,refute_0_21741]) ).

cnf(refute_0_21743,plain,
    product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(a,a,c),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) )],[refute_0_21722,refute_0_21742]) ).

cnf(refute_0_21744,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))
    | product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) ),[0],$fot(product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_21745,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) )],[refute_0_21743,refute_0_21744]) ).

cnf(refute_0_21746,plain,
    ( difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))) != product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))) )],[refute_0_21718,refute_0_21745]) ).

cnf(refute_0_21747,plain,
    difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,product(b,c)),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),bigC(a,a,c))),product(product(bigC(c,b,c),bigC(a,a,c)),product(product(bigC(c,b,c),bigC(a,a,c)),bigC(a,a,c)))) )],[refute_0_21700,refute_0_21746]) ).

cnf(refute_0_21748,plain,
    difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21749,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))) ),[1,1],$fot(product(bigC(b,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_21750,plain,
    ( product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21748,refute_0_21749]) ).

cnf(refute_0_21751,plain,
    difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8571,refute_0_21750]) ).

cnf(refute_0_21752,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) ),[0],$fot(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21753,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21751,refute_0_21752]) ).

cnf(refute_0_21754,plain,
    difference(product(product(a,b),c),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),c),bigC(c,b,c)))]]) ).

cnf(refute_0_21755,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(product(a,b),c),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(c,b,c))
    | difference(product(product(a,b),c),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),difference(product(product(a,b),c),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_21756,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | difference(product(product(a,b),c),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),difference(product(product(a,b),c),bigC(c,b,c))) )],[refute_0_21754,refute_0_21755]) ).

cnf(refute_0_21757,plain,
    difference(product(product(a,b),c),bigC(c,b,c)) = difference(product(product(a,b),c),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_21756]) ).

cnf(refute_0_21758,plain,
    product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) = product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_21759,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) ),[1,0],$fot(difference(product(product(a,b),c),bigC(b,a,b)))]]) ).

cnf(refute_0_21760,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) )],[refute_0_21758,refute_0_21759]) ).

cnf(refute_0_21761,plain,
    product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),difference(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_21757,refute_0_21760]) ).

cnf(refute_0_21762,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) ),[0],$fot(product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_21763,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c)),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21761,refute_0_21762]) ).

cnf(refute_0_21764,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) )],[refute_0_21753,refute_0_21763]) ).

cnf(refute_0_21765,plain,
    difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(c,b,c),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(c,b,c)),bigC(a,a,c))) )],[refute_0_21747,refute_0_21764]) ).

cnf(refute_0_21766,plain,
    product(bigC(c,c,c),bigC(a,a,b)) = product(bigC(c,c,c),bigC(a,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,c),bigC(a,a,b)))]]) ).

cnf(refute_0_21767,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(a,a,b)) != product(bigC(c,c,c),bigC(a,a,b))
    | product(bigC(c,c,c),bigC(a,a,b)) = product(c,bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,b)),product(bigC(c,c,c),bigC(a,a,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_21768,plain,
    ( bigC(c,c,c) != c
    | product(bigC(c,c,c),bigC(a,a,b)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,b)),product(bigC(c,c,c),bigC(a,a,b))) )],[refute_0_21766,refute_0_21767]) ).

cnf(refute_0_21769,plain,
    product(bigC(c,c,c),bigC(a,a,b)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,c,c),c) )],[refute_0_3568,refute_0_21768]) ).

cnf(refute_0_21770,plain,
    product(product(c,product(c,b)),bigC(a,a,c)) = product(bigC(c,c,c),bigC(a,a,b)),
    inference(subst,[],[refute_0_674:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(b)),bind(D,$fot(a))]]) ).

cnf(refute_0_21771,plain,
    ( product(bigC(c,c,c),bigC(a,a,b)) != product(c,bigC(a,a,b))
    | product(product(c,product(c,b)),bigC(a,a,c)) != product(bigC(c,c,c),bigC(a,a,b))
    | product(product(c,product(c,b)),bigC(a,a,c)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),bigC(a,a,c)))),bind(Y,$fot(product(bigC(c,c,c),bigC(a,a,b)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_21772,plain,
    ( product(bigC(c,c,c),bigC(a,a,b)) != product(c,bigC(a,a,b))
    | product(product(c,product(c,b)),bigC(a,a,c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,a,c)),product(bigC(c,c,c),bigC(a,a,b))) )],[refute_0_21770,refute_0_21771]) ).

cnf(refute_0_21773,plain,
    product(product(c,product(c,b)),bigC(a,a,c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,c),bigC(a,a,b)),product(c,bigC(a,a,b))) )],[refute_0_21769,refute_0_21772]) ).

cnf(refute_0_21774,plain,
    product(product(product(a,b),c),bigC(a,a,c)) = product(product(product(a,b),c),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),c),bigC(a,a,c)))]]) ).

cnf(refute_0_21775,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),bigC(a,a,c)) != product(product(product(a,b),c),bigC(a,a,c))
    | product(product(product(a,b),c),bigC(a,a,c)) = product(product(c,product(c,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),c),bigC(a,a,c)),product(product(product(a,b),c),bigC(a,a,c))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_21776,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | product(product(product(a,b),c),bigC(a,a,c)) = product(product(c,product(c,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(a,a,c)),product(product(product(a,b),c),bigC(a,a,c))) )],[refute_0_21774,refute_0_21775]) ).

cnf(refute_0_21777,plain,
    product(product(product(a,b),c),bigC(a,a,c)) = product(product(c,product(c,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_21776]) ).

cnf(refute_0_21778,plain,
    ( product(product(c,product(c,b)),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | product(product(product(a,b),c),bigC(a,a,c)) != product(product(c,product(c,b)),bigC(a,a,c))
    | product(product(product(a,b),c),bigC(a,a,c)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),bigC(a,a,c)))),bind(Y,$fot(product(product(c,product(c,b)),bigC(a,a,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_21779,plain,
    ( product(product(c,product(c,b)),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | product(product(product(a,b),c),bigC(a,a,c)) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(a,a,c)),product(product(c,product(c,b)),bigC(a,a,c))) )],[refute_0_21777,refute_0_21778]) ).

cnf(refute_0_21780,plain,
    product(product(product(a,b),c),bigC(a,a,c)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),bigC(a,a,c)),product(c,bigC(a,a,b))) )],[refute_0_21773,refute_0_21779]) ).

cnf(refute_0_21781,plain,
    difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21782,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))
    | product(product(product(a,b),c),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_21783,plain,
    ( product(product(product(a,b),c),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21781,refute_0_21782]) ).

cnf(refute_0_21784,plain,
    difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(a,a,c)),product(c,bigC(a,a,b))) )],[refute_0_21780,refute_0_21783]) ).

cnf(refute_0_21785,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) ),[0],$fot(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21786,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21784,refute_0_21785]) ).

cnf(refute_0_21787,plain,
    difference(product(product(a,b),c),bigC(b,a,b)) = difference(product(product(a,b),c),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(product(a,b),c),bigC(b,a,b)))]]) ).

cnf(refute_0_21788,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != difference(product(product(a,b),c),bigC(b,a,b))
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(product(product(a,b),c),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),difference(product(product(a,b),c),bigC(b,a,b))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_21789,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | difference(product(product(a,b),c),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),difference(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_21787,refute_0_21788]) ).

cnf(refute_0_21790,plain,
    difference(product(product(a,b),c),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_21789]) ).

cnf(refute_0_21791,plain,
    product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21792,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) ),[1,0],$fot(difference(product(c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_21793,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21791,refute_0_21792]) ).

cnf(refute_0_21794,plain,
    product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_21790,refute_0_21793]) ).

cnf(refute_0_21795,plain,
    ( difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) ),[0],$fot(product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21796,plain,
    ( difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c)),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21794,refute_0_21795]) ).

cnf(refute_0_21797,plain,
    ( difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21786,refute_0_21796]) ).

cnf(refute_0_21798,plain,
    difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(product(a,b),c),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21765,refute_0_21797]) ).

cnf(refute_0_21799,plain,
    difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21800,plain,
    ( difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) != difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c)))
    | product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c)))) ),[1,1],$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_21801,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21799,refute_0_21800]) ).

cnf(refute_0_21802,plain,
    difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8345,refute_0_21801]) ).

cnf(refute_0_21803,plain,
    ( difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) != difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))
    | difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) ),[0],$fot(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_21804,plain,
    ( difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))) )],[refute_0_21802,refute_0_21803]) ).

cnf(refute_0_21805,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21798,refute_0_21804]) ).

cnf(refute_0_21806,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_21807,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))
    | quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))) ),[1,1],$fot(quotient(c,bigC(a,b,b)))]]) ).

cnf(refute_0_21808,plain,
    ( quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))) )],[refute_0_21806,refute_0_21807]) ).

cnf(refute_0_21809,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(a,b,b))) )],[refute_0_8358,refute_0_21808]) ).

cnf(refute_0_21810,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) ),[0],$fot(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_21811,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b)))) )],[refute_0_21809,refute_0_21810]) ).

cnf(refute_0_21812,plain,
    difference(product(c,product(c,b)),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_21813,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(c,product(c,b)),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(b,a,b))
    | difference(product(c,product(c,b)),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_21814,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(c,product(c,b)),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_21812,refute_0_21813]) ).

cnf(refute_0_21815,plain,
    difference(product(c,product(c,b)),bigC(b,a,b)) = difference(product(c,product(c,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_21814]) ).

cnf(refute_0_21816,plain,
    product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21817,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(a,b,b))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) ),[1,0],$fot(difference(product(c,product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_21818,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(a,b,b))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21816,refute_0_21817]) ).

cnf(refute_0_21819,plain,
    product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(a,b,b))) )],[refute_0_21815,refute_0_21818]) ).

cnf(refute_0_21820,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) ),[0],$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21821,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) )],[refute_0_21819,refute_0_21820]) ).

cnf(refute_0_21822,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21811,refute_0_21821]) ).

cnf(refute_0_21823,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21805,refute_0_21822]) ).

cnf(refute_0_21824,plain,
    difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(bigC(a,a,c))),bind(X_16,$fot(product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21825,plain,
    ( difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))
    | product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)) != quotient(bigC(a,a,c),product(a,c))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))) ),[1,1],$fot(quotient(bigC(a,a,c),product(a,c)))]]) ).

cnf(refute_0_21826,plain,
    ( difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) )],[refute_0_7674,refute_0_21825]) ).

cnf(refute_0_21827,plain,
    difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))) )],[refute_0_21824,refute_0_21826]) ).

cnf(refute_0_21828,plain,
    product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21829,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_21830,plain,
    ( product(bigC(a,a,c),bigC(a,a,c)) != bigC(a,a,c)
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21828,refute_0_21829]) ).

cnf(refute_0_21831,plain,
    product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(a,a,c)),bigC(a,a,c)) )],[refute_0_8564,refute_0_21830]) ).

cnf(refute_0_21832,plain,
    product(product(bigC(c,b,c),bigC(a,a,c)),D) = product(product(bigC(c,b,c),bigC(a,a,c)),D),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,c),bigC(a,a,c)),D))]]) ).

cnf(refute_0_21833,plain,
    ( product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(product(bigC(c,b,c),bigC(a,a,c)),D) != product(product(bigC(c,b,c),bigC(a,a,c)),D)
    | product(product(bigC(c,b,c),bigC(a,a,c)),D) = product(product(bigC(b,a,b),bigC(a,a,c)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,c),bigC(a,a,c)),D),product(product(bigC(c,b,c),bigC(a,a,c)),D)) ),[1,0],$fot(product(bigC(b,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_21834,plain,
    ( product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(product(bigC(c,b,c),bigC(a,a,c)),D) = product(product(bigC(b,a,b),bigC(a,a,c)),D) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),bigC(a,a,c)),D),product(product(bigC(c,b,c),bigC(a,a,c)),D)) )],[refute_0_21832,refute_0_21833]) ).

cnf(refute_0_21835,plain,
    product(product(bigC(c,b,c),bigC(a,a,c)),D) = product(product(bigC(b,a,b),bigC(a,a,c)),D),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8571,refute_0_21834]) ).

cnf(refute_0_21836,plain,
    product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)))]]) ).

cnf(refute_0_21837,plain,
    ( product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))
    | product(product(bigC(c,b,c),bigC(a,a,c)),D) != product(product(bigC(b,a,b),bigC(a,a,c)),D)
    | product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))) ),[1,1],$fot(product(product(bigC(b,a,b),bigC(a,a,c)),D))]]) ).

cnf(refute_0_21838,plain,
    ( product(product(bigC(c,b,c),bigC(a,a,c)),D) != product(product(bigC(b,a,b),bigC(a,a,c)),D)
    | product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))) )],[refute_0_21836,refute_0_21837]) ).

cnf(refute_0_21839,plain,
    product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),bigC(a,a,c)),D),product(product(bigC(b,a,b),bigC(a,a,c)),D)) )],[refute_0_21835,refute_0_21838]) ).

cnf(refute_0_21840,plain,
    product(bigC(c,b,c),B) = product(bigC(c,b,c),B),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),B))]]) ).

cnf(refute_0_21841,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),B) != product(bigC(c,b,c),B)
    | product(bigC(c,b,c),B) = product(bigC(b,a,b),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),B),product(bigC(c,b,c),B)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_21842,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),B) = product(bigC(b,a,b),B) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),B),product(bigC(c,b,c),B)) )],[refute_0_21840,refute_0_21841]) ).

cnf(refute_0_21843,plain,
    product(bigC(c,b,c),B) = product(bigC(b,a,b),B),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_21842]) ).

cnf(refute_0_21844,plain,
    product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)))]]) ).

cnf(refute_0_21845,plain,
    ( product(bigC(c,b,c),B) != product(bigC(b,a,b),B)
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))) ),[1,0],$fot(product(bigC(b,a,b),B))]]) ).

cnf(refute_0_21846,plain,
    ( product(bigC(c,b,c),B) != product(bigC(b,a,b),B)
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))) )],[refute_0_21844,refute_0_21845]) ).

cnf(refute_0_21847,plain,
    product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),B),product(bigC(b,a,b),B)) )],[refute_0_21843,refute_0_21846]) ).

cnf(refute_0_21848,plain,
    ( product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)))),bind(Y,$fot(product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)))),bind(Z,$fot(product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D))))]]) ).

cnf(refute_0_21849,plain,
    ( product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D))) )],[refute_0_21847,refute_0_21848]) ).

cnf(refute_0_21850,plain,
    product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) = product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D))) )],[refute_0_21839,refute_0_21849]) ).

cnf(refute_0_21851,plain,
    ( product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))
    | product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))) ),[0],$fot(product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)))]]) ).

cnf(refute_0_21852,plain,
    ( product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D))) )],[refute_0_21850,refute_0_21851]) ).

cnf(refute_0_21853,plain,
    product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) = product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)))]]) ).

cnf(refute_0_21854,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)),product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))) ),[1,0],$fot(difference(product(product(a,b),c),bigC(b,a,b)))]]) ).

cnf(refute_0_21855,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)),product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))) )],[refute_0_21853,refute_0_21854]) ).

cnf(refute_0_21856,plain,
    product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),difference(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_21757,refute_0_21855]) ).

cnf(refute_0_21857,plain,
    ( product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)) != product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)),product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))) ),[1],$fot(product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_21858,plain,
    ( product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D)),product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))) )],[refute_0_21856,refute_0_21857]) ).

cnf(refute_0_21859,plain,
    ( product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)),product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))) )],[refute_0_21852,refute_0_21858]) ).

cnf(refute_0_21860,plain,
    product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,c),B),product(product(bigC(c,b,c),bigC(a,a,c)),D)),product(difference(product(product(a,b),c),bigC(c,b,c)),product(B,D))) )],[refute_0_21739,refute_0_21859]) ).

cnf(refute_0_21861,plain,
    product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) = product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_21862,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) != product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)),product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))) ),[1,0],$fot(difference(product(c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_21863,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(b,a,b))
    | product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)),product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))) )],[refute_0_21861,refute_0_21862]) ).

cnf(refute_0_21864,plain,
    product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_21790,refute_0_21863]) ).

cnf(refute_0_21865,plain,
    ( product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)),product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))) ),[1],$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)))]]) ).

cnf(refute_0_21866,plain,
    ( product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) != product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))
    | product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D)),product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D))) )],[refute_0_21864,refute_0_21865]) ).

cnf(refute_0_21867,plain,
    product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),B),product(product(bigC(b,a,b),bigC(a,a,c)),D)),product(difference(product(product(a,b),c),bigC(b,a,b)),product(B,D))) )],[refute_0_21860,refute_0_21866]) ).

cnf(refute_0_21868,plain,
    product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),
    inference(subst,[],[refute_0_21867:[bind(B,$fot(bigC(a,a,c))),bind(D,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21869,plain,
    difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),
    inference(subst,[],[refute_0_5747:[bind(X_15,$fot(bigC(a,a,c))),bind(X_65,$fot(bigC(b,a,b))),bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21870,plain,
    ( difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))
    | product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))
    | difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))))),bind(Y,$fot(product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))))),bind(Z,$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))))]]) ).

cnf(refute_0_21871,plain,
    ( product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))
    | difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c)))) )],[refute_0_21869,refute_0_21870]) ).

cnf(refute_0_21872,plain,
    difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21868,refute_0_21871]) ).

cnf(refute_0_21873,plain,
    difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(bigC(a,a,c))),bind(X_64,$fot(product(bigC(b,a,b),bigC(a,a,c)))),bind(X_65,$fot(bigC(b,a,b))),bind(X_66,$fot(bigC(a,a,c)))]]) ).

cnf(refute_0_21874,plain,
    ( difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))))),bind(Y,$fot(difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))))),bind(Z,$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))))]]) ).

cnf(refute_0_21875,plain,
    ( difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21873,refute_0_21874]) ).

cnf(refute_0_21876,plain,
    difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),bigC(b,a,b)),product(product(bigC(b,a,b),bigC(a,a,c)),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21872,refute_0_21875]) ).

cnf(refute_0_21877,plain,
    ( difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))))),bind(Y,$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))))),bind(Z,$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_21878,plain,
    ( product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c)))) )],[refute_0_21876,refute_0_21877]) ).

cnf(refute_0_21879,plain,
    difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) = product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(a,a,c),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21831,refute_0_21878]) ).

cnf(refute_0_21880,plain,
    ( difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21881,plain,
    ( difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21879,refute_0_21880]) ).

cnf(refute_0_21882,plain,
    product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,a,c),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),bigC(a,a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21827,refute_0_21881]) ).

cnf(refute_0_21883,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))))),bind(Y,$fot(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))))]]) ).

cnf(refute_0_21884,plain,
    product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) = difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c))) )],[refute_0_21805,refute_0_21883]) ).

cnf(refute_0_21885,plain,
    ( product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) != difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))
    | product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_21886,plain,
    ( product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b)))) )],[refute_0_21884,refute_0_21885]) ).

cnf(refute_0_21887,plain,
    product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) = product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21888,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) ),[1,0],$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_21889,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21887,refute_0_21888]) ).

cnf(refute_0_21890,plain,
    product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8345,refute_0_21889]) ).

cnf(refute_0_21891,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21892,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21890,refute_0_21891]) ).

cnf(refute_0_21893,plain,
    ( product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)) != product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21886,refute_0_21892]) ).

cnf(refute_0_21894,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(b,a,b)),bigC(a,a,c)),product(product(bigC(b,a,b),bigC(a,a,c)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21882,refute_0_21893]) ).

cnf(refute_0_21895,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_21896,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b)))) )],[refute_0_21809,refute_0_21895]) ).

cnf(refute_0_21897,plain,
    product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21898,plain,
    ( product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) ),[1,0],$fot(quotient(c,bigC(a,b,b)))]]) ).

cnf(refute_0_21899,plain,
    ( quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21897,refute_0_21898]) ).

cnf(refute_0_21900,plain,
    product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(a,b,b))) )],[refute_0_8358,refute_0_21899]) ).

cnf(refute_0_21901,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))) != product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))) ),[0],$fot(product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21902,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21900,refute_0_21901]) ).

cnf(refute_0_21903,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))) != product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21896,refute_0_21902]) ).

cnf(refute_0_21904,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(b,a,b))),product(quotient(c,bigC(b,a,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21894,refute_0_21903]) ).

cnf(refute_0_21905,plain,
    product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))),
    introduced(tautology,[refl,[$fot(product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21906,plain,
    ( product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) != product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))
    | quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_21907,plain,
    ( quotient(bigC(a,a,c),product(a,c)) != product(c,a)
    | product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21905,refute_0_21906]) ).

cnf(refute_0_21908,plain,
    product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) = product(quotient(c,bigC(a,b,b)),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),product(a,c)),product(c,a)) )],[refute_0_8233,refute_0_21907]) ).

cnf(refute_0_21909,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))
    | product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))) != product(quotient(c,bigC(a,b,b)),product(c,a))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(quotient(c,bigC(a,b,b)),product(c,a))) ),[0],$fot(product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))))]]) ).

cnf(refute_0_21910,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c))),product(quotient(c,bigC(a,b,b)),product(c,a))) )],[refute_0_21908,refute_0_21909]) ).

cnf(refute_0_21911,plain,
    difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) = product(quotient(c,bigC(a,b,b)),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(quotient(c,bigC(a,b,b)),quotient(bigC(a,a,c),product(a,c)))) )],[refute_0_21904,refute_0_21910]) ).

cnf(refute_0_21912,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(quotient(c,bigC(a,b,b)),product(c,a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) ),[0],$fot(product(quotient(c,bigC(a,b,b)),product(c,a)))]]) ).

cnf(refute_0_21913,plain,
    ( difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(quotient(c,bigC(a,b,b)),product(c,a))) )],[refute_0_21911,refute_0_21912]) ).

cnf(refute_0_21914,plain,
    product(quotient(c,bigC(a,b,b)),product(c,a)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(a,a,b)),quotient(c,bigC(a,b,b))),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) )],[refute_0_21823,refute_0_21913]) ).

cnf(refute_0_21915,plain,
    product(product(c,product(c,a)),product(c,a)) = product(c,product(product(c,a),a)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(a))]]) ).

cnf(refute_0_21916,plain,
    product(quotient(c,bigC(a,b,b)),product(c,a)) = product(quotient(c,bigC(a,b,b)),product(c,a)),
    introduced(tautology,[refl,[$fot(product(quotient(c,bigC(a,b,b)),product(c,a)))]]) ).

cnf(refute_0_21917,plain,
    ( product(quotient(c,bigC(a,b,b)),product(c,a)) != product(quotient(c,bigC(a,b,b)),product(c,a))
    | quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) = product(product(c,product(c,a)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),product(c,a)),product(quotient(c,bigC(a,b,b)),product(c,a))) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_21918,plain,
    ( quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) = product(product(c,product(c,a)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),product(c,a)),product(quotient(c,bigC(a,b,b)),product(c,a))) )],[refute_0_21916,refute_0_21917]) ).

cnf(refute_0_21919,plain,
    product(quotient(c,bigC(a,b,b)),product(c,a)) = product(product(c,product(c,a)),product(c,a)),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,b)),product(c,product(c,a))) )],[refute_0_8521,refute_0_21918]) ).

cnf(refute_0_21920,plain,
    ( product(product(c,product(c,a)),product(c,a)) != product(c,product(product(c,a),a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) != product(product(c,product(c,a)),product(c,a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) = product(c,product(product(c,a),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(c,bigC(a,b,b)),product(c,a)))),bind(Y,$fot(product(product(c,product(c,a)),product(c,a)))),bind(Z,$fot(product(c,product(product(c,a),a))))]]) ).

cnf(refute_0_21921,plain,
    ( product(product(c,product(c,a)),product(c,a)) != product(c,product(product(c,a),a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),product(c,a)),product(product(c,product(c,a)),product(c,a))) )],[refute_0_21919,refute_0_21920]) ).

cnf(refute_0_21922,plain,
    product(quotient(c,bigC(a,b,b)),product(c,a)) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(c,a)),product(c,product(product(c,a),a))) )],[refute_0_21915,refute_0_21921]) ).

cnf(refute_0_21923,plain,
    ( product(quotient(c,bigC(a,b,b)),product(c,a)) != product(c,product(product(c,a),a))
    | product(quotient(c,bigC(a,b,b)),product(c,a)) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | product(c,product(product(c,a),a)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),product(c,a)),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) ),[0],$fot(product(c,product(product(c,a),a)))]]) ).

cnf(refute_0_21924,plain,
    ( product(quotient(c,bigC(a,b,b)),product(c,a)) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | product(c,product(product(c,a),a)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),product(c,a)),product(c,product(product(c,a),a))) )],[refute_0_21922,refute_0_21923]) ).

cnf(refute_0_21925,plain,
    product(c,product(product(c,a),a)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(quotient(c,bigC(a,b,b)),product(c,a)),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) )],[refute_0_21914,refute_0_21924]) ).

cnf(refute_0_21926,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != difference(product(product(a,b),c),bigC(b,a,b))
    | difference(product(product(a,b),c),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(b,a,b)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) ),[0],$fot(difference(product(product(a,b),c),bigC(b,a,b)))]]) ).

cnf(refute_0_21927,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(b,a,b)) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),difference(product(product(a,b),c),bigC(b,a,b))) )],[refute_0_21757,refute_0_21926]) ).

cnf(refute_0_21928,plain,
    product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21929,plain,
    ( product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c)))) ),[1,1],$fot(product(bigC(b,a,b),bigC(a,a,c)))]]) ).

cnf(refute_0_21930,plain,
    ( product(bigC(c,b,c),bigC(a,a,c)) != product(bigC(b,a,b),bigC(a,a,c))
    | product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21928,refute_0_21929]) ).

cnf(refute_0_21931,plain,
    product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),bigC(a,a,c)),product(bigC(b,a,b),bigC(a,a,c))) )],[refute_0_8571,refute_0_21930]) ).

cnf(refute_0_21932,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21933,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_21934,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21932,refute_0_21933]) ).

cnf(refute_0_21935,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_21934]) ).

cnf(refute_0_21936,plain,
    ( product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))))),bind(Y,$fot(product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))))),bind(Z,$fot(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))))]]) ).

cnf(refute_0_21937,plain,
    ( product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21935,refute_0_21936]) ).

cnf(refute_0_21938,plain,
    product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21931,refute_0_21937]) ).

cnf(refute_0_21939,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,b),c),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) ),[0],$fot(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))))]]) ).

cnf(refute_0_21940,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21938,refute_0_21939]) ).

cnf(refute_0_21941,plain,
    ( difference(product(product(a,b),c),bigC(c,b,c)) != product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))
    | difference(product(product(a,b),c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21927,refute_0_21940]) ).

cnf(refute_0_21942,plain,
    difference(product(product(a,b),c),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(c,b,c)),product(bigC(c,b,c),product(bigC(c,b,c),bigC(a,a,c)))) )],[refute_0_21734,refute_0_21941]) ).

cnf(refute_0_21943,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(b,a,b))
    | difference(product(product(a,b),c),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(c,product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) ),[0],$fot(difference(product(c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_21944,plain,
    ( difference(product(product(a,b),c),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(c,product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(b,a,b))) )],[refute_0_21790,refute_0_21943]) ).

cnf(refute_0_21945,plain,
    difference(product(c,product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),c),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21942,refute_0_21944]) ).

cnf(refute_0_21946,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21947,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) ),[1,1],$fot(quotient(c,bigC(b,a,b)))]]) ).

cnf(refute_0_21948,plain,
    ( product(bigC(b,a,b),bigC(a,a,c)) != quotient(c,bigC(b,a,b))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21946,refute_0_21947]) ).

cnf(refute_0_21949,plain,
    product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),bigC(a,a,c)),quotient(c,bigC(b,a,b))) )],[refute_0_8345,refute_0_21948]) ).

cnf(refute_0_21950,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | difference(product(c,product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) ),[0],$fot(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))))]]) ).

cnf(refute_0_21951,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))
    | difference(product(c,product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c))),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) )],[refute_0_21949,refute_0_21950]) ).

cnf(refute_0_21952,plain,
    difference(product(c,product(c,b)),bigC(b,a,b)) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),product(bigC(b,a,b),bigC(a,a,c)))) )],[refute_0_21945,refute_0_21951]) ).

cnf(refute_0_21953,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != difference(product(c,product(c,b)),bigC(a,b,b))
    | difference(product(c,product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) ),[0],$fot(difference(product(c,product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_21954,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),difference(product(c,product(c,b)),bigC(a,b,b))) )],[refute_0_21815,refute_0_21953]) ).

cnf(refute_0_21955,plain,
    product(bigC(a,b,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_21956,plain,
    ( product(bigC(a,b,b),quotient(c,bigC(b,a,b))) != product(bigC(a,b,b),quotient(c,bigC(b,a,b)))
    | quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | product(bigC(a,b,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),quotient(c,bigC(b,a,b))),product(bigC(a,b,b),quotient(c,bigC(b,a,b)))) ),[1,1],$fot(quotient(c,bigC(a,b,b)))]]) ).

cnf(refute_0_21957,plain,
    ( quotient(c,bigC(b,a,b)) != quotient(c,bigC(a,b,b))
    | product(bigC(a,b,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(c,bigC(b,a,b))),product(bigC(a,b,b),quotient(c,bigC(b,a,b)))) )],[refute_0_21955,refute_0_21956]) ).

cnf(refute_0_21958,plain,
    product(bigC(a,b,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(b,a,b)),quotient(c,bigC(a,b,b))) )],[refute_0_8358,refute_0_21957]) ).

cnf(refute_0_21959,plain,
    product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(b,a,b),quotient(c,bigC(b,a,b))),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_21960,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(b,a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),quotient(c,bigC(b,a,b))),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_21961,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(b,a,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(c,bigC(b,a,b))),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) )],[refute_0_21959,refute_0_21960]) ).

cnf(refute_0_21962,plain,
    product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(b,a,b))),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_21961]) ).

cnf(refute_0_21963,plain,
    ( product(bigC(a,b,b),quotient(c,bigC(b,a,b))) != product(bigC(a,b,b),quotient(c,bigC(a,b,b)))
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) != product(bigC(a,b,b),quotient(c,bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,a,b),quotient(c,bigC(b,a,b))))),bind(Y,$fot(product(bigC(a,b,b),quotient(c,bigC(b,a,b))))),bind(Z,$fot(product(bigC(a,b,b),quotient(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_21964,plain,
    ( product(bigC(a,b,b),quotient(c,bigC(b,a,b))) != product(bigC(a,b,b),quotient(c,bigC(a,b,b)))
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(c,bigC(b,a,b))),product(bigC(a,b,b),quotient(c,bigC(b,a,b)))) )],[refute_0_21962,refute_0_21963]) ).

cnf(refute_0_21965,plain,
    product(bigC(b,a,b),quotient(c,bigC(b,a,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(c,bigC(b,a,b))),product(bigC(a,b,b),quotient(c,bigC(a,b,b)))) )],[refute_0_21958,refute_0_21964]) ).

cnf(refute_0_21966,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | product(bigC(b,a,b),quotient(c,bigC(b,a,b))) != product(bigC(a,b,b),quotient(c,bigC(a,b,b)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),quotient(c,bigC(a,b,b)))) ),[0],$fot(product(bigC(b,a,b),quotient(c,bigC(b,a,b))))]]) ).

cnf(refute_0_21967,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),quotient(c,bigC(b,a,b))),product(bigC(a,b,b),quotient(c,bigC(a,b,b)))) )],[refute_0_21965,refute_0_21966]) ).

cnf(refute_0_21968,plain,
    ( difference(product(c,product(c,b)),bigC(b,a,b)) != product(bigC(b,a,b),quotient(c,bigC(b,a,b)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) )],[refute_0_21954,refute_0_21967]) ).

cnf(refute_0_21969,plain,
    difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(b,a,b)),product(bigC(b,a,b),quotient(c,bigC(b,a,b)))) )],[refute_0_21952,refute_0_21968]) ).

cnf(refute_0_21970,plain,
    product(bigC(a,b,b),quotient(c,bigC(a,b,b))) = product(bigC(a,b,b),quotient(c,bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_21971,plain,
    ( product(bigC(a,b,b),quotient(c,bigC(a,b,b))) != product(bigC(a,b,b),quotient(c,bigC(a,b,b)))
    | quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | product(bigC(a,b,b),quotient(c,bigC(a,b,b))) = product(bigC(a,b,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),quotient(c,bigC(a,b,b))),product(bigC(a,b,b),quotient(c,bigC(a,b,b)))) ),[1,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_21972,plain,
    ( quotient(c,bigC(a,b,b)) != product(c,product(c,a))
    | product(bigC(a,b,b),quotient(c,bigC(a,b,b))) = product(bigC(a,b,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(c,bigC(a,b,b))),product(bigC(a,b,b),quotient(c,bigC(a,b,b)))) )],[refute_0_21970,refute_0_21971]) ).

cnf(refute_0_21973,plain,
    product(bigC(a,b,b),quotient(c,bigC(a,b,b))) = product(bigC(a,b,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(c,bigC(a,b,b)),product(c,product(c,a))) )],[refute_0_8521,refute_0_21972]) ).

cnf(refute_0_21974,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),quotient(c,bigC(a,b,b)))
    | product(bigC(a,b,b),quotient(c,bigC(a,b,b))) != product(bigC(a,b,b),product(c,product(c,a)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),product(c,product(c,a)))) ),[0],$fot(product(bigC(a,b,b),quotient(c,bigC(a,b,b))))]]) ).

cnf(refute_0_21975,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),quotient(c,bigC(a,b,b)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),quotient(c,bigC(a,b,b))),product(bigC(a,b,b),product(c,product(c,a)))) )],[refute_0_21973,refute_0_21974]) ).

cnf(refute_0_21976,plain,
    difference(product(c,product(c,b)),bigC(a,b,b)) = product(bigC(a,b,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),quotient(c,bigC(a,b,b)))) )],[refute_0_21969,refute_0_21975]) ).

cnf(refute_0_21977,plain,
    product(bigC(a,b,b),product(c,product(c,a))) = product(product(b,c),c),
    inference(subst,[],[refute_0_11596:[bind(X_22,$fot(c))]]) ).

cnf(refute_0_21978,plain,
    ( product(bigC(a,b,b),product(c,product(c,a))) != product(product(b,c),c)
    | product(product(b,c),c) != product(b,product(a,c))
    | product(bigC(a,b,b),product(c,product(c,a))) = product(b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,b),product(c,product(c,a))))),bind(Y,$fot(product(product(b,c),c))),bind(Z,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_21979,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(bigC(a,b,b),product(c,product(c,a))) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,product(c,a))),product(product(b,c),c)) )],[refute_0_21977,refute_0_21978]) ).

cnf(refute_0_21980,plain,
    product(bigC(a,b,b),product(c,product(c,a))) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_21979]) ).

cnf(refute_0_21981,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(c,product(c,a)))
    | product(bigC(a,b,b),product(c,product(c,a))) != product(b,product(a,c))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(b,product(a,c))) ),[0],$fot(product(bigC(a,b,b),product(c,product(c,a))))]]) ).

cnf(refute_0_21982,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(bigC(a,b,b),product(c,product(c,a)))
    | difference(product(c,product(c,b)),bigC(a,b,b)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,product(c,a))),product(b,product(a,c))) )],[refute_0_21980,refute_0_21981]) ).

cnf(refute_0_21983,plain,
    difference(product(c,product(c,b)),bigC(a,b,b)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(bigC(a,b,b),product(c,product(c,a)))) )],[refute_0_21976,refute_0_21982]) ).

cnf(refute_0_21984,plain,
    product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) = product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21985,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(b,product(a,c))
    | product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) = product(product(b,product(a,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_21986,plain,
    ( difference(product(c,product(c,b)),bigC(a,b,b)) != product(b,product(a,c))
    | product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) = product(product(b,product(a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) )],[refute_0_21984,refute_0_21985]) ).

cnf(refute_0_21987,plain,
    product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) = product(product(b,product(a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(c,product(c,b)),bigC(a,b,b)),product(b,product(a,c))) )],[refute_0_21983,refute_0_21986]) ).

cnf(refute_0_21988,plain,
    ( product(c,product(product(c,a),a)) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)) != product(product(b,product(a,c)),bigC(a,a,c))
    | product(c,product(product(c,a),a)) = product(product(b,product(a,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(product(c,a),a)),product(product(b,product(a,c)),bigC(a,a,c))) ),[0],$fot(product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_21989,plain,
    ( product(c,product(product(c,a),a)) != product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))
    | product(c,product(product(c,a),a)) = product(product(b,product(a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c)),product(product(b,product(a,c)),bigC(a,a,c))) )],[refute_0_21987,refute_0_21988]) ).

cnf(refute_0_21990,plain,
    product(c,product(product(c,a),a)) = product(product(b,product(a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),a)),product(difference(product(c,product(c,b)),bigC(a,b,b)),bigC(a,a,c))) )],[refute_0_21925,refute_0_21989]) ).

cnf(refute_0_21991,plain,
    ( product(c,product(product(c,a),a)) != product(product(b,product(a,c)),bigC(a,a,c))
    | product(product(b,product(a,c)),bigC(a,a,c)) = product(c,product(product(c,a),a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(product(c,a),a)))),bind(Y,$fot(product(product(b,product(a,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_21992,plain,
    product(product(b,product(a,c)),bigC(a,a,c)) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),a)),product(product(b,product(a,c)),bigC(a,a,c))) )],[refute_0_21990,refute_0_21991]) ).

cnf(refute_0_21993,plain,
    product(product(product(b,c),c),bigC(a,a,c)) = product(product(product(b,c),c),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),c),bigC(a,a,c)))]]) ).

cnf(refute_0_21994,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),bigC(a,a,c)) != product(product(product(b,c),c),bigC(a,a,c))
    | product(product(product(b,c),c),bigC(a,a,c)) = product(product(b,product(a,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),c),bigC(a,a,c)),product(product(product(b,c),c),bigC(a,a,c))) ),[1,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_21995,plain,
    ( product(product(b,c),c) != product(b,product(a,c))
    | product(product(product(b,c),c),bigC(a,a,c)) = product(product(b,product(a,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(a,a,c)),product(product(product(b,c),c),bigC(a,a,c))) )],[refute_0_21993,refute_0_21994]) ).

cnf(refute_0_21996,plain,
    product(product(product(b,c),c),bigC(a,a,c)) = product(product(b,product(a,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),c),product(b,product(a,c))) )],[refute_0_2794,refute_0_21995]) ).

cnf(refute_0_21997,plain,
    ( product(product(b,product(a,c)),bigC(a,a,c)) != product(c,product(product(c,a),a))
    | product(product(product(b,c),c),bigC(a,a,c)) != product(product(b,product(a,c)),bigC(a,a,c))
    | product(product(product(b,c),c),bigC(a,a,c)) = product(c,product(product(c,a),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),c),bigC(a,a,c)))),bind(Y,$fot(product(product(b,product(a,c)),bigC(a,a,c)))),bind(Z,$fot(product(c,product(product(c,a),a))))]]) ).

cnf(refute_0_21998,plain,
    ( product(product(b,product(a,c)),bigC(a,a,c)) != product(c,product(product(c,a),a))
    | product(product(product(b,c),c),bigC(a,a,c)) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(a,a,c)),product(product(b,product(a,c)),bigC(a,a,c))) )],[refute_0_21996,refute_0_21997]) ).

cnf(refute_0_21999,plain,
    product(product(product(b,c),c),bigC(a,a,c)) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),bigC(a,a,c)),product(c,product(product(c,a),a))) )],[refute_0_21992,refute_0_21998]) ).

cnf(refute_0_22000,plain,
    product(product(product(b,c),a),product(c,product(c,a))) = product(product(product(b,c),c),bigC(a,a,c)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(b,c))),bind(B,$fot(a)),bind(C,$fot(c)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_22001,plain,
    ( product(product(product(b,c),a),product(c,product(c,a))) != product(product(product(b,c),c),bigC(a,a,c))
    | product(product(product(b,c),c),bigC(a,a,c)) != product(c,product(product(c,a),a))
    | product(product(product(b,c),a),product(c,product(c,a))) = product(c,product(product(c,a),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),a),product(c,product(c,a))))),bind(Y,$fot(product(product(product(b,c),c),bigC(a,a,c)))),bind(Z,$fot(product(c,product(product(c,a),a))))]]) ).

cnf(refute_0_22002,plain,
    ( product(product(product(b,c),c),bigC(a,a,c)) != product(c,product(product(c,a),a))
    | product(product(product(b,c),a),product(c,product(c,a))) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(c,product(c,a))),product(product(product(b,c),c),bigC(a,a,c))) )],[refute_0_22000,refute_0_22001]) ).

cnf(refute_0_22003,plain,
    product(product(product(b,c),a),product(c,product(c,a))) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(a,a,c)),product(c,product(product(c,a),a))) )],[refute_0_21999,refute_0_22002]) ).

cnf(refute_0_22004,plain,
    product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),
    introduced(tautology,[refl,[$fot(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))))]]) ).

cnf(refute_0_22005,plain,
    ( product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | quotient(product(c,a),bigC(a,a,b)) != product(product(b,c),a)
    | product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(product(product(b,c),a),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) ),[1,0],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_22006,plain,
    ( quotient(product(c,a),bigC(a,a,b)) != product(product(b,c),a)
    | product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(product(product(b,c),a),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) )],[refute_0_22004,refute_0_22005]) ).

cnf(refute_0_22007,plain,
    product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(product(product(b,c),a),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(quotient(product(c,a),bigC(a,a,b)),product(product(b,c),a)) )],[refute_0_21687,refute_0_22006]) ).

cnf(refute_0_22008,plain,
    ( product(product(product(b,c),a),product(c,product(c,a))) != product(c,product(product(c,a),a))
    | product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) != product(product(product(b,c),a),product(c,product(c,a)))
    | product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(c,product(product(c,a),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))))),bind(Y,$fot(product(product(product(b,c),a),product(c,product(c,a))))),bind(Z,$fot(product(c,product(product(c,a),a))))]]) ).

cnf(refute_0_22009,plain,
    ( product(product(product(b,c),a),product(c,product(c,a))) != product(c,product(product(c,a),a))
    | product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),product(product(product(b,c),a),product(c,product(c,a)))) )],[refute_0_22007,refute_0_22008]) ).

cnf(refute_0_22010,plain,
    product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),a),product(c,product(c,a))),product(c,product(product(c,a),a))) )],[refute_0_22003,refute_0_22009]) ).

cnf(refute_0_22011,plain,
    ( product(bigC(a,b,b),a) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))) != product(c,product(product(c,a),a))
    | product(bigC(a,b,b),a) = product(c,product(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,b,b),a),product(c,product(product(c,a),a))) ),[0],$fot(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))))]]) ).

cnf(refute_0_22012,plain,
    ( product(bigC(a,b,b),a) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(bigC(a,b,b),a) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a))),product(c,product(product(c,a),a))) )],[refute_0_22010,refute_0_22011]) ).

cnf(refute_0_22013,plain,
    ( product(product(c,a),quotient(product(c,a),bigC(a,a,b))) != product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))
    | product(bigC(a,b,b),a) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),a),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) )],[refute_0_21696,refute_0_22012]) ).

cnf(refute_0_22014,plain,
    product(bigC(a,b,b),a) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),quotient(product(c,a),bigC(a,a,b))),product(quotient(product(c,a),bigC(a,a,b)),product(c,product(c,a)))) )],[refute_0_21609,refute_0_22013]) ).

cnf(refute_0_22015,plain,
    ( product(bigC(a,b,b),a) != product(c,product(product(c,a),a))
    | product(c,product(product(c,a),a)) = product(bigC(a,b,b),a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,b,b),a))),bind(Y,$fot(product(c,product(product(c,a),a))))]]) ).

cnf(refute_0_22016,plain,
    product(c,product(product(c,a),a)) = product(bigC(a,b,b),a),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),a),product(c,product(product(c,a),a))) )],[refute_0_22014,refute_0_22015]) ).

cnf(refute_0_22017,plain,
    product(product(c,product(product(c,a),a)),b) = product(product(c,product(product(c,a),a)),b),
    introduced(tautology,[refl,[$fot(product(product(c,product(product(c,a),a)),b))]]) ).

cnf(refute_0_22018,plain,
    ( product(c,product(product(c,a),a)) != product(bigC(a,b,b),a)
    | product(product(c,product(product(c,a),a)),b) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,product(product(c,a),a)),b) = product(product(bigC(a,b,b),a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(product(c,a),a)),b)) ),[1,0],$fot(product(bigC(a,b,b),a))]]) ).

cnf(refute_0_22019,plain,
    ( product(c,product(product(c,a),a)) != product(bigC(a,b,b),a)
    | product(product(c,product(product(c,a),a)),b) = product(product(bigC(a,b,b),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22017,refute_0_22018]) ).

cnf(refute_0_22020,plain,
    product(product(c,product(product(c,a),a)),b) = product(product(bigC(a,b,b),a),b),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),a)),product(bigC(a,b,b),a)) )],[refute_0_22016,refute_0_22019]) ).

cnf(refute_0_22021,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))))]]) ).

cnf(refute_0_22022,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) != difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b)))
    | product(product(c,product(product(c,a),a)),b) != product(product(bigC(a,b,b),a),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b)))) ),[1,0],$fot(product(product(bigC(a,b,b),a),b))]]) ).

cnf(refute_0_22023,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(bigC(a,b,b),a),b)
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b)))) )],[refute_0_22021,refute_0_22022]) ).

cnf(refute_0_22024,plain,
    difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) = difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(bigC(a,b,b),a),b)) )],[refute_0_22020,refute_0_22023]) ).

cnf(refute_0_22025,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) != difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b)))
    | difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) ),[0],$fot(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))))]]) ).

cnf(refute_0_22026,plain,
    ( difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b)))) )],[refute_0_22024,refute_0_22025]) ).

cnf(refute_0_22027,plain,
    difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(product(c,a),a)),b),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) )],[refute_0_21593,refute_0_22026]) ).

cnf(refute_0_22028,plain,
    difference(product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(c)),bind(X_16,$fot(difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22029,plain,
    difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),difference(product(c,b),bigC(a,b,b))) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(bigC(a,b,b))),bind(X_32,$fot(product(c,b)))]]) ).

cnf(refute_0_22030,plain,
    difference(product(c,b),bigC(b,a,b)) = difference(product(c,b),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(difference(product(c,b),bigC(b,a,b)))]]) ).

cnf(refute_0_22031,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(c,b),bigC(b,a,b)) != difference(product(c,b),bigC(b,a,b))
    | difference(product(c,b),bigC(b,a,b)) = difference(product(c,b),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),difference(product(c,b),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_22032,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | difference(product(c,b),bigC(b,a,b)) = difference(product(c,b),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),difference(product(c,b),bigC(b,a,b))) )],[refute_0_22030,refute_0_22031]) ).

cnf(refute_0_22033,plain,
    difference(product(c,b),bigC(b,a,b)) = difference(product(c,b),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_22032]) ).

cnf(refute_0_22034,plain,
    ( difference(product(c,b),bigC(b,a,b)) != c
    | difference(product(c,b),bigC(b,a,b)) != difference(product(c,b),bigC(a,b,b))
    | difference(product(c,b),bigC(a,b,b)) = c ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) ),[0],$fot(difference(product(c,b),bigC(a,b,b)))]]) ).

cnf(refute_0_22035,plain,
    ( difference(product(c,b),bigC(b,a,b)) != c
    | difference(product(c,b),bigC(a,b,b)) = c ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),difference(product(c,b),bigC(a,b,b))) )],[refute_0_22033,refute_0_22034]) ).

cnf(refute_0_22036,plain,
    difference(product(c,b),bigC(a,b,b)) = c,
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(b,a,b)),c) )],[refute_0_1318,refute_0_22035]) ).

cnf(refute_0_22037,plain,
    ( difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),difference(product(c,b),bigC(a,b,b))) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | difference(product(c,b),bigC(a,b,b)) != c
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),difference(product(c,b),bigC(a,b,b))),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) ),[0,1],$fot(c)]]) ).

cnf(refute_0_22038,plain,
    ( difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),difference(product(c,b),bigC(a,b,b))) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(a,b,b)),c) )],[refute_0_22036,refute_0_22037]) ).

cnf(refute_0_22039,plain,
    difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),difference(product(c,b),bigC(a,b,b))),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) )],[refute_0_22029,refute_0_22038]) ).

cnf(refute_0_22040,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | difference(product(bigC(b,a,b),c),c) != bigC(c,c,product(a,b))
    | difference(product(bigC(b,a,b),c),c) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),bigC(c,c,product(a,b))) ),[1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22041,plain,
    ( difference(product(bigC(b,a,b),c),c) != bigC(c,c,product(a,b))
    | difference(product(bigC(b,a,b),c),c) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_5916,refute_0_22040]) ).

cnf(refute_0_22042,plain,
    difference(product(bigC(b,a,b),c),c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),bigC(c,c,product(a,b))) )],[refute_0_7575,refute_0_22041]) ).

cnf(refute_0_22043,plain,
    difference(product(bigC(b,a,b),c),c) = difference(product(bigC(b,a,b),c),c),
    introduced(tautology,[refl,[$fot(difference(product(bigC(b,a,b),c),c))]]) ).

cnf(refute_0_22044,plain,
    ( difference(product(bigC(b,a,b),c),c) != difference(product(bigC(b,a,b),c),c)
    | product(bigC(b,a,b),c) != product(bigC(a,b,b),c)
    | difference(product(bigC(b,a,b),c),c) = difference(product(bigC(a,b,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),difference(product(bigC(b,a,b),c),c)) ),[1,0],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_22045,plain,
    ( product(bigC(b,a,b),c) != product(bigC(a,b,b),c)
    | difference(product(bigC(b,a,b),c),c) = difference(product(bigC(a,b,b),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),difference(product(bigC(b,a,b),c),c)) )],[refute_0_22043,refute_0_22044]) ).

cnf(refute_0_22046,plain,
    difference(product(bigC(b,a,b),c),c) = difference(product(bigC(a,b,b),c),c),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),c),product(bigC(a,b,b),c)) )],[refute_0_11129,refute_0_22045]) ).

cnf(refute_0_22047,plain,
    ( difference(product(bigC(b,a,b),c),c) != bigC(a,b,product(a,b))
    | difference(product(bigC(b,a,b),c),c) != difference(product(bigC(a,b,b),c),c)
    | difference(product(bigC(a,b,b),c),c) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),bigC(a,b,product(a,b))) ),[0],$fot(difference(product(bigC(a,b,b),c),c))]]) ).

cnf(refute_0_22048,plain,
    ( difference(product(bigC(b,a,b),c),c) != bigC(a,b,product(a,b))
    | difference(product(bigC(a,b,b),c),c) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),difference(product(bigC(a,b,b),c),c)) )],[refute_0_22046,refute_0_22047]) ).

cnf(refute_0_22049,plain,
    difference(product(bigC(a,b,b),c),c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(b,a,b),c),c),bigC(a,b,product(a,b))) )],[refute_0_22042,refute_0_22048]) ).

cnf(refute_0_22050,plain,
    product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) = product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))))]]) ).

cnf(refute_0_22051,plain,
    ( difference(product(c,b),bigC(a,b,b)) != c
    | product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) != product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b)))
    | product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) = product(bigC(a,b,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_22052,plain,
    ( difference(product(c,b),bigC(a,b,b)) != c
    | product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) = product(bigC(a,b,b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b)))) )],[refute_0_22050,refute_0_22051]) ).

cnf(refute_0_22053,plain,
    product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) = product(bigC(a,b,b),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(a,b,b)),c) )],[refute_0_22036,refute_0_22052]) ).

cnf(refute_0_22054,plain,
    difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c))]]) ).

cnf(refute_0_22055,plain,
    ( difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) != difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c)
    | product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) != product(bigC(a,b,b),c)
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = difference(product(bigC(a,b,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c)) ),[1,0],$fot(product(bigC(a,b,b),c))]]) ).

cnf(refute_0_22056,plain,
    ( product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))) != product(bigC(a,b,b),c)
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = difference(product(bigC(a,b,b),c),c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c)) )],[refute_0_22054,refute_0_22055]) ).

cnf(refute_0_22057,plain,
    difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = difference(product(bigC(a,b,b),c),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),product(bigC(a,b,b),c)) )],[refute_0_22053,refute_0_22056]) ).

cnf(refute_0_22058,plain,
    ( difference(product(bigC(a,b,b),c),c) != bigC(a,b,product(a,b))
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) != difference(product(bigC(a,b,b),c),c)
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c))),bind(Y,$fot(difference(product(bigC(a,b,b),c),c))),bind(Z,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_22059,plain,
    ( difference(product(bigC(a,b,b),c),c) != bigC(a,b,product(a,b))
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),difference(product(bigC(a,b,b),c),c)) )],[refute_0_22057,refute_0_22058]) ).

cnf(refute_0_22060,plain,
    difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),c),c),bigC(a,b,product(a,b))) )],[refute_0_22049,refute_0_22059]) ).

cnf(refute_0_22061,plain,
    ( difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) != bigC(a,b,product(a,b))
    | difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | bigC(a,b,product(a,b)) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) ),[0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22062,plain,
    ( difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | bigC(a,b,product(a,b)) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),bigC(a,b,product(a,b))) )],[refute_0_22060,refute_0_22061]) ).

cnf(refute_0_22063,plain,
    difference(product(c,b),product(bigC(a,b,b),product(c,b))) = difference(product(c,b),product(bigC(a,b,b),product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(c,b),product(bigC(a,b,b),product(c,b))))]]) ).

cnf(refute_0_22064,plain,
    ( difference(product(c,b),product(bigC(a,b,b),product(c,b))) != difference(product(c,b),product(bigC(a,b,b),product(c,b)))
    | product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | difference(product(c,b),product(bigC(a,b,b),product(c,b))) = difference(product(c,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(bigC(a,b,b),product(c,b))),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),[1,1],$fot(product(c,bigC(b,b,c)))]]) ).

cnf(refute_0_22065,plain,
    ( product(bigC(a,b,b),product(c,b)) != product(c,bigC(b,b,c))
    | difference(product(c,b),product(bigC(a,b,b),product(c,b))) = difference(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(bigC(a,b,b),product(c,b))),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) )],[refute_0_22063,refute_0_22064]) ).

cnf(refute_0_22066,plain,
    difference(product(c,b),product(bigC(a,b,b),product(c,b))) = difference(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,b),product(c,b)),product(c,bigC(b,b,c))) )],[refute_0_10489,refute_0_22065]) ).

cnf(refute_0_22067,plain,
    product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))))]]) ).

cnf(refute_0_22068,plain,
    ( difference(product(c,b),product(bigC(a,b,b),product(c,b))) != difference(product(c,b),product(c,bigC(b,b,c)))
    | product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) != product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b))))) ),[1,1],$fot(difference(product(c,b),product(c,bigC(b,b,c))))]]) ).

cnf(refute_0_22069,plain,
    ( difference(product(c,b),product(bigC(a,b,b),product(c,b))) != difference(product(c,b),product(c,bigC(b,b,c)))
    | product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b))))) )],[refute_0_22067,refute_0_22068]) ).

cnf(refute_0_22070,plain,
    product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(bigC(a,b,b),product(c,b))),difference(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_22066,refute_0_22069]) ).

cnf(refute_0_22071,plain,
    product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))))]]) ).

cnf(refute_0_22072,plain,
    ( difference(product(c,b),bigC(a,b,b)) != c
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22073,plain,
    ( difference(product(c,b),bigC(a,b,b)) != c
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) )],[refute_0_22071,refute_0_22072]) ).

cnf(refute_0_22074,plain,
    product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),bigC(a,b,b)),c) )],[refute_0_22036,refute_0_22073]) ).

cnf(refute_0_22075,plain,
    ( product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) != product(c,difference(product(c,b),product(c,bigC(b,b,c))))
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) != product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))))),bind(Y,$fot(product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))))),bind(Z,$fot(product(c,difference(product(c,b),product(c,bigC(b,b,c))))))]]) ).

cnf(refute_0_22076,plain,
    ( product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))) != product(c,difference(product(c,b),product(c,bigC(b,b,c))))
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b))))) )],[refute_0_22074,refute_0_22075]) ).

cnf(refute_0_22077,plain,
    product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(c,difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22070,refute_0_22076]) ).

cnf(refute_0_22078,plain,
    ( bigC(a,b,product(a,b)) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))) != product(c,difference(product(c,b),product(c,bigC(b,b,c))))
    | bigC(a,b,product(a,b)) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,product(a,b)),product(c,difference(product(c,b),product(c,bigC(b,b,c))))) ),[0],$fot(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))))]]) ).

cnf(refute_0_22079,plain,
    ( bigC(a,b,product(a,b)) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | bigC(a,b,product(a,b)) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b)))),product(c,difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22077,refute_0_22078]) ).

cnf(refute_0_22080,plain,
    ( difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c) != product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))
    | bigC(a,b,product(a,b)) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,b)),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) )],[refute_0_22062,refute_0_22079]) ).

cnf(refute_0_22081,plain,
    bigC(a,b,product(a,b)) = product(c,difference(product(c,b),product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,b),difference(product(c,b),bigC(a,b,b))),c),product(difference(product(c,b),bigC(a,b,b)),difference(product(c,b),product(bigC(a,b,b),product(c,b))))) )],[refute_0_22039,refute_0_22080]) ).

cnf(refute_0_22082,plain,
    ( bigC(a,b,product(a,b)) != product(c,difference(product(c,b),product(c,bigC(b,b,c))))
    | product(c,difference(product(c,b),product(c,bigC(b,b,c)))) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(a,b)))),bind(Y,$fot(product(c,difference(product(c,b),product(c,bigC(b,b,c))))))]]) ).

cnf(refute_0_22083,plain,
    product(c,difference(product(c,b),product(c,bigC(b,b,c)))) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,b)),product(c,difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22081,refute_0_22082]) ).

cnf(refute_0_22084,plain,
    ( difference(product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(c,difference(product(c,b),product(c,bigC(b,b,c)))) != bigC(a,b,product(a,b))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) ),[0,0,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22085,plain,
    ( difference(product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),bigC(a,b,product(a,b))) )],[refute_0_22083,refute_0_22084]) ).

cnf(refute_0_22086,plain,
    difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) )],[refute_0_22028,refute_0_22085]) ).

cnf(refute_0_22087,plain,
    difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(bigC(a,b,product(a,b)),product(c,product(c,b))))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(bigC(a,b,product(a,b)))),bind(X_20,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_22088,plain,
    quotient(bigC(c,c,product(a,b)),product(product(a,b),c)) = product(c,c),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(c)),bind(X_22,$fot(c)),bind(X_23,$fot(product(a,b)))]]) ).

cnf(refute_0_22089,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | quotient(bigC(c,c,product(a,b)),product(product(a,b),c)) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(c,c,product(a,b)),product(product(a,b),c)),product(c,c)) ),[0,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22090,plain,
    ( quotient(bigC(c,c,product(a,b)),product(product(a,b),c)) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = product(c,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_5916,refute_0_22089]) ).

cnf(refute_0_22091,plain,
    quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = product(c,c),
    inference(resolve,[$cnf( $equal(quotient(bigC(c,c,product(a,b)),product(product(a,b),c)),product(c,c)) )],[refute_0_22088,refute_0_22090]) ).

cnf(refute_0_22092,plain,
    quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = quotient(bigC(a,b,product(a,b)),product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,b,product(a,b)),product(product(a,b),c)))]]) ).

cnf(refute_0_22093,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) != quotient(bigC(a,b,product(a,b)),product(product(a,b),c))
    | quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(a,b),c)),quotient(bigC(a,b,product(a,b)),product(product(a,b),c))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22094,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(a,b),c)),quotient(bigC(a,b,product(a,b)),product(product(a,b),c))) )],[refute_0_22092,refute_0_22093]) ).

cnf(refute_0_22095,plain,
    quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) = quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_22094]) ).

cnf(refute_0_22096,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) != quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(a,b),c)),product(c,c)) ),[0],$fot(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))))]]) ).

cnf(refute_0_22097,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(c,c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(a,b),c)),quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))) )],[refute_0_22095,refute_0_22096]) ).

cnf(refute_0_22098,plain,
    ( product(c,c) != c
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,c)) ),[1],$fot(c)]]) ).

cnf(refute_0_22099,plain,
    ( quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) = c ),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_22098]) ).

cnf(refute_0_22100,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(a,b),c)) != product(c,c)
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) = c ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,c)) )],[refute_0_22097,refute_0_22099]) ).

cnf(refute_0_22101,plain,
    quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) = c,
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(a,b),c)),product(c,c)) )],[refute_0_22091,refute_0_22100]) ).

cnf(refute_0_22102,plain,
    ( difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) != c
    | difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))) ),[1,1,1],$fot(c)]]) ).

cnf(refute_0_22103,plain,
    ( difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))
    | difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),c) )],[refute_0_22101,refute_0_22102]) ).

cnf(refute_0_22104,plain,
    difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),c)),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))) )],[refute_0_22087,refute_0_22103]) ).

cnf(refute_0_22105,plain,
    bigC(product(a,b),X_42,quotient(product(product(product(c,a),a),b),product(a,b))) = product(product(product(a,b),X_42),product(product(product(c,a),a),b)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(product(product(c,a),a),b))),bind(X_21,$fot(product(a,b))),bind(X_22,$fot(X_42))]]) ).

cnf(refute_0_22106,plain,
    ( bigC(product(a,b),X_42,quotient(product(product(product(c,a),a),b),product(a,b))) != product(product(product(a,b),X_42),product(product(product(c,a),a),b))
    | quotient(product(product(product(c,a),a),b),product(a,b)) != product(product(c,a),b)
    | bigC(product(a,b),X_42,product(product(c,a),b)) = product(product(product(a,b),X_42),product(product(product(c,a),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_42,quotient(product(product(product(c,a),a),b),product(a,b))),product(product(product(a,b),X_42),product(product(product(c,a),a),b))) ),[0,2],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_22107,plain,
    ( bigC(product(a,b),X_42,quotient(product(product(product(c,a),a),b),product(a,b))) != product(product(product(a,b),X_42),product(product(product(c,a),a),b))
    | bigC(product(a,b),X_42,product(product(c,a),b)) = product(product(product(a,b),X_42),product(product(product(c,a),a),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,a),a),b),product(a,b)),product(product(c,a),b)) )],[refute_0_8105,refute_0_22106]) ).

cnf(refute_0_22108,plain,
    bigC(product(a,b),X_42,product(product(c,a),b)) = product(product(product(a,b),X_42),product(product(product(c,a),a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,quotient(product(product(product(c,a),a),b),product(a,b))),product(product(product(a,b),X_42),product(product(product(c,a),a),b))) )],[refute_0_22105,refute_0_22107]) ).

cnf(refute_0_22109,plain,
    product(product(product(a,b),X_42),product(product(product(c,a),a),b)) = product(bigC(a,b,product(c,a)),product(X_42,b)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(c,a))),bind(X_65,$fot(X_42)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_22110,plain,
    ( bigC(product(a,b),X_42,product(product(c,a),b)) != product(product(product(a,b),X_42),product(product(product(c,a),a),b))
    | product(product(product(a,b),X_42),product(product(product(c,a),a),b)) != product(bigC(a,b,product(c,a)),product(X_42,b))
    | bigC(product(a,b),X_42,product(product(c,a),b)) = product(bigC(a,b,product(c,a)),product(X_42,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_42,product(product(c,a),b)),product(bigC(a,b,product(c,a)),product(X_42,b))) ),[0],$fot(product(product(product(a,b),X_42),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_22111,plain,
    ( bigC(product(a,b),X_42,product(product(c,a),b)) != product(product(product(a,b),X_42),product(product(product(c,a),a),b))
    | bigC(product(a,b),X_42,product(product(c,a),b)) = product(bigC(a,b,product(c,a)),product(X_42,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),X_42),product(product(product(c,a),a),b)),product(bigC(a,b,product(c,a)),product(X_42,b))) )],[refute_0_22109,refute_0_22110]) ).

cnf(refute_0_22112,plain,
    bigC(product(a,b),X_42,product(product(c,a),b)) = product(bigC(a,b,product(c,a)),product(X_42,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(product(c,a),b)),product(product(product(a,b),X_42),product(product(product(c,a),a),b))) )],[refute_0_22108,refute_0_22111]) ).

cnf(refute_0_22113,plain,
    bigC(product(a,b),X_42,product(product(c,a),b)) = bigC(product(a,b),X_42,product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),X_42,product(product(c,a),b)))]]) ).

cnf(refute_0_22114,plain,
    ( bigC(product(a,b),X_42,product(product(c,a),b)) != bigC(product(a,b),X_42,product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(a,b),X_42,product(product(c,a),b)) = bigC(product(a,b),X_42,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_42,product(product(c,a),b)),bigC(product(a,b),X_42,product(product(c,a),b))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22115,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | bigC(product(a,b),X_42,product(product(c,a),b)) = bigC(product(a,b),X_42,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(product(c,a),b)),bigC(product(a,b),X_42,product(product(c,a),b))) )],[refute_0_22113,refute_0_22114]) ).

cnf(refute_0_22116,plain,
    bigC(product(a,b),X_42,product(product(c,a),b)) = bigC(product(a,b),X_42,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_22115]) ).

cnf(refute_0_22117,plain,
    ( bigC(product(a,b),X_42,product(product(c,a),b)) != bigC(product(a,b),X_42,product(c,product(c,b)))
    | bigC(product(a,b),X_42,product(product(c,a),b)) != product(bigC(a,b,product(c,a)),product(X_42,b))
    | bigC(product(a,b),X_42,product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(X_42,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_42,product(product(c,a),b)),product(bigC(a,b,product(c,a)),product(X_42,b))) ),[0],$fot(bigC(product(a,b),X_42,product(c,product(c,b))))]]) ).

cnf(refute_0_22118,plain,
    ( bigC(product(a,b),X_42,product(product(c,a),b)) != product(bigC(a,b,product(c,a)),product(X_42,b))
    | bigC(product(a,b),X_42,product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(X_42,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(product(c,a),b)),bigC(product(a,b),X_42,product(c,product(c,b)))) )],[refute_0_22116,refute_0_22117]) ).

cnf(refute_0_22119,plain,
    bigC(product(a,b),X_42,product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(X_42,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(product(c,a),b)),product(bigC(a,b,product(c,a)),product(X_42,b))) )],[refute_0_22112,refute_0_22118]) ).

cnf(refute_0_22120,plain,
    bigC(product(a,b),c,product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(c,b)),
    inference(subst,[],[refute_0_22119:[bind(X_42,$fot(c))]]) ).

cnf(refute_0_22121,plain,
    bigC(product(a,b),c,product(product(a,b),c)) = bigC(product(a,b),c,product(product(a,b),c)),
    introduced(tautology,[refl,[$fot(bigC(product(a,b),c,product(product(a,b),c)))]]) ).

cnf(refute_0_22122,plain,
    ( bigC(product(a,b),c,product(product(a,b),c)) != bigC(product(a,b),c,product(product(a,b),c))
    | product(product(a,b),c) != product(c,product(c,b))
    | bigC(product(a,b),c,product(product(a,b),c)) = bigC(product(a,b),c,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),c,product(product(a,b),c)),bigC(product(a,b),c,product(product(a,b),c))) ),[1,2],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22123,plain,
    ( product(product(a,b),c) != product(c,product(c,b))
    | bigC(product(a,b),c,product(product(a,b),c)) = bigC(product(a,b),c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(product(a,b),c)),bigC(product(a,b),c,product(product(a,b),c))) )],[refute_0_22121,refute_0_22122]) ).

cnf(refute_0_22124,plain,
    bigC(product(a,b),c,product(product(a,b),c)) = bigC(product(a,b),c,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_22123]) ).

cnf(refute_0_22125,plain,
    ( bigC(product(a,b),c,product(c,product(c,b))) != product(bigC(a,b,product(c,a)),product(c,b))
    | bigC(product(a,b),c,product(product(a,b),c)) != bigC(product(a,b),c,product(c,product(c,b)))
    | bigC(product(a,b),c,product(product(a,b),c)) = product(bigC(a,b,product(c,a)),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),c,product(product(a,b),c)))),bind(Y,$fot(bigC(product(a,b),c,product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,b,product(c,a)),product(c,b))))]]) ).

cnf(refute_0_22126,plain,
    ( bigC(product(a,b),c,product(c,product(c,b))) != product(bigC(a,b,product(c,a)),product(c,b))
    | bigC(product(a,b),c,product(product(a,b),c)) = product(bigC(a,b,product(c,a)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(product(a,b),c)),bigC(product(a,b),c,product(c,product(c,b)))) )],[refute_0_22124,refute_0_22125]) ).

cnf(refute_0_22127,plain,
    bigC(product(a,b),c,product(product(a,b),c)) = product(bigC(a,b,product(c,a)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,product(c,b))),product(bigC(a,b,product(c,a)),product(c,b))) )],[refute_0_22120,refute_0_22126]) ).

cnf(refute_0_22128,plain,
    product(bigC(a,b,product(a,b)),product(c,product(c,b))) = bigC(product(a,b),c,product(product(a,b),c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(c)),bind(X_63,$fot(product(a,b))),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_22129,plain,
    ( bigC(product(a,b),c,product(product(a,b),c)) != product(bigC(a,b,product(c,a)),product(c,b))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) != bigC(product(a,b),c,product(product(a,b),c))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(a,b)),product(c,product(c,b))))),bind(Y,$fot(bigC(product(a,b),c,product(product(a,b),c)))),bind(Z,$fot(product(bigC(a,b,product(c,a)),product(c,b))))]]) ).

cnf(refute_0_22130,plain,
    ( bigC(product(a,b),c,product(product(a,b),c)) != product(bigC(a,b,product(c,a)),product(c,b))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,product(c,b))),bigC(product(a,b),c,product(product(a,b),c))) )],[refute_0_22128,refute_0_22129]) ).

cnf(refute_0_22131,plain,
    product(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(bigC(a,b,product(c,a)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(product(a,b),c)),product(bigC(a,b,product(c,a)),product(c,b))) )],[refute_0_22127,refute_0_22130]) ).

cnf(refute_0_22132,plain,
    difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))))]]) ).

cnf(refute_0_22133,plain,
    ( difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) != product(bigC(a,b,product(c,a)),product(c,b))
    | difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)))) ),[1,0],$fot(product(bigC(a,b,product(c,a)),product(c,b)))]]) ).

cnf(refute_0_22134,plain,
    ( product(bigC(a,b,product(a,b)),product(c,product(c,b))) != product(bigC(a,b,product(c,a)),product(c,b))
    | difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)))) )],[refute_0_22132,refute_0_22133]) ).

cnf(refute_0_22135,plain,
    difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) = difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(bigC(a,b,product(c,a)),product(c,b))) )],[refute_0_22131,refute_0_22134]) ).

cnf(refute_0_22136,plain,
    ( difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b)))
    | difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),c))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),c))) ),[0],$fot(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))))]]) ).

cnf(refute_0_22137,plain,
    ( difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),c))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = product(product(c,product(c,b)),product(product(c,product(c,b)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b)))) )],[refute_0_22135,refute_0_22136]) ).

cnf(refute_0_22138,plain,
    quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))) = product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(c,b))),bind(X_16,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_22139,plain,
    bigC(product(c,b),product(a,b),product(product(c,a),b)) = product(product(product(c,a),b),product(product(product(c,a),b),product(c,b))),
    inference(subst,[],[refute_0_7786:[bind(X_45,$fot(product(product(c,a),b)))]]) ).

cnf(refute_0_22140,plain,
    ( bigC(product(c,b),product(a,b),product(product(c,a),b)) != product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))
    | product(product(product(c,a),b),product(product(product(c,a),b),product(c,b))) = bigC(product(c,b),product(a,b),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(product(c,b),product(a,b),product(product(c,a),b)))),bind(Y,$fot(product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))))]]) ).

cnf(refute_0_22141,plain,
    product(product(product(c,a),b),product(product(product(c,a),b),product(c,b))) = bigC(product(c,b),product(a,b),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(c,b),product(a,b),product(product(c,a),b)),product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))) )],[refute_0_22139,refute_0_22140]) ).

cnf(refute_0_22142,plain,
    ( product(product(product(c,a),b),product(product(product(c,a),b),product(c,b))) != bigC(product(c,b),product(a,b),product(product(c,a),b))
    | quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))),product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))) ),[0,1],$fot(bigC(product(c,b),product(a,b),product(product(c,a),b)))]]) ).

cnf(refute_0_22143,plain,
    ( quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,a),b),product(product(product(c,a),b),product(c,b))),bigC(product(c,b),product(a,b),product(product(c,a),b))) )],[refute_0_22141,refute_0_22142]) ).

cnf(refute_0_22144,plain,
    quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),product(product(product(c,a),b),product(product(product(c,a),b),product(c,b)))),product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))) )],[refute_0_22138,refute_0_22143]) ).

cnf(refute_0_22145,plain,
    quotient(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,b),product(product(product(c,a),a),b)),
    inference(subst,[],[sos03:[bind(A,$fot(product(product(c,b),product(product(product(c,a),a),b)))),bind(B,$fot(bigC(product(c,b),product(a,b),product(product(c,a),b))))]]) ).

cnf(refute_0_22146,plain,
    ( product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,a),b)
    | quotient(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,b),product(product(product(c,a),a),b))
    | quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,b),product(product(product(c,a),a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,b),product(product(product(c,a),a),b))) ),[0,0],$fot(product(product(c,a),b))]]) ).

cnf(refute_0_22147,plain,
    ( quotient(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,b),product(product(product(c,a),a),b))
    | quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,b),product(product(product(c,a),a),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,a),b)) )],[refute_0_21557,refute_0_22146]) ).

cnf(refute_0_22148,plain,
    quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) = product(product(c,b),product(product(product(c,a),a),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(product(c,b),product(product(product(c,a),a),b)),bigC(product(c,b),product(a,b),product(product(c,a),b))),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,b),product(product(product(c,a),a),b))) )],[refute_0_22145,refute_0_22147]) ).

cnf(refute_0_22149,plain,
    ( quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(c,b),product(product(product(c,a),a),b))
    | quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | product(product(c,b),product(product(product(c,a),a),b)) = product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))) ),[0],$fot(product(product(c,b),product(product(product(c,a),a),b)))]]) ).

cnf(refute_0_22150,plain,
    ( quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | product(product(c,b),product(product(product(c,a),a),b)) = product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(c,b),product(product(product(c,a),a),b))) )],[refute_0_22148,refute_0_22149]) ).

cnf(refute_0_22151,plain,
    product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(c,b))),bind(B,$fot(product(c,a))),bind(C,$fot(product(product(c,a),b))),bind(D,$fot(b))]]) ).

cnf(refute_0_22152,plain,
    ( product(product(c,b),product(product(product(c,a),a),b)) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(c,b),product(product(product(c,a),a),b)) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) ),[0],$fot(product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)))]]) ).

cnf(refute_0_22153,plain,
    ( product(product(c,b),product(product(product(c,a),a),b)) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | product(product(c,b),product(product(product(c,a),a),b)) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b)),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_22151,refute_0_22152]) ).

cnf(refute_0_22154,plain,
    ( quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))) != product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))
    | product(product(c,b),product(product(product(c,a),a),b)) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))) )],[refute_0_22150,refute_0_22153]) ).

cnf(refute_0_22155,plain,
    product(product(c,b),product(product(product(c,a),a),b)) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(c,a),b),bigC(product(c,b),product(a,b),product(product(c,a),b))),product(product(product(c,b),product(product(c,a),b)),product(product(c,a),b))) )],[refute_0_22144,refute_0_22154]) ).

cnf(refute_0_22156,plain,
    ( product(product(c,b),product(product(product(c,a),a),b)) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,b),product(product(product(c,a),a),b)) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) ),[0],$fot(product(product(c,product(product(c,a),a)),b))]]) ).

cnf(refute_0_22157,plain,
    ( product(product(c,b),product(product(product(c,a),a),b)) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,a),a),b)),product(product(c,product(product(c,a),a)),b)) )],[refute_0_21561,refute_0_22156]) ).

cnf(refute_0_22158,plain,
    product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) = product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)))]]) ).

cnf(refute_0_22159,plain,
    ( product(product(c,b),product(c,a)) != product(c,product(b,a))
    | product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) = product(product(c,product(b,a)),product(product(product(c,a),b),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) ),[1,0],$fot(product(c,product(b,a)))]]) ).

cnf(refute_0_22160,plain,
    ( product(product(c,b),product(c,a)) != product(c,product(b,a))
    | product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) = product(product(c,product(b,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_22158,refute_0_22159]) ).

cnf(refute_0_22161,plain,
    product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) = product(product(c,product(b,a)),product(product(product(c,a),b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(c,a)),product(c,product(b,a))) )],[refute_0_1411,refute_0_22160]) ).

cnf(refute_0_22162,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)) != product(product(c,product(b,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(b,a)),product(product(product(c,a),b),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(b,a)),product(product(product(c,a),b),b))) ),[0],$fot(product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)))]]) ).

cnf(refute_0_22163,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(b,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b)),product(product(c,product(b,a)),product(product(product(c,a),b),b))) )],[refute_0_22161,refute_0_22162]) ).

cnf(refute_0_22164,plain,
    ( product(product(c,b),product(product(product(c,a),a),b)) != product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(b,a)),product(product(product(c,a),b),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_22157,refute_0_22163]) ).

cnf(refute_0_22165,plain,
    product(product(c,product(product(c,a),a)),b) = product(product(c,product(b,a)),product(product(product(c,a),b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(product(product(c,a),a),b)),product(product(product(c,b),product(c,a)),product(product(product(c,a),b),b))) )],[refute_0_22155,refute_0_22164]) ).

cnf(refute_0_22166,plain,
    product(product(c,product(b,a)),product(product(product(c,a),b),b)) = product(product(c,product(product(c,a),b)),bigC(b,a,b)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(c)),bind(C,$fot(product(product(c,a),b))),bind(D,$fot(b)),bind(X_82,$fot(a))]]) ).

cnf(refute_0_22167,plain,
    ( product(product(c,product(b,a)),product(product(product(c,a),b),b)) != product(product(c,product(product(c,a),b)),bigC(b,a,b))
    | product(product(c,product(product(c,a),a)),b) != product(product(c,product(b,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(product(c,a),b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(b,a)),product(product(product(c,a),b),b))) ),[1],$fot(product(product(c,product(product(c,a),b)),bigC(b,a,b)))]]) ).

cnf(refute_0_22168,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(c,product(b,a)),product(product(product(c,a),b),b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(product(c,a),b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(b,a)),product(product(product(c,a),b),b)),product(product(c,product(product(c,a),b)),bigC(b,a,b))) )],[refute_0_22166,refute_0_22167]) ).

cnf(refute_0_22169,plain,
    product(product(c,product(product(c,a),a)),b) = product(product(c,product(product(c,a),b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(b,a)),product(product(product(c,a),b),b))) )],[refute_0_22165,refute_0_22168]) ).

cnf(refute_0_22170,plain,
    product(c,product(product(c,a),b)) = product(c,product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(c,product(product(c,a),b)))]]) ).

cnf(refute_0_22171,plain,
    ( product(c,product(product(c,a),b)) != product(c,product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(c,product(product(c,a),b)) = product(c,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(c,a),b)),product(c,product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22172,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(c,product(product(c,a),b)) = product(c,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),b)),product(c,product(product(c,a),b))) )],[refute_0_22170,refute_0_22171]) ).

cnf(refute_0_22173,plain,
    product(c,product(product(c,a),b)) = product(c,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_22172]) ).

cnf(refute_0_22174,plain,
    product(product(c,product(product(c,a),b)),bigC(b,a,b)) = product(product(c,product(product(c,a),b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(product(c,product(product(c,a),b)),bigC(b,a,b)))]]) ).

cnf(refute_0_22175,plain,
    ( product(c,product(product(c,a),b)) != product(c,product(c,product(c,b)))
    | product(product(c,product(product(c,a),b)),bigC(b,a,b)) != product(product(c,product(product(c,a),b)),bigC(b,a,b))
    | product(product(c,product(product(c,a),b)),bigC(b,a,b)) = product(product(c,product(c,product(c,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,a),b)),bigC(b,a,b)),product(product(c,product(product(c,a),b)),bigC(b,a,b))) ),[1,0],$fot(product(c,product(c,product(c,b))))]]) ).

cnf(refute_0_22176,plain,
    ( product(c,product(product(c,a),b)) != product(c,product(c,product(c,b)))
    | product(product(c,product(product(c,a),b)),bigC(b,a,b)) = product(product(c,product(c,product(c,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),b)),bigC(b,a,b)),product(product(c,product(product(c,a),b)),bigC(b,a,b))) )],[refute_0_22174,refute_0_22175]) ).

cnf(refute_0_22177,plain,
    product(product(c,product(product(c,a),b)),bigC(b,a,b)) = product(product(c,product(c,product(c,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),b)),product(c,product(c,product(c,b)))) )],[refute_0_22173,refute_0_22176]) ).

cnf(refute_0_22178,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(c,product(product(c,a),b)),bigC(b,a,b))
    | product(product(c,product(product(c,a),b)),bigC(b,a,b)) != product(product(c,product(c,product(c,b))),bigC(b,a,b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(c,product(c,b))),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(c,product(c,b))),bigC(b,a,b))) ),[0],$fot(product(product(c,product(product(c,a),b)),bigC(b,a,b)))]]) ).

cnf(refute_0_22179,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(c,product(product(c,a),b)),bigC(b,a,b))
    | product(product(c,product(product(c,a),a)),b) = product(product(c,product(c,product(c,b))),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),b)),bigC(b,a,b)),product(product(c,product(c,product(c,b))),bigC(b,a,b))) )],[refute_0_22177,refute_0_22178]) ).

cnf(refute_0_22180,plain,
    product(product(c,product(product(c,a),a)),b) = product(product(c,product(c,product(c,b))),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(product(c,a),b)),bigC(b,a,b))) )],[refute_0_22169,refute_0_22179]) ).

cnf(refute_0_22181,plain,
    bigC(c,product(c,product(c,b)),product(c,b)) = bigC(c,product(c,b),product(c,product(c,b))),
    inference(subst,[],[refute_0_18223:[bind(X_23,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_22182,plain,
    product(product(c,product(c,product(c,b))),bigC(b,a,b)) = bigC(c,product(c,product(c,b)),product(c,b)),
    inference(subst,[],[refute_0_9877:[bind(X_22,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_22183,plain,
    ( bigC(c,product(c,product(c,b)),product(c,b)) != bigC(c,product(c,b),product(c,product(c,b)))
    | product(product(c,product(c,product(c,b))),bigC(b,a,b)) != bigC(c,product(c,product(c,b)),product(c,b))
    | product(product(c,product(c,product(c,b))),bigC(b,a,b)) = bigC(c,product(c,b),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,product(c,b))),bigC(b,a,b)))),bind(Y,$fot(bigC(c,product(c,product(c,b)),product(c,b)))),bind(Z,$fot(bigC(c,product(c,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_22184,plain,
    ( bigC(c,product(c,product(c,b)),product(c,b)) != bigC(c,product(c,b),product(c,product(c,b)))
    | product(product(c,product(c,product(c,b))),bigC(b,a,b)) = bigC(c,product(c,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,b))),bigC(b,a,b)),bigC(c,product(c,product(c,b)),product(c,b))) )],[refute_0_22182,refute_0_22183]) ).

cnf(refute_0_22185,plain,
    product(product(c,product(c,product(c,b))),bigC(b,a,b)) = bigC(c,product(c,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),product(c,b)),bigC(c,product(c,b),product(c,product(c,b)))) )],[refute_0_22181,refute_0_22184]) ).

cnf(refute_0_22186,plain,
    ( product(product(c,product(c,product(c,b))),bigC(b,a,b)) != bigC(c,product(c,b),product(c,product(c,b)))
    | product(product(c,product(product(c,a),a)),b) != product(product(c,product(c,product(c,b))),bigC(b,a,b))
    | product(product(c,product(product(c,a),a)),b) = bigC(c,product(c,b),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(c,product(c,b))),bigC(b,a,b))) ),[1],$fot(bigC(c,product(c,b),product(c,product(c,b))))]]) ).

cnf(refute_0_22187,plain,
    ( product(product(c,product(product(c,a),a)),b) != product(product(c,product(c,product(c,b))),bigC(b,a,b))
    | product(product(c,product(product(c,a),a)),b) = bigC(c,product(c,b),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,b))),bigC(b,a,b)),bigC(c,product(c,b),product(c,product(c,b)))) )],[refute_0_22185,refute_0_22186]) ).

cnf(refute_0_22188,plain,
    product(product(c,product(product(c,a),a)),b) = bigC(c,product(c,b),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(c,product(c,product(c,b))),bigC(b,a,b))) )],[refute_0_22180,refute_0_22187]) ).

cnf(refute_0_22189,plain,
    ( product(product(c,product(product(c,a),a)),b) != bigC(c,product(c,b),product(c,product(c,b)))
    | bigC(c,product(c,b),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(c,product(product(c,a),a)),b))),bind(Y,$fot(bigC(c,product(c,b),product(c,product(c,b)))))]]) ).

cnf(refute_0_22190,plain,
    bigC(c,product(c,b),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),bigC(c,product(c,b),product(c,product(c,b)))) )],[refute_0_22188,refute_0_22189]) ).

cnf(refute_0_22191,plain,
    ( bigC(c,product(c,b),product(c,product(c,b))) != product(product(c,product(product(c,a),a)),b)
    | bigC(c,product(c,product(c,b)),product(c,b)) != bigC(c,product(c,b),product(c,product(c,b)))
    | bigC(c,product(c,product(c,b)),product(c,b)) = product(product(c,product(product(c,a),a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,product(c,b)),product(c,b)))),bind(Y,$fot(bigC(c,product(c,b),product(c,product(c,b))))),bind(Z,$fot(product(product(c,product(product(c,a),a)),b)))]]) ).

cnf(refute_0_22192,plain,
    ( bigC(c,product(c,b),product(c,product(c,b))) != product(product(c,product(product(c,a),a)),b)
    | bigC(c,product(c,product(c,b)),product(c,b)) = product(product(c,product(product(c,a),a)),b) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),product(c,b)),bigC(c,product(c,b),product(c,product(c,b)))) )],[refute_0_22181,refute_0_22191]) ).

cnf(refute_0_22193,plain,
    bigC(c,product(c,product(c,b)),product(c,b)) = product(product(c,product(product(c,a),a)),b),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),product(c,product(c,b))),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22190,refute_0_22192]) ).

cnf(refute_0_22194,plain,
    product(product(c,product(c,product(c,b))),bigC(c,b,c)) = bigC(c,product(c,product(c,b)),product(c,b)),
    inference(subst,[],[refute_0_1674:[bind(X_21,$fot(c)),bind(X_22,$fot(product(c,product(c,b)))),bind(X_80,$fot(b))]]) ).

cnf(refute_0_22195,plain,
    ( bigC(c,product(c,product(c,b)),product(c,b)) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,product(c,product(c,b))),bigC(c,b,c)) != bigC(c,product(c,product(c,b)),product(c,b))
    | product(product(c,product(c,product(c,b))),bigC(c,b,c)) = product(product(c,product(product(c,a),a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,product(c,b))),bigC(c,b,c)))),bind(Y,$fot(bigC(c,product(c,product(c,b)),product(c,b)))),bind(Z,$fot(product(product(c,product(product(c,a),a)),b)))]]) ).

cnf(refute_0_22196,plain,
    ( bigC(c,product(c,product(c,b)),product(c,b)) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,product(c,product(c,b))),bigC(c,b,c)) = product(product(c,product(product(c,a),a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,b))),bigC(c,b,c)),bigC(c,product(c,product(c,b)),product(c,b))) )],[refute_0_22194,refute_0_22195]) ).

cnf(refute_0_22197,plain,
    product(product(c,product(c,product(c,b))),bigC(c,b,c)) = product(product(c,product(product(c,a),a)),b),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),product(c,b)),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22193,refute_0_22196]) ).

cnf(refute_0_22198,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),c)) = product(product(c,product(c,product(c,b))),bigC(c,b,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(c)),bind(C,$fot(product(c,product(c,b)))),bind(D,$fot(c)),bind(X_82,$fot(b))]]) ).

cnf(refute_0_22199,plain,
    ( product(product(c,product(c,b)),product(product(c,product(c,b)),c)) != product(product(c,product(c,product(c,b))),bigC(c,b,c))
    | product(product(c,product(c,product(c,b))),bigC(c,b,c)) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,product(c,b)),product(product(c,product(c,b)),c)) = product(product(c,product(product(c,a),a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),c)))),bind(Y,$fot(product(product(c,product(c,product(c,b))),bigC(c,b,c)))),bind(Z,$fot(product(product(c,product(product(c,a),a)),b)))]]) ).

cnf(refute_0_22200,plain,
    ( product(product(c,product(c,product(c,b))),bigC(c,b,c)) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,product(c,b)),product(product(c,product(c,b)),c)) = product(product(c,product(product(c,a),a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),c)),product(product(c,product(c,product(c,b))),bigC(c,b,c))) )],[refute_0_22198,refute_0_22199]) ).

cnf(refute_0_22201,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),c)) = product(product(c,product(product(c,a),a)),b),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,product(c,b))),bigC(c,b,c)),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22197,refute_0_22200]) ).

cnf(refute_0_22202,plain,
    ( difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),c))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),c)) != product(product(c,product(product(c,a),a)),b)
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),product(product(c,product(product(c,a),a)),b)) ),[0],$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),c)))]]) ).

cnf(refute_0_22203,plain,
    ( difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),c))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),c)),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22201,refute_0_22202]) ).

cnf(refute_0_22204,plain,
    ( difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),c))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),c))) )],[refute_0_22137,refute_0_22203]) ).

cnf(refute_0_22205,plain,
    difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),c))) )],[refute_0_22104,refute_0_22204]) ).

cnf(refute_0_22206,plain,
    product(product(c,bigC(a,a,b)),product(c,b)) = product(c,product(bigC(a,a,b),b)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(bigC(a,a,b))),bind(X_66,$fot(b))]]) ).

cnf(refute_0_22207,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(bigC(a,a,c),product(product(b,product(b,c)),bigC(a,a,c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(bigC(a,a,c))),bind(X_23,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_22208,plain,
    product(quotient(product(b,a),product(product(b,c),a)),product(product(b,c),a)) = product(b,a),
    inference(subst,[],[sos04:[bind(A,$fot(product(b,a))),bind(B,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_22209,plain,
    quotient(product(b,a),product(product(b,a),product(product(b,a),product(a,c)))) = product(product(product(a,c),product(b,a)),product(b,a)),
    inference(subst,[],[refute_0_521:[bind(X_15,$fot(product(a,c))),bind(X_16,$fot(product(b,a)))]]) ).

cnf(refute_0_22210,plain,
    ( product(product(b,a),product(a,c)) != product(c,a)
    | quotient(product(b,a),product(product(b,a),product(product(b,a),product(a,c)))) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,a),product(c,a))) = product(product(product(a,c),product(b,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(product(b,a),product(a,c)))),product(product(product(a,c),product(b,a)),product(b,a))) ),[0,1,1],$fot(product(c,a))]]) ).

cnf(refute_0_22211,plain,
    ( quotient(product(b,a),product(product(b,a),product(product(b,a),product(a,c)))) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,a),product(c,a))) = product(product(product(a,c),product(b,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_22210]) ).

cnf(refute_0_22212,plain,
    quotient(product(b,a),product(product(b,a),product(c,a))) = product(product(product(a,c),product(b,a)),product(b,a)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(product(b,a),product(a,c)))),product(product(product(a,c),product(b,a)),product(b,a))) )],[refute_0_22209,refute_0_22211]) ).

cnf(refute_0_22213,plain,
    quotient(product(b,a),product(product(b,a),product(c,a))) = quotient(product(b,a),product(product(b,a),product(c,a))),
    introduced(tautology,[refl,[$fot(quotient(product(b,a),product(product(b,a),product(c,a))))]]) ).

cnf(refute_0_22214,plain,
    ( product(product(b,a),product(c,a)) != product(product(b,c),a)
    | quotient(product(b,a),product(product(b,a),product(c,a))) != quotient(product(b,a),product(product(b,a),product(c,a)))
    | quotient(product(b,a),product(product(b,a),product(c,a))) = quotient(product(b,a),product(product(b,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(c,a))),quotient(product(b,a),product(product(b,a),product(c,a)))) ),[1,1],$fot(product(product(b,c),a))]]) ).

cnf(refute_0_22215,plain,
    ( product(product(b,a),product(c,a)) != product(product(b,c),a)
    | quotient(product(b,a),product(product(b,a),product(c,a))) = quotient(product(b,a),product(product(b,c),a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(c,a))),quotient(product(b,a),product(product(b,a),product(c,a)))) )],[refute_0_22213,refute_0_22214]) ).

cnf(refute_0_22216,plain,
    quotient(product(b,a),product(product(b,a),product(c,a))) = quotient(product(b,a),product(product(b,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(c,a)),product(product(b,c),a)) )],[refute_0_4982,refute_0_22215]) ).

cnf(refute_0_22217,plain,
    ( quotient(product(b,a),product(product(b,a),product(c,a))) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,a),product(c,a))) != quotient(product(b,a),product(product(b,c),a))
    | quotient(product(b,a),product(product(b,c),a)) = product(product(product(a,c),product(b,a)),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(c,a))),product(product(product(a,c),product(b,a)),product(b,a))) ),[0],$fot(quotient(product(b,a),product(product(b,c),a)))]]) ).

cnf(refute_0_22218,plain,
    ( quotient(product(b,a),product(product(b,a),product(c,a))) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,c),a)) = product(product(product(a,c),product(b,a)),product(b,a)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(c,a))),quotient(product(b,a),product(product(b,c),a))) )],[refute_0_22216,refute_0_22217]) ).

cnf(refute_0_22219,plain,
    product(bigC(a,c,b),product(b,a)) = product(bigC(a,c,b),product(b,a)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,b),product(b,a)))]]) ).

cnf(refute_0_22220,plain,
    ( bigC(a,c,b) != c
    | product(bigC(a,c,b),product(b,a)) != product(bigC(a,c,b),product(b,a))
    | product(bigC(a,c,b),product(b,a)) = product(c,product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,b),product(b,a)),product(bigC(a,c,b),product(b,a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22221,plain,
    ( bigC(a,c,b) != c
    | product(bigC(a,c,b),product(b,a)) = product(c,product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,b),product(b,a)),product(bigC(a,c,b),product(b,a))) )],[refute_0_22219,refute_0_22220]) ).

cnf(refute_0_22222,plain,
    product(bigC(a,c,b),product(b,a)) = product(c,product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(a,c,b),c) )],[refute_0_4927,refute_0_22221]) ).

cnf(refute_0_22223,plain,
    ( product(bigC(a,c,b),product(b,a)) != product(c,product(b,a))
    | product(c,product(b,a)) != product(b,product(a,c))
    | product(bigC(a,c,b),product(b,a)) = product(b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,c,b),product(b,a)))),bind(Y,$fot(product(c,product(b,a)))),bind(Z,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_22224,plain,
    ( product(c,product(b,a)) != product(b,product(a,c))
    | product(bigC(a,c,b),product(b,a)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,b),product(b,a)),product(c,product(b,a))) )],[refute_0_22222,refute_0_22223]) ).

cnf(refute_0_22225,plain,
    product(bigC(a,c,b),product(b,a)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(b,a)),product(b,product(a,c))) )],[refute_0_2834,refute_0_22224]) ).

cnf(refute_0_22226,plain,
    product(product(product(a,c),b),product(product(b,a),a)) = product(bigC(a,c,b),product(b,a)),
    inference(subst,[],[refute_0_1123:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(b)),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_22227,plain,
    product(product(product(a,b),product(c,a)),product(b,a)) = product(product(product(a,c),b),product(product(b,a),a)),
    inference(subst,[],[refute_0_5697:[bind(B,$fot(b)),bind(D,$fot(a)),bind(X_63,$fot(a)),bind(X_64,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_22228,plain,
    ( product(product(product(a,b),product(c,a)),product(b,a)) != product(product(product(a,c),b),product(product(b,a),a))
    | product(product(product(a,c),b),product(product(b,a),a)) != product(bigC(a,c,b),product(b,a))
    | product(product(product(a,b),product(c,a)),product(b,a)) = product(bigC(a,c,b),product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),product(c,a)),product(b,a)))),bind(Y,$fot(product(product(product(a,c),b),product(product(b,a),a)))),bind(Z,$fot(product(bigC(a,c,b),product(b,a))))]]) ).

cnf(refute_0_22229,plain,
    ( product(product(product(a,c),b),product(product(b,a),a)) != product(bigC(a,c,b),product(b,a))
    | product(product(product(a,b),product(c,a)),product(b,a)) = product(bigC(a,c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,a)),product(b,a)),product(product(product(a,c),b),product(product(b,a),a))) )],[refute_0_22227,refute_0_22228]) ).

cnf(refute_0_22230,plain,
    product(product(product(a,b),product(c,a)),product(b,a)) = product(bigC(a,c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),b),product(product(b,a),a)),product(bigC(a,c,b),product(b,a))) )],[refute_0_22226,refute_0_22229]) ).

cnf(refute_0_22231,plain,
    product(product(product(a,c),product(b,a)),product(b,a)) = product(product(product(a,b),product(c,a)),product(b,a)),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(product(b,a))),bind(X_63,$fot(a)),bind(X_64,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_22232,plain,
    ( product(product(product(a,b),product(c,a)),product(b,a)) != product(bigC(a,c,b),product(b,a))
    | product(product(product(a,c),product(b,a)),product(b,a)) != product(product(product(a,b),product(c,a)),product(b,a))
    | product(product(product(a,c),product(b,a)),product(b,a)) = product(bigC(a,c,b),product(b,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(b,a)),product(b,a)))),bind(Y,$fot(product(product(product(a,b),product(c,a)),product(b,a)))),bind(Z,$fot(product(bigC(a,c,b),product(b,a))))]]) ).

cnf(refute_0_22233,plain,
    ( product(product(product(a,b),product(c,a)),product(b,a)) != product(bigC(a,c,b),product(b,a))
    | product(product(product(a,c),product(b,a)),product(b,a)) = product(bigC(a,c,b),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(b,a)),product(b,a)),product(product(product(a,b),product(c,a)),product(b,a))) )],[refute_0_22231,refute_0_22232]) ).

cnf(refute_0_22234,plain,
    product(product(product(a,c),product(b,a)),product(b,a)) = product(bigC(a,c,b),product(b,a)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(c,a)),product(b,a)),product(bigC(a,c,b),product(b,a))) )],[refute_0_22230,refute_0_22233]) ).

cnf(refute_0_22235,plain,
    ( product(bigC(a,c,b),product(b,a)) != product(b,product(a,c))
    | product(product(product(a,c),product(b,a)),product(b,a)) != product(bigC(a,c,b),product(b,a))
    | product(product(product(a,c),product(b,a)),product(b,a)) = product(b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(b,a)),product(b,a)))),bind(Y,$fot(product(bigC(a,c,b),product(b,a)))),bind(Z,$fot(product(b,product(a,c))))]]) ).

cnf(refute_0_22236,plain,
    ( product(bigC(a,c,b),product(b,a)) != product(b,product(a,c))
    | product(product(product(a,c),product(b,a)),product(b,a)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(b,a)),product(b,a)),product(bigC(a,c,b),product(b,a))) )],[refute_0_22234,refute_0_22235]) ).

cnf(refute_0_22237,plain,
    product(product(product(a,c),product(b,a)),product(b,a)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,b),product(b,a)),product(b,product(a,c))) )],[refute_0_22225,refute_0_22236]) ).

cnf(refute_0_22238,plain,
    ( product(product(product(a,c),product(b,a)),product(b,a)) != product(b,product(a,c))
    | quotient(product(b,a),product(product(b,c),a)) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,c),a)) = product(b,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(b,a),product(product(b,c),a)),product(product(product(a,c),product(b,a)),product(b,a))) ),[1],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_22239,plain,
    ( quotient(product(b,a),product(product(b,c),a)) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,c),a)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(b,a)),product(b,a)),product(b,product(a,c))) )],[refute_0_22237,refute_0_22238]) ).

cnf(refute_0_22240,plain,
    ( quotient(product(b,a),product(product(b,a),product(c,a))) != product(product(product(a,c),product(b,a)),product(b,a))
    | quotient(product(b,a),product(product(b,c),a)) = product(b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,c),a)),product(product(product(a,c),product(b,a)),product(b,a))) )],[refute_0_22218,refute_0_22239]) ).

cnf(refute_0_22241,plain,
    quotient(product(b,a),product(product(b,c),a)) = product(b,product(a,c)),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,a),product(c,a))),product(product(product(a,c),product(b,a)),product(b,a))) )],[refute_0_22212,refute_0_22240]) ).

cnf(refute_0_22242,plain,
    ( product(quotient(product(b,a),product(product(b,c),a)),product(product(b,c),a)) != product(b,a)
    | quotient(product(b,a),product(product(b,c),a)) != product(b,product(a,c))
    | product(product(b,product(a,c)),product(product(b,c),a)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(b,a),product(product(b,c),a)),product(product(b,c),a)),product(b,a)) ),[0,0],$fot(product(b,product(a,c)))]]) ).

cnf(refute_0_22243,plain,
    ( product(quotient(product(b,a),product(product(b,c),a)),product(product(b,c),a)) != product(b,a)
    | product(product(b,product(a,c)),product(product(b,c),a)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(quotient(product(b,a),product(product(b,c),a)),product(b,product(a,c))) )],[refute_0_22241,refute_0_22242]) ).

cnf(refute_0_22244,plain,
    product(product(b,product(a,c)),product(product(b,c),a)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(quotient(product(b,a),product(product(b,c),a)),product(product(b,c),a)),product(b,a)) )],[refute_0_22208,refute_0_22243]) ).

cnf(refute_0_22245,plain,
    product(product(b,product(b,c)),bigC(a,c,a)) = product(product(b,product(b,c)),bigC(a,c,a)),
    introduced(tautology,[refl,[$fot(product(product(b,product(b,c)),bigC(a,c,a)))]]) ).

cnf(refute_0_22246,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(product(b,product(b,c)),bigC(a,c,a)) != product(product(b,product(b,c)),bigC(a,c,a))
    | product(product(b,product(b,c)),bigC(a,c,a)) = product(product(b,product(b,c)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(b,c)),bigC(a,c,a)),product(product(b,product(b,c)),bigC(a,c,a))) ),[1,1],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_22247,plain,
    ( bigC(a,c,a) != bigC(a,a,c)
    | product(product(b,product(b,c)),bigC(a,c,a)) = product(product(b,product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),bigC(a,c,a)),product(product(b,product(b,c)),bigC(a,c,a))) )],[refute_0_22245,refute_0_22246]) ).

cnf(refute_0_22248,plain,
    product(product(b,product(b,c)),bigC(a,c,a)) = product(product(b,product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,c,a),bigC(a,a,c)) )],[refute_0_376,refute_0_22247]) ).

cnf(refute_0_22249,plain,
    product(product(b,product(a,c)),product(product(b,c),a)) = product(product(b,product(b,c)),bigC(a,c,a)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(b)),bind(C,$fot(product(b,c))),bind(D,$fot(a)),bind(X_82,$fot(c))]]) ).

cnf(refute_0_22250,plain,
    ( product(product(b,product(a,c)),product(product(b,c),a)) != product(product(b,product(b,c)),bigC(a,c,a))
    | product(product(b,product(b,c)),bigC(a,c,a)) != product(product(b,product(b,c)),bigC(a,a,c))
    | product(product(b,product(a,c)),product(product(b,c),a)) = product(product(b,product(b,c)),bigC(a,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(product(b,c),a)))),bind(Y,$fot(product(product(b,product(b,c)),bigC(a,c,a)))),bind(Z,$fot(product(product(b,product(b,c)),bigC(a,a,c))))]]) ).

cnf(refute_0_22251,plain,
    ( product(product(b,product(b,c)),bigC(a,c,a)) != product(product(b,product(b,c)),bigC(a,a,c))
    | product(product(b,product(a,c)),product(product(b,c),a)) = product(product(b,product(b,c)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,c),a)),product(product(b,product(b,c)),bigC(a,c,a))) )],[refute_0_22249,refute_0_22250]) ).

cnf(refute_0_22252,plain,
    product(product(b,product(a,c)),product(product(b,c),a)) = product(product(b,product(b,c)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),bigC(a,c,a)),product(product(b,product(b,c)),bigC(a,a,c))) )],[refute_0_22248,refute_0_22251]) ).

cnf(refute_0_22253,plain,
    ( product(product(b,product(a,c)),product(product(b,c),a)) != product(b,a)
    | product(product(b,product(a,c)),product(product(b,c),a)) != product(product(b,product(b,c)),bigC(a,a,c))
    | product(product(b,product(b,c)),bigC(a,a,c)) = product(b,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,c),a)),product(b,a)) ),[0],$fot(product(product(b,product(b,c)),bigC(a,a,c)))]]) ).

cnf(refute_0_22254,plain,
    ( product(product(b,product(a,c)),product(product(b,c),a)) != product(b,a)
    | product(product(b,product(b,c)),bigC(a,a,c)) = product(b,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,c),a)),product(product(b,product(b,c)),bigC(a,a,c))) )],[refute_0_22252,refute_0_22253]) ).

cnf(refute_0_22255,plain,
    product(product(b,product(b,c)),bigC(a,a,c)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(product(b,c),a)),product(b,a)) )],[refute_0_22244,refute_0_22254]) ).

cnf(refute_0_22256,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(bigC(a,a,c),product(product(b,product(b,c)),bigC(a,a,c)))
    | product(product(b,product(b,c)),bigC(a,a,c)) != product(b,a)
    | bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(bigC(a,a,c),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))),product(bigC(a,a,c),product(product(b,product(b,c)),bigC(a,a,c)))) ),[1,1],$fot(product(b,a))]]) ).

cnf(refute_0_22257,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(bigC(a,a,c),product(product(b,product(b,c)),bigC(a,a,c)))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(bigC(a,a,c),product(b,a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),bigC(a,a,c)),product(b,a)) )],[refute_0_22255,refute_0_22256]) ).

cnf(refute_0_22258,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(bigC(a,a,c),product(b,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))),product(bigC(a,a,c),product(product(b,product(b,c)),bigC(a,a,c)))) )],[refute_0_22207,refute_0_22257]) ).

cnf(refute_0_22259,plain,
    bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) = product(product(bigC(a,a,c),product(X_42,product(b,c))),bigC(a,a,c)),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(bigC(a,a,c))),bind(X_22,$fot(product(X_42,product(b,c))))]]) ).

cnf(refute_0_22260,plain,
    ( bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) != product(product(bigC(a,a,c),product(X_42,product(b,c))),bigC(a,a,c))
    | product(bigC(a,a,c),product(X_42,product(b,c))) != bigC(product(a,c),X_42,product(a,b))
    | bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)),product(product(bigC(a,a,c),product(X_42,product(b,c))),bigC(a,a,c))) ),[1,0],$fot(bigC(product(a,c),X_42,product(a,b)))]]) ).

cnf(refute_0_22261,plain,
    ( bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) != product(product(bigC(a,a,c),product(X_42,product(b,c))),bigC(a,a,c))
    | bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(X_42,product(b,c))),bigC(product(a,c),X_42,product(a,b))) )],[refute_0_7658,refute_0_22260]) ).

cnf(refute_0_22262,plain,
    bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)),product(product(bigC(a,a,c),product(X_42,product(b,c))),bigC(a,a,c))) )],[refute_0_22259,refute_0_22261]) ).

cnf(refute_0_22263,plain,
    bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) = bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(bigC(a,a,c))),bind(B,$fot(bigC(a,a,c))),bind(C,$fot(product(X_42,product(b,c))))]]) ).

cnf(refute_0_22264,plain,
    ( bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) != bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c)))
    | bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) != product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)),product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))) ),[0],$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))))]]) ).

cnf(refute_0_22265,plain,
    ( bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)) != product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)),bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c)))) )],[refute_0_22263,refute_0_22264]) ).

cnf(refute_0_22266,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),product(X_42,product(b,c)),bigC(a,a,c)),product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))) )],[refute_0_22262,refute_0_22265]) ).

cnf(refute_0_22267,plain,
    bigC(quotient(product(a,product(c,b)),product(a,b)),product(a,b),X_23) = product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(a,product(c,b)))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_22268,plain,
    quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),
    introduced(tautology,[refl,[$fot(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)))]]) ).

cnf(refute_0_22269,plain,
    ( quotient(product(a,b),product(c,product(c,b))) != product(a,product(c,b))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = quotient(product(a,product(c,b)),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))) ),[1,0],$fot(product(a,product(c,b)))]]) ).

cnf(refute_0_22270,plain,
    ( quotient(product(a,b),product(c,product(c,b))) != product(a,product(c,b))
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = quotient(product(a,product(c,b)),product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b))) )],[refute_0_22268,refute_0_22269]) ).

cnf(refute_0_22271,plain,
    quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) = quotient(product(a,product(c,b)),product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,b),product(c,product(c,b))),product(a,product(c,b))) )],[refute_0_12311,refute_0_22270]) ).

cnf(refute_0_22272,plain,
    ( quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != product(a,c)
    | quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != quotient(product(a,product(c,b)),product(a,b))
    | quotient(product(a,product(c,b)),product(a,b)) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,c)) ),[0],$fot(quotient(product(a,product(c,b)),product(a,b)))]]) ).

cnf(refute_0_22273,plain,
    ( quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)) != product(a,c)
    | quotient(product(a,product(c,b)),product(a,b)) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),quotient(product(a,product(c,b)),product(a,b))) )],[refute_0_22271,refute_0_22272]) ).

cnf(refute_0_22274,plain,
    quotient(product(a,product(c,b)),product(a,b)) = product(a,c),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),product(c,product(c,b))),product(a,b)),product(a,c)) )],[refute_0_12303,refute_0_22273]) ).

cnf(refute_0_22275,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,b)),product(a,b),X_23) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | quotient(product(a,product(c,b)),product(a,b)) != product(a,c)
    | bigC(product(a,c),product(a,b),X_23) = product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,b)),product(a,b),X_23),product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_22276,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,b)),product(a,b),X_23) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | bigC(product(a,c),product(a,b),X_23) = product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,b)),product(a,c)) )],[refute_0_22274,refute_0_22275]) ).

cnf(refute_0_22277,plain,
    bigC(product(a,c),product(a,b),X_23) = product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,b)),product(a,b),X_23),product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))) )],[refute_0_22267,refute_0_22276]) ).

cnf(refute_0_22278,plain,
    ( bigC(product(a,c),product(a,b),X_23) != product(product(a,X_23),c)
    | bigC(product(a,c),product(a,b),X_23) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | product(product(a,X_23),c) = product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,c),product(a,b),X_23),product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))) ),[0],$fot(product(product(a,X_23),c))]]) ).

cnf(refute_0_22279,plain,
    ( bigC(product(a,c),product(a,b),X_23) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | product(product(a,X_23),c) = product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),X_23),product(product(a,X_23),c)) )],[refute_0_15161,refute_0_22278]) ).

cnf(refute_0_22280,plain,
    bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) = bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)))]]) ).

cnf(refute_0_22281,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) != bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b))
    | quotient(product(a,product(c,b)),product(a,b)) != product(a,c)
    | bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) = bigC(product(a,c),X_23,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)),bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b))) ),[1,0],$fot(product(a,c))]]) ).

cnf(refute_0_22282,plain,
    ( quotient(product(a,product(c,b)),product(a,b)) != product(a,c)
    | bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) = bigC(product(a,c),X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)),bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b))) )],[refute_0_22280,refute_0_22281]) ).

cnf(refute_0_22283,plain,
    bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) = bigC(product(a,c),X_23,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(c,b)),product(a,b)),product(a,c)) )],[refute_0_22274,refute_0_22282]) ).

cnf(refute_0_22284,plain,
    product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) = bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(a,product(c,b)))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_22285,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) != bigC(product(a,c),X_23,product(a,b))
    | product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) != bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b))
    | product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) = bigC(product(a,c),X_23,product(a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))))),bind(Y,$fot(bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)))),bind(Z,$fot(bigC(product(a,c),X_23,product(a,b))))]]) ).

cnf(refute_0_22286,plain,
    ( bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)) != bigC(product(a,c),X_23,product(a,b))
    | product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) = bigC(product(a,c),X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))),bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b))) )],[refute_0_22284,refute_0_22285]) ).

cnf(refute_0_22287,plain,
    product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) = bigC(product(a,c),X_23,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(a,product(c,b)),product(a,b)),X_23,product(a,b)),bigC(product(a,c),X_23,product(a,b))) )],[refute_0_22283,refute_0_22286]) ).

cnf(refute_0_22288,plain,
    ( product(product(a,X_23),c) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))) != bigC(product(a,c),X_23,product(a,b))
    | product(product(a,X_23),c) = bigC(product(a,c),X_23,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,X_23),c),bigC(product(a,c),X_23,product(a,b))) ),[0],$fot(product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))))]]) ).

cnf(refute_0_22289,plain,
    ( product(product(a,X_23),c) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | product(product(a,X_23),c) = bigC(product(a,c),X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b)))),bigC(product(a,c),X_23,product(a,b))) )],[refute_0_22287,refute_0_22288]) ).

cnf(refute_0_22290,plain,
    ( bigC(product(a,c),product(a,b),X_23) != product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))
    | product(product(a,X_23),c) = bigC(product(a,c),X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,X_23),c),product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))) )],[refute_0_22279,refute_0_22289]) ).

cnf(refute_0_22291,plain,
    product(product(a,X_23),c) = bigC(product(a,c),X_23,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),product(a,b),X_23),product(product(a,product(c,b)),product(X_23,quotient(product(a,product(c,b)),product(a,b))))) )],[refute_0_22277,refute_0_22290]) ).

cnf(refute_0_22292,plain,
    ( product(product(a,X_23),c) != bigC(product(a,c),X_23,product(a,b))
    | bigC(product(a,c),X_23,product(a,b)) = product(product(a,X_23),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(a,X_23),c))),bind(Y,$fot(bigC(product(a,c),X_23,product(a,b))))]]) ).

cnf(refute_0_22293,plain,
    bigC(product(a,c),X_23,product(a,b)) = product(product(a,X_23),c),
    inference(resolve,[$cnf( $equal(product(product(a,X_23),c),bigC(product(a,c),X_23,product(a,b))) )],[refute_0_22291,refute_0_22292]) ).

cnf(refute_0_22294,plain,
    bigC(product(a,c),X_42,product(a,b)) = product(product(a,X_42),c),
    inference(subst,[],[refute_0_22293:[bind(X_23,$fot(X_42))]]) ).

cnf(refute_0_22295,plain,
    product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) = product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)),
    introduced(tautology,[refl,[$fot(product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_22296,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(a,X_42),c)
    | product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) != product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))
    | product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) = product(product(product(a,X_42),c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)),product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))) ),[1,0],$fot(product(product(a,X_42),c))]]) ).

cnf(refute_0_22297,plain,
    ( bigC(product(a,c),X_42,product(a,b)) != product(product(a,X_42),c)
    | product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) = product(product(product(a,X_42),c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)),product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))) )],[refute_0_22295,refute_0_22296]) ).

cnf(refute_0_22298,plain,
    product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) = product(product(product(a,X_42),c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),X_42,product(a,b)),product(product(a,X_42),c)) )],[refute_0_22294,refute_0_22297]) ).

cnf(refute_0_22299,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) != product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))
    | product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)) != product(product(product(a,X_42),c),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) = product(product(product(a,X_42),c),bigC(a,a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))),product(product(product(a,X_42),c),bigC(a,a,c))) ),[0],$fot(product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)))]]) ).

cnf(refute_0_22300,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) != product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) = product(product(product(a,X_42),c),bigC(a,a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c)),product(product(product(a,X_42),c),bigC(a,a,c))) )],[refute_0_22298,refute_0_22299]) ).

cnf(refute_0_22301,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))) = product(product(product(a,X_42),c),bigC(a,a,c)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(X_42,product(b,c))),product(bigC(product(a,c),X_42,product(a,b)),bigC(a,a,c))) )],[refute_0_22266,refute_0_22300]) ).

cnf(refute_0_22302,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(product(product(a,b),c),bigC(a,a,c)),
    inference(subst,[],[refute_0_22301:[bind(X_42,$fot(b))]]) ).

cnf(refute_0_22303,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(product(product(a,b),c),bigC(a,a,c))
    | product(product(product(a,b),c),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))))),bind(Y,$fot(product(product(product(a,b),c),bigC(a,a,c)))),bind(Z,$fot(product(c,bigC(a,a,b))))]]) ).

cnf(refute_0_22304,plain,
    ( product(product(product(a,b),c),bigC(a,a,c)) != product(c,bigC(a,a,b))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(c,bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))),product(product(product(a,b),c),bigC(a,a,c))) )],[refute_0_22302,refute_0_22303]) ).

cnf(refute_0_22305,plain,
    bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),bigC(a,a,c)),product(c,bigC(a,a,b))) )],[refute_0_21780,refute_0_22304]) ).

cnf(refute_0_22306,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(bigC(a,a,c),product(b,a))
    | bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(c,bigC(a,a,b))
    | product(c,bigC(a,a,b)) = product(bigC(a,a,c),product(b,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))),product(bigC(a,a,c),product(b,a))) ),[0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_22307,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(bigC(a,a,c),product(b,a))
    | product(c,bigC(a,a,b)) = product(bigC(a,a,c),product(b,a)) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))),product(c,bigC(a,a,b))) )],[refute_0_22305,refute_0_22306]) ).

cnf(refute_0_22308,plain,
    bigC(a,product(c,a),b) = bigC(a,b,product(c,a)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_22309,plain,
    product(bigC(a,a,c),product(b,a)) = bigC(a,product(c,a),b),
    inference(subst,[],[refute_0_2911:[bind(X_37,$fot(c)),bind(X_44,$fot(a)),bind(X_45,$fot(b))]]) ).

cnf(refute_0_22310,plain,
    ( bigC(a,product(c,a),b) != bigC(a,b,product(c,a))
    | product(bigC(a,a,c),product(b,a)) != bigC(a,product(c,a),b)
    | product(bigC(a,a,c),product(b,a)) = bigC(a,b,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,c),product(b,a)))),bind(Y,$fot(bigC(a,product(c,a),b))),bind(Z,$fot(bigC(a,b,product(c,a))))]]) ).

cnf(refute_0_22311,plain,
    ( bigC(a,product(c,a),b) != bigC(a,b,product(c,a))
    | product(bigC(a,a,c),product(b,a)) = bigC(a,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,a)),bigC(a,product(c,a),b)) )],[refute_0_22309,refute_0_22310]) ).

cnf(refute_0_22312,plain,
    product(bigC(a,a,c),product(b,a)) = bigC(a,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(a,product(c,a),b),bigC(a,b,product(c,a))) )],[refute_0_22308,refute_0_22311]) ).

cnf(refute_0_22313,plain,
    ( product(bigC(a,a,c),product(b,a)) != bigC(a,b,product(c,a))
    | product(c,bigC(a,a,b)) != product(bigC(a,a,c),product(b,a))
    | product(c,bigC(a,a,b)) = bigC(a,b,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(a,a,b)),product(bigC(a,a,c),product(b,a))) ),[1],$fot(bigC(a,b,product(c,a)))]]) ).

cnf(refute_0_22314,plain,
    ( product(c,bigC(a,a,b)) != product(bigC(a,a,c),product(b,a))
    | product(c,bigC(a,a,b)) = bigC(a,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,a)),bigC(a,b,product(c,a))) )],[refute_0_22312,refute_0_22313]) ).

cnf(refute_0_22315,plain,
    ( bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))) != product(bigC(a,a,c),product(b,a))
    | product(c,bigC(a,a,b)) = bigC(a,b,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,b)),product(bigC(a,a,c),product(b,a))) )],[refute_0_22307,refute_0_22314]) ).

cnf(refute_0_22316,plain,
    product(c,bigC(a,a,b)) = bigC(a,b,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,a,c),bigC(a,a,c),product(b,product(b,c))),product(bigC(a,a,c),product(b,a))) )],[refute_0_22258,refute_0_22315]) ).

cnf(refute_0_22317,plain,
    ( product(c,bigC(a,a,b)) != bigC(a,b,product(c,a))
    | bigC(a,b,product(c,a)) = product(c,bigC(a,a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(a,a,b)))),bind(Y,$fot(bigC(a,b,product(c,a))))]]) ).

cnf(refute_0_22318,plain,
    bigC(a,b,product(c,a)) = product(c,bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(a,a,b)),bigC(a,b,product(c,a))) )],[refute_0_22316,refute_0_22317]) ).

cnf(refute_0_22319,plain,
    product(bigC(a,b,product(c,a)),product(c,b)) = product(bigC(a,b,product(c,a)),product(c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(c,a)),product(c,b)))]]) ).

cnf(refute_0_22320,plain,
    ( bigC(a,b,product(c,a)) != product(c,bigC(a,a,b))
    | product(bigC(a,b,product(c,a)),product(c,b)) != product(bigC(a,b,product(c,a)),product(c,b))
    | product(bigC(a,b,product(c,a)),product(c,b)) = product(product(c,bigC(a,a,b)),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(c,b)),product(bigC(a,b,product(c,a)),product(c,b))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_22321,plain,
    ( bigC(a,b,product(c,a)) != product(c,bigC(a,a,b))
    | product(bigC(a,b,product(c,a)),product(c,b)) = product(product(c,bigC(a,a,b)),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(c,b)),product(bigC(a,b,product(c,a)),product(c,b))) )],[refute_0_22319,refute_0_22320]) ).

cnf(refute_0_22322,plain,
    product(bigC(a,b,product(c,a)),product(c,b)) = product(product(c,bigC(a,a,b)),product(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,a)),product(c,bigC(a,a,b))) )],[refute_0_22318,refute_0_22321]) ).

cnf(refute_0_22323,plain,
    ( product(bigC(a,b,product(c,a)),product(c,b)) != product(product(c,bigC(a,a,b)),product(c,b))
    | product(product(c,bigC(a,a,b)),product(c,b)) != product(c,product(bigC(a,a,b),b))
    | product(bigC(a,b,product(c,a)),product(c,b)) = product(c,product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(c,a)),product(c,b)))),bind(Y,$fot(product(product(c,bigC(a,a,b)),product(c,b)))),bind(Z,$fot(product(c,product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_22324,plain,
    ( product(product(c,bigC(a,a,b)),product(c,b)) != product(c,product(bigC(a,a,b),b))
    | product(bigC(a,b,product(c,a)),product(c,b)) = product(c,product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(c,b)),product(product(c,bigC(a,a,b)),product(c,b))) )],[refute_0_22322,refute_0_22323]) ).

cnf(refute_0_22325,plain,
    product(bigC(a,b,product(c,a)),product(c,b)) = product(c,product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(c,b)),product(c,product(bigC(a,a,b),b))) )],[refute_0_22206,refute_0_22324]) ).

cnf(refute_0_22326,plain,
    difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))))]]) ).

cnf(refute_0_22327,plain,
    ( difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) != difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b)))
    | product(bigC(a,b,product(c,a)),product(c,b)) != product(c,product(bigC(a,a,b),b))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b)))) ),[1,0],$fot(product(c,product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_22328,plain,
    ( product(bigC(a,b,product(c,a)),product(c,b)) != product(c,product(bigC(a,a,b),b))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b)))) )],[refute_0_22326,refute_0_22327]) ).

cnf(refute_0_22329,plain,
    difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(bigC(a,a,b),b))) )],[refute_0_22325,refute_0_22328]) ).

cnf(refute_0_22330,plain,
    ( difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) != difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))
    | difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) != product(product(c,product(product(c,a),a)),b)
    | difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),product(product(c,product(product(c,a),a)),b)) ),[0],$fot(difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))))]]) ).

cnf(refute_0_22331,plain,
    ( difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))) != product(product(c,product(product(c,a),a)),b)
    | difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))) )],[refute_0_22329,refute_0_22330]) ).

cnf(refute_0_22332,plain,
    difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) = product(product(c,product(product(c,a),a)),b),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(c,a)),product(c,b)),product(c,product(c,b))),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22205,refute_0_22331]) ).

cnf(refute_0_22333,plain,
    ( difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) != product(product(c,product(product(c,a),a)),b)
    | product(product(c,product(product(c,a),a)),b) != product(product(bigC(a,b,b),a),b)
    | difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) = product(product(bigC(a,b,b),a),b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))),product(product(bigC(a,b,b),a),b)) ),[0],$fot(product(product(c,product(product(c,a),a)),b))]]) ).

cnf(refute_0_22334,plain,
    ( difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) != product(product(c,product(product(c,a),a)),b)
    | difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) = product(product(bigC(a,b,b),a),b) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(product(c,a),a)),b),product(product(bigC(a,b,b),a),b)) )],[refute_0_22020,refute_0_22333]) ).

cnf(refute_0_22335,plain,
    difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) = product(product(bigC(a,b,b),a),b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))),product(product(c,product(product(c,a),a)),b)) )],[refute_0_22332,refute_0_22334]) ).

cnf(refute_0_22336,plain,
    difference(c,product(c,difference(product(c,b),product(c,bigC(b,b,c))))) = difference(product(c,b),product(c,bigC(b,b,c))),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22337,plain,
    ( difference(c,product(c,difference(product(c,b),product(c,bigC(b,b,c))))) != difference(product(c,b),product(c,bigC(b,b,c)))
    | product(c,difference(product(c,b),product(c,bigC(b,b,c)))) != bigC(a,b,product(a,b))
    | difference(c,bigC(a,b,product(a,b))) = difference(product(c,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,difference(product(c,b),product(c,bigC(b,b,c))))),difference(product(c,b),product(c,bigC(b,b,c)))) ),[0,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22338,plain,
    ( difference(c,product(c,difference(product(c,b),product(c,bigC(b,b,c))))) != difference(product(c,b),product(c,bigC(b,b,c)))
    | difference(c,bigC(a,b,product(a,b))) = difference(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),bigC(a,b,product(a,b))) )],[refute_0_22083,refute_0_22337]) ).

cnf(refute_0_22339,plain,
    difference(c,bigC(a,b,product(a,b))) = difference(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(c,product(c,difference(product(c,b),product(c,bigC(b,b,c))))),difference(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_22336,refute_0_22338]) ).

cnf(refute_0_22340,plain,
    difference(c,bigC(c,c,product(a,b))) = product(product(a,b),c),
    inference(subst,[],[refute_0_456:[bind(X_36,$fot(c)),bind(X_37,$fot(product(a,b)))]]) ).

cnf(refute_0_22341,plain,
    ( bigC(c,c,product(a,b)) != bigC(a,b,product(a,b))
    | difference(c,bigC(c,c,product(a,b))) != product(product(a,b),c)
    | difference(c,bigC(a,b,product(a,b))) = product(product(a,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(c,c,product(a,b))),product(product(a,b),c)) ),[0,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22342,plain,
    ( difference(c,bigC(c,c,product(a,b))) != product(product(a,b),c)
    | difference(c,bigC(a,b,product(a,b))) = product(product(a,b),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,b)),bigC(a,b,product(a,b))) )],[refute_0_5916,refute_0_22341]) ).

cnf(refute_0_22343,plain,
    difference(c,bigC(a,b,product(a,b))) = product(product(a,b),c),
    inference(resolve,[$cnf( $equal(difference(c,bigC(c,c,product(a,b))),product(product(a,b),c)) )],[refute_0_22340,refute_0_22342]) ).

cnf(refute_0_22344,plain,
    ( difference(c,bigC(a,b,product(a,b))) != product(product(a,b),c)
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(c,bigC(a,b,product(a,b))) = product(c,product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(c,bigC(a,b,product(a,b))),product(c,product(c,b))) ),[0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_22345,plain,
    ( difference(c,bigC(a,b,product(a,b))) != product(product(a,b),c)
    | difference(c,bigC(a,b,product(a,b))) = product(c,product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_22344]) ).

cnf(refute_0_22346,plain,
    difference(c,bigC(a,b,product(a,b))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(a,b))),product(product(a,b),c)) )],[refute_0_22343,refute_0_22345]) ).

cnf(refute_0_22347,plain,
    ( difference(c,bigC(a,b,product(a,b))) != difference(product(c,b),product(c,bigC(b,b,c)))
    | difference(c,bigC(a,b,product(a,b))) != product(c,product(c,b))
    | product(c,product(c,b)) = difference(product(c,b),product(c,bigC(b,b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,bigC(a,b,product(a,b))),difference(product(c,b),product(c,bigC(b,b,c)))) ),[0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22348,plain,
    ( difference(c,bigC(a,b,product(a,b))) != difference(product(c,b),product(c,bigC(b,b,c)))
    | product(c,product(c,b)) = difference(product(c,b),product(c,bigC(b,b,c))) ),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(a,b))),product(c,product(c,b))) )],[refute_0_22346,refute_0_22347]) ).

cnf(refute_0_22349,plain,
    product(c,product(c,b)) = difference(product(c,b),product(c,bigC(b,b,c))),
    inference(resolve,[$cnf( $equal(difference(c,bigC(a,b,product(a,b))),difference(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_22339,refute_0_22348]) ).

cnf(refute_0_22350,plain,
    ( product(c,product(c,b)) != difference(product(c,b),product(c,bigC(b,b,c)))
    | difference(product(c,b),product(c,bigC(b,b,c))) = product(c,product(c,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,b)))),bind(Y,$fot(difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22351,plain,
    difference(product(c,b),product(c,bigC(b,b,c))) = product(c,product(c,b)),
    inference(resolve,[$cnf( $equal(product(c,product(c,b)),difference(product(c,b),product(c,bigC(b,b,c)))) )],[refute_0_22349,refute_0_22350]) ).

cnf(refute_0_22352,plain,
    difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22353,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) != difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c))))
    | difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c))))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22354,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22352,refute_0_22353]) ).

cnf(refute_0_22355,plain,
    difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,bigC(b,b,c))),product(c,product(c,b))) )],[refute_0_22351,refute_0_22354]) ).

cnf(refute_0_22356,plain,
    product(bigC(a,b,product(c,a)),product(X_42,b)) = product(bigC(a,b,product(c,a)),product(X_42,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(c,a)),product(X_42,b)))]]) ).

cnf(refute_0_22357,plain,
    ( bigC(a,b,product(c,a)) != product(c,bigC(a,a,b))
    | product(bigC(a,b,product(c,a)),product(X_42,b)) != product(bigC(a,b,product(c,a)),product(X_42,b))
    | product(bigC(a,b,product(c,a)),product(X_42,b)) = product(product(c,bigC(a,a,b)),product(X_42,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(X_42,b)),product(bigC(a,b,product(c,a)),product(X_42,b))) ),[1,0],$fot(product(c,bigC(a,a,b)))]]) ).

cnf(refute_0_22358,plain,
    ( bigC(a,b,product(c,a)) != product(c,bigC(a,a,b))
    | product(bigC(a,b,product(c,a)),product(X_42,b)) = product(product(c,bigC(a,a,b)),product(X_42,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(X_42,b)),product(bigC(a,b,product(c,a)),product(X_42,b))) )],[refute_0_22356,refute_0_22357]) ).

cnf(refute_0_22359,plain,
    product(bigC(a,b,product(c,a)),product(X_42,b)) = product(product(c,bigC(a,a,b)),product(X_42,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(c,a)),product(c,bigC(a,a,b))) )],[refute_0_22318,refute_0_22358]) ).

cnf(refute_0_22360,plain,
    ( bigC(product(a,b),X_42,product(c,product(c,b))) != product(bigC(a,b,product(c,a)),product(X_42,b))
    | product(bigC(a,b,product(c,a)),product(X_42,b)) != product(product(c,bigC(a,a,b)),product(X_42,b))
    | bigC(product(a,b),X_42,product(c,product(c,b))) = product(product(c,bigC(a,a,b)),product(X_42,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,b),X_42,product(c,product(c,b))),product(product(c,bigC(a,a,b)),product(X_42,b))) ),[0],$fot(product(bigC(a,b,product(c,a)),product(X_42,b)))]]) ).

cnf(refute_0_22361,plain,
    ( bigC(product(a,b),X_42,product(c,product(c,b))) != product(bigC(a,b,product(c,a)),product(X_42,b))
    | bigC(product(a,b),X_42,product(c,product(c,b))) = product(product(c,bigC(a,a,b)),product(X_42,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(c,a)),product(X_42,b)),product(product(c,bigC(a,a,b)),product(X_42,b))) )],[refute_0_22359,refute_0_22360]) ).

cnf(refute_0_22362,plain,
    bigC(product(a,b),X_42,product(c,product(c,b))) = product(product(c,bigC(a,a,b)),product(X_42,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_42,product(c,product(c,b))),product(bigC(a,b,product(c,a)),product(X_42,b))) )],[refute_0_22119,refute_0_22361]) ).

cnf(refute_0_22363,plain,
    bigC(product(a,b),c,product(c,product(c,b))) = product(product(c,bigC(a,a,b)),product(c,b)),
    inference(subst,[],[refute_0_22362:[bind(X_42,$fot(c))]]) ).

cnf(refute_0_22364,plain,
    ( bigC(product(a,b),c,product(c,product(c,b))) != product(product(c,bigC(a,a,b)),product(c,b))
    | product(product(c,bigC(a,a,b)),product(c,b)) != product(c,product(bigC(a,a,b),b))
    | bigC(product(a,b),c,product(c,product(c,b))) = product(c,product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),c,product(c,product(c,b))))),bind(Y,$fot(product(product(c,bigC(a,a,b)),product(c,b)))),bind(Z,$fot(product(c,product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_22365,plain,
    ( product(product(c,bigC(a,a,b)),product(c,b)) != product(c,product(bigC(a,a,b),b))
    | bigC(product(a,b),c,product(c,product(c,b))) = product(c,product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,product(c,b))),product(product(c,bigC(a,a,b)),product(c,b))) )],[refute_0_22363,refute_0_22364]) ).

cnf(refute_0_22366,plain,
    bigC(product(a,b),c,product(c,product(c,b))) = product(c,product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(a,a,b)),product(c,b)),product(c,product(bigC(a,a,b),b))) )],[refute_0_22206,refute_0_22365]) ).

cnf(refute_0_22367,plain,
    ( bigC(product(a,b),c,product(c,product(c,b))) != product(c,product(bigC(a,a,b),b))
    | bigC(product(a,b),c,product(product(a,b),c)) != bigC(product(a,b),c,product(c,product(c,b)))
    | bigC(product(a,b),c,product(product(a,b),c)) = product(c,product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),c,product(product(a,b),c)))),bind(Y,$fot(bigC(product(a,b),c,product(c,product(c,b))))),bind(Z,$fot(product(c,product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_22368,plain,
    ( bigC(product(a,b),c,product(c,product(c,b))) != product(c,product(bigC(a,a,b),b))
    | bigC(product(a,b),c,product(product(a,b),c)) = product(c,product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(product(a,b),c)),bigC(product(a,b),c,product(c,product(c,b)))) )],[refute_0_22124,refute_0_22367]) ).

cnf(refute_0_22369,plain,
    bigC(product(a,b),c,product(product(a,b),c)) = product(c,product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(c,product(c,b))),product(c,product(bigC(a,a,b),b))) )],[refute_0_22366,refute_0_22368]) ).

cnf(refute_0_22370,plain,
    ( bigC(product(a,b),c,product(product(a,b),c)) != product(c,product(bigC(a,a,b),b))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) != bigC(product(a,b),c,product(product(a,b),c))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(c,product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(a,b)),product(c,product(c,b))))),bind(Y,$fot(bigC(product(a,b),c,product(product(a,b),c)))),bind(Z,$fot(product(c,product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_22371,plain,
    ( bigC(product(a,b),c,product(product(a,b),c)) != product(c,product(bigC(a,a,b),b))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(c,product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,product(c,b))),bigC(product(a,b),c,product(product(a,b),c))) )],[refute_0_22128,refute_0_22370]) ).

cnf(refute_0_22372,plain,
    product(bigC(a,b,product(a,b)),product(c,product(c,b))) = product(c,product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(product(a,b),c)),product(c,product(bigC(a,a,b),b))) )],[refute_0_22369,refute_0_22371]) ).

cnf(refute_0_22373,plain,
    product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22374,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c))))
    | product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,b,product(a,b)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c))))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22375,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,b,product(a,b)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22373,refute_0_22374]) ).

cnf(refute_0_22376,plain,
    product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(bigC(a,b,product(a,b)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,bigC(b,b,c))),product(c,product(c,b))) )],[refute_0_22351,refute_0_22375]) ).

cnf(refute_0_22377,plain,
    ( product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) != product(bigC(a,b,product(a,b)),product(c,product(c,b)))
    | product(bigC(a,b,product(a,b)),product(c,product(c,b))) != product(c,product(bigC(a,a,b),b))
    | product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(c,product(bigC(a,a,b),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(c,product(c,b))))),bind(Z,$fot(product(c,product(bigC(a,a,b),b))))]]) ).

cnf(refute_0_22378,plain,
    ( product(bigC(a,b,product(a,b)),product(c,product(c,b))) != product(c,product(bigC(a,a,b),b))
    | product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(c,product(bigC(a,a,b),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),product(bigC(a,b,product(a,b)),product(c,product(c,b)))) )],[refute_0_22376,refute_0_22377]) ).

cnf(refute_0_22379,plain,
    product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) = product(c,product(bigC(a,a,b),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(bigC(a,a,b),b))) )],[refute_0_22372,refute_0_22378]) ).

cnf(refute_0_22380,plain,
    difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),
    introduced(tautology,[refl,[$fot(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22381,plain,
    ( difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c))))
    | product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) != product(c,product(bigC(a,a,b),b))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c))))) ),[1,0],$fot(product(c,product(bigC(a,a,b),b)))]]) ).

cnf(refute_0_22382,plain,
    ( product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))) != product(c,product(bigC(a,a,b),b))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22380,refute_0_22381]) ).

cnf(refute_0_22383,plain,
    difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),product(c,product(bigC(a,a,b),b))) )],[refute_0_22379,refute_0_22382]) ).

cnf(refute_0_22384,plain,
    ( difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c))))
    | difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) != difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))))),bind(Y,$fot(difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))))),bind(Z,$fot(difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))))]]) ).

cnf(refute_0_22385,plain,
    ( difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))) != difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c))))) )],[refute_0_22383,refute_0_22384]) ).

cnf(refute_0_22386,plain,
    difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(difference(product(c,product(bigC(a,a,b),b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))) )],[refute_0_22355,refute_0_22385]) ).

cnf(refute_0_22387,plain,
    ( difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))
    | difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) != product(product(bigC(a,b,b),a),b)
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(product(bigC(a,b,b),a),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))))),bind(Y,$fot(difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))))),bind(Z,$fot(product(product(bigC(a,b,b),a),b)))]]) ).

cnf(refute_0_22388,plain,
    ( difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))) != product(product(bigC(a,b,b),a),b)
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(product(bigC(a,b,b),a),b) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b)))) )],[refute_0_22386,refute_0_22387]) ).

cnf(refute_0_22389,plain,
    difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) = product(product(bigC(a,b,b),a),b),
    inference(resolve,[$cnf( $equal(difference(product(c,product(bigC(a,a,b),b)),product(c,product(c,b))),product(product(bigC(a,b,b),a),b)) )],[refute_0_22335,refute_0_22388]) ).

cnf(refute_0_22390,plain,
    ( difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != product(product(bigC(a,b,b),a),b)
    | product(product(bigC(a,b,b),a),b) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) ),[0],$fot(product(product(bigC(a,b,b),a),b))]]) ).

cnf(refute_0_22391,plain,
    ( difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(product(bigC(a,b,b),a),b) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),product(product(bigC(a,b,b),a),b)) )],[refute_0_22389,refute_0_22390]) ).

cnf(refute_0_22392,plain,
    product(product(c,c),bigC(b,b,product(a,c))) = product(product(c,c),bigC(b,b,product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(c,c),bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_22393,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(b,b,product(a,c))) != product(product(c,c),bigC(b,b,product(a,c)))
    | product(product(c,c),bigC(b,b,product(a,c))) = product(c,bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),bigC(b,b,product(a,c))),product(product(c,c),bigC(b,b,product(a,c)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22394,plain,
    ( product(c,c) != c
    | product(product(c,c),bigC(b,b,product(a,c))) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(b,b,product(a,c))),product(product(c,c),bigC(b,b,product(a,c)))) )],[refute_0_22392,refute_0_22393]) ).

cnf(refute_0_22395,plain,
    product(product(c,c),bigC(b,b,product(a,c))) = product(c,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_22394]) ).

cnf(refute_0_22396,plain,
    product(product(c,product(c,b)),product(c,bigC(a,b,b))) = product(product(c,c),bigC(b,b,product(a,c))),
    inference(subst,[],[refute_0_16934:[bind(A,$fot(c)),bind(C,$fot(c))]]) ).

cnf(refute_0_22397,plain,
    ( product(product(c,c),bigC(b,b,product(a,c))) != product(c,bigC(b,b,product(a,c)))
    | product(product(c,product(c,b)),product(c,bigC(a,b,b))) != product(product(c,c),bigC(b,b,product(a,c)))
    | product(product(c,product(c,b)),product(c,bigC(a,b,b))) = product(c,bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(c,bigC(a,b,b))))),bind(Y,$fot(product(product(c,c),bigC(b,b,product(a,c))))),bind(Z,$fot(product(c,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22398,plain,
    ( product(product(c,c),bigC(b,b,product(a,c))) != product(c,bigC(b,b,product(a,c)))
    | product(product(c,product(c,b)),product(c,bigC(a,b,b))) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,bigC(a,b,b))),product(product(c,c),bigC(b,b,product(a,c)))) )],[refute_0_22396,refute_0_22397]) ).

cnf(refute_0_22399,plain,
    product(product(c,product(c,b)),product(c,bigC(a,b,b))) = product(c,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,c),bigC(b,b,product(a,c))),product(c,bigC(b,b,product(a,c)))) )],[refute_0_22395,refute_0_22398]) ).

cnf(refute_0_22400,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(difference(product(c,b),product(c,bigC(b,b,c))),c),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),product(c,bigC(b,b,c))),c))]]) ).

cnf(refute_0_22401,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),c) != product(difference(product(c,b),product(c,bigC(b,b,c))),c)
    | product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(product(c,product(c,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),c),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22402,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(product(c,product(c,b)),c) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),c),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) )],[refute_0_22400,refute_0_22401]) ).

cnf(refute_0_22403,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(product(c,product(c,b)),c),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,bigC(b,b,c))),product(c,product(c,b))) )],[refute_0_22351,refute_0_22402]) ).

cnf(refute_0_22404,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),c) != product(product(c,product(c,b)),c)
    | product(product(c,product(c,b)),c) != product(c,bigC(a,b,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),product(c,bigC(b,b,c))),c))),bind(Y,$fot(product(product(c,product(c,b)),c))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_22405,plain,
    ( product(product(c,product(c,b)),c) != product(c,bigC(a,b,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),c),product(product(c,product(c,b)),c)) )],[refute_0_22403,refute_0_22404]) ).

cnf(refute_0_22406,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),c) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),c),product(c,bigC(a,b,b))) )],[refute_0_14435,refute_0_22405]) ).

cnf(refute_0_22407,plain,
    product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),
    introduced(tautology,[refl,[$fot(product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)))]]) ).

cnf(refute_0_22408,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),c) != product(c,bigC(a,b,b))
    | product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_22409,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),c) != product(c,bigC(a,b,b))
    | product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) )],[refute_0_22407,refute_0_22408]) ).

cnf(refute_0_22410,plain,
    product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),c),product(c,bigC(a,b,b))) )],[refute_0_22406,refute_0_22409]) ).

cnf(refute_0_22411,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)))]]) ).

cnf(refute_0_22412,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22413,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) )],[refute_0_22411,refute_0_22412]) ).

cnf(refute_0_22414,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,bigC(b,b,c))),product(c,product(c,b))) )],[refute_0_22351,refute_0_22413]) ).

cnf(refute_0_22415,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(product(c,product(c,b)),product(c,bigC(a,b,b)))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)))),bind(Y,$fot(product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)))),bind(Z,$fot(product(product(c,product(c,b)),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_22416,plain,
    ( product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(product(c,product(c,b)),product(c,bigC(a,b,b)))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) )],[refute_0_22414,refute_0_22415]) ).

cnf(refute_0_22417,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(product(c,product(c,b)),product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(product(c,product(c,b)),product(c,bigC(a,b,b)))) )],[refute_0_22410,refute_0_22416]) ).

cnf(refute_0_22418,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(product(c,product(c,b)),product(c,bigC(a,b,b)))
    | product(product(c,product(c,b)),product(c,bigC(a,b,b))) != product(c,bigC(b,b,product(a,c)))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(c,bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)))),bind(Y,$fot(product(product(c,product(c,b)),product(c,bigC(a,b,b))))),bind(Z,$fot(product(c,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22419,plain,
    ( product(product(c,product(c,b)),product(c,bigC(a,b,b))) != product(c,bigC(b,b,product(a,c)))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(product(c,product(c,b)),product(c,bigC(a,b,b)))) )],[refute_0_22417,refute_0_22418]) ).

cnf(refute_0_22420,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) = product(c,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(c,bigC(a,b,b))),product(c,bigC(b,b,product(a,c)))) )],[refute_0_22399,refute_0_22419]) ).

cnf(refute_0_22421,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)) != product(c,bigC(b,b,product(a,c)))
    | product(product(bigC(a,b,b),a),b) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(product(bigC(a,b,b),a),b) = product(c,bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),a),b),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) ),[1],$fot(product(c,bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_22422,plain,
    ( product(product(bigC(a,b,b),a),b) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(product(bigC(a,b,b),a),b) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c)),product(c,bigC(b,b,product(a,c)))) )],[refute_0_22420,refute_0_22421]) ).

cnf(refute_0_22423,plain,
    ( difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))) != product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))
    | product(product(bigC(a,b,b),a),b) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),a),b),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) )],[refute_0_22391,refute_0_22422]) ).

cnf(refute_0_22424,plain,
    product(product(bigC(a,b,b),a),b) = product(c,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,b,product(a,b)),difference(product(c,b),product(c,bigC(b,b,c)))),difference(product(c,b),product(c,bigC(b,b,c)))),product(difference(product(c,b),product(c,bigC(b,b,c))),product(difference(product(c,b),product(c,bigC(b,b,c))),c))) )],[refute_0_22086,refute_0_22423]) ).

cnf(refute_0_22425,plain,
    difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))))]]) ).

cnf(refute_0_22426,plain,
    ( difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) != difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b)))
    | product(product(bigC(a,b,b),a),b) != product(c,bigC(b,b,product(a,c)))
    | difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b)))) ),[1,0],$fot(product(c,bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_22427,plain,
    ( product(product(bigC(a,b,b),a),b) != product(c,bigC(b,b,product(a,c)))
    | difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b)))) )],[refute_0_22425,refute_0_22426]) ).

cnf(refute_0_22428,plain,
    difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) = difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),a),b),product(c,bigC(b,b,product(a,c)))) )],[refute_0_22424,refute_0_22427]) ).

cnf(refute_0_22429,plain,
    ( difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) != difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b)))
    | difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) ),[0],$fot(difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))))]]) ).

cnf(refute_0_22430,plain,
    ( difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b)))) )],[refute_0_22428,refute_0_22429]) ).

cnf(refute_0_22431,plain,
    difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(a,b,b),a),b),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) )],[refute_0_22027,refute_0_22430]) ).

cnf(refute_0_22432,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | bigC(b,product(c,b),c) != bigC(b,c,product(c,b))
    | bigC(b,product(c,b),c) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,product(c,b),c))),bind(Y,$fot(bigC(b,c,product(c,b)))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_22433,plain,
    ( bigC(b,c,product(c,b)) != bigC(b,b,product(a,c))
    | bigC(b,product(c,b),c) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),c),bigC(b,c,product(c,b))) )],[refute_0_7925,refute_0_22432]) ).

cnf(refute_0_22434,plain,
    bigC(b,product(c,b),c) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,c,product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_16916,refute_0_22433]) ).

cnf(refute_0_22435,plain,
    ( bigC(b,product(c,b),c) != bigC(b,b,product(a,c))
    | product(bigC(b,b,c),product(c,b)) != bigC(b,product(c,b),c)
    | product(bigC(b,b,c),product(c,b)) = bigC(b,b,product(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,b)))),bind(Y,$fot(bigC(b,product(c,b),c))),bind(Z,$fot(bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_22436,plain,
    ( bigC(b,product(c,b),c) != bigC(b,b,product(a,c))
    | product(bigC(b,b,c),product(c,b)) = bigC(b,b,product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,b)),bigC(b,product(c,b),c)) )],[refute_0_7926,refute_0_22435]) ).

cnf(refute_0_22437,plain,
    product(bigC(b,b,c),product(c,b)) = bigC(b,b,product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,b),c),bigC(b,b,product(a,c))) )],[refute_0_22434,refute_0_22436]) ).

cnf(refute_0_22438,plain,
    product(c,product(bigC(b,b,c),product(c,b))) = product(c,product(bigC(b,b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(c,product(bigC(b,b,c),product(c,b))))]]) ).

cnf(refute_0_22439,plain,
    ( product(bigC(b,b,c),product(c,b)) != bigC(b,b,product(a,c))
    | product(c,product(bigC(b,b,c),product(c,b))) != product(c,product(bigC(b,b,c),product(c,b)))
    | product(c,product(bigC(b,b,c),product(c,b))) = product(c,bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(b,b,c),product(c,b))),product(c,product(bigC(b,b,c),product(c,b)))) ),[1,1],$fot(bigC(b,b,product(a,c)))]]) ).

cnf(refute_0_22440,plain,
    ( product(bigC(b,b,c),product(c,b)) != bigC(b,b,product(a,c))
    | product(c,product(bigC(b,b,c),product(c,b))) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,b,c),product(c,b))),product(c,product(bigC(b,b,c),product(c,b)))) )],[refute_0_22438,refute_0_22439]) ).

cnf(refute_0_22441,plain,
    product(c,product(bigC(b,b,c),product(c,b))) = product(c,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,b)),bigC(b,b,product(a,c))) )],[refute_0_22437,refute_0_22440]) ).

cnf(refute_0_22442,plain,
    product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(product(c,c),product(bigC(b,b,c),product(c,b))),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(bigC(b,b,c),product(c,b))))]]) ).

cnf(refute_0_22443,plain,
    ( product(c,c) != c
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) != product(product(c,c),product(bigC(b,b,c),product(c,b)))
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(c,product(bigC(b,b,c),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(product(c,c),product(bigC(b,b,c),product(c,b)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22444,plain,
    ( product(c,c) != c
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(c,product(bigC(b,b,c),product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(product(c,c),product(bigC(b,b,c),product(c,b)))) )],[refute_0_22442,refute_0_22443]) ).

cnf(refute_0_22445,plain,
    product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(c,product(bigC(b,b,c),product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_22444]) ).

cnf(refute_0_22446,plain,
    ( product(c,product(bigC(b,b,c),product(c,b))) != product(c,bigC(b,b,product(a,c)))
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) != product(c,product(bigC(b,b,c),product(c,b)))
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(c,bigC(b,b,product(a,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(bigC(b,b,c),product(c,b))))),bind(Y,$fot(product(c,product(bigC(b,b,c),product(c,b))))),bind(Z,$fot(product(c,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22447,plain,
    ( product(c,product(bigC(b,b,c),product(c,b))) != product(c,bigC(b,b,product(a,c)))
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(c,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(bigC(b,b,c),product(c,b)))) )],[refute_0_22445,refute_0_22446]) ).

cnf(refute_0_22448,plain,
    product(product(c,c),product(bigC(b,b,c),product(c,b))) = product(c,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,b,c),product(c,b))),product(c,bigC(b,b,product(a,c)))) )],[refute_0_22441,refute_0_22447]) ).

cnf(refute_0_22449,plain,
    difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))),
    introduced(tautology,[refl,[$fot(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))))]]) ).

cnf(refute_0_22450,plain,
    ( difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) != difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b)))
    | product(product(c,c),product(bigC(b,b,c),product(c,b))) != product(c,bigC(b,b,product(a,c)))
    | difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))),difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b)))) ),[1,0],$fot(product(c,bigC(b,b,product(a,c))))]]) ).

cnf(refute_0_22451,plain,
    ( product(product(c,c),product(bigC(b,b,c),product(c,b))) != product(c,bigC(b,b,product(a,c)))
    | difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))),difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b)))) )],[refute_0_22449,refute_0_22450]) ).

cnf(refute_0_22452,plain,
    difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,bigC(b,b,product(a,c)))) )],[refute_0_22448,refute_0_22451]) ).

cnf(refute_0_22453,plain,
    ( difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) != difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b)))
    | difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))))),bind(Y,$fot(difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,c,product(c,a)),b)))]]) ).

cnf(refute_0_22454,plain,
    ( difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))),difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b)))) )],[refute_0_22452,refute_0_22453]) ).

cnf(refute_0_22455,plain,
    difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(c,bigC(b,b,product(a,c))),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) )],[refute_0_22431,refute_0_22454]) ).

cnf(refute_0_22456,plain,
    difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(c)),bind(X_64,$fot(bigC(b,b,c))),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,b)))]]) ).

cnf(refute_0_22457,plain,
    ( difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b)))
    | difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))))),bind(Y,$fot(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))))),bind(Z,$fot(product(bigC(a,c,product(c,a)),b)))]]) ).

cnf(refute_0_22458,plain,
    ( difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))),difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b)))) )],[refute_0_22456,refute_0_22457]) ).

cnf(refute_0_22459,plain,
    difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(difference(product(product(c,c),product(bigC(b,b,c),product(c,b))),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) )],[refute_0_22455,refute_0_22458]) ).

cnf(refute_0_22460,plain,
    ( difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != product(bigC(a,c,product(c,a)),b)
    | difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))
    | product(bigC(a,c,product(c,a)),b) = product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))) ),[0],$fot(product(bigC(a,c,product(c,a)),b))]]) ).

cnf(refute_0_22461,plain,
    ( difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))
    | product(bigC(a,c,product(c,a)),b) = product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))),product(bigC(a,c,product(c,a)),b)) )],[refute_0_22459,refute_0_22460]) ).

cnf(refute_0_22462,plain,
    product(c,product(product(product(a,b),c),b)) = product(c,product(product(product(a,b),c),b)),
    introduced(tautology,[refl,[$fot(product(c,product(product(product(a,b),c),b)))]]) ).

cnf(refute_0_22463,plain,
    ( product(c,product(product(product(a,b),c),b)) != product(c,product(product(product(a,b),c),b))
    | product(product(product(a,b),c),b) != product(product(c,product(c,b)),b)
    | product(c,product(product(product(a,b),c),b)) = product(c,product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(a,b),c),b)),product(c,product(product(product(a,b),c),b))) ),[1,1],$fot(product(product(c,product(c,b)),b))]]) ).

cnf(refute_0_22464,plain,
    ( product(product(product(a,b),c),b) != product(product(c,product(c,b)),b)
    | product(c,product(product(product(a,b),c),b)) = product(c,product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(a,b),c),b)),product(c,product(product(product(a,b),c),b))) )],[refute_0_22462,refute_0_22463]) ).

cnf(refute_0_22465,plain,
    product(c,product(product(product(a,b),c),b)) = product(c,product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),b),product(product(c,product(c,b)),b)) )],[refute_0_12918,refute_0_22464]) ).

cnf(refute_0_22466,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(product(a,b),X_22,product(c,b)) = product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) ),[0,0],$fot(product(a,b))]]) ).

cnf(refute_0_22467,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(product(a,b),X_22,product(c,b)) = product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,product(c,b))),product(a,b)) )],[refute_0_7820,refute_0_22466]) ).

cnf(refute_0_22468,plain,
    bigC(product(a,b),X_22,product(c,b)) = product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),X_22,product(c,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_12721,refute_0_22467]) ).

cnf(refute_0_22469,plain,
    ( bigC(product(a,b),X_22,product(c,b)) != product(bigC(a,b,c),product(X_22,b))
    | product(bigC(a,b,c),product(X_22,b)) != product(c,product(X_22,b))
    | bigC(product(a,b),X_22,product(c,b)) = product(c,product(X_22,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(a,b),X_22,product(c,b)))),bind(Y,$fot(product(bigC(a,b,c),product(X_22,b)))),bind(Z,$fot(product(c,product(X_22,b))))]]) ).

cnf(refute_0_22470,plain,
    ( product(bigC(a,b,c),product(X_22,b)) != product(c,product(X_22,b))
    | bigC(product(a,b),X_22,product(c,b)) = product(c,product(X_22,b)) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,product(c,b)),product(bigC(a,b,c),product(X_22,b))) )],[refute_0_12725,refute_0_22469]) ).

cnf(refute_0_22471,plain,
    bigC(product(a,b),X_22,product(c,b)) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,c),product(X_22,b)),product(c,product(X_22,b))) )],[refute_0_12762,refute_0_22470]) ).

cnf(refute_0_22472,plain,
    ( bigC(product(a,b),X_22,product(c,b)) != product(c,product(X_22,b))
    | bigC(product(a,b),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | product(c,product(X_22,b)) = product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),X_22,product(c,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) ),[0],$fot(product(c,product(X_22,b)))]]) ).

cnf(refute_0_22473,plain,
    ( bigC(product(a,b),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | product(c,product(X_22,b)) = product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,product(c,b)),product(c,product(X_22,b))) )],[refute_0_22471,refute_0_22472]) ).

cnf(refute_0_22474,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) = bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22))]]) ).

cnf(refute_0_22475,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) != bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22)
    | difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) = bigC(product(a,b),product(c,b),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22),bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22)) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_22476,plain,
    ( difference(product(c,b),product(c,product(c,b))) != product(a,b)
    | bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) = bigC(product(a,b),product(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22),bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22)) )],[refute_0_22474,refute_0_22475]) ).

cnf(refute_0_22477,plain,
    bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) = bigC(product(a,b),product(c,b),X_22),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,product(c,b))),product(a,b)) )],[refute_0_7820,refute_0_22476]) ).

cnf(refute_0_22478,plain,
    product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(product(c,product(c,b)))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_22479,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) != bigC(product(a,b),product(c,b),X_22)
    | product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) != bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22)
    | product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(product(a,b),product(c,b),X_22) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))))),bind(Y,$fot(bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22))),bind(Z,$fot(bigC(product(a,b),product(c,b),X_22)))]]) ).

cnf(refute_0_22480,plain,
    ( bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22) != bigC(product(a,b),product(c,b),X_22)
    | product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(product(a,b),product(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))),bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22)) )],[refute_0_22478,refute_0_22479]) ).

cnf(refute_0_22481,plain,
    product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(product(a,b),product(c,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(difference(product(c,b),product(c,product(c,b))),product(c,b),X_22),bigC(product(a,b),product(c,b),X_22)) )],[refute_0_22477,refute_0_22480]) ).

cnf(refute_0_22482,plain,
    ( product(c,product(X_22,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))) != bigC(product(a,b),product(c,b),X_22)
    | product(c,product(X_22,b)) = bigC(product(a,b),product(c,b),X_22) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_22,b)),bigC(product(a,b),product(c,b),X_22)) ),[0],$fot(product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))))]]) ).

cnf(refute_0_22483,plain,
    ( product(c,product(X_22,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | product(c,product(X_22,b)) = bigC(product(a,b),product(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b))),bigC(product(a,b),product(c,b),X_22)) )],[refute_0_22481,refute_0_22482]) ).

cnf(refute_0_22484,plain,
    ( bigC(product(a,b),X_22,product(c,b)) != product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | product(c,product(X_22,b)) = bigC(product(a,b),product(c,b),X_22) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_22,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_22473,refute_0_22483]) ).

cnf(refute_0_22485,plain,
    product(c,product(X_22,b)) = bigC(product(a,b),product(c,b),X_22),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),X_22,product(c,b)),product(product(difference(product(c,b),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_22468,refute_0_22484]) ).

cnf(refute_0_22486,plain,
    ( product(c,product(X_22,b)) != bigC(product(a,b),product(c,b),X_22)
    | bigC(product(a,b),product(c,b),X_22) = product(c,product(X_22,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(X_22,b)))),bind(Y,$fot(bigC(product(a,b),product(c,b),X_22)))]]) ).

cnf(refute_0_22487,plain,
    bigC(product(a,b),product(c,b),X_22) = product(c,product(X_22,b)),
    inference(resolve,[$cnf( $equal(product(c,product(X_22,b)),bigC(product(a,b),product(c,b),X_22)) )],[refute_0_22485,refute_0_22486]) ).

cnf(refute_0_22488,plain,
    bigC(product(a,b),product(c,b),product(product(a,b),c)) = product(c,product(product(product(a,b),c),b)),
    inference(subst,[],[refute_0_22487:[bind(X_22,$fot(product(product(a,b),c)))]]) ).

cnf(refute_0_22489,plain,
    product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) = bigC(product(a,b),product(c,b),product(product(a,b),c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(product(c,b))),bind(X_63,$fot(product(a,b))),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_22490,plain,
    ( bigC(product(a,b),product(c,b),product(product(a,b),c)) != product(c,product(product(product(a,b),c),b))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) != bigC(product(a,b),product(c,b),product(product(a,b),c))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) = product(c,product(product(product(a,b),c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))))),bind(Y,$fot(bigC(product(a,b),product(c,b),product(product(a,b),c)))),bind(Z,$fot(product(c,product(product(product(a,b),c),b))))]]) ).

cnf(refute_0_22491,plain,
    ( bigC(product(a,b),product(c,b),product(product(a,b),c)) != product(c,product(product(product(a,b),c),b))
    | product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) = product(c,product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))),bigC(product(a,b),product(c,b),product(product(a,b),c))) )],[refute_0_22489,refute_0_22490]) ).

cnf(refute_0_22492,plain,
    product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) = product(c,product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),product(c,b),product(product(a,b),c)),product(c,product(product(product(a,b),c),b))) )],[refute_0_22488,refute_0_22491]) ).

cnf(refute_0_22493,plain,
    product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(difference(product(c,b),product(c,bigC(b,b,c)))))]]) ).

cnf(refute_0_22494,plain,
    ( product(c,difference(product(c,b),product(c,bigC(b,b,c)))) != bigC(a,b,product(a,b))
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) != product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),product(B,D))
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),product(B,D))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_22495,plain,
    ( product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) != product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),product(B,D))
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),bigC(a,b,product(a,b))) )],[refute_0_22083,refute_0_22494]) ).

cnf(refute_0_22496,plain,
    product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(bigC(a,b,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(product(c,difference(product(c,b),product(c,bigC(b,b,c)))),product(B,D))) )],[refute_0_22493,refute_0_22495]) ).

cnf(refute_0_22497,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),D) = product(difference(product(c,b),product(c,bigC(b,b,c))),D),
    introduced(tautology,[refl,[$fot(product(difference(product(c,b),product(c,bigC(b,b,c))),D))]]) ).

cnf(refute_0_22498,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),D) != product(difference(product(c,b),product(c,bigC(b,b,c))),D)
    | product(difference(product(c,b),product(c,bigC(b,b,c))),D) = product(product(c,product(c,b)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),D),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) ),[1,0],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_22499,plain,
    ( difference(product(c,b),product(c,bigC(b,b,c))) != product(c,product(c,b))
    | product(difference(product(c,b),product(c,bigC(b,b,c))),D) = product(product(c,product(c,b)),D) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),D),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) )],[refute_0_22497,refute_0_22498]) ).

cnf(refute_0_22500,plain,
    product(difference(product(c,b),product(c,bigC(b,b,c))),D) = product(product(c,product(c,b)),D),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(c,bigC(b,b,c))),product(c,product(c,b))) )],[refute_0_22351,refute_0_22499]) ).

cnf(refute_0_22501,plain,
    product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),
    introduced(tautology,[refl,[$fot(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)))]]) ).

cnf(refute_0_22502,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),D) != product(product(c,product(c,b)),D)
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) != product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D))
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(product(c,B),product(product(c,product(c,b)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D))) ),[1,1],$fot(product(product(c,product(c,b)),D))]]) ).

cnf(refute_0_22503,plain,
    ( product(difference(product(c,b),product(c,bigC(b,b,c))),D) != product(product(c,product(c,b)),D)
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(product(c,B),product(product(c,product(c,b)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D))) )],[refute_0_22501,refute_0_22502]) ).

cnf(refute_0_22504,plain,
    product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) = product(product(c,B),product(product(c,product(c,b)),D)),
    inference(resolve,[$cnf( $equal(product(difference(product(c,b),product(c,bigC(b,b,c))),D),product(product(c,product(c,b)),D)) )],[refute_0_22500,refute_0_22503]) ).

cnf(refute_0_22505,plain,
    ( product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) != product(bigC(a,b,product(a,b)),product(B,D))
    | product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) != product(product(c,B),product(product(c,product(c,b)),D))
    | product(product(c,B),product(product(c,product(c,b)),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(bigC(a,b,product(a,b)),product(B,D))) ),[0],$fot(product(product(c,B),product(product(c,product(c,b)),D)))]]) ).

cnf(refute_0_22506,plain,
    ( product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)) != product(bigC(a,b,product(a,b)),product(B,D))
    | product(product(c,B),product(product(c,product(c,b)),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(product(c,B),product(product(c,product(c,b)),D))) )],[refute_0_22504,refute_0_22505]) ).

cnf(refute_0_22507,plain,
    product(product(c,B),product(product(c,product(c,b)),D)) = product(bigC(a,b,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(difference(product(c,b),product(c,bigC(b,b,c))),D)),product(bigC(a,b,product(a,b)),product(B,D))) )],[refute_0_22496,refute_0_22506]) ).

cnf(refute_0_22508,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))),
    inference(subst,[],[refute_0_22507:[bind(B,$fot(product(c,b))),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_22509,plain,
    ( product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) != product(c,product(product(product(a,b),c),b))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) != product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(c,product(product(product(a,b),c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))))),bind(Z,$fot(product(c,product(product(product(a,b),c),b))))]]) ).

cnf(refute_0_22510,plain,
    ( product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))) != product(c,product(product(product(a,b),c),b))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(c,product(product(product(a,b),c),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))),product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b)))) )],[refute_0_22508,refute_0_22509]) ).

cnf(refute_0_22511,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(c,product(product(product(a,b),c),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(product(c,b),product(c,b))),product(c,product(product(product(a,b),c),b))) )],[refute_0_22492,refute_0_22510]) ).

cnf(refute_0_22512,plain,
    ( product(c,product(product(product(a,b),c),b)) != product(c,product(product(c,product(c,b)),b))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) != product(c,product(product(product(a,b),c),b))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(c,product(product(c,product(c,b)),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))))),bind(Y,$fot(product(c,product(product(product(a,b),c),b)))),bind(Z,$fot(product(c,product(product(c,product(c,b)),b))))]]) ).

cnf(refute_0_22513,plain,
    ( product(c,product(product(product(a,b),c),b)) != product(c,product(product(c,product(c,b)),b))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(c,product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))),product(c,product(product(product(a,b),c),b))) )],[refute_0_22511,refute_0_22512]) ).

cnf(refute_0_22514,plain,
    product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) = product(c,product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(a,b),c),b)),product(c,product(product(c,product(c,b)),b))) )],[refute_0_22465,refute_0_22513]) ).

cnf(refute_0_22515,plain,
    ( product(bigC(a,c,product(c,a)),b) != product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))
    | product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))) != product(c,product(product(c,product(c,b)),b))
    | product(bigC(a,c,product(c,a)),b) = product(c,product(product(c,product(c,b)),b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(bigC(a,c,product(c,a)),b),product(c,product(product(c,product(c,b)),b))) ),[0],$fot(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))))]]) ).

cnf(refute_0_22516,plain,
    ( product(bigC(a,c,product(c,a)),b) != product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))
    | product(bigC(a,c,product(c,a)),b) = product(c,product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b))),product(c,product(product(c,product(c,b)),b))) )],[refute_0_22514,refute_0_22515]) ).

cnf(refute_0_22517,plain,
    ( difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))) != product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))
    | product(bigC(a,c,product(c,a)),b) = product(c,product(product(c,product(c,b)),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),b),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))) )],[refute_0_22461,refute_0_22516]) ).

cnf(refute_0_22518,plain,
    product(bigC(a,c,product(c,a)),b) = product(c,product(product(c,product(c,b)),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,bigC(b,b,c)),product(c,product(c,b))),product(c,product(c,b))),product(product(c,product(c,b)),product(product(c,product(c,b)),product(c,b)))) )],[refute_0_21527,refute_0_22517]) ).

cnf(refute_0_22519,plain,
    ( product(bigC(a,c,product(c,a)),b) != product(c,product(product(c,product(c,b)),b))
    | product(c,product(product(c,product(c,b)),b)) = product(bigC(a,c,product(c,a)),b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(bigC(a,c,product(c,a)),b))),bind(Y,$fot(product(c,product(product(c,product(c,b)),b))))]]) ).

cnf(refute_0_22520,plain,
    product(c,product(product(c,product(c,b)),b)) = product(bigC(a,c,product(c,a)),b),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),b),product(c,product(product(c,product(c,b)),b))) )],[refute_0_22518,refute_0_22519]) ).

cnf(refute_0_22521,plain,
    ( product(c,product(product(c,product(c,b)),b)) != product(bigC(a,c,product(c,a)),b)
    | quotient(c,product(c,product(c,product(product(c,product(c,b)),b)))) != product(product(product(product(c,product(c,b)),b),c),c)
    | quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) = product(product(product(product(c,product(c,b)),b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(c,product(product(c,product(c,b)),b)))),product(product(product(product(c,product(c,b)),b),c),c)) ),[0,1,1],$fot(product(bigC(a,c,product(c,a)),b))]]) ).

cnf(refute_0_22522,plain,
    ( quotient(c,product(c,product(c,product(product(c,product(c,b)),b)))) != product(product(product(product(c,product(c,b)),b),c),c)
    | quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) = product(product(product(product(c,product(c,b)),b),c),c) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,product(c,b)),b)),product(bigC(a,c,product(c,a)),b)) )],[refute_0_22520,refute_0_22521]) ).

cnf(refute_0_22523,plain,
    quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) = product(product(product(product(c,product(c,b)),b),c),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(c,product(product(c,product(c,b)),b)))),product(product(product(product(c,product(c,b)),b),c),c)) )],[refute_0_21502,refute_0_22522]) ).

cnf(refute_0_22524,plain,
    bigC(c,bigC(b,a,b),X_23) = bigC(c,bigC(b,a,b),X_23),
    introduced(tautology,[refl,[$fot(bigC(c,bigC(b,a,b),X_23))]]) ).

cnf(refute_0_22525,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,bigC(b,a,b),X_23) != bigC(c,bigC(b,a,b),X_23)
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,bigC(a,b,b),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,bigC(b,a,b),X_23)) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_22526,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,bigC(b,a,b),X_23) = bigC(c,bigC(a,b,b),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,bigC(b,a,b),X_23)) )],[refute_0_22524,refute_0_22525]) ).

cnf(refute_0_22527,plain,
    bigC(c,bigC(b,a,b),X_23) = bigC(c,bigC(a,b,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_22526]) ).

cnf(refute_0_22528,plain,
    ( bigC(c,bigC(b,a,b),X_23) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,bigC(b,a,b),X_23) != bigC(c,bigC(a,b,b),X_23)
    | bigC(c,bigC(a,b,b),X_23) = bigC(c,X_23,bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,X_23,bigC(b,a,b))) ),[0],$fot(bigC(c,bigC(a,b,b),X_23))]]) ).

cnf(refute_0_22529,plain,
    ( bigC(c,bigC(b,a,b),X_23) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,bigC(a,b,b),X_23) = bigC(c,X_23,bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,bigC(a,b,b),X_23)) )],[refute_0_22527,refute_0_22528]) ).

cnf(refute_0_22530,plain,
    bigC(c,X_23,bigC(b,a,b)) = bigC(c,X_23,bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(bigC(c,X_23,bigC(b,a,b)))]]) ).

cnf(refute_0_22531,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,X_23,bigC(b,a,b)) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,X_23,bigC(b,a,b)) = bigC(c,X_23,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_23,bigC(b,a,b)),bigC(c,X_23,bigC(b,a,b))) ),[1,2],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_22532,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | bigC(c,X_23,bigC(b,a,b)) = bigC(c,X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,bigC(b,a,b)),bigC(c,X_23,bigC(b,a,b))) )],[refute_0_22530,refute_0_22531]) ).

cnf(refute_0_22533,plain,
    bigC(c,X_23,bigC(b,a,b)) = bigC(c,X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_22532]) ).

cnf(refute_0_22534,plain,
    ( bigC(c,X_23,bigC(b,a,b)) != bigC(c,X_23,bigC(a,b,b))
    | bigC(c,bigC(a,b,b),X_23) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,bigC(a,b,b),X_23) = bigC(c,X_23,bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(a,b,b),X_23),bigC(c,X_23,bigC(b,a,b))) ),[1],$fot(bigC(c,X_23,bigC(a,b,b)))]]) ).

cnf(refute_0_22535,plain,
    ( bigC(c,bigC(a,b,b),X_23) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,bigC(a,b,b),X_23) = bigC(c,X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_23,bigC(b,a,b)),bigC(c,X_23,bigC(a,b,b))) )],[refute_0_22533,refute_0_22534]) ).

cnf(refute_0_22536,plain,
    ( bigC(c,bigC(b,a,b),X_23) != bigC(c,X_23,bigC(b,a,b))
    | bigC(c,bigC(a,b,b),X_23) = bigC(c,X_23,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,b,b),X_23),bigC(c,X_23,bigC(b,a,b))) )],[refute_0_22529,refute_0_22535]) ).

cnf(refute_0_22537,plain,
    bigC(c,bigC(a,b,b),X_23) = bigC(c,X_23,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,X_23,bigC(b,a,b))) )],[refute_0_1827,refute_0_22536]) ).

cnf(refute_0_22538,plain,
    bigC(c,bigC(a,b,b),b) = bigC(c,b,bigC(a,b,b)),
    inference(subst,[],[refute_0_22537:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_22539,plain,
    ( bigC(c,bigC(c,b,c),X_23) != bigC(c,bigC(b,a,b),X_23)
    | bigC(c,bigC(c,b,c),X_23) != product(product(product(c,product(c,b)),X_23),c)
    | bigC(c,bigC(b,a,b),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),product(product(product(c,product(c,b)),X_23),c)) ),[0],$fot(bigC(c,bigC(b,a,b),X_23))]]) ).

cnf(refute_0_22540,plain,
    ( bigC(c,bigC(c,b,c),X_23) != product(product(product(c,product(c,b)),X_23),c)
    | bigC(c,bigC(b,a,b),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),bigC(c,bigC(b,a,b),X_23)) )],[refute_0_1817,refute_0_22539]) ).

cnf(refute_0_22541,plain,
    bigC(c,bigC(b,a,b),X_23) = product(product(product(c,product(c,b)),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(c,b,c),X_23),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_1791,refute_0_22540]) ).

cnf(refute_0_22542,plain,
    ( bigC(c,bigC(b,a,b),X_23) != bigC(c,bigC(a,b,b),X_23)
    | bigC(c,bigC(b,a,b),X_23) != product(product(product(c,product(c,b)),X_23),c)
    | bigC(c,bigC(a,b,b),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),product(product(product(c,product(c,b)),X_23),c)) ),[0],$fot(bigC(c,bigC(a,b,b),X_23))]]) ).

cnf(refute_0_22543,plain,
    ( bigC(c,bigC(b,a,b),X_23) != product(product(product(c,product(c,b)),X_23),c)
    | bigC(c,bigC(a,b,b),X_23) = product(product(product(c,product(c,b)),X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),bigC(c,bigC(a,b,b),X_23)) )],[refute_0_22527,refute_0_22542]) ).

cnf(refute_0_22544,plain,
    bigC(c,bigC(a,b,b),X_23) = product(product(product(c,product(c,b)),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(b,a,b),X_23),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_22541,refute_0_22543]) ).

cnf(refute_0_22545,plain,
    ( bigC(c,bigC(a,b,b),X_23) != product(product(product(c,product(c,b)),X_23),c)
    | product(product(product(c,product(c,b)),X_23),c) = bigC(c,bigC(a,b,b),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,bigC(a,b,b),X_23))),bind(Y,$fot(product(product(product(c,product(c,b)),X_23),c)))]]) ).

cnf(refute_0_22546,plain,
    product(product(product(c,product(c,b)),X_23),c) = bigC(c,bigC(a,b,b),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,b,b),X_23),product(product(product(c,product(c,b)),X_23),c)) )],[refute_0_22544,refute_0_22545]) ).

cnf(refute_0_22547,plain,
    product(product(product(c,product(c,b)),b),c) = bigC(c,bigC(a,b,b),b),
    inference(subst,[],[refute_0_22546:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_22548,plain,
    ( bigC(c,bigC(a,b,b),b) != bigC(c,b,bigC(a,b,b))
    | product(product(product(c,product(c,b)),b),c) != bigC(c,bigC(a,b,b),b)
    | product(product(product(c,product(c,b)),b),c) = bigC(c,b,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(c,product(c,b)),b),c))),bind(Y,$fot(bigC(c,bigC(a,b,b),b))),bind(Z,$fot(bigC(c,b,bigC(a,b,b))))]]) ).

cnf(refute_0_22549,plain,
    ( bigC(c,bigC(a,b,b),b) != bigC(c,b,bigC(a,b,b))
    | product(product(product(c,product(c,b)),b),c) = bigC(c,b,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),b),c),bigC(c,bigC(a,b,b),b)) )],[refute_0_22547,refute_0_22548]) ).

cnf(refute_0_22550,plain,
    product(product(product(c,product(c,b)),b),c) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(a,b,b),b),bigC(c,b,bigC(a,b,b))) )],[refute_0_22538,refute_0_22549]) ).

cnf(refute_0_22551,plain,
    product(product(product(product(c,product(c,b)),b),c),c) = product(product(product(product(c,product(c,b)),b),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(product(c,product(c,b)),b),c),c))]]) ).

cnf(refute_0_22552,plain,
    ( product(product(product(c,product(c,b)),b),c) != bigC(c,b,bigC(a,b,b))
    | product(product(product(product(c,product(c,b)),b),c),c) != product(product(product(product(c,product(c,b)),b),c),c)
    | product(product(product(product(c,product(c,b)),b),c),c) = product(bigC(c,b,bigC(a,b,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(c,product(c,b)),b),c),c),product(product(product(product(c,product(c,b)),b),c),c)) ),[1,0],$fot(bigC(c,b,bigC(a,b,b)))]]) ).

cnf(refute_0_22553,plain,
    ( product(product(product(c,product(c,b)),b),c) != bigC(c,b,bigC(a,b,b))
    | product(product(product(product(c,product(c,b)),b),c),c) = product(bigC(c,b,bigC(a,b,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,b)),b),c),c),product(product(product(product(c,product(c,b)),b),c),c)) )],[refute_0_22551,refute_0_22552]) ).

cnf(refute_0_22554,plain,
    product(product(product(product(c,product(c,b)),b),c),c) = product(bigC(c,b,bigC(a,b,b)),c),
    inference(resolve,[$cnf( $equal(product(product(product(c,product(c,b)),b),c),bigC(c,b,bigC(a,b,b))) )],[refute_0_22550,refute_0_22553]) ).

cnf(refute_0_22555,plain,
    ( product(product(product(product(c,product(c,b)),b),c),c) != product(bigC(c,b,bigC(a,b,b)),c)
    | quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) != product(product(product(product(c,product(c,b)),b),c),c)
    | quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) = product(bigC(c,b,bigC(a,b,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),product(product(product(product(c,product(c,b)),b),c),c)) ),[1],$fot(product(bigC(c,b,bigC(a,b,b)),c))]]) ).

cnf(refute_0_22556,plain,
    ( quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) != product(product(product(product(c,product(c,b)),b),c),c)
    | quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) = product(bigC(c,b,bigC(a,b,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,product(c,b)),b),c),c),product(bigC(c,b,bigC(a,b,b)),c)) )],[refute_0_22554,refute_0_22555]) ).

cnf(refute_0_22557,plain,
    quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) = product(bigC(c,b,bigC(a,b,b)),c),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),product(product(product(product(c,product(c,b)),b),c),c)) )],[refute_0_22523,refute_0_22556]) ).

cnf(refute_0_22558,plain,
    ( quotient(c,product(c,product(bigC(a,c,product(c,a)),b))) != product(bigC(c,b,bigC(a,b,b)),c)
    | quotient(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),c) != difference(c,product(product(bigC(a,c,product(c,a)),b),c))
    | quotient(product(bigC(c,b,bigC(a,b,b)),c),c) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),c),difference(c,product(product(bigC(a,c,product(c,a)),b),c))) ),[0,0],$fot(product(bigC(c,b,bigC(a,b,b)),c))]]) ).

cnf(refute_0_22559,plain,
    ( quotient(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),c) != difference(c,product(product(bigC(a,c,product(c,a)),b),c))
    | quotient(product(bigC(c,b,bigC(a,b,b)),c),c) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),product(bigC(c,b,bigC(a,b,b)),c)) )],[refute_0_22557,refute_0_22558]) ).

cnf(refute_0_22560,plain,
    quotient(product(bigC(c,b,bigC(a,b,b)),c),c) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)),
    inference(resolve,[$cnf( $equal(quotient(quotient(c,product(c,product(bigC(a,c,product(c,a)),b))),c),difference(c,product(product(bigC(a,c,product(c,a)),b),c))) )],[refute_0_21501,refute_0_22559]) ).

cnf(refute_0_22561,plain,
    quotient(product(bigC(c,b,bigC(a,b,b)),c),c) = bigC(c,b,bigC(a,b,b)),
    inference(subst,[],[sos03:[bind(A,$fot(bigC(c,b,bigC(a,b,b)))),bind(B,$fot(c))]]) ).

cnf(refute_0_22562,plain,
    ( quotient(product(bigC(c,b,bigC(a,b,b)),c),c) != bigC(c,b,bigC(a,b,b))
    | quotient(product(bigC(c,b,bigC(a,b,b)),c),c) != difference(c,product(product(bigC(a,c,product(c,a)),b),c))
    | bigC(c,b,bigC(a,b,b)) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(bigC(c,b,bigC(a,b,b)),c),c),difference(c,product(product(bigC(a,c,product(c,a)),b),c))) ),[0],$fot(bigC(c,b,bigC(a,b,b)))]]) ).

cnf(refute_0_22563,plain,
    ( quotient(product(bigC(c,b,bigC(a,b,b)),c),c) != difference(c,product(product(bigC(a,c,product(c,a)),b),c))
    | bigC(c,b,bigC(a,b,b)) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,bigC(a,b,b)),c),c),bigC(c,b,bigC(a,b,b))) )],[refute_0_22561,refute_0_22562]) ).

cnf(refute_0_22564,plain,
    bigC(c,b,bigC(a,b,b)) = difference(c,product(product(bigC(a,c,product(c,a)),b),c)),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(c,b,bigC(a,b,b)),c),c),difference(c,product(product(bigC(a,c,product(c,a)),b),c))) )],[refute_0_22560,refute_0_22563]) ).

cnf(refute_0_22565,plain,
    ( bigC(c,b,bigC(a,b,b)) != difference(c,product(product(bigC(a,c,product(c,a)),b),c))
    | difference(c,product(product(bigC(a,c,product(c,a)),b),c)) = bigC(c,b,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,b,bigC(a,b,b)))),bind(Y,$fot(difference(c,product(product(bigC(a,c,product(c,a)),b),c))))]]) ).

cnf(refute_0_22566,plain,
    difference(c,product(product(bigC(a,c,product(c,a)),b),c)) = bigC(c,b,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(a,b,b)),difference(c,product(product(bigC(a,c,product(c,a)),b),c))) )],[refute_0_22564,refute_0_22565]) ).

cnf(refute_0_22567,plain,
    ( difference(c,product(product(bigC(a,c,product(c,a)),b),c)) != bigC(c,b,bigC(a,b,b))
    | product(c,difference(c,product(product(bigC(a,c,product(c,a)),b),c))) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(c,bigC(c,b,bigC(a,b,b))) = product(product(bigC(a,c,product(c,a)),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,difference(c,product(product(bigC(a,c,product(c,a)),b),c))),product(product(bigC(a,c,product(c,a)),b),c)) ),[0,1],$fot(bigC(c,b,bigC(a,b,b)))]]) ).

cnf(refute_0_22568,plain,
    ( product(c,difference(c,product(product(bigC(a,c,product(c,a)),b),c))) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(c,bigC(c,b,bigC(a,b,b))) = product(product(bigC(a,c,product(c,a)),b),c) ),
    inference(resolve,[$cnf( $equal(difference(c,product(product(bigC(a,c,product(c,a)),b),c)),bigC(c,b,bigC(a,b,b))) )],[refute_0_22566,refute_0_22567]) ).

cnf(refute_0_22569,plain,
    product(c,bigC(c,b,bigC(a,b,b))) = product(product(bigC(a,c,product(c,a)),b),c),
    inference(resolve,[$cnf( $equal(product(c,difference(c,product(product(bigC(a,c,product(c,a)),b),c))),product(product(bigC(a,c,product(c,a)),b),c)) )],[refute_0_21500,refute_0_22568]) ).

cnf(refute_0_22570,plain,
    product(c,bigC(c,b,bigC(a,b,b))) = product(c,bigC(c,b,bigC(a,b,b))),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,b,bigC(a,b,b))))]]) ).

cnf(refute_0_22571,plain,
    ( bigC(c,b,bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | product(c,bigC(c,b,bigC(a,b,b))) != product(c,bigC(c,b,bigC(a,b,b)))
    | product(c,bigC(c,b,bigC(a,b,b))) = product(c,bigC(b,c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,b,bigC(a,b,b))),product(c,bigC(c,b,bigC(a,b,b)))) ),[1,1],$fot(bigC(b,c,bigC(a,b,b)))]]) ).

cnf(refute_0_22572,plain,
    ( bigC(c,b,bigC(a,b,b)) != bigC(b,c,bigC(a,b,b))
    | product(c,bigC(c,b,bigC(a,b,b))) = product(c,bigC(b,c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,bigC(a,b,b))),product(c,bigC(c,b,bigC(a,b,b)))) )],[refute_0_22570,refute_0_22571]) ).

cnf(refute_0_22573,plain,
    product(c,bigC(c,b,bigC(a,b,b))) = product(c,bigC(b,c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(c,b,bigC(a,b,b)),bigC(b,c,bigC(a,b,b))) )],[refute_0_20598,refute_0_22572]) ).

cnf(refute_0_22574,plain,
    ( product(c,bigC(c,b,bigC(a,b,b))) != product(c,bigC(b,c,bigC(a,b,b)))
    | product(c,bigC(c,b,bigC(a,b,b))) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(c,bigC(b,c,bigC(a,b,b))) = product(product(bigC(a,c,product(c,a)),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,b,bigC(a,b,b))),product(product(bigC(a,c,product(c,a)),b),c)) ),[0],$fot(product(c,bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_22575,plain,
    ( product(c,bigC(c,b,bigC(a,b,b))) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(c,bigC(b,c,bigC(a,b,b))) = product(product(bigC(a,c,product(c,a)),b),c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,bigC(a,b,b))),product(c,bigC(b,c,bigC(a,b,b)))) )],[refute_0_22573,refute_0_22574]) ).

cnf(refute_0_22576,plain,
    product(c,bigC(b,c,bigC(a,b,b))) = product(product(bigC(a,c,product(c,a)),b),c),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,bigC(a,b,b))),product(product(bigC(a,c,product(c,a)),b),c)) )],[refute_0_22569,refute_0_22575]) ).

cnf(refute_0_22577,plain,
    bigC(c,product(a,b),quotient(a,c)) = product(product(c,product(c,a)),product(quotient(a,c),b)),
    inference(subst,[],[refute_0_12545:[bind(X_22,$fot(quotient(a,c)))]]) ).

cnf(refute_0_22578,plain,
    product(quotient(product(a,c),b),b) = product(a,c),
    inference(subst,[],[sos04:[bind(A,$fot(product(a,c))),bind(B,$fot(b))]]) ).

cnf(refute_0_22579,plain,
    quotient(product(quotient(product(a,c),b),a),a) = quotient(product(a,c),b),
    inference(subst,[],[sos03:[bind(A,$fot(quotient(product(a,c),b))),bind(B,$fot(a))]]) ).

cnf(refute_0_22580,plain,
    difference(product(a,b),bigC(a,b,quotient(product(a,c),b))) = product(quotient(product(a,c),b),a),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_23,$fot(quotient(product(a,c),b)))]]) ).

cnf(refute_0_22581,plain,
    bigC(b,a,quotient(product(a,c),b)) = product(product(b,a),product(a,c)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(a,c))),bind(X_21,$fot(b)),bind(X_22,$fot(a))]]) ).

cnf(refute_0_22582,plain,
    ( bigC(b,a,quotient(product(a,c),b)) != product(product(b,a),product(a,c))
    | product(product(b,a),product(a,c)) != product(c,a)
    | bigC(b,a,quotient(product(a,c),b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(b,a,quotient(product(a,c),b)),product(c,a)) ),[0],$fot(product(product(b,a),product(a,c)))]]) ).

cnf(refute_0_22583,plain,
    ( bigC(b,a,quotient(product(a,c),b)) != product(product(b,a),product(a,c))
    | bigC(b,a,quotient(product(a,c),b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(b,a),product(a,c)),product(c,a)) )],[refute_0_3823,refute_0_22582]) ).

cnf(refute_0_22584,plain,
    bigC(b,a,quotient(product(a,c),b)) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(b,a,quotient(product(a,c),b)),product(product(b,a),product(a,c))) )],[refute_0_22581,refute_0_22583]) ).

cnf(refute_0_22585,plain,
    bigC(a,quotient(product(a,c),b),b) = bigC(a,b,quotient(product(a,c),b)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(quotient(product(a,c),b)))]]) ).

cnf(refute_0_22586,plain,
    bigC(b,a,quotient(product(a,c),b)) = bigC(a,quotient(product(a,c),b),b),
    inference(subst,[],[refute_0_15111:[bind(X_23,$fot(quotient(product(a,c),b)))]]) ).

cnf(refute_0_22587,plain,
    ( bigC(a,quotient(product(a,c),b),b) != bigC(a,b,quotient(product(a,c),b))
    | bigC(b,a,quotient(product(a,c),b)) != bigC(a,quotient(product(a,c),b),b)
    | bigC(b,a,quotient(product(a,c),b)) = bigC(a,b,quotient(product(a,c),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(b,a,quotient(product(a,c),b)))),bind(Y,$fot(bigC(a,quotient(product(a,c),b),b))),bind(Z,$fot(bigC(a,b,quotient(product(a,c),b))))]]) ).

cnf(refute_0_22588,plain,
    ( bigC(a,quotient(product(a,c),b),b) != bigC(a,b,quotient(product(a,c),b))
    | bigC(b,a,quotient(product(a,c),b)) = bigC(a,b,quotient(product(a,c),b)) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,quotient(product(a,c),b)),bigC(a,quotient(product(a,c),b),b)) )],[refute_0_22586,refute_0_22587]) ).

cnf(refute_0_22589,plain,
    bigC(b,a,quotient(product(a,c),b)) = bigC(a,b,quotient(product(a,c),b)),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(product(a,c),b),b),bigC(a,b,quotient(product(a,c),b))) )],[refute_0_22585,refute_0_22588]) ).

cnf(refute_0_22590,plain,
    ( bigC(b,a,quotient(product(a,c),b)) != bigC(a,b,quotient(product(a,c),b))
    | bigC(b,a,quotient(product(a,c),b)) != product(c,a)
    | bigC(a,b,quotient(product(a,c),b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,a,quotient(product(a,c),b)),product(c,a)) ),[0],$fot(bigC(a,b,quotient(product(a,c),b)))]]) ).

cnf(refute_0_22591,plain,
    ( bigC(b,a,quotient(product(a,c),b)) != product(c,a)
    | bigC(a,b,quotient(product(a,c),b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(bigC(b,a,quotient(product(a,c),b)),bigC(a,b,quotient(product(a,c),b))) )],[refute_0_22589,refute_0_22590]) ).

cnf(refute_0_22592,plain,
    bigC(a,b,quotient(product(a,c),b)) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(b,a,quotient(product(a,c),b)),product(c,a)) )],[refute_0_22584,refute_0_22591]) ).

cnf(refute_0_22593,plain,
    ( bigC(a,b,quotient(product(a,c),b)) != product(c,a)
    | difference(product(a,b),bigC(a,b,quotient(product(a,c),b))) != product(quotient(product(a,c),b),a)
    | difference(product(a,b),product(c,a)) = product(quotient(product(a,c),b),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(a,b,quotient(product(a,c),b))),product(quotient(product(a,c),b),a)) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_22594,plain,
    ( difference(product(a,b),bigC(a,b,quotient(product(a,c),b))) != product(quotient(product(a,c),b),a)
    | difference(product(a,b),product(c,a)) = product(quotient(product(a,c),b),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,quotient(product(a,c),b)),product(c,a)) )],[refute_0_22592,refute_0_22593]) ).

cnf(refute_0_22595,plain,
    difference(product(a,b),product(c,a)) = product(quotient(product(a,c),b),a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(a,b,quotient(product(a,c),b))),product(quotient(product(a,c),b),a)) )],[refute_0_22580,refute_0_22594]) ).

cnf(refute_0_22596,plain,
    ( difference(product(a,b),product(c,a)) != product(quotient(product(a,c),b),a)
    | product(quotient(product(a,c),b),a) = difference(product(a,b),product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(a,b),product(c,a)))),bind(Y,$fot(product(quotient(product(a,c),b),a)))]]) ).

cnf(refute_0_22597,plain,
    product(quotient(product(a,c),b),a) = difference(product(a,b),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,a)),product(quotient(product(a,c),b),a)) )],[refute_0_22595,refute_0_22596]) ).

cnf(refute_0_22598,plain,
    ( product(quotient(product(a,c),b),a) != difference(product(a,b),product(c,a))
    | quotient(product(quotient(product(a,c),b),a),a) != quotient(product(a,c),b)
    | quotient(difference(product(a,b),product(c,a)),a) = quotient(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(quotient(product(a,c),b),a),a),quotient(product(a,c),b)) ),[0,0],$fot(difference(product(a,b),product(c,a)))]]) ).

cnf(refute_0_22599,plain,
    ( quotient(product(quotient(product(a,c),b),a),a) != quotient(product(a,c),b)
    | quotient(difference(product(a,b),product(c,a)),a) = quotient(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),b),a),difference(product(a,b),product(c,a))) )],[refute_0_22597,refute_0_22598]) ).

cnf(refute_0_22600,plain,
    quotient(difference(product(a,b),product(c,a)),a) = quotient(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(product(a,c),b),a),a),quotient(product(a,c),b)) )],[refute_0_22579,refute_0_22599]) ).

cnf(refute_0_22601,plain,
    quotient(product(quotient(a,c),a),a) = quotient(a,c),
    inference(subst,[],[sos03:[bind(A,$fot(quotient(a,c))),bind(B,$fot(a))]]) ).

cnf(refute_0_22602,plain,
    difference(product(a,b),bigC(a,b,quotient(a,c))) = product(quotient(a,c),a),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(a)),bind(X_22,$fot(b)),bind(X_23,$fot(quotient(a,c)))]]) ).

cnf(refute_0_22603,plain,
    product(product(a,quotient(a,c)),difference(product(a,quotient(a,c)),product(c,a))) = product(c,a),
    inference(subst,[],[sos02:[bind(A,$fot(product(a,quotient(a,c)))),bind(B,$fot(product(c,a)))]]) ).

cnf(refute_0_22604,plain,
    difference(product(c,b),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),
    inference(subst,[],[sos01:[bind(A,$fot(product(c,b))),bind(B,$fot(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))))]]) ).

cnf(refute_0_22605,plain,
    difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(difference(difference(product(c,b),product(b,a)),product(a,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))),
    inference(subst,[],[refute_0_2368:[bind(X_31,$fot(product(a,c))),bind(X_32,$fot(difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_22606,plain,
    difference(quotient(product(a,c),product(c,b)),product(a,c)) = product(c,b),
    inference(subst,[],[refute_0_2584:[bind(B,$fot(product(c,b))),bind(X_9,$fot(product(a,c)))]]) ).

cnf(refute_0_22607,plain,
    ( difference(quotient(product(a,c),product(c,b)),product(a,c)) != product(c,b)
    | quotient(product(a,c),product(c,b)) != difference(product(c,b),product(b,a))
    | difference(difference(product(c,b),product(b,a)),product(a,c)) = product(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(product(a,c),product(c,b)),product(a,c)),product(c,b)) ),[0,0],$fot(difference(product(c,b),product(b,a)))]]) ).

cnf(refute_0_22608,plain,
    ( difference(quotient(product(a,c),product(c,b)),product(a,c)) != product(c,b)
    | difference(difference(product(c,b),product(b,a)),product(a,c)) = product(c,b) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),product(c,b)),difference(product(c,b),product(b,a))) )],[refute_0_9063,refute_0_22607]) ).

cnf(refute_0_22609,plain,
    difference(difference(product(c,b),product(b,a)),product(a,c)) = product(c,b),
    inference(resolve,[$cnf( $equal(difference(quotient(product(a,c),product(c,b)),product(a,c)),product(c,b)) )],[refute_0_22606,refute_0_22608]) ).

cnf(refute_0_22610,plain,
    ( difference(difference(product(c,b),product(b,a)),product(a,c)) != product(c,b)
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(difference(difference(product(c,b),product(b,a)),product(a,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),product(difference(difference(product(c,b),product(b,a)),product(a,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) ),[1,0],$fot(product(c,b))]]) ).

cnf(refute_0_22611,plain,
    ( difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(difference(difference(product(c,b),product(b,a)),product(a,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(a,c)),product(c,b)) )],[refute_0_22609,refute_0_22610]) ).

cnf(refute_0_22612,plain,
    difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),product(difference(difference(product(c,b),product(b,a)),product(a,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) )],[refute_0_22605,refute_0_22611]) ).

cnf(refute_0_22613,plain,
    difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))))]]) ).

cnf(refute_0_22614,plain,
    ( difference(difference(product(c,b),product(b,a)),product(a,c)) != product(c,b)
    | difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) != difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c)))
    | difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_22615,plain,
    ( difference(difference(product(c,b),product(b,a)),product(a,c)) != product(c,b)
    | difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c)))) )],[refute_0_22613,refute_0_22614]) ).

cnf(refute_0_22616,plain,
    difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(a,c)),product(c,b)) )],[refute_0_22609,refute_0_22615]) ).

cnf(refute_0_22617,plain,
    product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),
    introduced(tautology,[refl,[$fot(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))))]]) ).

cnf(refute_0_22618,plain,
    ( difference(difference(product(c,b),product(b,a)),product(a,c)) != product(c,b)
    | product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c)))
    | product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c)))) ),[1,1],$fot(product(c,b))]]) ).

cnf(refute_0_22619,plain,
    ( difference(difference(product(c,b),product(b,a)),product(a,c)) != product(c,b)
    | product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c)))) )],[refute_0_22617,refute_0_22618]) ).

cnf(refute_0_22620,plain,
    product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(product(a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(a,c)),product(c,b)) )],[refute_0_22609,refute_0_22619]) ).

cnf(refute_0_22621,plain,
    ( product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(product(a,c),product(c,b))
    | product(product(a,c),product(c,b)) != product(a,b)
    | product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(a,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))))),bind(Y,$fot(product(product(a,c),product(c,b)))),bind(Z,$fot(product(a,b)))]]) ).

cnf(refute_0_22622,plain,
    ( product(product(a,c),product(c,b)) != product(a,b)
    | product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(a,b) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),product(product(a,c),product(c,b))) )],[refute_0_22620,refute_0_22621]) ).

cnf(refute_0_22623,plain,
    product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(a,b),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(c,b)),product(a,b)) )],[sos09,refute_0_22622]) ).

cnf(refute_0_22624,plain,
    difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),
    introduced(tautology,[refl,[$fot(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))))]]) ).

cnf(refute_0_22625,plain,
    ( difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c)))
    | product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(a,b)
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c)))) ),[1,0],$fot(product(a,b))]]) ).

cnf(refute_0_22626,plain,
    ( product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(a,b)
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c)))) )],[refute_0_22624,refute_0_22625]) ).

cnf(refute_0_22627,plain,
    difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),product(a,b)) )],[refute_0_22623,refute_0_22626]) ).

cnf(refute_0_22628,plain,
    ( difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) != difference(product(a,b),product(c,b))
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c)))
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))))),bind(Y,$fot(difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))))),bind(Z,$fot(difference(product(a,b),product(c,b))))]]) ).

cnf(refute_0_22629,plain,
    ( difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))) != difference(product(a,b),product(c,b))
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c)))) )],[refute_0_22627,refute_0_22628]) ).

cnf(refute_0_22630,plain,
    difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = difference(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(a,b),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(a,b),product(c,b))) )],[refute_0_22616,refute_0_22629]) ).

cnf(refute_0_22631,plain,
    ( difference(product(a,b),product(c,b)) != product(b,c)
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != difference(product(a,b),product(c,b))
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))))),bind(Y,$fot(difference(product(a,b),product(c,b)))),bind(Z,$fot(product(b,c)))]]) ).

cnf(refute_0_22632,plain,
    ( difference(product(a,b),product(c,b)) != product(b,c)
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(product(a,b),product(c,b))) )],[refute_0_22630,refute_0_22631]) ).

cnf(refute_0_22633,plain,
    difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,b)),product(b,c)) )],[refute_0_9046,refute_0_22632]) ).

cnf(refute_0_22634,plain,
    ( difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(b,c)
    | difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))
    | product(b,c) = product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) ),[0],$fot(product(b,c))]]) ).

cnf(refute_0_22635,plain,
    ( difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))) != product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))
    | product(b,c) = product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),product(b,c)) )],[refute_0_22633,refute_0_22634]) ).

cnf(refute_0_22636,plain,
    product(b,c) = product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))),
    inference(resolve,[$cnf( $equal(difference(product(product(a,c),difference(difference(product(c,b),product(b,a)),product(a,c))),difference(difference(product(c,b),product(b,a)),product(a,c))),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) )],[refute_0_22612,refute_0_22635]) ).

cnf(refute_0_22637,plain,
    ( product(b,c) != product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))
    | product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) = product(b,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,c))),bind(Y,$fot(product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))))]]) ).

cnf(refute_0_22638,plain,
    product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) = product(b,c),
    inference(resolve,[$cnf( $equal(product(b,c),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) )],[refute_0_22636,refute_0_22637]) ).

cnf(refute_0_22639,plain,
    ( difference(product(c,b),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) != product(b,c)
    | difference(product(c,b),product(b,c)) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),[0,1],$fot(product(b,c))]]) ).

cnf(refute_0_22640,plain,
    ( difference(product(c,b),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | difference(product(c,b),product(b,c)) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))),product(b,c)) )],[refute_0_22638,refute_0_22639]) ).

cnf(refute_0_22641,plain,
    difference(product(c,b),product(b,c)) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(product(c,b),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) )],[refute_0_22604,refute_0_22640]) ).

cnf(refute_0_22642,plain,
    ( difference(product(c,b),product(b,c)) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | difference(product(c,b),product(b,c)) != product(b,a)
    | product(b,a) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,b),product(b,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),[0],$fot(product(b,a))]]) ).

cnf(refute_0_22643,plain,
    ( difference(product(c,b),product(b,c)) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | product(b,a) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,c)),product(b,a)) )],[refute_0_9043,refute_0_22642]) ).

cnf(refute_0_22644,plain,
    product(b,a) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,c)),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) )],[refute_0_22641,refute_0_22643]) ).

cnf(refute_0_22645,plain,
    product(product(a,c),difference(product(c,b),product(b,a))) = product(product(a,c),difference(product(c,b),product(b,a))),
    introduced(tautology,[refl,[$fot(product(product(a,c),difference(product(c,b),product(b,a))))]]) ).

cnf(refute_0_22646,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(product(a,c),difference(product(c,b),product(b,a))) != product(product(a,c),difference(product(c,b),product(b,a)))
    | product(product(a,c),difference(product(c,b),product(b,a))) = product(product(a,c),quotient(bigC(a,a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),difference(product(c,b),product(b,a))),product(product(a,c),difference(product(c,b),product(b,a)))) ),[1,1],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_22647,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | product(product(a,c),difference(product(c,b),product(b,a))) = product(product(a,c),quotient(bigC(a,a,c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(product(c,b),product(b,a))),product(product(a,c),difference(product(c,b),product(b,a)))) )],[refute_0_22645,refute_0_22646]) ).

cnf(refute_0_22648,plain,
    product(product(a,c),difference(product(c,b),product(b,a))) = product(product(a,c),quotient(bigC(a,a,c),c)),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_22647]) ).

cnf(refute_0_22649,plain,
    difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))),
    introduced(tautology,[refl,[$fot(difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_22650,plain,
    ( difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) != difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a))))
    | product(product(a,c),difference(product(c,b),product(b,a))) != product(product(a,c),quotient(bigC(a,a,c),c))
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))),difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a))))) ),[1,1],$fot(product(product(a,c),quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_22651,plain,
    ( product(product(a,c),difference(product(c,b),product(b,a))) != product(product(a,c),quotient(bigC(a,a,c),c))
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))),difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a))))) )],[refute_0_22649,refute_0_22650]) ).

cnf(refute_0_22652,plain,
    difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(product(product(a,c),difference(product(c,b),product(b,a))),product(product(a,c),quotient(bigC(a,a,c),c))) )],[refute_0_22648,refute_0_22651]) ).

cnf(refute_0_22653,plain,
    difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),
    introduced(tautology,[refl,[$fot(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))]]) ).

cnf(refute_0_22654,plain,
    ( difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),[1,0],$fot(quotient(bigC(a,a,c),c))]]) ).

cnf(refute_0_22655,plain,
    ( difference(product(c,b),product(b,a)) != quotient(bigC(a,a,c),c)
    | difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) )],[refute_0_22653,refute_0_22654]) ).

cnf(refute_0_22656,plain,
    difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))),
    inference(resolve,[$cnf( $equal(difference(product(c,b),product(b,a)),quotient(bigC(a,a,c),c)) )],[refute_0_13258,refute_0_22655]) ).

cnf(refute_0_22657,plain,
    ( difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) != difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a))))
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) != difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))
    | difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))))),bind(Y,$fot(difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))))),bind(Z,$fot(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))))]]) ).

cnf(refute_0_22658,plain,
    ( difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))) != difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))
    | difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a))))) )],[refute_0_22656,refute_0_22657]) ).

cnf(refute_0_22659,plain,
    difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),difference(product(c,b),product(b,a)))),difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))) )],[refute_0_22652,refute_0_22658]) ).

cnf(refute_0_22660,plain,
    ( difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))) != difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))
    | product(b,a) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | product(b,a) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,a),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) ),[1],$fot(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))))]]) ).

cnf(refute_0_22661,plain,
    ( product(b,a) != difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))
    | product(b,a) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a)))),difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))) )],[refute_0_22659,refute_0_22660]) ).

cnf(refute_0_22662,plain,
    product(b,a) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(product(b,a),difference(difference(product(c,b),product(b,a)),product(product(a,c),difference(product(c,b),product(b,a))))) )],[refute_0_22644,refute_0_22661]) ).

cnf(refute_0_22663,plain,
    product(c,product(a,a)) = product(c,product(a,a)),
    introduced(tautology,[refl,[$fot(product(c,product(a,a)))]]) ).

cnf(refute_0_22664,plain,
    ( product(a,a) != a
    | product(c,product(a,a)) != product(c,product(a,a))
    | product(c,product(a,a)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(a,a)),product(c,product(a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_22665,plain,
    ( product(a,a) != a
    | product(c,product(a,a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,a)),product(c,product(a,a))) )],[refute_0_22663,refute_0_22664]) ).

cnf(refute_0_22666,plain,
    product(c,product(a,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_22665]) ).

cnf(refute_0_22667,plain,
    product(product(c,a),product(c,a)) = product(c,product(a,a)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(a))]]) ).

cnf(refute_0_22668,plain,
    ( product(c,product(a,a)) != product(c,a)
    | product(product(c,a),product(c,a)) != product(c,product(a,a))
    | product(product(c,a),product(c,a)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),product(c,a)))),bind(Y,$fot(product(c,product(a,a)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_22669,plain,
    ( product(c,product(a,a)) != product(c,a)
    | product(product(c,a),product(c,a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,a)),product(c,product(a,a))) )],[refute_0_22667,refute_0_22668]) ).

cnf(refute_0_22670,plain,
    product(product(c,a),product(c,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(c,product(a,a)),product(c,a)) )],[refute_0_22666,refute_0_22669]) ).

cnf(refute_0_22671,plain,
    product(product(a,B),product(difference(c,product(b,a)),D)) = product(product(a,difference(c,product(b,a))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(a)),bind(C,$fot(difference(c,product(b,a))))]]) ).

cnf(refute_0_22672,plain,
    bigC(quotient(a,c),c,c) = product(a,product(c,quotient(a,c))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(a)),bind(X_22,$fot(c)),bind(X_23,$fot(c))]]) ).

cnf(refute_0_22673,plain,
    ( bigC(quotient(a,c),c,c) != product(a,product(c,quotient(a,c)))
    | product(c,quotient(a,c)) != difference(c,product(b,a))
    | bigC(quotient(a,c),c,c) = product(a,difference(c,product(b,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(a,c),c,c),product(a,product(c,quotient(a,c)))) ),[1,1],$fot(difference(c,product(b,a)))]]) ).

cnf(refute_0_22674,plain,
    ( bigC(quotient(a,c),c,c) != product(a,product(c,quotient(a,c)))
    | bigC(quotient(a,c),c,c) = product(a,difference(c,product(b,a))) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(a,c)),difference(c,product(b,a))) )],[refute_0_1960,refute_0_22673]) ).

cnf(refute_0_22675,plain,
    bigC(quotient(a,c),c,c) = product(a,difference(c,product(b,a))),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),c,c),product(a,product(c,quotient(a,c)))) )],[refute_0_22672,refute_0_22674]) ).

cnf(refute_0_22676,plain,
    ( bigC(quotient(a,c),c,c) != product(a,difference(c,product(b,a)))
    | product(a,difference(c,product(b,a))) = bigC(quotient(a,c),c,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(quotient(a,c),c,c))),bind(Y,$fot(product(a,difference(c,product(b,a)))))]]) ).

cnf(refute_0_22677,plain,
    product(a,difference(c,product(b,a))) = bigC(quotient(a,c),c,c),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),c,c),product(a,difference(c,product(b,a)))) )],[refute_0_22675,refute_0_22676]) ).

cnf(refute_0_22678,plain,
    ( product(a,difference(c,product(b,a))) != bigC(quotient(a,c),c,c)
    | product(product(a,B),product(difference(c,product(b,a)),D)) != product(product(a,difference(c,product(b,a))),product(B,D))
    | product(product(a,B),product(difference(c,product(b,a)),D)) = product(bigC(quotient(a,c),c,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(product(a,difference(c,product(b,a))),product(B,D))) ),[1,0],$fot(bigC(quotient(a,c),c,c))]]) ).

cnf(refute_0_22679,plain,
    ( product(product(a,B),product(difference(c,product(b,a)),D)) != product(product(a,difference(c,product(b,a))),product(B,D))
    | product(product(a,B),product(difference(c,product(b,a)),D)) = product(bigC(quotient(a,c),c,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,a))),bigC(quotient(a,c),c,c)) )],[refute_0_22677,refute_0_22678]) ).

cnf(refute_0_22680,plain,
    product(product(a,B),product(difference(c,product(b,a)),D)) = product(bigC(quotient(a,c),c,c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(product(a,difference(c,product(b,a))),product(B,D))) )],[refute_0_22671,refute_0_22679]) ).

cnf(refute_0_22681,plain,
    product(difference(c,product(b,a)),D) = product(difference(c,product(b,a)),D),
    introduced(tautology,[refl,[$fot(product(difference(c,product(b,a)),D))]]) ).

cnf(refute_0_22682,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),D) != product(difference(c,product(b,a)),D)
    | product(difference(c,product(b,a)),D) = product(quotient(c,b),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(c,product(b,a)),D),product(difference(c,product(b,a)),D)) ),[1,0],$fot(quotient(c,b))]]) ).

cnf(refute_0_22683,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(difference(c,product(b,a)),D) = product(quotient(c,b),D) ),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),D),product(difference(c,product(b,a)),D)) )],[refute_0_22681,refute_0_22682]) ).

cnf(refute_0_22684,plain,
    product(difference(c,product(b,a)),D) = product(quotient(c,b),D),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_22683]) ).

cnf(refute_0_22685,plain,
    product(product(a,B),product(difference(c,product(b,a)),D)) = product(product(a,B),product(difference(c,product(b,a)),D)),
    introduced(tautology,[refl,[$fot(product(product(a,B),product(difference(c,product(b,a)),D)))]]) ).

cnf(refute_0_22686,plain,
    ( product(difference(c,product(b,a)),D) != product(quotient(c,b),D)
    | product(product(a,B),product(difference(c,product(b,a)),D)) != product(product(a,B),product(difference(c,product(b,a)),D))
    | product(product(a,B),product(difference(c,product(b,a)),D)) = product(product(a,B),product(quotient(c,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(product(a,B),product(difference(c,product(b,a)),D))) ),[1,1],$fot(product(quotient(c,b),D))]]) ).

cnf(refute_0_22687,plain,
    ( product(difference(c,product(b,a)),D) != product(quotient(c,b),D)
    | product(product(a,B),product(difference(c,product(b,a)),D)) = product(product(a,B),product(quotient(c,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(product(a,B),product(difference(c,product(b,a)),D))) )],[refute_0_22685,refute_0_22686]) ).

cnf(refute_0_22688,plain,
    product(product(a,B),product(difference(c,product(b,a)),D)) = product(product(a,B),product(quotient(c,b),D)),
    inference(resolve,[$cnf( $equal(product(difference(c,product(b,a)),D),product(quotient(c,b),D)) )],[refute_0_22684,refute_0_22687]) ).

cnf(refute_0_22689,plain,
    ( product(product(a,B),product(difference(c,product(b,a)),D)) != product(bigC(quotient(a,c),c,c),product(B,D))
    | product(product(a,B),product(difference(c,product(b,a)),D)) != product(product(a,B),product(quotient(c,b),D))
    | product(product(a,B),product(quotient(c,b),D)) = product(bigC(quotient(a,c),c,c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(bigC(quotient(a,c),c,c),product(B,D))) ),[0],$fot(product(product(a,B),product(quotient(c,b),D)))]]) ).

cnf(refute_0_22690,plain,
    ( product(product(a,B),product(difference(c,product(b,a)),D)) != product(bigC(quotient(a,c),c,c),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) = product(bigC(quotient(a,c),c,c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(product(a,B),product(quotient(c,b),D))) )],[refute_0_22688,refute_0_22689]) ).

cnf(refute_0_22691,plain,
    product(a,difference(c,product(b,a))) = product(a,difference(c,product(b,a))),
    introduced(tautology,[refl,[$fot(product(a,difference(c,product(b,a))))]]) ).

cnf(refute_0_22692,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(a,difference(c,product(b,a))) != product(a,difference(c,product(b,a)))
    | product(a,difference(c,product(b,a))) = product(a,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(a,difference(c,product(b,a))),product(a,difference(c,product(b,a)))) ),[1,1],$fot(quotient(c,b))]]) ).

cnf(refute_0_22693,plain,
    ( difference(c,product(b,a)) != quotient(c,b)
    | product(a,difference(c,product(b,a))) = product(a,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,a))),product(a,difference(c,product(b,a)))) )],[refute_0_22691,refute_0_22692]) ).

cnf(refute_0_22694,plain,
    product(a,difference(c,product(b,a))) = product(a,quotient(c,b)),
    inference(resolve,[$cnf( $equal(difference(c,product(b,a)),quotient(c,b)) )],[refute_0_2556,refute_0_22693]) ).

cnf(refute_0_22695,plain,
    ( bigC(quotient(a,c),c,c) != product(a,difference(c,product(b,a)))
    | product(a,difference(c,product(b,a))) != product(a,quotient(c,b))
    | bigC(quotient(a,c),c,c) = product(a,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(quotient(a,c),c,c),product(a,quotient(c,b))) ),[0],$fot(product(a,difference(c,product(b,a))))]]) ).

cnf(refute_0_22696,plain,
    ( bigC(quotient(a,c),c,c) != product(a,difference(c,product(b,a)))
    | bigC(quotient(a,c),c,c) = product(a,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,a))),product(a,quotient(c,b))) )],[refute_0_22694,refute_0_22695]) ).

cnf(refute_0_22697,plain,
    bigC(quotient(a,c),c,c) = product(a,quotient(c,b)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),c,c),product(a,difference(c,product(b,a)))) )],[refute_0_22675,refute_0_22696]) ).

cnf(refute_0_22698,plain,
    product(bigC(quotient(a,c),c,c),product(B,D)) = product(bigC(quotient(a,c),c,c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(bigC(quotient(a,c),c,c),product(B,D)))]]) ).

cnf(refute_0_22699,plain,
    ( bigC(quotient(a,c),c,c) != product(a,quotient(c,b))
    | product(bigC(quotient(a,c),c,c),product(B,D)) != product(bigC(quotient(a,c),c,c),product(B,D))
    | product(bigC(quotient(a,c),c,c),product(B,D)) = product(product(a,quotient(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(quotient(a,c),c,c),product(B,D)),product(bigC(quotient(a,c),c,c),product(B,D))) ),[1,0],$fot(product(a,quotient(c,b)))]]) ).

cnf(refute_0_22700,plain,
    ( bigC(quotient(a,c),c,c) != product(a,quotient(c,b))
    | product(bigC(quotient(a,c),c,c),product(B,D)) = product(product(a,quotient(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(quotient(a,c),c,c),product(B,D)),product(bigC(quotient(a,c),c,c),product(B,D))) )],[refute_0_22698,refute_0_22699]) ).

cnf(refute_0_22701,plain,
    product(bigC(quotient(a,c),c,c),product(B,D)) = product(product(a,quotient(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(bigC(quotient(a,c),c,c),product(a,quotient(c,b))) )],[refute_0_22697,refute_0_22700]) ).

cnf(refute_0_22702,plain,
    ( product(bigC(quotient(a,c),c,c),product(B,D)) != product(product(a,quotient(c,b)),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) != product(bigC(quotient(a,c),c,c),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) = product(product(a,quotient(c,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,B),product(quotient(c,b),D)),product(bigC(quotient(a,c),c,c),product(B,D))) ),[1],$fot(product(product(a,quotient(c,b)),product(B,D)))]]) ).

cnf(refute_0_22703,plain,
    ( product(product(a,B),product(quotient(c,b),D)) != product(bigC(quotient(a,c),c,c),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) = product(product(a,quotient(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(quotient(a,c),c,c),product(B,D)),product(product(a,quotient(c,b)),product(B,D))) )],[refute_0_22701,refute_0_22702]) ).

cnf(refute_0_22704,plain,
    ( product(product(a,B),product(difference(c,product(b,a)),D)) != product(bigC(quotient(a,c),c,c),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) = product(product(a,quotient(c,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(quotient(c,b),D)),product(bigC(quotient(a,c),c,c),product(B,D))) )],[refute_0_22690,refute_0_22703]) ).

cnf(refute_0_22705,plain,
    product(product(a,B),product(quotient(c,b),D)) = product(product(a,quotient(c,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(difference(c,product(b,a)),D)),product(bigC(quotient(a,c),c,c),product(B,D))) )],[refute_0_22680,refute_0_22704]) ).

cnf(refute_0_22706,plain,
    bigC(a,difference(c,product(b,c)),a) = product(product(a,difference(c,product(b,c))),a),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(a)),bind(X_22,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_22707,plain,
    ( bigC(a,difference(c,product(b,c)),a) != product(product(a,difference(c,product(b,c))),a)
    | product(a,difference(c,product(b,c))) != c
    | bigC(a,difference(c,product(b,c)),a) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),product(product(a,difference(c,product(b,c))),a)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22708,plain,
    ( bigC(a,difference(c,product(b,c)),a) != product(product(a,difference(c,product(b,c))),a)
    | bigC(a,difference(c,product(b,c)),a) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(a,difference(c,product(b,c))),c) )],[refute_0_13628,refute_0_22707]) ).

cnf(refute_0_22709,plain,
    bigC(a,difference(c,product(b,c)),a) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),product(product(a,difference(c,product(b,c))),a)) )],[refute_0_22706,refute_0_22708]) ).

cnf(refute_0_22710,plain,
    product(product(a,a),quotient(c,b)) = product(product(a,a),quotient(c,b)),
    introduced(tautology,[refl,[$fot(product(product(a,a),quotient(c,b)))]]) ).

cnf(refute_0_22711,plain,
    ( product(a,a) != a
    | product(product(a,a),quotient(c,b)) != product(product(a,a),quotient(c,b))
    | product(product(a,a),quotient(c,b)) = product(a,quotient(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,a),quotient(c,b)),product(product(a,a),quotient(c,b))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_22712,plain,
    ( product(a,a) != a
    | product(product(a,a),quotient(c,b)) = product(a,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,a),quotient(c,b)),product(product(a,a),quotient(c,b))) )],[refute_0_22710,refute_0_22711]) ).

cnf(refute_0_22713,plain,
    product(product(a,a),quotient(c,b)) = product(a,quotient(c,b)),
    inference(resolve,[$cnf( $equal(product(a,a),a) )],[refute_0_100,refute_0_22712]) ).

cnf(refute_0_22714,plain,
    bigC(a,a,difference(c,product(b,c))) = product(product(a,a),quotient(c,b)),
    inference(subst,[],[refute_0_14041:[bind(B,$fot(a))]]) ).

cnf(refute_0_22715,plain,
    bigC(a,difference(c,product(b,c)),a) = bigC(a,a,difference(c,product(b,c))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(a)),bind(C,$fot(difference(c,product(b,c))))]]) ).

cnf(refute_0_22716,plain,
    ( bigC(a,a,difference(c,product(b,c))) != product(product(a,a),quotient(c,b))
    | bigC(a,difference(c,product(b,c)),a) != bigC(a,a,difference(c,product(b,c)))
    | bigC(a,difference(c,product(b,c)),a) = product(product(a,a),quotient(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,difference(c,product(b,c)),a))),bind(Y,$fot(bigC(a,a,difference(c,product(b,c))))),bind(Z,$fot(product(product(a,a),quotient(c,b))))]]) ).

cnf(refute_0_22717,plain,
    ( bigC(a,a,difference(c,product(b,c))) != product(product(a,a),quotient(c,b))
    | bigC(a,difference(c,product(b,c)),a) = product(product(a,a),quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),bigC(a,a,difference(c,product(b,c)))) )],[refute_0_22715,refute_0_22716]) ).

cnf(refute_0_22718,plain,
    bigC(a,difference(c,product(b,c)),a) = product(product(a,a),quotient(c,b)),
    inference(resolve,[$cnf( $equal(bigC(a,a,difference(c,product(b,c))),product(product(a,a),quotient(c,b))) )],[refute_0_22714,refute_0_22717]) ).

cnf(refute_0_22719,plain,
    ( bigC(a,difference(c,product(b,c)),a) != product(product(a,a),quotient(c,b))
    | product(product(a,a),quotient(c,b)) != product(a,quotient(c,b))
    | bigC(a,difference(c,product(b,c)),a) = product(a,quotient(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(a,difference(c,product(b,c)),a))),bind(Y,$fot(product(product(a,a),quotient(c,b)))),bind(Z,$fot(product(a,quotient(c,b))))]]) ).

cnf(refute_0_22720,plain,
    ( product(product(a,a),quotient(c,b)) != product(a,quotient(c,b))
    | bigC(a,difference(c,product(b,c)),a) = product(a,quotient(c,b)) ),
    inference(resolve,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),product(product(a,a),quotient(c,b))) )],[refute_0_22718,refute_0_22719]) ).

cnf(refute_0_22721,plain,
    bigC(a,difference(c,product(b,c)),a) = product(a,quotient(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,a),quotient(c,b)),product(a,quotient(c,b))) )],[refute_0_22713,refute_0_22720]) ).

cnf(refute_0_22722,plain,
    ( bigC(a,difference(c,product(b,c)),a) != product(a,quotient(c,b))
    | bigC(a,difference(c,product(b,c)),a) != product(c,a)
    | product(a,quotient(c,b)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),product(c,a)) ),[0],$fot(product(a,quotient(c,b)))]]) ).

cnf(refute_0_22723,plain,
    ( bigC(a,difference(c,product(b,c)),a) != product(c,a)
    | product(a,quotient(c,b)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),product(a,quotient(c,b))) )],[refute_0_22721,refute_0_22722]) ).

cnf(refute_0_22724,plain,
    product(a,quotient(c,b)) = product(c,a),
    inference(resolve,[$cnf( $equal(bigC(a,difference(c,product(b,c)),a),product(c,a)) )],[refute_0_22709,refute_0_22723]) ).

cnf(refute_0_22725,plain,
    product(product(a,quotient(c,b)),product(B,D)) = product(product(a,quotient(c,b)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(a,quotient(c,b)),product(B,D)))]]) ).

cnf(refute_0_22726,plain,
    ( product(a,quotient(c,b)) != product(c,a)
    | product(product(a,quotient(c,b)),product(B,D)) != product(product(a,quotient(c,b)),product(B,D))
    | product(product(a,quotient(c,b)),product(B,D)) = product(product(c,a),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(c,b)),product(B,D)),product(product(a,quotient(c,b)),product(B,D))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_22727,plain,
    ( product(a,quotient(c,b)) != product(c,a)
    | product(product(a,quotient(c,b)),product(B,D)) = product(product(c,a),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,b)),product(B,D)),product(product(a,quotient(c,b)),product(B,D))) )],[refute_0_22725,refute_0_22726]) ).

cnf(refute_0_22728,plain,
    product(product(a,quotient(c,b)),product(B,D)) = product(product(c,a),product(B,D)),
    inference(resolve,[$cnf( $equal(product(a,quotient(c,b)),product(c,a)) )],[refute_0_22724,refute_0_22727]) ).

cnf(refute_0_22729,plain,
    ( product(product(a,B),product(quotient(c,b),D)) != product(product(a,quotient(c,b)),product(B,D))
    | product(product(a,quotient(c,b)),product(B,D)) != product(product(c,a),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) = product(product(c,a),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(a,B),product(quotient(c,b),D)),product(product(c,a),product(B,D))) ),[0],$fot(product(product(a,quotient(c,b)),product(B,D)))]]) ).

cnf(refute_0_22730,plain,
    ( product(product(a,B),product(quotient(c,b),D)) != product(product(a,quotient(c,b)),product(B,D))
    | product(product(a,B),product(quotient(c,b),D)) = product(product(c,a),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(c,b)),product(B,D)),product(product(c,a),product(B,D))) )],[refute_0_22728,refute_0_22729]) ).

cnf(refute_0_22731,plain,
    product(product(a,B),product(quotient(c,b),D)) = product(product(c,a),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,B),product(quotient(c,b),D)),product(product(a,quotient(c,b)),product(B,D))) )],[refute_0_22705,refute_0_22730]) ).

cnf(refute_0_22732,plain,
    product(product(a,c),product(quotient(c,b),a)) = product(product(c,a),product(c,a)),
    inference(subst,[],[refute_0_22731:[bind(B,$fot(c)),bind(D,$fot(a))]]) ).

cnf(refute_0_22733,plain,
    ( product(product(a,c),product(quotient(c,b),a)) != product(product(c,a),product(c,a))
    | product(product(c,a),product(c,a)) != product(c,a)
    | product(product(a,c),product(quotient(c,b),a)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),product(quotient(c,b),a)))),bind(Y,$fot(product(product(c,a),product(c,a)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_22734,plain,
    ( product(product(c,a),product(c,a)) != product(c,a)
    | product(product(a,c),product(quotient(c,b),a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(quotient(c,b),a)),product(product(c,a),product(c,a))) )],[refute_0_22732,refute_0_22733]) ).

cnf(refute_0_22735,plain,
    product(product(a,c),product(quotient(c,b),a)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(c,a)),product(c,a)) )],[refute_0_22670,refute_0_22734]) ).

cnf(refute_0_22736,plain,
    product(product(a,c),quotient(bigC(a,a,c),c)) = product(product(a,c),quotient(bigC(a,a,c),c)),
    introduced(tautology,[refl,[$fot(product(product(a,c),quotient(bigC(a,a,c),c)))]]) ).

cnf(refute_0_22737,plain,
    ( product(product(a,c),quotient(bigC(a,a,c),c)) != product(product(a,c),quotient(bigC(a,a,c),c))
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(product(a,c),quotient(bigC(a,a,c),c)) = product(product(a,c),product(quotient(c,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,c),quotient(bigC(a,a,c),c)),product(product(a,c),quotient(bigC(a,a,c),c))) ),[1,1],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_22738,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | product(product(a,c),quotient(bigC(a,a,c),c)) = product(product(a,c),product(quotient(c,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(bigC(a,a,c),c)),product(product(a,c),quotient(bigC(a,a,c),c))) )],[refute_0_22736,refute_0_22737]) ).

cnf(refute_0_22739,plain,
    product(product(a,c),quotient(bigC(a,a,c),c)) = product(product(a,c),product(quotient(c,b),a)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_22738]) ).

cnf(refute_0_22740,plain,
    ( product(product(a,c),product(quotient(c,b),a)) != product(c,a)
    | product(product(a,c),quotient(bigC(a,a,c),c)) != product(product(a,c),product(quotient(c,b),a))
    | product(product(a,c),quotient(bigC(a,a,c),c)) = product(c,a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,c),quotient(bigC(a,a,c),c)))),bind(Y,$fot(product(product(a,c),product(quotient(c,b),a)))),bind(Z,$fot(product(c,a)))]]) ).

cnf(refute_0_22741,plain,
    ( product(product(a,c),product(quotient(c,b),a)) != product(c,a)
    | product(product(a,c),quotient(bigC(a,a,c),c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(bigC(a,a,c),c)),product(product(a,c),product(quotient(c,b),a))) )],[refute_0_22739,refute_0_22740]) ).

cnf(refute_0_22742,plain,
    product(product(a,c),quotient(bigC(a,a,c),c)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(quotient(c,b),a)),product(c,a)) )],[refute_0_22735,refute_0_22741]) ).

cnf(refute_0_22743,plain,
    difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))),
    introduced(tautology,[refl,[$fot(difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))))]]) ).

cnf(refute_0_22744,plain,
    ( difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) != difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c)))
    | product(product(a,c),quotient(bigC(a,a,c),c)) != product(c,a)
    | difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))),difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c)))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_22745,plain,
    ( product(product(a,c),quotient(bigC(a,a,c),c)) != product(c,a)
    | difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))),difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c)))) )],[refute_0_22743,refute_0_22744]) ).

cnf(refute_0_22746,plain,
    difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(a,c),quotient(bigC(a,a,c),c)),product(c,a)) )],[refute_0_22742,refute_0_22745]) ).

cnf(refute_0_22747,plain,
    difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),
    introduced(tautology,[refl,[$fot(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))))]]) ).

cnf(refute_0_22748,plain,
    ( difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) != difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))
    | quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))) ),[1,0],$fot(product(quotient(c,b),a))]]) ).

cnf(refute_0_22749,plain,
    ( quotient(bigC(a,a,c),c) != product(quotient(c,b),a)
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) ),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))) )],[refute_0_22747,refute_0_22748]) ).

cnf(refute_0_22750,plain,
    difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,a,c),c),product(quotient(c,b),a)) )],[refute_0_13842,refute_0_22749]) ).

cnf(refute_0_22751,plain,
    ( difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) != difference(product(quotient(c,b),a),product(c,a))
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) != difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c)))
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))))),bind(Y,$fot(difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))))),bind(Z,$fot(difference(product(quotient(c,b),a),product(c,a))))]]) ).

cnf(refute_0_22752,plain,
    ( difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))) != difference(product(quotient(c,b),a),product(c,a))
    | difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c)))) )],[refute_0_22750,refute_0_22751]) ).

cnf(refute_0_22753,plain,
    difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) = difference(product(quotient(c,b),a),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),a),product(product(a,c),quotient(bigC(a,a,c),c))),difference(product(quotient(c,b),a),product(c,a))) )],[refute_0_22746,refute_0_22752]) ).

cnf(refute_0_22754,plain,
    ( difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))) != difference(product(quotient(c,b),a),product(c,a))
    | product(b,a) != difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))
    | product(b,a) = difference(product(quotient(c,b),a),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,a),difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))) ),[1],$fot(difference(product(quotient(c,b),a),product(c,a)))]]) ).

cnf(refute_0_22755,plain,
    ( product(b,a) != difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))
    | product(b,a) = difference(product(quotient(c,b),a),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c))),difference(product(quotient(c,b),a),product(c,a))) )],[refute_0_22753,refute_0_22754]) ).

cnf(refute_0_22756,plain,
    product(b,a) = difference(product(quotient(c,b),a),product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,a),difference(quotient(bigC(a,a,c),c),product(product(a,c),quotient(bigC(a,a,c),c)))) )],[refute_0_22662,refute_0_22755]) ).

cnf(refute_0_22757,plain,
    difference(product(quotient(c,b),a),product(c,a)) = difference(product(quotient(c,b),a),product(c,a)),
    introduced(tautology,[refl,[$fot(difference(product(quotient(c,b),a),product(c,a)))]]) ).

cnf(refute_0_22758,plain,
    ( difference(product(quotient(c,b),a),product(c,a)) != difference(product(quotient(c,b),a),product(c,a))
    | product(quotient(c,b),a) != product(a,quotient(a,c))
    | difference(product(quotient(c,b),a),product(c,a)) = difference(product(a,quotient(a,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(c,b),a),product(c,a)),difference(product(quotient(c,b),a),product(c,a))) ),[1,0],$fot(product(a,quotient(a,c)))]]) ).

cnf(refute_0_22759,plain,
    ( product(quotient(c,b),a) != product(a,quotient(a,c))
    | difference(product(quotient(c,b),a),product(c,a)) = difference(product(a,quotient(a,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),a),product(c,a)),difference(product(quotient(c,b),a),product(c,a))) )],[refute_0_22757,refute_0_22758]) ).

cnf(refute_0_22760,plain,
    difference(product(quotient(c,b),a),product(c,a)) = difference(product(a,quotient(a,c)),product(c,a)),
    inference(resolve,[$cnf( $equal(product(quotient(c,b),a),product(a,quotient(a,c))) )],[refute_0_14305,refute_0_22759]) ).

cnf(refute_0_22761,plain,
    ( difference(product(quotient(c,b),a),product(c,a)) != difference(product(a,quotient(a,c)),product(c,a))
    | product(b,a) != difference(product(quotient(c,b),a),product(c,a))
    | product(b,a) = difference(product(a,quotient(a,c)),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,a),difference(product(quotient(c,b),a),product(c,a))) ),[1],$fot(difference(product(a,quotient(a,c)),product(c,a)))]]) ).

cnf(refute_0_22762,plain,
    ( product(b,a) != difference(product(quotient(c,b),a),product(c,a))
    | product(b,a) = difference(product(a,quotient(a,c)),product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(quotient(c,b),a),product(c,a)),difference(product(a,quotient(a,c)),product(c,a))) )],[refute_0_22760,refute_0_22761]) ).

cnf(refute_0_22763,plain,
    product(b,a) = difference(product(a,quotient(a,c)),product(c,a)),
    inference(resolve,[$cnf( $equal(product(b,a),difference(product(quotient(c,b),a),product(c,a))) )],[refute_0_22756,refute_0_22762]) ).

cnf(refute_0_22764,plain,
    ( product(b,a) != difference(product(a,quotient(a,c)),product(c,a))
    | difference(product(a,quotient(a,c)),product(c,a)) = product(b,a) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,a))),bind(Y,$fot(difference(product(a,quotient(a,c)),product(c,a))))]]) ).

cnf(refute_0_22765,plain,
    difference(product(a,quotient(a,c)),product(c,a)) = product(b,a),
    inference(resolve,[$cnf( $equal(product(b,a),difference(product(a,quotient(a,c)),product(c,a))) )],[refute_0_22763,refute_0_22764]) ).

cnf(refute_0_22766,plain,
    ( difference(product(a,quotient(a,c)),product(c,a)) != product(b,a)
    | product(product(a,quotient(a,c)),difference(product(a,quotient(a,c)),product(c,a))) != product(c,a)
    | product(product(a,quotient(a,c)),product(b,a)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(a,c)),difference(product(a,quotient(a,c)),product(c,a))),product(c,a)) ),[0,1],$fot(product(b,a))]]) ).

cnf(refute_0_22767,plain,
    ( product(product(a,quotient(a,c)),difference(product(a,quotient(a,c)),product(c,a))) != product(c,a)
    | product(product(a,quotient(a,c)),product(b,a)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(difference(product(a,quotient(a,c)),product(c,a)),product(b,a)) )],[refute_0_22765,refute_0_22766]) ).

cnf(refute_0_22768,plain,
    product(product(a,quotient(a,c)),product(b,a)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),difference(product(a,quotient(a,c)),product(c,a))),product(c,a)) )],[refute_0_22603,refute_0_22767]) ).

cnf(refute_0_22769,plain,
    bigC(a,quotient(a,c),b) = bigC(a,b,quotient(a,c)),
    inference(subst,[],[refute_0_14:[bind(A,$fot(a)),bind(B,$fot(b)),bind(C,$fot(quotient(a,c)))]]) ).

cnf(refute_0_22770,plain,
    product(product(a,quotient(a,c)),product(b,a)) = bigC(a,quotient(a,c),b),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(quotient(a,c))),bind(C,$fot(b))]]) ).

cnf(refute_0_22771,plain,
    ( bigC(a,quotient(a,c),b) != bigC(a,b,quotient(a,c))
    | product(product(a,quotient(a,c)),product(b,a)) != bigC(a,quotient(a,c),b)
    | product(product(a,quotient(a,c)),product(b,a)) = bigC(a,b,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,quotient(a,c)),product(b,a)))),bind(Y,$fot(bigC(a,quotient(a,c),b))),bind(Z,$fot(bigC(a,b,quotient(a,c))))]]) ).

cnf(refute_0_22772,plain,
    ( bigC(a,quotient(a,c),b) != bigC(a,b,quotient(a,c))
    | product(product(a,quotient(a,c)),product(b,a)) = bigC(a,b,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),product(b,a)),bigC(a,quotient(a,c),b)) )],[refute_0_22770,refute_0_22771]) ).

cnf(refute_0_22773,plain,
    product(product(a,quotient(a,c)),product(b,a)) = bigC(a,b,quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(a,quotient(a,c),b),bigC(a,b,quotient(a,c))) )],[refute_0_22769,refute_0_22772]) ).

cnf(refute_0_22774,plain,
    ( product(product(a,quotient(a,c)),product(b,a)) != bigC(a,b,quotient(a,c))
    | product(product(a,quotient(a,c)),product(b,a)) != product(c,a)
    | bigC(a,b,quotient(a,c)) = product(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,quotient(a,c)),product(b,a)),product(c,a)) ),[0],$fot(bigC(a,b,quotient(a,c)))]]) ).

cnf(refute_0_22775,plain,
    ( product(product(a,quotient(a,c)),product(b,a)) != product(c,a)
    | bigC(a,b,quotient(a,c)) = product(c,a) ),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),product(b,a)),bigC(a,b,quotient(a,c))) )],[refute_0_22773,refute_0_22774]) ).

cnf(refute_0_22776,plain,
    bigC(a,b,quotient(a,c)) = product(c,a),
    inference(resolve,[$cnf( $equal(product(product(a,quotient(a,c)),product(b,a)),product(c,a)) )],[refute_0_22768,refute_0_22775]) ).

cnf(refute_0_22777,plain,
    ( bigC(a,b,quotient(a,c)) != product(c,a)
    | difference(product(a,b),bigC(a,b,quotient(a,c))) != product(quotient(a,c),a)
    | difference(product(a,b),product(c,a)) = product(quotient(a,c),a) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,b),bigC(a,b,quotient(a,c))),product(quotient(a,c),a)) ),[0,1],$fot(product(c,a))]]) ).

cnf(refute_0_22778,plain,
    ( difference(product(a,b),bigC(a,b,quotient(a,c))) != product(quotient(a,c),a)
    | difference(product(a,b),product(c,a)) = product(quotient(a,c),a) ),
    inference(resolve,[$cnf( $equal(bigC(a,b,quotient(a,c)),product(c,a)) )],[refute_0_22776,refute_0_22777]) ).

cnf(refute_0_22779,plain,
    difference(product(a,b),product(c,a)) = product(quotient(a,c),a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(a,b,quotient(a,c))),product(quotient(a,c),a)) )],[refute_0_22602,refute_0_22778]) ).

cnf(refute_0_22780,plain,
    quotient(difference(product(a,b),product(c,a)),a) = quotient(difference(product(a,b),product(c,a)),a),
    introduced(tautology,[refl,[$fot(quotient(difference(product(a,b),product(c,a)),a))]]) ).

cnf(refute_0_22781,plain,
    ( difference(product(a,b),product(c,a)) != product(quotient(a,c),a)
    | quotient(difference(product(a,b),product(c,a)),a) != quotient(difference(product(a,b),product(c,a)),a)
    | quotient(difference(product(a,b),product(c,a)),a) = quotient(product(quotient(a,c),a),a) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(a,b),product(c,a)),a),quotient(difference(product(a,b),product(c,a)),a)) ),[1,0],$fot(product(quotient(a,c),a))]]) ).

cnf(refute_0_22782,plain,
    ( difference(product(a,b),product(c,a)) != product(quotient(a,c),a)
    | quotient(difference(product(a,b),product(c,a)),a) = quotient(product(quotient(a,c),a),a) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,b),product(c,a)),a),quotient(difference(product(a,b),product(c,a)),a)) )],[refute_0_22780,refute_0_22781]) ).

cnf(refute_0_22783,plain,
    quotient(difference(product(a,b),product(c,a)),a) = quotient(product(quotient(a,c),a),a),
    inference(resolve,[$cnf( $equal(difference(product(a,b),product(c,a)),product(quotient(a,c),a)) )],[refute_0_22779,refute_0_22782]) ).

cnf(refute_0_22784,plain,
    ( quotient(difference(product(a,b),product(c,a)),a) != quotient(product(quotient(a,c),a),a)
    | quotient(product(quotient(a,c),a),a) != quotient(a,c)
    | quotient(difference(product(a,b),product(c,a)),a) = quotient(a,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(quotient(difference(product(a,b),product(c,a)),a))),bind(Y,$fot(quotient(product(quotient(a,c),a),a))),bind(Z,$fot(quotient(a,c)))]]) ).

cnf(refute_0_22785,plain,
    ( quotient(product(quotient(a,c),a),a) != quotient(a,c)
    | quotient(difference(product(a,b),product(c,a)),a) = quotient(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,b),product(c,a)),a),quotient(product(quotient(a,c),a),a)) )],[refute_0_22783,refute_0_22784]) ).

cnf(refute_0_22786,plain,
    quotient(difference(product(a,b),product(c,a)),a) = quotient(a,c),
    inference(resolve,[$cnf( $equal(quotient(product(quotient(a,c),a),a),quotient(a,c)) )],[refute_0_22601,refute_0_22785]) ).

cnf(refute_0_22787,plain,
    ( quotient(difference(product(a,b),product(c,a)),a) != quotient(a,c)
    | quotient(difference(product(a,b),product(c,a)),a) != quotient(product(a,c),b)
    | quotient(a,c) = quotient(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(difference(product(a,b),product(c,a)),a),quotient(product(a,c),b)) ),[0],$fot(quotient(a,c))]]) ).

cnf(refute_0_22788,plain,
    ( quotient(difference(product(a,b),product(c,a)),a) != quotient(product(a,c),b)
    | quotient(a,c) = quotient(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,b),product(c,a)),a),quotient(a,c)) )],[refute_0_22786,refute_0_22787]) ).

cnf(refute_0_22789,plain,
    quotient(a,c) = quotient(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(difference(product(a,b),product(c,a)),a),quotient(product(a,c),b)) )],[refute_0_22600,refute_0_22788]) ).

cnf(refute_0_22790,plain,
    ( quotient(a,c) != quotient(product(a,c),b)
    | quotient(product(a,c),b) = quotient(a,c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(quotient(a,c))),bind(Y,$fot(quotient(product(a,c),b)))]]) ).

cnf(refute_0_22791,plain,
    quotient(product(a,c),b) = quotient(a,c),
    inference(resolve,[$cnf( $equal(quotient(a,c),quotient(product(a,c),b)) )],[refute_0_22789,refute_0_22790]) ).

cnf(refute_0_22792,plain,
    ( product(quotient(product(a,c),b),b) != product(a,c)
    | quotient(product(a,c),b) != quotient(a,c)
    | product(quotient(a,c),b) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(product(a,c),b),b),product(a,c)) ),[0,0],$fot(quotient(a,c))]]) ).

cnf(refute_0_22793,plain,
    ( product(quotient(product(a,c),b),b) != product(a,c)
    | product(quotient(a,c),b) = product(a,c) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),b),quotient(a,c)) )],[refute_0_22791,refute_0_22792]) ).

cnf(refute_0_22794,plain,
    product(quotient(a,c),b) = product(a,c),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,c),b),b),product(a,c)) )],[refute_0_22578,refute_0_22793]) ).

cnf(refute_0_22795,plain,
    ( bigC(c,product(a,b),quotient(a,c)) != product(product(c,product(c,a)),product(quotient(a,c),b))
    | product(quotient(a,c),b) != product(a,c)
    | bigC(c,product(a,b),quotient(a,c)) = product(product(c,product(c,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),quotient(a,c)),product(product(c,product(c,a)),product(quotient(a,c),b))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_22796,plain,
    ( bigC(c,product(a,b),quotient(a,c)) != product(product(c,product(c,a)),product(quotient(a,c),b))
    | bigC(c,product(a,b),quotient(a,c)) = product(product(c,product(c,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),b),product(a,c)) )],[refute_0_22794,refute_0_22795]) ).

cnf(refute_0_22797,plain,
    bigC(c,product(a,b),quotient(a,c)) = product(product(c,product(c,a)),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(a,c)),product(product(c,product(c,a)),product(quotient(a,c),b))) )],[refute_0_22577,refute_0_22796]) ).

cnf(refute_0_22798,plain,
    product(product(a,product(b,c)),a) = bigC(a,product(b,c),a),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(a)),bind(X_22,$fot(product(b,c)))]]) ).

cnf(refute_0_22799,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(product(a,product(b,c)),a) != bigC(a,product(b,c),a)
    | product(product(a,product(b,c)),a) = bigC(a,a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),a))),bind(Y,$fot(bigC(a,product(b,c),a))),bind(Z,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_22800,plain,
    ( bigC(a,product(b,c),a) != bigC(a,a,product(b,c))
    | product(product(a,product(b,c)),a) = bigC(a,a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),a),bigC(a,product(b,c),a)) )],[refute_0_22798,refute_0_22799]) ).

cnf(refute_0_22801,plain,
    product(product(a,product(b,c)),a) = bigC(a,a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,product(b,c),a),bigC(a,a,product(b,c))) )],[refute_0_19860,refute_0_22800]) ).

cnf(refute_0_22802,plain,
    product(product(c,product(a,b)),a) = product(product(c,product(a,b)),a),
    introduced(tautology,[refl,[$fot(product(product(c,product(a,b)),a))]]) ).

cnf(refute_0_22803,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(c,product(a,b)),a) != product(product(c,product(a,b)),a)
    | product(product(c,product(a,b)),a) = product(product(a,product(b,c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,product(a,b)),a),product(product(c,product(a,b)),a)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_22804,plain,
    ( product(c,product(a,b)) != product(a,product(b,c))
    | product(product(c,product(a,b)),a) = product(product(a,product(b,c)),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),a),product(product(c,product(a,b)),a)) )],[refute_0_22802,refute_0_22803]) ).

cnf(refute_0_22805,plain,
    product(product(c,product(a,b)),a) = product(product(a,product(b,c)),a),
    inference(resolve,[$cnf( $equal(product(c,product(a,b)),product(a,product(b,c))) )],[refute_0_1095,refute_0_22804]) ).

cnf(refute_0_22806,plain,
    ( product(product(a,product(b,c)),a) != bigC(a,a,product(b,c))
    | product(product(c,product(a,b)),a) != product(product(a,product(b,c)),a)
    | product(product(c,product(a,b)),a) = bigC(a,a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(a,b)),a))),bind(Y,$fot(product(product(a,product(b,c)),a))),bind(Z,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_22807,plain,
    ( product(product(a,product(b,c)),a) != bigC(a,a,product(b,c))
    | product(product(c,product(a,b)),a) = bigC(a,a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),a),product(product(a,product(b,c)),a)) )],[refute_0_22805,refute_0_22806]) ).

cnf(refute_0_22808,plain,
    product(product(c,product(a,b)),a) = bigC(a,a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),a),bigC(a,a,product(b,c))) )],[refute_0_22801,refute_0_22807]) ).

cnf(refute_0_22809,plain,
    bigC(c,product(a,b),quotient(a,c)) = product(product(c,product(a,b)),a),
    inference(subst,[],[refute_0_356:[bind(A,$fot(a)),bind(X_21,$fot(c)),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_22810,plain,
    ( bigC(c,product(a,b),quotient(a,c)) != product(product(c,product(a,b)),a)
    | product(product(c,product(a,b)),a) != bigC(a,a,product(b,c))
    | bigC(c,product(a,b),quotient(a,c)) = bigC(a,a,product(b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,b),quotient(a,c)))),bind(Y,$fot(product(product(c,product(a,b)),a))),bind(Z,$fot(bigC(a,a,product(b,c))))]]) ).

cnf(refute_0_22811,plain,
    ( product(product(c,product(a,b)),a) != bigC(a,a,product(b,c))
    | bigC(c,product(a,b),quotient(a,c)) = bigC(a,a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(a,c)),product(product(c,product(a,b)),a)) )],[refute_0_22809,refute_0_22810]) ).

cnf(refute_0_22812,plain,
    bigC(c,product(a,b),quotient(a,c)) = bigC(a,a,product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,product(a,b)),a),bigC(a,a,product(b,c))) )],[refute_0_22808,refute_0_22811]) ).

cnf(refute_0_22813,plain,
    ( bigC(c,product(a,b),quotient(a,c)) != bigC(a,a,product(b,c))
    | bigC(c,product(a,b),quotient(a,c)) != product(product(c,product(c,a)),product(a,c))
    | bigC(a,a,product(b,c)) = product(product(c,product(c,a)),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,b),quotient(a,c)),product(product(c,product(c,a)),product(a,c))) ),[0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_22814,plain,
    ( bigC(c,product(a,b),quotient(a,c)) != product(product(c,product(c,a)),product(a,c))
    | bigC(a,a,product(b,c)) = product(product(c,product(c,a)),product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(a,c)),bigC(a,a,product(b,c))) )],[refute_0_22812,refute_0_22813]) ).

cnf(refute_0_22815,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(product(c,a),bigC(c,a,c)) != bigC(c,a,product(c,a))
    | product(product(c,a),bigC(c,a,c)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,a),bigC(c,a,c)))),bind(Y,$fot(bigC(c,a,product(c,a)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_22816,plain,
    ( bigC(c,a,product(c,a)) != bigC(a,c,product(c,a))
    | product(product(c,a),bigC(c,a,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,a,c)),bigC(c,a,product(c,a))) )],[refute_0_6527,refute_0_22815]) ).

cnf(refute_0_22817,plain,
    product(product(c,a),bigC(c,a,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,a,product(c,a)),bigC(a,c,product(c,a))) )],[refute_0_8650,refute_0_22816]) ).

cnf(refute_0_22818,plain,
    ( product(product(c,a),bigC(c,a,c)) != bigC(a,c,product(c,a))
    | product(product(c,product(c,a)),product(a,c)) != product(product(c,a),bigC(c,a,c))
    | product(product(c,product(c,a)),product(a,c)) = bigC(a,c,product(c,a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),product(a,c)))),bind(Y,$fot(product(product(c,a),bigC(c,a,c)))),bind(Z,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_22819,plain,
    ( product(product(c,a),bigC(c,a,c)) != bigC(a,c,product(c,a))
    | product(product(c,product(c,a)),product(a,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(a,c)),product(product(c,a),bigC(c,a,c))) )],[refute_0_6528,refute_0_22818]) ).

cnf(refute_0_22820,plain,
    product(product(c,product(c,a)),product(a,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),bigC(c,a,c)),bigC(a,c,product(c,a))) )],[refute_0_22817,refute_0_22819]) ).

cnf(refute_0_22821,plain,
    ( bigC(a,a,product(b,c)) != product(product(c,product(c,a)),product(a,c))
    | product(product(c,product(c,a)),product(a,c)) != bigC(a,c,product(c,a))
    | bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,a,product(b,c)),bigC(a,c,product(c,a))) ),[0],$fot(product(product(c,product(c,a)),product(a,c)))]]) ).

cnf(refute_0_22822,plain,
    ( bigC(a,a,product(b,c)) != product(product(c,product(c,a)),product(a,c))
    | bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(a,c)),bigC(a,c,product(c,a))) )],[refute_0_22820,refute_0_22821]) ).

cnf(refute_0_22823,plain,
    ( bigC(c,product(a,b),quotient(a,c)) != product(product(c,product(c,a)),product(a,c))
    | bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(b,c)),product(product(c,product(c,a)),product(a,c))) )],[refute_0_22814,refute_0_22822]) ).

cnf(refute_0_22824,plain,
    bigC(a,a,product(b,c)) = bigC(a,c,product(c,a)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),quotient(a,c)),product(product(c,product(c,a)),product(a,c))) )],[refute_0_22797,refute_0_22823]) ).

cnf(refute_0_22825,plain,
    ( bigC(a,a,product(b,c)) != bigC(a,c,product(c,a))
    | bigC(a,c,product(c,a)) = bigC(a,a,product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,a,product(b,c)))),bind(Y,$fot(bigC(a,c,product(c,a))))]]) ).

cnf(refute_0_22826,plain,
    bigC(a,c,product(c,a)) = bigC(a,a,product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(b,c)),bigC(a,c,product(c,a))) )],[refute_0_22824,refute_0_22825]) ).

cnf(refute_0_22827,plain,
    product(bigC(a,c,product(c,a)),b) = product(bigC(a,c,product(c,a)),b),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,a)),b))]]) ).

cnf(refute_0_22828,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(bigC(a,c,product(c,a)),b) != product(bigC(a,c,product(c,a)),b)
    | product(bigC(a,c,product(c,a)),b) = product(bigC(a,a,product(b,c)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,a)),b),product(bigC(a,c,product(c,a)),b)) ),[1,0],$fot(bigC(a,a,product(b,c)))]]) ).

cnf(refute_0_22829,plain,
    ( bigC(a,c,product(c,a)) != bigC(a,a,product(b,c))
    | product(bigC(a,c,product(c,a)),b) = product(bigC(a,a,product(b,c)),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),b),product(bigC(a,c,product(c,a)),b)) )],[refute_0_22827,refute_0_22828]) ).

cnf(refute_0_22830,plain,
    product(bigC(a,c,product(c,a)),b) = product(bigC(a,a,product(b,c)),b),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,a)),bigC(a,a,product(b,c))) )],[refute_0_22826,refute_0_22829]) ).

cnf(refute_0_22831,plain,
    product(product(bigC(a,c,product(c,a)),b),c) = product(product(bigC(a,c,product(c,a)),b),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,c,product(c,a)),b),c))]]) ).

cnf(refute_0_22832,plain,
    ( product(bigC(a,c,product(c,a)),b) != product(bigC(a,a,product(b,c)),b)
    | product(product(bigC(a,c,product(c,a)),b),c) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(product(bigC(a,c,product(c,a)),b),c) = product(product(bigC(a,a,product(b,c)),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,a)),b),c),product(product(bigC(a,c,product(c,a)),b),c)) ),[1,0],$fot(product(bigC(a,a,product(b,c)),b))]]) ).

cnf(refute_0_22833,plain,
    ( product(bigC(a,c,product(c,a)),b) != product(bigC(a,a,product(b,c)),b)
    | product(product(bigC(a,c,product(c,a)),b),c) = product(product(bigC(a,a,product(b,c)),b),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,a)),b),c),product(product(bigC(a,c,product(c,a)),b),c)) )],[refute_0_22831,refute_0_22832]) ).

cnf(refute_0_22834,plain,
    product(product(bigC(a,c,product(c,a)),b),c) = product(product(bigC(a,a,product(b,c)),b),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,a)),b),product(bigC(a,a,product(b,c)),b)) )],[refute_0_22830,refute_0_22833]) ).

cnf(refute_0_22835,plain,
    ( product(c,bigC(b,c,bigC(a,b,b))) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(product(bigC(a,c,product(c,a)),b),c) != product(product(bigC(a,a,product(b,c)),b),c)
    | product(c,bigC(b,c,bigC(a,b,b))) = product(product(bigC(a,a,product(b,c)),b),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,bigC(b,c,bigC(a,b,b))),product(product(bigC(a,a,product(b,c)),b),c)) ),[0],$fot(product(product(bigC(a,c,product(c,a)),b),c))]]) ).

cnf(refute_0_22836,plain,
    ( product(c,bigC(b,c,bigC(a,b,b))) != product(product(bigC(a,c,product(c,a)),b),c)
    | product(c,bigC(b,c,bigC(a,b,b))) = product(product(bigC(a,a,product(b,c)),b),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,a)),b),c),product(product(bigC(a,a,product(b,c)),b),c)) )],[refute_0_22834,refute_0_22835]) ).

cnf(refute_0_22837,plain,
    product(c,bigC(b,c,bigC(a,b,b))) = product(product(bigC(a,a,product(b,c)),b),c),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,c,bigC(a,b,b))),product(product(bigC(a,c,product(c,a)),b),c)) )],[refute_0_22576,refute_0_22836]) ).

cnf(refute_0_22838,plain,
    ( product(c,bigC(b,c,bigC(a,b,b))) != product(product(bigC(a,a,product(b,c)),b),c)
    | product(product(bigC(a,a,product(b,c)),b),c) = product(c,bigC(b,c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,bigC(b,c,bigC(a,b,b))))),bind(Y,$fot(product(product(bigC(a,a,product(b,c)),b),c)))]]) ).

cnf(refute_0_22839,plain,
    product(product(bigC(a,a,product(b,c)),b),c) = product(c,bigC(b,c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(b,c,bigC(a,b,b))),product(product(bigC(a,a,product(b,c)),b),c)) )],[refute_0_22837,refute_0_22838]) ).

cnf(refute_0_22840,plain,
    ( product(product(bigC(a,a,product(b,c)),b),c) != product(c,bigC(b,c,bigC(a,b,b)))
    | product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)) != product(product(product(bigC(a,a,product(b,c)),b),c),product(B,D))
    | product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)) = product(product(c,bigC(b,c,bigC(a,b,b))),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)),product(product(product(bigC(a,a,product(b,c)),b),c),product(B,D))) ),[1,0],$fot(product(c,bigC(b,c,bigC(a,b,b))))]]) ).

cnf(refute_0_22841,plain,
    ( product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)) != product(product(product(bigC(a,a,product(b,c)),b),c),product(B,D))
    | product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)) = product(product(c,bigC(b,c,bigC(a,b,b))),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,product(b,c)),b),c),product(c,bigC(b,c,bigC(a,b,b)))) )],[refute_0_22839,refute_0_22840]) ).

cnf(refute_0_22842,plain,
    product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)) = product(product(c,bigC(b,c,bigC(a,b,b))),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),B),product(c,D)),product(product(product(bigC(a,a,product(b,c)),b),c),product(B,D))) )],[refute_0_21499,refute_0_22841]) ).

cnf(refute_0_22843,plain,
    product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),
    inference(subst,[],[refute_0_22842:[bind(B,$fot(c)),bind(D,$fot(product(c,product(a,quotient(b,bigC(b,b,c))))))]]) ).

cnf(refute_0_22844,plain,
    ( product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c))))))
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))))),bind(Y,$fot(product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))))),bind(Z,$fot(product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))))]]) ).

cnf(refute_0_22845,plain,
    ( product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c))))))) )],[refute_0_22843,refute_0_22844]) ).

cnf(refute_0_22846,plain,
    product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(b,c,bigC(a,b,b))),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))) )],[refute_0_21498,refute_0_22845]) ).

cnf(refute_0_22847,plain,
    ( product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))))),bind(Y,$fot(product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))))),bind(Z,$fot(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))]]) ).

cnf(refute_0_22848,plain,
    ( product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c))))))) )],[refute_0_22846,refute_0_22847]) ).

cnf(refute_0_22849,plain,
    product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) = product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(b,c,bigC(a,b,b)),product(c,product(a,quotient(b,bigC(b,b,c)))))),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) )],[refute_0_21497,refute_0_22848]) ).

cnf(refute_0_22850,plain,
    ( product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != c
    | product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))
    | product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),c) ),[0],$fot(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22851,plain,
    ( product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))) != c
    | product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) )],[refute_0_22849,refute_0_22850]) ).

cnf(refute_0_22852,plain,
    product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c,
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,product(b,c)),b),c),product(c,product(c,product(a,quotient(b,bigC(b,b,c)))))),c) )],[refute_0_20169,refute_0_22851]) ).

cnf(refute_0_22853,plain,
    ( product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(product(c,X_65),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(product(c,X_65),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(product(c,X_65),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_22854,plain,
    ( product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(product(c,X_65),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(product(c,X_65),c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) )],[refute_0_22852,refute_0_22853]) ).

cnf(refute_0_22855,plain,
    product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(product(c,X_65),c),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(product(c,X_65),product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_21,refute_0_22854]) ).

cnf(refute_0_22856,plain,
    product(product(c,X_65),c) = bigC(c,X_65,c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(X_65))]]) ).

cnf(refute_0_22857,plain,
    ( product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(product(c,X_65),c)
    | product(product(c,X_65),c) != bigC(c,X_65,c)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = bigC(c,X_65,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),bigC(c,X_65,c)) ),[0],$fot(product(product(c,X_65),c))]]) ).

cnf(refute_0_22858,plain,
    ( product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(product(c,X_65),c)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = bigC(c,X_65,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_65),c),bigC(c,X_65,c)) )],[refute_0_22856,refute_0_22857]) ).

cnf(refute_0_22859,plain,
    product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = bigC(c,X_65,c),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(product(c,X_65),c)) )],[refute_0_22855,refute_0_22858]) ).

cnf(refute_0_22860,plain,
    product(c,product(X_65,c)) = bigC(c,c,X_65),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(c)),bind(X_23,$fot(X_65))]]) ).

cnf(refute_0_22861,plain,
    product(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(subst,[],[sos07:[bind(A,$fot(c)),bind(B,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22862,plain,
    ( product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | product(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) ),[0,0,0],$fot(c)]]) ).

cnf(refute_0_22863,plain,
    ( product(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) )],[refute_0_22852,refute_0_22862]) ).

cnf(refute_0_22864,plain,
    product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_22861,refute_0_22863]) ).

cnf(refute_0_22865,plain,
    bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) = product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c),
    inference(subst,[],[refute_0_233:[bind(X_21,$fot(c)),bind(X_22,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22866,plain,
    ( bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) != product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c)
    | product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c),product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22867,plain,
    ( bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) != product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c)
    | bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) )],[refute_0_22852,refute_0_22866]) ).

cnf(refute_0_22868,plain,
    bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c),product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c)) )],[refute_0_22865,refute_0_22867]) ).

cnf(refute_0_22869,plain,
    bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) = bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22870,plain,
    ( bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) != bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))
    | bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) != product(c,c)
    | bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c),product(c,c)) ),[0],$fot(bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22871,plain,
    ( bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) != product(c,c)
    | bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = product(c,c) ),
    inference(resolve,[$cnf( $equal(bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c),bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) )],[refute_0_22869,refute_0_22870]) ).

cnf(refute_0_22872,plain,
    ( bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != product(c,c)
    | product(c,c) != c
    | bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) ),[0],$fot(product(c,c))]]) ).

cnf(refute_0_22873,plain,
    ( bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != product(c,c)
    | bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c ),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_22872]) ).

cnf(refute_0_22874,plain,
    ( bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) != product(c,c)
    | bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c ),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(c,c)) )],[refute_0_22871,refute_0_22873]) ).

cnf(refute_0_22875,plain,
    bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = c,
    inference(resolve,[$cnf( $equal(bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c),product(c,c)) )],[refute_0_22868,refute_0_22874]) ).

cnf(refute_0_22876,plain,
    product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))]]) ).

cnf(refute_0_22877,plain,
    ( bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_22878,plain,
    ( bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,c) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22876,refute_0_22877]) ).

cnf(refute_0_22879,plain,
    product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,c),
    inference(resolve,[$cnf( $equal(bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) )],[refute_0_22875,refute_0_22878]) ).

cnf(refute_0_22880,plain,
    ( product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,c)
    | product(c,c) != c
    | product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))),bind(Y,$fot(product(c,c))),bind(Z,$fot(c))]]) ).

cnf(refute_0_22881,plain,
    ( product(c,c) != c
    | product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = c ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,c)) )],[refute_0_22879,refute_0_22880]) ).

cnf(refute_0_22882,plain,
    product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = c,
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_22881]) ).

cnf(refute_0_22883,plain,
    difference(product(quotient(X_114,product(X_114,product(X_114,X_15))),X_114),X_114) = bigC(X_114,X_114,product(X_114,X_15)),
    inference(subst,[],[refute_0_791:[bind(B,$fot(product(X_114,X_15))),bind(X_34,$fot(X_114))]]) ).

cnf(refute_0_22884,plain,
    quotient(X_114,product(X_114,product(X_114,X_15))) = product(product(X_15,X_114),X_114),
    inference(subst,[],[refute_0_521:[bind(X_16,$fot(X_114))]]) ).

cnf(refute_0_22885,plain,
    ( difference(product(quotient(X_114,product(X_114,product(X_114,X_15))),X_114),X_114) != bigC(X_114,X_114,product(X_114,X_15))
    | quotient(X_114,product(X_114,product(X_114,X_15))) != product(product(X_15,X_114),X_114)
    | difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = bigC(X_114,X_114,product(X_114,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(quotient(X_114,product(X_114,product(X_114,X_15))),X_114),X_114),bigC(X_114,X_114,product(X_114,X_15))) ),[0,0,0],$fot(product(product(X_15,X_114),X_114))]]) ).

cnf(refute_0_22886,plain,
    ( difference(product(quotient(X_114,product(X_114,product(X_114,X_15))),X_114),X_114) != bigC(X_114,X_114,product(X_114,X_15))
    | difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = bigC(X_114,X_114,product(X_114,X_15)) ),
    inference(resolve,[$cnf( $equal(quotient(X_114,product(X_114,product(X_114,X_15))),product(product(X_15,X_114),X_114)) )],[refute_0_22884,refute_0_22885]) ).

cnf(refute_0_22887,plain,
    difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = bigC(X_114,X_114,product(X_114,X_15)),
    inference(resolve,[$cnf( $equal(difference(product(quotient(X_114,product(X_114,product(X_114,X_15))),X_114),X_114),bigC(X_114,X_114,product(X_114,X_15))) )],[refute_0_22883,refute_0_22886]) ).

cnf(refute_0_22888,plain,
    product(X_114,product(X_15,X_114)) = bigC(X_114,X_114,X_15),
    inference(subst,[],[refute_0_303:[bind(X_22,$fot(X_114)),bind(X_23,$fot(X_15))]]) ).

cnf(refute_0_22889,plain,
    product(X_114,product(X_114,product(X_15,X_114))) = product(X_114,product(X_114,product(X_15,X_114))),
    introduced(tautology,[refl,[$fot(product(X_114,product(X_114,product(X_15,X_114))))]]) ).

cnf(refute_0_22890,plain,
    ( product(X_114,product(X_114,product(X_15,X_114))) != product(X_114,product(X_114,product(X_15,X_114)))
    | product(X_114,product(X_15,X_114)) != bigC(X_114,X_114,X_15)
    | product(X_114,product(X_114,product(X_15,X_114))) = product(X_114,bigC(X_114,X_114,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_114,product(X_114,product(X_15,X_114))),product(X_114,product(X_114,product(X_15,X_114)))) ),[1,1],$fot(bigC(X_114,X_114,X_15))]]) ).

cnf(refute_0_22891,plain,
    ( product(X_114,product(X_15,X_114)) != bigC(X_114,X_114,X_15)
    | product(X_114,product(X_114,product(X_15,X_114))) = product(X_114,bigC(X_114,X_114,X_15)) ),
    inference(resolve,[$cnf( $equal(product(X_114,product(X_114,product(X_15,X_114))),product(X_114,product(X_114,product(X_15,X_114)))) )],[refute_0_22889,refute_0_22890]) ).

cnf(refute_0_22892,plain,
    product(X_114,product(X_114,product(X_15,X_114))) = product(X_114,bigC(X_114,X_114,X_15)),
    inference(resolve,[$cnf( $equal(product(X_114,product(X_15,X_114)),bigC(X_114,X_114,X_15)) )],[refute_0_22888,refute_0_22891]) ).

cnf(refute_0_22893,plain,
    difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = product(X_114,product(X_114,product(X_15,X_114))),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(product(X_15,X_114))),bind(X_16,$fot(X_114))]]) ).

cnf(refute_0_22894,plain,
    ( difference(product(product(product(X_15,X_114),X_114),X_114),X_114) != product(X_114,product(X_114,product(X_15,X_114)))
    | product(X_114,product(X_114,product(X_15,X_114))) != product(X_114,bigC(X_114,X_114,X_15))
    | difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = product(X_114,bigC(X_114,X_114,X_15)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(product(X_15,X_114),X_114),X_114),X_114))),bind(Y,$fot(product(X_114,product(X_114,product(X_15,X_114))))),bind(Z,$fot(product(X_114,bigC(X_114,X_114,X_15))))]]) ).

cnf(refute_0_22895,plain,
    ( product(X_114,product(X_114,product(X_15,X_114))) != product(X_114,bigC(X_114,X_114,X_15))
    | difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = product(X_114,bigC(X_114,X_114,X_15)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_15,X_114),X_114),X_114),X_114),product(X_114,product(X_114,product(X_15,X_114)))) )],[refute_0_22893,refute_0_22894]) ).

cnf(refute_0_22896,plain,
    difference(product(product(product(X_15,X_114),X_114),X_114),X_114) = product(X_114,bigC(X_114,X_114,X_15)),
    inference(resolve,[$cnf( $equal(product(X_114,product(X_114,product(X_15,X_114))),product(X_114,bigC(X_114,X_114,X_15))) )],[refute_0_22892,refute_0_22895]) ).

cnf(refute_0_22897,plain,
    ( difference(product(product(product(X_15,X_114),X_114),X_114),X_114) != bigC(X_114,X_114,product(X_114,X_15))
    | difference(product(product(product(X_15,X_114),X_114),X_114),X_114) != product(X_114,bigC(X_114,X_114,X_15))
    | product(X_114,bigC(X_114,X_114,X_15)) = bigC(X_114,X_114,product(X_114,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(X_15,X_114),X_114),X_114),X_114),bigC(X_114,X_114,product(X_114,X_15))) ),[0],$fot(product(X_114,bigC(X_114,X_114,X_15)))]]) ).

cnf(refute_0_22898,plain,
    ( difference(product(product(product(X_15,X_114),X_114),X_114),X_114) != bigC(X_114,X_114,product(X_114,X_15))
    | product(X_114,bigC(X_114,X_114,X_15)) = bigC(X_114,X_114,product(X_114,X_15)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_15,X_114),X_114),X_114),X_114),product(X_114,bigC(X_114,X_114,X_15))) )],[refute_0_22896,refute_0_22897]) ).

cnf(refute_0_22899,plain,
    bigC(X_114,X_114,product(X_114,X_15)) = product(X_114,bigC(X_114,X_15,X_114)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(X_15)),bind(X_83,$fot(X_114))]]) ).

cnf(refute_0_22900,plain,
    ( bigC(X_114,X_114,product(X_114,X_15)) != product(X_114,bigC(X_114,X_15,X_114))
    | product(X_114,bigC(X_114,X_114,X_15)) != bigC(X_114,X_114,product(X_114,X_15))
    | product(X_114,bigC(X_114,X_114,X_15)) = product(X_114,bigC(X_114,X_15,X_114)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_114,bigC(X_114,X_114,X_15)),bigC(X_114,X_114,product(X_114,X_15))) ),[1],$fot(product(X_114,bigC(X_114,X_15,X_114)))]]) ).

cnf(refute_0_22901,plain,
    ( product(X_114,bigC(X_114,X_114,X_15)) != bigC(X_114,X_114,product(X_114,X_15))
    | product(X_114,bigC(X_114,X_114,X_15)) = product(X_114,bigC(X_114,X_15,X_114)) ),
    inference(resolve,[$cnf( $equal(bigC(X_114,X_114,product(X_114,X_15)),product(X_114,bigC(X_114,X_15,X_114))) )],[refute_0_22899,refute_0_22900]) ).

cnf(refute_0_22902,plain,
    ( difference(product(product(product(X_15,X_114),X_114),X_114),X_114) != bigC(X_114,X_114,product(X_114,X_15))
    | product(X_114,bigC(X_114,X_114,X_15)) = product(X_114,bigC(X_114,X_15,X_114)) ),
    inference(resolve,[$cnf( $equal(product(X_114,bigC(X_114,X_114,X_15)),bigC(X_114,X_114,product(X_114,X_15))) )],[refute_0_22898,refute_0_22901]) ).

cnf(refute_0_22903,plain,
    product(X_114,bigC(X_114,X_114,X_15)) = product(X_114,bigC(X_114,X_15,X_114)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(X_15,X_114),X_114),X_114),X_114),bigC(X_114,X_114,product(X_114,X_15))) )],[refute_0_22887,refute_0_22902]) ).

cnf(refute_0_22904,plain,
    ( product(X_114,bigC(X_114,X_114,X_15)) != product(X_114,bigC(X_114,X_15,X_114))
    | product(X_114,bigC(X_114,X_15,X_114)) = product(X_114,bigC(X_114,X_114,X_15)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(X_114,bigC(X_114,X_114,X_15)))),bind(Y,$fot(product(X_114,bigC(X_114,X_15,X_114))))]]) ).

cnf(refute_0_22905,plain,
    product(X_114,bigC(X_114,X_15,X_114)) = product(X_114,bigC(X_114,X_114,X_15)),
    inference(resolve,[$cnf( $equal(product(X_114,bigC(X_114,X_114,X_15)),product(X_114,bigC(X_114,X_15,X_114))) )],[refute_0_22903,refute_0_22904]) ).

cnf(refute_0_22906,plain,
    product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(subst,[],[refute_0_22905:[bind(X_114,$fot(c)),bind(X_15,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22907,plain,
    bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),bind(X_83,$fot(c))]]) ).

cnf(refute_0_22908,plain,
    ( bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))
    | product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))),bind(Y,$fot(product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))),bind(Z,$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))))]]) ).

cnf(refute_0_22909,plain,
    ( product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) )],[refute_0_22907,refute_0_22908]) ).

cnf(refute_0_22910,plain,
    bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22906,refute_0_22909]) ).

cnf(refute_0_22911,plain,
    product(X_136,product(X_137,product(X_23,X_136))) = product(product(X_136,X_137),product(X_136,product(X_23,X_136))),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(X_136)),bind(X_65,$fot(X_137)),bind(X_66,$fot(product(X_23,X_136)))]]) ).

cnf(refute_0_22912,plain,
    bigC(X_136,X_136,X_23) = product(X_136,product(X_23,X_136)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(X_136))]]) ).

cnf(refute_0_22913,plain,
    ( bigC(X_136,X_136,X_23) != product(X_136,product(X_23,X_136))
    | product(X_136,product(X_23,X_136)) = bigC(X_136,X_136,X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(X_136,X_136,X_23))),bind(Y,$fot(product(X_136,product(X_23,X_136))))]]) ).

cnf(refute_0_22914,plain,
    product(X_136,product(X_23,X_136)) = bigC(X_136,X_136,X_23),
    inference(resolve,[$cnf( $equal(bigC(X_136,X_136,X_23),product(X_136,product(X_23,X_136))) )],[refute_0_22912,refute_0_22913]) ).

cnf(refute_0_22915,plain,
    ( product(X_136,product(X_137,product(X_23,X_136))) != product(product(X_136,X_137),product(X_136,product(X_23,X_136)))
    | product(X_136,product(X_23,X_136)) != bigC(X_136,X_136,X_23)
    | product(X_136,product(X_137,product(X_23,X_136))) = product(product(X_136,X_137),bigC(X_136,X_136,X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_136,product(X_137,product(X_23,X_136))),product(product(X_136,X_137),product(X_136,product(X_23,X_136)))) ),[1,1],$fot(bigC(X_136,X_136,X_23))]]) ).

cnf(refute_0_22916,plain,
    ( product(X_136,product(X_137,product(X_23,X_136))) != product(product(X_136,X_137),product(X_136,product(X_23,X_136)))
    | product(X_136,product(X_137,product(X_23,X_136))) = product(product(X_136,X_137),bigC(X_136,X_136,X_23)) ),
    inference(resolve,[$cnf( $equal(product(X_136,product(X_23,X_136)),bigC(X_136,X_136,X_23)) )],[refute_0_22914,refute_0_22915]) ).

cnf(refute_0_22917,plain,
    product(X_136,product(X_137,product(X_23,X_136))) = product(product(X_136,X_137),bigC(X_136,X_136,X_23)),
    inference(resolve,[$cnf( $equal(product(X_136,product(X_137,product(X_23,X_136))),product(product(X_136,X_137),product(X_136,product(X_23,X_136)))) )],[refute_0_22911,refute_0_22916]) ).

cnf(refute_0_22918,plain,
    product(product(X_136,X_137),bigC(X_136,X_136,X_23)) = bigC(X_136,X_137,product(X_136,X_23)),
    inference(subst,[],[refute_0_4015:[bind(X_21,$fot(X_136)),bind(X_22,$fot(X_137)),bind(X_86,$fot(X_23))]]) ).

cnf(refute_0_22919,plain,
    ( product(X_136,product(X_137,product(X_23,X_136))) != product(product(X_136,X_137),bigC(X_136,X_136,X_23))
    | product(product(X_136,X_137),bigC(X_136,X_136,X_23)) != bigC(X_136,X_137,product(X_136,X_23))
    | product(X_136,product(X_137,product(X_23,X_136))) = bigC(X_136,X_137,product(X_136,X_23)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(X_136,product(X_137,product(X_23,X_136))),bigC(X_136,X_137,product(X_136,X_23))) ),[0],$fot(product(product(X_136,X_137),bigC(X_136,X_136,X_23)))]]) ).

cnf(refute_0_22920,plain,
    ( product(X_136,product(X_137,product(X_23,X_136))) != product(product(X_136,X_137),bigC(X_136,X_136,X_23))
    | product(X_136,product(X_137,product(X_23,X_136))) = bigC(X_136,X_137,product(X_136,X_23)) ),
    inference(resolve,[$cnf( $equal(product(product(X_136,X_137),bigC(X_136,X_136,X_23)),bigC(X_136,X_137,product(X_136,X_23))) )],[refute_0_22918,refute_0_22919]) ).

cnf(refute_0_22921,plain,
    product(X_136,product(X_137,product(X_23,X_136))) = bigC(X_136,X_137,product(X_136,X_23)),
    inference(resolve,[$cnf( $equal(product(X_136,product(X_137,product(X_23,X_136))),product(product(X_136,X_137),bigC(X_136,X_136,X_23))) )],[refute_0_22917,refute_0_22920]) ).

cnf(refute_0_22922,plain,
    product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(subst,[],[refute_0_22921:[bind(X_136,$fot(c)),bind(X_137,$fot(c)),bind(X_23,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22923,plain,
    ( bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))))),bind(Y,$fot(bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))),bind(Z,$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))))]]) ).

cnf(refute_0_22924,plain,
    ( bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22922,refute_0_22923]) ).

cnf(refute_0_22925,plain,
    product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22910,refute_0_22924]) ).

cnf(refute_0_22926,plain,
    product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)) = product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(c,X_66)),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(c)),bind(X_65,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22927,plain,
    ( product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)) != product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(c,X_66))
    | product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)) = product(c,product(c,X_66)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)),product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(c,X_66))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22928,plain,
    ( product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)) != product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(c,X_66))
    | product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)) = product(c,product(c,X_66)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) )],[refute_0_22852,refute_0_22927]) ).

cnf(refute_0_22929,plain,
    product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)) = product(c,product(c,X_66)),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),X_66)),product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(c,X_66))) )],[refute_0_22926,refute_0_22928]) ).

cnf(refute_0_22930,plain,
    product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),
    inference(subst,[],[refute_0_22929:[bind(X_66,$fot(product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))]]) ).

cnf(refute_0_22931,plain,
    ( product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))
    | product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))))),bind(Y,$fot(product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))))),bind(Z,$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))))]]) ).

cnf(refute_0_22932,plain,
    ( product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))) )],[refute_0_22930,refute_0_22931]) ).

cnf(refute_0_22933,plain,
    product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22925,refute_0_22932]) ).

cnf(refute_0_22934,plain,
    product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)) = product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22935,plain,
    ( product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != c
    | product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)) != product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(B,D))
    | product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)) = product(c,product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)),product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(B,D))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22936,plain,
    ( product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)) != product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(B,D))
    | product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)) = product(c,product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),c) )],[refute_0_22852,refute_0_22935]) ).

cnf(refute_0_22937,plain,
    product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)) = product(c,product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),D)),product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(B,D))) )],[refute_0_22934,refute_0_22936]) ).

cnf(refute_0_22938,plain,
    product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),
    inference(subst,[],[refute_0_22937:[bind(B,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),bind(D,$fot(product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))]]) ).

cnf(refute_0_22939,plain,
    ( product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))))),bind(Y,$fot(product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))))),bind(Z,$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))))]]) ).

cnf(refute_0_22940,plain,
    ( product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c)))) )],[refute_0_22938,refute_0_22939]) ).

cnf(refute_0_22941,plain,
    product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    inference(resolve,[$cnf( $equal(product(c,product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22933,refute_0_22940]) ).

cnf(refute_0_22942,plain,
    ( product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != c
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = c ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))))),bind(Y,$fot(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))),bind(Z,$fot(c))]]) ).

cnf(refute_0_22943,plain,
    ( product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != c
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = c ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22941,refute_0_22942]) ).

cnf(refute_0_22944,plain,
    product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) = c,
    inference(resolve,[$cnf( $equal(product(c,bigC(c,c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),c) )],[refute_0_22882,refute_0_22943]) ).

cnf(refute_0_22945,plain,
    ( product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != c
    | c = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) ),[0],$fot(c)]]) ).

cnf(refute_0_22946,plain,
    ( product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))) != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | c = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) ),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),c) )],[refute_0_22944,refute_0_22945]) ).

cnf(refute_0_22947,plain,
    c = bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),
    inference(resolve,[$cnf( $equal(product(product(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),product(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c))),bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_22864,refute_0_22946]) ).

cnf(refute_0_22948,plain,
    ( c != bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))
    | bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) = c ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(c)),bind(Y,$fot(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22949,plain,
    bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) = c,
    inference(resolve,[$cnf( $equal(c,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) )],[refute_0_22947,refute_0_22948]) ).

cnf(refute_0_22950,plain,
    product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),
    introduced(tautology,[refl,[$fot(product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))]]) ).

cnf(refute_0_22951,plain,
    ( bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) != c
    | product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))
    | product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = product(X_65,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_22952,plain,
    ( bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))) != c
    | product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = product(X_65,c) ),
    inference(resolve,[$cnf( $equal(product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) )],[refute_0_22950,refute_0_22951]) ).

cnf(refute_0_22953,plain,
    product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) = product(X_65,c),
    inference(resolve,[$cnf( $equal(bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))),c) )],[refute_0_22949,refute_0_22952]) ).

cnf(refute_0_22954,plain,
    product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),
    introduced(tautology,[refl,[$fot(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))]]) ).

cnf(refute_0_22955,plain,
    ( product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != product(X_65,c)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,product(X_65,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) ),[1,1],$fot(product(X_65,c))]]) ).

cnf(refute_0_22956,plain,
    ( product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))) != product(X_65,c)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,product(X_65,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))))) )],[refute_0_22954,refute_0_22955]) ).

cnf(refute_0_22957,plain,
    product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = product(c,product(X_65,c)),
    inference(resolve,[$cnf( $equal(product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c)))),product(X_65,c)) )],[refute_0_22953,refute_0_22956]) ).

cnf(refute_0_22958,plain,
    ( product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != product(c,product(X_65,c))
    | product(c,product(X_65,c)) != bigC(c,c,X_65)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = bigC(c,c,X_65) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))))),bind(Y,$fot(product(c,product(X_65,c)))),bind(Z,$fot(bigC(c,c,X_65)))]]) ).

cnf(refute_0_22959,plain,
    ( product(c,product(X_65,c)) != bigC(c,c,X_65)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = bigC(c,c,X_65) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),product(c,product(X_65,c))) )],[refute_0_22957,refute_0_22958]) ).

cnf(refute_0_22960,plain,
    product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) = bigC(c,c,X_65),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,c)),bigC(c,c,X_65)) )],[refute_0_22860,refute_0_22959]) ).

cnf(refute_0_22961,plain,
    ( product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != bigC(c,X_65,c)
    | product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != bigC(c,c,X_65)
    | bigC(c,c,X_65) = bigC(c,X_65,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),bigC(c,X_65,c)) ),[0],$fot(bigC(c,c,X_65))]]) ).

cnf(refute_0_22962,plain,
    ( product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))) != bigC(c,X_65,c)
    | bigC(c,c,X_65) = bigC(c,X_65,c) ),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),bigC(c,c,X_65)) )],[refute_0_22960,refute_0_22961]) ).

cnf(refute_0_22963,plain,
    bigC(c,c,X_65) = bigC(c,X_65,c),
    inference(resolve,[$cnf( $equal(product(c,product(X_65,bigC(bigC(b,b,product(c,a)),a,bigC(b,b,product(a,c))))),bigC(c,X_65,c)) )],[refute_0_22859,refute_0_22962]) ).

cnf(refute_0_22964,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))),
    inference(subst,[],[refute_0_27:[bind(B,$fot(product(c,product(c,b)))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_22965,plain,
    difference(product(product(bigC(c,b,a),a),product(a,b)),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = product(X_37,product(bigC(c,b,a),a)),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(product(bigC(c,b,a),a))),bind(X_22,$fot(product(a,b))),bind(X_23,$fot(X_37))]]) ).

cnf(refute_0_22966,plain,
    ( difference(product(product(bigC(c,b,a),a),product(a,b)),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | product(product(bigC(c,b,a),a),product(a,b)) != product(a,c)
    | difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = product(X_37,product(bigC(c,b,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(bigC(c,b,a),a),product(a,b)),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),product(X_37,product(bigC(c,b,a),a))) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_22967,plain,
    ( difference(product(product(bigC(c,b,a),a),product(a,b)),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = product(X_37,product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,b,a),a),product(a,b)),product(a,c)) )],[refute_0_573,refute_0_22966]) ).

cnf(refute_0_22968,plain,
    difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = product(X_37,product(bigC(c,b,a),a)),
    inference(resolve,[$cnf( $equal(difference(product(product(bigC(c,b,a),a),product(a,b)),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),product(X_37,product(bigC(c,b,a),a))) )],[refute_0_22965,refute_0_22967]) ).

cnf(refute_0_22969,plain,
    bigC(product(bigC(c,b,a),a),product(a,b),X_37) = bigC(product(bigC(c,b,a),a),product(a,b),X_37),
    introduced(tautology,[refl,[$fot(bigC(product(bigC(c,b,a),a),product(a,b),X_37))]]) ).

cnf(refute_0_22970,plain,
    ( bigC(product(bigC(c,b,a),a),product(a,b),X_37) != bigC(product(bigC(c,b,a),a),product(a,b),X_37)
    | product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | bigC(product(bigC(c,b,a),a),product(a,b),X_37) = bigC(product(bigC(c,a,b),a),product(a,b),X_37) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(c,b,a),a),product(a,b),X_37),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) ),[1,0],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_22971,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | bigC(product(bigC(c,b,a),a),product(a,b),X_37) = bigC(product(bigC(c,a,b),a),product(a,b),X_37) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,b,a),a),product(a,b),X_37),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) )],[refute_0_22969,refute_0_22970]) ).

cnf(refute_0_22972,plain,
    bigC(product(bigC(c,b,a),a),product(a,b),X_37) = bigC(product(bigC(c,a,b),a),product(a,b),X_37),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_22971]) ).

cnf(refute_0_22973,plain,
    difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),
    introduced(tautology,[refl,[$fot(difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)))]]) ).

cnf(refute_0_22974,plain,
    ( bigC(product(bigC(c,b,a),a),product(a,b),X_37) != bigC(product(bigC(c,a,b),a),product(a,b),X_37)
    | difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37))
    | difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37))) ),[1,1],$fot(bigC(product(bigC(c,a,b),a),product(a,b),X_37))]]) ).

cnf(refute_0_22975,plain,
    ( bigC(product(bigC(c,b,a),a),product(a,b),X_37) != bigC(product(bigC(c,a,b),a),product(a,b),X_37)
    | difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37))) )],[refute_0_22973,refute_0_22974]) ).

cnf(refute_0_22976,plain,
    difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,b,a),a),product(a,b),X_37),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) )],[refute_0_22972,refute_0_22975]) ).

cnf(refute_0_22977,plain,
    ( difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37))
    | difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = product(X_37,product(bigC(c,b,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),product(X_37,product(bigC(c,b,a),a))) ),[0],$fot(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)))]]) ).

cnf(refute_0_22978,plain,
    ( difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = product(X_37,product(bigC(c,b,a),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37))) )],[refute_0_22976,refute_0_22977]) ).

cnf(refute_0_22979,plain,
    product(X_37,product(bigC(c,b,a),a)) = product(X_37,product(bigC(c,b,a),a)),
    introduced(tautology,[refl,[$fot(product(X_37,product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_22980,plain,
    ( product(X_37,product(bigC(c,b,a),a)) != product(X_37,product(bigC(c,b,a),a))
    | product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(X_37,product(bigC(c,b,a),a)) = product(X_37,product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_37,product(bigC(c,b,a),a)),product(X_37,product(bigC(c,b,a),a))) ),[1,1],$fot(product(bigC(c,a,b),a))]]) ).

cnf(refute_0_22981,plain,
    ( product(bigC(c,b,a),a) != product(bigC(c,a,b),a)
    | product(X_37,product(bigC(c,b,a),a)) = product(X_37,product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(X_37,product(bigC(c,b,a),a)),product(X_37,product(bigC(c,b,a),a))) )],[refute_0_22979,refute_0_22980]) ).

cnf(refute_0_22982,plain,
    product(X_37,product(bigC(c,b,a),a)) = product(X_37,product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,a),a),product(bigC(c,a,b),a)) )],[refute_0_577,refute_0_22981]) ).

cnf(refute_0_22983,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | product(X_37,product(bigC(c,b,a),a)) != product(X_37,product(bigC(c,a,b),a))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = product(X_37,product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),product(X_37,product(bigC(c,a,b),a))) ),[0],$fot(product(X_37,product(bigC(c,b,a),a)))]]) ).

cnf(refute_0_22984,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = product(X_37,product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(product(X_37,product(bigC(c,b,a),a)),product(X_37,product(bigC(c,a,b),a))) )],[refute_0_22982,refute_0_22983]) ).

cnf(refute_0_22985,plain,
    ( difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)) != product(X_37,product(bigC(c,b,a),a))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = product(X_37,product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),product(X_37,product(bigC(c,b,a),a))) )],[refute_0_22978,refute_0_22984]) ).

cnf(refute_0_22986,plain,
    difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = product(X_37,product(bigC(c,a,b),a)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,b,a),a),product(a,b),X_37)),product(X_37,product(bigC(c,b,a),a))) )],[refute_0_22968,refute_0_22985]) ).

cnf(refute_0_22987,plain,
    bigC(product(bigC(c,a,b),a),product(a,b),X_37) = bigC(product(bigC(c,a,b),a),product(a,b),X_37),
    introduced(tautology,[refl,[$fot(bigC(product(bigC(c,a,b),a),product(a,b),X_37))]]) ).

cnf(refute_0_22988,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),X_37) != bigC(product(bigC(c,a,b),a),product(a,b),X_37)
    | product(bigC(c,a,b),a) != product(c,a)
    | bigC(product(bigC(c,a,b),a),product(a,b),X_37) = bigC(product(c,a),product(a,b),X_37) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),X_37),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_22989,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | bigC(product(bigC(c,a,b),a),product(a,b),X_37) = bigC(product(c,a),product(a,b),X_37) ),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),X_37),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) )],[refute_0_22987,refute_0_22988]) ).

cnf(refute_0_22990,plain,
    bigC(product(bigC(c,a,b),a),product(a,b),X_37) = bigC(product(c,a),product(a,b),X_37),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_22989]) ).

cnf(refute_0_22991,plain,
    difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),
    introduced(tautology,[refl,[$fot(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)))]]) ).

cnf(refute_0_22992,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),X_37) != bigC(product(c,a),product(a,b),X_37)
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37))) ),[1,1],$fot(bigC(product(c,a),product(a,b),X_37))]]) ).

cnf(refute_0_22993,plain,
    ( bigC(product(bigC(c,a,b),a),product(a,b),X_37) != bigC(product(c,a),product(a,b),X_37)
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37))) )],[refute_0_22991,refute_0_22992]) ).

cnf(refute_0_22994,plain,
    difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) = difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),
    inference(resolve,[$cnf( $equal(bigC(product(bigC(c,a,b),a),product(a,b),X_37),bigC(product(c,a),product(a,b),X_37)) )],[refute_0_22990,refute_0_22993]) ).

cnf(refute_0_22995,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != difference(product(a,c),bigC(product(c,a),product(a,b),X_37))
    | difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != product(X_37,product(bigC(c,a,b),a))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = product(X_37,product(bigC(c,a,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),product(X_37,product(bigC(c,a,b),a))) ),[0],$fot(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)))]]) ).

cnf(refute_0_22996,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != product(X_37,product(bigC(c,a,b),a))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = product(X_37,product(bigC(c,a,b),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),difference(product(a,c),bigC(product(c,a),product(a,b),X_37))) )],[refute_0_22994,refute_0_22995]) ).

cnf(refute_0_22997,plain,
    product(X_37,product(bigC(c,a,b),a)) = product(X_37,product(bigC(c,a,b),a)),
    introduced(tautology,[refl,[$fot(product(X_37,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_22998,plain,
    ( product(X_37,product(bigC(c,a,b),a)) != product(X_37,product(bigC(c,a,b),a))
    | product(bigC(c,a,b),a) != product(c,a)
    | product(X_37,product(bigC(c,a,b),a)) = product(X_37,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(X_37,product(bigC(c,a,b),a)),product(X_37,product(bigC(c,a,b),a))) ),[1,1],$fot(product(c,a))]]) ).

cnf(refute_0_22999,plain,
    ( product(bigC(c,a,b),a) != product(c,a)
    | product(X_37,product(bigC(c,a,b),a)) = product(X_37,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(X_37,product(bigC(c,a,b),a)),product(X_37,product(bigC(c,a,b),a))) )],[refute_0_22997,refute_0_22998]) ).

cnf(refute_0_23000,plain,
    product(X_37,product(bigC(c,a,b),a)) = product(X_37,product(c,a)),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),a),product(c,a)) )],[refute_0_879,refute_0_22999]) ).

cnf(refute_0_23001,plain,
    ( difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) != product(X_37,product(bigC(c,a,b),a))
    | product(X_37,product(bigC(c,a,b),a)) != product(X_37,product(c,a))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = product(X_37,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),product(X_37,product(c,a))) ),[0],$fot(product(X_37,product(bigC(c,a,b),a)))]]) ).

cnf(refute_0_23002,plain,
    ( difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) != product(X_37,product(bigC(c,a,b),a))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = product(X_37,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(X_37,product(bigC(c,a,b),a)),product(X_37,product(c,a))) )],[refute_0_23000,refute_0_23001]) ).

cnf(refute_0_23003,plain,
    ( difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)) != product(X_37,product(bigC(c,a,b),a))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = product(X_37,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),product(X_37,product(bigC(c,a,b),a))) )],[refute_0_22996,refute_0_23002]) ).

cnf(refute_0_23004,plain,
    difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = product(X_37,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(bigC(c,a,b),a),product(a,b),X_37)),product(X_37,product(bigC(c,a,b),a))) )],[refute_0_22986,refute_0_23003]) ).

cnf(refute_0_23005,plain,
    bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b),X_23) = product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_23006,plain,
    ( bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b),X_23) != product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != product(c,a)
    | bigC(product(c,a),product(a,b),X_23) = product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b),X_23),product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))) ),[0,0],$fot(product(c,a))]]) ).

cnf(refute_0_23007,plain,
    ( bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b),X_23) != product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))
    | bigC(product(c,a),product(a,b),X_23) = product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) ),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(c,a)) )],[refute_0_15817,refute_0_23006]) ).

cnf(refute_0_23008,plain,
    bigC(product(c,a),product(a,b),X_23) = product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(a,b),X_23),product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))) )],[refute_0_23005,refute_0_23007]) ).

cnf(refute_0_23009,plain,
    bigC(product(c,a),X_22,quotient(c,product(c,a))) = product(product(product(c,a),X_22),c),
    inference(subst,[],[refute_0_356:[bind(A,$fot(c)),bind(X_21,$fot(product(c,a)))]]) ).

cnf(refute_0_23010,plain,
    ( bigC(product(c,a),X_22,quotient(c,product(c,a))) != product(product(product(c,a),X_22),c)
    | quotient(c,product(c,a)) != product(a,b)
    | bigC(product(c,a),X_22,product(a,b)) = product(product(product(c,a),X_22),c) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(c,a),X_22,quotient(c,product(c,a))),product(product(product(c,a),X_22),c)) ),[0,2],$fot(product(a,b))]]) ).

cnf(refute_0_23011,plain,
    ( bigC(product(c,a),X_22,quotient(c,product(c,a))) != product(product(product(c,a),X_22),c)
    | bigC(product(c,a),X_22,product(a,b)) = product(product(product(c,a),X_22),c) ),
    inference(resolve,[$cnf( $equal(quotient(c,product(c,a)),product(a,b)) )],[refute_0_1326,refute_0_23010]) ).

cnf(refute_0_23012,plain,
    bigC(product(c,a),X_22,product(a,b)) = product(product(product(c,a),X_22),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_22,quotient(c,product(c,a))),product(product(product(c,a),X_22),c)) )],[refute_0_23009,refute_0_23011]) ).

cnf(refute_0_23013,plain,
    bigC(product(c,a),X_23,product(a,b)) = product(product(product(c,a),X_23),c),
    inference(subst,[],[refute_0_23012:[bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_23014,plain,
    bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)),
    introduced(tautology,[refl,[$fot(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)))]]) ).

cnf(refute_0_23015,plain,
    ( bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) != bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b))
    | quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != product(c,a)
    | bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = bigC(product(c,a),X_23,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)),bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b))) ),[1,0],$fot(product(c,a))]]) ).

cnf(refute_0_23016,plain,
    ( quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)) != product(c,a)
    | bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = bigC(product(c,a),X_23,product(a,b)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)),bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b))) )],[refute_0_23014,refute_0_23015]) ).

cnf(refute_0_23017,plain,
    bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = bigC(product(c,a),X_23,product(a,b)),
    inference(resolve,[$cnf( $equal(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),product(c,a)) )],[refute_0_15817,refute_0_23016]) ).

cnf(refute_0_23018,plain,
    ( bigC(product(c,a),X_23,product(a,b)) != product(product(product(c,a),X_23),c)
    | bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) != bigC(product(c,a),X_23,product(a,b))
    | bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = product(product(product(c,a),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)))),bind(Y,$fot(bigC(product(c,a),X_23,product(a,b)))),bind(Z,$fot(product(product(product(c,a),X_23),c)))]]) ).

cnf(refute_0_23019,plain,
    ( bigC(product(c,a),X_23,product(a,b)) != product(product(product(c,a),X_23),c)
    | bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = product(product(product(c,a),X_23),c) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)),bigC(product(c,a),X_23,product(a,b))) )],[refute_0_23017,refute_0_23018]) ).

cnf(refute_0_23020,plain,
    bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) = product(product(product(c,a),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),X_23,product(a,b)),product(product(product(c,a),X_23),c)) )],[refute_0_23013,refute_0_23019]) ).

cnf(refute_0_23021,plain,
    product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) = bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))))),bind(X_22,$fot(product(a,b)))]]) ).

cnf(refute_0_23022,plain,
    ( bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) != product(product(product(c,a),X_23),c)
    | product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) != bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b))
    | product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) = product(product(product(c,a),X_23),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))))),bind(Y,$fot(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)))),bind(Z,$fot(product(product(product(c,a),X_23),c)))]]) ).

cnf(refute_0_23023,plain,
    ( bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)) != product(product(product(c,a),X_23),c)
    | product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) = product(product(product(c,a),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))),bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b))) )],[refute_0_23021,refute_0_23022]) ).

cnf(refute_0_23024,plain,
    product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) = product(product(product(c,a),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)),X_23,product(a,b)),product(product(product(c,a),X_23),c)) )],[refute_0_23020,refute_0_23023]) ).

cnf(refute_0_23025,plain,
    ( bigC(product(c,a),product(a,b),X_23) != product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))
    | product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))) != product(product(product(c,a),X_23),c)
    | bigC(product(c,a),product(a,b),X_23) = product(product(product(c,a),X_23),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(c,a),product(a,b),X_23),product(product(product(c,a),X_23),c)) ),[0],$fot(product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))))]]) ).

cnf(refute_0_23026,plain,
    ( bigC(product(c,a),product(a,b),X_23) != product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))
    | bigC(product(c,a),product(a,b),X_23) = product(product(product(c,a),X_23),c) ),
    inference(resolve,[$cnf( $equal(product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b)))),product(product(product(c,a),X_23),c)) )],[refute_0_23024,refute_0_23025]) ).

cnf(refute_0_23027,plain,
    bigC(product(c,a),product(a,b),X_23) = product(product(product(c,a),X_23),c),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,b),X_23),product(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(X_23,quotient(quotient(product(a,b),difference(product(a,b),product(product(a,c),b))),product(a,b))))) )],[refute_0_23008,refute_0_23026]) ).

cnf(refute_0_23028,plain,
    bigC(product(c,a),product(a,b),X_37) = product(product(product(c,a),X_37),c),
    inference(subst,[],[refute_0_23027:[bind(X_23,$fot(X_37))]]) ).

cnf(refute_0_23029,plain,
    difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),
    introduced(tautology,[refl,[$fot(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)))]]) ).

cnf(refute_0_23030,plain,
    ( bigC(product(c,a),product(a,b),X_37) != product(product(product(c,a),X_37),c)
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) != difference(product(a,c),bigC(product(c,a),product(a,b),X_37))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = difference(product(a,c),product(product(product(c,a),X_37),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),difference(product(a,c),bigC(product(c,a),product(a,b),X_37))) ),[1,1],$fot(product(product(product(c,a),X_37),c))]]) ).

cnf(refute_0_23031,plain,
    ( bigC(product(c,a),product(a,b),X_37) != product(product(product(c,a),X_37),c)
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = difference(product(a,c),product(product(product(c,a),X_37),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),difference(product(a,c),bigC(product(c,a),product(a,b),X_37))) )],[refute_0_23029,refute_0_23030]) ).

cnf(refute_0_23032,plain,
    difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) = difference(product(a,c),product(product(product(c,a),X_37),c)),
    inference(resolve,[$cnf( $equal(bigC(product(c,a),product(a,b),X_37),product(product(product(c,a),X_37),c)) )],[refute_0_23028,refute_0_23031]) ).

cnf(refute_0_23033,plain,
    ( difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) != difference(product(a,c),product(product(product(c,a),X_37),c))
    | difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) != product(X_37,product(c,a))
    | difference(product(a,c),product(product(product(c,a),X_37),c)) = product(X_37,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),product(X_37,product(c,a))) ),[0],$fot(difference(product(a,c),product(product(product(c,a),X_37),c)))]]) ).

cnf(refute_0_23034,plain,
    ( difference(product(a,c),bigC(product(c,a),product(a,b),X_37)) != product(X_37,product(c,a))
    | difference(product(a,c),product(product(product(c,a),X_37),c)) = product(X_37,product(c,a)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),difference(product(a,c),product(product(product(c,a),X_37),c))) )],[refute_0_23032,refute_0_23033]) ).

cnf(refute_0_23035,plain,
    difference(product(a,c),product(product(product(c,a),X_37),c)) = product(X_37,product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(product(c,a),product(a,b),X_37)),product(X_37,product(c,a))) )],[refute_0_23004,refute_0_23034]) ).

cnf(refute_0_23036,plain,
    difference(product(a,c),product(product(product(c,a),difference(product(c,a),B)),c)) = product(difference(product(c,a),B),product(c,a)),
    inference(subst,[],[refute_0_23035:[bind(X_37,$fot(difference(product(c,a),B)))]]) ).

cnf(refute_0_23037,plain,
    product(product(c,a),difference(product(c,a),B)) = B,
    inference(subst,[],[sos02:[bind(A,$fot(product(c,a)))]]) ).

cnf(refute_0_23038,plain,
    ( difference(product(a,c),product(product(product(c,a),difference(product(c,a),B)),c)) != product(difference(product(c,a),B),product(c,a))
    | product(product(c,a),difference(product(c,a),B)) != B
    | difference(product(a,c),product(B,c)) = product(difference(product(c,a),B),product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(product(c,a),difference(product(c,a),B)),c)),product(difference(product(c,a),B),product(c,a))) ),[0,1,0],$fot(B)]]) ).

cnf(refute_0_23039,plain,
    ( difference(product(a,c),product(product(product(c,a),difference(product(c,a),B)),c)) != product(difference(product(c,a),B),product(c,a))
    | difference(product(a,c),product(B,c)) = product(difference(product(c,a),B),product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,a),difference(product(c,a),B)),B) )],[refute_0_23037,refute_0_23038]) ).

cnf(refute_0_23040,plain,
    difference(product(a,c),product(B,c)) = product(difference(product(c,a),B),product(c,a)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(product(c,a),difference(product(c,a),B)),c)),product(difference(product(c,a),B),product(c,a))) )],[refute_0_23036,refute_0_23039]) ).

cnf(refute_0_23041,plain,
    product(difference(product(c,a),B),product(c,a)) = difference(product(c,a),product(B,product(c,a))),
    inference(subst,[],[refute_0_819:[bind(X_74,$fot(product(c,a)))]]) ).

cnf(refute_0_23042,plain,
    ( difference(product(a,c),product(B,c)) != product(difference(product(c,a),B),product(c,a))
    | product(difference(product(c,a),B),product(c,a)) != difference(product(c,a),product(B,product(c,a)))
    | difference(product(a,c),product(B,c)) = difference(product(c,a),product(B,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),product(B,c)),difference(product(c,a),product(B,product(c,a)))) ),[0],$fot(product(difference(product(c,a),B),product(c,a)))]]) ).

cnf(refute_0_23043,plain,
    ( difference(product(a,c),product(B,c)) != product(difference(product(c,a),B),product(c,a))
    | difference(product(a,c),product(B,c)) = difference(product(c,a),product(B,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(difference(product(c,a),B),product(c,a)),difference(product(c,a),product(B,product(c,a)))) )],[refute_0_23041,refute_0_23042]) ).

cnf(refute_0_23044,plain,
    difference(product(a,c),product(B,c)) = difference(product(c,a),product(B,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(B,c)),product(difference(product(c,a),B),product(c,a))) )],[refute_0_23040,refute_0_23043]) ).

cnf(refute_0_23045,plain,
    difference(product(a,c),product(product(a,b),c)) = difference(product(c,a),product(product(a,b),product(c,a))),
    inference(subst,[],[refute_0_23044:[bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_23046,plain,
    ( difference(product(a,c),product(product(a,b),c)) != difference(product(c,a),product(product(a,b),product(c,a)))
    | product(product(a,b),c) != product(c,product(c,b))
    | difference(product(a,c),product(c,product(c,b))) = difference(product(c,a),product(product(a,b),product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(a,b),c)),difference(product(c,a),product(product(a,b),product(c,a)))) ),[0,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_23047,plain,
    ( difference(product(a,c),product(product(a,b),c)) != difference(product(c,a),product(product(a,b),product(c,a)))
    | difference(product(a,c),product(c,product(c,b))) = difference(product(c,a),product(product(a,b),product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),c),product(c,product(c,b))) )],[refute_0_1173,refute_0_23046]) ).

cnf(refute_0_23048,plain,
    difference(product(a,c),product(c,product(c,b))) = difference(product(c,a),product(product(a,b),product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,b),c)),difference(product(c,a),product(product(a,b),product(c,a)))) )],[refute_0_23045,refute_0_23047]) ).

cnf(refute_0_23049,plain,
    difference(product(c,quotient(product(a,b),c)),bigC(c,quotient(product(a,b),c),X_23)) = product(X_23,c),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(c)),bind(X_22,$fot(quotient(product(a,b),c)))]]) ).

cnf(refute_0_23050,plain,
    ( difference(product(c,quotient(product(a,b),c)),bigC(c,quotient(product(a,b),c),X_23)) != product(X_23,c)
    | product(c,quotient(product(a,b),c)) != product(a,c)
    | difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = product(X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(c,quotient(product(a,b),c)),bigC(c,quotient(product(a,b),c),X_23)),product(X_23,c)) ),[0,0],$fot(product(a,c))]]) ).

cnf(refute_0_23051,plain,
    ( difference(product(c,quotient(product(a,b),c)),bigC(c,quotient(product(a,b),c),X_23)) != product(X_23,c)
    | difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = product(X_23,c) ),
    inference(resolve,[$cnf( $equal(product(c,quotient(product(a,b),c)),product(a,c)) )],[refute_0_8152,refute_0_23050]) ).

cnf(refute_0_23052,plain,
    difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = product(X_23,c),
    inference(resolve,[$cnf( $equal(difference(product(c,quotient(product(a,b),c)),bigC(c,quotient(product(a,b),c),X_23)),product(X_23,c)) )],[refute_0_23049,refute_0_23051]) ).

cnf(refute_0_23053,plain,
    bigC(c,quotient(product(a,b),c),X_23) = product(product(c,X_23),product(a,b)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(a,b))),bind(X_21,$fot(c)),bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_23054,plain,
    difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)),
    introduced(tautology,[refl,[$fot(difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)))]]) ).

cnf(refute_0_23055,plain,
    ( bigC(c,quotient(product(a,b),c),X_23) != product(product(c,X_23),product(a,b))
    | difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) != difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23))
    | difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = difference(product(a,c),product(product(c,X_23),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)),difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23))) ),[1,1],$fot(product(product(c,X_23),product(a,b)))]]) ).

cnf(refute_0_23056,plain,
    ( bigC(c,quotient(product(a,b),c),X_23) != product(product(c,X_23),product(a,b))
    | difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = difference(product(a,c),product(product(c,X_23),product(a,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)),difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23))) )],[refute_0_23054,refute_0_23055]) ).

cnf(refute_0_23057,plain,
    difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) = difference(product(a,c),product(product(c,X_23),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,quotient(product(a,b),c),X_23),product(product(c,X_23),product(a,b))) )],[refute_0_23053,refute_0_23056]) ).

cnf(refute_0_23058,plain,
    ( difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) != difference(product(a,c),product(product(c,X_23),product(a,b)))
    | difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) != product(X_23,c)
    | difference(product(a,c),product(product(c,X_23),product(a,b))) = product(X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)),product(X_23,c)) ),[0],$fot(difference(product(a,c),product(product(c,X_23),product(a,b))))]]) ).

cnf(refute_0_23059,plain,
    ( difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)) != product(X_23,c)
    | difference(product(a,c),product(product(c,X_23),product(a,b))) = product(X_23,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)),difference(product(a,c),product(product(c,X_23),product(a,b)))) )],[refute_0_23057,refute_0_23058]) ).

cnf(refute_0_23060,plain,
    difference(product(a,c),product(product(c,X_23),product(a,b))) = product(X_23,c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),bigC(c,quotient(product(a,b),c),X_23)),product(X_23,c)) )],[refute_0_23052,refute_0_23059]) ).

cnf(refute_0_23061,plain,
    product(product(c,X_23),product(a,b)) = product(product(a,X_23),c),
    inference(subst,[],[refute_0_8189:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_23062,plain,
    difference(product(a,c),product(product(c,X_23),product(a,b))) = difference(product(a,c),product(product(c,X_23),product(a,b))),
    introduced(tautology,[refl,[$fot(difference(product(a,c),product(product(c,X_23),product(a,b))))]]) ).

cnf(refute_0_23063,plain,
    ( difference(product(a,c),product(product(c,X_23),product(a,b))) != difference(product(a,c),product(product(c,X_23),product(a,b)))
    | product(product(c,X_23),product(a,b)) != product(product(a,X_23),c)
    | difference(product(a,c),product(product(c,X_23),product(a,b))) = difference(product(a,c),product(product(a,X_23),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(c,X_23),product(a,b))),difference(product(a,c),product(product(c,X_23),product(a,b)))) ),[1,1],$fot(product(product(a,X_23),c))]]) ).

cnf(refute_0_23064,plain,
    ( product(product(c,X_23),product(a,b)) != product(product(a,X_23),c)
    | difference(product(a,c),product(product(c,X_23),product(a,b))) = difference(product(a,c),product(product(a,X_23),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(c,X_23),product(a,b))),difference(product(a,c),product(product(c,X_23),product(a,b)))) )],[refute_0_23062,refute_0_23063]) ).

cnf(refute_0_23065,plain,
    difference(product(a,c),product(product(c,X_23),product(a,b))) = difference(product(a,c),product(product(a,X_23),c)),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),product(a,b)),product(product(a,X_23),c)) )],[refute_0_23061,refute_0_23064]) ).

cnf(refute_0_23066,plain,
    ( difference(product(a,c),product(product(c,X_23),product(a,b))) != difference(product(a,c),product(product(a,X_23),c))
    | difference(product(a,c),product(product(c,X_23),product(a,b))) != product(X_23,c)
    | difference(product(a,c),product(product(a,X_23),c)) = product(X_23,c) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(a,c),product(product(c,X_23),product(a,b))),product(X_23,c)) ),[0],$fot(difference(product(a,c),product(product(a,X_23),c)))]]) ).

cnf(refute_0_23067,plain,
    ( difference(product(a,c),product(product(c,X_23),product(a,b))) != product(X_23,c)
    | difference(product(a,c),product(product(a,X_23),c)) = product(X_23,c) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(c,X_23),product(a,b))),difference(product(a,c),product(product(a,X_23),c))) )],[refute_0_23065,refute_0_23066]) ).

cnf(refute_0_23068,plain,
    difference(product(a,c),product(product(a,X_23),c)) = product(X_23,c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(c,X_23),product(a,b))),product(X_23,c)) )],[refute_0_23060,refute_0_23067]) ).

cnf(refute_0_23069,plain,
    difference(product(a,c),product(product(a,b),c)) = product(b,c),
    inference(subst,[],[refute_0_23068:[bind(X_23,$fot(b))]]) ).

cnf(refute_0_23070,plain,
    ( difference(product(a,c),product(B,c)) != difference(product(c,a),product(B,product(c,a)))
    | difference(product(c,a),product(B,product(c,a))) = difference(product(a,c),product(B,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(difference(product(a,c),product(B,c)))),bind(Y,$fot(difference(product(c,a),product(B,product(c,a)))))]]) ).

cnf(refute_0_23071,plain,
    difference(product(c,a),product(B,product(c,a))) = difference(product(a,c),product(B,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(B,c)),difference(product(c,a),product(B,product(c,a)))) )],[refute_0_23044,refute_0_23070]) ).

cnf(refute_0_23072,plain,
    difference(product(c,a),product(product(a,b),product(c,a))) = difference(product(a,c),product(product(a,b),c)),
    inference(subst,[],[refute_0_23071:[bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_23073,plain,
    ( difference(product(a,c),product(product(a,b),c)) != product(b,c)
    | difference(product(c,a),product(product(a,b),product(c,a))) != difference(product(a,c),product(product(a,b),c))
    | difference(product(c,a),product(product(a,b),product(c,a))) = product(b,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(c,a),product(product(a,b),product(c,a))))),bind(Y,$fot(difference(product(a,c),product(product(a,b),c)))),bind(Z,$fot(product(b,c)))]]) ).

cnf(refute_0_23074,plain,
    ( difference(product(a,c),product(product(a,b),c)) != product(b,c)
    | difference(product(c,a),product(product(a,b),product(c,a))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(a,b),product(c,a))),difference(product(a,c),product(product(a,b),c))) )],[refute_0_23072,refute_0_23073]) ).

cnf(refute_0_23075,plain,
    difference(product(c,a),product(product(a,b),product(c,a))) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(product(a,b),c)),product(b,c)) )],[refute_0_23069,refute_0_23074]) ).

cnf(refute_0_23076,plain,
    ( difference(product(a,c),product(c,product(c,b))) != difference(product(c,a),product(product(a,b),product(c,a)))
    | difference(product(c,a),product(product(a,b),product(c,a))) != product(b,c)
    | difference(product(a,c),product(c,product(c,b))) = product(b,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) ),[0],$fot(difference(product(c,a),product(product(a,b),product(c,a))))]]) ).

cnf(refute_0_23077,plain,
    ( difference(product(a,c),product(c,product(c,b))) != difference(product(c,a),product(product(a,b),product(c,a)))
    | difference(product(a,c),product(c,product(c,b))) = product(b,c) ),
    inference(resolve,[$cnf( $equal(difference(product(c,a),product(product(a,b),product(c,a))),product(b,c)) )],[refute_0_23075,refute_0_23076]) ).

cnf(refute_0_23078,plain,
    difference(product(a,c),product(c,product(c,b))) = product(b,c),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),difference(product(c,a),product(product(a,b),product(c,a)))) )],[refute_0_23048,refute_0_23077]) ).

cnf(refute_0_23079,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(product(b,c),X_22,product(a,c)) = product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) ),[0,0],$fot(product(b,c))]]) ).

cnf(refute_0_23080,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(product(b,c),X_22,product(a,c)) = product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) )],[refute_0_23078,refute_0_23079]) ).

cnf(refute_0_23081,plain,
    bigC(product(b,c),X_22,product(a,c)) = product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_22964,refute_0_23080]) ).

cnf(refute_0_23082,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = product(product(product(b,c),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) ),[1,0,0],$fot(product(b,c))]]) ).

cnf(refute_0_23083,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = product(product(product(b,c),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) )],[refute_0_23078,refute_0_23082]) ).

cnf(refute_0_23084,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = product(product(product(b,c),X_22),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_22964,refute_0_23083]) ).

cnf(refute_0_23085,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)))]]) ).

cnf(refute_0_23086,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c))
    | difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = bigC(product(b,c),X_22,product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c))) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_23087,plain,
    ( difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = bigC(product(b,c),X_22,product(a,c)) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c))) )],[refute_0_23085,refute_0_23086]) ).

cnf(refute_0_23088,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) = bigC(product(b,c),X_22,product(a,c)),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) )],[refute_0_23078,refute_0_23087]) ).

cnf(refute_0_23089,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != bigC(product(b,c),X_22,product(a,c))
    | bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(product(b,c),X_22),product(c,product(c,b)))
    | bigC(product(b,c),X_22,product(a,c)) = product(product(product(b,c),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),product(product(product(b,c),X_22),product(c,product(c,b)))) ),[0],$fot(bigC(product(b,c),X_22,product(a,c)))]]) ).

cnf(refute_0_23090,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(product(b,c),X_22),product(c,product(c,b)))
    | bigC(product(b,c),X_22,product(a,c)) = product(product(product(b,c),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),bigC(product(b,c),X_22,product(a,c))) )],[refute_0_23088,refute_0_23089]) ).

cnf(refute_0_23091,plain,
    bigC(b,X_22,a) = bigC(a,X_22,b),
    inference(subst,[],[refute_0_18483:[bind(B,$fot(X_22))]]) ).

cnf(refute_0_23092,plain,
    product(product(b,X_22),product(a,b)) = bigC(b,X_22,a),
    inference(subst,[],[refute_0_8:[bind(A,$fot(b)),bind(B,$fot(X_22)),bind(C,$fot(a))]]) ).

cnf(refute_0_23093,plain,
    ( bigC(b,X_22,a) != bigC(a,X_22,b)
    | product(product(b,X_22),product(a,b)) != bigC(b,X_22,a)
    | product(product(b,X_22),product(a,b)) = bigC(a,X_22,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,X_22),product(a,b)))),bind(Y,$fot(bigC(b,X_22,a))),bind(Z,$fot(bigC(a,X_22,b)))]]) ).

cnf(refute_0_23094,plain,
    ( bigC(b,X_22,a) != bigC(a,X_22,b)
    | product(product(b,X_22),product(a,b)) = bigC(a,X_22,b) ),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),product(a,b)),bigC(b,X_22,a)) )],[refute_0_23092,refute_0_23093]) ).

cnf(refute_0_23095,plain,
    product(product(b,X_22),product(a,b)) = bigC(a,X_22,b),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,a),bigC(a,X_22,b)) )],[refute_0_23091,refute_0_23094]) ).

cnf(refute_0_23096,plain,
    product(product(b,product(a,c)),product(X_22,product(c,b))) = product(product(b,X_22),product(a,b)),
    inference(subst,[],[refute_0_5159:[bind(X_63,$fot(b)),bind(X_64,$fot(X_22))]]) ).

cnf(refute_0_23097,plain,
    ( product(product(b,X_22),product(a,b)) != bigC(a,X_22,b)
    | product(product(b,product(a,c)),product(X_22,product(c,b))) != product(product(b,X_22),product(a,b))
    | product(product(b,product(a,c)),product(X_22,product(c,b))) = bigC(a,X_22,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(a,c)),product(X_22,product(c,b))))),bind(Y,$fot(product(product(b,X_22),product(a,b)))),bind(Z,$fot(bigC(a,X_22,b)))]]) ).

cnf(refute_0_23098,plain,
    ( product(product(b,X_22),product(a,b)) != bigC(a,X_22,b)
    | product(product(b,product(a,c)),product(X_22,product(c,b))) = bigC(a,X_22,b) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_22,product(c,b))),product(product(b,X_22),product(a,b))) )],[refute_0_23096,refute_0_23097]) ).

cnf(refute_0_23099,plain,
    product(product(b,product(a,c)),product(X_22,product(c,b))) = bigC(a,X_22,b),
    inference(resolve,[$cnf( $equal(product(product(b,X_22),product(a,b)),bigC(a,X_22,b)) )],[refute_0_23095,refute_0_23098]) ).

cnf(refute_0_23100,plain,
    product(product(product(b,c),X_22),product(c,product(c,b))) = product(product(b,product(a,c)),product(X_22,product(c,b))),
    inference(subst,[],[refute_0_12096:[bind(B,$fot(X_22)),bind(D,$fot(product(c,b)))]]) ).

cnf(refute_0_23101,plain,
    ( product(product(b,product(a,c)),product(X_22,product(c,b))) != bigC(a,X_22,b)
    | product(product(product(b,c),X_22),product(c,product(c,b))) != product(product(b,product(a,c)),product(X_22,product(c,b)))
    | product(product(product(b,c),X_22),product(c,product(c,b))) = bigC(a,X_22,b) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),X_22),product(c,product(c,b))))),bind(Y,$fot(product(product(b,product(a,c)),product(X_22,product(c,b))))),bind(Z,$fot(bigC(a,X_22,b)))]]) ).

cnf(refute_0_23102,plain,
    ( product(product(b,product(a,c)),product(X_22,product(c,b))) != bigC(a,X_22,b)
    | product(product(product(b,c),X_22),product(c,product(c,b))) = bigC(a,X_22,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_22),product(c,product(c,b))),product(product(b,product(a,c)),product(X_22,product(c,b)))) )],[refute_0_23100,refute_0_23101]) ).

cnf(refute_0_23103,plain,
    product(product(product(b,c),X_22),product(c,product(c,b))) = bigC(a,X_22,b),
    inference(resolve,[$cnf( $equal(product(product(b,product(a,c)),product(X_22,product(c,b))),bigC(a,X_22,b)) )],[refute_0_23099,refute_0_23102]) ).

cnf(refute_0_23104,plain,
    ( bigC(product(b,c),X_22,product(a,c)) != product(product(product(b,c),X_22),product(c,product(c,b)))
    | product(product(product(b,c),X_22),product(c,product(c,b))) != bigC(a,X_22,b)
    | bigC(product(b,c),X_22,product(a,c)) = bigC(a,X_22,b) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),X_22,product(a,c)),bigC(a,X_22,b)) ),[0],$fot(product(product(product(b,c),X_22),product(c,product(c,b))))]]) ).

cnf(refute_0_23105,plain,
    ( bigC(product(b,c),X_22,product(a,c)) != product(product(product(b,c),X_22),product(c,product(c,b)))
    | bigC(product(b,c),X_22,product(a,c)) = bigC(a,X_22,b) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),X_22),product(c,product(c,b))),bigC(a,X_22,b)) )],[refute_0_23103,refute_0_23104]) ).

cnf(refute_0_23106,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)) != product(product(product(b,c),X_22),product(c,product(c,b)))
    | bigC(product(b,c),X_22,product(a,c)) = bigC(a,X_22,b) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,product(a,c)),product(product(product(b,c),X_22),product(c,product(c,b)))) )],[refute_0_23090,refute_0_23105]) ).

cnf(refute_0_23107,plain,
    bigC(product(b,c),X_22,product(a,c)) = bigC(a,X_22,b),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),X_22,product(a,c)),product(product(product(b,c),X_22),product(c,product(c,b)))) )],[refute_0_23084,refute_0_23106]) ).

cnf(refute_0_23108,plain,
    ( bigC(product(b,c),X_22,product(a,c)) != bigC(a,X_22,b)
    | bigC(product(b,c),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(a,X_22,b) = product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),X_22,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) ),[0],$fot(bigC(a,X_22,b))]]) ).

cnf(refute_0_23109,plain,
    ( bigC(product(b,c),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(a,X_22,b) = product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,product(a,c)),bigC(a,X_22,b)) )],[refute_0_23107,refute_0_23108]) ).

cnf(refute_0_23110,plain,
    bigC(product(b,c),difference(product(b,c),product(c,product(c,a))),X_23) = product(product(c,product(c,a)),product(X_23,product(b,c))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(product(c,product(c,a)))),bind(X_21,$fot(product(b,c)))]]) ).

cnf(refute_0_23111,plain,
    difference(product(b,c),bigC(b,c,quotient(a,c))) = product(quotient(a,c),b),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(b)),bind(X_22,$fot(c)),bind(X_23,$fot(quotient(a,c)))]]) ).

cnf(refute_0_23112,plain,
    product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) = product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)),
    inference(subst,[],[refute_0_20:[bind(X_64,$fot(product(b,product(bigC(a,a,b),c)))),bind(X_65,$fot(product(bigC(a,a,c),a))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23113,plain,
    bigC(c,product(a,b),product(c,product(c,a))) = product(product(c,product(c,a)),product(product(c,product(c,a)),b)),
    inference(subst,[],[refute_0_12545:[bind(X_22,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_23114,plain,
    ( bigC(c,product(a,b),product(c,product(c,a))) != product(product(c,product(c,a)),product(product(c,product(c,a)),b))
    | product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = bigC(c,product(a,b),product(c,product(c,a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(a,b),product(c,product(c,a))))),bind(Y,$fot(product(product(c,product(c,a)),product(product(c,product(c,a)),b))))]]) ).

cnf(refute_0_23115,plain,
    product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = bigC(c,product(a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) )],[refute_0_23113,refute_0_23114]) ).

cnf(refute_0_23116,plain,
    ( product(product(c,product(c,a)),product(product(c,product(c,a)),b)) != bigC(c,product(a,b),product(c,product(c,a)))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) != product(c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))),product(c,product(c,a))) ),[0,1],$fot(bigC(c,product(a,b),product(c,product(c,a))))]]) ).

cnf(refute_0_23117,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) != product(c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(c,product(c,a)),b)),bigC(c,product(a,b),product(c,product(c,a)))) )],[refute_0_23115,refute_0_23116]) ).

cnf(refute_0_23118,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))),product(c,product(c,a))) )],[refute_0_4624,refute_0_23117]) ).

cnf(refute_0_23119,plain,
    product(product(A,product(bigC(a,a,b),c)),product(C,c)) = product(product(A,C),product(product(bigC(a,a,b),c),c)),
    inference(subst,[],[sos05:[bind(B,$fot(product(bigC(a,a,b),c))),bind(D,$fot(c))]]) ).

cnf(refute_0_23120,plain,
    bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(c,product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(c)),bind(X_23,$fot(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_23121,plain,
    product(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(bigC(a,a,c),c),c)) = bigC(a,b,product(a,b)),
    inference(subst,[],[sos04:[bind(A,$fot(bigC(a,b,product(a,b)))),bind(B,$fot(product(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_23122,plain,
    quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = product(product(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)),
    inference(subst,[],[refute_0_753:[bind(B,$fot(product(product(a,c),c))),bind(X_18,$fot(product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_23123,plain,
    difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(a,c),c),product(product(product(a,c),c),quotient(product(product(a,b),c),product(product(a,c),c)))),
    inference(subst,[],[refute_0_1369:[bind(X_19,$fot(product(product(a,b),c))),bind(X_20,$fot(product(product(a,c),c)))]]) ).

cnf(refute_0_23124,plain,
    quotient(product(product(a,product(b,c)),bigC(c,b,c)),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))) = product(product(a,b),product(c,b)),
    inference(subst,[],[refute_0_362:[bind(B,$fot(product(product(a,product(b,c)),bigC(c,b,c)))),bind(X_6,$fot(product(product(a,b),product(c,b))))]]) ).

cnf(refute_0_23125,plain,
    ( difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))) != product(product(a,c),c)
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))) != product(product(a,b),product(c,b))
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = product(product(a,b),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))),product(product(a,b),product(c,b))) ),[0,1],$fot(product(product(a,c),c))]]) ).

cnf(refute_0_23126,plain,
    ( quotient(product(product(a,product(b,c)),bigC(c,b,c)),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))) != product(product(a,b),product(c,b))
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = product(product(a,b),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c))),product(product(a,c),c)) )],[refute_0_9273,refute_0_23125]) ).

cnf(refute_0_23127,plain,
    quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = product(product(a,b),product(c,b)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),difference(product(product(a,b),product(c,b)),product(product(a,product(b,c)),bigC(c,b,c)))),product(product(a,b),product(c,b))) )],[refute_0_23124,refute_0_23126]) ).

cnf(refute_0_23128,plain,
    ( product(product(a,b),product(c,b)) != product(product(a,c),b)
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) != product(product(a,b),product(c,b))
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),product(product(a,b),product(c,b))) ),[1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_23129,plain,
    ( quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) != product(product(a,b),product(c,b))
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),product(c,b)),product(product(a,c),b)) )],[refute_0_207,refute_0_23128]) ).

cnf(refute_0_23130,plain,
    quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),product(product(a,b),product(c,b))) )],[refute_0_23127,refute_0_23129]) ).

cnf(refute_0_23131,plain,
    quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)))]]) ).

cnf(refute_0_23132,plain,
    ( product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) != quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c))
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = quotient(product(product(a,b),c),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c))) ),[1,0],$fot(product(product(a,b),c))]]) ).

cnf(refute_0_23133,plain,
    ( product(product(a,product(b,c)),bigC(c,b,c)) != product(product(a,b),c)
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = quotient(product(product(a,b),c),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c))) )],[refute_0_23131,refute_0_23132]) ).

cnf(refute_0_23134,plain,
    quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) = quotient(product(product(a,b),c),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,b),c)) )],[refute_0_10997,refute_0_23133]) ).

cnf(refute_0_23135,plain,
    ( quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) != product(product(a,c),b)
    | quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) != quotient(product(product(a,b),c),product(product(a,c),c))
    | quotient(product(product(a,b),c),product(product(a,c),c)) = product(product(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),product(product(a,c),b)) ),[0],$fot(quotient(product(product(a,b),c),product(product(a,c),c)))]]) ).

cnf(refute_0_23136,plain,
    ( quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)) != product(product(a,c),b)
    | quotient(product(product(a,b),c),product(product(a,c),c)) = product(product(a,c),b) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),quotient(product(product(a,b),c),product(product(a,c),c))) )],[refute_0_23134,refute_0_23135]) ).

cnf(refute_0_23137,plain,
    quotient(product(product(a,b),c),product(product(a,c),c)) = product(product(a,c),b),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),bigC(c,b,c)),product(product(a,c),c)),product(product(a,c),b)) )],[refute_0_23130,refute_0_23136]) ).

cnf(refute_0_23138,plain,
    ( difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),quotient(product(product(a,b),c),product(product(a,c),c))))
    | quotient(product(product(a,b),c),product(product(a,c),c)) != product(product(a,c),b)
    | difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),quotient(product(product(a,b),c),product(product(a,c),c))))) ),[1,1,1],$fot(product(product(a,c),b))]]) ).

cnf(refute_0_23139,plain,
    ( difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),quotient(product(product(a,b),c),product(product(a,c),c))))
    | difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),b)) )],[refute_0_23137,refute_0_23138]) ).

cnf(refute_0_23140,plain,
    difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),quotient(product(product(a,b),c),product(product(a,c),c))))) )],[refute_0_23123,refute_0_23139]) ).

cnf(refute_0_23141,plain,
    product(product(product(a,a),product(b,c)),c) = product(product(product(a,a),product(b,c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(b,c)),c))]]) ).

cnf(refute_0_23142,plain,
    ( product(product(a,a),product(b,c)) != product(a,product(b,c))
    | product(product(product(a,a),product(b,c)),c) != product(product(product(a,a),product(b,c)),c)
    | product(product(product(a,a),product(b,c)),c) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(b,c)),c),product(product(product(a,a),product(b,c)),c)) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_23143,plain,
    ( product(product(a,a),product(b,c)) != product(a,product(b,c))
    | product(product(product(a,a),product(b,c)),c) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(b,c)),c),product(product(product(a,a),product(b,c)),c)) )],[refute_0_23141,refute_0_23142]) ).

cnf(refute_0_23144,plain,
    product(product(product(a,a),product(b,c)),c) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(b,c)),product(a,product(b,c))) )],[refute_0_104,refute_0_23143]) ).

cnf(refute_0_23145,plain,
    product(product(product(a,b),product(a,c)),c) = product(product(product(a,a),product(b,c)),c),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(c)),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23146,plain,
    product(product(product(a,b),c),product(product(a,c),c)) = product(product(product(a,b),product(a,c)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,b))),bind(X_64,$fot(product(a,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23147,plain,
    ( product(product(product(a,b),c),product(product(a,c),c)) != product(product(product(a,b),product(a,c)),c)
    | product(product(product(a,b),product(a,c)),c) != product(product(product(a,a),product(b,c)),c)
    | product(product(product(a,b),c),product(product(a,c),c)) = product(product(product(a,a),product(b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),product(product(a,c),c)))),bind(Y,$fot(product(product(product(a,b),product(a,c)),c))),bind(Z,$fot(product(product(product(a,a),product(b,c)),c)))]]) ).

cnf(refute_0_23148,plain,
    ( product(product(product(a,b),product(a,c)),c) != product(product(product(a,a),product(b,c)),c)
    | product(product(product(a,b),c),product(product(a,c),c)) = product(product(product(a,a),product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(product(a,c),c)),product(product(product(a,b),product(a,c)),c)) )],[refute_0_23146,refute_0_23147]) ).

cnf(refute_0_23149,plain,
    product(product(product(a,b),c),product(product(a,c),c)) = product(product(product(a,a),product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),product(a,c)),c),product(product(product(a,a),product(b,c)),c)) )],[refute_0_23145,refute_0_23148]) ).

cnf(refute_0_23150,plain,
    ( product(product(product(a,a),product(b,c)),c) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),c),product(product(a,c),c)) != product(product(product(a,a),product(b,c)),c)
    | product(product(product(a,b),c),product(product(a,c),c)) = product(product(a,product(b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,b),c),product(product(a,c),c)))),bind(Y,$fot(product(product(product(a,a),product(b,c)),c))),bind(Z,$fot(product(product(a,product(b,c)),c)))]]) ).

cnf(refute_0_23151,plain,
    ( product(product(product(a,a),product(b,c)),c) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),c),product(product(a,c),c)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(product(a,c),c)),product(product(product(a,a),product(b,c)),c)) )],[refute_0_23149,refute_0_23150]) ).

cnf(refute_0_23152,plain,
    product(product(product(a,b),c),product(product(a,c),c)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(b,c)),c),product(product(a,product(b,c)),c)) )],[refute_0_23144,refute_0_23151]) ).

cnf(refute_0_23153,plain,
    difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),
    introduced(tautology,[refl,[$fot(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)))]]) ).

cnf(refute_0_23154,plain,
    ( difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c))
    | product(product(product(a,b),c),product(product(a,c),c)) != product(product(a,product(b,c)),c)
    | difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = difference(product(product(a,product(b,c)),c),product(product(a,c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_23155,plain,
    ( product(product(product(a,b),c),product(product(a,c),c)) != product(product(a,product(b,c)),c)
    | difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = difference(product(product(a,product(b,c)),c),product(product(a,c),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c))) )],[refute_0_23153,refute_0_23154]) ).

cnf(refute_0_23156,plain,
    difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) = difference(product(product(a,product(b,c)),c),product(product(a,c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,product(b,c)),c)) )],[refute_0_23152,refute_0_23155]) ).

cnf(refute_0_23157,plain,
    ( difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != difference(product(product(a,product(b,c)),c),product(product(a,c),c))
    | difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))
    | difference(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))) ),[0],$fot(difference(product(product(a,product(b,c)),c),product(product(a,c),c)))]]) ).

cnf(refute_0_23158,plain,
    ( difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))
    | difference(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),difference(product(product(a,product(b,c)),c),product(product(a,c),c))) )],[refute_0_23156,refute_0_23157]) ).

cnf(refute_0_23159,plain,
    product(product(product(a,c),a),product(c,b)) = product(product(product(a,c),a),product(c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),a),product(c,b)))]]) ).

cnf(refute_0_23160,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),product(c,b)) != product(product(product(a,c),a),product(c,b))
    | product(product(product(a,c),a),product(c,b)) = product(bigC(a,a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),a),product(c,b)),product(product(product(a,c),a),product(c,b))) ),[1,0],$fot(bigC(a,a,c))]]) ).

cnf(refute_0_23161,plain,
    ( product(product(a,c),a) != bigC(a,a,c)
    | product(product(product(a,c),a),product(c,b)) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(c,b)),product(product(product(a,c),a),product(c,b))) )],[refute_0_23159,refute_0_23160]) ).

cnf(refute_0_23162,plain,
    product(product(product(a,c),a),product(c,b)) = product(bigC(a,a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),a),bigC(a,a,c)) )],[refute_0_380,refute_0_23161]) ).

cnf(refute_0_23163,plain,
    product(product(product(a,c),c),product(a,b)) = product(product(product(a,c),a),product(c,b)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(a,c))),bind(B,$fot(a)),bind(C,$fot(c)),bind(D,$fot(b))]]) ).

cnf(refute_0_23164,plain,
    ( product(product(product(a,c),a),product(c,b)) != product(bigC(a,a,c),product(c,b))
    | product(product(product(a,c),c),product(a,b)) != product(product(product(a,c),a),product(c,b))
    | product(product(product(a,c),c),product(a,b)) = product(bigC(a,a,c),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),product(a,b)))),bind(Y,$fot(product(product(product(a,c),a),product(c,b)))),bind(Z,$fot(product(bigC(a,a,c),product(c,b))))]]) ).

cnf(refute_0_23165,plain,
    ( product(product(product(a,c),a),product(c,b)) != product(bigC(a,a,c),product(c,b))
    | product(product(product(a,c),c),product(a,b)) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(a,b)),product(product(product(a,c),a),product(c,b))) )],[refute_0_23163,refute_0_23164]) ).

cnf(refute_0_23166,plain,
    product(product(product(a,c),c),product(a,b)) = product(bigC(a,a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),a),product(c,b)),product(bigC(a,a,c),product(c,b))) )],[refute_0_23162,refute_0_23165]) ).

cnf(refute_0_23167,plain,
    product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))))]]) ).

cnf(refute_0_23168,plain,
    ( product(product(product(a,c),c),product(product(a,c),b)) != product(a,b)
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) != product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(product(product(a,c),c),product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))),product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))) ),[1,1],$fot(product(a,b))]]) ).

cnf(refute_0_23169,plain,
    ( product(product(product(a,c),c),product(product(a,c),b)) != product(a,b)
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(product(product(a,c),c),product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))),product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))) )],[refute_0_23167,refute_0_23168]) ).

cnf(refute_0_23170,plain,
    product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(product(product(a,c),c),product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(a,c),b)),product(a,b)) )],[refute_0_7327,refute_0_23169]) ).

cnf(refute_0_23171,plain,
    ( product(product(product(a,c),c),product(a,b)) != product(bigC(a,a,c),product(c,b))
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) != product(product(product(a,c),c),product(a,b))
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(bigC(a,a,c),product(c,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))))),bind(Y,$fot(product(product(product(a,c),c),product(a,b)))),bind(Z,$fot(product(bigC(a,a,c),product(c,b))))]]) ).

cnf(refute_0_23172,plain,
    ( product(product(product(a,c),c),product(a,b)) != product(bigC(a,a,c),product(c,b))
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))),product(product(product(a,c),c),product(a,b))) )],[refute_0_23170,refute_0_23171]) ).

cnf(refute_0_23173,plain,
    product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) = product(bigC(a,a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(a,b)),product(bigC(a,a,c),product(c,b))) )],[refute_0_23166,refute_0_23172]) ).

cnf(refute_0_23174,plain,
    ( difference(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))
    | product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))) != product(bigC(a,a,c),product(c,b))
    | difference(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(bigC(a,a,c),product(c,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(bigC(a,a,c),product(c,b))) ),[0],$fot(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))))]]) ).

cnf(refute_0_23175,plain,
    ( difference(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))
    | difference(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b))),product(bigC(a,a,c),product(c,b))) )],[refute_0_23173,refute_0_23174]) ).

cnf(refute_0_23176,plain,
    ( difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)) != product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))
    | difference(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(bigC(a,a,c),product(c,b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))) )],[refute_0_23158,refute_0_23175]) ).

cnf(refute_0_23177,plain,
    difference(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(bigC(a,a,c),product(c,b)),
    inference(resolve,[$cnf( $equal(difference(product(product(product(a,b),c),product(product(a,c),c)),product(product(a,c),c)),product(product(product(a,c),c),product(product(product(a,c),c),product(product(a,c),b)))) )],[refute_0_23140,refute_0_23176]) ).

cnf(refute_0_23178,plain,
    ( difference(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(bigC(a,a,c),product(c,b))
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != product(product(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),product(product(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))) ),[1,0,0],$fot(product(bigC(a,a,c),product(c,b)))]]) ).

cnf(refute_0_23179,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != product(product(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(bigC(a,a,c),product(c,b))) )],[refute_0_23177,refute_0_23178]) ).

cnf(refute_0_23180,plain,
    quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),product(product(difference(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))) )],[refute_0_23122,refute_0_23179]) ).

cnf(refute_0_23181,plain,
    product(product(product(a,a),product(product(b,c),c)),c) = product(product(product(a,a),product(product(b,c),c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,a),product(product(b,c),c)),c))]]) ).

cnf(refute_0_23182,plain,
    ( product(product(a,a),product(product(b,c),c)) != product(a,product(product(b,c),c))
    | product(product(product(a,a),product(product(b,c),c)),c) != product(product(product(a,a),product(product(b,c),c)),c)
    | product(product(product(a,a),product(product(b,c),c)),c) = product(product(a,product(product(b,c),c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,a),product(product(b,c),c)),c),product(product(product(a,a),product(product(b,c),c)),c)) ),[1,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_23183,plain,
    ( product(product(a,a),product(product(b,c),c)) != product(a,product(product(b,c),c))
    | product(product(product(a,a),product(product(b,c),c)),c) = product(product(a,product(product(b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(b,c),c)),c),product(product(product(a,a),product(product(b,c),c)),c)) )],[refute_0_23181,refute_0_23182]) ).

cnf(refute_0_23184,plain,
    product(product(product(a,a),product(product(b,c),c)),c) = product(product(a,product(product(b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(a,a),product(product(b,c),c)),product(a,product(product(b,c),c))) )],[refute_0_2691,refute_0_23183]) ).

cnf(refute_0_23185,plain,
    product(product(product(a,product(b,c)),product(a,c)),c) = product(product(product(a,a),product(product(b,c),c)),c),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(c)),bind(X_63,$fot(a)),bind(X_64,$fot(a)),bind(X_65,$fot(product(b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23186,plain,
    product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(product(a,product(b,c)),product(a,c)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,product(b,c)))),bind(X_64,$fot(product(a,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23187,plain,
    ( product(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(product(product(a,product(b,c)),product(a,c)),c)
    | product(product(product(a,product(b,c)),product(a,c)),c) != product(product(product(a,a),product(product(b,c),c)),c)
    | product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(product(a,a),product(product(b,c),c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),c),product(product(a,c),c)))),bind(Y,$fot(product(product(product(a,product(b,c)),product(a,c)),c))),bind(Z,$fot(product(product(product(a,a),product(product(b,c),c)),c)))]]) ).

cnf(refute_0_23188,plain,
    ( product(product(product(a,product(b,c)),product(a,c)),c) != product(product(product(a,a),product(product(b,c),c)),c)
    | product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(product(a,a),product(product(b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(product(a,product(b,c)),product(a,c)),c)) )],[refute_0_23186,refute_0_23187]) ).

cnf(refute_0_23189,plain,
    product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(product(a,a),product(product(b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),product(a,c)),c),product(product(product(a,a),product(product(b,c),c)),c)) )],[refute_0_23185,refute_0_23188]) ).

cnf(refute_0_23190,plain,
    ( product(product(product(a,a),product(product(b,c),c)),c) != product(product(a,product(product(b,c),c)),c)
    | product(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(product(product(a,a),product(product(b,c),c)),c)
    | product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(a,product(product(b,c),c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,product(b,c)),c),product(product(a,c),c)))),bind(Y,$fot(product(product(product(a,a),product(product(b,c),c)),c))),bind(Z,$fot(product(product(a,product(product(b,c),c)),c)))]]) ).

cnf(refute_0_23191,plain,
    ( product(product(product(a,a),product(product(b,c),c)),c) != product(product(a,product(product(b,c),c)),c)
    | product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(a,product(product(b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(product(a,a),product(product(b,c),c)),c)) )],[refute_0_23189,refute_0_23190]) ).

cnf(refute_0_23192,plain,
    product(product(product(a,product(b,c)),c),product(product(a,c),c)) = product(product(a,product(product(b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,a),product(product(b,c),c)),c),product(product(a,product(product(b,c),c)),c)) )],[refute_0_23184,refute_0_23191]) ).

cnf(refute_0_23193,plain,
    quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))))]]) ).

cnf(refute_0_23194,plain,
    ( product(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(product(a,product(product(b,c),c)),c)
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c)))
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c)))) ),[1,1],$fot(product(product(a,product(product(b,c),c)),c))]]) ).

cnf(refute_0_23195,plain,
    ( product(product(product(a,product(b,c)),c),product(product(a,c),c)) != product(product(a,product(product(b,c),c)),c)
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c)))) )],[refute_0_23193,refute_0_23194]) ).

cnf(refute_0_23196,plain,
    quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) = quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(product(a,c),c)),product(product(a,product(product(b,c),c)),c)) )],[refute_0_23192,refute_0_23195]) ).

cnf(refute_0_23197,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))) ),[0],$fot(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)))]]) ).

cnf(refute_0_23198,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c))) )],[refute_0_23196,refute_0_23197]) ).

cnf(refute_0_23199,plain,
    product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) = product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))))]]) ).

cnf(refute_0_23200,plain,
    ( product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) != product(product(bigC(a,a,c),a),product(product(c,b),product(b,c)))
    | product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) = product(product(bigC(a,a,c),a),bigC(c,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(bigC(a,a,c),a),product(product(c,b),product(b,c)))) ),[1,1],$fot(bigC(c,b,b))]]) ).

cnf(refute_0_23201,plain,
    ( product(product(c,b),product(b,c)) != bigC(c,b,b)
    | product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) = product(product(bigC(a,a,c),a),bigC(c,b,b)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(bigC(a,a,c),a),product(product(c,b),product(b,c)))) )],[refute_0_23199,refute_0_23200]) ).

cnf(refute_0_23202,plain,
    product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) = product(product(bigC(a,a,c),a),bigC(c,b,b)),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(b,c)),bigC(c,b,b)) )],[refute_0_3217,refute_0_23201]) ).

cnf(refute_0_23203,plain,
    product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)))]]) ).

cnf(refute_0_23204,plain,
    ( product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) != product(product(bigC(a,a,c),a),bigC(c,b,b))
    | product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c))
    | product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c))) ),[1,0],$fot(product(product(bigC(a,a,c),a),bigC(c,b,b)))]]) ).

cnf(refute_0_23205,plain,
    ( product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))) != product(product(bigC(a,a,c),a),bigC(c,b,b))
    | product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23203,refute_0_23204]) ).

cnf(refute_0_23206,plain,
    product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(bigC(a,a,c),a),bigC(c,b,b))) )],[refute_0_23202,refute_0_23205]) ).

cnf(refute_0_23207,plain,
    product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) = product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)),
    inference(subst,[],[refute_0_5695:[bind(B,$fot(product(product(a,product(b,c)),c))),bind(D,$fot(c)),bind(X_63,$fot(bigC(a,a,c))),bind(X_64,$fot(product(c,b))),bind(X_65,$fot(a)),bind(X_66,$fot(product(b,c)))]]) ).

cnf(refute_0_23208,plain,
    ( product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) != product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c))
    | product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)))),bind(Y,$fot(product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)))),bind(Z,$fot(product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))))]]) ).

cnf(refute_0_23209,plain,
    ( product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)),product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23207,refute_0_23208]) ).

cnf(refute_0_23210,plain,
    product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),product(product(c,b),product(b,c))),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23206,refute_0_23209]) ).

cnf(refute_0_23211,plain,
    ( product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) != product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))) ),[1],$fot(product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)))]]) ).

cnf(refute_0_23212,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) != product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23210,refute_0_23211]) ).

cnf(refute_0_23213,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))) != product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))) )],[refute_0_23198,refute_0_23212]) ).

cnf(refute_0_23214,plain,
    quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(product(a,product(b,c)),c),product(product(a,c),c))),product(product(product(bigC(a,a,c),product(c,b)),product(product(a,product(b,c)),c)),product(product(a,product(b,c)),c))) )],[refute_0_23180,refute_0_23213]) ).

cnf(refute_0_23215,plain,
    product(product(a,product(product(b,c),c)),c) = product(product(a,product(product(b,c),c)),c),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(b,c),c)),c))]]) ).

cnf(refute_0_23216,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | product(product(a,product(product(b,c),c)),c) != product(product(a,product(product(b,c),c)),c)
    | product(product(a,product(product(b,c),c)),c) = product(product(bigC(a,a,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(b,c),c)),c),product(product(a,product(product(b,c),c)),c)) ),[1,0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_23217,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | product(product(a,product(product(b,c),c)),c) = product(product(bigC(a,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),c),product(product(a,product(product(b,c),c)),c)) )],[refute_0_23215,refute_0_23216]) ).

cnf(refute_0_23218,plain,
    product(product(a,product(product(b,c),c)),c) = product(product(bigC(a,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_23217]) ).

cnf(refute_0_23219,plain,
    quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)))]]) ).

cnf(refute_0_23220,plain,
    ( product(product(a,product(product(b,c),c)),c) != product(product(bigC(a,a,c),c),c)
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) != quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c))) ),[1,1],$fot(product(product(bigC(a,a,c),c),c))]]) ).

cnf(refute_0_23221,plain,
    ( product(product(a,product(product(b,c),c)),c) != product(product(bigC(a,a,c),c),c)
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c))) )],[refute_0_23219,refute_0_23220]) ).

cnf(refute_0_23222,plain,
    quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) = quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),c),product(product(bigC(a,a,c),c),c)) )],[refute_0_23218,refute_0_23221]) ).

cnf(refute_0_23223,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) != quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) ),[0],$fot(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_23224,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c))) )],[refute_0_23222,refute_0_23223]) ).

cnf(refute_0_23225,plain,
    quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(a,product(product(b,c),c)),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23214,refute_0_23224]) ).

cnf(refute_0_23226,plain,
    product(product(bigC(a,a,c),a),bigC(c,b,b)) = product(product(bigC(a,a,c),a),bigC(c,b,b)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),a),bigC(c,b,b)))]]) ).

cnf(refute_0_23227,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(bigC(a,a,c),a),bigC(c,b,b)) != product(product(bigC(a,a,c),a),bigC(c,b,b))
    | product(product(bigC(a,a,c),a),bigC(c,b,b)) = product(product(bigC(a,a,c),a),bigC(b,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(bigC(a,a,c),a),bigC(c,b,b))) ),[1,1],$fot(bigC(b,b,c))]]) ).

cnf(refute_0_23228,plain,
    ( bigC(c,b,b) != bigC(b,b,c)
    | product(product(bigC(a,a,c),a),bigC(c,b,b)) = product(product(bigC(a,a,c),a),bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(bigC(a,a,c),a),bigC(c,b,b))) )],[refute_0_23226,refute_0_23227]) ).

cnf(refute_0_23229,plain,
    product(product(bigC(a,a,c),a),bigC(c,b,b)) = product(product(bigC(a,a,c),a),bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,b,b),bigC(b,b,c)) )],[refute_0_3368,refute_0_23228]) ).

cnf(refute_0_23230,plain,
    product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)))]]) ).

cnf(refute_0_23231,plain,
    ( product(product(bigC(a,a,c),a),bigC(c,b,b)) != product(product(bigC(a,a,c),a),bigC(b,b,c))
    | product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) ),[1,0],$fot(product(product(bigC(a,a,c),a),bigC(b,b,c)))]]) ).

cnf(refute_0_23232,plain,
    ( product(product(bigC(a,a,c),a),bigC(c,b,b)) != product(product(bigC(a,a,c),a),bigC(b,b,c))
    | product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23230,refute_0_23231]) ).

cnf(refute_0_23233,plain,
    product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(bigC(a,a,c),a),bigC(b,b,c))) )],[refute_0_23229,refute_0_23232]) ).

cnf(refute_0_23234,plain,
    ( product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) ),[1],$fot(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)))]]) ).

cnf(refute_0_23235,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23233,refute_0_23234]) ).

cnf(refute_0_23236,plain,
    quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(c,b,b)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23225,refute_0_23235]) ).

cnf(refute_0_23237,plain,
    quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),
    introduced(tautology,[refl,[$fot(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_23238,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23239,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c))) )],[refute_0_23237,refute_0_23238]) ).

cnf(refute_0_23240,plain,
    quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) = quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_23239]) ).

cnf(refute_0_23241,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) ),[0],$fot(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)))]]) ).

cnf(refute_0_23242,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c))) )],[refute_0_23240,refute_0_23241]) ).

cnf(refute_0_23243,plain,
    product(product(product(a,product(b,c)),c),c) = product(product(product(a,product(b,c)),c),c),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),c),c))]]) ).

cnf(refute_0_23244,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(product(a,product(b,c)),c),c) != product(product(product(a,product(b,c)),c),c)
    | product(product(product(a,product(b,c)),c),c) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),c),c),product(product(product(a,product(b,c)),c),c)) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23245,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(product(a,product(b,c)),c),c) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),c),product(product(product(a,product(b,c)),c),c)) )],[refute_0_23243,refute_0_23244]) ).

cnf(refute_0_23246,plain,
    product(product(product(a,product(b,c)),c),c) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_23245]) ).

cnf(refute_0_23247,plain,
    product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)))]]) ).

cnf(refute_0_23248,plain,
    ( product(product(product(a,product(b,c)),c),c) != product(bigC(a,b,product(a,b)),c)
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) ),[1,1],$fot(product(bigC(a,b,product(a,b)),c))]]) ).

cnf(refute_0_23249,plain,
    ( product(product(product(a,product(b,c)),c),c) != product(bigC(a,b,product(a,b)),c)
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23247,refute_0_23248]) ).

cnf(refute_0_23250,plain,
    product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),c),product(bigC(a,b,product(a,b)),c)) )],[refute_0_23246,refute_0_23249]) ).

cnf(refute_0_23251,plain,
    ( product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) ),[1],$fot(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)))]]) ).

cnf(refute_0_23252,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))) )],[refute_0_23250,refute_0_23251]) ).

cnf(refute_0_23253,plain,
    ( quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23242,refute_0_23252]) ).

cnf(refute_0_23254,plain,
    quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,product(b,c)),c),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(product(product(a,product(b,c)),c),c))) )],[refute_0_23236,refute_0_23253]) ).

cnf(refute_0_23255,plain,
    product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),
    inference(subst,[],[refute_0_35:[bind(A,$fot(product(bigC(a,a,c),a))),bind(B,$fot(c)),bind(C,$fot(bigC(b,b,c))),bind(D,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_23256,plain,
    bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(product(product(a,c),c),c),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c))),
    inference(subst,[],[refute_0_166:[bind(X_22,$fot(product(product(product(a,c),c),c))),bind(X_23,$fot(product(product(product(c,b),a),product(b,c))))]]) ).

cnf(refute_0_23257,plain,
    ( bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) != product(product(product(product(a,c),c),c),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))
    | product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)) != quotient(product(product(a,c),c),product(a,b))
    | bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))),product(product(product(product(a,c),c),c),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))) ),[1,1],$fot(quotient(product(product(a,c),c),product(a,b)))]]) ).

cnf(refute_0_23258,plain,
    ( bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) != product(product(product(product(a,c),c),c),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))
    | bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)),quotient(product(product(a,c),c),product(a,b))) )],[refute_0_7343,refute_0_23257]) ).

cnf(refute_0_23259,plain,
    bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))),product(product(product(product(a,c),c),c),product(product(product(product(c,b),a),product(b,c)),product(product(product(a,c),c),c)))) )],[refute_0_23256,refute_0_23258]) ).

cnf(refute_0_23260,plain,
    product(bigC(c,c,product(a,c)),c) = product(bigC(c,c,product(a,c)),c),
    introduced(tautology,[refl,[$fot(product(bigC(c,c,product(a,c)),c))]]) ).

cnf(refute_0_23261,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | product(bigC(c,c,product(a,c)),c) != product(bigC(c,c,product(a,c)),c)
    | product(bigC(c,c,product(a,c)),c) = product(product(bigC(c,a,c),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,c,product(a,c)),c),product(bigC(c,c,product(a,c)),c)) ),[1,0],$fot(product(bigC(c,a,c),c))]]) ).

cnf(refute_0_23262,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,a,c),c)
    | product(bigC(c,c,product(a,c)),c) = product(product(bigC(c,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(a,c)),c),product(bigC(c,c,product(a,c)),c)) )],[refute_0_23260,refute_0_23261]) ).

cnf(refute_0_23263,plain,
    product(bigC(c,c,product(a,c)),c) = product(product(bigC(c,a,c),c),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,a,c),c)) )],[refute_0_1615,refute_0_23262]) ).

cnf(refute_0_23264,plain,
    bigC(c,c,product(product(a,c),c)) = product(bigC(c,c,product(a,c)),c),
    inference(subst,[],[refute_0_1611:[bind(X_21,$fot(c)),bind(X_84,$fot(product(a,c)))]]) ).

cnf(refute_0_23265,plain,
    ( bigC(c,c,product(product(a,c),c)) != product(bigC(c,c,product(a,c)),c)
    | product(bigC(c,c,product(a,c)),c) != product(product(bigC(c,a,c),c),c)
    | bigC(c,c,product(product(a,c),c)) = product(product(bigC(c,a,c),c),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,product(product(a,c),c)))),bind(Y,$fot(product(bigC(c,c,product(a,c)),c))),bind(Z,$fot(product(product(bigC(c,a,c),c),c)))]]) ).

cnf(refute_0_23266,plain,
    ( product(bigC(c,c,product(a,c)),c) != product(product(bigC(c,a,c),c),c)
    | bigC(c,c,product(product(a,c),c)) = product(product(bigC(c,a,c),c),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(a,c),c)),product(bigC(c,c,product(a,c)),c)) )],[refute_0_23264,refute_0_23265]) ).

cnf(refute_0_23267,plain,
    bigC(c,c,product(product(a,c),c)) = product(product(bigC(c,a,c),c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,product(a,c)),c),product(product(bigC(c,a,c),c),c)) )],[refute_0_23263,refute_0_23266]) ).

cnf(refute_0_23268,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))))]]) ).

cnf(refute_0_23269,plain,
    ( bigC(c,c,product(product(a,c),c)) != product(product(bigC(c,a,c),c),c)
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c)))) ),[1,1],$fot(product(product(bigC(c,a,c),c),c))]]) ).

cnf(refute_0_23270,plain,
    ( bigC(c,c,product(product(a,c),c)) != product(product(bigC(c,a,c),c),c)
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c)))) )],[refute_0_23268,refute_0_23269]) ).

cnf(refute_0_23271,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(a,c),c)),product(product(bigC(c,a,c),c),c)) )],[refute_0_23267,refute_0_23270]) ).

cnf(refute_0_23272,plain,
    product(bigC(a,c,product(c,b)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,b)),bigC(c,c,b)))]]) ).

cnf(refute_0_23273,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(a,c,product(c,b)),bigC(c,c,b)) != product(bigC(a,c,product(c,b)),bigC(c,c,b))
    | product(bigC(a,c,product(c,b)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(c,c,b)),product(bigC(a,c,product(c,b)),bigC(c,c,b))) ),[1,1],$fot(bigC(c,b,c))]]) ).

cnf(refute_0_23274,plain,
    ( bigC(c,c,b) != bigC(c,b,c)
    | product(bigC(a,c,product(c,b)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(c,c,b)),product(bigC(a,c,product(c,b)),bigC(c,c,b))) )],[refute_0_23272,refute_0_23273]) ).

cnf(refute_0_23275,plain,
    product(bigC(a,c,product(c,b)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,b),bigC(c,b,c)) )],[refute_0_417,refute_0_23274]) ).

cnf(refute_0_23276,plain,
    product(product(a,c),product(product(c,b),a)) = bigC(a,c,product(c,b)),
    inference(subst,[],[refute_0_8:[bind(A,$fot(a)),bind(B,$fot(c)),bind(C,$fot(product(c,b)))]]) ).

cnf(refute_0_23277,plain,
    product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)),
    introduced(tautology,[refl,[$fot(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)))]]) ).

cnf(refute_0_23278,plain,
    ( product(product(a,c),product(product(c,b),a)) != bigC(a,c,product(c,b))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) != product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,c,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)),product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b))) ),[1,0],$fot(bigC(a,c,product(c,b)))]]) ).

cnf(refute_0_23279,plain,
    ( product(product(a,c),product(product(c,b),a)) != bigC(a,c,product(c,b))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,c,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)),product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b))) )],[refute_0_23277,refute_0_23278]) ).

cnf(refute_0_23280,plain,
    product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,c,b)),
    inference(resolve,[$cnf( $equal(product(product(a,c),product(product(c,b),a)),bigC(a,c,product(c,b))) )],[refute_0_23276,refute_0_23279]) ).

cnf(refute_0_23281,plain,
    ( product(bigC(a,c,product(c,b)),bigC(c,c,b)) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) != product(bigC(a,c,product(c,b)),bigC(c,c,b))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)))),bind(Y,$fot(product(bigC(a,c,product(c,b)),bigC(c,c,b)))),bind(Z,$fot(product(bigC(a,c,product(c,b)),bigC(c,b,c))))]]) ).

cnf(refute_0_23282,plain,
    ( product(bigC(a,c,product(c,b)),bigC(c,c,b)) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)),product(bigC(a,c,product(c,b)),bigC(c,c,b))) )],[refute_0_23280,refute_0_23281]) ).

cnf(refute_0_23283,plain,
    product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(c,c,b)),product(bigC(a,c,product(c,b)),bigC(c,b,c))) )],[refute_0_23275,refute_0_23282]) ).

cnf(refute_0_23284,plain,
    product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) = product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)),
    inference(subst,[],[refute_0_666:[bind(A,$fot(product(a,c))),bind(B,$fot(c)),bind(C,$fot(product(product(c,b),a))),bind(X_84,$fot(b))]]) ).

cnf(refute_0_23285,plain,
    ( product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) != product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b))
    | product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) = product(bigC(a,c,product(c,b)),bigC(c,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))))),bind(Y,$fot(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)))),bind(Z,$fot(product(bigC(a,c,product(c,b)),bigC(c,b,c))))]]) ).

cnf(refute_0_23286,plain,
    ( product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) = product(bigC(a,c,product(c,b)),bigC(c,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b))) )],[refute_0_23284,refute_0_23285]) ).

cnf(refute_0_23287,plain,
    product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) = product(bigC(a,c,product(c,b)),bigC(c,b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),product(product(c,b),a)),bigC(c,c,b)),product(bigC(a,c,product(c,b)),bigC(c,b,c))) )],[refute_0_23283,refute_0_23286]) ).

cnf(refute_0_23288,plain,
    product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))))]]) ).

cnf(refute_0_23289,plain,
    ( product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) != product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c)))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))),product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c)))) ),[1,0],$fot(product(bigC(a,c,product(c,b)),bigC(c,b,c)))]]) ).

cnf(refute_0_23290,plain,
    ( product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))),product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c)))) )],[refute_0_23288,refute_0_23289]) ).

cnf(refute_0_23291,plain,
    product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),product(bigC(a,c,product(c,b)),bigC(c,b,c))) )],[refute_0_23287,refute_0_23290]) ).

cnf(refute_0_23292,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c)))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))))),bind(Y,$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))))),bind(Z,$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))))]]) ).

cnf(refute_0_23293,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c)))) )],[refute_0_23291,refute_0_23292]) ).

cnf(refute_0_23294,plain,
    product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),bigC(c,c,product(product(a,c),c))),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))) )],[refute_0_23271,refute_0_23293]) ).

cnf(refute_0_23295,plain,
    bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))),
    inference(subst,[],[refute_0_334:[bind(A,$fot(product(product(a,c),c))),bind(B,$fot(product(product(product(c,b),a),product(b,c)))),bind(C,$fot(c))]]) ).

cnf(refute_0_23296,plain,
    ( bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) != product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c)))
    | product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))
    | bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))))),bind(Y,$fot(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))))),bind(Z,$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))))]]) ).

cnf(refute_0_23297,plain,
    ( product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))
    | bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))),product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c)))) )],[refute_0_23295,refute_0_23296]) ).

cnf(refute_0_23298,plain,
    bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),product(product(product(c,b),a),product(b,c))),bigC(c,c,product(product(a,c),c))),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))) )],[refute_0_23294,refute_0_23297]) ).

cnf(refute_0_23299,plain,
    ( bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))
    | bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) != product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))),product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))) ),[0],$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)))]]) ).

cnf(refute_0_23300,plain,
    ( bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))) != product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))) )],[refute_0_23298,refute_0_23299]) ).

cnf(refute_0_23301,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(a,c),c),c),product(product(product(a,c),c),c),product(product(product(c,b),a),product(b,c))),product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_23259,refute_0_23300]) ).

cnf(refute_0_23302,plain,
    product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_23303,plain,
    ( product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) != product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b)))
    | quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b)))) ),[1,1],$fot(quotient(product(a,product(b,c)),product(a,b)))]]) ).

cnf(refute_0_23304,plain,
    ( quotient(product(product(a,c),c),product(a,b)) != quotient(product(a,product(b,c)),product(a,b))
    | product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_23302,refute_0_23303]) ).

cnf(refute_0_23305,plain,
    product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(quotient(product(product(a,c),c),product(a,b)),quotient(product(a,product(b,c)),product(a,b))) )],[refute_0_7376,refute_0_23304]) ).

cnf(refute_0_23306,plain,
    product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_23307,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) != product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_23308,plain,
    ( product(product(product(a,c),c),c) != product(product(a,product(b,c)),c)
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_23306,refute_0_23307]) ).

cnf(refute_0_23309,plain,
    product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,c),c),c),product(product(a,product(b,c)),c)) )],[refute_0_5195,refute_0_23308]) ).

cnf(refute_0_23310,plain,
    ( product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) != product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b)))
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))))),bind(Y,$fot(product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))))),bind(Z,$fot(product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))))]]) ).

cnf(refute_0_23311,plain,
    ( product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_23309,refute_0_23310]) ).

cnf(refute_0_23312,plain,
    product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_23305,refute_0_23311]) ).

cnf(refute_0_23313,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) != product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))
    | product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) ),[0],$fot(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))))]]) ).

cnf(refute_0_23314,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) != product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_23312,refute_0_23313]) ).

cnf(refute_0_23315,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(product(product(a,c),c),c),quotient(product(product(a,c),c),product(a,b)))) )],[refute_0_23301,refute_0_23314]) ).

cnf(refute_0_23316,plain,
    product(product(bigC(c,a,c),c),c) = product(product(bigC(c,a,c),c),c),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,c),c),c))]]) ).

cnf(refute_0_23317,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | product(product(bigC(c,a,c),c),c) != product(product(bigC(c,a,c),c),c)
    | product(product(bigC(c,a,c),c),c) = product(product(bigC(a,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,c),c),c),product(product(bigC(c,a,c),c),c)) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_23318,plain,
    ( product(bigC(c,a,c),c) != product(bigC(a,a,b),c)
    | product(product(bigC(c,a,c),c),c) = product(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),c),product(product(bigC(c,a,c),c),c)) )],[refute_0_23316,refute_0_23317]) ).

cnf(refute_0_23319,plain,
    product(product(bigC(c,a,c),c),c) = product(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,c),c),product(bigC(a,a,b),c)) )],[refute_0_1622,refute_0_23318]) ).

cnf(refute_0_23320,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)))]]) ).

cnf(refute_0_23321,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))
    | product(product(bigC(c,a,c),c),c) != product(product(bigC(a,a,b),c),c)
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))) ),[1,1],$fot(product(product(bigC(a,a,b),c),c))]]) ).

cnf(refute_0_23322,plain,
    ( product(product(bigC(c,a,c),c),c) != product(product(bigC(a,a,b),c),c)
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c))) )],[refute_0_23320,refute_0_23321]) ).

cnf(refute_0_23323,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,c),c),c),product(product(bigC(a,a,b),c),c)) )],[refute_0_23319,refute_0_23322]) ).

cnf(refute_0_23324,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) ),[0],$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_23325,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23323,refute_0_23324]) ).

cnf(refute_0_23326,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(c,a,c),c),c)),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_23315,refute_0_23325]) ).

cnf(refute_0_23327,plain,
    product(bigC(a,c,product(c,b)),bigC(c,b,c)) = product(bigC(a,c,product(c,b)),bigC(c,b,c)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,b)),bigC(c,b,c)))]]) ).

cnf(refute_0_23328,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(a,c,product(c,b)),bigC(c,b,c)) != product(bigC(a,c,product(c,b)),bigC(c,b,c))
    | product(bigC(a,c,product(c,b)),bigC(c,b,c)) = product(bigC(a,c,product(c,b)),bigC(b,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(bigC(a,c,product(c,b)),bigC(c,b,c))) ),[1,1],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_23329,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(a,c,product(c,b)),bigC(c,b,c)) = product(bigC(a,c,product(c,b)),bigC(b,a,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(bigC(a,c,product(c,b)),bigC(c,b,c))) )],[refute_0_23327,refute_0_23328]) ).

cnf(refute_0_23330,plain,
    product(bigC(a,c,product(c,b)),bigC(c,b,c)) = product(bigC(a,c,product(c,b)),bigC(b,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_23329]) ).

cnf(refute_0_23331,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_23332,plain,
    ( product(bigC(a,c,product(c,b)),bigC(c,b,c)) != product(bigC(a,c,product(c,b)),bigC(b,a,b))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c))) ),[1,0],$fot(product(bigC(a,c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_23333,plain,
    ( product(bigC(a,c,product(c,b)),bigC(c,b,c)) != product(bigC(a,c,product(c,b)),bigC(b,a,b))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23331,refute_0_23332]) ).

cnf(refute_0_23334,plain,
    product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(bigC(a,c,product(c,b)),bigC(b,a,b))) )],[refute_0_23330,refute_0_23333]) ).

cnf(refute_0_23335,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) ),[0],$fot(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_23336,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23334,refute_0_23335]) ).

cnf(refute_0_23337,plain,
    product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(c,b,c)),product(product(bigC(a,a,b),c),c)),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_23326,refute_0_23336]) ).

cnf(refute_0_23338,plain,
    product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) = product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_23339,plain,
    ( product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | quotient(product(a,product(b,c)),product(a,b)) != c
    | product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) = product(product(product(a,product(b,c)),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_23340,plain,
    ( quotient(product(a,product(b,c)),product(a,b)) != c
    | product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) = product(product(product(a,product(b,c)),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_23338,refute_0_23339]) ).

cnf(refute_0_23341,plain,
    product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) = product(product(product(a,product(b,c)),c),c),
    inference(resolve,[$cnf( $equal(quotient(product(a,product(b,c)),product(a,b)),c) )],[refute_0_7417,refute_0_23340]) ).

cnf(refute_0_23342,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))) != product(product(product(a,product(b,c)),c),c)
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(product(product(a,product(b,c)),c),c)) ),[0],$fot(product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))))]]) ).

cnf(refute_0_23343,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b))),product(product(product(a,product(b,c)),c),c)) )],[refute_0_23341,refute_0_23342]) ).

cnf(refute_0_23344,plain,
    product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(a,product(b,c)),c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(product(product(a,product(b,c)),c),quotient(product(a,product(b,c)),product(a,b)))) )],[refute_0_23337,refute_0_23343]) ).

cnf(refute_0_23345,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(product(product(a,product(b,c)),c),c)
    | product(product(product(a,product(b,c)),c),c) != product(bigC(a,b,product(a,b)),c)
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(bigC(a,b,product(a,b)),c)) ),[0],$fot(product(product(product(a,product(b,c)),c),c))]]) ).

cnf(refute_0_23346,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(product(product(a,product(b,c)),c),c)
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),c),product(bigC(a,b,product(a,b)),c)) )],[refute_0_23246,refute_0_23345]) ).

cnf(refute_0_23347,plain,
    product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(product(product(a,product(b,c)),c),c)) )],[refute_0_23344,refute_0_23346]) ).

cnf(refute_0_23348,plain,
    product(bigC(a,c,product(c,b)),bigC(b,a,b)) = product(bigC(a,c,product(c,b)),bigC(b,a,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,b)),bigC(b,a,b)))]]) ).

cnf(refute_0_23349,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(a,c,product(c,b)),bigC(b,a,b)) != product(bigC(a,c,product(c,b)),bigC(b,a,b))
    | product(bigC(a,c,product(c,b)),bigC(b,a,b)) = product(bigC(a,c,product(c,b)),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(bigC(a,c,product(c,b)),bigC(b,a,b))) ),[1,1],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_23350,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(a,c,product(c,b)),bigC(b,a,b)) = product(bigC(a,c,product(c,b)),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(bigC(a,c,product(c,b)),bigC(b,a,b))) )],[refute_0_23348,refute_0_23349]) ).

cnf(refute_0_23351,plain,
    product(bigC(a,c,product(c,b)),bigC(b,a,b)) = product(bigC(a,c,product(c,b)),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_23350]) ).

cnf(refute_0_23352,plain,
    product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_23353,plain,
    ( product(bigC(a,c,product(c,b)),bigC(b,a,b)) != product(bigC(a,c,product(c,b)),bigC(a,b,b))
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c))) ),[1,0],$fot(product(bigC(a,c,product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_23354,plain,
    ( product(bigC(a,c,product(c,b)),bigC(b,a,b)) != product(bigC(a,c,product(c,b)),bigC(a,b,b))
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23352,refute_0_23353]) ).

cnf(refute_0_23355,plain,
    product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(bigC(a,c,product(c,b)),bigC(a,b,b))) )],[refute_0_23351,refute_0_23354]) ).

cnf(refute_0_23356,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(bigC(a,b,product(a,b)),c)
    | product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(bigC(a,b,product(a,b)),c)) ),[0],$fot(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_23357,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)) != product(bigC(a,b,product(a,b)),c)
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23355,refute_0_23356]) ).

cnf(refute_0_23358,plain,
    product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(b,a,b)),product(product(bigC(a,a,b),c),c)),product(bigC(a,b,product(a,b)),c)) )],[refute_0_23347,refute_0_23357]) ).

cnf(refute_0_23359,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(c,b,c))
    | product(c,bigC(c,b,c)) != product(c,bigC(a,b,b))
    | bigC(c,product(c,b),c) = product(c,bigC(a,b,b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,b),c))),bind(Y,$fot(product(c,bigC(c,b,c)))),bind(Z,$fot(product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_23360,plain,
    ( product(c,bigC(c,b,c)) != product(c,bigC(a,b,b))
    | bigC(c,product(c,b),c) = product(c,bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(c,b,c))) )],[refute_0_1693,refute_0_23359]) ).

cnf(refute_0_23361,plain,
    bigC(c,product(c,b),c) = product(c,bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,b,c)),product(c,bigC(a,b,b))) )],[refute_0_14429,refute_0_23360]) ).

cnf(refute_0_23362,plain,
    product(c,bigC(c,product(c,b),c)) = product(c,bigC(c,product(c,b),c)),
    introduced(tautology,[refl,[$fot(product(c,bigC(c,product(c,b),c)))]]) ).

cnf(refute_0_23363,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(a,b,b))
    | product(c,bigC(c,product(c,b),c)) != product(c,bigC(c,product(c,b),c))
    | product(c,bigC(c,product(c,b),c)) = product(c,product(c,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,bigC(c,product(c,b),c)),product(c,bigC(c,product(c,b),c))) ),[1,1],$fot(product(c,bigC(a,b,b)))]]) ).

cnf(refute_0_23364,plain,
    ( bigC(c,product(c,b),c) != product(c,bigC(a,b,b))
    | product(c,bigC(c,product(c,b),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(c,b),c)),product(c,bigC(c,product(c,b),c))) )],[refute_0_23362,refute_0_23363]) ).

cnf(refute_0_23365,plain,
    product(c,bigC(c,product(c,b),c)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,b),c),product(c,bigC(a,b,b))) )],[refute_0_23361,refute_0_23364]) ).

cnf(refute_0_23366,plain,
    bigC(c,c,product(c,product(c,b))) = product(c,bigC(c,product(c,b),c)),
    inference(subst,[],[refute_0_1644:[bind(X_22,$fot(product(c,b))),bind(X_83,$fot(c))]]) ).

cnf(refute_0_23367,plain,
    bigC(c,product(c,product(c,b)),c) = bigC(c,c,product(c,product(c,b))),
    inference(subst,[],[refute_0_14:[bind(A,$fot(c)),bind(B,$fot(c)),bind(C,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_23368,plain,
    ( bigC(c,c,product(c,product(c,b))) != product(c,bigC(c,product(c,b),c))
    | bigC(c,product(c,product(c,b)),c) != bigC(c,c,product(c,product(c,b)))
    | bigC(c,product(c,product(c,b)),c) = product(c,bigC(c,product(c,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(c,product(c,b)),c))),bind(Y,$fot(bigC(c,c,product(c,product(c,b))))),bind(Z,$fot(product(c,bigC(c,product(c,b),c))))]]) ).

cnf(refute_0_23369,plain,
    ( bigC(c,c,product(c,product(c,b))) != product(c,bigC(c,product(c,b),c))
    | bigC(c,product(c,product(c,b)),c) = product(c,bigC(c,product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),bigC(c,c,product(c,product(c,b)))) )],[refute_0_23367,refute_0_23368]) ).

cnf(refute_0_23370,plain,
    bigC(c,product(c,product(c,b)),c) = product(c,bigC(c,product(c,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(c,product(c,b))),product(c,bigC(c,product(c,b),c))) )],[refute_0_23366,refute_0_23369]) ).

cnf(refute_0_23371,plain,
    bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,quotient(bigC(a,b,product(a,b)),product(c,product(c,b))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(bigC(a,b,product(a,b)))),bind(X_22,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_23372,plain,
    ( bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(bigC(a,b,product(a,b)),product(X_23,quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) != c
    | bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),product(bigC(a,b,product(a,b)),product(X_23,quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))) ),[1,1,1],$fot(c)]]) ).

cnf(refute_0_23373,plain,
    ( bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(bigC(a,b,product(a,b)),product(X_23,quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))
    | bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),c) )],[refute_0_22101,refute_0_23372]) ).

cnf(refute_0_23374,plain,
    bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),product(bigC(a,b,product(a,b)),product(X_23,quotient(bigC(a,b,product(a,b)),product(c,product(c,b)))))) )],[refute_0_23371,refute_0_23373]) ).

cnf(refute_0_23375,plain,
    bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),
    introduced(tautology,[refl,[$fot(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23))]]) ).

cnf(refute_0_23376,plain,
    ( bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) != bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23)
    | quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) != c
    | bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(c,product(c,product(c,b)),X_23) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_23377,plain,
    ( quotient(bigC(a,b,product(a,b)),product(c,product(c,b))) != c
    | bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(c,product(c,product(c,b)),X_23) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23)) )],[refute_0_23375,refute_0_23376]) ).

cnf(refute_0_23378,plain,
    bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) = bigC(c,product(c,product(c,b)),X_23),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),c) )],[refute_0_22101,refute_0_23377]) ).

cnf(refute_0_23379,plain,
    ( bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) != bigC(c,product(c,product(c,b)),X_23)
    | bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(bigC(a,b,product(a,b)),product(X_23,c))
    | bigC(c,product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),product(bigC(a,b,product(a,b)),product(X_23,c))) ),[0],$fot(bigC(c,product(c,product(c,b)),X_23))]]) ).

cnf(refute_0_23380,plain,
    ( bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23) != product(bigC(a,b,product(a,b)),product(X_23,c))
    | bigC(c,product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),bigC(c,product(c,product(c,b)),X_23)) )],[refute_0_23378,refute_0_23379]) ).

cnf(refute_0_23381,plain,
    bigC(c,product(c,product(c,b)),X_23) = product(bigC(a,b,product(a,b)),product(X_23,c)),
    inference(resolve,[$cnf( $equal(bigC(quotient(bigC(a,b,product(a,b)),product(c,product(c,b))),product(c,product(c,b)),X_23),product(bigC(a,b,product(a,b)),product(X_23,c))) )],[refute_0_23374,refute_0_23380]) ).

cnf(refute_0_23382,plain,
    ( bigC(c,product(c,product(c,b)),X_23) != product(bigC(a,b,product(a,b)),product(X_23,c))
    | product(bigC(a,b,product(a,b)),product(X_23,c)) = bigC(c,product(c,product(c,b)),X_23) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(c,product(c,product(c,b)),X_23))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(X_23,c))))]]) ).

cnf(refute_0_23383,plain,
    product(bigC(a,b,product(a,b)),product(X_23,c)) = bigC(c,product(c,product(c,b)),X_23),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),X_23),product(bigC(a,b,product(a,b)),product(X_23,c))) )],[refute_0_23381,refute_0_23382]) ).

cnf(refute_0_23384,plain,
    product(bigC(a,b,product(a,b)),product(c,c)) = bigC(c,product(c,product(c,b)),c),
    inference(subst,[],[refute_0_23383:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_23385,plain,
    ( bigC(c,product(c,product(c,b)),c) != product(c,bigC(c,product(c,b),c))
    | product(bigC(a,b,product(a,b)),product(c,c)) != bigC(c,product(c,product(c,b)),c)
    | product(bigC(a,b,product(a,b)),product(c,c)) = product(c,bigC(c,product(c,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(a,b)),product(c,c)))),bind(Y,$fot(bigC(c,product(c,product(c,b)),c))),bind(Z,$fot(product(c,bigC(c,product(c,b),c))))]]) ).

cnf(refute_0_23386,plain,
    ( bigC(c,product(c,product(c,b)),c) != product(c,bigC(c,product(c,b),c))
    | product(bigC(a,b,product(a,b)),product(c,c)) = product(c,bigC(c,product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,c)),bigC(c,product(c,product(c,b)),c)) )],[refute_0_23384,refute_0_23385]) ).

cnf(refute_0_23387,plain,
    product(bigC(a,b,product(a,b)),product(c,c)) = product(c,bigC(c,product(c,b),c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(c,product(c,b)),c),product(c,bigC(c,product(c,b),c))) )],[refute_0_23370,refute_0_23386]) ).

cnf(refute_0_23388,plain,
    product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,b),bigC(c,b,c)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(a,a,b))),bind(C,$fot(bigC(c,b,c)))]]) ).

cnf(refute_0_23389,plain,
    ( product(bigC(a,a,b),bigC(c,b,c)) != product(bigC(a,a,c),product(b,c))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(bigC(a,a,b),bigC(c,b,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,c),product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(bigC(a,a,b),bigC(c,b,c)),product(B,D))) ),[1,0],$fot(product(bigC(a,a,c),product(b,c)))]]) ).

cnf(refute_0_23390,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(bigC(a,a,b),bigC(c,b,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,c),product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),bigC(c,b,c)),product(bigC(a,a,c),product(b,c))) )],[refute_0_5275,refute_0_23389]) ).

cnf(refute_0_23391,plain,
    product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,c),product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(bigC(a,a,b),bigC(c,b,c)),product(B,D))) )],[refute_0_23388,refute_0_23390]) ).

cnf(refute_0_23392,plain,
    product(product(bigC(a,a,c),product(b,c)),product(B,D)) = product(product(bigC(a,a,c),product(b,c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),product(b,c)),product(B,D)))]]) ).

cnf(refute_0_23393,plain,
    ( product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(bigC(a,a,c),product(b,c)),product(B,D)) != product(product(bigC(a,a,c),product(b,c)),product(B,D))
    | product(product(bigC(a,a,c),product(b,c)),product(B,D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),product(B,D)),product(product(bigC(a,a,c),product(b,c)),product(B,D))) ),[1,0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_23394,plain,
    ( product(bigC(a,a,c),product(b,c)) != product(product(a,b),bigC(c,a,c))
    | product(product(bigC(a,a,c),product(b,c)),product(B,D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),product(B,D)),product(product(bigC(a,a,c),product(b,c)),product(B,D))) )],[refute_0_23392,refute_0_23393]) ).

cnf(refute_0_23395,plain,
    product(product(bigC(a,a,c),product(b,c)),product(B,D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(b,c)),product(product(a,b),bigC(c,a,c))) )],[refute_0_5280,refute_0_23394]) ).

cnf(refute_0_23396,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(bigC(a,a,c),product(b,c)),product(B,D))
    | product(product(bigC(a,a,c),product(b,c)),product(B,D)) != product(product(product(a,b),bigC(c,a,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(product(a,b),bigC(c,a,c)),product(B,D))) ),[0],$fot(product(product(bigC(a,a,c),product(b,c)),product(B,D)))]]) ).

cnf(refute_0_23397,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(bigC(a,a,c),product(b,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),product(b,c)),product(B,D)),product(product(product(a,b),bigC(c,a,c)),product(B,D))) )],[refute_0_23395,refute_0_23396]) ).

cnf(refute_0_23398,plain,
    product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(bigC(a,a,c),product(b,c)),product(B,D))) )],[refute_0_23391,refute_0_23397]) ).

cnf(refute_0_23399,plain,
    product(product(product(a,b),bigC(c,a,c)),product(B,D)) = product(product(product(a,b),bigC(c,a,c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,b),bigC(c,a,c)),product(B,D)))]]) ).

cnf(refute_0_23400,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),product(B,D)) != product(product(product(a,b),bigC(c,a,c)),product(B,D))
    | product(product(product(a,b),bigC(c,a,c)),product(B,D)) = product(product(product(a,product(b,c)),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(B,D)),product(product(product(a,b),bigC(c,a,c)),product(B,D))) ),[1,0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_23401,plain,
    ( product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | product(product(product(a,b),bigC(c,a,c)),product(B,D)) = product(product(product(a,product(b,c)),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(B,D)),product(product(product(a,b),bigC(c,a,c)),product(B,D))) )],[refute_0_23399,refute_0_23400]) ).

cnf(refute_0_23402,plain,
    product(product(product(a,b),bigC(c,a,c)),product(B,D)) = product(product(product(a,product(b,c)),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_23401]) ).

cnf(refute_0_23403,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(product(a,b),bigC(c,a,c)),product(B,D))
    | product(product(product(a,b),bigC(c,a,c)),product(B,D)) != product(product(product(a,product(b,c)),c),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(product(a,product(b,c)),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(product(a,product(b,c)),c),product(B,D))) ),[0],$fot(product(product(product(a,b),bigC(c,a,c)),product(B,D)))]]) ).

cnf(refute_0_23404,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(product(a,b),bigC(c,a,c)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(product(a,product(b,c)),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,b),bigC(c,a,c)),product(B,D)),product(product(product(a,product(b,c)),c),product(B,D))) )],[refute_0_23402,refute_0_23403]) ).

cnf(refute_0_23405,plain,
    product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(product(a,product(b,c)),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(product(a,b),bigC(c,a,c)),product(B,D))) )],[refute_0_23398,refute_0_23404]) ).

cnf(refute_0_23406,plain,
    product(bigC(c,b,c),D) = product(bigC(c,b,c),D),
    introduced(tautology,[refl,[$fot(product(bigC(c,b,c),D))]]) ).

cnf(refute_0_23407,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),D) != product(bigC(c,b,c),D)
    | product(bigC(c,b,c),D) = product(bigC(b,a,b),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(c,b,c),D),product(bigC(c,b,c),D)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_23408,plain,
    ( bigC(c,b,c) != bigC(b,a,b)
    | product(bigC(c,b,c),D) = product(bigC(b,a,b),D) ),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),D),product(bigC(c,b,c),D)) )],[refute_0_23406,refute_0_23407]) ).

cnf(refute_0_23409,plain,
    product(bigC(c,b,c),D) = product(bigC(b,a,b),D),
    inference(resolve,[$cnf( $equal(bigC(c,b,c),bigC(b,a,b)) )],[refute_0_630,refute_0_23408]) ).

cnf(refute_0_23410,plain,
    product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)))]]) ).

cnf(refute_0_23411,plain,
    ( product(bigC(c,b,c),D) != product(bigC(b,a,b),D)
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(bigC(a,a,b),B),product(bigC(c,b,c),D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(bigC(a,a,b),B),product(bigC(c,b,c),D))) ),[1,1],$fot(product(bigC(b,a,b),D))]]) ).

cnf(refute_0_23412,plain,
    ( product(bigC(c,b,c),D) != product(bigC(b,a,b),D)
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(bigC(a,a,b),B),product(bigC(c,b,c),D))) )],[refute_0_23410,refute_0_23411]) ).

cnf(refute_0_23413,plain,
    product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) = product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),
    inference(resolve,[$cnf( $equal(product(bigC(c,b,c),D),product(bigC(b,a,b),D)) )],[refute_0_23409,refute_0_23412]) ).

cnf(refute_0_23414,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(bigC(a,a,b),B),product(bigC(b,a,b),D))
    | product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(product(a,product(b,c)),c),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(product(a,product(b,c)),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(product(a,product(b,c)),c),product(B,D))) ),[0],$fot(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)))]]) ).

cnf(refute_0_23415,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)) != product(product(product(a,product(b,c)),c),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(product(a,product(b,c)),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(bigC(a,a,b),B),product(bigC(b,a,b),D))) )],[refute_0_23413,refute_0_23414]) ).

cnf(refute_0_23416,plain,
    product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(product(a,product(b,c)),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(c,b,c),D)),product(product(product(a,product(b,c)),c),product(B,D))) )],[refute_0_23405,refute_0_23415]) ).

cnf(refute_0_23417,plain,
    product(product(product(a,product(b,c)),c),product(B,D)) = product(product(product(a,product(b,c)),c),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(product(a,product(b,c)),c),product(B,D)))]]) ).

cnf(refute_0_23418,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(product(a,product(b,c)),c),product(B,D)) != product(product(product(a,product(b,c)),c),product(B,D))
    | product(product(product(a,product(b,c)),c),product(B,D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(B,D)),product(product(product(a,product(b,c)),c),product(B,D))) ),[1,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23419,plain,
    ( product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | product(product(product(a,product(b,c)),c),product(B,D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(B,D)),product(product(product(a,product(b,c)),c),product(B,D))) )],[refute_0_23417,refute_0_23418]) ).

cnf(refute_0_23420,plain,
    product(product(product(a,product(b,c)),c),product(B,D)) = product(bigC(a,b,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_23419]) ).

cnf(refute_0_23421,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) != product(product(product(a,product(b,c)),c),product(B,D))
    | product(product(product(a,product(b,c)),c),product(B,D)) != product(bigC(a,b,product(a,b)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(bigC(a,b,product(a,b)),product(B,D))) ),[0],$fot(product(product(product(a,product(b,c)),c),product(B,D)))]]) ).

cnf(refute_0_23422,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) != product(product(product(a,product(b,c)),c),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,product(b,c)),c),product(B,D)),product(bigC(a,b,product(a,b)),product(B,D))) )],[refute_0_23420,refute_0_23421]) ).

cnf(refute_0_23423,plain,
    product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(bigC(a,b,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(product(product(a,product(b,c)),c),product(B,D))) )],[refute_0_23416,refute_0_23422]) ).

cnf(refute_0_23424,plain,
    product(bigC(b,a,b),D) = product(bigC(b,a,b),D),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),D))]]) ).

cnf(refute_0_23425,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),D) != product(bigC(b,a,b),D)
    | product(bigC(b,a,b),D) = product(bigC(a,b,b),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),D),product(bigC(b,a,b),D)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_23426,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),D) = product(bigC(a,b,b),D) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),D),product(bigC(b,a,b),D)) )],[refute_0_23424,refute_0_23425]) ).

cnf(refute_0_23427,plain,
    product(bigC(b,a,b),D) = product(bigC(a,b,b),D),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_23426]) ).

cnf(refute_0_23428,plain,
    product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)))]]) ).

cnf(refute_0_23429,plain,
    ( product(bigC(b,a,b),D) != product(bigC(a,b,b),D)
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) != product(product(bigC(a,a,b),B),product(bigC(b,a,b),D))
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,b),B),product(bigC(b,a,b),D))) ),[1,1],$fot(product(bigC(a,b,b),D))]]) ).

cnf(refute_0_23430,plain,
    ( product(bigC(b,a,b),D) != product(bigC(a,b,b),D)
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,b),B),product(bigC(b,a,b),D))) )],[refute_0_23428,refute_0_23429]) ).

cnf(refute_0_23431,plain,
    product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),D),product(bigC(a,b,b),D)) )],[refute_0_23427,refute_0_23430]) ).

cnf(refute_0_23432,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) != product(bigC(a,b,product(a,b)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) != product(product(bigC(a,a,b),B),product(bigC(a,b,b),D))
    | product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(bigC(a,b,product(a,b)),product(B,D))) ),[0],$fot(product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)))]]) ).

cnf(refute_0_23433,plain,
    ( product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)) != product(bigC(a,b,product(a,b)),product(B,D))
    | product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)) = product(bigC(a,b,product(a,b)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,b),B),product(bigC(a,b,b),D))) )],[refute_0_23431,refute_0_23432]) ).

cnf(refute_0_23434,plain,
    product(product(bigC(a,a,b),B),product(bigC(a,b,b),D)) = product(bigC(a,b,product(a,b)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),B),product(bigC(b,a,b),D)),product(bigC(a,b,product(a,b)),product(B,D))) )],[refute_0_23423,refute_0_23433]) ).

cnf(refute_0_23435,plain,
    product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(bigC(a,b,product(a,b)),product(c,c)),
    inference(subst,[],[refute_0_23434:[bind(B,$fot(c)),bind(D,$fot(c))]]) ).

cnf(refute_0_23436,plain,
    ( product(bigC(a,b,product(a,b)),product(c,c)) != product(c,bigC(c,product(c,b),c))
    | product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) != product(bigC(a,b,product(a,b)),product(c,c))
    | product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(c,bigC(c,product(c,b),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)))),bind(Y,$fot(product(bigC(a,b,product(a,b)),product(c,c)))),bind(Z,$fot(product(c,bigC(c,product(c,b),c))))]]) ).

cnf(refute_0_23437,plain,
    ( product(bigC(a,b,product(a,b)),product(c,c)) != product(c,bigC(c,product(c,b),c))
    | product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(c,bigC(c,product(c,b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)),product(bigC(a,b,product(a,b)),product(c,c))) )],[refute_0_23435,refute_0_23436]) ).

cnf(refute_0_23438,plain,
    product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(c,bigC(c,product(c,b),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),product(c,c)),product(c,bigC(c,product(c,b),c))) )],[refute_0_23387,refute_0_23437]) ).

cnf(refute_0_23439,plain,
    ( product(c,bigC(c,product(c,b),c)) != product(c,product(c,bigC(a,b,b)))
    | product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) != product(c,bigC(c,product(c,b),c))
    | product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)))),bind(Y,$fot(product(c,bigC(c,product(c,b),c)))),bind(Z,$fot(product(c,product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_23440,plain,
    ( product(c,bigC(c,product(c,b),c)) != product(c,product(c,bigC(a,b,b)))
    | product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)),product(c,bigC(c,product(c,b),c))) )],[refute_0_23438,refute_0_23439]) ).

cnf(refute_0_23441,plain,
    product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(c,bigC(c,product(c,b),c)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_23365,refute_0_23440]) ).

cnf(refute_0_23442,plain,
    product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(product(bigC(a,a,b),c))),bind(X_65,$fot(bigC(a,b,b))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23443,plain,
    ( product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) != product(c,product(c,bigC(a,b,b)))
    | product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(product(bigC(a,a,b),c),product(bigC(a,b,b),c))
    | product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)))),bind(Y,$fot(product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)))),bind(Z,$fot(product(c,product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_23444,plain,
    ( product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)) != product(c,product(c,bigC(a,b,b)))
    | product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,a,b),c),product(bigC(a,b,b),c))) )],[refute_0_23442,refute_0_23443]) ).

cnf(refute_0_23445,plain,
    product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(bigC(a,b,b),c)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_23441,refute_0_23444]) ).

cnf(refute_0_23446,plain,
    product(bigC(a,c,product(c,b)),bigC(a,b,b)) = product(bigC(a,c,product(c,b)),bigC(a,b,b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,c,product(c,b)),bigC(a,b,b)))]]) ).

cnf(refute_0_23447,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | product(bigC(a,c,product(c,b)),bigC(a,b,b)) != product(bigC(a,c,product(c,b)),bigC(a,b,b))
    | product(bigC(a,c,product(c,b)),bigC(a,b,b)) = product(product(bigC(a,a,b),c),bigC(a,b,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(bigC(a,c,product(c,b)),bigC(a,b,b))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_23448,plain,
    ( bigC(a,c,product(c,b)) != product(bigC(a,a,b),c)
    | product(bigC(a,c,product(c,b)),bigC(a,b,b)) = product(product(bigC(a,a,b),c),bigC(a,b,b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(bigC(a,c,product(c,b)),bigC(a,b,b))) )],[refute_0_23446,refute_0_23447]) ).

cnf(refute_0_23449,plain,
    product(bigC(a,c,product(c,b)),bigC(a,b,b)) = product(product(bigC(a,a,b),c),bigC(a,b,b)),
    inference(resolve,[$cnf( $equal(bigC(a,c,product(c,b)),product(bigC(a,a,b),c)) )],[refute_0_14868,refute_0_23448]) ).

cnf(refute_0_23450,plain,
    product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)))]]) ).

cnf(refute_0_23451,plain,
    ( product(bigC(a,c,product(c,b)),bigC(a,b,b)) != product(product(bigC(a,a,b),c),bigC(a,b,b))
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))) ),[1,0],$fot(product(product(bigC(a,a,b),c),bigC(a,b,b)))]]) ).

cnf(refute_0_23452,plain,
    ( product(bigC(a,c,product(c,b)),bigC(a,b,b)) != product(product(bigC(a,a,b),c),bigC(a,b,b))
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23450,refute_0_23451]) ).

cnf(refute_0_23453,plain,
    product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),
    inference(resolve,[$cnf( $equal(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),bigC(a,b,b))) )],[refute_0_23449,refute_0_23452]) ).

cnf(refute_0_23454,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))
    | product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(c,product(c,bigC(a,b,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)))),bind(Y,$fot(product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)))),bind(Z,$fot(product(c,product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_23455,plain,
    ( product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(c,product(c,bigC(a,b,b)))
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(c,product(c,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c))) )],[refute_0_23453,refute_0_23454]) ).

cnf(refute_0_23456,plain,
    product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_23445,refute_0_23455]) ).

cnf(refute_0_23457,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(bigC(a,b,product(a,b)),c)
    | product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(c,product(c,bigC(a,b,b)))
    | product(c,product(c,bigC(a,b,b))) = product(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(bigC(a,b,product(a,b)),c)) ),[0],$fot(product(c,product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_23458,plain,
    ( product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)) != product(bigC(a,b,product(a,b)),c)
    | product(c,product(c,bigC(a,b,b))) = product(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(c,product(c,bigC(a,b,b)))) )],[refute_0_23456,refute_0_23457]) ).

cnf(refute_0_23459,plain,
    product(c,product(c,bigC(a,b,b))) = product(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,c,product(c,b)),bigC(a,b,b)),product(product(bigC(a,a,b),c),c)),product(bigC(a,b,product(a,b)),c)) )],[refute_0_23358,refute_0_23458]) ).

cnf(refute_0_23460,plain,
    ( product(c,product(c,bigC(a,b,b))) != product(bigC(a,b,product(a,b)),c)
    | product(bigC(a,b,product(a,b)),c) = product(c,product(c,bigC(a,b,b))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,bigC(a,b,b))))),bind(Y,$fot(product(bigC(a,b,product(a,b)),c)))]]) ).

cnf(refute_0_23461,plain,
    product(bigC(a,b,product(a,b)),c) = product(c,product(c,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,bigC(a,b,b))),product(bigC(a,b,product(a,b)),c)) )],[refute_0_23459,refute_0_23460]) ).

cnf(refute_0_23462,plain,
    product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)))]]) ).

cnf(refute_0_23463,plain,
    ( product(bigC(a,b,product(a,b)),c) != product(c,product(c,bigC(a,b,b)))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))) ),[1,1],$fot(product(c,product(c,bigC(a,b,b))))]]) ).

cnf(refute_0_23464,plain,
    ( product(bigC(a,b,product(a,b)),c) != product(c,product(c,bigC(a,b,b)))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))) )],[refute_0_23462,refute_0_23463]) ).

cnf(refute_0_23465,plain,
    product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(a,b)),c),product(c,product(c,bigC(a,b,b)))) )],[refute_0_23461,refute_0_23464]) ).

cnf(refute_0_23466,plain,
    ( product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b))))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) != product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)))),bind(Y,$fot(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))))),bind(Z,$fot(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))))]]) ).

cnf(refute_0_23467,plain,
    ( product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))) != product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))
    | product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b))))) )],[refute_0_23465,refute_0_23466]) ).

cnf(refute_0_23468,plain,
    product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(c,product(c,bigC(a,b,b)))),product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))) )],[refute_0_23255,refute_0_23467]) ).

cnf(refute_0_23469,plain,
    ( product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)) != product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))) ),[1],$fot(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_23470,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c)),product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))) )],[refute_0_23468,refute_0_23469]) ).

cnf(refute_0_23471,plain,
    quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),bigC(b,b,c)),product(bigC(a,b,product(a,b)),c))) )],[refute_0_23254,refute_0_23470]) ).

cnf(refute_0_23472,plain,
    product(product(a,product(b,c)),product(a,b)) = product(product(c,a),product(product(a,b),b)),
    inference(subst,[],[refute_0_7267:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_23473,plain,
    ( product(product(a,product(b,c)),product(a,b)) != product(product(c,a),product(product(a,b),b))
    | product(product(c,a),product(product(a,b),b)) != product(a,bigC(b,b,c))
    | product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(a,product(b,c)),product(a,b)))),bind(Y,$fot(product(product(c,a),product(product(a,b),b)))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_23474,plain,
    ( product(product(c,a),product(product(a,b),b)) != product(a,bigC(b,b,c))
    | product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,b)),product(product(c,a),product(product(a,b),b))) )],[refute_0_23472,refute_0_23473]) ).

cnf(refute_0_23475,plain,
    product(product(a,product(b,c)),product(a,b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(a,b),b)),product(a,bigC(b,b,c))) )],[refute_0_5853,refute_0_23474]) ).

cnf(refute_0_23476,plain,
    product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,c),bigC(b,a,b)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(a,a,c))),bind(C,$fot(bigC(b,a,b)))]]) ).

cnf(refute_0_23477,plain,
    ( product(bigC(a,a,c),bigC(b,a,b)) != product(a,product(b,c))
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) != product(product(bigC(a,a,c),bigC(b,a,b)),product(B,D))
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,c),bigC(b,a,b)),product(B,D))) ),[1,0],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_23478,plain,
    ( product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) != product(product(bigC(a,a,c),bigC(b,a,b)),product(B,D))
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),bigC(b,a,b)),product(a,product(b,c))) )],[refute_0_620,refute_0_23477]) ).

cnf(refute_0_23479,plain,
    product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,c),bigC(b,a,b)),product(B,D))) )],[refute_0_23476,refute_0_23478]) ).

cnf(refute_0_23480,plain,
    product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)))]]) ).

cnf(refute_0_23481,plain,
    ( product(bigC(b,a,b),D) != product(bigC(a,b,b),D)
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) != product(product(bigC(a,a,c),B),product(bigC(b,a,b),D))
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,c),B),product(bigC(b,a,b),D))) ),[1,1],$fot(product(bigC(a,b,b),D))]]) ).

cnf(refute_0_23482,plain,
    ( product(bigC(b,a,b),D) != product(bigC(a,b,b),D)
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,c),B),product(bigC(b,a,b),D))) )],[refute_0_23480,refute_0_23481]) ).

cnf(refute_0_23483,plain,
    product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) = product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),D),product(bigC(a,b,b),D)) )],[refute_0_23427,refute_0_23482]) ).

cnf(refute_0_23484,plain,
    ( product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) != product(product(a,product(b,c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) != product(product(bigC(a,a,c),B),product(bigC(a,b,b),D))
    | product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(a,product(b,c)),product(B,D))) ),[0],$fot(product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)))]]) ).

cnf(refute_0_23485,plain,
    ( product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)) != product(product(a,product(b,c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)) = product(product(a,product(b,c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(bigC(a,a,c),B),product(bigC(a,b,b),D))) )],[refute_0_23483,refute_0_23484]) ).

cnf(refute_0_23486,plain,
    product(product(bigC(a,a,c),B),product(bigC(a,b,b),D)) = product(product(a,product(b,c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(bigC(b,a,b),D)),product(product(a,product(b,c)),product(B,D))) )],[refute_0_23479,refute_0_23485]) ).

cnf(refute_0_23487,plain,
    product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) = product(product(a,product(b,c)),product(a,b)),
    inference(subst,[],[refute_0_23486:[bind(B,$fot(a)),bind(D,$fot(b))]]) ).

cnf(refute_0_23488,plain,
    ( product(product(a,product(b,c)),product(a,b)) != product(a,bigC(b,b,c))
    | product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) != product(product(a,product(b,c)),product(a,b))
    | product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) = product(a,bigC(b,b,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)))),bind(Y,$fot(product(product(a,product(b,c)),product(a,b)))),bind(Z,$fot(product(a,bigC(b,b,c))))]]) ).

cnf(refute_0_23489,plain,
    ( product(product(a,product(b,c)),product(a,b)) != product(a,bigC(b,b,c))
    | product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) = product(a,bigC(b,b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),product(product(a,product(b,c)),product(a,b))) )],[refute_0_23487,refute_0_23488]) ).

cnf(refute_0_23490,plain,
    product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) = product(a,bigC(b,b,c)),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),product(a,b)),product(a,bigC(b,b,c))) )],[refute_0_23475,refute_0_23489]) ).

cnf(refute_0_23491,plain,
    product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) = product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c))]]) ).

cnf(refute_0_23492,plain,
    ( product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) != product(a,bigC(b,b,c))
    | product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) != product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c)
    | product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) = product(product(a,bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c),product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c)) ),[1,0],$fot(product(a,bigC(b,b,c)))]]) ).

cnf(refute_0_23493,plain,
    ( product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)) != product(a,bigC(b,b,c))
    | product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) = product(product(a,bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c),product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c)) )],[refute_0_23491,refute_0_23492]) ).

cnf(refute_0_23494,plain,
    product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) = product(product(a,bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),product(a,bigC(b,b,c))) )],[refute_0_23490,refute_0_23493]) ).

cnf(refute_0_23495,plain,
    product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) = product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(bigC(a,a,c),a))),bind(X_64,$fot(product(bigC(a,b,b),b))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23496,plain,
    ( product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) != product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c)
    | product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) != product(product(a,bigC(b,b,c)),c)
    | product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) = product(product(a,bigC(b,b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)))),bind(Y,$fot(product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c))),bind(Z,$fot(product(product(a,bigC(b,b,c)),c)))]]) ).

cnf(refute_0_23497,plain,
    ( product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c) != product(product(a,bigC(b,b,c)),c)
    | product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) = product(product(a,bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)),product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c)) )],[refute_0_23495,refute_0_23496]) ).

cnf(refute_0_23498,plain,
    product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) = product(product(a,bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),product(bigC(a,b,b),b)),c),product(product(a,bigC(b,b,c)),c)) )],[refute_0_23494,refute_0_23497]) ).

cnf(refute_0_23499,plain,
    product(product(bigC(a,b,b),b),product(c,c)) = product(product(bigC(a,b,b),b),product(c,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,b,b),b),product(c,c)))]]) ).

cnf(refute_0_23500,plain,
    ( product(c,c) != c
    | product(product(bigC(a,b,b),b),product(c,c)) != product(product(bigC(a,b,b),b),product(c,c))
    | product(product(bigC(a,b,b),b),product(c,c)) = product(product(bigC(a,b,b),b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,b,b),b),product(c,c)),product(product(bigC(a,b,b),b),product(c,c))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_23501,plain,
    ( product(c,c) != c
    | product(product(bigC(a,b,b),b),product(c,c)) = product(product(bigC(a,b,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),b),product(c,c)),product(product(bigC(a,b,b),b),product(c,c))) )],[refute_0_23499,refute_0_23500]) ).

cnf(refute_0_23502,plain,
    product(product(bigC(a,b,b),b),product(c,c)) = product(product(bigC(a,b,b),b),c),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_23501]) ).

cnf(refute_0_23503,plain,
    bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c)))),
    inference(subst,[],[sos08:[bind(A,$fot(product(product(product(b,c),c),bigC(b,b,c)))),bind(C,$fot(product(b,product(b,c))))]]) ).

cnf(refute_0_23504,plain,
    ( bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))))
    | product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))) != product(b,c)
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))))) ),[1,1],$fot(product(b,c))]]) ).

cnf(refute_0_23505,plain,
    ( bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))),product(b,c)) )],[refute_0_3201,refute_0_23504]) ).

cnf(refute_0_23506,plain,
    bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(b,product(b,c)),product(product(product(b,c),c),bigC(b,b,c))))) )],[refute_0_23503,refute_0_23505]) ).

cnf(refute_0_23507,plain,
    bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))) = product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),
    inference(subst,[],[refute_0_6268:[bind(X_22,$fot(B)),bind(X_23,$fot(product(b,product(b,c)))),bind(X_65,$fot(b)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23508,plain,
    bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))))]]) ).

cnf(refute_0_23509,plain,
    ( bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c)))
    | product(product(product(b,c),c),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c)))) ),[1,0],$fot(difference(product(b,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_23510,plain,
    ( product(product(product(b,c),c),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c)))) )],[refute_0_23508,refute_0_23509]) ).

cnf(refute_0_23511,plain,
    bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),difference(product(b,product(b,c)),product(b,c))) )],[refute_0_3206,refute_0_23510]) ).

cnf(refute_0_23512,plain,
    ( bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))) != product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c)))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))))),bind(Y,$fot(bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))))),bind(Z,$fot(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))))]]) ).

cnf(refute_0_23513,plain,
    ( bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))) != product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c)))) )],[refute_0_23511,refute_0_23512]) ).

cnf(refute_0_23514,plain,
    bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) = product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),
    inference(resolve,[$cnf( $equal(bigC(difference(product(b,product(b,c)),product(b,c)),B,product(b,product(b,c))),product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))) )],[refute_0_23507,refute_0_23513]) ).

cnf(refute_0_23515,plain,
    ( bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))
    | bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))) ),[0],$fot(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)))]]) ).

cnf(refute_0_23516,plain,
    ( bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))) )],[refute_0_23514,refute_0_23515]) ).

cnf(refute_0_23517,plain,
    product(product(product(product(b,c),c),bigC(b,b,c)),B) = product(product(product(product(b,c),c),bigC(b,b,c)),B),
    introduced(tautology,[refl,[$fot(product(product(product(product(b,c),c),bigC(b,b,c)),B))]]) ).

cnf(refute_0_23518,plain,
    ( product(product(product(b,c),c),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | product(product(product(product(b,c),c),bigC(b,b,c)),B) != product(product(product(product(b,c),c),bigC(b,b,c)),B)
    | product(product(product(product(b,c),c),bigC(b,b,c)),B) = product(difference(product(b,product(b,c)),product(b,c)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(product(product(b,c),c),bigC(b,b,c)),B)) ),[1,0],$fot(difference(product(b,product(b,c)),product(b,c)))]]) ).

cnf(refute_0_23519,plain,
    ( product(product(product(b,c),c),bigC(b,b,c)) != difference(product(b,product(b,c)),product(b,c))
    | product(product(product(product(b,c),c),bigC(b,b,c)),B) = product(difference(product(b,product(b,c)),product(b,c)),B) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(product(product(product(b,c),c),bigC(b,b,c)),B)) )],[refute_0_23517,refute_0_23518]) ).

cnf(refute_0_23520,plain,
    product(product(product(product(b,c),c),bigC(b,b,c)),B) = product(difference(product(b,product(b,c)),product(b,c)),B),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),c),bigC(b,b,c)),difference(product(b,product(b,c)),product(b,c))) )],[refute_0_3206,refute_0_23519]) ).

cnf(refute_0_23521,plain,
    product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) = product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)),
    introduced(tautology,[refl,[$fot(product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)))]]) ).

cnf(refute_0_23522,plain,
    ( product(product(product(product(b,c),c),bigC(b,b,c)),B) != product(difference(product(b,product(b,c)),product(b,c)),B)
    | product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))
    | product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))) ),[1,0],$fot(product(difference(product(b,product(b,c)),product(b,c)),B))]]) ).

cnf(refute_0_23523,plain,
    ( product(product(product(product(b,c),c),bigC(b,b,c)),B) != product(difference(product(b,product(b,c)),product(b,c)),B)
    | product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))) )],[refute_0_23521,refute_0_23522]) ).

cnf(refute_0_23524,plain,
    product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(difference(product(b,product(b,c)),product(b,c)),B)) )],[refute_0_23520,refute_0_23523]) ).

cnf(refute_0_23525,plain,
    ( product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))
    | product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) ),[0],$fot(product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)))]]) ).

cnf(refute_0_23526,plain,
    ( product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) )],[refute_0_23524,refute_0_23525]) ).

cnf(refute_0_23527,plain,
    ( bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))) != product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))) )],[refute_0_23516,refute_0_23526]) ).

cnf(refute_0_23528,plain,
    product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)),
    inference(resolve,[$cnf( $equal(bigC(product(product(product(b,c),c),bigC(b,b,c)),B,product(b,product(b,c))),product(product(product(product(product(b,c),c),bigC(b,b,c)),B),product(b,c))) )],[refute_0_23506,refute_0_23527]) ).

cnf(refute_0_23529,plain,
    product(difference(product(b,product(b,c)),product(b,c)),b) = product(difference(product(b,product(b,c)),product(b,c)),b),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(b,c)),product(b,c)),b))]]) ).

cnf(refute_0_23530,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(difference(product(b,product(b,c)),product(b,c)),b) != product(difference(product(b,product(b,c)),product(b,c)),b)
    | product(difference(product(b,product(b,c)),product(b,c)),b) = product(bigC(b,product(c,a),product(c,b)),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),b),product(difference(product(b,product(b,c)),product(b,c)),b)) ),[1,0],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_23531,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(difference(product(b,product(b,c)),product(b,c)),b) = product(bigC(b,product(c,a),product(c,b)),b) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),b),product(difference(product(b,product(b,c)),product(b,c)),b)) )],[refute_0_23529,refute_0_23530]) ).

cnf(refute_0_23532,plain,
    product(difference(product(b,product(b,c)),product(b,c)),b) = product(bigC(b,product(c,a),product(c,b)),b),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3358,refute_0_23531]) ).

cnf(refute_0_23533,plain,
    product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),
    introduced(tautology,[refl,[$fot(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)))]]) ).

cnf(refute_0_23534,plain,
    ( product(difference(product(b,product(b,c)),product(b,c)),b) != product(bigC(b,product(c,a),product(c,b)),b)
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))) ),[1,0],$fot(product(bigC(b,product(c,a),product(c,b)),b))]]) ).

cnf(refute_0_23535,plain,
    ( product(difference(product(b,product(b,c)),product(b,c)),b) != product(bigC(b,product(c,a),product(c,b)),b)
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c))) )],[refute_0_23533,refute_0_23534]) ).

cnf(refute_0_23536,plain,
    product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),b),product(bigC(b,product(c,a),product(c,b)),b)) )],[refute_0_23532,refute_0_23535]) ).

cnf(refute_0_23537,plain,
    ( product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) ),[0],$fot(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)))]]) ).

cnf(refute_0_23538,plain,
    ( product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c))) )],[refute_0_23536,refute_0_23537]) ).

cnf(refute_0_23539,plain,
    product(difference(product(b,product(b,c)),product(b,c)),B) = product(difference(product(b,product(b,c)),product(b,c)),B),
    introduced(tautology,[refl,[$fot(product(difference(product(b,product(b,c)),product(b,c)),B))]]) ).

cnf(refute_0_23540,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(difference(product(b,product(b,c)),product(b,c)),B) != product(difference(product(b,product(b,c)),product(b,c)),B)
    | product(difference(product(b,product(b,c)),product(b,c)),B) = product(bigC(b,product(c,a),product(c,b)),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),B),product(difference(product(b,product(b,c)),product(b,c)),B)) ),[1,0],$fot(bigC(b,product(c,a),product(c,b)))]]) ).

cnf(refute_0_23541,plain,
    ( difference(product(b,product(b,c)),product(b,c)) != bigC(b,product(c,a),product(c,b))
    | product(difference(product(b,product(b,c)),product(b,c)),B) = product(bigC(b,product(c,a),product(c,b)),B) ),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),B),product(difference(product(b,product(b,c)),product(b,c)),B)) )],[refute_0_23539,refute_0_23540]) ).

cnf(refute_0_23542,plain,
    product(difference(product(b,product(b,c)),product(b,c)),B) = product(bigC(b,product(c,a),product(c,b)),B),
    inference(resolve,[$cnf( $equal(difference(product(b,product(b,c)),product(b,c)),bigC(b,product(c,a),product(c,b))) )],[refute_0_3358,refute_0_23541]) ).

cnf(refute_0_23543,plain,
    product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) = product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)),
    introduced(tautology,[refl,[$fot(product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)))]]) ).

cnf(refute_0_23544,plain,
    ( product(difference(product(b,product(b,c)),product(b,c)),B) != product(bigC(b,product(c,a),product(c,b)),B)
    | product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) ),[1,0],$fot(product(bigC(b,product(c,a),product(c,b)),B))]]) ).

cnf(refute_0_23545,plain,
    ( product(difference(product(b,product(b,c)),product(b,c)),B) != product(bigC(b,product(c,a),product(c,b)),B)
    | product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) )],[refute_0_23543,refute_0_23544]) ).

cnf(refute_0_23546,plain,
    product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(difference(product(b,product(b,c)),product(b,c)),B),product(bigC(b,product(c,a),product(c,b)),B)) )],[refute_0_23542,refute_0_23545]) ).

cnf(refute_0_23547,plain,
    ( product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) ),[0],$fot(product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)))]]) ).

cnf(refute_0_23548,plain,
    ( product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) )],[refute_0_23546,refute_0_23547]) ).

cnf(refute_0_23549,plain,
    ( product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)) != product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) )],[refute_0_23538,refute_0_23548]) ).

cnf(refute_0_23550,plain,
    product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(difference(product(b,product(b,c)),product(b,c)),b),product(B,c)),product(product(difference(product(b,product(b,c)),product(b,c)),B),product(b,c))) )],[refute_0_23528,refute_0_23549]) ).

cnf(refute_0_23551,plain,
    product(bigC(b,product(c,a),product(c,b)),b) = product(bigC(b,product(c,a),product(c,b)),b),
    introduced(tautology,[refl,[$fot(product(bigC(b,product(c,a),product(c,b)),b))]]) ).

cnf(refute_0_23552,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,product(c,a),product(c,b)),b) != product(bigC(b,product(c,a),product(c,b)),b)
    | product(bigC(b,product(c,a),product(c,b)),b) = product(bigC(b,a,b),b) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),b),product(bigC(b,product(c,a),product(c,b)),b)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_23553,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,product(c,a),product(c,b)),b) = product(bigC(b,a,b),b) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),b),product(bigC(b,product(c,a),product(c,b)),b)) )],[refute_0_23551,refute_0_23552]) ).

cnf(refute_0_23554,plain,
    product(bigC(b,product(c,a),product(c,b)),b) = product(bigC(b,a,b),b),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_23553]) ).

cnf(refute_0_23555,plain,
    product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)))]]) ).

cnf(refute_0_23556,plain,
    ( product(bigC(b,product(c,a),product(c,b)),b) != product(bigC(b,a,b),b)
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,a,b),b),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c))) ),[1,0],$fot(product(bigC(b,a,b),b))]]) ).

cnf(refute_0_23557,plain,
    ( product(bigC(b,product(c,a),product(c,b)),b) != product(bigC(b,a,b),b)
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,a,b),b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c))) )],[refute_0_23555,refute_0_23556]) ).

cnf(refute_0_23558,plain,
    product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) = product(product(bigC(b,a,b),b),product(B,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),b),product(bigC(b,a,b),b)) )],[refute_0_23554,refute_0_23557]) ).

cnf(refute_0_23559,plain,
    ( product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(bigC(b,a,b),b),product(B,c))
    | product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) ),[0],$fot(product(product(bigC(b,a,b),b),product(B,c)))]]) ).

cnf(refute_0_23560,plain,
    ( product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(bigC(b,a,b),b),product(B,c))) )],[refute_0_23558,refute_0_23559]) ).

cnf(refute_0_23561,plain,
    product(bigC(b,product(c,a),product(c,b)),B) = product(bigC(b,product(c,a),product(c,b)),B),
    introduced(tautology,[refl,[$fot(product(bigC(b,product(c,a),product(c,b)),B))]]) ).

cnf(refute_0_23562,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,product(c,a),product(c,b)),B) != product(bigC(b,product(c,a),product(c,b)),B)
    | product(bigC(b,product(c,a),product(c,b)),B) = product(bigC(b,a,b),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),B),product(bigC(b,product(c,a),product(c,b)),B)) ),[1,0],$fot(bigC(b,a,b))]]) ).

cnf(refute_0_23563,plain,
    ( bigC(b,product(c,a),product(c,b)) != bigC(b,a,b)
    | product(bigC(b,product(c,a),product(c,b)),B) = product(bigC(b,a,b),B) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),B),product(bigC(b,product(c,a),product(c,b)),B)) )],[refute_0_23561,refute_0_23562]) ).

cnf(refute_0_23564,plain,
    product(bigC(b,product(c,a),product(c,b)),B) = product(bigC(b,a,b),B),
    inference(resolve,[$cnf( $equal(bigC(b,product(c,a),product(c,b)),bigC(b,a,b)) )],[refute_0_9436,refute_0_23563]) ).

cnf(refute_0_23565,plain,
    product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) = product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)))]]) ).

cnf(refute_0_23566,plain,
    ( product(bigC(b,product(c,a),product(c,b)),B) != product(bigC(b,a,b),B)
    | product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) ),[1,0],$fot(product(bigC(b,a,b),B))]]) ).

cnf(refute_0_23567,plain,
    ( product(bigC(b,product(c,a),product(c,b)),B) != product(bigC(b,a,b),B)
    | product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) )],[refute_0_23565,refute_0_23566]) ).

cnf(refute_0_23568,plain,
    product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) = product(product(bigC(b,a,b),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,product(c,a),product(c,b)),B),product(bigC(b,a,b),B)) )],[refute_0_23564,refute_0_23567]) ).

cnf(refute_0_23569,plain,
    ( product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(b,a,b),B),product(b,c))) ),[0],$fot(product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)))]]) ).

cnf(refute_0_23570,plain,
    ( product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c)),product(product(bigC(b,a,b),B),product(b,c))) )],[refute_0_23568,refute_0_23569]) ).

cnf(refute_0_23571,plain,
    ( product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)) != product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) )],[refute_0_23560,refute_0_23570]) ).

cnf(refute_0_23572,plain,
    product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,a,b),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,product(c,a),product(c,b)),b),product(B,c)),product(product(bigC(b,product(c,a),product(c,b)),B),product(b,c))) )],[refute_0_23550,refute_0_23571]) ).

cnf(refute_0_23573,plain,
    product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(b,a,b),b),product(B,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),b),product(B,c)))]]) ).

cnf(refute_0_23574,plain,
    ( product(bigC(b,a,b),b) != product(bigC(a,b,b),b)
    | product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(b,a,b),b),product(B,c))
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(a,b,b),b),product(B,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(b,a,b),b),product(B,c))) ),[1,0],$fot(product(bigC(a,b,b),b))]]) ).

cnf(refute_0_23575,plain,
    ( product(bigC(b,a,b),b) != product(bigC(a,b,b),b)
    | product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(a,b,b),b),product(B,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(b,a,b),b),product(B,c))) )],[refute_0_23573,refute_0_23574]) ).

cnf(refute_0_23576,plain,
    product(product(bigC(b,a,b),b),product(B,c)) = product(product(bigC(a,b,b),b),product(B,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),b),product(bigC(a,b,b),b)) )],[refute_0_10929,refute_0_23575]) ).

cnf(refute_0_23577,plain,
    ( product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(a,b,b),b),product(B,c))
    | product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(a,b,b),b),product(B,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(b,a,b),B),product(b,c))) ),[0],$fot(product(product(bigC(a,b,b),b),product(B,c)))]]) ).

cnf(refute_0_23578,plain,
    ( product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(a,b,b),b),product(B,c)) = product(product(bigC(b,a,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(a,b,b),b),product(B,c))) )],[refute_0_23576,refute_0_23577]) ).

cnf(refute_0_23579,plain,
    product(bigC(b,a,b),B) = product(bigC(b,a,b),B),
    introduced(tautology,[refl,[$fot(product(bigC(b,a,b),B))]]) ).

cnf(refute_0_23580,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),B) != product(bigC(b,a,b),B)
    | product(bigC(b,a,b),B) = product(bigC(a,b,b),B) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,a,b),B),product(bigC(b,a,b),B)) ),[1,0],$fot(bigC(a,b,b))]]) ).

cnf(refute_0_23581,plain,
    ( bigC(b,a,b) != bigC(a,b,b)
    | product(bigC(b,a,b),B) = product(bigC(a,b,b),B) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),B),product(bigC(b,a,b),B)) )],[refute_0_23579,refute_0_23580]) ).

cnf(refute_0_23582,plain,
    product(bigC(b,a,b),B) = product(bigC(a,b,b),B),
    inference(resolve,[$cnf( $equal(bigC(b,a,b),bigC(a,b,b)) )],[refute_0_4257,refute_0_23581]) ).

cnf(refute_0_23583,plain,
    product(product(bigC(b,a,b),B),product(b,c)) = product(product(bigC(b,a,b),B),product(b,c)),
    introduced(tautology,[refl,[$fot(product(product(bigC(b,a,b),B),product(b,c)))]]) ).

cnf(refute_0_23584,plain,
    ( product(bigC(b,a,b),B) != product(bigC(a,b,b),B)
    | product(product(bigC(b,a,b),B),product(b,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(b,a,b),B),product(b,c)) = product(product(bigC(a,b,b),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(b,a,b),B),product(b,c)),product(product(bigC(b,a,b),B),product(b,c))) ),[1,0],$fot(product(bigC(a,b,b),B))]]) ).

cnf(refute_0_23585,plain,
    ( product(bigC(b,a,b),B) != product(bigC(a,b,b),B)
    | product(product(bigC(b,a,b),B),product(b,c)) = product(product(bigC(a,b,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),B),product(b,c)),product(product(bigC(b,a,b),B),product(b,c))) )],[refute_0_23583,refute_0_23584]) ).

cnf(refute_0_23586,plain,
    product(product(bigC(b,a,b),B),product(b,c)) = product(product(bigC(a,b,b),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,a,b),B),product(bigC(a,b,b),B)) )],[refute_0_23582,refute_0_23585]) ).

cnf(refute_0_23587,plain,
    ( product(product(bigC(a,b,b),b),product(B,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(b,a,b),B),product(b,c)) != product(product(bigC(a,b,b),B),product(b,c))
    | product(product(bigC(a,b,b),b),product(B,c)) = product(product(bigC(a,b,b),B),product(b,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,b,b),b),product(B,c)),product(product(bigC(a,b,b),B),product(b,c))) ),[0],$fot(product(product(bigC(b,a,b),B),product(b,c)))]]) ).

cnf(refute_0_23588,plain,
    ( product(product(bigC(a,b,b),b),product(B,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(a,b,b),b),product(B,c)) = product(product(bigC(a,b,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),B),product(b,c)),product(product(bigC(a,b,b),B),product(b,c))) )],[refute_0_23586,refute_0_23587]) ).

cnf(refute_0_23589,plain,
    ( product(product(bigC(b,a,b),b),product(B,c)) != product(product(bigC(b,a,b),B),product(b,c))
    | product(product(bigC(a,b,b),b),product(B,c)) = product(product(bigC(a,b,b),B),product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),b),product(B,c)),product(product(bigC(b,a,b),B),product(b,c))) )],[refute_0_23578,refute_0_23588]) ).

cnf(refute_0_23590,plain,
    product(product(bigC(a,b,b),b),product(B,c)) = product(product(bigC(a,b,b),B),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(b,a,b),b),product(B,c)),product(product(bigC(b,a,b),B),product(b,c))) )],[refute_0_23572,refute_0_23589]) ).

cnf(refute_0_23591,plain,
    ( product(product(bigC(a,b,b),b),product(B,c)) != product(product(bigC(a,b,b),B),product(b,c))
    | product(product(bigC(a,b,b),B),product(b,c)) = product(product(bigC(a,b,b),b),product(B,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,b,b),b),product(B,c)))),bind(Y,$fot(product(product(bigC(a,b,b),B),product(b,c))))]]) ).

cnf(refute_0_23592,plain,
    product(product(bigC(a,b,b),B),product(b,c)) = product(product(bigC(a,b,b),b),product(B,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),b),product(B,c)),product(product(bigC(a,b,b),B),product(b,c))) )],[refute_0_23590,refute_0_23591]) ).

cnf(refute_0_23593,plain,
    product(product(bigC(a,b,b),c),product(b,c)) = product(product(bigC(a,b,b),b),product(c,c)),
    inference(subst,[],[refute_0_23592:[bind(B,$fot(c))]]) ).

cnf(refute_0_23594,plain,
    bigC(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c)),X_23) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))),
    inference(subst,[],[refute_0_84:[bind(B,$fot(bigC(b,b,c))),bind(X_21,$fot(bigC(a,b,b)))]]) ).

cnf(refute_0_23595,plain,
    ( bigC(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c)),X_23) != product(bigC(b,b,c),product(X_23,bigC(a,b,b)))
    | difference(bigC(a,b,b),bigC(b,b,c)) != quotient(product(b,c),bigC(a,b,b))
    | bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c)),X_23),product(bigC(b,b,c),product(X_23,bigC(a,b,b)))) ),[0,1],$fot(quotient(product(b,c),bigC(a,b,b)))]]) ).

cnf(refute_0_23596,plain,
    ( bigC(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c)),X_23) != product(bigC(b,b,c),product(X_23,bigC(a,b,b)))
    | bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(difference(bigC(a,b,b),bigC(b,b,c)),quotient(product(b,c),bigC(a,b,b))) )],[refute_0_18596,refute_0_23595]) ).

cnf(refute_0_23597,plain,
    bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),difference(bigC(a,b,b),bigC(b,b,c)),X_23),product(bigC(b,b,c),product(X_23,bigC(a,b,b)))) )],[refute_0_23594,refute_0_23596]) ).

cnf(refute_0_23598,plain,
    bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) = product(product(bigC(a,b,b),X_23),product(b,c)),
    inference(subst,[],[refute_0_2062:[bind(A,$fot(product(b,c))),bind(X_21,$fot(bigC(a,b,b))),bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_23599,plain,
    ( bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) != product(bigC(b,b,c),product(X_23,bigC(a,b,b)))
    | bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) != product(product(bigC(a,b,b),X_23),product(b,c))
    | product(product(bigC(a,b,b),X_23),product(b,c)) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23),product(bigC(b,b,c),product(X_23,bigC(a,b,b)))) ),[0],$fot(product(product(bigC(a,b,b),X_23),product(b,c)))]]) ).

cnf(refute_0_23600,plain,
    ( bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23) != product(bigC(b,b,c),product(X_23,bigC(a,b,b)))
    | product(product(bigC(a,b,b),X_23),product(b,c)) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))) ),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23),product(product(bigC(a,b,b),X_23),product(b,c))) )],[refute_0_23598,refute_0_23599]) ).

cnf(refute_0_23601,plain,
    product(product(bigC(a,b,b),X_23),product(b,c)) = product(bigC(b,b,c),product(X_23,bigC(a,b,b))),
    inference(resolve,[$cnf( $equal(bigC(bigC(a,b,b),quotient(product(b,c),bigC(a,b,b)),X_23),product(bigC(b,b,c),product(X_23,bigC(a,b,b)))) )],[refute_0_23597,refute_0_23600]) ).

cnf(refute_0_23602,plain,
    ( product(product(bigC(a,b,b),X_23),product(b,c)) != product(bigC(b,b,c),product(X_23,bigC(a,b,b)))
    | product(bigC(b,b,c),product(X_23,bigC(a,b,b))) = product(product(bigC(a,b,b),X_23),product(b,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,b,b),X_23),product(b,c)))),bind(Y,$fot(product(bigC(b,b,c),product(X_23,bigC(a,b,b)))))]]) ).

cnf(refute_0_23603,plain,
    product(bigC(b,b,c),product(X_23,bigC(a,b,b))) = product(product(bigC(a,b,b),X_23),product(b,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),X_23),product(b,c)),product(bigC(b,b,c),product(X_23,bigC(a,b,b)))) )],[refute_0_23601,refute_0_23602]) ).

cnf(refute_0_23604,plain,
    product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),c),product(b,c)),
    inference(subst,[],[refute_0_23603:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_23605,plain,
    ( product(bigC(b,b,c),product(c,bigC(a,b,b))) != product(product(bigC(a,b,b),c),product(b,c))
    | product(product(bigC(a,b,b),c),product(b,c)) != product(product(bigC(a,b,b),b),product(c,c))
    | product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),b),product(c,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,bigC(a,b,b))))),bind(Y,$fot(product(product(bigC(a,b,b),c),product(b,c)))),bind(Z,$fot(product(product(bigC(a,b,b),b),product(c,c))))]]) ).

cnf(refute_0_23606,plain,
    ( product(product(bigC(a,b,b),c),product(b,c)) != product(product(bigC(a,b,b),b),product(c,c))
    | product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),b),product(c,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(a,b,b))),product(product(bigC(a,b,b),c),product(b,c))) )],[refute_0_23604,refute_0_23605]) ).

cnf(refute_0_23607,plain,
    product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),b),product(c,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),c),product(b,c)),product(product(bigC(a,b,b),b),product(c,c))) )],[refute_0_23593,refute_0_23606]) ).

cnf(refute_0_23608,plain,
    ( product(bigC(b,b,c),product(c,bigC(a,b,b))) != product(product(bigC(a,b,b),b),product(c,c))
    | product(product(bigC(a,b,b),b),product(c,c)) != product(product(bigC(a,b,b),b),c)
    | product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,c),product(c,bigC(a,b,b))))),bind(Y,$fot(product(product(bigC(a,b,b),b),product(c,c)))),bind(Z,$fot(product(product(bigC(a,b,b),b),c)))]]) ).

cnf(refute_0_23609,plain,
    ( product(product(bigC(a,b,b),b),product(c,c)) != product(product(bigC(a,b,b),b),c)
    | product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),b),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(a,b,b))),product(product(bigC(a,b,b),b),product(c,c))) )],[refute_0_23607,refute_0_23608]) ).

cnf(refute_0_23610,plain,
    product(bigC(b,b,c),product(c,bigC(a,b,b))) = product(product(bigC(a,b,b),b),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,b,b),b),product(c,c)),product(product(bigC(a,b,b),b),c)) )],[refute_0_23502,refute_0_23609]) ).

cnf(refute_0_23611,plain,
    product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))))]]) ).

cnf(refute_0_23612,plain,
    ( product(bigC(b,b,c),product(c,bigC(a,b,b))) != product(product(bigC(a,b,b),b),c)
    | product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) != product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))
    | product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))) ),[1,1],$fot(product(product(bigC(a,b,b),b),c))]]) ).

cnf(refute_0_23613,plain,
    ( product(bigC(b,b,c),product(c,bigC(a,b,b))) != product(product(bigC(a,b,b),b),c)
    | product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))) )],[refute_0_23611,refute_0_23612]) ).

cnf(refute_0_23614,plain,
    product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,c),product(c,bigC(a,b,b))),product(product(bigC(a,b,b),b),c)) )],[refute_0_23610,refute_0_23613]) ).

cnf(refute_0_23615,plain,
    ( product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) != product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c))
    | product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) != product(product(a,bigC(b,b,c)),c)
    | product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(a,bigC(b,b,c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))))),bind(Y,$fot(product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)))),bind(Z,$fot(product(product(a,bigC(b,b,c)),c)))]]) ).

cnf(refute_0_23616,plain,
    ( product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)) != product(product(a,bigC(b,b,c)),c)
    | product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(a,bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c))) )],[refute_0_23614,refute_0_23615]) ).

cnf(refute_0_23617,plain,
    product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) = product(product(a,bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),c),product(product(bigC(a,b,b),b),c)),product(product(a,bigC(b,b,c)),c)) )],[refute_0_23498,refute_0_23616]) ).

cnf(refute_0_23618,plain,
    ( product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))) != product(product(a,bigC(b,b,c)),c)
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(a,bigC(b,b,c)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))) ),[1],$fot(product(product(a,bigC(b,b,c)),c))]]) ).

cnf(refute_0_23619,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(a,bigC(b,b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b)))),product(product(a,bigC(b,b,c)),c)) )],[refute_0_23617,refute_0_23618]) ).

cnf(refute_0_23620,plain,
    quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) = product(product(a,bigC(b,b,c)),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(product(bigC(a,a,c),a),c),product(bigC(b,b,c),product(c,bigC(a,b,b))))) )],[refute_0_23471,refute_0_23619]) ).

cnf(refute_0_23621,plain,
    ( product(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(bigC(a,a,c),c),c)) != bigC(a,b,product(a,b))
    | quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)) != product(product(a,bigC(b,b,c)),c)
    | product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(bigC(a,a,c),c),c)),bigC(a,b,product(a,b))) ),[0,0],$fot(product(product(a,bigC(b,b,c)),c))]]) ).

cnf(refute_0_23622,plain,
    ( product(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(bigC(a,a,c),c),c)) != bigC(a,b,product(a,b))
    | product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(a,bigC(b,b,c)),c)) )],[refute_0_23620,refute_0_23621]) ).

cnf(refute_0_23623,plain,
    product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(quotient(bigC(a,b,product(a,b)),product(product(bigC(a,a,c),c),c)),product(product(bigC(a,a,c),c),c)),bigC(a,b,product(a,b))) )],[refute_0_23121,refute_0_23622]) ).

cnf(refute_0_23624,plain,
    product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c) = product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(c)),bind(X_63,$fot(a)),bind(X_64,$fot(bigC(a,a,c))),bind(X_65,$fot(bigC(b,b,c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23625,plain,
    product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(product(a,bigC(b,b,c)))),bind(X_64,$fot(product(bigC(a,a,c),c))),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23626,plain,
    ( product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c)
    | product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c) != product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)
    | product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)))),bind(Y,$fot(product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c))),bind(Z,$fot(product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)))]]) ).

cnf(refute_0_23627,plain,
    ( product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c) != product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)
    | product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)),product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c)) )],[refute_0_23625,refute_0_23626]) ).

cnf(refute_0_23628,plain,
    product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) = product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,b,c)),product(bigC(a,a,c),c)),c),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)) )],[refute_0_23624,refute_0_23627]) ).

cnf(refute_0_23629,plain,
    ( product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) != bigC(a,b,product(a,b))
    | product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) != product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)
    | product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)),bigC(a,b,product(a,b))) ),[0],$fot(product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))]]) ).

cnf(refute_0_23630,plain,
    ( product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)) != bigC(a,b,product(a,b))
    | product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)) )],[refute_0_23628,refute_0_23629]) ).

cnf(refute_0_23631,plain,
    product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(b,b,c)),c),product(product(bigC(a,a,c),c),c)),bigC(a,b,product(a,b))) )],[refute_0_23623,refute_0_23630]) ).

cnf(refute_0_23632,plain,
    ( bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(c,product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))
    | product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) != bigC(a,b,product(a,b))
    | bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(c,product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23633,plain,
    ( bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(c,product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))
    | bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c),bigC(a,b,product(a,b))) )],[refute_0_23631,refute_0_23632]) ).

cnf(refute_0_23634,plain,
    bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(c,product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))) )],[refute_0_23120,refute_0_23633]) ).

cnf(refute_0_23635,plain,
    bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(c,B),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(C,$fot(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))))]]) ).

cnf(refute_0_23636,plain,
    ( bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(product(c,B),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))
    | product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c) != bigC(a,b,product(a,b))
    | bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(c,B),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(product(c,B),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23637,plain,
    ( bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(product(c,B),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))
    | bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(c,B),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c),bigC(a,b,product(a,b))) )],[refute_0_23631,refute_0_23636]) ).

cnf(refute_0_23638,plain,
    bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(c,B),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(product(c,B),product(product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c)),c))) )],[refute_0_23635,refute_0_23637]) ).

cnf(refute_0_23639,plain,
    bigC(c,X_22,quotient(bigC(a,b,product(a,b)),c)) = product(product(c,X_22),bigC(a,b,product(a,b))),
    inference(subst,[],[refute_0_356:[bind(A,$fot(bigC(a,b,product(a,b)))),bind(X_21,$fot(c))]]) ).

cnf(refute_0_23640,plain,
    quotient(bigC(product(a,c),c,product(c,b)),product(product(c,b),product(a,c))) = product(product(a,c),c),
    inference(subst,[],[refute_0_78:[bind(X_21,$fot(product(a,c))),bind(X_22,$fot(c)),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_23641,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,a,c))
    | product(product(a,b),bigC(c,a,c)) != product(product(a,product(b,c)),c)
    | bigC(product(a,c),c,product(c,b)) = product(product(a,product(b,c)),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),c,product(c,b)),product(product(a,product(b,c)),c)) ),[0],$fot(product(product(a,b),bigC(c,a,c)))]]) ).

cnf(refute_0_23642,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,b),bigC(c,a,c))
    | bigC(product(a,c),c,product(c,b)) = product(product(a,product(b,c)),c) ),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(c,a,c)),product(product(a,product(b,c)),c)) )],[refute_0_3998,refute_0_23641]) ).

cnf(refute_0_23643,plain,
    bigC(product(a,c),c,product(c,b)) = product(product(a,product(b,c)),c),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(c,b)),product(product(a,b),bigC(c,a,c))) )],[refute_0_3950,refute_0_23642]) ).

cnf(refute_0_23644,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,product(b,c)),c)
    | product(product(a,product(b,c)),c) != bigC(a,b,product(a,b))
    | bigC(product(a,c),c,product(c,b)) = bigC(a,b,product(a,b)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(a,c),c,product(c,b)),bigC(a,b,product(a,b))) ),[0],$fot(product(product(a,product(b,c)),c))]]) ).

cnf(refute_0_23645,plain,
    ( bigC(product(a,c),c,product(c,b)) != product(product(a,product(b,c)),c)
    | bigC(product(a,c),c,product(c,b)) = bigC(a,b,product(a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(b,c)),c),bigC(a,b,product(a,b))) )],[refute_0_4019,refute_0_23644]) ).

cnf(refute_0_23646,plain,
    bigC(product(a,c),c,product(c,b)) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(c,b)),product(product(a,product(b,c)),c)) )],[refute_0_23643,refute_0_23645]) ).

cnf(refute_0_23647,plain,
    ( bigC(product(a,c),c,product(c,b)) != bigC(a,b,product(a,b))
    | quotient(bigC(product(a,c),c,product(c,b)),product(product(c,b),product(a,c))) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(product(a,c),c,product(c,b)),product(product(c,b),product(a,c))),product(product(a,c),c)) ),[0,0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23648,plain,
    ( quotient(bigC(product(a,c),c,product(c,b)),product(product(c,b),product(a,c))) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,c),c,product(c,b)),bigC(a,b,product(a,b))) )],[refute_0_23646,refute_0_23647]) ).

cnf(refute_0_23649,plain,
    quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = product(product(a,c),c),
    inference(resolve,[$cnf( $equal(quotient(bigC(product(a,c),c,product(c,b)),product(product(c,b),product(a,c))),product(product(a,c),c)) )],[refute_0_23640,refute_0_23648]) ).

cnf(refute_0_23650,plain,
    quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))),
    introduced(tautology,[refl,[$fot(quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))))]]) ).

cnf(refute_0_23651,plain,
    ( product(product(c,b),product(a,c)) != c
    | quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) != quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c)))
    | quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = quotient(bigC(a,b,product(a,b)),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))),quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c)))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_23652,plain,
    ( product(product(c,b),product(a,c)) != c
    | quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = quotient(bigC(a,b,product(a,b)),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))),quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c)))) )],[refute_0_23650,refute_0_23651]) ).

cnf(refute_0_23653,plain,
    quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) = quotient(bigC(a,b,product(a,b)),c),
    inference(resolve,[$cnf( $equal(product(product(c,b),product(a,c)),c) )],[refute_0_3809,refute_0_23652]) ).

cnf(refute_0_23654,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) != quotient(bigC(a,b,product(a,b)),c)
    | quotient(bigC(a,b,product(a,b)),c) = product(product(a,c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))),product(product(a,c),c)) ),[0],$fot(quotient(bigC(a,b,product(a,b)),c))]]) ).

cnf(refute_0_23655,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),c) = product(product(a,c),c) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))),quotient(bigC(a,b,product(a,b)),c)) )],[refute_0_23653,refute_0_23654]) ).

cnf(refute_0_23656,plain,
    ( product(product(a,c),c) != product(a,product(b,c))
    | quotient(bigC(a,b,product(a,b)),c) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),c) = product(a,product(b,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),c),product(product(a,c),c)) ),[1],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_23657,plain,
    ( quotient(bigC(a,b,product(a,b)),c) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(product(product(a,c),c),product(a,product(b,c))) )],[refute_0_448,refute_0_23656]) ).

cnf(refute_0_23658,plain,
    ( quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))) != product(product(a,c),c)
    | quotient(bigC(a,b,product(a,b)),c) = product(a,product(b,c)) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),c),product(product(a,c),c)) )],[refute_0_23655,refute_0_23657]) ).

cnf(refute_0_23659,plain,
    quotient(bigC(a,b,product(a,b)),c) = product(a,product(b,c)),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),product(product(c,b),product(a,c))),product(product(a,c),c)) )],[refute_0_23649,refute_0_23658]) ).

cnf(refute_0_23660,plain,
    ( bigC(c,X_22,quotient(bigC(a,b,product(a,b)),c)) != product(product(c,X_22),bigC(a,b,product(a,b)))
    | quotient(bigC(a,b,product(a,b)),c) != product(a,product(b,c))
    | bigC(c,X_22,product(a,product(b,c))) = product(product(c,X_22),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,quotient(bigC(a,b,product(a,b)),c)),product(product(c,X_22),bigC(a,b,product(a,b)))) ),[0,2],$fot(product(a,product(b,c)))]]) ).

cnf(refute_0_23661,plain,
    ( bigC(c,X_22,quotient(bigC(a,b,product(a,b)),c)) != product(product(c,X_22),bigC(a,b,product(a,b)))
    | bigC(c,X_22,product(a,product(b,c))) = product(product(c,X_22),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(quotient(bigC(a,b,product(a,b)),c),product(a,product(b,c))) )],[refute_0_23659,refute_0_23660]) ).

cnf(refute_0_23662,plain,
    bigC(c,X_22,product(a,product(b,c))) = product(product(c,X_22),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,quotient(bigC(a,b,product(a,b)),c)),product(product(c,X_22),bigC(a,b,product(a,b)))) )],[refute_0_23639,refute_0_23661]) ).

cnf(refute_0_23663,plain,
    bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),product(a,product(b,c)),X_23) = product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))),
    inference(subst,[],[refute_0_1046:[bind(A,$fot(product(bigC(a,a,b),c))),bind(X_22,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_23664,plain,
    quotient(product(c,product(a,product(b,c))),product(a,product(b,c))) = c,
    inference(subst,[],[sos03:[bind(A,$fot(c)),bind(B,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_23665,plain,
    ( product(c,product(a,product(b,c))) != product(bigC(a,a,b),c)
    | quotient(product(c,product(a,product(b,c))),product(a,product(b,c))) != c
    | quotient(product(bigC(a,a,b),c),product(a,product(b,c))) = c ),
    introduced(tautology,[equality,[$cnf( $equal(quotient(product(c,product(a,product(b,c))),product(a,product(b,c))),c) ),[0,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_23666,plain,
    ( quotient(product(c,product(a,product(b,c))),product(a,product(b,c))) != c
    | quotient(product(bigC(a,a,b),c),product(a,product(b,c))) = c ),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,c))),product(bigC(a,a,b),c)) )],[refute_0_1627,refute_0_23665]) ).

cnf(refute_0_23667,plain,
    quotient(product(bigC(a,a,b),c),product(a,product(b,c))) = c,
    inference(resolve,[$cnf( $equal(quotient(product(c,product(a,product(b,c))),product(a,product(b,c))),c) )],[refute_0_23664,refute_0_23666]) ).

cnf(refute_0_23668,plain,
    ( bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),product(a,product(b,c)),X_23) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | quotient(product(bigC(a,a,b),c),product(a,product(b,c))) != c
    | bigC(c,product(a,product(b,c)),X_23) = product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),product(a,product(b,c)),X_23),product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))) ),[0,0],$fot(c)]]) ).

cnf(refute_0_23669,plain,
    ( bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),product(a,product(b,c)),X_23) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | bigC(c,product(a,product(b,c)),X_23) = product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),c) )],[refute_0_23667,refute_0_23668]) ).

cnf(refute_0_23670,plain,
    bigC(c,product(a,product(b,c)),X_23) = product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),product(a,product(b,c)),X_23),product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))) )],[refute_0_23663,refute_0_23669]) ).

cnf(refute_0_23671,plain,
    bigC(c,product(a,product(b,c)),C) = product(product(c,product(a,product(b,c))),product(C,c)),
    inference(subst,[],[sos08:[bind(A,$fot(c)),bind(B,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_23672,plain,
    ( bigC(c,product(a,product(b,c)),C) != product(product(c,product(a,product(b,c))),product(C,c))
    | product(c,product(a,product(b,c))) != product(bigC(a,a,b),c)
    | bigC(c,product(a,product(b,c)),C) = product(product(bigC(a,a,b),c),product(C,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,product(b,c)),C),product(product(c,product(a,product(b,c))),product(C,c))) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_23673,plain,
    ( bigC(c,product(a,product(b,c)),C) != product(product(c,product(a,product(b,c))),product(C,c))
    | bigC(c,product(a,product(b,c)),C) = product(product(bigC(a,a,b),c),product(C,c)) ),
    inference(resolve,[$cnf( $equal(product(c,product(a,product(b,c))),product(bigC(a,a,b),c)) )],[refute_0_1627,refute_0_23672]) ).

cnf(refute_0_23674,plain,
    bigC(c,product(a,product(b,c)),C) = product(product(bigC(a,a,b),c),product(C,c)),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(b,c)),C),product(product(c,product(a,product(b,c))),product(C,c))) )],[refute_0_23671,refute_0_23673]) ).

cnf(refute_0_23675,plain,
    product(product(bigC(a,a,b),c),product(C,c)) = product(product(bigC(a,a,b),C),c),
    inference(subst,[],[refute_0_206:[bind(X_63,$fot(bigC(a,a,b))),bind(X_64,$fot(C)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23676,plain,
    ( bigC(c,product(a,product(b,c)),C) != product(product(bigC(a,a,b),c),product(C,c))
    | product(product(bigC(a,a,b),c),product(C,c)) != product(product(bigC(a,a,b),C),c)
    | bigC(c,product(a,product(b,c)),C) = product(product(bigC(a,a,b),C),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,product(a,product(b,c)),C),product(product(bigC(a,a,b),C),c)) ),[0],$fot(product(product(bigC(a,a,b),c),product(C,c)))]]) ).

cnf(refute_0_23677,plain,
    ( bigC(c,product(a,product(b,c)),C) != product(product(bigC(a,a,b),c),product(C,c))
    | bigC(c,product(a,product(b,c)),C) = product(product(bigC(a,a,b),C),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(C,c)),product(product(bigC(a,a,b),C),c)) )],[refute_0_23675,refute_0_23676]) ).

cnf(refute_0_23678,plain,
    bigC(c,product(a,product(b,c)),C) = product(product(bigC(a,a,b),C),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(b,c)),C),product(product(bigC(a,a,b),c),product(C,c))) )],[refute_0_23674,refute_0_23677]) ).

cnf(refute_0_23679,plain,
    bigC(c,product(a,product(b,c)),X_23) = product(product(bigC(a,a,b),X_23),c),
    inference(subst,[],[refute_0_23678:[bind(C,$fot(X_23))]]) ).

cnf(refute_0_23680,plain,
    ( bigC(c,product(a,product(b,c)),X_23) != product(product(bigC(a,a,b),X_23),c)
    | bigC(c,product(a,product(b,c)),X_23) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | product(product(bigC(a,a,b),X_23),c) = product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,product(a,product(b,c)),X_23),product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))) ),[0],$fot(product(product(bigC(a,a,b),X_23),c))]]) ).

cnf(refute_0_23681,plain,
    ( bigC(c,product(a,product(b,c)),X_23) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | product(product(bigC(a,a,b),X_23),c) = product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(b,c)),X_23),product(product(bigC(a,a,b),X_23),c)) )],[refute_0_23679,refute_0_23680]) ).

cnf(refute_0_23682,plain,
    bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) = bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))),
    introduced(tautology,[refl,[$fot(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))))]]) ).

cnf(refute_0_23683,plain,
    ( bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) != bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c)))
    | quotient(product(bigC(a,a,b),c),product(a,product(b,c))) != c
    | bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) = bigC(c,X_23,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))),bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c)))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_23684,plain,
    ( quotient(product(bigC(a,a,b),c),product(a,product(b,c))) != c
    | bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) = bigC(c,X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))),bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c)))) )],[refute_0_23682,refute_0_23683]) ).

cnf(refute_0_23685,plain,
    bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) = bigC(c,X_23,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),c) )],[refute_0_23667,refute_0_23684]) ).

cnf(refute_0_23686,plain,
    product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) = bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))),
    inference(subst,[],[refute_0_1568:[bind(A,$fot(product(bigC(a,a,b),c))),bind(X_22,$fot(product(a,product(b,c))))]]) ).

cnf(refute_0_23687,plain,
    ( bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) != bigC(c,X_23,product(a,product(b,c)))
    | product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) != bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c)))
    | product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) = bigC(c,X_23,product(a,product(b,c))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))))),bind(Y,$fot(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))))),bind(Z,$fot(bigC(c,X_23,product(a,product(b,c)))))]]) ).

cnf(refute_0_23688,plain,
    ( bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))) != bigC(c,X_23,product(a,product(b,c)))
    | product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) = bigC(c,X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))),bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c)))) )],[refute_0_23686,refute_0_23687]) ).

cnf(refute_0_23689,plain,
    product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) = bigC(c,X_23,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(quotient(product(bigC(a,a,b),c),product(a,product(b,c))),X_23,product(a,product(b,c))),bigC(c,X_23,product(a,product(b,c)))) )],[refute_0_23685,refute_0_23688]) ).

cnf(refute_0_23690,plain,
    ( product(product(bigC(a,a,b),X_23),c) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))) != bigC(c,X_23,product(a,product(b,c)))
    | product(product(bigC(a,a,b),X_23),c) = bigC(c,X_23,product(a,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(product(bigC(a,a,b),X_23),c),bigC(c,X_23,product(a,product(b,c)))) ),[0],$fot(product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))))]]) ).

cnf(refute_0_23691,plain,
    ( product(product(bigC(a,a,b),X_23),c) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | product(product(bigC(a,a,b),X_23),c) = bigC(c,X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c))))),bigC(c,X_23,product(a,product(b,c)))) )],[refute_0_23689,refute_0_23690]) ).

cnf(refute_0_23692,plain,
    ( bigC(c,product(a,product(b,c)),X_23) != product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))
    | product(product(bigC(a,a,b),X_23),c) = bigC(c,X_23,product(a,product(b,c))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_23),c),product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))) )],[refute_0_23681,refute_0_23691]) ).

cnf(refute_0_23693,plain,
    product(product(bigC(a,a,b),X_23),c) = bigC(c,X_23,product(a,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,product(b,c)),X_23),product(product(bigC(a,a,b),c),product(X_23,quotient(product(bigC(a,a,b),c),product(a,product(b,c)))))) )],[refute_0_23670,refute_0_23692]) ).

cnf(refute_0_23694,plain,
    ( product(product(bigC(a,a,b),X_23),c) != bigC(c,X_23,product(a,product(b,c)))
    | bigC(c,X_23,product(a,product(b,c))) = product(product(bigC(a,a,b),X_23),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,b),X_23),c))),bind(Y,$fot(bigC(c,X_23,product(a,product(b,c)))))]]) ).

cnf(refute_0_23695,plain,
    bigC(c,X_23,product(a,product(b,c))) = product(product(bigC(a,a,b),X_23),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_23),c),bigC(c,X_23,product(a,product(b,c)))) )],[refute_0_23693,refute_0_23694]) ).

cnf(refute_0_23696,plain,
    bigC(c,X_22,product(a,product(b,c))) = product(product(bigC(a,a,b),X_22),c),
    inference(subst,[],[refute_0_23695:[bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_23697,plain,
    ( bigC(c,X_22,product(a,product(b,c))) != product(product(bigC(a,a,b),X_22),c)
    | bigC(c,X_22,product(a,product(b,c))) != product(product(c,X_22),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),X_22),c) = product(product(c,X_22),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,X_22,product(a,product(b,c))),product(product(c,X_22),bigC(a,b,product(a,b)))) ),[0],$fot(product(product(bigC(a,a,b),X_22),c))]]) ).

cnf(refute_0_23698,plain,
    ( bigC(c,X_22,product(a,product(b,c))) != product(product(c,X_22),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),X_22),c) = product(product(c,X_22),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(a,product(b,c))),product(product(bigC(a,a,b),X_22),c)) )],[refute_0_23696,refute_0_23697]) ).

cnf(refute_0_23699,plain,
    product(product(bigC(a,a,b),X_22),c) = product(product(c,X_22),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,X_22,product(a,product(b,c))),product(product(c,X_22),bigC(a,b,product(a,b)))) )],[refute_0_23662,refute_0_23698]) ).

cnf(refute_0_23700,plain,
    ( product(product(bigC(a,a,b),X_22),c) != product(product(c,X_22),bigC(a,b,product(a,b)))
    | product(product(c,X_22),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_22),c) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,b),X_22),c))),bind(Y,$fot(product(product(c,X_22),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_23701,plain,
    product(product(c,X_22),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),X_22),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),X_22),c),product(product(c,X_22),bigC(a,b,product(a,b)))) )],[refute_0_23699,refute_0_23700]) ).

cnf(refute_0_23702,plain,
    product(product(c,B),bigC(a,b,product(a,b))) = product(product(bigC(a,a,b),B),c),
    inference(subst,[],[refute_0_23701:[bind(X_22,$fot(B))]]) ).

cnf(refute_0_23703,plain,
    ( bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(product(c,B),bigC(a,b,product(a,b)))
    | product(product(c,B),bigC(a,b,product(a,b))) != product(product(bigC(a,a,b),B),c)
    | bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(bigC(a,a,b),B),c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(product(bigC(a,a,b),B),c)) ),[0],$fot(product(product(c,B),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23704,plain,
    ( bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(product(c,B),bigC(a,b,product(a,b)))
    | bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(bigC(a,a,b),B),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),bigC(a,b,product(a,b))),product(product(bigC(a,a,b),B),c)) )],[refute_0_23702,refute_0_23703]) ).

cnf(refute_0_23705,plain,
    bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(bigC(a,a,b),B),c),
    inference(resolve,[$cnf( $equal(bigC(c,B,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(product(c,B),bigC(a,b,product(a,b)))) )],[refute_0_23638,refute_0_23704]) ).

cnf(refute_0_23706,plain,
    bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) = product(product(bigC(a,a,b),c),c),
    inference(subst,[],[refute_0_23705:[bind(B,$fot(c))]]) ).

cnf(refute_0_23707,plain,
    ( bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(c,bigC(a,b,product(a,b)))
    | bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(product(bigC(a,a,b),c),c)
    | product(product(bigC(a,a,b),c),c) = product(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(c,bigC(a,b,product(a,b)))) ),[0],$fot(product(product(bigC(a,a,b),c),c))]]) ).

cnf(refute_0_23708,plain,
    ( bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))) != product(c,bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,b),c),c) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(product(bigC(a,a,b),c),c)) )],[refute_0_23706,refute_0_23707]) ).

cnf(refute_0_23709,plain,
    product(product(bigC(a,a,b),c),c) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(product(a,bigC(a,a,c)),product(bigC(b,b,c),c))),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23634,refute_0_23708]) ).

cnf(refute_0_23710,plain,
    ( product(product(A,product(bigC(a,a,b),c)),product(C,c)) != product(product(A,C),product(product(bigC(a,a,b),c),c))
    | product(product(bigC(a,a,b),c),c) != product(c,bigC(a,b,product(a,b)))
    | product(product(A,product(bigC(a,a,b),c)),product(C,c)) = product(product(A,C),product(c,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,product(bigC(a,a,b),c)),product(C,c)),product(product(A,C),product(product(bigC(a,a,b),c),c))) ),[1,1],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23711,plain,
    ( product(product(A,product(bigC(a,a,b),c)),product(C,c)) != product(product(A,C),product(product(bigC(a,a,b),c),c))
    | product(product(A,product(bigC(a,a,b),c)),product(C,c)) = product(product(A,C),product(c,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),c),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23709,refute_0_23710]) ).

cnf(refute_0_23712,plain,
    product(product(A,product(bigC(a,a,b),c)),product(C,c)) = product(product(A,C),product(c,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,product(bigC(a,a,b),c)),product(C,c)),product(product(A,C),product(product(bigC(a,a,b),c),c))) )],[refute_0_23119,refute_0_23711]) ).

cnf(refute_0_23713,plain,
    ( product(product(A,product(bigC(a,a,b),c)),product(C,c)) != product(product(A,C),product(c,bigC(a,b,product(a,b))))
    | product(product(A,C),product(c,bigC(a,b,product(a,b)))) = product(product(A,product(bigC(a,a,b),c)),product(C,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,product(bigC(a,a,b),c)),product(C,c)))),bind(Y,$fot(product(product(A,C),product(c,bigC(a,b,product(a,b))))))]]) ).

cnf(refute_0_23714,plain,
    product(product(A,C),product(c,bigC(a,b,product(a,b)))) = product(product(A,product(bigC(a,a,b),c)),product(C,c)),
    inference(resolve,[$cnf( $equal(product(product(A,product(bigC(a,a,b),c)),product(C,c)),product(product(A,C),product(c,bigC(a,b,product(a,b))))) )],[refute_0_23712,refute_0_23713]) ).

cnf(refute_0_23715,plain,
    product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)),
    inference(subst,[],[refute_0_23714:[bind(A,$fot(b)),bind(C,$fot(product(bigC(a,a,c),a)))]]) ).

cnf(refute_0_23716,plain,
    product(c,product(product(a,b),bigC(a,a,b))) = product(c,product(product(a,b),bigC(a,a,b))),
    introduced(tautology,[refl,[$fot(product(c,product(product(a,b),bigC(a,a,b))))]]) ).

cnf(refute_0_23717,plain,
    ( product(c,product(product(a,b),bigC(a,a,b))) != product(c,product(product(a,b),bigC(a,a,b)))
    | product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(c,product(product(a,b),bigC(a,a,b))) = product(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(a,b),bigC(a,a,b))),product(c,product(product(a,b),bigC(a,a,b)))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23718,plain,
    ( product(product(a,b),bigC(a,a,b)) != bigC(a,b,product(a,b))
    | product(c,product(product(a,b),bigC(a,a,b))) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),bigC(a,a,b))),product(c,product(product(a,b),bigC(a,a,b)))) )],[refute_0_23716,refute_0_23717]) ).

cnf(refute_0_23719,plain,
    product(c,product(product(a,b),bigC(a,a,b))) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(a,b),bigC(a,a,b)),bigC(a,b,product(a,b))) )],[refute_0_4016,refute_0_23718]) ).

cnf(refute_0_23720,plain,
    bigC(c,product(a,b),product(c,product(c,a))) = product(c,product(product(a,b),bigC(a,a,b))),
    inference(subst,[],[refute_0_6611:[bind(B,$fot(product(a,b)))]]) ).

cnf(refute_0_23721,plain,
    ( bigC(c,product(a,b),product(c,product(c,a))) != product(c,product(product(a,b),bigC(a,a,b)))
    | product(c,product(product(a,b),bigC(a,a,b))) != product(c,bigC(a,b,product(a,b)))
    | bigC(c,product(a,b),product(c,product(c,a))) = product(c,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,b),product(c,product(c,a))))),bind(Y,$fot(product(c,product(product(a,b),bigC(a,a,b))))),bind(Z,$fot(product(c,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_23722,plain,
    ( product(c,product(product(a,b),bigC(a,a,b))) != product(c,bigC(a,b,product(a,b)))
    | bigC(c,product(a,b),product(c,product(c,a))) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,product(c,a))),product(c,product(product(a,b),bigC(a,a,b)))) )],[refute_0_23720,refute_0_23721]) ).

cnf(refute_0_23723,plain,
    bigC(c,product(a,b),product(c,product(c,a))) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(product(a,b),bigC(a,a,b))),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23719,refute_0_23722]) ).

cnf(refute_0_23724,plain,
    product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))))]]) ).

cnf(refute_0_23725,plain,
    ( bigC(c,product(a,b),product(c,product(c,a))) != product(c,bigC(a,b,product(a,b)))
    | product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a))))
    | product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a))))) ),[1,1],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23726,plain,
    ( bigC(c,product(a,b),product(c,product(c,a))) != product(c,bigC(a,b,product(a,b)))
    | product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a))))) )],[refute_0_23724,refute_0_23725]) ).

cnf(refute_0_23727,plain,
    product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,product(c,a))),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23723,refute_0_23726]) ).

cnf(refute_0_23728,plain,
    difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(c,a)),product(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(c)),bind(X_16,$fot(product(b,product(c,a))))]]) ).

cnf(refute_0_23729,plain,
    ( difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(product(b,product(c,a)),product(product(b,product(c,a)),c))
    | product(product(b,product(c,a)),c) != product(b,product(a,product(a,c)))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(c,a)),product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),product(product(b,product(c,a)),product(product(b,product(c,a)),c))) ),[1,1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_23730,plain,
    ( difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(product(b,product(c,a)),product(product(b,product(c,a)),c))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(c,a)),product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),c),product(b,product(a,product(a,c)))) )],[refute_0_3913,refute_0_23729]) ).

cnf(refute_0_23731,plain,
    difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(c,a)),product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),product(product(b,product(c,a)),product(product(b,product(c,a)),c))) )],[refute_0_23728,refute_0_23730]) ).

cnf(refute_0_23732,plain,
    bigC(a,a,product(c,a)) = product(bigC(a,a,c),a),
    inference(subst,[],[refute_0_1611:[bind(X_21,$fot(a)),bind(X_84,$fot(c))]]) ).

cnf(refute_0_23733,plain,
    product(b,bigC(a,a,product(c,a))) = product(b,bigC(a,a,product(c,a))),
    introduced(tautology,[refl,[$fot(product(b,bigC(a,a,product(c,a))))]]) ).

cnf(refute_0_23734,plain,
    ( bigC(a,a,product(c,a)) != product(bigC(a,a,c),a)
    | product(b,bigC(a,a,product(c,a))) != product(b,bigC(a,a,product(c,a)))
    | product(b,bigC(a,a,product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(b,bigC(a,a,product(c,a))),product(b,bigC(a,a,product(c,a)))) ),[1,1],$fot(product(bigC(a,a,c),a))]]) ).

cnf(refute_0_23735,plain,
    ( bigC(a,a,product(c,a)) != product(bigC(a,a,c),a)
    | product(b,bigC(a,a,product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,a,product(c,a))),product(b,bigC(a,a,product(c,a)))) )],[refute_0_23733,refute_0_23734]) ).

cnf(refute_0_23736,plain,
    product(b,bigC(a,a,product(c,a))) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(bigC(a,a,product(c,a)),product(bigC(a,a,c),a)) )],[refute_0_23732,refute_0_23735]) ).

cnf(refute_0_23737,plain,
    product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(bigC(b,b,b),bigC(a,a,product(c,a))),
    introduced(tautology,[refl,[$fot(product(bigC(b,b,b),bigC(a,a,product(c,a))))]]) ).

cnf(refute_0_23738,plain,
    ( bigC(b,b,b) != b
    | product(bigC(b,b,b),bigC(a,a,product(c,a))) != product(bigC(b,b,b),bigC(a,a,product(c,a)))
    | product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(b,bigC(a,a,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(b,b,b),bigC(a,a,product(c,a))),product(bigC(b,b,b),bigC(a,a,product(c,a)))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_23739,plain,
    ( bigC(b,b,b) != b
    | product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(b,bigC(a,a,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,b),bigC(a,a,product(c,a))),product(bigC(b,b,b),bigC(a,a,product(c,a)))) )],[refute_0_23737,refute_0_23738]) ).

cnf(refute_0_23740,plain,
    product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(b,bigC(a,a,product(c,a))),
    inference(resolve,[$cnf( $equal(bigC(b,b,b),b) )],[refute_0_3563,refute_0_23739]) ).

cnf(refute_0_23741,plain,
    ( product(b,bigC(a,a,product(c,a))) != product(b,product(bigC(a,a,c),a))
    | product(bigC(b,b,b),bigC(a,a,product(c,a))) != product(b,bigC(a,a,product(c,a)))
    | product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(b,b,b),bigC(a,a,product(c,a))))),bind(Y,$fot(product(b,bigC(a,a,product(c,a))))),bind(Z,$fot(product(b,product(bigC(a,a,c),a))))]]) ).

cnf(refute_0_23742,plain,
    ( product(b,bigC(a,a,product(c,a))) != product(b,product(bigC(a,a,c),a))
    | product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,b),bigC(a,a,product(c,a))),product(b,bigC(a,a,product(c,a)))) )],[refute_0_23740,refute_0_23741]) ).

cnf(refute_0_23743,plain,
    product(bigC(b,b,b),bigC(a,a,product(c,a))) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(b,bigC(a,a,product(c,a))),product(b,product(bigC(a,a,c),a))) )],[refute_0_23736,refute_0_23742]) ).

cnf(refute_0_23744,plain,
    product(product(b,product(b,product(c,a))),bigC(a,a,b)) = product(bigC(b,b,b),bigC(a,a,product(c,a))),
    inference(subst,[],[refute_0_674:[bind(A,$fot(b)),bind(B,$fot(b)),bind(C,$fot(product(c,a))),bind(D,$fot(a))]]) ).

cnf(refute_0_23745,plain,
    ( product(bigC(b,b,b),bigC(a,a,product(c,a))) != product(b,product(bigC(a,a,c),a))
    | product(product(b,product(b,product(c,a))),bigC(a,a,b)) != product(bigC(b,b,b),bigC(a,a,product(c,a)))
    | product(product(b,product(b,product(c,a))),bigC(a,a,b)) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(b,product(c,a))),bigC(a,a,b)))),bind(Y,$fot(product(bigC(b,b,b),bigC(a,a,product(c,a))))),bind(Z,$fot(product(b,product(bigC(a,a,c),a))))]]) ).

cnf(refute_0_23746,plain,
    ( product(bigC(b,b,b),bigC(a,a,product(c,a))) != product(b,product(bigC(a,a,c),a))
    | product(product(b,product(b,product(c,a))),bigC(a,a,b)) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,a))),bigC(a,a,b)),product(bigC(b,b,b),bigC(a,a,product(c,a)))) )],[refute_0_23744,refute_0_23745]) ).

cnf(refute_0_23747,plain,
    product(product(b,product(b,product(c,a))),bigC(a,a,b)) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(bigC(b,b,b),bigC(a,a,product(c,a))),product(b,product(bigC(a,a,c),a))) )],[refute_0_23743,refute_0_23746]) ).

cnf(refute_0_23748,plain,
    product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(product(b,product(b,product(c,a))),bigC(c,a,c)),
    introduced(tautology,[refl,[$fot(product(product(b,product(b,product(c,a))),bigC(c,a,c)))]]) ).

cnf(refute_0_23749,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) != product(product(b,product(b,product(c,a))),bigC(c,a,c))
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(product(b,product(b,product(c,a))),bigC(a,a,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(b,product(c,a))),bigC(c,a,c)),product(product(b,product(b,product(c,a))),bigC(c,a,c))) ),[1,1],$fot(bigC(a,a,b))]]) ).

cnf(refute_0_23750,plain,
    ( bigC(c,a,c) != bigC(a,a,b)
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(product(b,product(b,product(c,a))),bigC(a,a,b)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,a))),bigC(c,a,c)),product(product(b,product(b,product(c,a))),bigC(c,a,c))) )],[refute_0_23748,refute_0_23749]) ).

cnf(refute_0_23751,plain,
    product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(product(b,product(b,product(c,a))),bigC(a,a,b)),
    inference(resolve,[$cnf( $equal(bigC(c,a,c),bigC(a,a,b)) )],[refute_0_1025,refute_0_23750]) ).

cnf(refute_0_23752,plain,
    ( product(product(b,product(b,product(c,a))),bigC(a,a,b)) != product(b,product(bigC(a,a,c),a))
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) != product(product(b,product(b,product(c,a))),bigC(a,a,b))
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(b,product(c,a))),bigC(c,a,c)))),bind(Y,$fot(product(product(b,product(b,product(c,a))),bigC(a,a,b)))),bind(Z,$fot(product(b,product(bigC(a,a,c),a))))]]) ).

cnf(refute_0_23753,plain,
    ( product(product(b,product(b,product(c,a))),bigC(a,a,b)) != product(b,product(bigC(a,a,c),a))
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,a))),bigC(c,a,c)),product(product(b,product(b,product(c,a))),bigC(a,a,b))) )],[refute_0_23751,refute_0_23752]) ).

cnf(refute_0_23754,plain,
    product(product(b,product(b,product(c,a))),bigC(c,a,c)) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,a))),bigC(a,a,b)),product(b,product(bigC(a,a,c),a))) )],[refute_0_23747,refute_0_23753]) ).

cnf(refute_0_23755,plain,
    product(product(b,product(c,a)),product(product(b,product(c,a)),c)) = product(product(b,product(b,product(c,a))),bigC(c,a,c)),
    inference(subst,[],[refute_0_275:[bind(A,$fot(b)),bind(C,$fot(product(b,product(c,a)))),bind(D,$fot(c)),bind(X_82,$fot(a))]]) ).

cnf(refute_0_23756,plain,
    difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) = product(product(b,product(c,a)),product(product(b,product(c,a)),c)),
    inference(subst,[],[refute_0_5747:[bind(X_15,$fot(c)),bind(X_65,$fot(b)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_23757,plain,
    ( difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) != product(product(b,product(c,a)),product(product(b,product(c,a)),c))
    | product(product(b,product(c,a)),product(product(b,product(c,a)),c)) != product(product(b,product(b,product(c,a))),bigC(c,a,c))
    | difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) = product(product(b,product(b,product(c,a))),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))))),bind(Y,$fot(product(product(b,product(c,a)),product(product(b,product(c,a)),c)))),bind(Z,$fot(product(product(b,product(b,product(c,a))),bigC(c,a,c))))]]) ).

cnf(refute_0_23758,plain,
    ( product(product(b,product(c,a)),product(product(b,product(c,a)),c)) != product(product(b,product(b,product(c,a))),bigC(c,a,c))
    | difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) = product(product(b,product(b,product(c,a))),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))),product(product(b,product(c,a)),product(product(b,product(c,a)),c))) )],[refute_0_23756,refute_0_23757]) ).

cnf(refute_0_23759,plain,
    difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) = product(product(b,product(b,product(c,a))),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),product(product(b,product(c,a)),c)),product(product(b,product(b,product(c,a))),bigC(c,a,c))) )],[refute_0_23755,refute_0_23758]) ).

cnf(refute_0_23760,plain,
    difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(c)),bind(X_64,$fot(product(b,product(c,a)))),bind(X_65,$fot(b)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_23761,plain,
    ( difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) != product(product(b,product(b,product(c,a))),bigC(c,a,c))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a)))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(b,product(c,a))),bigC(c,a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))))),bind(Y,$fot(difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))))),bind(Z,$fot(product(product(b,product(b,product(c,a))),bigC(c,a,c))))]]) ).

cnf(refute_0_23762,plain,
    ( difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))) != product(product(b,product(b,product(c,a))),bigC(c,a,c))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(b,product(c,a))),bigC(c,a,c)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a)))) )],[refute_0_23760,refute_0_23761]) ).

cnf(refute_0_23763,plain,
    difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(product(b,product(b,product(c,a))),bigC(c,a,c)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,b),product(product(b,product(c,a)),product(c,a))),product(b,product(c,a))),product(product(b,product(b,product(c,a))),bigC(c,a,c))) )],[refute_0_23759,refute_0_23762]) ).

cnf(refute_0_23764,plain,
    ( difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(product(b,product(b,product(c,a))),bigC(c,a,c))
    | product(product(b,product(b,product(c,a))),bigC(c,a,c)) != product(b,product(bigC(a,a,c),a))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))))),bind(Y,$fot(product(product(b,product(b,product(c,a))),bigC(c,a,c)))),bind(Z,$fot(product(b,product(bigC(a,a,c),a))))]]) ).

cnf(refute_0_23765,plain,
    ( product(product(b,product(b,product(c,a))),bigC(c,a,c)) != product(b,product(bigC(a,a,c),a))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),product(product(b,product(b,product(c,a))),bigC(c,a,c))) )],[refute_0_23763,refute_0_23764]) ).

cnf(refute_0_23766,plain,
    difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,product(b,product(c,a))),bigC(c,a,c)),product(b,product(bigC(a,a,c),a))) )],[refute_0_23754,refute_0_23765]) ).

cnf(refute_0_23767,plain,
    ( difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(b,product(bigC(a,a,c),a))
    | difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(product(b,product(c,a)),product(b,product(a,product(a,c))))
    | product(b,product(bigC(a,a,c),a)) = product(product(b,product(c,a)),product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),product(product(b,product(c,a)),product(b,product(a,product(a,c))))) ),[0],$fot(product(b,product(bigC(a,a,c),a)))]]) ).

cnf(refute_0_23768,plain,
    ( difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(product(b,product(c,a)),product(b,product(a,product(a,c))))
    | product(b,product(bigC(a,a,c),a)) = product(product(b,product(c,a)),product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),product(b,product(bigC(a,a,c),a))) )],[refute_0_23766,refute_0_23767]) ).

cnf(refute_0_23769,plain,
    product(product(b,c),product(product(c,a),product(product(b,c),a))) = product(product(b,c),product(product(c,a),product(product(b,c),a))),
    introduced(tautology,[refl,[$fot(product(product(b,c),product(product(c,a),product(product(b,c),a))))]]) ).

cnf(refute_0_23770,plain,
    ( product(product(b,c),product(product(c,a),product(product(b,c),a))) != product(product(b,c),product(product(c,a),product(product(b,c),a)))
    | product(product(c,a),product(product(b,c),a)) != product(bigC(a,b,b),a)
    | product(product(b,c),product(product(c,a),product(product(b,c),a))) = product(product(b,c),product(bigC(a,b,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(product(c,a),product(product(b,c),a))),product(product(b,c),product(product(c,a),product(product(b,c),a)))) ),[1,1],$fot(product(bigC(a,b,b),a))]]) ).

cnf(refute_0_23771,plain,
    ( product(product(c,a),product(product(b,c),a)) != product(bigC(a,b,b),a)
    | product(product(b,c),product(product(c,a),product(product(b,c),a))) = product(product(b,c),product(bigC(a,b,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,a),product(product(b,c),a))),product(product(b,c),product(product(c,a),product(product(b,c),a)))) )],[refute_0_23769,refute_0_23770]) ).

cnf(refute_0_23772,plain,
    product(product(b,c),product(product(c,a),product(product(b,c),a))) = product(product(b,c),product(bigC(a,b,b),a)),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(product(b,c),a)),product(bigC(a,b,b),a)) )],[refute_0_21624,refute_0_23771]) ).

cnf(refute_0_23773,plain,
    product(product(A,c),product(C,product(product(b,c),a))) = product(product(A,C),product(c,product(product(b,c),a))),
    inference(subst,[],[sos05:[bind(B,$fot(c)),bind(D,$fot(product(product(b,c),a)))]]) ).

cnf(refute_0_23774,plain,
    ( product(c,product(product(b,c),a)) != product(b,product(a,product(a,c)))
    | product(product(A,c),product(C,product(product(b,c),a))) != product(product(A,C),product(c,product(product(b,c),a)))
    | product(product(A,c),product(C,product(product(b,c),a))) = product(product(A,C),product(b,product(a,product(a,c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(product(b,c),a))),product(product(A,C),product(c,product(product(b,c),a)))) ),[1,1],$fot(product(b,product(a,product(a,c))))]]) ).

cnf(refute_0_23775,plain,
    ( product(product(A,c),product(C,product(product(b,c),a))) != product(product(A,C),product(c,product(product(b,c),a)))
    | product(product(A,c),product(C,product(product(b,c),a))) = product(product(A,C),product(b,product(a,product(a,c)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(b,c),a)),product(b,product(a,product(a,c)))) )],[refute_0_5006,refute_0_23774]) ).

cnf(refute_0_23776,plain,
    product(product(A,c),product(C,product(product(b,c),a))) = product(product(A,C),product(b,product(a,product(a,c)))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(product(b,c),a))),product(product(A,C),product(c,product(product(b,c),a)))) )],[refute_0_23773,refute_0_23775]) ).

cnf(refute_0_23777,plain,
    ( product(product(A,c),product(C,product(product(b,c),a))) != product(product(A,C),product(b,product(a,product(a,c))))
    | product(product(A,C),product(b,product(a,product(a,c)))) = product(product(A,c),product(C,product(product(b,c),a))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,c),product(C,product(product(b,c),a))))),bind(Y,$fot(product(product(A,C),product(b,product(a,product(a,c))))))]]) ).

cnf(refute_0_23778,plain,
    product(product(A,C),product(b,product(a,product(a,c)))) = product(product(A,c),product(C,product(product(b,c),a))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(product(b,c),a))),product(product(A,C),product(b,product(a,product(a,c))))) )],[refute_0_23776,refute_0_23777]) ).

cnf(refute_0_23779,plain,
    product(product(b,product(c,a)),product(b,product(a,product(a,c)))) = product(product(b,c),product(product(c,a),product(product(b,c),a))),
    inference(subst,[],[refute_0_23778:[bind(A,$fot(b)),bind(C,$fot(product(c,a)))]]) ).

cnf(refute_0_23780,plain,
    ( product(product(b,c),product(product(c,a),product(product(b,c),a))) != product(product(b,c),product(bigC(a,b,b),a))
    | product(product(b,product(c,a)),product(b,product(a,product(a,c)))) != product(product(b,c),product(product(c,a),product(product(b,c),a)))
    | product(product(b,product(c,a)),product(b,product(a,product(a,c)))) = product(product(b,c),product(bigC(a,b,b),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(c,a)),product(b,product(a,product(a,c)))))),bind(Y,$fot(product(product(b,c),product(product(c,a),product(product(b,c),a))))),bind(Z,$fot(product(product(b,c),product(bigC(a,b,b),a))))]]) ).

cnf(refute_0_23781,plain,
    ( product(product(b,c),product(product(c,a),product(product(b,c),a))) != product(product(b,c),product(bigC(a,b,b),a))
    | product(product(b,product(c,a)),product(b,product(a,product(a,c)))) = product(product(b,c),product(bigC(a,b,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),product(b,product(a,product(a,c)))),product(product(b,c),product(product(c,a),product(product(b,c),a)))) )],[refute_0_23779,refute_0_23780]) ).

cnf(refute_0_23782,plain,
    product(product(b,product(c,a)),product(b,product(a,product(a,c)))) = product(product(b,c),product(bigC(a,b,b),a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,a),product(product(b,c),a))),product(product(b,c),product(bigC(a,b,b),a))) )],[refute_0_23772,refute_0_23781]) ).

cnf(refute_0_23783,plain,
    ( product(b,product(bigC(a,a,c),a)) != product(product(b,product(c,a)),product(b,product(a,product(a,c))))
    | product(product(b,product(c,a)),product(b,product(a,product(a,c)))) != product(product(b,c),product(bigC(a,b,b),a))
    | product(b,product(bigC(a,a,c),a)) = product(product(b,c),product(bigC(a,b,b),a)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(b,product(bigC(a,a,c),a)),product(product(b,c),product(bigC(a,b,b),a))) ),[0],$fot(product(product(b,product(c,a)),product(b,product(a,product(a,c)))))]]) ).

cnf(refute_0_23784,plain,
    ( product(b,product(bigC(a,a,c),a)) != product(product(b,product(c,a)),product(b,product(a,product(a,c))))
    | product(b,product(bigC(a,a,c),a)) = product(product(b,c),product(bigC(a,b,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(c,a)),product(b,product(a,product(a,c)))),product(product(b,c),product(bigC(a,b,b),a))) )],[refute_0_23782,refute_0_23783]) ).

cnf(refute_0_23785,plain,
    ( difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))) != product(product(b,product(c,a)),product(b,product(a,product(a,c))))
    | product(b,product(bigC(a,a,c),a)) = product(product(b,c),product(bigC(a,b,b),a)) ),
    inference(resolve,[$cnf( $equal(product(b,product(bigC(a,a,c),a)),product(product(b,product(c,a)),product(b,product(a,product(a,c))))) )],[refute_0_23768,refute_0_23784]) ).

cnf(refute_0_23786,plain,
    product(b,product(bigC(a,a,c),a)) = product(product(b,c),product(bigC(a,b,b),a)),
    inference(resolve,[$cnf( $equal(difference(product(product(c,product(b,product(c,a))),product(b,product(c,a))),product(b,product(c,a))),product(product(b,product(c,a)),product(b,product(a,product(a,c))))) )],[refute_0_23731,refute_0_23785]) ).

cnf(refute_0_23787,plain,
    ( product(b,product(bigC(a,a,c),a)) != product(product(b,c),product(bigC(a,b,b),a))
    | product(product(b,c),product(bigC(a,b,b),a)) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(b,product(bigC(a,a,c),a)))),bind(Y,$fot(product(product(b,c),product(bigC(a,b,b),a))))]]) ).

cnf(refute_0_23788,plain,
    product(product(b,c),product(bigC(a,b,b),a)) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(b,product(bigC(a,a,c),a)),product(product(b,c),product(bigC(a,b,b),a))) )],[refute_0_23786,refute_0_23787]) ).

cnf(refute_0_23789,plain,
    product(product(c,c),product(product(c,a),a)) = product(product(c,c),product(product(c,a),a)),
    introduced(tautology,[refl,[$fot(product(product(c,c),product(product(c,a),a)))]]) ).

cnf(refute_0_23790,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),a)) != product(product(c,c),product(product(c,a),a))
    | product(product(c,c),product(product(c,a),a)) = product(c,product(product(c,a),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,c),product(product(c,a),a)),product(product(c,c),product(product(c,a),a))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_23791,plain,
    ( product(c,c) != c
    | product(product(c,c),product(product(c,a),a)) = product(c,product(product(c,a),a)) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),a)),product(product(c,c),product(product(c,a),a))) )],[refute_0_23789,refute_0_23790]) ).

cnf(refute_0_23792,plain,
    product(product(c,c),product(product(c,a),a)) = product(c,product(product(c,a),a)),
    inference(resolve,[$cnf( $equal(product(c,c),c) )],[refute_0_1099,refute_0_23791]) ).

cnf(refute_0_23793,plain,
    ( product(c,product(product(c,a),a)) != product(bigC(a,b,b),a)
    | product(product(c,c),product(product(c,a),a)) != product(c,product(product(c,a),a))
    | product(product(c,c),product(product(c,a),a)) = product(bigC(a,b,b),a) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,c),product(product(c,a),a)))),bind(Y,$fot(product(c,product(product(c,a),a)))),bind(Z,$fot(product(bigC(a,b,b),a)))]]) ).

cnf(refute_0_23794,plain,
    ( product(c,product(product(c,a),a)) != product(bigC(a,b,b),a)
    | product(product(c,c),product(product(c,a),a)) = product(bigC(a,b,b),a) ),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),a)),product(c,product(product(c,a),a))) )],[refute_0_23792,refute_0_23793]) ).

cnf(refute_0_23795,plain,
    product(product(c,c),product(product(c,a),a)) = product(bigC(a,b,b),a),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,a),a)),product(bigC(a,b,b),a)) )],[refute_0_22016,refute_0_23794]) ).

cnf(refute_0_23796,plain,
    product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(product(b,c),product(product(c,c),product(product(c,a),a))),
    introduced(tautology,[refl,[$fot(product(product(b,c),product(product(c,c),product(product(c,a),a))))]]) ).

cnf(refute_0_23797,plain,
    ( product(product(b,c),product(product(c,c),product(product(c,a),a))) != product(product(b,c),product(product(c,c),product(product(c,a),a)))
    | product(product(c,c),product(product(c,a),a)) != product(bigC(a,b,b),a)
    | product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(product(b,c),product(bigC(a,b,b),a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(product(c,c),product(product(c,a),a))),product(product(b,c),product(product(c,c),product(product(c,a),a)))) ),[1,1],$fot(product(bigC(a,b,b),a))]]) ).

cnf(refute_0_23798,plain,
    ( product(product(c,c),product(product(c,a),a)) != product(bigC(a,b,b),a)
    | product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(product(b,c),product(bigC(a,b,b),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,c),product(product(c,a),a))),product(product(b,c),product(product(c,c),product(product(c,a),a)))) )],[refute_0_23796,refute_0_23797]) ).

cnf(refute_0_23799,plain,
    product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(product(b,c),product(bigC(a,b,b),a)),
    inference(resolve,[$cnf( $equal(product(product(c,c),product(product(c,a),a)),product(bigC(a,b,b),a)) )],[refute_0_23795,refute_0_23798]) ).

cnf(refute_0_23800,plain,
    ( product(product(b,c),product(bigC(a,b,b),a)) != product(b,product(bigC(a,a,c),a))
    | product(product(b,c),product(product(c,c),product(product(c,a),a))) != product(product(b,c),product(bigC(a,b,b),a))
    | product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(product(c,c),product(product(c,a),a))))),bind(Y,$fot(product(product(b,c),product(bigC(a,b,b),a)))),bind(Z,$fot(product(b,product(bigC(a,a,c),a))))]]) ).

cnf(refute_0_23801,plain,
    ( product(product(b,c),product(bigC(a,b,b),a)) != product(b,product(bigC(a,a,c),a))
    | product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,c),product(product(c,a),a))),product(product(b,c),product(bigC(a,b,b),a))) )],[refute_0_23799,refute_0_23800]) ).

cnf(refute_0_23802,plain,
    product(product(b,c),product(product(c,c),product(product(c,a),a))) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(bigC(a,b,b),a)),product(b,product(bigC(a,a,c),a))) )],[refute_0_23788,refute_0_23801]) ).

cnf(refute_0_23803,plain,
    product(product(b,c),product(product(c,product(c,a)),product(c,a))) = product(product(b,c),product(product(c,c),product(product(c,a),a))),
    inference(subst,[],[refute_0_146:[bind(B,$fot(product(b,c))),bind(X_63,$fot(c)),bind(X_64,$fot(c)),bind(X_65,$fot(product(c,a))),bind(X_66,$fot(a))]]) ).

cnf(refute_0_23804,plain,
    ( product(product(b,c),product(product(c,c),product(product(c,a),a))) != product(b,product(bigC(a,a,c),a))
    | product(product(b,c),product(product(c,product(c,a)),product(c,a))) != product(product(b,c),product(product(c,c),product(product(c,a),a)))
    | product(product(b,c),product(product(c,product(c,a)),product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(product(c,product(c,a)),product(c,a))))),bind(Y,$fot(product(product(b,c),product(product(c,c),product(product(c,a),a))))),bind(Z,$fot(product(b,product(bigC(a,a,c),a))))]]) ).

cnf(refute_0_23805,plain,
    ( product(product(b,c),product(product(c,c),product(product(c,a),a))) != product(b,product(bigC(a,a,c),a))
    | product(product(b,c),product(product(c,product(c,a)),product(c,a))) = product(b,product(bigC(a,a,c),a)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(product(b,c),product(product(c,c),product(product(c,a),a)))) )],[refute_0_23803,refute_0_23804]) ).

cnf(refute_0_23806,plain,
    product(product(b,c),product(product(c,product(c,a)),product(c,a))) = product(b,product(bigC(a,a,c),a)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,c),product(product(c,a),a))),product(b,product(bigC(a,a,c),a))) )],[refute_0_23802,refute_0_23805]) ).

cnf(refute_0_23807,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),
    introduced(tautology,[refl,[$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))))]]) ).

cnf(refute_0_23808,plain,
    ( product(product(b,c),product(product(c,product(c,a)),product(c,a))) != product(b,product(bigC(a,a,c),a))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a))))) ),[1,0],$fot(product(b,product(bigC(a,a,c),a)))]]) ).

cnf(refute_0_23809,plain,
    ( product(product(b,c),product(product(c,product(c,a)),product(c,a))) != product(b,product(bigC(a,a,c),a))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a))))) )],[refute_0_23807,refute_0_23808]) ).

cnf(refute_0_23810,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(b,product(bigC(a,a,c),a))) )],[refute_0_23806,refute_0_23809]) ).

cnf(refute_0_23811,plain,
    ( product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))))),bind(Y,$fot(product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))))),bind(Z,$fot(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))))]]) ).

cnf(refute_0_23812,plain,
    ( product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a))))) )],[refute_0_23810,refute_0_23811]) ).

cnf(refute_0_23813,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))) )],[refute_0_23727,refute_0_23812]) ).

cnf(refute_0_23814,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) != product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))))),bind(Y,$fot(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))))),bind(Z,$fot(product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))))]]) ).

cnf(refute_0_23815,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) != product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))
    | product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))) )],[refute_0_23813,refute_0_23814]) ).

cnf(refute_0_23816,plain,
    product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))),product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))) )],[refute_0_23715,refute_0_23815]) ).

cnf(refute_0_23817,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),
    inference(subst,[],[refute_0_1239:[bind(A,$fot(bigC(c,product(a,b),product(c,product(c,a))))),bind(X_63,$fot(b)),bind(X_64,$fot(c)),bind(X_65,$fot(product(c,product(c,a)))),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_23818,plain,
    ( product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a))))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))))),bind(Y,$fot(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))))),bind(Z,$fot(product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))))]]) ).

cnf(refute_0_23819,plain,
    ( product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a))))) )],[refute_0_23817,refute_0_23818]) ).

cnf(refute_0_23820,plain,
    product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) = product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)),
    inference(resolve,[$cnf( $equal(product(product(product(b,c),product(product(c,product(c,a)),product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))) )],[refute_0_23816,refute_0_23819]) ).

cnf(refute_0_23821,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(c,product(c,a))
    | product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))
    | product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) = product(c,product(c,a)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(c,product(c,a))) ),[0],$fot(product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)))]]) ).

cnf(refute_0_23822,plain,
    ( product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) != product(c,product(c,a))
    | product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) = product(c,product(c,a)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c))) )],[refute_0_23820,refute_0_23821]) ).

cnf(refute_0_23823,plain,
    product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))),product(c,product(c,a))) )],[refute_0_23118,refute_0_23822]) ).

cnf(refute_0_23824,plain,
    ( product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) != product(c,product(c,a))
    | product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) != product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))
    | product(c,product(c,a)) = product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)),product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))) ),[0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_23825,plain,
    ( product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)) != product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))
    | product(c,product(c,a)) = product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)),product(c,product(c,a))) )],[refute_0_23823,refute_0_23824]) ).

cnf(refute_0_23826,plain,
    product(c,product(c,a)) = product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,b),c)),product(product(bigC(a,a,c),a),c)),product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))) )],[refute_0_23112,refute_0_23825]) ).

cnf(refute_0_23827,plain,
    bigC(b,X_22,quotient(product(a,c),b)) = product(product(b,X_22),product(a,c)),
    inference(subst,[],[refute_0_356:[bind(A,$fot(product(a,c))),bind(X_21,$fot(b))]]) ).

cnf(refute_0_23828,plain,
    ( bigC(b,X_22,quotient(product(a,c),b)) != product(product(b,X_22),product(a,c))
    | quotient(product(a,c),b) != quotient(a,c)
    | bigC(b,X_22,quotient(a,c)) = product(product(b,X_22),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(b,X_22,quotient(product(a,c),b)),product(product(b,X_22),product(a,c))) ),[0,2],$fot(quotient(a,c))]]) ).

cnf(refute_0_23829,plain,
    ( bigC(b,X_22,quotient(product(a,c),b)) != product(product(b,X_22),product(a,c))
    | bigC(b,X_22,quotient(a,c)) = product(product(b,X_22),product(a,c)) ),
    inference(resolve,[$cnf( $equal(quotient(product(a,c),b),quotient(a,c)) )],[refute_0_22791,refute_0_23828]) ).

cnf(refute_0_23830,plain,
    bigC(b,X_22,quotient(a,c)) = product(product(b,X_22),product(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,quotient(product(a,c),b)),product(product(b,X_22),product(a,c))) )],[refute_0_23827,refute_0_23829]) ).

cnf(refute_0_23831,plain,
    ( bigC(b,X_22,quotient(a,c)) != product(product(b,X_22),product(a,c))
    | product(product(b,X_22),product(a,c)) = bigC(b,X_22,quotient(a,c)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(b,X_22,quotient(a,c)))),bind(Y,$fot(product(product(b,X_22),product(a,c))))]]) ).

cnf(refute_0_23832,plain,
    product(product(b,X_22),product(a,c)) = bigC(b,X_22,quotient(a,c)),
    inference(resolve,[$cnf( $equal(bigC(b,X_22,quotient(a,c)),product(product(b,X_22),product(a,c))) )],[refute_0_23830,refute_0_23831]) ).

cnf(refute_0_23833,plain,
    product(product(b,c),product(a,c)) = bigC(b,c,quotient(a,c)),
    inference(subst,[],[refute_0_23832:[bind(X_22,$fot(c))]]) ).

cnf(refute_0_23834,plain,
    product(product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),product(a,c))) = product(a,c),
    inference(subst,[],[sos02:[bind(A,$fot(product(bigC(a,a,c),c))),bind(B,$fot(product(a,c)))]]) ).

cnf(refute_0_23835,plain,
    ( difference(product(bigC(a,a,c),c),product(a,c)) != product(a,product(c,product(c,b)))
    | product(product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),product(a,c))) != product(a,c)
    | product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),product(a,c))),product(a,c)) ),[0,1],$fot(product(a,product(c,product(c,b))))]]) ).

cnf(refute_0_23836,plain,
    ( product(product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),product(a,c))) != product(a,c)
    | product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(difference(product(bigC(a,a,c),c),product(a,c)),product(a,product(c,product(c,b)))) )],[refute_0_17182,refute_0_23835]) ).

cnf(refute_0_23837,plain,
    product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),difference(product(bigC(a,a,c),c),product(a,c))),product(a,c)) )],[refute_0_23834,refute_0_23836]) ).

cnf(refute_0_23838,plain,
    product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))))]]) ).

cnf(refute_0_23839,plain,
    ( product(c,product(c,product(c,b))) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) != product(product(bigC(a,a,c),a),product(c,product(c,product(c,b))))
    | product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))),product(product(bigC(a,a,c),a),product(c,product(c,product(c,b))))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23840,plain,
    ( product(c,product(c,product(c,b))) != bigC(a,b,product(a,b))
    | product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))),product(product(bigC(a,a,c),a),product(c,product(c,product(c,b))))) )],[refute_0_23838,refute_0_23839]) ).

cnf(refute_0_23841,plain,
    product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(c,product(c,product(c,b))),bigC(a,b,product(a,b))) )],[refute_0_10495,refute_0_23840]) ).

cnf(refute_0_23842,plain,
    product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(bigC(a,a,c))),bind(C,$fot(product(bigC(c,a,b),c)))]]) ).

cnf(refute_0_23843,plain,
    ( product(bigC(a,a,c),product(bigC(c,a,b),c)) != product(a,product(product(b,c),c))
    | product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(a,product(product(b,c),c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(B,D))) ),[1,0],$fot(product(a,product(product(b,c),c)))]]) ).

cnf(refute_0_23844,plain,
    ( product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(a,product(product(b,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(a,product(product(b,c),c))) )],[refute_0_7170,refute_0_23843]) ).

cnf(refute_0_23845,plain,
    product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(a,product(product(b,c),c)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(bigC(a,a,c),product(bigC(c,a,b),c)),product(B,D))) )],[refute_0_23842,refute_0_23844]) ).

cnf(refute_0_23846,plain,
    product(product(bigC(c,a,b),c),D) = product(product(bigC(c,a,b),c),D),
    introduced(tautology,[refl,[$fot(product(product(bigC(c,a,b),c),D))]]) ).

cnf(refute_0_23847,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(bigC(c,a,b),c),D) != product(product(bigC(c,a,b),c),D)
    | product(product(bigC(c,a,b),c),D) = product(c,D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(c,a,b),c),D),product(product(bigC(c,a,b),c),D)) ),[1,0],$fot(c)]]) ).

cnf(refute_0_23848,plain,
    ( product(bigC(c,a,b),c) != c
    | product(product(bigC(c,a,b),c),D) = product(c,D) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),c),D),product(product(bigC(c,a,b),c),D)) )],[refute_0_23846,refute_0_23847]) ).

cnf(refute_0_23849,plain,
    product(product(bigC(c,a,b),c),D) = product(c,D),
    inference(resolve,[$cnf( $equal(product(bigC(c,a,b),c),c) )],[refute_0_7192,refute_0_23848]) ).

cnf(refute_0_23850,plain,
    product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),
    introduced(tautology,[refl,[$fot(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)))]]) ).

cnf(refute_0_23851,plain,
    ( product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D))
    | product(product(bigC(c,a,b),c),D) != product(c,D)
    | product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(bigC(a,a,c),B),product(c,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D))) ),[1,1],$fot(product(c,D))]]) ).

cnf(refute_0_23852,plain,
    ( product(product(bigC(c,a,b),c),D) != product(c,D)
    | product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(bigC(a,a,c),B),product(c,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D))) )],[refute_0_23850,refute_0_23851]) ).

cnf(refute_0_23853,plain,
    product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) = product(product(bigC(a,a,c),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(c,a,b),c),D),product(c,D)) )],[refute_0_23849,refute_0_23852]) ).

cnf(refute_0_23854,plain,
    ( product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(a,product(product(b,c),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(bigC(a,a,c),B),product(c,D))
    | product(product(bigC(a,a,c),B),product(c,D)) = product(product(a,product(product(b,c),c)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(a,product(product(b,c),c)),product(B,D))) ),[0],$fot(product(product(bigC(a,a,c),B),product(c,D)))]]) ).

cnf(refute_0_23855,plain,
    ( product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(a,product(product(b,c),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(c,D)) = product(product(a,product(product(b,c),c)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(bigC(a,a,c),B),product(c,D))) )],[refute_0_23853,refute_0_23854]) ).

cnf(refute_0_23856,plain,
    product(product(a,product(product(b,c),c)),product(B,D)) = product(product(a,product(product(b,c),c)),product(B,D)),
    introduced(tautology,[refl,[$fot(product(product(a,product(product(b,c),c)),product(B,D)))]]) ).

cnf(refute_0_23857,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | product(product(a,product(product(b,c),c)),product(B,D)) != product(product(a,product(product(b,c),c)),product(B,D))
    | product(product(a,product(product(b,c),c)),product(B,D)) = product(product(bigC(a,a,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(B,D)),product(product(a,product(product(b,c),c)),product(B,D))) ),[1,0],$fot(product(bigC(a,a,c),c))]]) ).

cnf(refute_0_23858,plain,
    ( product(a,product(product(b,c),c)) != product(bigC(a,a,c),c)
    | product(product(a,product(product(b,c),c)),product(B,D)) = product(product(bigC(a,a,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(B,D)),product(product(a,product(product(b,c),c)),product(B,D))) )],[refute_0_23856,refute_0_23857]) ).

cnf(refute_0_23859,plain,
    product(product(a,product(product(b,c),c)),product(B,D)) = product(product(bigC(a,a,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(a,product(product(b,c),c)),product(bigC(a,a,c),c)) )],[refute_0_2701,refute_0_23858]) ).

cnf(refute_0_23860,plain,
    ( product(product(a,product(product(b,c),c)),product(B,D)) != product(product(bigC(a,a,c),c),product(B,D))
    | product(product(bigC(a,a,c),B),product(c,D)) != product(product(a,product(product(b,c),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(c,D)) = product(product(bigC(a,a,c),c),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),B),product(c,D)),product(product(a,product(product(b,c),c)),product(B,D))) ),[1],$fot(product(product(bigC(a,a,c),c),product(B,D)))]]) ).

cnf(refute_0_23861,plain,
    ( product(product(bigC(a,a,c),B),product(c,D)) != product(product(a,product(product(b,c),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(c,D)) = product(product(bigC(a,a,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(a,product(product(b,c),c)),product(B,D)),product(product(bigC(a,a,c),c),product(B,D))) )],[refute_0_23859,refute_0_23860]) ).

cnf(refute_0_23862,plain,
    ( product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)) != product(product(a,product(product(b,c),c)),product(B,D))
    | product(product(bigC(a,a,c),B),product(c,D)) = product(product(bigC(a,a,c),c),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(c,D)),product(product(a,product(product(b,c),c)),product(B,D))) )],[refute_0_23855,refute_0_23861]) ).

cnf(refute_0_23863,plain,
    product(product(bigC(a,a,c),B),product(c,D)) = product(product(bigC(a,a,c),c),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(product(bigC(c,a,b),c),D)),product(product(a,product(product(b,c),c)),product(B,D))) )],[refute_0_23845,refute_0_23862]) ).

cnf(refute_0_23864,plain,
    ( product(product(bigC(a,a,c),B),product(c,D)) != product(product(bigC(a,a,c),c),product(B,D))
    | product(product(bigC(a,a,c),c),product(B,D)) = product(product(bigC(a,a,c),B),product(c,D)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(bigC(a,a,c),B),product(c,D)))),bind(Y,$fot(product(product(bigC(a,a,c),c),product(B,D))))]]) ).

cnf(refute_0_23865,plain,
    product(product(bigC(a,a,c),c),product(B,D)) = product(product(bigC(a,a,c),B),product(c,D)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),B),product(c,D)),product(product(bigC(a,a,c),c),product(B,D))) )],[refute_0_23863,refute_0_23864]) ).

cnf(refute_0_23866,plain,
    product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))),
    inference(subst,[],[refute_0_23865:[bind(B,$fot(a)),bind(D,$fot(product(c,product(c,b))))]]) ).

cnf(refute_0_23867,plain,
    ( product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) != product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) != product(product(bigC(a,a,c),a),product(c,product(c,product(c,b))))
    | product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))))),bind(Y,$fot(product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))))),bind(Z,$fot(product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_23868,plain,
    ( product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))) != product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))),product(product(bigC(a,a,c),a),product(c,product(c,product(c,b))))) )],[refute_0_23866,refute_0_23867]) ).

cnf(refute_0_23869,plain,
    product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) = product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),product(c,product(c,product(c,b)))),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) )],[refute_0_23841,refute_0_23868]) ).

cnf(refute_0_23870,plain,
    ( product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) != product(a,c)
    | product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) != product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))
    | product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))),product(a,c)) ),[0],$fot(product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23871,plain,
    ( product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))) != product(a,c)
    | product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) )],[refute_0_23869,refute_0_23870]) ).

cnf(refute_0_23872,plain,
    product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) = product(a,c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),c),product(a,product(c,product(c,b)))),product(a,c)) )],[refute_0_23837,refute_0_23871]) ).

cnf(refute_0_23873,plain,
    product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))),
    introduced(tautology,[refl,[$fot(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_23874,plain,
    ( product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) != product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))))
    | product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) != product(a,c)
    | product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = product(product(b,c),product(a,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))),product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))))) ),[1,1],$fot(product(a,c))]]) ).

cnf(refute_0_23875,plain,
    ( product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))) != product(a,c)
    | product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = product(product(b,c),product(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))),product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))))) )],[refute_0_23873,refute_0_23874]) ).

cnf(refute_0_23876,plain,
    product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = product(product(b,c),product(a,c)),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))),product(a,c)) )],[refute_0_23872,refute_0_23875]) ).

cnf(refute_0_23877,plain,
    ( product(product(b,c),product(a,c)) != bigC(b,c,quotient(a,c))
    | product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) != product(product(b,c),product(a,c))
    | product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = bigC(b,c,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))))),bind(Y,$fot(product(product(b,c),product(a,c)))),bind(Z,$fot(bigC(b,c,quotient(a,c))))]]) ).

cnf(refute_0_23878,plain,
    ( product(product(b,c),product(a,c)) != bigC(b,c,quotient(a,c))
    | product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = bigC(b,c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))),product(product(b,c),product(a,c))) )],[refute_0_23876,refute_0_23877]) ).

cnf(refute_0_23879,plain,
    product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) = bigC(b,c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(a,c)),bigC(b,c,quotient(a,c))) )],[refute_0_23833,refute_0_23878]) ).

cnf(refute_0_23880,plain,
    product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,C),product(c,product(product(product(b,a),a),b))),
    inference(subst,[],[sos05:[bind(B,$fot(c)),bind(D,$fot(product(product(product(b,a),a),b)))]]) ).

cnf(refute_0_23881,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(product(c,product(c,a)),product(product(c,product(c,a)),b)),
    inference(subst,[],[refute_0_747:[bind(X_15,$fot(b)),bind(X_16,$fot(product(c,product(c,a))))]]) ).

cnf(refute_0_23882,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != product(product(c,product(c,a)),product(product(c,product(c,a)),b))
    | product(product(c,product(c,a)),product(product(c,product(c,a)),b)) != bigC(c,product(a,b),product(c,product(c,a)))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = bigC(c,product(a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) ),[0],$fot(product(product(c,product(c,a)),product(product(c,product(c,a)),b)))]]) ).

cnf(refute_0_23883,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != product(product(c,product(c,a)),product(product(c,product(c,a)),b))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = bigC(c,product(a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(c,product(c,a)),b)),bigC(c,product(a,b),product(c,product(c,a)))) )],[refute_0_23115,refute_0_23882]) ).

cnf(refute_0_23884,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = bigC(c,product(a,b),product(c,product(c,a))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) )],[refute_0_23881,refute_0_23883]) ).

cnf(refute_0_23885,plain,
    bigC(product(a,b),difference(product(a,b),B),product(c,b)) = product(B,product(product(c,b),product(a,b))),
    inference(subst,[],[refute_0_84:[bind(X_21,$fot(product(a,b))),bind(X_23,$fot(product(c,b)))]]) ).

cnf(refute_0_23886,plain,
    bigC(product(a,b),difference(product(a,b),B),product(c,b)) = product(c,product(difference(product(a,b),B),b)),
    inference(subst,[],[refute_0_12766:[bind(X_42,$fot(difference(product(a,b),B)))]]) ).

cnf(refute_0_23887,plain,
    ( bigC(product(a,b),difference(product(a,b),B),product(c,b)) != product(B,product(product(c,b),product(a,b)))
    | bigC(product(a,b),difference(product(a,b),B),product(c,b)) != product(c,product(difference(product(a,b),B),b))
    | product(c,product(difference(product(a,b),B),b)) = product(B,product(product(c,b),product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),B),product(c,b)),product(B,product(product(c,b),product(a,b)))) ),[0],$fot(product(c,product(difference(product(a,b),B),b)))]]) ).

cnf(refute_0_23888,plain,
    ( bigC(product(a,b),difference(product(a,b),B),product(c,b)) != product(B,product(product(c,b),product(a,b)))
    | product(c,product(difference(product(a,b),B),b)) = product(B,product(product(c,b),product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),B),product(c,b)),product(c,product(difference(product(a,b),B),b))) )],[refute_0_23886,refute_0_23887]) ).

cnf(refute_0_23889,plain,
    product(c,product(difference(product(a,b),B),b)) = product(B,product(product(c,b),product(a,b))),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),difference(product(a,b),B),product(c,b)),product(B,product(product(c,b),product(a,b)))) )],[refute_0_23885,refute_0_23888]) ).

cnf(refute_0_23890,plain,
    product(B,product(product(c,a),product(b,b))) = product(B,product(product(c,a),product(b,b))),
    introduced(tautology,[refl,[$fot(product(B,product(product(c,a),product(b,b))))]]) ).

cnf(refute_0_23891,plain,
    ( product(B,product(product(c,a),product(b,b))) != product(B,product(product(c,a),product(b,b)))
    | product(product(c,a),product(b,b)) != product(c,product(c,b))
    | product(B,product(product(c,a),product(b,b))) = product(B,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(B,product(product(c,a),product(b,b))),product(B,product(product(c,a),product(b,b)))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_23892,plain,
    ( product(product(c,a),product(b,b)) != product(c,product(c,b))
    | product(B,product(product(c,a),product(b,b))) = product(B,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(B,product(product(c,a),product(b,b))),product(B,product(product(c,a),product(b,b)))) )],[refute_0_23890,refute_0_23891]) ).

cnf(refute_0_23893,plain,
    product(B,product(product(c,a),product(b,b))) = product(B,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),product(b,b)),product(c,product(c,b))) )],[refute_0_10660,refute_0_23892]) ).

cnf(refute_0_23894,plain,
    product(B,product(product(c,b),product(a,b))) = product(B,product(product(c,a),product(b,b))),
    inference(subst,[],[refute_0_146:[bind(X_63,$fot(c)),bind(X_64,$fot(a)),bind(X_65,$fot(b)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_23895,plain,
    ( product(B,product(product(c,a),product(b,b))) != product(B,product(c,product(c,b)))
    | product(B,product(product(c,b),product(a,b))) != product(B,product(product(c,a),product(b,b)))
    | product(B,product(product(c,b),product(a,b))) = product(B,product(c,product(c,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(B,product(product(c,b),product(a,b))))),bind(Y,$fot(product(B,product(product(c,a),product(b,b))))),bind(Z,$fot(product(B,product(c,product(c,b)))))]]) ).

cnf(refute_0_23896,plain,
    ( product(B,product(product(c,a),product(b,b))) != product(B,product(c,product(c,b)))
    | product(B,product(product(c,b),product(a,b))) = product(B,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(B,product(product(c,b),product(a,b))),product(B,product(product(c,a),product(b,b)))) )],[refute_0_23894,refute_0_23895]) ).

cnf(refute_0_23897,plain,
    product(B,product(product(c,b),product(a,b))) = product(B,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(B,product(product(c,a),product(b,b))),product(B,product(c,product(c,b)))) )],[refute_0_23893,refute_0_23896]) ).

cnf(refute_0_23898,plain,
    ( product(B,product(product(c,b),product(a,b))) != product(B,product(c,product(c,b)))
    | product(c,product(difference(product(a,b),B),b)) != product(B,product(product(c,b),product(a,b)))
    | product(c,product(difference(product(a,b),B),b)) = product(B,product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(product(a,b),B),b)),product(B,product(product(c,b),product(a,b)))) ),[1],$fot(product(B,product(c,product(c,b))))]]) ).

cnf(refute_0_23899,plain,
    ( product(c,product(difference(product(a,b),B),b)) != product(B,product(product(c,b),product(a,b)))
    | product(c,product(difference(product(a,b),B),b)) = product(B,product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(B,product(product(c,b),product(a,b))),product(B,product(c,product(c,b)))) )],[refute_0_23897,refute_0_23898]) ).

cnf(refute_0_23900,plain,
    product(c,product(difference(product(a,b),B),b)) = product(B,product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(product(a,b),B),b)),product(B,product(product(c,b),product(a,b)))) )],[refute_0_23889,refute_0_23899]) ).

cnf(refute_0_23901,plain,
    product(c,product(difference(product(a,b),bigC(a,b,X_23)),b)) = product(bigC(a,b,X_23),product(c,product(c,b))),
    inference(subst,[],[refute_0_23900:[bind(B,$fot(bigC(a,b,X_23)))]]) ).

cnf(refute_0_23902,plain,
    difference(product(a,b),bigC(a,b,X_23)) = product(X_23,a),
    inference(subst,[],[refute_0_89:[bind(X_21,$fot(a)),bind(X_22,$fot(b))]]) ).

cnf(refute_0_23903,plain,
    ( difference(product(a,b),bigC(a,b,X_23)) != product(X_23,a)
    | product(c,product(difference(product(a,b),bigC(a,b,X_23)),b)) != product(bigC(a,b,X_23),product(c,product(c,b)))
    | product(c,product(product(X_23,a),b)) = product(bigC(a,b,X_23),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(difference(product(a,b),bigC(a,b,X_23)),b)),product(bigC(a,b,X_23),product(c,product(c,b)))) ),[0,1,0],$fot(product(X_23,a))]]) ).

cnf(refute_0_23904,plain,
    ( product(c,product(difference(product(a,b),bigC(a,b,X_23)),b)) != product(bigC(a,b,X_23),product(c,product(c,b)))
    | product(c,product(product(X_23,a),b)) = product(bigC(a,b,X_23),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(difference(product(a,b),bigC(a,b,X_23)),product(X_23,a)) )],[refute_0_23902,refute_0_23903]) ).

cnf(refute_0_23905,plain,
    product(c,product(product(X_23,a),b)) = product(bigC(a,b,X_23),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(c,product(difference(product(a,b),bigC(a,b,X_23)),b)),product(bigC(a,b,X_23),product(c,product(c,b)))) )],[refute_0_23901,refute_0_23904]) ).

cnf(refute_0_23906,plain,
    product(bigC(a,b,X_23),product(c,product(c,b))) = bigC(product(a,b),c,product(X_23,c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(c)),bind(X_63,$fot(X_23)),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_23907,plain,
    ( product(bigC(a,b,X_23),product(c,product(c,b))) != bigC(product(a,b),c,product(X_23,c))
    | product(c,product(product(X_23,a),b)) != product(bigC(a,b,X_23),product(c,product(c,b)))
    | product(c,product(product(X_23,a),b)) = bigC(product(a,b),c,product(X_23,c)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(X_23,a),b)),product(bigC(a,b,X_23),product(c,product(c,b)))) ),[1],$fot(bigC(product(a,b),c,product(X_23,c)))]]) ).

cnf(refute_0_23908,plain,
    ( product(c,product(product(X_23,a),b)) != product(bigC(a,b,X_23),product(c,product(c,b)))
    | product(c,product(product(X_23,a),b)) = bigC(product(a,b),c,product(X_23,c)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,X_23),product(c,product(c,b))),bigC(product(a,b),c,product(X_23,c))) )],[refute_0_23906,refute_0_23907]) ).

cnf(refute_0_23909,plain,
    product(c,product(product(X_23,a),b)) = bigC(product(a,b),c,product(X_23,c)),
    inference(resolve,[$cnf( $equal(product(c,product(product(X_23,a),b)),product(bigC(a,b,X_23),product(c,product(c,b)))) )],[refute_0_23905,refute_0_23908]) ).

cnf(refute_0_23910,plain,
    ( product(c,product(product(X_23,a),b)) != bigC(product(a,b),c,product(X_23,c))
    | bigC(product(a,b),c,product(X_23,c)) = product(c,product(product(X_23,a),b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(product(X_23,a),b)))),bind(Y,$fot(bigC(product(a,b),c,product(X_23,c))))]]) ).

cnf(refute_0_23911,plain,
    bigC(product(a,b),c,product(X_23,c)) = product(c,product(product(X_23,a),b)),
    inference(resolve,[$cnf( $equal(product(c,product(product(X_23,a),b)),bigC(product(a,b),c,product(X_23,c))) )],[refute_0_23909,refute_0_23910]) ).

cnf(refute_0_23912,plain,
    bigC(product(a,b),c,product(product(b,a),c)) = product(c,product(product(product(b,a),a),b)),
    inference(subst,[],[refute_0_23911:[bind(X_23,$fot(product(b,a)))]]) ).

cnf(refute_0_23913,plain,
    product(bigC(a,b,product(b,a)),product(c,product(c,b))) = bigC(product(a,b),c,product(product(b,a),c)),
    inference(subst,[],[refute_0_1129:[bind(B,$fot(c)),bind(X_63,$fot(product(b,a))),bind(X_64,$fot(c)),bind(X_65,$fot(a)),bind(X_66,$fot(b))]]) ).

cnf(refute_0_23914,plain,
    ( bigC(product(a,b),c,product(product(b,a),c)) != product(c,product(product(product(b,a),a),b))
    | product(bigC(a,b,product(b,a)),product(c,product(c,b))) != bigC(product(a,b),c,product(product(b,a),c))
    | product(bigC(a,b,product(b,a)),product(c,product(c,b))) = product(c,product(product(product(b,a),a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(b,a)),product(c,product(c,b))))),bind(Y,$fot(bigC(product(a,b),c,product(product(b,a),c)))),bind(Z,$fot(product(c,product(product(product(b,a),a),b))))]]) ).

cnf(refute_0_23915,plain,
    ( bigC(product(a,b),c,product(product(b,a),c)) != product(c,product(product(product(b,a),a),b))
    | product(bigC(a,b,product(b,a)),product(c,product(c,b))) = product(c,product(product(product(b,a),a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),product(c,product(c,b))),bigC(product(a,b),c,product(product(b,a),c))) )],[refute_0_23913,refute_0_23914]) ).

cnf(refute_0_23916,plain,
    product(bigC(a,b,product(b,a)),product(c,product(c,b))) = product(c,product(product(product(b,a),a),b)),
    inference(resolve,[$cnf( $equal(bigC(product(a,b),c,product(product(b,a),c)),product(c,product(product(product(b,a),a),b))) )],[refute_0_23912,refute_0_23915]) ).

cnf(refute_0_23917,plain,
    product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(bigC(a,b,product(b,a)),product(product(c,a),b)),
    introduced(tautology,[refl,[$fot(product(bigC(a,b,product(b,a)),product(product(c,a),b)))]]) ).

cnf(refute_0_23918,plain,
    ( product(bigC(a,b,product(b,a)),product(product(c,a),b)) != product(bigC(a,b,product(b,a)),product(product(c,a),b))
    | product(product(c,a),b) != product(c,product(c,b))
    | product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(bigC(a,b,product(b,a)),product(c,product(c,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(bigC(a,b,product(b,a)),product(product(c,a),b)),product(bigC(a,b,product(b,a)),product(product(c,a),b))) ),[1,1],$fot(product(c,product(c,b)))]]) ).

cnf(refute_0_23919,plain,
    ( product(product(c,a),b) != product(c,product(c,b))
    | product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(bigC(a,b,product(b,a)),product(c,product(c,b))) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),product(product(c,a),b)),product(bigC(a,b,product(b,a)),product(product(c,a),b))) )],[refute_0_23917,refute_0_23918]) ).

cnf(refute_0_23920,plain,
    product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(bigC(a,b,product(b,a)),product(c,product(c,b))),
    inference(resolve,[$cnf( $equal(product(product(c,a),b),product(c,product(c,b))) )],[refute_0_1003,refute_0_23919]) ).

cnf(refute_0_23921,plain,
    ( product(bigC(a,b,product(b,a)),product(c,product(c,b))) != product(c,product(product(product(b,a),a),b))
    | product(bigC(a,b,product(b,a)),product(product(c,a),b)) != product(bigC(a,b,product(b,a)),product(c,product(c,b)))
    | product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(c,product(product(product(b,a),a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,b,product(b,a)),product(product(c,a),b)))),bind(Y,$fot(product(bigC(a,b,product(b,a)),product(c,product(c,b))))),bind(Z,$fot(product(c,product(product(product(b,a),a),b))))]]) ).

cnf(refute_0_23922,plain,
    ( product(bigC(a,b,product(b,a)),product(c,product(c,b))) != product(c,product(product(product(b,a),a),b))
    | product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(c,product(product(product(b,a),a),b)) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),product(product(c,a),b)),product(bigC(a,b,product(b,a)),product(c,product(c,b)))) )],[refute_0_23920,refute_0_23921]) ).

cnf(refute_0_23923,plain,
    product(bigC(a,b,product(b,a)),product(product(c,a),b)) = product(c,product(product(product(b,a),a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),product(c,product(c,b))),product(c,product(product(product(b,a),a),b))) )],[refute_0_23916,refute_0_23922]) ).

cnf(refute_0_23924,plain,
    product(product(c,B),product(product(product(c,b),a),D)) = product(product(c,product(product(c,b),a)),product(B,D)),
    inference(subst,[],[sos05:[bind(A,$fot(c)),bind(C,$fot(product(product(c,b),a)))]]) ).

cnf(refute_0_23925,plain,
    ( product(c,product(product(c,b),a)) != bigC(a,b,product(b,a))
    | product(product(c,B),product(product(product(c,b),a),D)) != product(product(c,product(product(c,b),a)),product(B,D))
    | product(product(c,B),product(product(product(c,b),a),D)) = product(bigC(a,b,product(b,a)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(product(c,product(product(c,b),a)),product(B,D))) ),[1,0],$fot(bigC(a,b,product(b,a)))]]) ).

cnf(refute_0_23926,plain,
    ( product(product(c,B),product(product(product(c,b),a),D)) != product(product(c,product(product(c,b),a)),product(B,D))
    | product(product(c,B),product(product(product(c,b),a),D)) = product(bigC(a,b,product(b,a)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(c,b),a)),bigC(a,b,product(b,a))) )],[refute_0_5078,refute_0_23925]) ).

cnf(refute_0_23927,plain,
    product(product(c,B),product(product(product(c,b),a),D)) = product(bigC(a,b,product(b,a)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(product(c,product(product(c,b),a)),product(B,D))) )],[refute_0_23924,refute_0_23926]) ).

cnf(refute_0_23928,plain,
    product(product(product(c,b),a),D) = product(product(product(c,b),a),D),
    introduced(tautology,[refl,[$fot(product(product(product(c,b),a),D))]]) ).

cnf(refute_0_23929,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),D) != product(product(product(c,b),a),D)
    | product(product(product(c,b),a),D) = product(product(c,product(c,a)),D) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(c,b),a),D),product(product(product(c,b),a),D)) ),[1,0],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_23930,plain,
    ( product(product(c,b),a) != product(c,product(c,a))
    | product(product(product(c,b),a),D) = product(product(c,product(c,a)),D) ),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),D),product(product(product(c,b),a),D)) )],[refute_0_23928,refute_0_23929]) ).

cnf(refute_0_23931,plain,
    product(product(product(c,b),a),D) = product(product(c,product(c,a)),D),
    inference(resolve,[$cnf( $equal(product(product(c,b),a),product(c,product(c,a))) )],[refute_0_5116,refute_0_23930]) ).

cnf(refute_0_23932,plain,
    product(product(c,B),product(product(product(c,b),a),D)) = product(product(c,B),product(product(product(c,b),a),D)),
    introduced(tautology,[refl,[$fot(product(product(c,B),product(product(product(c,b),a),D)))]]) ).

cnf(refute_0_23933,plain,
    ( product(product(c,B),product(product(product(c,b),a),D)) != product(product(c,B),product(product(product(c,b),a),D))
    | product(product(product(c,b),a),D) != product(product(c,product(c,a)),D)
    | product(product(c,B),product(product(product(c,b),a),D)) = product(product(c,B),product(product(c,product(c,a)),D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(product(c,B),product(product(product(c,b),a),D))) ),[1,1],$fot(product(product(c,product(c,a)),D))]]) ).

cnf(refute_0_23934,plain,
    ( product(product(product(c,b),a),D) != product(product(c,product(c,a)),D)
    | product(product(c,B),product(product(product(c,b),a),D)) = product(product(c,B),product(product(c,product(c,a)),D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(product(c,B),product(product(product(c,b),a),D))) )],[refute_0_23932,refute_0_23933]) ).

cnf(refute_0_23935,plain,
    product(product(c,B),product(product(product(c,b),a),D)) = product(product(c,B),product(product(c,product(c,a)),D)),
    inference(resolve,[$cnf( $equal(product(product(product(c,b),a),D),product(product(c,product(c,a)),D)) )],[refute_0_23931,refute_0_23934]) ).

cnf(refute_0_23936,plain,
    ( product(product(c,B),product(product(product(c,b),a),D)) != product(bigC(a,b,product(b,a)),product(B,D))
    | product(product(c,B),product(product(product(c,b),a),D)) != product(product(c,B),product(product(c,product(c,a)),D))
    | product(product(c,B),product(product(c,product(c,a)),D)) = product(bigC(a,b,product(b,a)),product(B,D)) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(bigC(a,b,product(b,a)),product(B,D))) ),[0],$fot(product(product(c,B),product(product(c,product(c,a)),D)))]]) ).

cnf(refute_0_23937,plain,
    ( product(product(c,B),product(product(product(c,b),a),D)) != product(bigC(a,b,product(b,a)),product(B,D))
    | product(product(c,B),product(product(c,product(c,a)),D)) = product(bigC(a,b,product(b,a)),product(B,D)) ),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(product(c,B),product(product(c,product(c,a)),D))) )],[refute_0_23935,refute_0_23936]) ).

cnf(refute_0_23938,plain,
    product(product(c,B),product(product(c,product(c,a)),D)) = product(bigC(a,b,product(b,a)),product(B,D)),
    inference(resolve,[$cnf( $equal(product(product(c,B),product(product(product(c,b),a),D)),product(bigC(a,b,product(b,a)),product(B,D))) )],[refute_0_23927,refute_0_23937]) ).

cnf(refute_0_23939,plain,
    product(product(c,product(c,a)),product(product(c,product(c,a)),b)) = product(bigC(a,b,product(b,a)),product(product(c,a),b)),
    inference(subst,[],[refute_0_23938:[bind(B,$fot(product(c,a))),bind(D,$fot(b))]]) ).

cnf(refute_0_23940,plain,
    difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) = product(product(c,product(c,a)),product(product(c,product(c,a)),b)),
    inference(subst,[],[refute_0_5747:[bind(X_15,$fot(b)),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_23941,plain,
    ( difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) != product(product(c,product(c,a)),product(product(c,product(c,a)),b))
    | product(product(c,product(c,a)),product(product(c,product(c,a)),b)) != product(bigC(a,b,product(b,a)),product(product(c,a),b))
    | difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) = product(bigC(a,b,product(b,a)),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))))),bind(Y,$fot(product(product(c,product(c,a)),product(product(c,product(c,a)),b)))),bind(Z,$fot(product(bigC(a,b,product(b,a)),product(product(c,a),b))))]]) ).

cnf(refute_0_23942,plain,
    ( product(product(c,product(c,a)),product(product(c,product(c,a)),b)) != product(bigC(a,b,product(b,a)),product(product(c,a),b))
    | difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) = product(bigC(a,b,product(b,a)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))),product(product(c,product(c,a)),product(product(c,product(c,a)),b))) )],[refute_0_23940,refute_0_23941]) ).

cnf(refute_0_23943,plain,
    difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) = product(bigC(a,b,product(b,a)),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(product(c,product(c,a)),b)),product(bigC(a,b,product(b,a)),product(product(c,a),b))) )],[refute_0_23939,refute_0_23942]) ).

cnf(refute_0_23944,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))),
    inference(subst,[],[refute_0_2311:[bind(X_63,$fot(b)),bind(X_64,$fot(product(c,product(c,a)))),bind(X_65,$fot(c)),bind(X_66,$fot(product(c,a)))]]) ).

cnf(refute_0_23945,plain,
    ( difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) != product(bigC(a,b,product(b,a)),product(product(c,a),b))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a)))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(bigC(a,b,product(b,a)),product(product(c,a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))))),bind(Y,$fot(difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))))),bind(Z,$fot(product(bigC(a,b,product(b,a)),product(product(c,a),b))))]]) ).

cnf(refute_0_23946,plain,
    ( difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))) != product(bigC(a,b,product(b,a)),product(product(c,a),b))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(bigC(a,b,product(b,a)),product(product(c,a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a)))) )],[refute_0_23944,refute_0_23945]) ).

cnf(refute_0_23947,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(bigC(a,b,product(b,a)),product(product(c,a),b)),
    inference(resolve,[$cnf( $equal(difference(product(product(b,c),product(product(c,product(c,a)),product(c,a))),product(c,product(c,a))),product(bigC(a,b,product(b,a)),product(product(c,a),b))) )],[refute_0_23943,refute_0_23946]) ).

cnf(refute_0_23948,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != product(bigC(a,b,product(b,a)),product(product(c,a),b))
    | product(bigC(a,b,product(b,a)),product(product(c,a),b)) != product(c,product(product(product(b,a),a),b))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(product(product(b,a),a),b)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))))),bind(Y,$fot(product(bigC(a,b,product(b,a)),product(product(c,a),b)))),bind(Z,$fot(product(c,product(product(product(b,a),a),b))))]]) ).

cnf(refute_0_23949,plain,
    ( product(bigC(a,b,product(b,a)),product(product(c,a),b)) != product(c,product(product(product(b,a),a),b))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(product(product(b,a),a),b)) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),product(bigC(a,b,product(b,a)),product(product(c,a),b))) )],[refute_0_23947,refute_0_23948]) ).

cnf(refute_0_23950,plain,
    difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) = product(c,product(product(product(b,a),a),b)),
    inference(resolve,[$cnf( $equal(product(bigC(a,b,product(b,a)),product(product(c,a),b)),product(c,product(product(product(b,a),a),b))) )],[refute_0_23923,refute_0_23949]) ).

cnf(refute_0_23951,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != bigC(c,product(a,b),product(c,product(c,a)))
    | difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != product(c,product(product(product(b,a),a),b))
    | product(c,product(product(product(b,a),a),b)) = bigC(c,product(a,b),product(c,product(c,a))) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) ),[0],$fot(product(c,product(product(product(b,a),a),b)))]]) ).

cnf(refute_0_23952,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != bigC(c,product(a,b),product(c,product(c,a)))
    | product(c,product(product(product(b,a),a),b)) = bigC(c,product(a,b),product(c,product(c,a))) ),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),product(c,product(product(product(b,a),a),b))) )],[refute_0_23950,refute_0_23951]) ).

cnf(refute_0_23953,plain,
    ( bigC(c,product(a,b),product(c,product(c,a))) != product(c,bigC(a,b,product(a,b)))
    | product(c,product(product(product(b,a),a),b)) != bigC(c,product(a,b),product(c,product(c,a)))
    | product(c,product(product(product(b,a),a),b)) = product(c,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(c,product(product(product(b,a),a),b)),bigC(c,product(a,b),product(c,product(c,a)))) ),[1],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23954,plain,
    ( product(c,product(product(product(b,a),a),b)) != bigC(c,product(a,b),product(c,product(c,a)))
    | product(c,product(product(product(b,a),a),b)) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,b),product(c,product(c,a))),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23723,refute_0_23953]) ).

cnf(refute_0_23955,plain,
    ( difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))) != bigC(c,product(a,b),product(c,product(c,a)))
    | product(c,product(product(product(b,a),a),b)) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(b,a),a),b)),bigC(c,product(a,b),product(c,product(c,a)))) )],[refute_0_23952,refute_0_23954]) ).

cnf(refute_0_23956,plain,
    product(c,product(product(product(b,a),a),b)) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(difference(product(product(b,product(c,product(c,a))),product(c,product(c,a))),product(c,product(c,a))),bigC(c,product(a,b),product(c,product(c,a)))) )],[refute_0_23884,refute_0_23955]) ).

cnf(refute_0_23957,plain,
    ( product(c,product(product(product(b,a),a),b)) != product(c,bigC(a,b,product(a,b)))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) != product(product(A,C),product(c,product(product(product(b,a),a),b)))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,C),product(c,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,C),product(c,product(product(product(b,a),a),b)))) ),[1,1],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23958,plain,
    ( product(product(A,c),product(C,product(product(product(b,a),a),b))) != product(product(A,C),product(c,product(product(product(b,a),a),b)))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,C),product(c,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(b,a),a),b)),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23956,refute_0_23957]) ).

cnf(refute_0_23959,plain,
    product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,C),product(c,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,C),product(c,product(product(product(b,a),a),b)))) )],[refute_0_23880,refute_0_23958]) ).

cnf(refute_0_23960,plain,
    difference(c,product(c,product(product(product(b,a),a),b))) = product(product(product(b,a),a),b),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(product(product(product(b,a),a),b)))]]) ).

cnf(refute_0_23961,plain,
    ( difference(c,product(c,product(product(product(b,a),a),b))) != product(product(product(b,a),a),b)
    | product(c,product(product(product(b,a),a),b)) != product(c,bigC(a,b,product(a,b)))
    | difference(c,product(c,bigC(a,b,product(a,b)))) = product(product(product(b,a),a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,product(product(product(b,a),a),b))),product(product(product(b,a),a),b)) ),[0,1],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23962,plain,
    ( difference(c,product(c,product(product(product(b,a),a),b))) != product(product(product(b,a),a),b)
    | difference(c,product(c,bigC(a,b,product(a,b)))) = product(product(product(b,a),a),b) ),
    inference(resolve,[$cnf( $equal(product(c,product(product(product(b,a),a),b)),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23956,refute_0_23961]) ).

cnf(refute_0_23963,plain,
    difference(c,product(c,bigC(a,b,product(a,b)))) = product(product(product(b,a),a),b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,product(product(product(b,a),a),b))),product(product(product(b,a),a),b)) )],[refute_0_23960,refute_0_23962]) ).

cnf(refute_0_23964,plain,
    difference(c,product(c,bigC(a,b,product(a,b)))) = bigC(a,b,product(a,b)),
    inference(subst,[],[sos01:[bind(A,$fot(c)),bind(B,$fot(bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23965,plain,
    ( difference(c,product(c,bigC(a,b,product(a,b)))) != bigC(a,b,product(a,b))
    | difference(c,product(c,bigC(a,b,product(a,b)))) != product(product(product(b,a),a),b)
    | bigC(a,b,product(a,b)) = product(product(product(b,a),a),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(c,product(c,bigC(a,b,product(a,b)))),product(product(product(b,a),a),b)) ),[0],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23966,plain,
    ( difference(c,product(c,bigC(a,b,product(a,b)))) != product(product(product(b,a),a),b)
    | bigC(a,b,product(a,b)) = product(product(product(b,a),a),b) ),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(a,b,product(a,b)))),bigC(a,b,product(a,b))) )],[refute_0_23964,refute_0_23965]) ).

cnf(refute_0_23967,plain,
    bigC(a,b,product(a,b)) = product(product(product(b,a),a),b),
    inference(resolve,[$cnf( $equal(difference(c,product(c,bigC(a,b,product(a,b)))),product(product(product(b,a),a),b)) )],[refute_0_23963,refute_0_23966]) ).

cnf(refute_0_23968,plain,
    ( bigC(a,b,product(a,b)) != product(product(product(b,a),a),b)
    | product(product(product(b,a),a),b) = bigC(a,b,product(a,b)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,b,product(a,b)))),bind(Y,$fot(product(product(product(b,a),a),b)))]]) ).

cnf(refute_0_23969,plain,
    product(product(product(b,a),a),b) = bigC(a,b,product(a,b)),
    inference(resolve,[$cnf( $equal(bigC(a,b,product(a,b)),product(product(product(b,a),a),b)) )],[refute_0_23967,refute_0_23968]) ).

cnf(refute_0_23970,plain,
    product(C,product(product(product(b,a),a),b)) = product(C,product(product(product(b,a),a),b)),
    introduced(tautology,[refl,[$fot(product(C,product(product(product(b,a),a),b)))]]) ).

cnf(refute_0_23971,plain,
    ( product(C,product(product(product(b,a),a),b)) != product(C,product(product(product(b,a),a),b))
    | product(product(product(b,a),a),b) != bigC(a,b,product(a,b))
    | product(C,product(product(product(b,a),a),b)) = product(C,bigC(a,b,product(a,b))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(C,product(product(product(b,a),a),b)),product(C,product(product(product(b,a),a),b))) ),[1,1],$fot(bigC(a,b,product(a,b)))]]) ).

cnf(refute_0_23972,plain,
    ( product(product(product(b,a),a),b) != bigC(a,b,product(a,b))
    | product(C,product(product(product(b,a),a),b)) = product(C,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(C,product(product(product(b,a),a),b)),product(C,product(product(product(b,a),a),b))) )],[refute_0_23970,refute_0_23971]) ).

cnf(refute_0_23973,plain,
    product(C,product(product(product(b,a),a),b)) = product(C,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(product(b,a),a),b),bigC(a,b,product(a,b))) )],[refute_0_23969,refute_0_23972]) ).

cnf(refute_0_23974,plain,
    product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,c),product(C,product(product(product(b,a),a),b))),
    introduced(tautology,[refl,[$fot(product(product(A,c),product(C,product(product(product(b,a),a),b))))]]) ).

cnf(refute_0_23975,plain,
    ( product(C,product(product(product(b,a),a),b)) != product(C,bigC(a,b,product(a,b)))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) != product(product(A,c),product(C,product(product(product(b,a),a),b)))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,c),product(C,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,c),product(C,product(product(product(b,a),a),b)))) ),[1,1],$fot(product(C,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_23976,plain,
    ( product(C,product(product(product(b,a),a),b)) != product(C,bigC(a,b,product(a,b)))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,c),product(C,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,c),product(C,product(product(product(b,a),a),b)))) )],[refute_0_23974,refute_0_23975]) ).

cnf(refute_0_23977,plain,
    product(product(A,c),product(C,product(product(product(b,a),a),b))) = product(product(A,c),product(C,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(C,product(product(product(b,a),a),b)),product(C,bigC(a,b,product(a,b)))) )],[refute_0_23973,refute_0_23976]) ).

cnf(refute_0_23978,plain,
    ( product(product(A,c),product(C,product(product(product(b,a),a),b))) != product(product(A,C),product(c,bigC(a,b,product(a,b))))
    | product(product(A,c),product(C,product(product(product(b,a),a),b))) != product(product(A,c),product(C,bigC(a,b,product(a,b))))
    | product(product(A,c),product(C,bigC(a,b,product(a,b)))) = product(product(A,C),product(c,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,C),product(c,bigC(a,b,product(a,b))))) ),[0],$fot(product(product(A,c),product(C,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_23979,plain,
    ( product(product(A,c),product(C,product(product(product(b,a),a),b))) != product(product(A,C),product(c,bigC(a,b,product(a,b))))
    | product(product(A,c),product(C,bigC(a,b,product(a,b)))) = product(product(A,C),product(c,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,c),product(C,bigC(a,b,product(a,b))))) )],[refute_0_23977,refute_0_23978]) ).

cnf(refute_0_23980,plain,
    product(product(A,c),product(C,bigC(a,b,product(a,b)))) = product(product(A,C),product(c,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,product(product(product(b,a),a),b))),product(product(A,C),product(c,bigC(a,b,product(a,b))))) )],[refute_0_23959,refute_0_23979]) ).

cnf(refute_0_23981,plain,
    ( product(product(A,c),product(C,bigC(a,b,product(a,b)))) != product(product(A,C),product(c,bigC(a,b,product(a,b))))
    | product(product(A,C),product(c,bigC(a,b,product(a,b)))) = product(product(A,c),product(C,bigC(a,b,product(a,b)))) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(product(A,c),product(C,bigC(a,b,product(a,b)))))),bind(Y,$fot(product(product(A,C),product(c,bigC(a,b,product(a,b))))))]]) ).

cnf(refute_0_23982,plain,
    product(product(A,C),product(c,bigC(a,b,product(a,b)))) = product(product(A,c),product(C,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(A,c),product(C,bigC(a,b,product(a,b)))),product(product(A,C),product(c,bigC(a,b,product(a,b))))) )],[refute_0_23980,refute_0_23981]) ).

cnf(refute_0_23983,plain,
    product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) = product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))),
    inference(subst,[],[refute_0_23982:[bind(A,$fot(b)),bind(C,$fot(product(bigC(a,a,c),a)))]]) ).

cnf(refute_0_23984,plain,
    ( product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) != bigC(b,c,quotient(a,c))
    | product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) != product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))))
    | product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) = bigC(b,c,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))))),bind(Y,$fot(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))))),bind(Z,$fot(bigC(b,c,quotient(a,c))))]]) ).

cnf(refute_0_23985,plain,
    ( product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))) != bigC(b,c,quotient(a,c))
    | product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) = bigC(b,c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))),product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b))))) )],[refute_0_23983,refute_0_23984]) ).

cnf(refute_0_23986,plain,
    product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) = bigC(b,c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,c),product(product(bigC(a,a,c),a),bigC(a,b,product(a,b)))),bigC(b,c,quotient(a,c))) )],[refute_0_23879,refute_0_23985]) ).

cnf(refute_0_23987,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,c,a),c)
    | bigC(c,product(a,c),c) != bigC(c,c,product(a,c))
    | bigC(c,product(a,c),c) = product(bigC(c,c,a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,product(a,c),c))),bind(Y,$fot(bigC(c,c,product(a,c)))),bind(Z,$fot(product(bigC(c,c,a),c)))]]) ).

cnf(refute_0_23988,plain,
    ( bigC(c,c,product(a,c)) != product(bigC(c,c,a),c)
    | bigC(c,product(a,c),c) = product(bigC(c,c,a),c) ),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),c),bigC(c,c,product(a,c))) )],[refute_0_12952,refute_0_23987]) ).

cnf(refute_0_23989,plain,
    bigC(c,product(a,c),c) = product(bigC(c,c,a),c),
    inference(resolve,[$cnf( $equal(bigC(c,c,product(a,c)),product(bigC(c,c,a),c)) )],[refute_0_1612,refute_0_23988]) ).

cnf(refute_0_23990,plain,
    product(bigC(a,a,b),product(c,c)) = bigC(c,product(a,c),c),
    inference(subst,[],[refute_0_1033:[bind(X_23,$fot(c))]]) ).

cnf(refute_0_23991,plain,
    ( bigC(c,product(a,c),c) != product(bigC(c,c,a),c)
    | product(bigC(a,a,b),product(c,c)) != bigC(c,product(a,c),c)
    | product(bigC(a,a,b),product(c,c)) = product(bigC(c,c,a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(bigC(a,a,b),product(c,c)))),bind(Y,$fot(bigC(c,product(a,c),c))),bind(Z,$fot(product(bigC(c,c,a),c)))]]) ).

cnf(refute_0_23992,plain,
    ( bigC(c,product(a,c),c) != product(bigC(c,c,a),c)
    | product(bigC(a,a,b),product(c,c)) = product(bigC(c,c,a),c) ),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,c)),bigC(c,product(a,c),c)) )],[refute_0_23990,refute_0_23991]) ).

cnf(refute_0_23993,plain,
    product(bigC(a,a,b),product(c,c)) = product(bigC(c,c,a),c),
    inference(resolve,[$cnf( $equal(bigC(c,product(a,c),c),product(bigC(c,c,a),c)) )],[refute_0_23989,refute_0_23992]) ).

cnf(refute_0_23994,plain,
    product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(a,a,b),product(c,c)),
    inference(subst,[],[refute_0_983:[bind(X_64,$fot(bigC(a,a,b))),bind(X_65,$fot(c)),bind(X_66,$fot(c))]]) ).

cnf(refute_0_23995,plain,
    ( product(bigC(a,a,b),product(c,c)) != product(bigC(c,c,a),c)
    | product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) != product(bigC(a,a,b),product(c,c))
    | product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(c,c,a),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)))),bind(Y,$fot(product(bigC(a,a,b),product(c,c)))),bind(Z,$fot(product(bigC(c,c,a),c)))]]) ).

cnf(refute_0_23996,plain,
    ( product(bigC(a,a,b),product(c,c)) != product(bigC(c,c,a),c)
    | product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(c,c,a),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),product(bigC(a,a,b),product(c,c))) )],[refute_0_23994,refute_0_23995]) ).

cnf(refute_0_23997,plain,
    product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(c,c,a),c),
    inference(resolve,[$cnf( $equal(product(bigC(a,a,b),product(c,c)),product(bigC(c,c,a),c)) )],[refute_0_23993,refute_0_23996]) ).

cnf(refute_0_23998,plain,
    ( product(bigC(c,c,a),c) != product(bigC(a,a,b),c)
    | product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) != product(bigC(c,c,a),c)
    | product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(a,a,b),c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)))),bind(Y,$fot(product(bigC(c,c,a),c))),bind(Z,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_23999,plain,
    ( product(bigC(c,c,a),c) != product(bigC(a,a,b),c)
    | product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(a,a,b),c) ),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),product(bigC(c,c,a),c)) )],[refute_0_23997,refute_0_23998]) ).

cnf(refute_0_24000,plain,
    product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) = product(bigC(a,a,b),c),
    inference(resolve,[$cnf( $equal(product(bigC(c,c,a),c),product(bigC(a,a,b),c)) )],[refute_0_12948,refute_0_23999]) ).

cnf(refute_0_24001,plain,
    product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c),
    introduced(tautology,[refl,[$fot(product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))]]) ).

cnf(refute_0_24002,plain,
    ( product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) != product(bigC(a,a,b),c)
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) != product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(product(bigC(a,a,b),c),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) ),[1,0],$fot(product(bigC(a,a,b),c))]]) ).

cnf(refute_0_24003,plain,
    ( product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)) != product(bigC(a,a,b),c)
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(product(bigC(a,a,b),c),c) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) )],[refute_0_24001,refute_0_24002]) ).

cnf(refute_0_24004,plain,
    product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(product(bigC(a,a,b),c),c),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),product(bigC(a,a,b),c)) )],[refute_0_24000,refute_0_24003]) ).

cnf(refute_0_24005,plain,
    ( product(product(bigC(a,a,b),c),c) != product(c,bigC(a,b,product(a,b)))
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) != product(product(bigC(a,a,b),c),c)
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(c,bigC(a,b,product(a,b))) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))),bind(Y,$fot(product(product(bigC(a,a,b),c),c))),bind(Z,$fot(product(c,bigC(a,b,product(a,b)))))]]) ).

cnf(refute_0_24006,plain,
    ( product(product(bigC(a,a,b),c),c) != product(c,bigC(a,b,product(a,b)))
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(c,bigC(a,b,product(a,b))) ),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c),product(product(bigC(a,a,b),c),c)) )],[refute_0_24004,refute_0_24005]) ).

cnf(refute_0_24007,plain,
    product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) = product(c,bigC(a,b,product(a,b))),
    inference(resolve,[$cnf( $equal(product(product(bigC(a,a,b),c),c),product(c,bigC(a,b,product(a,b)))) )],[refute_0_23709,refute_0_24006]) ).

cnf(refute_0_24008,plain,
    product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),
    introduced(tautology,[refl,[$fot(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)))]]) ).

cnf(refute_0_24009,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) != product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))
    | product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) != product(c,bigC(a,b,product(a,b)))
    | product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))) ),[1,1],$fot(product(c,bigC(a,b,product(a,b))))]]) ).

cnf(refute_0_24010,plain,
    ( product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c) != product(c,bigC(a,b,product(a,b)))
    | product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))) )],[refute_0_24008,refute_0_24009]) ).

cnf(refute_0_24011,plain,
    product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))),
    inference(resolve,[$cnf( $equal(product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c),product(c,bigC(a,b,product(a,b)))) )],[refute_0_24007,refute_0_24010]) ).

cnf(refute_0_24012,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) != bigC(b,c,quotient(a,c))
    | product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) != product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))
    | product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = bigC(b,c,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)))),bind(Y,$fot(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))))),bind(Z,$fot(bigC(b,c,quotient(a,c))))]]) ).

cnf(refute_0_24013,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))) != bigC(b,c,quotient(a,c))
    | product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = bigC(b,c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b))))) )],[refute_0_24011,refute_0_24012]) ).

cnf(refute_0_24014,plain,
    product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) = bigC(b,c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(c,bigC(a,b,product(a,b)))),bigC(b,c,quotient(a,c))) )],[refute_0_23986,refute_0_24013]) ).

cnf(refute_0_24015,plain,
    product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c)) = product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),
    inference(subst,[],[refute_0_35:[bind(A,$fot(b)),bind(B,$fot(product(bigC(a,a,c),a))),bind(C,$fot(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)))),bind(D,$fot(c))]]) ).

cnf(refute_0_24016,plain,
    product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c)),
    inference(subst,[],[refute_0_21130:[bind(B,$fot(product(bigC(a,a,c),a))),bind(D,$fot(c)),bind(X_136,$fot(b)),bind(X_137,$fot(product(bigC(a,a,b),c))),bind(X_138,$fot(product(bigC(a,a,b),c)))]]) ).

cnf(refute_0_24017,plain,
    ( product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c)) != product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) != product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)))),bind(Y,$fot(product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c)))),bind(Z,$fot(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))))]]) ).

cnf(refute_0_24018,plain,
    ( product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c)) != product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)),product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c))) )],[refute_0_24016,refute_0_24017]) ).

cnf(refute_0_24019,plain,
    product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(product(bigC(a,a,b),c),product(bigC(a,a,b),c))),product(product(bigC(a,a,c),a),c)),product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))) )],[refute_0_24015,refute_0_24018]) ).

cnf(refute_0_24020,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) != bigC(b,c,quotient(a,c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) != product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = bigC(b,c,quotient(a,c)) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)))),bind(Y,$fot(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)))),bind(Z,$fot(bigC(b,c,quotient(a,c))))]]) ).

cnf(refute_0_24021,plain,
    ( product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)) != bigC(b,c,quotient(a,c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = bigC(b,c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)),product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c))) )],[refute_0_24019,refute_0_24020]) ).

cnf(refute_0_24022,plain,
    product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) = bigC(b,c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(product(b,product(bigC(a,a,c),a)),product(product(product(bigC(a,a,b),c),product(bigC(a,a,b),c)),c)),bigC(b,c,quotient(a,c))) )],[refute_0_24014,refute_0_24021]) ).

cnf(refute_0_24023,plain,
    ( product(c,product(c,a)) != product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))
    | product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)) != bigC(b,c,quotient(a,c))
    | product(c,product(c,a)) = bigC(b,c,quotient(a,c)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(product(c,product(c,a)),bigC(b,c,quotient(a,c))) ),[0],$fot(product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)))]]) ).

cnf(refute_0_24024,plain,
    ( product(c,product(c,a)) != product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))
    | product(c,product(c,a)) = bigC(b,c,quotient(a,c)) ),
    inference(resolve,[$cnf( $equal(product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c)),bigC(b,c,quotient(a,c))) )],[refute_0_24022,refute_0_24023]) ).

cnf(refute_0_24025,plain,
    product(c,product(c,a)) = bigC(b,c,quotient(a,c)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),product(product(product(b,product(bigC(a,a,b),c)),product(bigC(a,a,c),a)),product(product(b,product(bigC(a,a,b),c)),c))) )],[refute_0_23826,refute_0_24024]) ).

cnf(refute_0_24026,plain,
    ( product(c,product(c,a)) != bigC(b,c,quotient(a,c))
    | bigC(b,c,quotient(a,c)) = product(c,product(c,a)) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(product(c,product(c,a)))),bind(Y,$fot(bigC(b,c,quotient(a,c))))]]) ).

cnf(refute_0_24027,plain,
    bigC(b,c,quotient(a,c)) = product(c,product(c,a)),
    inference(resolve,[$cnf( $equal(product(c,product(c,a)),bigC(b,c,quotient(a,c))) )],[refute_0_24025,refute_0_24026]) ).

cnf(refute_0_24028,plain,
    ( bigC(b,c,quotient(a,c)) != product(c,product(c,a))
    | difference(product(b,c),bigC(b,c,quotient(a,c))) != product(quotient(a,c),b)
    | difference(product(b,c),product(c,product(c,a))) = product(quotient(a,c),b) ),
    introduced(tautology,[equality,[$cnf( $equal(difference(product(b,c),bigC(b,c,quotient(a,c))),product(quotient(a,c),b)) ),[0,1],$fot(product(c,product(c,a)))]]) ).

cnf(refute_0_24029,plain,
    ( difference(product(b,c),bigC(b,c,quotient(a,c))) != product(quotient(a,c),b)
    | difference(product(b,c),product(c,product(c,a))) = product(quotient(a,c),b) ),
    inference(resolve,[$cnf( $equal(bigC(b,c,quotient(a,c)),product(c,product(c,a))) )],[refute_0_24027,refute_0_24028]) ).

cnf(refute_0_24030,plain,
    difference(product(b,c),product(c,product(c,a))) = product(quotient(a,c),b),
    inference(resolve,[$cnf( $equal(difference(product(b,c),bigC(b,c,quotient(a,c))),product(quotient(a,c),b)) )],[refute_0_23111,refute_0_24029]) ).

cnf(refute_0_24031,plain,
    ( difference(product(b,c),product(c,product(c,a))) != product(quotient(a,c),b)
    | product(quotient(a,c),b) != product(a,c)
    | difference(product(b,c),product(c,product(c,a))) = product(a,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(difference(product(b,c),product(c,product(c,a))),product(a,c)) ),[0],$fot(product(quotient(a,c),b))]]) ).

cnf(refute_0_24032,plain,
    ( difference(product(b,c),product(c,product(c,a))) != product(quotient(a,c),b)
    | difference(product(b,c),product(c,product(c,a))) = product(a,c) ),
    inference(resolve,[$cnf( $equal(product(quotient(a,c),b),product(a,c)) )],[refute_0_22794,refute_0_24031]) ).

cnf(refute_0_24033,plain,
    difference(product(b,c),product(c,product(c,a))) = product(a,c),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,product(c,a))),product(quotient(a,c),b)) )],[refute_0_24030,refute_0_24032]) ).

cnf(refute_0_24034,plain,
    ( bigC(product(b,c),difference(product(b,c),product(c,product(c,a))),X_23) != product(product(c,product(c,a)),product(X_23,product(b,c)))
    | difference(product(b,c),product(c,product(c,a))) != product(a,c)
    | bigC(product(b,c),product(a,c),X_23) = product(product(c,product(c,a)),product(X_23,product(b,c))) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(product(b,c),difference(product(b,c),product(c,product(c,a))),X_23),product(product(c,product(c,a)),product(X_23,product(b,c)))) ),[0,1],$fot(product(a,c))]]) ).

cnf(refute_0_24035,plain,
    ( bigC(product(b,c),difference(product(b,c),product(c,product(c,a))),X_23) != product(product(c,product(c,a)),product(X_23,product(b,c)))
    | bigC(product(b,c),product(a,c),X_23) = product(product(c,product(c,a)),product(X_23,product(b,c))) ),
    inference(resolve,[$cnf( $equal(difference(product(b,c),product(c,product(c,a))),product(a,c)) )],[refute_0_24033,refute_0_24034]) ).

cnf(refute_0_24036,plain,
    bigC(product(b,c),product(a,c),X_23) = product(product(c,product(c,a)),product(X_23,product(b,c))),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),difference(product(b,c),product(c,product(c,a))),X_23),product(product(c,product(c,a)),product(X_23,product(b,c)))) )],[refute_0_23110,refute_0_24035]) ).

cnf(refute_0_24037,plain,
    product(product(c,X_23),c) = bigC(c,X_23,c),
    inference(subst,[],[refute_0_250:[bind(X_21,$fot(c)),bind(X_22,$fot(X_23))]]) ).

cnf(refute_0_24038,plain,
    product(product(c,X_23),bigC(c,a,b)) = product(product(c,X_23),bigC(c,a,b)),
    introduced(tautology,[refl,[$fot(product(product(c,X_23),bigC(c,a,b)))]]) ).

cnf(refute_0_24039,plain,
    ( bigC(c,a,b) != c
    | product(product(c,X_23),bigC(c,a,b)) != product(product(c,X_23),bigC(c,a,b))
    | product(product(c,X_23),bigC(c,a,b)) = product(product(c,X_23),c) ),
    introduced(tautology,[equality,[$cnf( $equal(product(product(c,X_23),bigC(c,a,b)),product(product(c,X_23),bigC(c,a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_24040,plain,
    ( bigC(c,a,b) != c
    | product(product(c,X_23),bigC(c,a,b)) = product(product(c,X_23),c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(c,a,b)),product(product(c,X_23),bigC(c,a,b))) )],[refute_0_24038,refute_0_24039]) ).

cnf(refute_0_24041,plain,
    product(product(c,X_23),bigC(c,a,b)) = product(product(c,X_23),c),
    inference(resolve,[$cnf( $equal(bigC(c,a,b),c) )],[refute_0_473,refute_0_24040]) ).

cnf(refute_0_24042,plain,
    ( product(product(c,X_23),bigC(c,a,b)) != product(product(c,X_23),c)
    | product(product(c,X_23),c) != bigC(c,X_23,c)
    | product(product(c,X_23),bigC(c,a,b)) = bigC(c,X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,X_23),bigC(c,a,b)))),bind(Y,$fot(product(product(c,X_23),c))),bind(Z,$fot(bigC(c,X_23,c)))]]) ).

cnf(refute_0_24043,plain,
    ( product(product(c,X_23),c) != bigC(c,X_23,c)
    | product(product(c,X_23),bigC(c,a,b)) = bigC(c,X_23,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(c,a,b)),product(product(c,X_23),c)) )],[refute_0_24041,refute_0_24042]) ).

cnf(refute_0_24044,plain,
    product(product(c,X_23),bigC(c,a,b)) = bigC(c,X_23,c),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),c),bigC(c,X_23,c)) )],[refute_0_24037,refute_0_24043]) ).

cnf(refute_0_24045,plain,
    product(product(c,product(c,a)),product(X_23,product(b,c))) = product(product(c,X_23),bigC(c,a,b)),
    inference(subst,[],[refute_0_1856:[bind(A,$fot(c)),bind(B,$fot(a)),bind(C,$fot(b)),bind(X_63,$fot(c)),bind(X_64,$fot(X_23))]]) ).

cnf(refute_0_24046,plain,
    ( product(product(c,X_23),bigC(c,a,b)) != bigC(c,X_23,c)
    | product(product(c,product(c,a)),product(X_23,product(b,c))) != product(product(c,X_23),bigC(c,a,b))
    | product(product(c,product(c,a)),product(X_23,product(b,c))) = bigC(c,X_23,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(c,product(c,a)),product(X_23,product(b,c))))),bind(Y,$fot(product(product(c,X_23),bigC(c,a,b)))),bind(Z,$fot(bigC(c,X_23,c)))]]) ).

cnf(refute_0_24047,plain,
    ( product(product(c,X_23),bigC(c,a,b)) != bigC(c,X_23,c)
    | product(product(c,product(c,a)),product(X_23,product(b,c))) = bigC(c,X_23,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(X_23,product(b,c))),product(product(c,X_23),bigC(c,a,b))) )],[refute_0_24045,refute_0_24046]) ).

cnf(refute_0_24048,plain,
    product(product(c,product(c,a)),product(X_23,product(b,c))) = bigC(c,X_23,c),
    inference(resolve,[$cnf( $equal(product(product(c,X_23),bigC(c,a,b)),bigC(c,X_23,c)) )],[refute_0_24044,refute_0_24047]) ).

cnf(refute_0_24049,plain,
    ( bigC(product(b,c),product(a,c),X_23) != product(product(c,product(c,a)),product(X_23,product(b,c)))
    | product(product(c,product(c,a)),product(X_23,product(b,c))) != bigC(c,X_23,c)
    | bigC(product(b,c),product(a,c),X_23) = bigC(c,X_23,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(product(b,c),product(a,c),X_23),bigC(c,X_23,c)) ),[0],$fot(product(product(c,product(c,a)),product(X_23,product(b,c))))]]) ).

cnf(refute_0_24050,plain,
    ( bigC(product(b,c),product(a,c),X_23) != product(product(c,product(c,a)),product(X_23,product(b,c)))
    | bigC(product(b,c),product(a,c),X_23) = bigC(c,X_23,c) ),
    inference(resolve,[$cnf( $equal(product(product(c,product(c,a)),product(X_23,product(b,c))),bigC(c,X_23,c)) )],[refute_0_24048,refute_0_24049]) ).

cnf(refute_0_24051,plain,
    bigC(product(b,c),product(a,c),X_23) = bigC(c,X_23,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(a,c),X_23),product(product(c,product(c,a)),product(X_23,product(b,c)))) )],[refute_0_24036,refute_0_24050]) ).

cnf(refute_0_24052,plain,
    bigC(product(b,c),product(a,c),X_22) = bigC(c,X_22,c),
    inference(subst,[],[refute_0_24051:[bind(X_23,$fot(X_22))]]) ).

cnf(refute_0_24053,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22),
    introduced(tautology,[refl,[$fot(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22))]]) ).

cnf(refute_0_24054,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) != bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22)
    | difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(product(b,c),product(a,c),X_22) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22),bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22)) ),[1,0],$fot(product(b,c))]]) ).

cnf(refute_0_24055,plain,
    ( difference(product(a,c),product(c,product(c,b))) != product(b,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(product(b,c),product(a,c),X_22) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22),bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22)) )],[refute_0_24053,refute_0_24054]) ).

cnf(refute_0_24056,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(product(b,c),product(a,c),X_22),
    inference(resolve,[$cnf( $equal(difference(product(a,c),product(c,product(c,b))),product(b,c)) )],[refute_0_23078,refute_0_24055]) ).

cnf(refute_0_24057,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) != bigC(product(b,c),product(a,c),X_22)
    | bigC(product(b,c),product(a,c),X_22) != bigC(c,X_22,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(c,X_22,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22))),bind(Y,$fot(bigC(product(b,c),product(a,c),X_22))),bind(Z,$fot(bigC(c,X_22,c)))]]) ).

cnf(refute_0_24058,plain,
    ( bigC(product(b,c),product(a,c),X_22) != bigC(c,X_22,c)
    | bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(c,X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22),bigC(product(b,c),product(a,c),X_22)) )],[refute_0_24056,refute_0_24057]) ).

cnf(refute_0_24059,plain,
    bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) = bigC(c,X_22,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),product(a,c),X_22),bigC(c,X_22,c)) )],[refute_0_24052,refute_0_24058]) ).

cnf(refute_0_24060,plain,
    product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22),
    inference(subst,[],[refute_0_3258:[bind(B,$fot(product(c,product(c,b)))),bind(X_23,$fot(product(a,c)))]]) ).

cnf(refute_0_24061,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) != bigC(c,X_22,c)
    | product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) != bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22)
    | product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(c,X_22,c) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))))),bind(Y,$fot(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22))),bind(Z,$fot(bigC(c,X_22,c)))]]) ).

cnf(refute_0_24062,plain,
    ( bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22) != bigC(c,X_22,c)
    | product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(c,X_22,c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))),bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22)) )],[refute_0_24060,refute_0_24061]) ).

cnf(refute_0_24063,plain,
    product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) = bigC(c,X_22,c),
    inference(resolve,[$cnf( $equal(bigC(difference(product(a,c),product(c,product(c,b))),product(a,c),X_22),bigC(c,X_22,c)) )],[refute_0_24059,refute_0_24062]) ).

cnf(refute_0_24064,plain,
    ( bigC(a,X_22,b) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))) != bigC(c,X_22,c)
    | bigC(a,X_22,b) = bigC(c,X_22,c) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,X_22,b),bigC(c,X_22,c)) ),[0],$fot(product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))))]]) ).

cnf(refute_0_24065,plain,
    ( bigC(a,X_22,b) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(a,X_22,b) = bigC(c,X_22,c) ),
    inference(resolve,[$cnf( $equal(product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b))),bigC(c,X_22,c)) )],[refute_0_24063,refute_0_24064]) ).

cnf(refute_0_24066,plain,
    ( bigC(product(b,c),X_22,product(a,c)) != product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))
    | bigC(a,X_22,b) = bigC(c,X_22,c) ),
    inference(resolve,[$cnf( $equal(bigC(a,X_22,b),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_23109,refute_0_24065]) ).

cnf(refute_0_24067,plain,
    bigC(a,X_22,b) = bigC(c,X_22,c),
    inference(resolve,[$cnf( $equal(bigC(product(b,c),X_22,product(a,c)),product(product(difference(product(a,c),product(c,product(c,b))),X_22),product(c,product(c,b)))) )],[refute_0_23081,refute_0_24066]) ).

cnf(refute_0_24068,plain,
    ( bigC(a,X_22,b) != bigC(c,X_22,c)
    | bigC(c,X_22,c) = bigC(a,X_22,b) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(bigC(a,X_22,b))),bind(Y,$fot(bigC(c,X_22,c)))]]) ).

cnf(refute_0_24069,plain,
    bigC(c,X_22,c) = bigC(a,X_22,b),
    inference(resolve,[$cnf( $equal(bigC(a,X_22,b),bigC(c,X_22,c)) )],[refute_0_24067,refute_0_24068]) ).

cnf(refute_0_24070,plain,
    bigC(c,X_65,c) = bigC(a,X_65,b),
    inference(subst,[],[refute_0_24069:[bind(X_22,$fot(X_65))]]) ).

cnf(refute_0_24071,plain,
    ( bigC(c,X_65,c) != bigC(a,X_65,b)
    | bigC(c,c,X_65) != bigC(c,X_65,c)
    | bigC(c,c,X_65) = bigC(a,X_65,b) ),
    introduced(tautology,[equality,[$cnf( $equal(bigC(c,c,X_65),bigC(c,X_65,c)) ),[1],$fot(bigC(a,X_65,b))]]) ).

cnf(refute_0_24072,plain,
    ( bigC(c,c,X_65) != bigC(c,X_65,c)
    | bigC(c,c,X_65) = bigC(a,X_65,b) ),
    inference(resolve,[$cnf( $equal(bigC(c,X_65,c),bigC(a,X_65,b)) )],[refute_0_24070,refute_0_24071]) ).

cnf(refute_0_24073,plain,
    bigC(c,c,X_65) = bigC(a,X_65,b),
    inference(resolve,[$cnf( $equal(bigC(c,c,X_65),bigC(c,X_65,c)) )],[refute_0_22963,refute_0_24072]) ).

cnf(refute_0_24074,plain,
    bigC(c,c,x0) = bigC(a,x0,b),
    inference(subst,[],[refute_0_24073:[bind(X_65,$fot(x0))]]) ).

cnf(refute_0_24075,plain,
    ( bigC(a,x0,b) != bigC(a,b,x0)
    | bigC(c,c,x0) != bigC(a,x0,b)
    | bigC(c,c,x0) = bigC(a,b,x0) ),
    inference(subst,[],[refute_0_44:[bind(X,$fot(bigC(c,c,x0))),bind(Y,$fot(bigC(a,x0,b))),bind(Z,$fot(bigC(a,b,x0)))]]) ).

cnf(refute_0_24076,plain,
    ( bigC(a,x0,b) != bigC(a,b,x0)
    | bigC(c,c,x0) = bigC(a,b,x0) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,x0),bigC(a,x0,b)) )],[refute_0_24074,refute_0_24075]) ).

cnf(refute_0_24077,plain,
    bigC(c,c,x0) = bigC(a,b,x0),
    inference(resolve,[$cnf( $equal(bigC(a,x0,b),bigC(a,b,x0)) )],[refute_0_15,refute_0_24076]) ).

cnf(refute_0_24078,plain,
    ( bigC(a,b,x0) != bigC(a,b,x0)
    | bigC(c,c,x0) != bigC(a,b,x0)
    | bigC(a,b,x0) = bigC(c,c,x0) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(bigC(a,b,x0),bigC(c,c,x0)) ),[1],$fot(bigC(a,b,x0))]]) ).

cnf(refute_0_24079,plain,
    ( bigC(a,b,x0) != bigC(a,b,x0)
    | bigC(a,b,x0) = bigC(c,c,x0) ),
    inference(resolve,[$cnf( $equal(bigC(c,c,x0),bigC(a,b,x0)) )],[refute_0_24077,refute_0_24078]) ).

cnf(refute_0_24080,plain,
    bigC(a,b,x0) != bigC(a,b,x0),
    inference(resolve,[$cnf( $equal(bigC(a,b,x0),bigC(c,c,x0)) )],[refute_0_24079,goal]) ).

cnf(refute_0_24081,plain,
    bigC(a,b,x0) = bigC(a,b,x0),
    introduced(tautology,[refl,[$fot(bigC(a,b,x0))]]) ).

cnf(refute_0_24082,plain,
    $false,
    inference(resolve,[$cnf( $equal(bigC(a,b,x0),bigC(a,b,x0)) )],[refute_0_24081,refute_0_24080]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GRP777-10 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 04:07:03 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 173.86/174.08  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 173.86/174.08  
% 173.86/174.08  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 178.25/178.49  
%------------------------------------------------------------------------------